How do u solve 5(x-4)=3x+4

every evening jenna empties her pockets and puts her change in a jar. At the end of the week she counts her money. One week she

Darya [45]

Let Q= the number of quarters and D= the number of dimes.
Q+D= 40 coins
0.25Q+0.1D= $7.75
Rewrite equation 1 as: D = 40-Q and substitute into equation 2
0.25Q+0.1(40-Q)= 7.75 Simplify the left side
0.25Q+4-0.1Q= 7.75 Subtract 4 from both sides
0.25Q-0.1Q= 3.75 Convime like terms on left side
0.15Q= 7.75 Divide both sides by 0.15
Q=25 and D= 40-Q
D= 40-25 which is 15
So Jenna had 25 quarters and 15 dimes.
<span>To check multiply 25 x 25 and 15x10 which equals 625 and 150 this equals 775 so this is 7.75</span>

8 0

3 years ago

Find the equation of a line that is PERPENDICULAR to y = 1/3 x -2 & passes through the point ( 3, 2 ). (CHECK PIC FOR ANSWER

densk [106]

Answer:

The answer to your question is the letter b) y = -3x + 11

Step-by-step explanation:

Data

Original line y = 1/3x - 2

Point = (3, 2)

New line = ? (perpendicular)

Process

1.- Get the slope of the original line

The slope is the coefficient of the x in the line equation.

y = 1/3x - 2

slope = m = 1/3

2.- Find the slope of the new line

new slope = -3 (because the lines are perpendicular)

3.- Find the equation of the new line

y - y1 = m(x - x1)

x1 = 3 y1 = 2

-Substitution

y - 2 = -3(x - 3)

-Simplification

y - 2 = -3x + 9

y = -3x + 9 + 2

-Result

y = -3x + 11

3 0

3 years ago

Which shows the correct way to use expanded form to multiply 38,070 × 100?

Arada [10]

Answer:

domt know which one but this may help

Step-by-step explanation:

when you take 38707 into consideration the 3 would be 30,000 the 8 would be 8,000 and the 7 would be 70

7 0

3 years ago

Sally is having a problem with her puppy leaving the yard so she decides to build a new fence. The length of the yard is 8 feet

Rufina [12.5K]

Please check the attached file for the diagram of Sally's yard.

Let $w$ be the width of the yard.

Let $l$ be the length.

We are given that the length of the yard is 8 feet more than 4 times the width. Let us convert this into a mathematical equation.

4 times the width will be $4w$ . Now, 8 feet, or 8 more than 4 times the width will be $4w+8$ . We know that this is the value of the length of the yard and thus we can write this as:

$l=4w+8$

As we can see we have found the relationship between the length, $l$ and the width, $w$ of the yard.

We have been told that the total length of the fence required for the yard is 106 feet. This obviously means that the perimeter of the rectangular yard is 106 feet.

Now, we know that the perimeter of a rectangle is given by:

Perimeter= $2(l+w)=2((4w+8)+w)$ this is because we know that the length, $l$ is given by $l=4w+8$ .

Continuing further we get:

$106=8w+16+2w=10w+16$ This is because Perimeter=length of the fence=106 (given)

Therefore, $10w=90$

or, $w=9$ so, we just now found the width of the yard which is 9 feet. We are required to find the length. We can easily find the length using the relationship between $w$ and $l$ which is:

$l=4w+8$ giving us:

$l=4\times9+8=44$

Thus the length of the fence is 44 feet.

5 0

3 years ago

Someone?? Can you help me with this??

Vesna [10]

Answer:

which class question is this

3 0

3 years ago