How many problems of each point value are on the test? 10 problems worth 5 points and 25 problems worth 2 points 14 problems worth 5 points and 15 problems worth 2 points 16 problems worth 5 points and 13 problems worth 2 points 15 problems worth 5 points and 13 problems worth 2 points.

Answers

Answer 1

The question is an illustration of system of equations

There are 14 problems worth 5 points and 15 problems worth 2 points

The system of equations is given as:

[tex]x + y = 29[/tex]

[tex]5x + 2y = 100[/tex]

Make x the subject in [tex]x + y = 29[/tex]

[tex]x = 29 - y[/tex]

Substitute 29 - y for x in [tex]5x + 2y = 100[/tex]

[tex]5(29 - y) + 2y = 100[/tex]

Open brackets

[tex]145 - 5y + 2y = 100[/tex]

Evaluate like terms

[tex]145 - 3y = 100[/tex]

Collect like terms

[tex]- 3y = 100-145[/tex]

Evaluate like terms

[tex]- 3y = -45[/tex]

Divide both sides by -3

[tex]y = 15[/tex]

Substitute 15 for y in [tex]x = 29 - y[/tex]

[tex]x = 29 - 15[/tex]

[tex]x = 14[/tex]

This means that there are 14 problems worth 5 points and 15 problems worth 2 points

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Related Questions

factor the expression 14x - 21 using the GCF

Answers

you have to factor out the 7 because it goes into both 14 and 21. then you put the quotients from dividing into parentheses.

Johnathan is driving from Houston to Seattle. After 3 hours, he has traveled 150 miles. After 7 hours, he has traveled 350 miles. This information is also represented in the table below.

Driving Time

Time (hr) Distance (miles)
3 150
7 350
10 500

What is Johnathan’s average rate of speed?

Answers

Answer:

50mph

Step-by-step explanation:

first divide 150 by 3 and you get 50

then divide 350 by 7 you get 50

and finally divide 500 by 10 and you get 50

Frank and Chris both took the ABC achievement test, which is N(950,50). If frank had a z-score of 2.5 and Chris had a
score of 675, how much higher was Frank's score?
1075
1700
400
525
none of the above

Answers

Answer:  C) 400

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

Explanation:

The notation N(950,50) tells us that we have a normal distribution with the following parameters:

mu = 950 = meansigma = 50 = standard deviation

Use the z score z = 2.5 to convert to its raw score x

z = (x-mu)/sigma

2.5 = (x-950)/50

2.5*50 = x-950

125 = x-950

x-950 = 125

x = 125+950

x = 1075

Frank's z score of z = 2.5 corresponds to the actual score of x = 1075. This is 1075-675 = 400 points higher than the score Chris got.

Which is the graph of 2x + 3y > -3
Graph: C

Answers

graph c is correct becausw
Graph c because is the best answer

Simplify. Pls help really need help

Answers

Answer:

the answer is 5a

Step-by-step explanation:

Please not answer just for points! I really need help~

Answers

Answer:

All I know is that it is the   Last  Option

Step-by-step explanation:

I did most of this mentally but I can kinda help you out :D

original R: (-5,-5)     New R: (-11,-11)

To go back to original R: (-11+6, -11+6)

original U: (-5, 1)        new U: (1,7)

HOPE THIS HELPEDDDD :333

HELP HURRY PLS

What is the equation of this line?
y =2/3x
y=3/2x
y= -2/3x
y= -3/2x

Answers

Answer:

y = 2/3x

Step-by-step explanation:

Can someone please help me with this? Tysm!! ^^

Answers

Answer:

90 feet

1080 inches

Step-by-step explanation:

I hope it helps you!

How many feet is this?
90 feet
How many inches is this?
1080 inches

Zoe charges £9 per student to attend a dance class. There are y students in the class.

a . Write an expression for the total amount she charges for a class.

b. How much does she charge for 5 students?

c. How many students must she have in the class to make £72?

Answers

a. 9y ( 9 x y)

b. 9(5) - She charges 45$ for 5 students

c. 9y= 72
y = 72/9
y = 8

She must have 8 students in her class.

“write each number as a percent”
6 and 1/2 ( mix number)
Help please

Answers

Answer:

650%

Step-by-step explanation:

Since percent means "out of one hundred", we can use that to find out the answer6 would be 600 percent, and 0.5 would be 50 percentTherefore, the answer would be 650%

2) (x8y2)(x3y11)
a) xlly13
b) x24y22
c) xSy
d) 1

Answers

It’s a, x11y13 djdhdh

Answer:

the answer would be A.)

Step-by-step explanation:

Given −7 is one of the roots of the quadratic equation
(x + k)2 = 16, where k is a constant, find the values of k.

Answers

Answer:

  k = {3, 11}

Step-by-step explanation:

Taking the square root of the given equation, we find ...

  x +k = ±4

For x = -7, this is ...

  -7 +k = ±4

  k = 7 ±4 = {3, 11}

Possible values of k are 3 and 11.

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

Taking square root on the both sides of equation (x + k)² = 16 we get,

[tex]\implies\rm{( {x + k)}^{2} } = 16[/tex]

[tex]\implies\rm{x + k = ± 4}[/tex]

Making two conditions for ± 4 i.e

1) x + k = 4

[tex]\implies\rm{ - 7 + k = 4}[/tex]

[tex]\implies\rm{k = 4 + 7}[/tex]

[tex]\implies\rm{k = 11}[/tex]

2) x + k = -4

[tex]\implies\rm{ - 7 + k = - 4}[/tex]

[tex]\implies\rm{k = - 4 + 7}[/tex]

[tex]\implies\rm{k = 3}[/tex]

Thus the values of k can be either 11 or 3.

What is meant by a stratified sample?

Answers

Answer:

A stratified random sampling involves dividing the entire population into homogeneous groups called strata (plural for stratum). Random samples are then selected from each stratum. ... A random sample from each stratum is taken in a number proportional to the stratum's size when compared to the population.

Answer:

Sampling that is used to represent different groups depending on their different qualities.

Hope that helps. x

Which postulate or theorem can be used to prove the triangles congruent?

a) ASA
b) SAS
c) AAS
d) SSS
e) cannot be proved congruent

Answers

Answer:

D) SSS

Step-by-step explanation:

They have 3 sides that are congruent to each other. We don't know anything about the angles.

Translate. Eight less than the difference of a number and five is twelve.

Answers

Answer:

(x - 5) - 8 = 12

Step-by-step explanation:

Lets portion each part out:

Eight less than

The difference of a number and five

Is twelve.

First, we must write down the portion with "a number" in it: x - 5. We use subtraction because the sentence states "the difference".

Next, we will write down "eight less than". The problem states that twelve is "eight less than" the difference. This means that we must subtract 8 from out first part: (x - 5) - 8

Finally, the sentence tells us that this equals twelve: (x - 5) - 8 = 12

y=-1/2x+5/2 Find the slope

Answers

Answer:

Here is a pic hope this helps! <3

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

y=-1/2x+5/2

y=mx+b

m=slope

m=-1/2

it takes 5 days to repair 1250 meters of road.

At this rate, how many days will it take to repair 8 kilometers of road?

Answers

Answer:

2000 Meters

Step-by-step explanation:

First, DIvide 1250 by 5 and you get 250. Multiply by 8 and you get 2000.

The answer is 32 days

8 kilometres is 8000 meters

We know that 1250 meters takes 5 days, so we can work out how many times 1250 goes into 8000 to find out how many times longer it will take


8000 / 1250 is 6.4

It will take 6.4 times longer to produce 8km

6.4 x 5 is 32

32 days

Write as an equation and solve: Eight less than the number is 31.

Answers

Step-by-step explanation:

x is the number

so, the equation is

x - 8 = 31

x = 39

Answer:

n is the number

Step-by-step explanation:

n-8=31

n = 39

hoped that helped:P

A line passes through the points (8, -1) and (-4, 2).
10
8
6
4
-10 -3 -6 6 -2
2
4
6
8
10
X
4
-6
do
8
-10
What is the y-intercept of this line?

Answers

Answer:

The y-intercept of this line is 1 (or  (0, 1)  )

Step-by-step explanation:

Going from (8, -1) to (-4, 2), the x-coordinate decreases by 12 and the y-coordinate increases by 3.  Thus, the slope of this line is m = rise/run = 3/(-12), or m = -1/4.

Let's use this information (x = 8, y = -1, m = -1/4) and the slope-intercept formula y = mx + b to find the y-intercept (b):

-1 = (-1/4)(8) + b, which simplifies to -4 = -8 + 4b.  Solving for b, we get

4 = 4b, so that b must be 1.

The y-intercept of this line is 1 (or  (0, 1)  )

The scale for an
airplane is 1 cm
for 15 feet. If the
plan is 9 cm
long, how long is
the actual plane?

Answers

Answer:

  135 ft

Step-by-step explanation:

Each centimeter represents 15 feet, so 9 centimeters will represent ...

  9 × 15 ft = 135 ft

The plane is 135 feet long.

check whether the given fraction are equivalent
a) 7 /13 ,5/11

Answers

Answer:

No

Step-by-step explanation:

Not equivalent

7/13 ≠ 5/11

help please?????????​

Answers

Answer:

A, to B, to D,

or A, to E, to C, to D

Step-by-step explanation:

1. Rosie orders dessert at the cafe. The total bill is $50. She tips the waiter 10%.
How much money does the waiter get?

Answers

Answer:

5

Step-by-step explanation:

this means it'll be $55

A line has a slope of 0 and passes through the point (10, 2). What is its equation in slope intercept form?

Answers

Answer:

y = 10

Step-by-step explanation:

y = m x + C, where m is the slope and c is the intercept on the y axis. Plugging in the values of m and C, we get: y = 0 x + 10 = 0 + 10 = 10. Therefore, y = 10.

The equation of line that passes through the point P ( 10 , 2 ) and has a slope of 0 is y = 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the point be represented as P ( 10 , 2 )

And ,let the slope of the line be m = 0

Slope m = 0

Now , the equation of line is given by the formula y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 2 = 0 ( x - 10 )

On simplifying the equation , we get

y - 2 = 0

Adding 2 on both sides of the equation , we get

y = 2

Therefore , the value of A is y = 2

Hence , the equation of line is y = 2

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#SPJ2

A) by AA similarity
B) by sas similarity
C)Not enough information
D) by sss similarity




Please see the photo



Please don't answer randomly because if you answer randomly you are gonna lose points

Answers

Answer: b

Step-by-step explanation:

Answer: It's yes and (D) SSS because all the angles are side side side and all have the same angles but one's smaller while the other is bigger but that doesn't change anything. :)

Step-by-step explanation:

Sarah is buying gifts for her friends. She is purchasing phone cases and chargers. The phone cases cost $25 and the charges cost $30. She

plans on spending no more than $100 and wants to buy at least 4 gifts. Which inequalities would be used to model this situation?

Answers

Answer:

Step-by-step explanation:

Let P be the number of phone cases and C the number of chargers.

p($25) + C($30) ≤ $100

and

P + C ≥ 4

If 12g of a radioactive substance are present initially and 8yr later only 6g remain, how much if the substance will be present after 13 years?

Answers

The weight of substance remaining after 13 years is 2.25 g.

Given:

Present weight of substance = 12 g

After 8 years weight remains = 6 gm

Now, weight loss in 8 year will be,

12-6=6 gm

So, weight loss in 1 year will be,

[tex]\dfrac{6}{8} =\dfrac{3}{4}[/tex]

Total weight loss in 13 year will be,

[tex]\dfrac{3}{4}\times13=9.75[/tex]

The weight of substance remaining after 13 years will be,

[tex]12- 9.75 = 2.25 \;\rm g[/tex]

Therefore, the weight of substance remaining after 13 years is 2.25 g.

To know more about radioactive decay, refer to the link:

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HELP FAST (x+y+2)(y+1) REWRITE IN AN EQUATION

Answers

Answer:

xy+x+y^2+3y+2

Step-by-step explanation:

Find the slope of each line.
1)

Answers

Answer:

7/1 or 7

Step-by-step explanation:

because you rise (vertically) seven and run (horizontally) 1, so 7/1 but simplified it's just 7 so either is valid.

Factorize (x-y)^2+(x-y)​

Answers

..............answer..

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