Which of these angles are complementary?

Suppose you have a five dollar off coupon at a fabric store you buy a fabric that cost $10 per yard

Lunna [17]

<h3>Answer:</h3>

1.) 10x-5=y

2.) $85

3.) 5.25 yards of fabric.

<h3>Step-by-step explanation:</h3>

1.) To write an equation for this problem, we need to figure out what every value means:

the variable x, represents the amount of yards of fabric you can buy

the variable y, represents the total amount of money after you found out (x) or the amount of yards of fabric.

1 yard of fabric equals $10, and we have a $5 coupon (-5)

Our equation is:

10x-5=y

This equation represents the relationship between the total cost of fabric, and the amount that you can buy.

2. In order to solve this problem we need to use our equation, one value is given which is 9.

9 represents x, the amount of yards of fabric.

Substitute 9 into x:

10(9)-5=y

<h3>Solve:</h3>

90-5=y

85=y

85 represents the cost of 9 yards of fabric, including the $5 coupon.

3.) This problem is similar to #2, although it's flipped.

The value given is $47.50, which represents (y), the total amount of money after (x) was found out.

But, we need to figure out (x).

Substitute $47.50 into (y):

10(x)-5=$47.50

Next, we need to figure out x by solving the opposite.

Adding the coupon to our answer can represent 10(x).

$47.50+5=52.50

10(x)=52.50

Lastly, divide both sides of the equation by 10.

10(x) / 10=52.50 /10

x=5.25

5.25 represents the amount of yards of fabric purchased if you paid $47.50.

7 0

2 years ago

Ms. Velez will use both x gray bricks and y red bricks to build a wall around her garden. Gray bricks cost $0.45 each and red br

Alekssandra [29.7K]

It is given in the question that

Ms. Velez will use both x gray bricks and y red bricks to build a wall around her garden. Gray bricks cost $0.45 each and red bricks cost $0.58 each. She can spend up to $200 on her project, and wants the number of red bricks to be less than half the number of gray bricks.

Maximum she can spend is $200. That is

$0.45x + 0.58y \leq 200
\\ y< \frac{1}{2} x$

And

$x\geq 0 , y \geq 0$

And that's the required inequalities .

7 0

3 years ago

Human beings have discovered an inhabitable planet and soon after, they find 10 more inhabitable planets. Of these 11, only 5 ar

Tatiana [17]

5 of the planets are earth like and 2 are mars like

5 * 2 = 10

Total 12

4 earth like and 4 mars like

Earth = 4*2 = 8

Total 12

3 Like Earth 6 like mars

Earth 3 * 2 = 6

Total 12

Those answers are the only ones possible.

3 0

4 years ago

Someone please help me 4(d + 6) =

zaharov [31]

Answer:

4d+24

Step-by-step explanation:

The distributive property says that 4(d+6)=4d+(4)(6)

which simplifies to 4d+24

(I hope that's what you needed, please lmk if you needed more than just simplifying.)

5 0

3 years ago

37= -3+5(x + 6) slove for x

lions [1.4K]

Step 1: Simplify both sides of the equation.
37
=
−
3
+
5
(
x
+
6
)
37
=
−
3
+
(
5
)
(
x
)
+
(
5
)
(
6
)
(Distribute)
37
=
−
3
+
5
x
+
30
37
=
(
5
x
)
+
(
−
3
+
30
)
(Combine Like Terms)
37
=
5
x
+
27
37
=
5
x
+
27
Step 2: Flip the equation.
5
x
+
27
=
37
Step 3: Subtract 27 from both sides.
5
x
+
27
−
27
=
37
−
27
5
x
=
10
Step 4: Divide both sides by 5.
5
x
5
=
10
5
x
=
2

8 0

3 years ago