All categories

3 years ago

What is the solution to the equation One-third (x minus 2) = one-fifth (x + 4) + 2? x = 12 x = 14 x = 16 x = 26

Mathematics

1 answer:

Elena L [17]3 years ago

3 0

Answer:

x = 26

Step-by-step explanation:

Given

$\frac{1}{3}$ (x - 2) = $\frac{1}{5}$ (x + 4) + 2

Multiply through by 15 to clear the fractions

5(x - 2) =3(x + 4) + 30 ← distribute and simplify both sides

5x - 10 = 3x + 12 + 30, that is

5x - 10 = 3x + 42 ( subtract 3x from both sides )

2x - 10 = 42 ( add 10 to both sides )

2x = 52 ( divide both sides by 2 )

x = 26

You might be interested in

Which expression can be used to find measure angle R

Novay_Z [31]

Answer:

cos-1(-4/14)

Step-by-step explanation:

4.5=r

3.5=s

2=t

By law of cosines:

$r^{2}=s^{2}+t^{2} -2st cosR\\\\CosR= \frac{r^{2} -s^{2} -t^{2} }{-2st} \\\\R=cos^{-1} (\frac{(4.5)^{2}-3.5^{2} -2^{2} }{-2(3.5)(2)} )\\R= cos^{-1} (-\frac{4}{14} )$

4 0

2 years ago

The area rug is 4 15/32 square meters. The rug is 2 3/4 meters in length. How wide is the rug

Whitepunk [10]

Steps:
1. To do this problem, you have to divide the area by the length
2. To make this easier, turn both numbers into improper fractions
143/32 divided by 11/4
3. To divide you actually have to multiply by the reciprocal
143/32 times 4/11 equals 572/352
4. Turn 572/352 into a mixed number which is 1 220/352
5. Now you simplify it by dividing the numerator and denominator by 44
6. Your answer is.
1 5/8

6 0

3 years ago

HELP!!!!!! will give brainlist

stealth61 [152]

Answer:

1. 112 cm

2 135 ft

3 53.67

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the volume of this triangular prism? <br> 15 points :)

iren2701 [21]

Answer:

c)5676.16

Step-by-step explanation:

formula =0.5 X A X BX H

= 0.5 * 22.4*22.8*18.1

3 0

2 years ago

Explain in your own words what the mean of a negative exponent means?

BlackZzzverrR [31]

A negative exponent is the opposite of a regular exponent so for example, 5 to the power of -3 is 1/125

7 0

3 years ago