Your friend's math test contained 42 questions, some of which were worth two points while therest were worth three points.Your friend tells you that a perfect score is 100 points, but shecannot remember how many of each type (2 point or 3 point) were on the test.Help your friendout:how many of each type were on the test?

Answers

Answer 1

Answer: Two points = 26

Three points = 16

Step-by-step explanation:

Let the 2 points questions be represented by x

Let the 3 points questions be represented by y

Since the math test contained 42 questions, some of which were worth two points while therest were worth three points. This can be written as:

x + y = 42 ........... equation i

Since a perfect score is 100 and some questions are worth two pints while others are worth 3 points. This can be written as:

2x + 3y = 100 ........... equation ii

x + y = 42 ........... equation i

2x + 3y = 100 ......... equation ii

Multiply equation i by 2.

Multiply equation ii by 1

2x + 2y = 84 ........ equation iii

2x + 3y = 100 ....... equation iv

Subtract equation iii from iv

y = 16

There are 16 3-points questions.

Since x + y = 42

x + 16 = 42

x = 42 - 16

x = 26

There are 26 2-points questions

Answer 2

Answer:

do you go to risdon

Step-by-step explanation:


Related Questions

10 points!! Need ASAP

Answers

The answer would be 1. Whenever there is no number in front of the x, it automatically becomes a one

Answer:

your answer is 1 because if you graph your equation and count the slope you get one

hope this helps

Can someone help me with this question? Giving Brainliest + 50 Points!

Answers

Answer:

c i think

Step-by-step explanation:

30 is 60% of what number ?

Answers

Answer:

50

Step-by-step explanation:

Hope this helps!

I need some help with math pls thank you :)

Answers

Answer: 0x+7y=4

horizontal line

Answer this question: -12d- 6= -2(d+3)- 10d

Answers

-12d -6 = -2(d+3) -10d
-12d -6 = -2d -6 -10d
-12d -6 = -12d -6
-6 = -6
infinite solutions ♾

Answer:

d = 1

Step-by-step explanation:

-12d - 6 = -2 (d + 3) - 10d

-12d - 6 = -2d - 6 - 10d

-12d - 6 = -12d - 6

-12d = -12d

d = d = 1

round the nearest hundredth :45.8747

Answers

The answer should be 45.87

What decimal is equivalent to 5/6?

Look at the picture.

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer:

B. 8.3 with the bar on the 3

Step-by-step explanation:

B because the decimal of 5/6 is 8.3333333 and so on to represent the repeating and endless 3 put a bar on the 3.

Justin uses 2/3 of a gallon of paint to cover 1/12 of his bedroom wall. How much paint is needed to cover the entire wall

Answers

Answer:

He would need 2/4 gallon... if not then sorry

Step-by-step explanation:

Find Slope (8,7) and (4,1)

Answers

Slope (m) = Y/X =3/2 = 1.5

A large water tank holds 210 liters of water. About how many gallons of water does the same tank hold, if there are approximately 15 liters in 4 gallons?

Answers

Answer:

56

Step-by-step explanation:

210 divided by 15 to get how many sets of 15 in the tank which is 14, then multiply 14 by 4 to get the gallon equivalent.

two triangles with corresponding congruent angles are congruent. Is this statement true or false?

Answers

Answer:

FALSE

Step-by-step explanation:

For two triangles to be considered congruent to each other, their corresponding angles and their corresponding side lengths must be congruent to each other. That is all the sides and angles of one triangle must be equal to all the corresponding sides and corresponding angles of the other.

Therefore, knowing that two traingles have corresponding angles that are equal is not enough to conclude that they are congruent. It simply means they have the same shape, but may not have the same size, as their corresponding sides may vary.

Thus, the statement, "Two triangles with corresponding congruent angles are congruent" is FALSE.

⚠️What is the slope of the line that passes through the points ( 4,9 ) and ( 14, 17)⚠️
⚠️HURRY TAKING A TEST⚠️

Answers



The answer is m=4/5 so the slope of the line is 4/5

Recently, Jennifer took a survey and asked her classmates what their favorite music genre was. The results are provided below. What percent of students liked Country? Round your percent to the nearest tenth if necessary)

Answers

11.3% of students liked country <3


Write the slope-intercept form of the equation of the line given a slope of 3 and a y-intercept
of -4
I need help ASAP math test :(

Answers

y=3x-4

There you go my friend. Please consider brainliest

(8.1 + 7.9)x – (25 ÷ 5)x

Answers

Answer:

11x

Step-by-step explanation:

Follow PEMDAS

Parenthesis

(8.1 + 7.9) = 16

(25 / 5) = 5

Multiply

16 * x = 16x

5 * x = 5x

Subtract

16x - 5x = 11x

En red socks and ten blue socks are all mixed up in a dresser drawer. The 20 socks are exactly alike except for their colour. The room is in pitch darkness and you want two matching socks. What is the smallest number of socks you must take out of the drawer in order to be certain that you have a pair that match?

Answers

Answer:

3 socks

Step-by-step explanation:

Given that, there are 10 red socks and 10 blue socks which are mixed up in the dresser drawer.

The socks are identical except the color.

We need to find out, the minimum number of socks to be taken out from the dark room so that there is at least a pair of matching socks comes out of the drawer.

Let us consider the cases:

First Two socks pulled out of the drawer.

Case 1: Both are red or both are blue.

In this case, the matching pair is ready.

But there can be other case as well.

Case 2:

One red and one blue color taken out.

Now, when we pull the third, there will be either red or blue.

That will make a pair.

Therefore, to cover up all the cases and to be certain to get a matching pair out of the drawer, at least 3 socks must be taken out.

So, the answer is:

We need to take out at least 3 socks.

The number of socks that determines a matching pair is an illustration of probabilities

The smallest number of socks is 3

The number of socks is given as:

[tex]\mathbf{Red = 10}[/tex]

[tex]\mathbf{Blue = 10}[/tex]

There are two colors of socks in the drawer

This is represented as:

[tex]\mathbf{n = 2}[/tex]

So, the smallest number of socks to determine matching pair is

[tex]\mathbf{Smallest = n + 1}[/tex]

Substitute 2 for n

[tex]\mathbf{Smallest = 2 + 1}[/tex]

Add

[tex]\mathbf{Smallest = 3}[/tex]

Hence, the smallest number of socks is 3

Read more about probabilities at:

https://brainly.com/question/10837034

marias mother told her to go to the health food store and buy 10 pounds of apples each bag weighed 5 pounds and contained 15 apples how many apples would she have if she bought the 10 pounds her mother instructed her to buy

Answers

Answer:

she would have 30 apples!

Step-by-step explanation:

since each bag weighs 5 pounds, and she needs 10 pounds of apples, she needs to buy two bags. if each bag contains 15 apples and she buys two bags, 15x2=30. hope this helps!

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

1.3

Step-by-step explanation:

4 divided by 3 is 1.33333 and so on

Please help me this is urgent

Answers

Answer:

2,-2,-6,-10

Step-by-step explanation:

hope this helps

y=(−4)(−1)−2

y=2

y=(−4)(0)−2

y=−2

y=(−4)(1)−2

y=−6

y=(−4)(2)−2

y=−10

Hope this is helpful!
I think the person that answered before me had it wrong I’m not sure. Good luck !!!

please help!!!!!!!!!!!!!

Answers

Answer:

The answer is 3/20 or 0.15 as a decimal.

Step-by-step explanation:

3/20!!! Or 0.15 depending on which way u need it

The linear function y = 15x represents the distance y (in miles) you have traveled after x hours
during a 4-hour bicycle ride.
Which graph represents the situation?

Answers

Answer:

The graph to in the top right

Graph B, represents the situation.

What is a linear function?

A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0.  Although the linear functions are also represented in terms of calculus as well as linear algebra. The only difference is the function notation. Knowing an ordered pair written in function notation is necessary too. f(a) is called a function, where a is an independent variable in which the function is dependent. Linear Function Graph has a straight line whose expression or formula is given by;

                                            y = f(x) = p x + q

Given linear function:

y = 15x

where y is distance in miles

x is time in hours.

Graph A only represents the points and not the linear function.Graph B represents the linear function.

putting the value (4,60) in given linear function,

y = 15x

⇒ 60 = 15 × 4

⇒ 60 = 60

Graph C and Graph D has no scale for x variable; the time in hours, hence do not represent the situation.

Hence, by the above observation, Graph B represents the linear function, y = 15x.

Learn more about linear function here:

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Find the value of W. please help

Answers

Answer:

39 degrees

Step-by-step explanation:

Subtract 90 (for the right angle) and 51 (the given angle) from 180, since all angles in a triangle add up to 180.

180-90-51 = 39

Answer:

I think the answer is 39 degrees

Step-by-step explanation:

Help with me on these plz!!!! :)

Answers

Answer:

_ (repeating)

3. d=3.16

4. v=1.4

5. b=3

Step-by-step explanation:

Answer:

3) d= 1.9

4) v= 1.4

5) b= 6

Step-by-step explanation:

On 3, you divide the 5 to have the D be alone

same thing with 4

On 5, you add the -3 to the other side to keep numbers together, and the -3 becomes positive

Solve.
(1 Point)
8/11 (n - 10) = 64

Answers

Answer:

n=98

Step-by-step explanation:

i think but don't get mad at me if I get it wrong

HElp me i give best a brainest

Answers

Answer:

d. 7 and 16; 8 :14,4:7 and 16:28.

Answer:

D. 7 and 16; 8 : 14, 4 : 7, and 16 : 28

Step-by-step explanation:

1. the first ratio for 8 and 14 is 4 : 7. so that would eliminate the first two answer choices.

2. since the ratio is 4 : 7, that would mean the second value for buses is 7 because the second value for taxis is 4. and the second values for both taxis and buses would be equal to the ratio.

3. 28 is the third value for the bus. and since the ratio is 4 : 7, you have to find the value that 7 can be multiplied by to get 28. 7 multiplied by 4 is 28. you also have to multiply the first number of the ratio (4) by 4. and the product would be 16.

4. So the final answer is D.

The national percentage of automobile accident fatalities that are alcohol related is 39%. In a random sample of 96 automobile accident fatalities in the state of Connecticut, 44 were alcohol related. Is this sufficient evidence to say that Connecticut has a higher percentage of alcohol related automobile fatalities?

Answers

Answer:

Step-by-step explanation:

Given that:

There are 96 automobile accident fatalities in Connecticut and 44 were alcohol related.

The null hypothesis and the alternative hypothesis for this study can be computed as:

[tex]H_o: P =0.39 \\ \\ H_1:P> 0.39[/tex]

The sample proportion [tex]\hat p[/tex]= 44/96 = 0.45833

Using the Z formula for a single proportion test, we get;

[tex]Z = \dfrac{\hat p - P }{\sqrt\dfrac{{P(1-P)}}{{n}}}[/tex]

[tex]Z = \dfrac{0.45833 - 0.39 }{\sqrt\dfrac{{0.39(1-0.39)}}{{96}}}[/tex]

[tex]Z = \dfrac{0.06833 }{\sqrt\dfrac{{0.39(0.61)}}{{96}}}[/tex]

[tex]Z =1.37[/tex]

The p-value = 1 -P(Z< 1.37)

The p-value = 1 - 0.9147

The p-value = 0.0853

At the level of significance (∝) 0.05 ;

Since p-value is greater than level of significance (∝);  we accept the null hypothesis and conclude that there is no sufficient evidence to say that higher percentage of alcohol is related to automobile fatalities.

During a snowstorm, snow fell at a constant rate for a number of hours. Then it stopped snowing for a number of hours. Then it started up again at a different constant rate. Nolan made a graph showing the inches of snow on the ground over time using the data that he collected.

Answers

Answer:

x=45

Step-by-step explanation:

weights and routes

weights and routes

weights and routes

VvvvVV

The amount of snow on the ground when the storm started is the y- intercept of graph which is 5 inches.

The y- intercept of a graph gives the value y when the value of x = 0.

The y - intercept is the point where the plotted line intersects the y - axis. This is a reasonable value because, the point 0 depicts the time the snow started to fall. The y - axis represents the amount of snow on the ground in inches, therefore, the value on the y-axis when x = 0, should give the appropriate answer. Hence, amount of snow when the snow started was 5 inches.

Learn more : https://brainly.com/question/1354826?referrer=searchResults

What is the Unit Rate of 165 miles in 3 hours?

Thank you

Answers

Answer:

55 miles

Step-by-step explanation:

If you are looking for the unit rate, that means you are looking for the amount of miles in one hour.     miles/hours is how you would solve this equation.  165/3=55 miles in one hour. Hope this helps!

The Unit Rate of 165 miles in 3 hours is 55 miles.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we get,

165 miles in 3 hours

i.e. in 1 hour = 165/3

                    =55miles

If you are looking for the unit rate, that means you are looking for the amount of miles in one hour.    

miles/hours is how you would solve this equation.

165/3=55 miles in one hour.

To learn more on division click:

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Write an equation five times the difference of n less 3 equals 12

Answers

Answer:

5 (n - 3) = 12

Step-by-step explanation:

5 (n - 3) = 12

How would you express the area of the rectangle using the Distributive Property?

A rectangle with length x plus 5 and width 3.
A. 5(x + 3)
B. x(3 + 5)
C. 3(x + 5)
D. 3x + 5

Answers

Answer:

The area of the rectangle can be found using two different expressions: a(b + c) or ab + ac. The equality of these expressions, a(b + c) = ab + ac, is the distributive property.

The expression that shows the length and width of the rectangle in distributive format is 3(x + 5) = 3x + 15 and this can be determined by using the distributive property.

Given :

A rectangle with length x plus 5 and width 3.

The distributive property is given by:

a(b + c) = ab + ac

The above expression is known as the distributive property. Where a, b, and c represents the three different variables.

So, according to the given data, the length of the rectangle is (x + 5) and the width of the rectangle is 3.

The expression shows the length and width of the rectangle in distributive format.

3(x + 5) = 3x + 15

The above expression also represents the area of the rectangle.

Therefore, the correct option is C).

For more information, refer to the link given below:

https://brainly.com/question/11338001

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