Answer:
Step-by-step explanation:
To solve the equation (-1)/(x-5) = 2/(x+4), we can start by cross-multiplying:
(-1)(x+4) = 2(x-5)
Expanding both sides and simplifying, we get:
-x - 4 = 2x - 10
Bringing all the x terms to one side and all the constant terms to the other, we get:
3x = 6
Dividing both sides by 3, we get:
x = 2
So the solution to the equation is x = 2. However, we need to check if this value of x makes the denominators of the original equation non-zero. Plugging x = 2 into the original equation, we get:
(-1)/(2-5) = 2/(2+4)
Simplifying, we get:
1/3 = 1/3
Since both sides are equal, the solution x = 2 satisfies the original equation. Therefore, the only solution to the equation is x = 2.
Answer: x = 2
Step-by-step explanation:
[tex]\boldsymbol{\sf{The\:exercise\:is \longmapsto \ \dfrac{-1}{x-5}=\dfrac{2}{x+4} }}[/tex]
We cross multiply.
-(x + 4) = 2(x - 5)
We apply the multiplicative law of distribution.
-x -4 = 2(x - 5)
-x - 4 = 2x - 10
We rearrange the unknown terms to the left side of the equation.
-x - 2x = -10 + 4 <===Combine as terms===> -3x = -10 + 4
We calculate -10 + 4 = -6.
-3x = -6
We divide both sides of the equation by the coefficient of the variable.
[tex]\boldsymbol{\sf{x=\dfrac{-6}{-3} \iff \ x=\dfrac{6}{3} }}[/tex]
x = 2
100 points + brainliest!
Answer: D = √2
(please respond if im wrong)
Step-by-step explanation:
The fold is made along BE. A folds onto A′.
A′B = AB =√2 ⇒ A′C = 1
(by Pythagoras)
ΔA′BC
is therefore a right-angled isosceles triangle.
⇒∠BA′C=45∘ ⇒∠EA′D=45∘
⇒ ED = A′D = √2−1
Given the equation of a line in standard form, determine the slope, y-intercept, and
sketch the line.
x-3y = -9
The slope of x - 3y = -9 is, m = 1/3, while the y-intercept (b) is 3.
The sketch of x - 3y = -9 is shown below.
How to Determine the Slope and Y-intercept of the Equation of a Line?To determine the slope and y-intercept of the line given by the equation x - 3y = -9, we can rewrite it in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
To do this, we can solve for y:
x - 3y = -9
-3y = -x - 9
y = (1/3)x + 3
Now we can see that the slope of the line is m = 1/3, and the y-intercept is b = 3.
To sketch the line, we can use the slope and y-intercept. We can start by plotting the y-intercept (0,3) on the y-axis. From there, we can use the slope of 1/3 to find additional points on the line. For example, if we move 3 units to the right along the x-axis, we can move up 1 unit (since the slope is 1/3) to get another point on the line, which is (3,4). We can repeat this process to find more points on the line and then connect them to sketch the line.
The sketch is shown below in the attachment.
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The mail carrier has to deliver 3 boxes. The first box has a mass of 80 kilograms, the second box has a mass of 40 kilograms, and the third box has a mass of 60 kilograms. What is the total mass of all 3 boxes in grams?
180 grams
1,800 grams
18,000 grams
180,000 grams
Answer:
1,800 grams
Step-by-step explanation:
Answer:
180,000
Step-by-step explanation:
if you add 80+40+60=180kg
180kg is equal to 180,000g
sorry if it is wrong.
Someone can help me please #16
According to the information it can be inferred that the heaviest dog is 20 ounces heavier than the lightest dog.
How to calculate the difference in weight between the heaviest and lightest dogs?To calculate the difference in weight between the heaviest and lightest dogs we must identify the values of the lines according to the above, it can be inferred that the lightest dog is in the 0.5 pound position, while the heaviest dog is in the the 1.75 pound position.
To know the difference in ounces we must convert these values to ounces with the following information:
1 pound = 16 ouncesSo, we must apply a rule of three as shown below:
1 pound = 16 ounces0.5 pounds = ?0.5 * 1 / 16 = 81 pound = 16 ounces1.75 pounds = ?1.75 * 16 / 1 = 2828 - 8 = 20Based on the above, the difference in ounces would be 20 ounces.
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Which of the following situations would not be a proportional relationship?
Need a Hint?
Rosa has $50 and spends $6 every day for lunch for one week.
Jamie reads 22 pages per day for 8 days.
Matthew earns $12 per hour.
Candles costs $10 each.
Answer: Candles Cost $10 Each
Step-by-step explanation: Every single other question gains per hour/day while the candle cost always stays the same and you can come back a week later to find the candle to most likely still be 10$
Suppose ABC is a right triangle with sides a, b, and c and right angle at C. Use the Pythagorean theorem to find the unknown side length. Then find the values of the six trigonometric functions for angle B. Rationalize the denominators when applicable.
a=8, b=15
The six trigonometric functions' values for angle B in this right triangle are as follows: Tan(B) = 8/15 CSC(B) = 17/8 Sin(B) = 8/17 Cos(B) = 15/17 Tan(B) = 8/15 (rationalized denominator)
cot(B) = 15/8 sec(B) = 17/15.
The length of the unknown side, which in this case is the hypotenuse c, can be determined using the Pythagorean theorem:[tex]c2 equals a2 + b2; c2 equals 82 + 152; c2 equals 64 + 225^2 = 289 \sc = √289 \sc = 17[/tex]
Thus, the hypotenuse's length is 17.
We must first get the measure of angle B before we can determine the values of the six trigonometric functions for that angle. Since angle C is a right angle and the total of the angles in a triangle is 180 degrees, we can calculate angle B's measure as follows:
angle B is equal to 90 times angle A, or 90 times angle B.
For now, since we lack sufficient data to estimate the size of angle A, angle B will be specified in terms of an unknowable angle. We are still able to calculate the six trigonometric functions for angle B using the ratios of the triangle's side lengths.
B = opposite/hypotenuse = a/c = 8/17;
B = adjacent/hypotenuse = b/c = 15/17;
B = opposite/adjacent = a/b = 8/15;
B = hypotenuse/opposite = c/a = 17/8;
B = cos(B) = (rationalized denominator)
Hypotenuse/nearby = c/b = 17/15; adjacent/opposite = b/a = 15/8; sec(B) = c/b = 17/15; cot(B) = b/a = 15/8.
For angle B in this right triangle, the values of the six trigonometric functions are as follows:
sin(B) = 8/17
cos(B) = 15/17
tan(B) = 8/15
csc(B) = 17/8 (rationalized denominator)
sec(B) = 17/15
cot(B) = 15/8
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The scatter plot shows the number of strawberries that have been picked on the farm during the month of February:
Part A: Using computer software, a correlation coefficient of r = 0.01 was calculated. Based on the scatter plot, is that an accurate value for this data? Why or why not? (5 points)
Part B: Instead of comparing the number of strawberries picked and the day in February, write a scenario that would be a causal relationship for strawberries picked on the farm. (5 points)
Part A. The calculated correlation coefficient is incorrect.
Part B. A causal relationship for strawberries picked on the farm is the relationship between rainfall and number of strawberries picked.
What is scatter-plot?Scatter plots are the graphs that present the relationship between two variables in a data-set. It represents data points on a two-dimensional plane or on a Cartesian system. The independent variable or attribute is plotted on the X-axis, while the dependent variable is plotted on the Y-axis.
Given,
Part A: Using computer software, a correlation coefficient of r = 0.01 was calculated.
Observing the scatter-plot, the data is moderately correlated, as the days increase, the number of strawberries also increase, following upward trend,
r = 0.01 means that 1% of the variation in y is explained by the variation in x.
that means both quantities are very weakly correlated.
but the scatter-plot shows otherwise, so r = 0.01 is not an accurate value for the data.
Part B: Instead of comparing the number of strawberries picked and the day in February, write a scenario that would be a causal relationship for strawberries picked on the farm.
A causal relationship exists when one variable in a data set has a direct influence on another variable. Thus, one event triggers the occurrence of another event. A causal relationship is also referred to as cause and effect.
Here, rainfall could be reasonable variable that can effect the number of strawberries picked. when there is heavy rainfall, strawberries picked will be less.
Thus, the scenario could be:
Amount of rainfall in mm (x) Number of strawberries picked (y)
100 20
50 40
25 80
12.5 160
6.25 320
The amount of rainfall is a cause that affect the number of strawberries picked.
Hence,
The calculated correlation coefficient is false.
Another causal relationship for strawberries picked on the farm can be of rainfall in mm and number of strawberries picked on the farm.
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Graph the equation on the coordinate plane
y=-1/2x
Select two points on the line to graph the line
A graph of the linear equation y = -1/2(x) in slope-intercept form is shown in the image attached below.
What is a proportional relationship?In Mathematics, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.
Next, we would use an online graphing calculator to plot the given linear function as shown in the graph attached below.
In conclusion, the slope of this linear function is equal to -1/2 and it represents a proportional relationship.
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100 POINTS WILL MARK BRAINLIEST PLEASE HELPPPP
Using this chart of accounts, an acceptable account number for capital belonging to the stockholders' equity (SE) category is B. 3300.
What is the chart of accounts?The chart of accounts is the complete listing of an organization's general ledger accounts, classified according to the following primary categories:
AssetsLiabilitiesEquityExpensesRevenue.In the chart of accounts, S.E. represents Stockholders' Equity or Equity.
Thus, since the Equity category houses account numbers 3000 to 3999, the acceptable account number for capital which is a type of equity account is Option B.
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Which statistical test is most appropriate to use to answer the following research question? Is there a difference in mean height among middle school students based on gender (male and female) after controlling for age?
Determine which of the following are functions. Select all that apply.
All the given relations represent the functions.
What is Domain of a function?Domain is the set of {x} - values for which a function {y - values} exists. It is one of the important parameter while defining the characteristics of a function.
For a given relation to be a function, for one value of {x}, there should be only one unique value of {y}. From the given tables and functions, it can be seen that for the given values of {x}, there exist a unique value of {y}. All the given relations represent the functions.
Therefore, all the given relations represent the functions.
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Vocab
Vocabulary Check
Fill in each blank with the correct word(s) to complete each sentence.
6. Multiples that are shared by two or more numbers are
obc
ultiple other thar
Answer:
Common Multiple for #6
Step-by-step explanation:
Not sure if that's what you meant but hope this helps
HELP PLEASE!!!!!!
Square ABCD is graphed in the xy- plane with origin O. A transformation maps ABCD onto A'B'C'D'.
In the following table, consider the congruence statement listed in each row together with the type of transformation listed in each column.
Select each cell for which the congruence statement must be true for the type of transformation.
The transformation from ABCD onto A'B'C'D' is a rigid transformation.
How to determine the congruent statementsFrom the question, we have the following parameters that can be used in our computation:
A transformation maps ABCD onto A'B'C'D'
In order for a transformation to map square ABCD onto square A'B'C'D', certain congruence statements must be true.
The corresponding sides of ABCD and A'B'C'D' must have the same length i.e. AB = A'B', BC = B'C', CD = C'D', and DA = D'A'.
The corresponding angles of ABCD and A'B'C'D' must have the same measure i.e angle A = angle A', angle B = angle B', angle C = angle C', and angle D = angle D'.
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Tyreek is planning on driving to Outer Banks from Philadelphia. On the map, Tyreek is using, each inch represents 50 miles. If the distance on the map from Philadelphia to OBX is 7/34 inches, how far is it in actual miles? Show your work.
The distance from Philadelphia to Outer Banks is given by A = 10.294 miles
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the distance on the map be represented as
1 inch = 50 miles
So , the distance between Philadelphia to Outer Banks is = ( 7 / 34 ) inches
And , the distance between Philadelphia to Outer Banks = ( 7/34 ) x 50 miles
On simplifying the equation , we get
The distance between Philadelphia to Outer Banks A = 0.20588 x 50
The distance between Philadelphia to Outer Banks A = 10.294 miles
Hence , the distance is 10.294 miles
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FIRST QUESTION!
BRAINLIEST!
WHITETULIP!
The mean number of tornado events in the state of Ohio is 19 per year. Assume that the number of
tornadoes follows a Poisson distribution.
Find the probability that there will be 10 tornadoes in Ohio in a given year.
Round your answer to 3 decimal places.
0.001
O 0.009
O 0.034
O 0.312
O 0.111
Answer:
Step-by-step explanation:
Sure, I can provide a step-by-step solution to find the probability of observing 10 tornadoes in Ohio in a given year using the Poisson distribution.
Given information:
Mean number of tornado events in Ohio = 19 per year.
Number of tornadoes follows a Poisson distribution.
To find:
Probability of observing 10 tornadoes in Ohio in a given year.
Solution:
We can use the Poisson probability formula, which is given as:
P(X = k) = (e^(-λ) * λ^k) / k!
where X is the random variable representing the number of tornadoes in a year, λ is the mean number of tornadoes in a year, k is the number of tornadoes we want to find the probability for, and k! is the factorial of k.
Substituting the given values, we get:
P(X = 10) = (e^(-19) * 19^10) / 10!
Now, we can simplify this expression by calculating the values of e^(-19) and 10!.
e^(-19) ≈ 0.0000000000000000008352702118 (using a calculator)
10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3,628,800
Substituting these values, we get:
P(X = 10) = (0.0000000000000000008352702118 * 19^10) / 3,628,800
Now, we can simplify this expression by multiplying 0.0000000000000000008352702118 and 19^10 and then dividing by 3,628,800.
Multiplying 0.0000000000000000008352702118 and 19^10, we get:
0.0000000176218972
Dividing this by 3,628,800, we get:
P(X = 10) ≈ 0.009
Rounding this to 3 decimal places, we get:
P(X = 10) = 0.009
Therefore, the probability of observing 10 tornadoes in Ohio in a given year is approximately 0.009.
Write the linear equation in slope-intercept form from the given table.
The number of solutions of the system y = 3x + 5 is one because it is a linear equation.
What is linear equations?An equation in which is the highest power of to the variables 1 is knowns as the linear equation. Mathematically: it is an algebraic equations that can be also written in the form of ax + b = 0 or ax + by + c = 0, where a, b and c are definitely real numbers and x and y are variables with the highest power one.
Linear equations are equations in which the variables are raised to the power of 1, and the graph of the equation is a straight line. As a result, there is only one solution to the equation, which is when the line intersects the x-axis. This means that the equation has only one set of x- and y-coordinates, where x is the independent variable and y is the dependent variable, that satisfy the equation. The x-coordinate of the solution is the same as the value of x that makes the equation true and the y-coordinate is the value of y for this same x-value.
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Let the demand function for a product be given by the function
D
(
q
)
=
−
1.85
q
+
240
, where
q
is the quantity of items in demand and
D
(
q
)
is the price per item, in dollars, that can be charged when
q
units are sold. Suppose fixed costs of production for this item are
$
3
,
000
and variable costs are
$
4
per item produced. If
100
items are produced and sold, find the following:
A) The total revenue from selling
100
items (to the nearest penny).
Answer: $
B) The total costs to produce
100
items (to the nearest penny).
Answer: $
C) The total profits to produce
100
items (to the nearest penny. Profits may or may not be negative.).
Answer: $
The inverse demand function of the given demand function is p = 50 - q/2.
A graph that depicts the relationship between a product's price and demand is called a demand curve. On a demand graph, the horizontal axis represents the amount desired, while the vertical axis represents the product's price.
The price is a function of the quantity required when there is an inverse demand curve. The inverse of a demand curve indicates that variations in the amount required cause changes in price levels. The formula for calculating the demand curve for a product yields the graph of an inverse demand curve.
Given demand function: q = 100 - 2p.
To find the inverse demand function, we find the inverse of the equation, by isolating p, to get:
q = 100 - 2p,
or, 2p = 100 - q,
or, p = 100/2 - q/2,
or, p = 50 - q/2.
Thus, the inverse demand function of the given demand function is p = 50 - q/2.
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What is the very very easy method to divide
Answer:
The easiest way to divide two numbers is to use a calculator. All you need to do is enter the two numbers and press the division symbol (÷). Another method is to use long division, which involves breaking down the two numbers into individual digits and then systematically dividing them. This method is particularly useful when dividing large numbers.
Mario and his teammates are designing a logo for their tennis team. Which logo shows a flip?
Answer:
View Screenshot
Step-by-step explanation:
Please help me with this question.
Answer:
pooooooooooooooooooooooooooop hope this helps
Please help me with this one ?
=9/2
According to me when you simplify these numbers on the calculator it gave me 9/2.
Problem: (3/2) + (3/2) + (3/2) = unknown value, times (1/2)
Solution:
First, we can simplify the left side by adding the fractions:
(3/2) + (3/2) + (3/2) = 9/2
Next, we can divide both sides by (1/2) to solve for the unknown value:
(9/2) ÷ (1/2) = 9
Therefore, the answer is 9.
Ms. Garcia's science students are studying scale models. For her science project, Sarah has decided to make a scale model of the solar system.
Sarah conducted some research to help her with the diameters of the planets and Sun in her model and found the table you see above. Ms. Garcia
has instructed her students that a model of the solar system MUST include a Sun with a diameter of 1 meter. How does this requirement make the
scale model construction difficult to complete?
4x A There is no way Sarah can find anything to represent several of the planets.
x B Pluto will be too small to see in the model.
(xC The students cannot compute the diameters of the smaller planets.
x
D
Several planets will be very small and difficult to represent.
Answer:
D) Several planets will be very small and difficult to represent.
Write an equation for the word problem below
Sarah is renting a water filtration system from her water company. It has a startup fee of $36 plus $6 per month. If Sarah has a budget of $300, how many months can she rent the system?
Answer:
The Equation is (300-36)÷6.
Step-by-step explanation:
$300-$36=$264 (The budget after paying the set up fee)
$264/6=44 months. That's how many months she can rent.
So the equation would be (300-36)÷6.
(Sorry if this is wrong!)Which of the following results in the difference of two squares?
Answer:
Step-by-step explanation:
(3x + 7y)(3x - 7y) FOIL
9x² -49y² yes, this is difference of two squares
(2x - 7y)(2x - 7y) FOIL
4x² -14x -14x +49y²
4x² -28x + 49y² not difference of two squares
9x²(5x - 7) Distribute the 9x²
45x³ - 63x² not difference of two squares because one term is cubed
(6x - 4y)² Distribute the square term
36x² - 16y² yes, difference of two squares
A water company uses the function T = 35 + 0.003w to calculate each customer’s monthly water bill, T, where w is the number of gallons of water used. Which statement describes the slope of the function?
Customers are charged $35.00 each month.
Customers are charged $0.003 per gallon of water used.
Customers are charged 0.003 of a cent each month.
Customers are charged $35.003 per gallon of water use
IF YOU SPAM I WILL REPORT YOU IMMEDIATELY AND I PERSONALLY WILL BAN YOU IMIDEATLEY IF CORRECT I WILL GIVE THE BRAINLIEST. GOOD Luck.
Answer:
Customers are charged $0.003 per gallon of water used.
Step-by-step explanation:
In the given function, T = 35 + 0.003w, the coefficient of w (which is 0.003) represents the rate at which the total cost (T) increases per unit increase in the amount of water used (w). In other words, it is the cost per gallon of water used.
Therefore, the slope of the function is 0.003, and it represents the rate of change of the cost with respect to the amount of water used. Each additional gallon of water used will increase the monthly bill by $0.003.
Consider the parabola given by the equation:
f
(
x
)
=
4
x
2
+
8
x
−
1
Find the following for this parabola:
A) The vertex:
B) The vertical intercept is the point
C) Find the coordinates of the two
x
intercepts of the parabola and write them as a list, separated by commas:
It is OK to round your value(s) to to two decimal places.
The value following are
vertex: (6, -9)
y-intercept: (0, 27)
X = 3, 9
Finding Vertex (Part A)
Consider the formula -b/2a. This formula gives you the x-coordinate of the vertex.
[tex]y = 1x^2 - 12x + 27[/tex]
a = 1
b= -12
c =27
-b/2a = - (-12)/2(1) = 12/2 = 6 (x-coordinate of vertex)
When solving for the y-coordinate of the vertex you will need to substitute your 'x" back into the equation.
[tex]y = 1(6)^2 - 12(6) + 27[/tex]
y = 36 - 72 + 27 = -9 (y-coordinate of vertex)
--------------------------------------------------------------------------
Y- Intercept (Part B)
When looking for the y-intercept your "x" must always be 0.
Substitute 0 in every "x" in the equation.
y =[tex]1(0)^2 - 12(0) + 27[/tex]
y = 27
y-intercept: (0, 27)
-----------------------------------------------------------------------------
X- Intercepts (Part C)
To find the values of the "x" factor.
[tex]y = 1x^2[/tex] - 12x + 27
[tex]0 = 1x^2[/tex] - 12x + 27
0 = (x - 3 )(x - 9 )
(x-3) = 0 (x-9) = 0
x = 3 x = 9
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Consider the following.
t =
41
6
Terminal point is a term used in mathematics to describe the endpoint of a line segment. It is the point at which the line or curve terminates or comes to an end. It is important to note that a terminal point is not necessarily the same as a vertex or an intersection point; the terminal point is simply the endpoint of the line segment, the point at which it begins and ends.
For example, the terminal points of a line segment that connects the points (3, 5) and (7, 9) are (3, 5) and (7, 9). The line segment does not terminate at any other point.
The reference number is 41, and the given formula is t = 6π.
Therefore, 6π = 41
π = 41/6
π ≈ 6.83
The terminal point is determined by the given formula (r cos θ, r sin θ).
Since r = 1, substitute the values for θ and r into the formula:
(1, cos 6.83, 1, sin 6.83) = (3.5, 2.5)
Therefore, the terminal point determined by the given reference number t = 41 is (3.5, 2.5).
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grogg draws the following figure. it so happens that $\angle sap$ is $174^\circ$ less than 4 times $\angle sop$. find the degree measure of $\angle sap.$
The degree measure of [tex]$\angle sap$ is $726^\circ - 4 \times \angle sop$.[/tex]
What is angle?Angel is a geometric figure that can be described as the amount of rotation between two straight line or planes and angles is measured in degree with the full circle being 360°.
We can use the following formula to calculate the degree measure of $\angle sap$:
[tex]$\angle sap = 4 \times \angle sop - 174^\circ$[/tex]
Therefore, [tex]$\angle sap = 4 \times \angle sop - 174^\circ = 4 \times (180^\circ - \angle sop) - 174^\circ = 726^\circ - 4 \times \angle sop$[/tex]
Therefore, the degree measure of [tex]$\angle sap$ is $726^\circ - 4 \times \angle sop$.[/tex]
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Maleri Designs cartons of cloth face masks ($10) and cartons of hand-sanitizer (4) on eBayOne of their customersMod World purchased 24 cartons for 210How many of cartons of each Mod World purchaseCheck your answerHintLet FFace masks
The number of cartons of face masks and hand - sanitizers that Mod World bought were 19 cartons of cloth face masks and 5 cartons of hand sanitizer from Maleri Designs.
How to find the number of cartons ?Let's assume that Mod World purchased x cartons of cloth face masks and y cartons of hand sanitizer.
The simultaneous equations would be :
x + y = 24
10x + 4y = 210
Using substitution we get the value of x to be:
x = 24 - y
When put in the second equation this is:
10x + 4y = 210
10(24 - y) + 4y = 210
240 - 10y + 4y = 210
-6 y = -30
y = 5
x would then be:
x + y = 24
x + 5 = 24
x = 19
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