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3 years ago

Evaluate the expression for the given values of the variables.

Mathematics

1 answer:

pochemuha3 years ago

5 0

The expression 9p − 8q for p = 4 and q = −8 is equal to 100

<h3><u>Solution:</u></h3>

Given that we have to evaluate expression for the given values of the variables

Expression is:

⇒ 9p − 8q

Given that p = 4 and q = -8

<em><u>Let us substitute the given values of p = 4 and q = -8 in given expression and evaluate it</u></em>

⇒ 9p − 8q = 9(4) - 8(-8)

⇒ 9p - 8q = 9(4) + 8(8)

Upon multiplying the terms we get,

⇒ 9p - 8q = 36 + 64 = 100

Thus the expression is equal to 100

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What does x equal???????? please help

Sholpan [36]

<h3>Answer: x = 61</h3>

=============================================

Explanation:

The angle x and the 29 degree angle combine to form a 90 degree angle. This is because the square maker on the left has that angle at 90 degrees, and all of the angles combine to form 180. So 180-90 = 90 is the left over amount.

Add up x and 29 to get 90

x+29 = 90

Solve for x by subtracting 29 from both sides

x+29-29 = 90-29

x+0 = 61

x = 61

--------------

An alternative is to solve the equation below for x

x+29+90 = 180 ... see note below

x+119 = 180

x+119-119 = 180-119 ... subtract 119 from both sides

x = 61

we get the same answer

note: this equation turns into x+29 = 90 if you subtracted 90 from both sides

7 0

3 years ago

What is the lateral area of the cone to the nearest whole number? The figure is not drawn to

Sveta_85 [38]

Answer:

The lateral surface area of the cone is $25120\ m^2$ .

Step-by-step explanation:

We have.

Height of a cone is 60 m

Diameter of a cone is 10 m

Radius, r = 80 m

The lateral surface area of a cone is given by :

$A=\pi rl$

l is slant height of the cone,

$l=\sqrt{60^2+80^2} =100\ m$

Plugging all values in above formula,

$A=3.14\times 80\times 100\\\\A=25120\ m^2$

So, the lateral surface area of the cone is $25120\ m^2$ .

6 0

3 years ago

Given that f(x) = x + 4 and g(x) = x + 7, find (g – f)(x). Question 2 options: (g – f)(x) = 3 (g – f)(x) = – 3 (g – f)(x) = – 4

Ivenika [448]

Answer:

A. 3

Step-by-step explanation:

<u>Given </u>

f(x) = x + 4 and
g(x) = x + 7

(g – f)(x) =
g(x) - f(x) =
x + 7 - x - 4 =
3

Correct choice is A

6 0

2 years ago

Read 2 more answers

Given the arithmetic sequence an = 2 + 4(n − 1), what is the domain for n?

zlopas [31]

The answer should be A the first one

3 0

3 years ago

Read 2 more answers

What is the product? One-eighth times three-elevenths 3 over 88 1 over 22 4 over 19 35 over 88

kipiarov [429]

Answer:

$\frac{3}{88}$

Step-by-step explanation:

Given

One-eighth times three-elevenths

Required

Solve

One-eighth means 1/8

Three-elevenths means 3/11

So, mathematically; the above expression is represented as thus:

$\frac{1}{8} * \frac{3}{11}$

To solve this, we simply multiply the numerator and the denominator together.

After multiplying these together, the next is to check if the resulting can be simplified

If yes,we simplify it and if otherwise, we live it like that.

So,

$\frac{1}{8} * \frac{3}{11}$

$=\frac{1 * 3}{8 * 11}$

$= \frac{3}{88}$

At this point, the fraction can't be simplified any further.

Hence,

$\frac{1}{8} * \frac{3}{11} = \frac{3}{88}$

3 0

2 years ago