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Lyrx [107]
3 years ago
5

The length of 13 pink earasers lined up end to end is 29 1/4 inches. What would be the length of two earaser?

Mathematics
1 answer:
stepladder [879]3 years ago
7 0
First you would want to find the length of one eraser and then multiply that by 2. To find the length of one you take the total length or all of them and divide it my the total number of them. 29 1/4 is 117/4.

(117/4) / 13 Dividing by something is the same as multiplying by the opposite.

117/4 × 1/13 = 117/52

Now you multiply by 2.

117/52 * 2/1 Cross simplify

117/26 * 1/1

117/26 inches or 4 1/2 inches.
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Find a value of x that is a solution to 5(x – 3) = x + 13.
bezimeni [28]

Answer:

x = 7

Step-by-step explanation:

5(x-3)=x+13

distribute

5x-15= x+13

combine like terms

5x-x = 13 + 15

4x=28

x = 7

3 0
3 years ago
Read 2 more answers
Find the value of n so that the line perpendicular to the line with the equation -2y + 4 = 6x + 8 passes through the points at (
kolezko [41]
If the line must be perpendicular to the equation, that means the slope is the reciprocal of the one in the given equation. So first we find that, the slope of the given equation. 

- 2y + 4 = 6x + 8
- 2y = 6x + 4
 
y = - 3x - 2

So the slope of the given equation is - 3x. That means the slope of our perpendicular equation must be 1/3x 

Now to find the value of n, plug in our given information and perpendicular slope into the slope equation:

Slope = (Y₂ - Y₁ ) / (X₂ - X₁)

1/3 = (- 8 - (-4)) / (2 - n)
1/3 = (- 8 + 4) / (2 - n)
1/3 = ( - 4) / (2 - n)

Multiply both sides by (2 - n) to get the binomial out of the denominator

(1/3)(2 - n) = - 4

Multiply both sides by 3 to isolate the binomial

2 - n = - 4(3)
2 - n = - 12

Subtract 2 from both sides to isolate the variable

- n = - 14

Divide by - 1 to get rid of the negative.

n = 14. Your coordinate is ( 14, - 4)

Now to find the equation that is perpendicular. 

y = 1/3x + b

Plug in either of the coordinates. I'm going to use the ordered pair we just found. 

- 4 = 1/3(14) + b
- 4 = 14/3 + b
- 12/3 = 14/3 + b

Subtract 14/3 on both sides.

- 26/3 = b

Your equation is y = 1/3x - 26/3


6 0
3 years ago
How to convert from decimal to hexadecimal?
Anuta_ua [19.1K]
<span><span>  </span><span>Steps:<span>Divide the decimal number by 16.   Treat the division as an integer division.  Write down the remainder (in hexadecimal).Divide the result again by 16.  Treat the division as an integer division.  Repeat step 2 and 3 until result is 0.<span>The hex value is the digit sequence of the remainders from the last to first.</span></span></span></span>
4 0
3 years ago
Boldface publishing company reported a loss of $17,225 in march. In April, the company showed a profit of $32,500. How much more
Dmitrij [34]

Answer:

Boldface publishing company had $49,725 more in April than March

Step-by-step explanation:

Step 1

Express the total amount of money Boldface had in March as shown;

Let the initial amount of money he had be;

initial=x

loss=$17,225

Net amount=initial amount-loss

Net amount in March=x-17,225

Step 2

Express the total amount of money Boldface had in April as shown;

Let the initial amount of money he had be;

initial=x

profit=$32,500

Net amount=initial amount+profit

Net amount in April=x+32,500

Step 3

To calculate how much more Boldface make in April than March;

Net amount in April-net amount in March

where;

net amount in April=x+32,500

net amount in March=x-17,225

replacing;

(x+32,500)-(x-17,225)

x+32,500-x+17,225

x-x+32,500+17,225=49,725

Boldface publishing company had $49,725 more in April than March

5 0
3 years ago
3/5 with an exponent of 4
nordsb [41]

Step-by-step explanation:

\text{If is}\ \dfrac{3}{5}^4,\ \text{then}\ \dfrac{3}{5}^4=\dfrac{3\cdot3\cdot3\cdot3}{5}=\dfrac{81}{5}=16\dfrac{1}{5}\\\\\text{If is}\ \left(\dfrac{3}{5}\right)^4=\left(\dfrac{3}{5}\right)\left(\dfrac{3}{5}\right)\left(\dfrac{3}{5}\right)\left(\dfrac{3}{5}\right)=\dfrac{3\cdot3\cdot3\cdot3}{5\cdot5\cdot5\cdot5}=\dfrac{81}{625}

7 0
3 years ago
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