An exam worth 388 points contains 65 questions. Some questions are worth 4 points and the others are worth 8 points. How many 4 point questions are on the test?

Answers

Answer 1

Answer:

33 questions.

Step-by-step explanation:

Let x = 4 points questions.

Let y = 8 points questions.

Translating the word problem into an algebraic equation;

For the total number of questions;

[tex] x + y = 65[/tex] .........equation 1

For the total number of points;

[tex] 4x + 8y = 388[/tex] ..........equation 2

Given the following data;

Total number of questions = 65

Total number of points = 333

Solving the linear equation by using the substitution method;

Making x the subject in equation 1:

[tex] x = 65 - y[/tex] .......equation 3

Substituting "x" into equation 2;

[tex] 4(65 - y) + 8y = 388[/tex]

Simplifying the equation, we have;

[tex] 260 - 4y + 8y = 388[/tex]

[tex] 260 + 4y = 388[/tex]

Rearranging the equation, we have;

[tex] 4y = 388 - 260[/tex]

[tex] 4y = 128[/tex]

[tex] y = \frac {128}{4} [/tex]

y = 32 (For the 8 points question).

Substituting "y" into equation 3;

[tex] x = 65 - 32[/tex]

x = 33 (For the 4 points question).

Therefore, the number of 4 point questions on the test are 33 questions.


Related Questions

After restocking the vending machine, Sonya determined that 2 packs of mints were sold for every 6 packs of gum. If a total of 160 packs of candy were sold, how many were packs of gum?

Answers

Answer:

80

Step-by-step explanation:

160÷2=80 yay!!!!!!!!!!!

Answer:

(By mints I hoped you meant candy) 480 packs of gum

Step-by-step explanation:

2 packs of candy for every 6 packs of gum. Divided beach side by two to get ration of 1:3. This means that for every 1 pack of candy 3 packs of gum are sold. 160 x 3 = 480.

Solve.
5 (2 – 3) < 5W + 20

Answers

Answer:

W > -5

Step-by-step explanation:

5×(-1) < 5W + 20

-5 < 5W + 20

-25 < 5W

-5 < W

W > -5

a woman make n basket and sell the all at the same price​

Answers

Yay you’re not getting a profit because of how revenue works but I mean You made a basket

y=x+ 2
Type an (x,y) ordered pair that is a solution to this
equation.

Answers

Answer:

The ordered pair is (4,6)

Step-by-step explanation:

Ordered Pairs

It's given the equation

y = x + 2

Since there are no restrictions for the values of x and y, it has infinitely many solutions, i.e. any ordered pair of values (x,y) that make true the equation is a solution.

We can pick any value for x and then calculate the corresponding value for y as follows:

For x = 4,

y = 4 + 2 = 6

The ordered pair is (4,6)

Here's a fun question:
Pewdiepie has 4 heart attacks from G-fuel in October and 6 heart attacks from G-fuel in November. How many heart attacks did Pewdiepie have in total?

Answers

10 unless this is a trick question or I’m slow

Answer:

10. I feel bad for him.

Step-by-step explanation:

Use the following table to determine P(X>4).

Answers

Answer:

0.11

Step-by-step explanation:

To get the probability above, we simply look for the events greater than 4, then add their probabilities

That is;

P(5) + P(6) + P(7)

So the probability in this case will be;

0.07 + 0.03 + 0.01 = 0.11

Help ASAP for BRAINLIEST!!!!



1/4 (4x - 8) + 3x



Show your work and SIMPLIFY

Answers

Answer:

1/2

Step-by-step explanation:

1/4 (4x - 8) + 3x =0

distribute the 1/4

x-2+3x=0

combine like terms

-2+4x=0

move -2 to the other side [by ADDing +2 to each side

4x=2

divide [by 4 on both sides]

x=1/2

Solve -4b + 2 = 18.

b =

Answers

Answer:

b = -4

Step-by-step explanation:

your equation: -4b + 2 = 18

subtract 2 from both sides: -4b = 16

divide both sides by -4 to isolate the variable: b = -4

Answer:

b= -4b=18-2

=16

b=16+(-4)

=12

I need help with math it easy but im a lil slow so help

Answers

Answer:

22.5 is your answer

Step-by-step explanation:

How do I solve this equation and check the solutions?

Answers

Answer: x = -10 or 2

Step-by-step explanation:

Given:

√20 - 8x = x

Step 1: Square √20 - 8x

(√20 - 8x)² = (x)²

20 - 8x = x²

Now we can solve the problem

Step 2: Move 20 - 8x to the other side

20 - 8x = x²

-20 + 8x   - 20 + 8x

0 = x² + 8x - 20

This is a quadratic equation

Step 3: Factor the quadratic equation

10(-2) = -20 and 10 - 2 = 8

So our factors are 10 and -2

(x + 10)(x - 2) = 0

Step 4: Create a FOIL equation

For this equation to be true, x would have to make either one of the parenthysis equal to zero

(x + 10)(x - 2)

x = -10 x = 2

10 - 10 equals zero, and -2 + 2 equals zero, so those are your answers.

Find x in the logarithm below
logs x = 5

Answers

Answer:

100000

Step-by-step explanation:

 The given expression is;

       Log x = 5

Find x;

 Solution:

The log is to the base of 10;

   Log₁₀x  = 5

     if Logₓ t  = n;

                 t = xₙ

So;

      Log₁₀x  = 5

               x  = 10⁵

               x  = 100000

Solve for x and graph the solution on the number line below.
2 > X – 2 or 4 < X - 2

Answers

okay so

-x

solutions 0,0 and 6,0

put that on the x axis

What is the value of x?
(6x + 109)
(x + 179)
(4x - 349)

Answers

9514 1404 393

Answer:

  17

Step-by-step explanation:

The two base angles are congruent, so we have ...

  x +17 = 4x -34

  51 = 3x . . . . . . . add 34-x

  17 = x . . . . . . . . .divide by 3

what is 40/90, What is the product of divided, What is the product of multiplying, What is the product of Adding, What is the product of Subtracting.

Answers

Answer:

40/90 is 0.4(it goes on for ever)

Step-by-step explanation:

What is the product of multiplying: The product is the result or answer of multiplying the multiplicand by the multiplier.

What is the product of Adding: Definition of addition product : a product formed by chemical addition

What is the product of Subtracting: Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. The result of a subtraction is called a difference.

Hope this helps

Which of the following
relations is a function?

{(-2, 3), (4, 1), (0, 0), (-2, 2)}
{(1, 1), (2, 2), (1, 2), (2, 1)}
{(2,3), (3, 2), (6, 3), (3, 6)}
{(6,5), (5, 6), (3, 1), (1,3)}

Answers

Answer:

D

Step-by-step explanation:

6. 6

5. 5

3. 3

1. 1

1 output for each input

A pile of pebbles has a weight of 95 kg.
Some of the pebbles put into a small bag.
The rest of the pebbles is put into a large bag.
The pebbles in the large bag weighs 45 kg more than the pebbles in the small
What is the weight of the pebbles in the large bag?​

Answers

Answer:

70kg

Step-by-step explanation:

s = small bag

b = big bag

Equations

s + b = 95

s + 45 = b

plug in

s + s + 45 = 95

2s + 45 = 95

2s = 50

s = 25

plug in to find big bag

25 + 45 = b

70 = b

Answer:

The weight of the pebbles in the large bag is 70kg.

Step-by-step explanation:

This looks like a substitution algebra problem. To do this, I’m going to mark the large bag with (L) and the small bag with the variable, (s). I will make first 2 equations to show the value. The first equation would be L=45+s. The second equation would be 95=L+s. Since L is literally 45+s, add this into the 2nd equation. This would be 95=45+s+s. You should have 95= 45+2s and you would subtract 45 from both sides then. Finally, divide 2s by 2 to get what the small bag weighs, (which is 25kg). To find the large bag’s weight, use the first equation to find the answer. L= 45+s or 25. The answer would bring us to 70 kg.

Solve this equation.

23x−15x=x−1

Answers

Answer:

x = -1/7

Step-by-step explanation:

25x - 15x = x - 1

combine like terms

7x = -1

divide

x = -1/7

Answer:

x = -1/7 (the whole fraction is negative)

Step-by-step explanation:

23x−15x=x−1

8x = x - 1

8x - x = x - 1 - x

7x = -1

x = -1/7

What’s the answer to this please? Thank uuuuu!!!

Answers

Answer:

[tex]x=155[/tex]

Step-by-step explanation:

According to the definition of a linear pair:

[tex](x-25)+(50)=180[/tex]

Solve for [tex]x[/tex].

Combine like terms on the left:

[tex]x+25=180[/tex]

Subtract 25 from both sides:

[tex]x=155[/tex]

Hence, the value of [tex]x[/tex] is 155.

Answer:

x=155, the angle is 130 degrees

Step-by-step explanation:

Assuming you want to find x:

A straight line is 180 degrees so that means

x-25+50=180 add like terms together

x+25=180 subtract 25 from both sides

x=155

If you want to find the degree angle, just replace x with 155

x-25=155+25=130

Also if you want to know, yes I edited my answer as I couldn't tell if that was a + or a - in the picture. Have a nice day and happy thanksgiving!

How do I solve this equation and check all the solutions?

Answers

Answer:

10

Step-by-step explanation:

x-√2x-5=5

-√2x-5=5-x

√2x-5=-5+x

2x-5=x²-10x+25

2x-5-x²+10x-25=0

12x-20-x²=0

-x²+12x-20=0

x²-12x+20=0

x=10

Note: there is a another answer x=2 but the equality will be false if x=2 so the answer is 10

The answer I got was: x = 0,2

Hope this helps! ;)

5. Using commutativity and associativity of addition of rational numbers, express each<br />of the following as a rational number. <br />1. 2/5 +7/3+-4/5 +-1/3<br />2. 3/7+-4/9+-11 /7 +7/9<br />3. 2/5+8/3+-11 /15+4/5+-2/3<br />4. 4/7+0+-8/9-13/7+17/21<br /><br /><br /><br />So important please tell me fast. ​

Answers

Answer:

[tex] \LARGE{ \underline{\underline{ \pink{ \bf{The \: AnsWer:}}}}}[/tex]

Composition and Structure of the Oceans. Planet Earth has been called the "Blue Planet" due to the abundant water on its surface. Here on Earth, we take liquid water for granted; after all, our bodies are mostly made of water.

The product of negative 7 and a number squared is negative 28

Answers

Answer:

2

Step-by-step explanation:

2^2=4

-7*4=-28

[6+(10-8)*7]+5.

*need help ASAP*

Answers

Step-by-step explanation:

Given

[ 6 + ( 10- 8 ) *7 ] + 5

= [ 6 + 2 * 7] + 5

= [ 6 + 14 ] + 5

= 20 + 5

= 25

Answer:

25

Step-by-step explanation:

Using PEMDAS, you start by evaluating the expression in parentheses:

(6 + (2) × 7 ) + 5

Since there are no exponents, you do the multiplication/division next:

(6 + 14) + 5

Then add the rest:

(20) + 5

25

The graph of the function B is shown below. If B(x) = -1, then what is x?
1
2
-1

Answers

Answer:

x = 2

Step-by-step explanation:

B(x) = - 1 means what is the value of x for y = - 1

This is the dot positioned at (2, - 1 )

with x = 2

Answer: its the first one

Step-by-step explanation:

hope thats what your lookinf for

In how many ways can the numbers 3, 4, 5, 6, 7, 8, 9, and 10 be divided into two sets A and B such that the sum of the numbers in B is three times the sum of the numbers in A?

Answers

Answer:

4 ways

Step-by-step explanation:

3+4+5+6+7+8+9+10=52

1/4×52=13

13×3=39

3+10=13

4+9=13

5+8=13

6+7=13

so there are 4 ways to divide in two parts.

1.

A={3,10}

B={4,5,6,7,8,9}

2.

A={4,9}

B={3,5,6,7,8,10}

3.

A={5,8}

B={3,4,6,7,9,10}

4.

A={6,7}

B={3,4,5,8,9,10}

Solve: Select the correct equation: Two candles are lit at 6 pm. The 12-in. candle burns 0.5 inches every hour. The 18 inch candle burns two inches every hour. At what time will the two candles be the same height? Let h represent the number of hours
A. h=4
B. h=5
C. h=1
D. h=2

Answers

Letter A is the correct answer

Anelle is saving to buy a guitar that costs $350. So far she has saved $105.20. She wants to buy the guitar in 18 weeks. Based on this information, which statement is true?

Answers

Answer:

Step-by-step explanation:

350-105.20= 244.80 is still needed

I don't have the statements so...

244.80/18 weeks = 13.60 She'll need to save at least $13.60 a week for 18 weeks to make up the difference.

Answer:

Step-by-step explanation:

18x + 105.2 ≥ 350

18x ≥ 244.8

x ≥ 13.6

She has to save at least $13.6 per week.

HELP ME ASAP PLEASE?!?!
If two triangles have three pairs of congruent angles, then the triangles are not guaranteed to be congruent.
A.True
B.False

Answers

A True

Congruent means to have the same shape and size or when we can cut them out and then match them up completely.

Answer:

true

Step-by-step explanation:

The plate moved 1719 km in 150 million years what is the rate the plate traveled in 1 million years.

Answers

Answer:

11.46 km per million years

Step-by-step explanation:

divided 1719 by 150

from 24 teachers to 30 teachers

Answers

Where’d the other 6 teachers go

Which of the following equations would have to be the second equation so that the system has no solutions?
A. y = -x
B. 9y = 6x
C. y = x - 4
D. 6x - 4y = 6

Answers

Answer:

I put 9y=6x

Step-by-step explanation:

I say this because I’ve put all points in on Desmos graph and this is the best answer choice to me dk if I’m right .

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