Your parents have decided to install new carpeting in your room, which is rectangular and measures 10 feet by 12 feet. They want to spend at most $200 on the carpeting. At the flooring store, carpeting is sold by the square foot. How much money will your parents spend per square foot for carpeting?

Answer: true

Step-by-step explanation:

Answer:

Juan = 93 years.

Gabe = 31 years.

Catherine = 25 years.

Step-by-step explanation:

Let the age of Juan = J

Let the age of Gabe = G

Let the age of Catherine = C

Translating the word problem into an algebraic equation, we have;

[tex] J = 3G[/tex] ..........equation 1

[tex] G = C + 6 [/tex] ........equation 2

[tex] J + G + C = 149 [/tex] ........equation 3

We would solve the linear equations by using the substitution method;

Substituting equation 2 into equation 1;

[tex] J = 3(C + 6)[/tex]

[tex] J = 3C + 18[/tex] ........equation 4

Substituting equation 2 and equation 4 into equation 3;

[tex] (3C + 18) + (C + 6) + C = 149 [/tex]

Simplifying the equation, we have;

[tex] 5C + 24 = 149[/tex]

[tex] 5C = 149 - 24[/tex]

[tex] 5C = 125[/tex]

[tex] C = \frac {125}{5}[/tex]

C = 25 years.

To find G; from equation 2

[tex] G = C + 6[/tex]

Substituting the value of "C" into equation 2, we have;

[tex] G = 25 + 6[/tex]

G = 31 years.

To find J; from equation 1

[tex] J = 3G [/tex]

Substituting the value of "G" into equation 1, we have;

[tex] J = 3 * 31[/tex]

J = 93 years.

Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old.

Answer:

11x + 0.90(4x) ≤ $85

Step-by-step explanation:

Let the number of pizzas be represented by p

Let the number of sodas be represented by s

Mr. Braun has $85.00 to spend on pizzas and soda pop for a picnic. Pizzas cost $11.00 each and the drinks cost $0.90 each.

$11 × p + $0.90 × s = $85

11x + 0.90y ≤ $85.......Equation 1

Four times as many drinks as pizzas are needed.

4p = s

We substitute 4p for s in Equation 1

11x + 0.90(4p) ≤ $85

What is the maximum number of pizzas that Mr. Braun can buy?

The maximum number of pizzas Mr Braun can buy =

11x + 0.90(4p) ≤ $85

The student's error has to do with the inequality sign. The student used greater than or equal to.

The correct sign is less than or equal to because Mr Braun has only $85 to spend.

Answer:

An equation of the line with the given information with

m = 4 and point A(-1, -5) is:

Step-by-step explanation:

As the equation of a line in point-slope form is given by:

[tex]y-y_1=m\left(y-x_1\right)[/tex]

where m is the slope.

Given:

Substituting the values in the equation of a line in point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y\:-\:\left(-5\right)\:=\:4\:\left(x\:-\:\left(-1\right)\right)[/tex]

[tex]y+5=4\left(x+1\right)[/tex]

subtract 5 from both the sides

[tex]y+5-5=4\left(x+1\right)-5[/tex]

[tex]y=4x-1[/tex]

Therefore, an equation of the line with the given information

with m = 4 and point A(-1, -5) is:

Answer:

The value of y is 12 nd that of x is 7

12  is the value of y in the solution to the following system of linear equations 2x+2=y and 2y=5x-1

The given system of linear equations 2x+2=y abd 2y=5x-1

2x-y=-2...(1)

-5x+2y=-1..(2)

Multiply equation (1) with 2.

4x-2y=-4

-5x+2y=-1

Add both the equations

-x=-5

x=5

Now plug in x value

2(5)+2=y

12=y

12 is the value of  y.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

Answer:

r,myp5\6t[

Step-by-step explanation:

Answer:

The answer would be A (3x+2).

Answer: 5(3x-2) - Choice [C]

Step-by-step explanation:

Hii, do you need to factor the expression 15x-10? Np! (:

Note that 15x and -10 have a 5 in common.

To factor it out, we divide 15x and -10 by 5

3x-2 is what we obtain

Next we put parentheses around 3x-2

(3x-2) is what we obtain.

Finally, we put 5 outside the parentheses

5(3x-2)

Voila! There's our answer, cheers! (:

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Hope that this helped! Best wishes.

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Answer:

a is the right answer you got this

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Answer:China made up $5.9 billion in U.S. farm product exports in 2018, according to the U.S. Census. It’s the world’s top buyer of soybeans and purchased roughly 60 percent of U.S. soybean exports last year.

Step-by-step explanation:

its b looooooooook  hgshk djcsgIUGUF

Answer:

Y = Mx + B

Step-by-step explanation:

I think it's ur answer.

Answer: 43 crayons

Step-by-step explanation:

Answer:

x=0.6, y=1.6

Step-by-step explanation:

Multiply the first equation by 2 and the second equation by 3, so we can cancel out the y terms:

4x+6y=12

21x-6y=3

Add these 2 equations together:

25x=15

x=0.6

Now, to solve for y, plug x back into any of the equations above:

2(0.6)+3y=6

1.2+3y=6

3y=4.8

y=1.6

Answer:

Below in bold.

Step-by-step explanation:

2x + 3y = 6             Multiply by 2:

7x – 2y = 1             Multiply by 3:

4x + 6y = 12

21x - 6y = 3              Adding:

25x = 15

x = 0.6.                      Substitute x = 0.6 into the first equation:

2*0.6 + 3y = 6

3y = 6 - 1.2 = 4.8

y = 1.6.

Answer:

[tex]x[/tex] must be number different to 1, 2 and 3 to guarantee that given relation is a function.

Step-by-step explanation:

From Function Theory, we know that a function is a relation in which all domain elements are not related to at least two different elements from range. Which means that [tex]x \in \mathbb{R}-\{1,2,3\}[/tex], that is, that [tex]x[/tex] is a real number different to 1, 2 and 3.

Hence, we conclude that [tex]x[/tex] must be number different to 1, 2 and 3 to guarantee that given relation is a function.

Answer:

I would give you a straight answer if I could see the angles, but all I can say with this is that supplementary angles are angles that add up to 180 degrees.

Hope that helps!

Answer:

A. Angle 1 and Angle 7

Step-by-step explanation:

Angle 1 and Angle 7 are not equal but add up to 180° So your answer is A

Answer:

16in or 1ft 4in

Step-by-step explanation:

Answer:

C. [tex] d = \frac{at^2}{2} [/tex]

Step-by-step explanation:

Given:

[tex] t = \sqrt{\frac{2d}{a}} [/tex]

Required:

Make d the subject of the formula.

SOLUTION:

[tex] t = \sqrt{\frac{2d}{a}} [/tex]

Square both sides

[tex] t^2 = (\sqrt{\frac{2d}{a}})^2 [/tex]

[tex] t^2 = \frac{2d}{a} [/tex]

Multiply both sides by a

[tex] a*t^2 = \frac{2d}{a}*a [/tex]

[tex] at^2 = 2d [/tex]

Divide both sides by 2

[tex] \frac{at^2}{2} = \frac{2d}{2} [/tex]

[tex] \frac{at^2}{2} = d [/tex]

[tex] d = \frac{at^2}{2} [/tex]

Answer:

1

Step-by-step explanation:

Answer:

y=x+2

Step-by-step explanation:

:)

Answer: Coordinate plane, x, negative 2 to 2 by 1, y, negative 10

Step-by-step explanation: don't know just trying to help

Answer:

It's: A

Step-by-step explanation:

Answer:

Numbers =(6,-2 )

Step-by step explanation:

Given

the sum of two numbers is four and the sum of their squares minus three times their product is 76,

Let the first term =X

Second term will be=4-x

So

X^2+(4-x)^2-3x(4-x)=76

x^2+16+x^2-8x-12x+3x^2=76

5x^2-20x+16=76

5x^2-20x-60=0

5(x^2-4x-12)=0

So x^2-4x-12=0

x^2-(6-2)x-12=0

x^2-6x+2x-12=0

X(x-6)+2(x-6)=0

(X-6)(X+2)=0

X=6,-2

Let X=6 and -2 then numbers will be 6 and (4-6)=-2

Answer:

The LCM of 18, and 32 is

Answer: The LCM is 288.

Step-by-step explanation:

To find the least common multiple of 18 and 32, you will find the multiples of 18 and 32 and look for least multiple number that matches 18 and 32.

Multiples of 18 are:    18,36,54,72,90,108,126,144,162,180,198,216,234,252,270,288

Multiples of 32 are:  32, 64,96,128, 160,192,224, 256, 288

The last digit 288 is the least multiple number that appears in both multiples for the two numbers.

Answer:

A. (6*3/2)1/5

Step-by-step explanation:

A-P-E-X

3.6.2 CST