Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
O x + y = 29, 5x + 2y = 100
x + y = 100, 5x + 2y = 29
5x + y = 29, 2y + x = 100
O 2x + y = 100, 5y + x = 29

Answers

Answer 1

Answer:

Step-by-step explanation:

From the conditions given, the total number of the problems should be 29. This means that the sum of x and y should be 29. With this and the point-system, the best system of equation that is useful for this problem is,

x + y = 29

5x + 2y = 100

The answer is the second choice.

Answer 2

Answer:

The correct answer is A

A. x + y = 29, 5x + 2y = 100

Related Questions

What is the slope of the line that passes through the points (-2,8) and (-22,8)

Answers

Answer: m = 0

Step-by-step explanation:

Answer:

m=0

Step-by-step explanation:

The slope formula is: m=y1=y2/x2=x1

where (x₁, y₁) and (x₂,y₂) are the points on the line.

The points given are (-2,8) and (-22,8). Therefore,

x1=-2

y1=8

x2=-22

y2=8

Substitute the values into the formula.

m=8-8/-22-2

Solve the numerator. Subtract 8 from 8.

m=0/-22+2

Zero divided by any number is zero, so we automatically know the slope is zero.

m=0

The slope of the line is 0

A house cast a 10 foot shadow. A 5 foot boy castsa 4 foot shadow.
5 feet
10 feet
4 feet
feet
How tall is the house?

Answers

11 feet I think, hope this helps

what is 10 times smaller than 0.6

Answers

Answer:

0.06

Step-by-step explanation:

The answer is 0.06 because you are moving the number behind the decimal 10 times

Plz help I’m not good with math!!

Answers

Answer:

point slope, slope intercept form, and I think two point

Which measurements could not represent the side lengths of a right triangle?
A 6 cm, 8 cm, 10 cm
B 12 cm, 35 cm, 37 cm
C 4 cm, 6 cm, 10 cm
D 10 cm, 24 cm, 26 cm
6,8,10

Answers

I think the correct answer is c

Answer:

Step-by-step explanation:

It says COULD NOT so you just compare them. 10+4=14 so thats one side

6+10=16 so another side BUT 6+4=10 so that automatically cancels out the last side because it is equal to 10. It has to be above 10. So C is te correct answer.

Emily bought 2 burgers and 4 drinks for $20. Deja bought 2 burgers and 2 drinks for $14. What was the cost of each burger and each drink? HURRY IN TEST RN

Answers

Burgers cost $4
Drinks cost $3

solve for z −cz+6z=tz+83

Answers

Answer: z=83/c - 7 + t

Step-by-step explanation:

HALP MEEEE

Function y=x+4 is _ than the function in the table
A. Greater than
B. Less than
C. Equal to

Answers

The answer to your question is c

DOK Nitter Email You might need: Calculator Find the area of a circle with a radius of 8. Either enter an exact answer in terms of or use 3.14 for and enter your answer as units2

Answers

Answer:

about 201.06

Step-by-step explanation:

what's the c ??
easy question solve it and get points...
hints : a is 116 and b is 64

Answers

Answer:

64 degrees

Step-by-step explanation:

It is the same amount of degrees as the original one.

Kate wants to spend less than $100 per day to rent a car. A car rents for $45 per day plus $0.25 per mile. Write, solve, and graph an inequality for the amount of miles she is able to drive while staying within her budget.

Answers

Money to be spent per day <$100
To rent a car:
Minimum amount per day= $45
Amount per mile= $0.25

Hence amount spent depends on distance travelled.
If distance travelled= x; fee for travel= 0.25x

Hence finally we need the fare to be less than $100
And fare is $45+0.25x

So the final inequality is 0.25x+45<100.

Hope it helps.

Como pasar una potencia de negativa a positiva ?

Answers

Answer:

Cuando tenemos un exponente negativo hay que INVERTIR LA BASE para pasar a exponente positivo. Fíjate que el poner el inverso de la base no significa cambiar el signo de la misma. Al final el signo del resultado dependerá de si el exponente es par o impar. Con las fracciones ocurre lo mismo.

y=x+2 y=-3X

solve system of equations algebraically

Answers

Answer:

(x,y) = -1/2 , 3/2

Step-by-step explanation:

Let y = x +2 ----- (1)

y = -3x ------ (2)

Put equal both sides x +2 = -3x

x = -3x -2

x +3x = -2

4x = -2

x = -1/2 Put it in 2nd equation

Y = -3 (-1/2)

y = 3/2

so (x,y) = -1/2 , 3/2

Hope you got it.

Please Mark as Brainliest.

I need help ASAP ???

Answers

the answer is Y=-3/4x +2 :)

Please help me smart people!!!!! It would be realllllyyyyy helpful right now!!!!!!

(Geometry) pls answer the problems in the photo!

Answers

9. 2/6 and in simplified form it’s 1/3
10. 10/4 simplified is 5/2
11. 8/2 simplified is 4/1
12. 7/7 which is 1
13. Has no slope
14. 4/7

2. 3 2/5 ÷ 4/5
HELP PLS I NEED THE ANSWER

Answers

4.25 is DECIMAL FORM

17/4 is exact form

4 1/4 is mixed form

HOPE THIS HELPS :)

Two percents are shown below:
1. 25% of 60
2. 10% of 150
Are these amounts equivalent? Explain why or why not.

Answers

Yes, if you multiply 25 % by 60, the answer is 15.

Multiply 10% by 150, the answer is 15.

Mrs. Smith uses an automatic bill pay service to pay their monthly electric bill. So far this
year they have paid $843.36 over 8 months. How much has Mrs. Smith paid per month?

Answers

I think the answer is $105.42 per month

PLEASE HELP I don’t k is the answer

Answers

Answer:

Step-by-step explanation:

prove that the sides with measures 10cm 8cm and 6 cm are the sides of right angled triangle??

Answers

Answer:

3 4 5 rule applies ie 10÷2 8÷2and 6÷2

and finding the equation pls!

Answers

Answer:

Step-by-step explanation:

y = x + 5

(0,5)

(1, 6)

(3,8)

(5, 10)

The sum of four and the product of three and a number x

Answers

Answer:

4+3x

Step-by-step explanation:

4+3x

y-3x=-2 and 7x- 2y=8

Answers

Answer:

thx for the free

Step-by-step explanation:

1. Slope intercept form is 2
2. Slope intercept y=7/2x-4

what is slope intercept

Answers

Answer:

Slope Intercept is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

Step-by-step explanation:

You have 96 grams of a radioactive kind of vanadium. How much will be left after 32 days if it’s half life is 16 days?

Answers

Answer:

Step-by-step explanation:

Im really dumb i need help and can you also explain it

Answers

Answer: 11.67

Proportion:

12 = x
— —
6 5

Cross multiply.

70= 6x
Divide each side by 6

X= 11.67

What is 6825x25 please help

Answers

Answer:

170625

Step-by-step explanation:

170,625.................

Helppp!!!
37.37 x 7.6

Answers

Answer:

284.012

Step-by-step explanation:

Hope this awnsers your question!

Answer:

284.012

Step-by-step explanation:

(20 points) A random sample of =1200 n = 1200 registered voters and found that 620 would vote for the Republican candidate in a state senate race. Let p represent the proportion of registered voters who would vote for the Republican candidate. Consider testing 0:=.50 H 0 : p = .50 :>.50 H a : p > .50 (a) The test statistic is z =

Answers

Answer:

The test statistic is Z = 1.157

Step-by-step explanation:

Given that:

The sample size n = 1200

The sample proportion of those that will vote for the Republican candidate is represented by [tex]\hat p = \dfrac{x}{n}[/tex]

[tex]\hat p = \dfrac{620}{1200}[/tex]

[tex]\hat p =0.5167[/tex]

The null and the alternative hypothesis can be computed as:

[tex]H_o: P=0.50 \\ \\ H_a :P>0.50[/tex]

The formula for the one-sample Z-test for the population proportion can be expressed as:

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

[tex]Z = \dfrac{0.5167 - 0.5}{\sqrt{\dfrac{0.5(1-0.5)}{1200}}}[/tex]

[tex]Z = \dfrac{0.0167}{\sqrt{\dfrac{0.5(0.5)}{1200}}}[/tex]

[tex]Z = \dfrac{0.0167}{\sqrt{\dfrac{0.25}{1200}}}[/tex]

[tex]Z = \dfrac{0.0167}{\sqrt{2.08333333\times10^{-4}}}[/tex]

Z = 1.157

Testing the hypothesis, from the information given, it is found that the test statistic is z = 1.157.

The null hypothesis is:

[tex]H_0: p = 0.5[/tex]

The alternative hypothesis is:

[tex]H_1: p > 0.5[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

For this problem, the parameters are: [tex]p = 0.5, n = 1200, \overline{p} = \frac{620}{1200} = 0.5167[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.5167 - 0.5}{\sqrt{\frac{0.5(0.5)}{1200}}}[/tex]

[tex]z = 1.157[/tex]

The test statistic is z = 1.157.

A similar problem is given at https://brainly.com/question/24166849

There are 1,620 minutes of music to be put on 9 CD's. If the same number of minutes fits on each CD, how many minutes of music fit on each CD?

Answers

Answer:

180 minutes

Step-by-step explanation:

take 1,620 divide it by 9 and there is your answer

hope this helped

Answe: 180 minutes

Step-by-step explanation

you divide 1,620 divide it by 9 and there is your answer

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