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34kurt
1 year ago
15

Given f(x) = 70 + 11x, find x when f(x) =158

Mathematics
1 answer:
Mumz [18]1 year ago
5 0

Answer:

\huge  \boxed{x = 8}

Step-by-step explanation:

f(x) = 70 + 11x

To find the value of x when f(x) =158 , equate f(x) to 158

We have

70 + 11x = 158 \\ 11x = 158 - 70 \\ 11x = 88

Divide both sides by 11

\frac{11x}{11}  =  \frac{88}{11}  \\

We have the final answer as

<h3>x = 8</h3>

Hope this helps you

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If the quantity 4 times x times y cubed plus 8 times x squared times y to the fifth power all over 2 times x times y squared is
MA_775_DIABLO [31]
\dfrac{4xy^3 + 8x^2y^5 }{2xy^2}

= \dfrac{4xy^3(1+2xy^2)}{2xy}

= 2y^2(1 + 2xy^2)

= 2y^2 + 4xy^4

Answer: a = 1, b 2, c = 1, d = 4
8 0
1 year ago
The area of a rectangle is 5x^3+19+6x-18 with length x + 3. Using synthetic division, what is the width of the rectangle?
adell [148]
               5  19    6  -18
        -3     
                    -15 -12   18

                 5    4   -6    0

Therefore, the width is 5x^2 + 4x - 6
8 0
1 year ago
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Find the value of y for a given value of x, if y varies directly with x.
stepan [7]

Answer:

5.46

Step-by-step explanation:

3.24/5.4 = y/9.1

7 0
1 year ago
From home, Mary’s work is two thirds along the way to training. Training is 2.5km from work. Mary normally goes to work, then tr
polet [3.4K]
First thing to do is to illustrate the problem, Since it was mentioned that work was along the way to training, the order is shown in the picture. Mary's home and workplace are nearer compared to her training center. It is also mentioned that the distance between work and home, denoted as x, is 2/3 of the total distance from home to training. The total distance is (x + 2.5). Thus,

x = 2/3(x+2.5)
x = 2/3 x + 5/3
1/3 x = 5/3
x = 5 km

Thus, the distance from home to work is 5 km. This means that Mary has to walk this distance twice to return home to get her shoes. Then, she will travel again the total distance of 5+2.5 = 7.5 km to get to her training center. So,

Total distance = 2(5km) + 7.5 km
Total distance = 17.5 km

3 0
1 year ago
Solve the following multiplication and division problems. a. 8 T. 1,398 lb. 14 oz. × 6 b. 349 lb. 6 oz. ÷ 130 c. 6 T. 294 lb. ÷
tester [92]

Answer:  a) 278382 oz

b) 43 oz

c) 64.1 oz

Step-by-step explanation:

a) 8 T. 1,398 lb. 14 oz. × 6

First we need to change it in 'oz'.

As we know that

1\ ton=32000\ oz\\\\1\ lb=16\ oz

so, it becomes,

8\times 32000+1398\times 16+14\ oz\\\\=278382\ oz

8 T. 1,398 lb. 14 oz. × 6 becomes

278382\times 6\\\\=1670292\ oz

b) 349 lb. 6 oz. ÷ 130

It becomes,

349\times 16+6\ oz\\\\=5590\ oz\\\\\text{ at last it becomes}\\\\=\frac{5590}{130}\\\\=43\ oz

c) 6 T. 294 lb. ÷ 3,071

First it becomes,

6\times 32000+294\times 16\ oz\\\\=196704\ oz

At last it becomes,

\frac{196704}{3071}\\\\=64.1\ oz

Hence, a) 278382 oz

b) 43 oz

c) 64.1 oz

6 0
2 years ago
Read 2 more answers
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