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ludmilkaskok [199]
3 years ago
9

#2

Mathematics
1 answer:
love history [14]3 years ago
6 0
21.25 divided by 5 equals 4.25
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An exam worth 388 points contains 65 questions. Some questions are worth 4 points and the others are worth 8 points. How many 4
BaLLatris [955]

Answer:

33 questions.

Step-by-step explanation:

Let x = 4 points questions.

Let y = 8 points questions.

<em>Translating the word problem into an algebraic equation;</em>

For the total number of questions;

x + y = 65 .........equation 1

For the total number of points;

4x + 8y = 388 ..........equation 2

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

Total number of questions = 65

Total number of points = 333

<em>Solving the linear equation by using the substitution method;</em>

<em>Making x the subject in equation 1:</em>

x = 65 - y .......equation 3

<em>Substituting "x" into equation 2;</em>

4(65 - y) + 8y = 388

<em>Simplifying the equation, we have;</em>

260 - 4y + 8y = 388

260 + 4y = 388

<em>Rearranging the equation, we have;</em>

4y = 388 - 260

4y = 128

y = \frac {128}{4}

y = 32 (For the 8 points question).

<em>Substituting "y" into equation 3;</em>

x = 65 - 32

x = 33 (For the 4 points question).

<em>Therefore, the number of 4 point questions on the test are 33 questions. </em>

8 0
3 years ago
A design on a balloon is 8 centimeters wide when the balloon holds 25 cubic centimeters of air . How much air must the balloon h
Vlad1618 [11]

Answer:

50 centimetres

Step-by-step explanation:

6 0
3 years ago
If anyone could help me answer please do!
Anvisha [2.4K]
Slope :2 y- intercept -2 

6 0
3 years ago
Does anyone know the correct choice for this question? If its correct ill mark you as the best answer choice! Please!
Sergeeva-Olga [200]

Answer:

it is f

Step-by-step explanation:

8 0
3 years ago
What is the solution of the system of equations
White raven [17]

Answer:

It the 3rd one it's correct cuz i worked it out

Can i have a brainliest please!!:)

Step-by-step explanation:

solve your system by substitution.

c+3d=8;c=4d−6

Rewrite equations:

c=4d−6;c+3d=8

Step: Solve c=4d−6for c:

c=4d−6

Step: Substitute4d−6forcinc+3d=8:

c+3d=8

4d−6+3d=8

7d−6=8(Simplify both sides of the equation)

7d−6+6=8+6(Add 6 to both sides)

7d=14

7d

7

=

14

7

(Divide both sides by 7)

d=2

Step: Substitute2fordinc=4d−6:

c=4d−6

c=(4)(2)−6

c=2(Simplify both sides of the equation)

Answer:

c=2 and d=2

 

6 0
3 years ago
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