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WARRIOR [948]
2 years ago
5

Evaluate the expression -7 1/4x + 3 5/8 for x= -4

Mathematics
1 answer:
Misha Larkins [42]2 years ago
4 0

Answer:

32 5/8 (or 32 and 5/8)

Step-by-step explanation:

Okay, so this problem is asking for us to solve this problem with the substitution of a variable: x = -4. Before we fully solve this problem, we need to replace all of those x variables with -4 so that it is easier to solve.

-7 1/4(-4) + 3 5/8.

To make this problem even easier to solve, let's turn these mixed numbers into improper fractions. To do this, multiply the denominator by the whole number. Then add the numerator to this number. The new number that you just got is now your new numerator for this number.

-29/4(-4) + 3 5/8.

Repeat the last step to turn the other mixed number into an improper fraction.

-29/4(-4) + 29/8.

Now let's multiply that -4 by 29/4. Because a whole number technically has a denominator of 1, we can now set up the next part of our problem. (The symbol * means multiplication since we can't use x since it is already being used as a variable in this equation.)

(-29/4 * -4/1) + 29/8.

29 + 29/8.

Now to solve the rest of this problem, let's convert the whole number of 29 so that it has a denominator of 8. This is that these two numbers are addable.

<u>29</u> x <u>8</u> = <u>232</u>

1   x 8 =   8

Now these numbers are addable. So:

232/8 + 29/8 = 261/8 = 32 5/8.

I hope that this helps.

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How wide is the image on the stadium screen?
Alik [6]

Answer:

5.25ft

Step-by-step explanation:

10.5ft÷42=0.25ft per inch

then 0.25(per inch) multiplied by 21 will give you 5.25ft which is your answer

8 0
3 years ago
A right prism has a triangular base. The length of the base is 6 meters and the height of the base is 4 meters. The height of th
NNADVOKAT [17]

The volume of this right prism that has a triangular base is equal to 108 cubic meters.

<h3>The volume of a right prism.</h3>

Mathematically, the volume of a right prism is given by this formula:

V = L x W x H

<u>Where:</u>

  • L is the length.
  • W is the width.
  • H is the height.
  • V is the volume.

<u>Given the following data:</u>

Length of base = 6 meters.

Width of base = 4 meters. cm.

Height of prism = 4.5 meters.

Substituting the given parameters into the formula, we have;

V = 6 x 4 x 5

V = 108 cubic meters.

Read more on volume of prism here: brainly.com/question/3867601

3 0
2 years ago
Evaluate 10 8 ÷ 2 − 4. (5 points) 10 5 6 14
vodka [1.7K]
10+8/2-4

PEMDAS
parenthasese
exxonents
multiplication or  division
addiotn or subtration next

10+8/2-4
8/2 first
4
10+4-4
add
10+4=14
minus
14-4=10

answer is 10
7 0
3 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
sergiy2304 [10]

Answer:

The measure of angle θ is 7π/6. The measure of its reference angle is  <u>210°</u>

and sin θ is​ <u>-1/2</u>.

Step-by-step explanation:

The correct question is:

<em>The measure of angle θ is 7π/6. The measure of its reference angle is  ___</em>

<em>and sin θ is​ ___</em>

180° is equivalent to π radians. To transform 7π/6 radians to degrees, we have to use the following proportion:

180° / π radians = x° / (7π/6 radians)

x = (180/π) * (7π/6 radians)

x = 210°

And sin(210°) = -1/2

6 0
3 years ago
The front of Rosie's house is similar in shape to the front of Sparky's doghouse. The base of the doghouse is 6 feet and the hei
Shtirlitz [24]

Answer:

33feet

Step-by-step explanation:

If the base of the doghouse is 6 feet and the height is 5 feet, we can write;

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To get the length of the base if the height is 27.5feet

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5x = 6 * 27.5

5x = 165

x = 165/5

x = 33ft

Hence the length of its base will be 33feet

4 0
2 years ago
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