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ale4655 [162]
3 years ago
8

PLS HELP The width of Ben's rectangular family

Mathematics
1 answer:
marin [14]3 years ago
3 0

Answer:

19 feet

Step-by-step explanation:

The perimeter is calculated by multiplying the sum of length and width by 2

width is 3 less than length so if we call the width x the length would be x + 3

2×(x + x + 3) = 4x + 6 and

4x + 6 = 70 subtract 6 from both sides

4x = 64 divide both sides by 4

x = 16

The length is x + 3 so the answer is 19 feet

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What can each term of the equation be multiplied by to eliminate the fractions before solving? 1/2 x – 5/4 + 2x =5/6 + x
Karo-lina-s [1.5K]

The <u>equation</u>

\dfrac{1}{2}x-\dfrac{5}{4}+2x=\dfrac{5}{6}+x

consists of five <u>terms</u>, three of them contain <u>fractions.</u> The <u>denominators</u> of these fractions are 2, 4 and 6.

Find the LCM(2,4,6). Since

  • 2=2;
  • 4=2·2;
  • 6=2·3,

then LCM(2,4,6)=2·2·3=12.

Thus, you have to multiply each term of the equation by 12 to eliminate the fractions.

Answer: 12


8 0
4 years ago
Read 2 more answers
Logan, a sales clerk in a book store, earns a base salary of $1,700 per month plus a commission of 5 percent on monthly sales ov
shepuryov [24]
1,700+.05(X-600)=2,100
-1700. -1700
.05(X-600)= 400
.05x-30 =400
+30=+30

.05x=. 430
Divided by .05
X=. 8,600
5 0
4 years ago
14. Solve the equations:
boyakko [2]

Answer: C

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

5(z - 4) - z = 4z - 20

<u>5z</u> - 20 <u>- z</u> = 4z - 20

    4z - 20 = 4z - 20

   <u>-4z        </u>   <u>-4z        </u>

          -20 =       -20

               TRUE

Since it is a true statement, there are infinitely many solutions

*******************************************************************************

Answer: D

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

Eric: 1 hot dog

Mark: 1 hot dog + 1 soda + 1 peanuts

Total: 2 hot dogs + 1 soda + 1 peanuts

       =  2(3.50)        + x         + 1(4.00)

       =      7.00        + x          + 4.00

       =                         x + 11.00

Eric paid 3.00:  x + 11.00 - 3.00

                          x + 8.00

Mark paid 11.50 which was the balance owed: 11.50 = x + 8.00

11.50 = x + 8.00

<u>-8.00</u>    <u>     -8.00 </u>

 3.50 = x

the soda cost $3.50


7 0
3 years ago
1.7 6/5<br> 2.4 25/25<br> 3.28/3<br> what is the lowest term?
liberstina [14]

Answer:

3.

\frac{28}{3}

Step-by-step explanation:

number 1 equals 8 1/5

number 2 equals 5

number 3 equals 9 1/3

5 0
2 years ago
A surveyor measures the angle of elevation to a point on a mountain to be 15
bija089 [108]

Answer:

1.61 mile

Step-by-step explanation:

Tan 15 = opposite / adjacent =  height / 6 miles

 soooo   6 tan 15 = height = ~ 1.61 mile

3 0
2 years ago
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