The amounts needed to make 6 servings are given as follows:
Sauce: 12 servings.Oregano: 3/4 teaspoons.How to obtain the amounts?The needed amounts to make 6 servings of the recipe are obtained applying the proportions in the context of the problem.
From the first line of the table, we get the amounts of sauce and oregano per serving are follows:
Sauce: 8/4 = 2 cups.Oregano: 0.5/4 = 1/8 teaspoons per serving.Hence the amounts for six servings are given as follows:
Sauce: 6 x 2 = 12 servings.Oregano: 6 x 1/8 = 6/8 = 3/4 teaspoons.More can be learned about proportions at https://brainly.com/question/24372153
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Find the values of a and b such that
x²-x+ 5 = (x-a)² + b
Please, the person that explains it explain it with the part of
(x+b/2)^2 - (b/2)^2 + c
-because if not I won’t understand :)
x2−1x5=(x−a)2+b2−15=(−)2+
The coordinates of the three vertices of a square are (4,14) (10,14) and (4,8). What are the coordinates of the missing vertex
Given that the coordinates of the three vertices of a square are (4, 14), (10, 14), and (4,8).
The missing coordinate will be at (10,8) on the coordinate plane for the given square.
VERTEX: WHAT IS IT?A vertex is a location in geometry where two or more line segments converge. Vertices are the corners of two-dimensional forms such as squares and triangles. Vertices are the places where three or more faces of a three-dimensional shape, such as a cube or a pyramid, meet.
Four of a square's vertices have the coordinates (4,14), (10,14), and (4,8).
The length of one of the square's sides may be determined using the distance formula, and the length can then be used to determine the coordinates of the missing vertex.
We know that one side of the square has a length of 6 units since the distance between (4,14) and (10,14) is 6 units.
We know that the missing vertex must be 6 units away from (4,8) in the y-direction since the square is symmetric.
The missing vertex therefore has the coordinates (10,8).
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The missing coordinate will be at (10,8) on the coordinate plane for the given square.
VERTEX: WHAT IS IT?A vertex is a location in geometry where two or more line segments converge. Vertices are the corners of two-dimensional forms such as squares and triangles. Vertices are the places where three or more faces of a three-dimensional shape, such as a cube or a pyramid, meet.
Four of a square's vertices have the coordinates (4,14), (10,14), and (4,8).
The length of one of the square's sides may be determined using the distance formula, and the length can then be used to determine the coordinates of the missing vertex.
We know that one side of the square has a length of 6 units since the distance between (4,14) and (10,14) is 6 units.
We know that the missing vertex must be 6 units away from (4,8) in the y-direction since the square is symmetric.
The missing vertex therefore has the coordinates (10,8).
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or
Last night, Clara and her brother, Stefan, made personal pizzas for dinner. Clara put 4 pepperoni pieces and 6 ham pieces on her pizza. Stefan put 6 pepperoni pieces and 10 ham pieces on his pizza. Did Clara's and Stefan's pizzas have the same ratio of pepperoni pieces to ham pieces?
Clara's and Stefan's pizzas did not have the same ratio of pepperoni pieces to ham pieces.
How to calculate the ratios of two different pizza?For Clara,
The number of pepperoni pieces = 4
The number of ham pieces = 6
The ratio = 4:6 = 2:3
For Stefan,
The number of pepperoni piece = 6
The number of ham piece = 10
The ratio = 6:10 = 3:5
Therefore the ratio of Clara's and Stefan's pizzas is not the same.
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The segmented bar graph shows the relative frequencies regarding your arrival time to school using three different routes. How many times more likely are you to be on time than be late to school if you take Route C?
Therefore, you are three times more likely to be on time than be late if you take Route C to school.
What is relative frequency?Relative frequency is a statistical term that refers to the proportion or percentage of times an event or a particular value occurs within a larger set of data. It is calculated by dividing the number of times the event or value occurs by the total number of observations in the data set.
Here,
To determine how many times more likely you are to be on time than late if you take Route C, we need to compare the heights of the green and red bars for Route C. From the graph, we can see that the green bar (representing on-time arrivals) is approximately three times taller than the red bar (representing late arrivals) for Route C.
To calculate how many times more likely you are to be on time than late if you take Route C, we need to find the ratio of the heights of the green and red bars:
Ratio = height of green bar / height of red bar
Looking at the segmented bar graph, we can see that the height of the green bar for Route C is approximately 0.45, and the height of the red bar is approximately 0.15.
Ratio = 0.45 / 0.15
= 3
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Match the appropriate list with the definition
a. reflexive, symmetric, and transitive only
b. congruence and midpoint.
A segment proof is a type of proof that shows the steps used to establish the congruence or equality of two line segments. The goal of a segment proof is to provide a clear and logical argument that demonstrates why the two segments are equal or congruent.
Segment proofs typically involve using a combination of definitions, postulates, and theorems to justify each step of the argument. For example, to prove that two line segments are congruent, one might use the segment addition postulate, the definition of congruence, and the reflexive, symmetric, and transitive properties of congruence.
The appropriate matching is:
1. Segment proofs include the following definitions as justifications/reasons: ⇔ reflexive, symmetric, and transitive only
2. Segment proofs include the following as congruence of segments: ⇔ congruence and midpoint.
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At a customer service call center for a large company, the number of calls received per
hour is normally distributed with a mean of 90 calls and a standard deviation of 20
calls. What is the probability that during a given hour of the day there will be between
91 calls and 134 calls, to the nearest thousandth?
Step-by-step explanation:
The number of non square numbers between 12square and 13square are
Write 2:7 in the form 1: n
Answer:
7 ÷ 2 = 3.5, so 2:7 = 1:3.5 (1 to 3.5).
Answer:
1 : 3.5
Step-by-step explanation:
2: 7 written in the ratio 1 : n...
2:7
1:n
To get to 1 from 2 you have to divide by 2.
So do the same for 7.
Therefore the answer is 1: 3.5
The bowling average of the players in the Capital Three bowling tournament is 158 with variance of 121. If Dr. Baker bowls an average of 169 during the tournament. Compute the appropriate statistic.
What proportion of bowlers performed better than Dr. Baker?
Approximately 15.87% of the bowlers in the Capital Three bowling tournament performed better than Dr. Baker.
How to find the proportionStandard deviation (σ) = √(variance) = √(121) = 11
Now, we can calculate the z-score for Dr. Baker's average of 169 using the formula:
z = (X - μ) / σ
z = (169 - 158) / 11
z = 11 / 11
z = 1
Dr. Baker's z-score is 1, meaning his performance is one standard deviation above the mean.
The area to the left (or the cumulative probability) is approximately 0.8413
1 - 0.8413 = 0.1587
Approximately 15.87% of the bowlers in the Capital Three bowling tournament performed better than Dr. Baker.
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7(-6)+7(-1/8) answer
Answer:
[tex]\displaystyle -42 \;\frac{7}{8}[/tex]
Step-by-step explanation:
We will simplify this expression.
Given:
7(-6)+7(-1/8)
Multiply:
[tex]\displaystyle -42- \frac{7}{8}[/tex]
Subtract:
[tex]\displaystyle -42 \;\frac{7}{8}[/tex]
Solve the following equation for θ on the interval [0,2π).
2sec(θ)+3=0
Round your answers to the nearest thousandth of a radian.
there should be 2 answers
We can start by isolating the secant term and then taking the inverse cosine of both sides. Remember that the inverse cosine function only gives results on the interval [0,π], so we will need to adjust our solutions accordingly:
2sec(θ) + 3 = 0
2sec(θ) = -3
sec(θ) = -3/2
cos(θ) = -2/3
θ = ±cos⁻¹(-2/3)
Using a calculator, we find:
θ ≈ 2.302, 4.981 radians
What is the value of 0 in the equation?However, we need to adjust these solutions to be within the interval [0,2π). Since cos(x) = cos(2π - x), we can add 2π to the negative solution to get an equivalent positive solution:
θ ≈ 2.302, 7.438 radians
Rounding to the nearest thousandth, we get:
θ ≈ 2.302, 7.438 radians
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The solid below is dilated by a scale factor of . Find the surface area of the solid
created upon dilation.
The surface area of the solid created upon dilation is equal to 36 units².
How to calculate surface area of a cylinder?In Mathematics and Geometry, the surface area (SA) of a cylinder can be calculated by using this mathematical equation (formula):
SA = 2πrh + 2πr²
Where:
h represents the height.r represents the radius.By substituting the given parameters into the formula for the surface area (SA) of a cylinder, we have the following;
Surface area = 2πrh + 2πr²
Surface area = 2(π)(9)(9) + 2(π)(9²)
Surface area = 324π units²
After applying a dilation with a scale factor of 1/3, the surface area of the cylinder is given by;
Surface area = 324π × (1/3)²
Surface area = 324π × 1/9
Surface area = 36 units²
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The 8th grade math team is having a bake sale as a fundraiser. Alan can make 5 cookies in 2 minutes. Abigail can make 8 cookies in 3 minutes. However, Katie eats 1 cookie every 6 minutes. How many minutes will it take to make 5 dozen cookies.
Answer: B. 12
Step-by-step explanation:
1) Alan can make 2.5 cookies per min
2) Abi can make 8/3 which is 2.7.
3) overall, 5.2 cookies per minute can be made.
multiple 5.2 x 6 and you get around 31.5?
then subtract =1. you have 30.5, now add onto that number 31.5, which is another 6 minutes. since you're still only subtracting 1, the answer would be above 60, which is 5 dozen, and it only took 12 mins
Match the equation or expression to the number of terms, the coefficients and the constants.
Equation: [tex]6xt^4yz^3 + 10a = 1[/tex]. Number of terms: 2, Coefficients: 6, 10 and Constants: 1.
Equation: [tex]25abc^2ab + 3ac6bc + 25[/tex], Number of terms: 3. Coefficients: 25, 3, 6. Constants: 25
What is equation and an expression?
A random combination of integers, variables, functions, etc. can be described as an expression. An expression is, for instance, 3x - 2. An equation, on the other hand, is created when two independent expressions are joined by the equal to sign. An equation, for instance, is when 3x - 2 = 5 + x.
Equation/Expression: 6xt⁴yz³ + 10a = 1
Number of terms: 2
Coefficients: 6, 10
Constants: 1
Equation/Expression: 25abc²ab + 3ac6bc + 25
Number of terms: 3
Coefficients: 25, 3, 6
Constants: 25
Equation/Expression: 25y³xy + 5 = 100
Number of terms: 2
Coefficients: 25, 1
Constants: 5, 100
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Mrs. lang has x amount of students in each class. Ms. easter has 4 less students in each class. If both teachers have 5 classes, write an expression that
shows how many students are in all of Ms. easter’s classes.
If Mrs. Lang has x students in each of her 5 classes, then she has a total of 5x students.
Ms. Easter has 4 less students in each of her classes, so she has x - 4 students in each of her 5 classes.
How many students are in all of Ms. Easter's classes?To find out how many students are in all of Ms. Easter's classes, we can use the expression:
5(x - 4)
This simplifies to:
5x - 20
Therefore, there are 5x - 20 students in all of Ms. Easter's classes.
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What is the area of this quadrilateral?
4 cm
4 cm
3 cm
A. 20 square centimeters
B. 28 square centimeters
C. 22 square centimeters
D. 14 square centimeters
Answer:
28
Step-by-step explanation:
you first do the 4x4=16 then 4x3=12 then do 16+12=28
Use the following chart of years and price for an unstated item to answer the following questions.
1970 1975 1980 1985 1990 1995 2000
$87.32 $119.99 $206.79 $264.16 $283.16 $351.94 $349.69
What was the relative change from 1995 to 2000? (Enter your answer as a percentage rounded to the nearest hundredths.)
The relative change from 1995 to 2000 is -63.92%, indicating a decrease in price of approximately 63.92%.
How to calculate the relative change?To calculate the relative change from 1995 to 2000, we need to find the difference between the prices in those two years, and then express that difference as a percentage of the price in 1995.
Price in 1995 = $351.94
Price in 2000 = $349.69
Difference = Price in 2000 - Price in 1995
Difference = $349.69 - $351.94
Difference = -$2.25
The negative sign indicates a decrease in price from 1995 to 2000.
Now, we can calculate the relative change as a percentage:
Relative change = (Difference / Price in 1995) * 100
Relative change = (-$2.25 / $351.94) * 100
Relative change = -0.6392 * 100
Relative change = -63.92%
Therefore, the relative change from 1995 to 2000 is -63.92%, indicating a decrease in price of approximately 63.92%.
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If the width of a rectangle with perimeter P is 6 units, what is its length?
If the width of a rectangle with perimeter P is 6 units, its length would be equal to L = P/2 - 6.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(L + 6)
P = 2L + 12
P - 12 = 2L
L = (P - 12)/2
L = P/2 - 6.
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A laptop has a listed price of 639.99 before tax. If the sales tax rate is 9.75%, find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, if necessary.
Answer: $702.39
Step-by-step explanation: To find the total cost of the laptop with sales tax included, we need to add the sales tax to the listed price.
First, we need to calculate the amount of sales tax.
Sales tax = 9.75% of 639.99
Sales tax = 0.0975 x 639.99
Sales tax = 62.40
Now we can find the total cost of the laptop with sales tax included:
Total cost = listed price + sales tax
Total cost = 639.99 + 62.40
Total cost = 702.39
Therefore, the total cost of the laptop with sales tax included is $702.39.
Calculate the length of HG. *
10
9
8
6
5
4
3
N
M
H
3
I
5
square root 15
square root 50
square root 8
square root 51
G
9 10
Using the Pythagorean theorem, we can find the length of HG:
HG² = HI² + IG²
Therefore, the length of HG is 5sqrt(3) units.
What is pythagorean theorem?The Pythagorean Theorem is a mathematical formula that states in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
What is Length?Length is a measurement of the extent of something along its longest dimension, from one end to the other. It is often expressed in units such as meters, feet, or inches.
According to the given information:
To calculate the length of HG, we can use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of its two legs.
First, we can identify that triangle HGN is a right triangle, with HG being the hypotenuse. Using the Pythagorean theorem, we have:
(HG)² = (NG)² + (NH)²
We can also identify that triangle INH is also a right triangle, with IN being the hypotenuse. Using the Pythagorean theorem, we have:
(IN)² = (NH)² + (NI)²
Substituting (NH)^2 from the second equation into the first equation, we get:
(HG)² = (NG)² + (IN)² - (NI)²
Plugging in the values given in the diagram, we get:
(HG)² = 5² + 9² - 3²
(HG)² = 61
HG = √61
Therefore, the length of HG is the square root of 61.
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Find the area
Round to nearest tenth
Kevin answered 62 questions correctly on his multiple choice history final and earned a grade of 31%. How many total questions were on the final exam?
Answer:
200
Step-by-step explanation:
Turn the 31% back to a decimal = 0.31
62/ x = 0.31
multiply each side of the equation by x to cancel it out from under the fraction
62 = 0.31x
divide each side by 0.31 to have to x alone
200 = x
Check work:
62/200 = 0.31 x 100 = 31%
which diagram represents the expression |-5|
I need help with this please
The line plot representing the values on the number line can be presented as follows;
[tex]{}[/tex] ×
[tex]{}[/tex] × ×
[tex]{}[/tex] × × × ×
<-|------|------|------|------|------|------|------|------|->
[tex]{}[/tex]0 1/8 1/4 1/2 5/8 3/4 1
What is line plot?A line plot is a graph displaying data as points above a number, which indicates the frequency of the data.
The values in the fraction can be expressed as follows;
5/8, 5/8, 1/4, 1/8, 1/8, 3/4, 1/8
The values that are repeated can be excluded to get;
Values to be represented are; 5/8, 1/4, 1/8, 3/4
The above fractions can be expressed as fractions with a denominator of 8 as follows;
5/8, 1/4, 1/8, 3/4 = 5/8, 2/8, 1/8, 6/8
The fractions can be arranged in increasing order as follows;
5/8, 2/8, 1/8, 6/8; 1/8, 2/8, 5/8, 6/8
The fractions 1/8, 2/8, 5/8, 6/8, can therefore, be entered into the number line as follows;
<-|------|------|------|------|------|------|------|------|->
0[tex]{}[/tex] 1/8 2/8 1/2 5/8 6/8 1
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what is 5.25 in fraction form?
Answer:
To convert 5.25 to a fraction, we can first note that the decimal represents the number 5 units and 25 hundredths. We can write this as:
5.25 = 5 + 0.25
Next, we can convert the decimal 0.25 to a fraction by recognizing that it is equivalent to 25/100 or 1/4. Therefore:
5.25 = 5 + 1/4
We can then combine the whole number 5 with the fraction 1/4 by finding a common denominator:
5 + 1/4 = 20/4 + 1/4 = 21/4
Therefore, 5.25 as a fraction in simplest form is 21/4.
Answer:
i believe it should be
5 1/4
i apologize if wrong, it depends on the ratio (you didnt include it)
2 TO THE POWER OF 17 WHAT DA ANSWER
Answer:
131072
Step-by-step explanation:
Answer: The answer is 131072.
Step-by-step explanation:
Using a calculator, we find that [tex]2^{17}=\boxed{131072}.[/tex]
15 POINTS!!!! PLEASE, I'M BEGGING. 15 POINTS!!!!
Which investment choice has the potential for the greatest rate of return?
Corporate bonds
Government bonds
Common stocks
Preferred stocks
Answer:
mark me as brainliest
Step-by-step explanation:
common stocks
4(x-1)-2x<6-5(x+2) so love and graph the inequality
The vertical line at x=0 represents the boundary of the inequality, and the shaded region to the left of the line represents the solution set of the inequality, x < 0.
Explain the term inequality
Inequality refers to the unequal distribution of resources, opportunities, and rewards among individuals or groups within a society. It can be based on factors such as race, gender, income, education, and social status, leading to disparities in outcomes and experiences.
According to the given information
Start by simplifying the inequality using the distributive property and combining like terms:
4(x-1) - 2x < 6 - 5(x+2)
4x - 4 - 2x < 6 - 5x - 10
2x - 4 < -5x - 4
2x + 5x < 4 - 4
7x < 0
x < 0
So the solution to the inequality is x < 0.
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how to find the area for a rectangle?
Answer:
Area of a rectangle = Length x Width
Step-by-step explanation:
Length = 25 cm
Width = 8 cm
25 x 8 = 200
So the area of a rectangle = 60 cm^2
The Wills Tower (formerly known as the Sears Tower) in Chicago is about 454 feet tall A model of it has a scale of 2 in 45 feet. How tall is the model?
The model is 64.62 inches tall. The solution has been obtained by using the arithmetic operations.
What are arithmetic operations?
Any real number may be explained using the four basic operations, also referred to as "arithmetic operations." In mathematics, operations like division, multiplication, addition, and subtraction come first, followed by operations like quotient, product, sum, and difference.
We are given that height of tower is 1454 feet and the scale is given as follows:
2 inches = 45 feet
Now, using the division operation, we get
⇒ Height of the model = 1,454 ÷ 45
⇒ Height of the model = 32.31
Now, using the multiplication operation, we get
⇒ Height of the model = 32.31 * 2
⇒ Height of the model = 64.62 inches
Hence, the model is 64.62 inches tall.
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The correct question has been attached below.
Question # 6 Multiple Choice Which of the following minerals is made of more than one element? Responses copper silver gold hornblende
Out of the following minerals hornblende is made up of more than one element. Therefore, option D is the correct answer.
What are minerals?Solid, naturally occurring materials known as minerals have a particular chemical makeup and crystal structure. They can be discovered in rocks, soil, and water and are primarily created by geological processes. Minerals are crucial for our bodies' nutritional needs as well as for the construction of structures and the manufacture of electronics, among other facets of our daily life.
Hornblende is a mineral made up of multiple elements, including calcium, magnesium, iron, aluminum, silicon, and sometimes sodium and potassium. The other minerals listed, copper, silver, and gold, are each made up of a single element.
Therefore, the correct option is d. Hornblende
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