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Furkat [3]
2 years ago
10

Four-thirds (x) minus one-third = 9. Four-thirds (x) minus one-third + one-third = 9 + one-third. Four-thirds (x) = StartFractio

n 28 over 3 EndFraction
Mathematics
1 answer:
Fiesta28 [93]2 years ago
7 0

Answer:

x = 7

Step-by-step explanation:

Given

\frac{4}{3}x - \frac{1}{3} = 9

Required

Solve for x

\frac{4}{3}x - \frac{1}{3} = 9

Add \frac{1}{3} to both sides

\frac{4}{3}x - \frac{1}{3} + \frac{1}{3} = 9 + \frac{1}{3}

\frac{4}{3}x = 9 + \frac{1}{3}

Take LCM

\frac{4}{3}x = \frac{27 + 1}{3}

\frac{4}{3}x = \frac{28}{3}

Multiply both sides by \frac{3}{4}

\frac{3}{4} * \frac{4}{3}x = \frac{3}{4} *\frac{28}{3}

Evaluate the left hand side

x = \frac{3}{4} *\frac{28}{3}

x = \frac{28}{4}

Divide 28 by 4

x = 7

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Naya [18.7K]

Answer:

5 points per post and 2 points per replies

8 0
2 years ago
How long will each person take to run a total of 50 miles at the given rates?
forsale [732]
Problema Solution

Terrance and Jesse are training for a long-distance race. Terrance trains at a rate of 6 miles every half hour, and Jesse trains at a rate of 2 miles every 15 minutes.

How long will each person take to run a total of 50 miles at the given rates?

Answer provided by our tutors

d = 50 mi the distance
t1 = the time of Terrance
t2 = the time of Jesse
Terrance trains at a rate of 6 miles every half hour thus his rate is:
v1 = 6/0.5 = 12 mph
Jesse trains at a rate of 2 miles every 15 minutes thus his rate is:
v2 = 2/(15/60) = 8 mph
since speed = distance/time follows time = distance/speed:
t1 = d/v1
t1 = 50/12
t1 = 4 1/6 hr
t1 = 4 hr 10 min
t2 = d/v2
t2 = 50/8
t2 = 6 1/4 hr
t2 = 6 hr 15 min
Terrance will run 4 hours and 10 minutes.
Jesse will run 6 hours and 15 minutes.

6 0
3 years ago
What is the unit price of 12 cupcakes for 25 dollars​
yulyashka [42]

Answer:

Unit price of 12 cupcakes for 25 dollars = 25/12

= 2.08 dollars

6 0
2 years ago
Read 2 more answers
1. Is the function g(x) increasing or decreasing over the interval -2 < x <-1?
Sergeeva-Olga [200]

Answer:

g(x) increasing

h(x) decreasing

Step-by-step explanation:

Since the value of y gets larger as the value of x increases over the interval -2 <x<-1 for the function g(x), the function is increasing

Since the value of y gets smaller as the value of x increases over the interval -2 <x<-1 for the function h(x), the function is decreasing

5 0
3 years ago
A + (-25)=75 <br> Solve the equation
gogolik [260]
You can rewrite this as A - 25 = 75. You always can cancel adding a negative into just subtracting, and although it may not seem important yet, it’s a good habit to get into for further algebra.
A = 100.
5 0
3 years ago
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