The solution of the inequalities is (0.375, 4.25)
How to graph the inequalities?The system of inequalities is given as:
3y > 2x + 12
2x + y ≤ 5
Next, we plot the inequalities on a graph (see attachment)
From the graph, both inequalities intersect at
(x, y) = (0.375, 4.25)
This represents the solution of the inequalities
Read more about inequalities at:
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5. A length of rope is 20m long. If I cut it into 10 equal length pieces, how long is
each piece? *
what is given
Answer:
each piece is = 3 m long
Step-by-step explanation:
20 /10= 2
What is the value of the expression below?
13 - (-9)
(5,1) (3,2) Write the equation in point-slope form
Answer: y-1=-1/2(x-5)
Step-by-step explanation:
[tex]\frac{2-1}{3-5}[/tex]
-1/2 slope
y-[tex]y_{1}[/tex]=m([tex]x-x_{1}[/tex])
y-1=-1/2(x-5)
y-1=-1/2x +5/2
y=-1/2x+7/2
Find the length of BC.
Step-by-step explanation:
sin 60 = perpendicular / hypotenuse
sin 60 = BC / AB
sin 60 =. BC / 10
√3 / 2 = BC/ 10
BC = 5√3
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
Trains Two trains, Train A and Train B, weigh a total of 192 tons. Train A is heavier than Train B. The
difference of their weights is 120 tons. What is the weight of each train?
Hi there!
So we know that the two train together is a total of 192 tons and the difference of their weights is 120 tons...
Ok let think...
When we’re looking at the once place, you’ll see a two... this means that the two train both have a ending of 1 since 2 is split into 1...
That would be another clue..
Now let think again...
If it would be 151 and we subtract by 120.. we would get...
[tex]151-120=31[/tex]
Well it ends with a 1 so it would be perfect but we have to see if 151 and 31 together adds up with the total of 192..
[tex]151+31=192[/tex]
This means that train A could be 151 tons or 31 tons and train B can also be wither 151 tons or 31 tons...
Divide 110 between two friends so that one gets 16 more than the other. solve the equation
Answer:
47 and 63
Step-by-step explanation:
Let x be the number one friend gets.
This means the second friend will get x + 16
x + x + 16 = 110
2x + 16 = 110
2x = 94
x = 47
One friend gets 47, and the other gets 63
The rectangle is rotated 180º counterclockwise about the origin. Which of the following ordered pairs is a vertex of the rectangle’s image?
A.
(-5, 1)
B.
(-4, -1)
C.
(4, -5)
D.
(4, 4)
The ordered pair is a vertex of the rectangle’s image will be (-4, -1). Then the correct option is B.
What is a transformation of a shape?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.
From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.
Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.
The rectangle is in the first quadrant then the coordinate of the vertices of a rectangle will be positive (x, y).
The rectangle is rotated 180º counterclockwise about the origin.
The rectangle will be in the third quadrant then the coordinate of the vertices of the rectangle will be negative (-x, -y).
Thus, the ordered pair is a vertex of the rectangle’s image will be (-4, -1). Then the correct option is B.
More about the transformation of the shape link is given below.
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THURSDAY Draw this model on a piece of 1 peper. Hank cut his pizza into 10 pieces and ate 6 of the pieces. Rose cut her pizza into 5 pieces and ate the same amount as Hank Show this on the drawing
Answer:
Rose: 6/5 or 1.2
Hank: 6/10 ÷ 6 = 0.1
Step-by-step explanation:
89% out of 100 that this is correct
Please help I am giving brainliest!
Answer:
6.3 in.^2
Step-by-step explanation:
The diameter of the circle is 4 in., so the radius of the circle is 2 in.
[tex] A_{sector} = \dfrac{n}{360^\circ} \pi r^2 [/tex]
The two central angles have a total measure of 60 deg + 110 deg = 170 deg.
The central angle of the shaded sector is 360 deg - 170 deg = 190 deg.
We will use n = 190 deg in the area formula.
[tex] A_{sector} = \dfrac{190^\circ}{360^\circ} \pi (2~in.)^2 [/tex]
[tex] A_{sector} = 6.3~in.^2 [/tex]
Substitutions can have different
values
A. True
B. False
1Answer:
Step-by-step explanation:
Which equation represents the line through the points (3,2) and (-9,6) ?
x + 3y = 9
3x - y = -9
O x - 3y =9
3x + y =9
Answer:
Step-by-step explanation:
(3,2),(-9,6)
slope = (6 - 2) / (-9 - 3) = -4/12 = -1/3
y = mx + b
slope(m) = -1/3
use either of ur points...(3,2)....x = 3 and y = 2
now we sub into the formula and find b, the y int
2 = -1/3(3) + b
2 = -1 + b
2 + 1 = b
3 = b
so ur equation is : y = -1/3x + 3 <==
Question
What is the height of a triangle with an area of 893 square inches and a base of 38 inches?
Answer:
the height of the triangle is 47 inches
40 cm
42 cm
What is the length of the hypotenuse?
Answer:
by Pythagoras theorm
H² = B² + P²
H². = 40² + 42²
= 1600 + 1764
= 3364
= 58²
H = 58
hope it helps
is the ordered pair (1, -3) a solution to
3x + 5y = -8?
Answer:
Yes give Brainliest
Step-by-step explanation:
To find y place the other terms in the equation to the right
hand side of the equation.
Thus : 5y = 7 - 3x
( now divide both sides by 5 )
⇒ 5y5=7−3x5=15(7−3x)
now will you give brainliest?
please HELP ITS A GRADE AND TIMED I WILL MARK BRAINLIEST
Answer:
Domain: All Real Numbers
Range: y<0
Step-by-step explanation:
Looking at the graph, you can tell that the variable y has a lower point.
( I'm not sure how accurate this is I'm doing the same test right now. ;-;)
I have to turn this in at 5:00
Answer:
1/8
Step-by-step explanation:
Multiply the chance of getting heads (1/2 or .5) by the chance it takes to get green (1/4 or .25)
.5*.25=.125 or 1/8
Find the length of JL.
4.5 units is the value of the length of JL
Select the correct answer. What is the solution to the equation? 3(x + 9)^3/4 = 24
Answer:
C~7
Step-by-step explanation:
The value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The equation is:
[tex]\rm 3(x + 9)^{3/4} = 24[/tex]
After solving:
[tex]\rm (x + 9)^{3/4} = 8[/tex]
(x + 9)³ = 4096
x + 9 = ∛4096
x + 9 = 16
x = 7
Thus, the value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.
Learn more about the integer exponent here:
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When finding the volume of a rectangle shaped 3D box, what formula do you use?
Answer:
length x width x height
l x w x h
AAAHHHHH!!!!!!! SOMEONE HELP!!!!
Answer:
43.10
Step-by-step explanation:
Je parle une ciart mwoa
Enter
31/100 as a money amount and as a decimal in terms of dollars.
Answer:
It would be .31 cents, I believe
Step-by-step explanation:
Just divide 31 by 100 and you'll get your answer.
:)
James was putting the table cloth back on the table after dinner. The table is 25 inches long and 10 inches wide. If the table cloth hangs 5 inches off each side, what is the area of the table cloth?
Answer:
3000
Step-by-step explanation:
Answer: 700 square inches
===============================================================
Explanation:
The dimension 25 bumps up to 25+5+5 = 35 since we add two copies of 5 onto it. This is done to account for the portions that hang off the edge.
Similarly, the 10 inch dimension bumps up to 10+5+5 = 20 inches.
The table cloth is 35 inches by 20 inches to give an area of 35*20 = 700 square inches.
Side note: 700 square inches is approximately equal to 4.861 square feet (divide by 144 to convert from square inches to square feet).
A red t-shirt costs $9.50. A black t-shirt costs 4 times as much as the red t-shirt. How much does the black t-shirt?
A. $36.50
B. $28.25
C. $36
D. $38
Answer: D or $38
Step-by-step explanation:
Answer: The answer is D) $38.
Step-by-step explanation:
When you multiply $9.50 by 4 you get $38.
f(x) = 3sinxº
Find f(22)
Give your answer correct to 3 significant figures.
Answer:
f(22) = 1.12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 3sinx°
f(22) is x = 22
Step 2: Evaluate
Substitute in x: f(22) = 3sin22°Trig: f(22) = 3(0.374607)Multiply: f(22) = 1.12382Round: f(22) = 1.12Which of the following equations are equivalent? Select three options.
2 + x = 5
x + 1 = 4
9 + x = 6
x + (negative 4) = 7
Negative 5 + x = negative 2
69
Step-by-step explanation:
2+ x = 5
x + 1 = 4
9 + x = 6
x + (negative 4) = 7
Negative 5 + x = negative 2
24 divided by 4 times d
Answer:
i think 6 not sure tho sorry if its worng
if
sin150°=1/2 fiind sin75°
Answer:
thank u for free points
Step-by-step explanation:
......
Find the number that belongs
in the green box.
Round your answer to the nearest tenth.
Answer:
24.2
Step-by-step explanation:
There is but one answer to this. It appears below.
Let's try it out and see what happens. We'll do it the way it sits.
Sin 40/8 = sin(x) / 7 Multiply both sides by 7
7* Sin(40) / 8 = sin(x)
Sin(40) = 0.6428
7 * 0.6428 / 8 = sin(x)
.56245 = sin(x)
x = sin-1(0.56245)
x = 34.23
Rounded to the nearest tenth, it is 24.2
Answer: 34.2
Step-by-step explanation:
Hope this helps!
their how much will they pay ifame lasts for 4 hours 6 hours or 8 hours
Answer:
There are two equivalent formulas to choose from when solving work-rate problems. If two people are working together on a job then their work rates add and they can perform the job working together in a shorter amount of time. If we let x = the time it takes a person to complete a task then his work rate is 1/x. In other words, he can complete the 1 job in x number of hours. If we let y = the time it takes a second person to complete the task and t = the time it takes for both people working together we get the following work-rate formulas:
Given m∥n, find the value of x.
Answer:
53°
Step-by-step explanation:
Of the two lines are parallel then x = 53°