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3 years ago

11 less than three times a number is the same as 75 less than the product of -1 and the number. Find the value of the number.

Mathematics

1 answer:

larisa [96]3 years ago

3 0

Answer: x = -16

Step-by-step explanation:

3x - 11 = -x - 75 then solve. see photo attached for work.

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Which expression is equivalent to \frac{10q^5w^7}{2w^3}.\ \frac{4\left(q6\right)^2}{w^{-5}} for all values of q and w where the

mestny [16]

Answer:

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9$

Step-by-step explanation:

Given

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

Required

Determine the equivalent expression

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

Simplify the first fraction

$\frac{5q^5w^7}{w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

Apply law of indices on the first fraction;

$5q^5w^{7-3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

$5q^5w^4.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

$\ \frac{5q^5w^4*4\left(q^6\right)^2}{w^{-5}}$

Apply law of indices:

$5q^5w^4*4\left(q^6\right)^2 * w^{5}$

Evaluate the bracket

$5q^5w^4*4 * q^{12} * w^{5}$

Collect Like Terms

$5*4q^5* q^{12}*w^4 * w^{5}$

$20q^5* q^{12}*w^4 * w^{5}$

$20q^{5+12}*w^{4+5}$

$20q^{17}w^9$

Hence:

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9$

7 0

3 years ago

BRAINLIEST INCLUDED!!!

DaniilM [7]

Answer: After 5 minutes, the plane is at 20,000 feet. It descended a total of 10,000 feet.

Step-by-step explanation:

f = feet above ground

r = rate of descent

m = minutes

f = 30000 - r · m

f = 30000 - 20000m

After five minutes:

f = 30000 - 2000(5)

f = 30000 - 10000

f = 20000

4 0

3 years ago

Read 2 more answers

Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type your answers in the box

anastassius [24]

F(x) = (1/2)x + 4
Plug y in for f(x).
y = (1/2)x + 4
Swap x and y.
x = (1/2)y + 4
Solve the equation for y =.
Subtract 4 from both sides.
x - 4 = (1/2)y
Multiply each term 2.
2x - 8 = y
Plug f^-1(x) in for y.
f^-1(x) = 2x - 8

f^-1(4) = 2(4) - 8
f^-1(4) = 0

3 0

4 years ago

What is 1/3 + a = 5/4

Oliga [24]

Answer:

A=11/12

Step-by-step explanation:

1/3+a=5/4

1/3+a-1/3=5/4-1/3

1/3+a-1/3

5/4-1/3 11/12

8 0

3 years ago

Find AC if AB = 1, AC = 2x + 26, and BC = x + 16

Keith_Richards [23]

Answer:

Step-by-step explanation:

AC=AB+BC

2X+26=1+x+16

2x-x=1+16-26

X= - 9

Now, AC=2X+26

=2*-9+26

= - 18+26

6 0

3 years ago

11 less than three times a number is the same as 75 less than the product of -1 and the number. Find the value of the number.​

11 less than three times a number is the same as 75 less than the product of -1 and the number. Find the value of the number.