Solving a Real-World Problem
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.
x + y = 29, 5x + 2y = 100
x + y = 100, 5x + 2y = 29
5x + y = 29, 2y + x = 100
2x + y = 100, 5y + x = 29

Answers

Answer 1

Answer:

x + y = 29

5x + 2y = 100

Step-by-step explanation:

Here, we want to set up equations

There are 29 problems, so adding up the number of individual problem types will give 29

x + y = 29 ••••••(i)

Let us work with points now;

x is worth 5 points, y is worth 2 points

Thus, mathematically;

5x + 2y = 100 ••••••••••(ii)

Answer 2

Answer: A. x + y = 29, 5x + 2y = 100 and the other one is B. 14 problems worth 5 points and 15 problems worth 2 points


Related Questions


Please Help Me
Find the premiter of the semi circle l. Round to the nearest hundredth ( use Pi key)​

Answers

Answer:

circumference of a circle = πd

π12 = 37.6991118

37.6991118/2 = 18.8495559

18.8495559 + 12 = 30.8495559

perimeter = 30.85

What is the length of AB?
12 units
6
6 units
4
2
14 units
B
-8
-6
-4
-2
0
BX
-2
10 units
4
А
-6-

Answers

Answer:

12

Step-by-step explanation:

i counted 12 units from A to get to B

Answer:

I took the diagnostic and I don't know what it was. I wish they would tell you. But I think 14.

Iliana multiplied 3p – 7 and 2p2 – 3p – 4. Her work is shown in the table.

The expression (3 p minus 7)(2 p squared minus 3 p minus 4) is shown above a table with 3 columns and 2 rows. First column is labeled 2 p squared, second column is labeled negative 3 p, the third column is labeled negative 4. First row is labeled 3 p with entries 6 p cubed, negative 9 p squared, negative 12 p. Second row is labeled negative 7 with entries negative 14 p squared, 21 p, 28.
Which is the product?

6p3 + 23p2 + 9p + 28
6p3 – 23p2 – 9p + 28
6p3 – 23p2 + 9p + 28
6p3 + 23p2 – 9p + 28
Which is the product?

6p3 + 23p2 + 9p + 28
6p3 – 23p2 – 9p + 28
6p3 – 23p2 + 9p + 28
6p3 + 23p2 – 9p + 28

The expression 3x3 should be 3x2.
The expression 6x should be 6xy.
The expression x2y should be x2y2.
The expression 4y should be 4y2.

Answers

Answer: Answer Is C

Step-by-step explanation: Did the Quiz test thing

Answer:

C. 6p3 – 23p2 + 9p + 28

Step-by-step explanation:

edge

what is the speed of a bowling ball that travels 100 meters in 5 seconds

Answers

20 meters per second or 20 mps

HElp PLZ DUE RIGHT KNaw

Answers

Answer:

variables :)

Step-by-step explanation:

Answer:

[tex]....8. \to \: b) \: \: 3 \\......................9. \to \: c) \: coefficients \\............... 10. \to \: d) \: variables[/tex]

6|X– 3|+10=52
X= or x=

Answers

Answer:

x = 10, -4

Hope this helped!

What expression -5+(-5r)+10​

Answers

The answer for the question is -5r+5

Does this table represent a proportional relationship?

A) Yes
B) No

Answers

the answer is A yes it shows a proportional relationship

Subject:Mathematics ​

Answers

The vertex
Blah blah blah 20 characters longggggg

Can someone solve the joke please?

Why did the new boy steal a chair from the classroom?

Answers

Answer:

Because the teacher told him  to take a seat.

Answer:

Lol. Because the teacher told him to take a seat.

Sadie's sweets is having a sale on all their baked goods they are regularly priced at $4 but they are marked down to $2.6 what percent off are they​

Answers

Answer:

35% off

Step-by-step explanation:

= |4 - 2.6|/((4 + 2.6)/2) = 1.4/3.3 = 0.42424242424242 = 42.424242424242%

Percentage of decrease = |4 - 2.6|/4 = 1.4/4 = 0.35 = 35%

2.6 is a 35% decrease of 4.

35% off

Explanation: 30%= 0.30
4 times 0.30= 1.4
4-1.4= 2.6

Which is the better value?

A. 6 ounces of hot Cheetos for $2.16
B. 10 ounces of hot Cheetos for $2.70

Answers

A. 6 ounces of hot cheetos

Answer:

B

Step-by-step explanation:

2.16/6 = 0.36 cents per 1 ounce

2.70/10 = 0.27 center per 1 ounce

Therefore B. 10 ounces of hot Cheetos for $2.70

PLEASE HELP MEEEEEEE

Answers

Answer: 50

Substitute 0 for x

Y = 75(0)+50

Y= 50

A function represented by the equation y=1/3x + 4 is a graph on a coordinate plane. What will happen to the line if the slope is changed to 2/3?

Answers

Answer:

Graph of the new function will be vertically stretched by 2 units.

Step-by-step explanation:

A linear function is represented by the equation, y = [tex]\frac{1}{3}x+ 4[/tex]

This function has the slope = [tex]\frac{1}{3}[/tex] and y-intercept = 4

If this function is stretched vertically by 'k' the the equation of the new function will be,

y = [tex]a(\frac{1}{3})x+ 4[/tex]

y = [tex]\frac{a}{3}x+4[/tex] ---------(1)

If the slope of this equation is changed to [tex]\frac{2}{3}[/tex],

New equation of the function will be,

y = [tex]\frac{2}{3}x+4[/tex] ---------(2)

Comparing equations (1) and (2),

a = 2

Therefore, graph of the new function will be stretched vertically by 2 units.

how is 1/5 changed to a decimal​

Answers

Answer:

just divide 1/5 by 100 and you should get it

Step-by-step explanation:

What is 352 beats in 4 2/5 minutes please help and tell me step by step please

Answers

Answer:

352/4.4 =80

Got it?

Please give me Brainly

Given f(x) = - 2x + 5 and g(n) = 3n - 2, evaluate one of the functions with the indicated value f(-3) and explain your answer
[A] f(-3) = -1
[B] g(-3) = - 11
[C] f(-3) = 11
[D] g(-3) =7

Answers

Answer:

[C] f(-3) = 11

Step-by-step explanation:

f(x) = - 2x + 5f(-3) = - 2(-3) + 5f(-3) = -(-6) + 5f(-3) = 6 + 5 =11

can someone help pleaseee its due soon

Answers

Answer:

10

Step-by-step explanation:

Determine whether the function is linear or nonlinear. Explain
helppppppppp

Answers

Answer:

A linear function follows a constant rate of change Here we see x moves by 4 units and that y decreases by 4 units then suddenly changes to 6 units hence 13 Is Not A functionFor 12, it is a function because it follows a consistent rate of change which is x or one unit of change.

Answer:

12) The function is linear.

13)  This function is not linear.

Step-by-step explanation:

13) A linear functions equation must be in y = mx + b form

When you graph the table there is no y = mx + b equation that makes a line that passes through all the points.

Round your answer to the nearest tenth.

Answers

Answer:

The value of MB = 8.4

Step-by-step explanation:

We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.

Thus,

For the given triangle ΔJKL,

The point M is the centroid of the triangle.

We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.

Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.

In our case,

The median KB is split into two parts such that the longer part KM is 2 times the length of the smaller part MB.

i.e.

KM = 2 MB

Given KM = 16.8

so substitute KM = 16.8 in the equation KM = 2 MB

16.8 = 2 MB

MB = 16.8/2

MB = 8.4

Therefore, the value of MB = 8.4

or false if that was worried and simplify to say it was a slave through his own curiosity and I was worried because of the fact I have had been working in my last three months but the following x are the

Help plz i hate this but everytime I do this I get it worng

Answers

Answer:

The answer is 19.25

Step-by-step explanation:

Key skills needed: Fraction operations, decimal conversion

1) We are given the hint to use 9 as "b", and we get:

---> [tex]a = \frac{16}{8}(9) + \frac{10}{8}[/tex]  

Let's do  [tex]\frac{16}{8}(9)[/tex]

--> [tex]\frac{16}{8}[/tex] is the same as [tex]16[/tex] ÷ [tex]8[/tex]

16 divide by 8 is 2.

2) This means that it would be  ---> [tex]2(9)[/tex]  which is simply 2 times 9.

2 times 9 = 9 + 9 = 18

3) With that result, it would be  ---> [tex]a = 18 + \frac{10}{8}[/tex]

Now, do [tex]\frac{10}{8}[/tex] (10 divided by 8)  ---> Get 1.25

4) 18 + 1.25 = 19.25, so --> [tex]a = 19.25[/tex] is the answer

Hope you understood and have a nice day!!   :D

Which postulate make the triangle congruent.?? help please

Answers

If you need help I can help you I did this before it’s q

what is ratio of the area of the larger pizza to the area of the smalles pizza ? 12 in to 18 in pizzas ?

Answers

Answer:

18/12= 1.5

Step-by-step explanation:

divide the larger inch by the smaller one so we get a ratio of 18:12

or 1.5:1

where the bigger one is 1.5 times larger for every inch of smaller pie

When is the slope intercept form only y= mx and not y = mx+b?

Answers

Answer:

No Y-Intercept

Step-by-step explanation:

The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.

Simplify the polynomial using multiplication.

−5b(2a−3a2)


−10a+3ba^2

−10ba+15ba^2

−5b+2a−3a^2

10ba−15ba^2

Answers

Answer:

−10ba+15ba^2

Step-by-step explanation:

The product of the given monomial and binomial is -10ab+15a²b.

The given expression is −5b(2a−3a²).

We need to simplify the polynomial using multiplication.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Binomials are also a kind of polynomials consisting of only two terms. A binomial is defined as an algebraic expression consisting of two terms that are separated by the arithmetic signs, either the addition sign (+) or the subtraction sign (-). When multiplying a monomial by a binomial, we follow the distributive law of multiplication.

Now, 2a×(−5b)−3a²×(−5b)

=-10ab+15a²b

Therefore, the product of the given monomial and binomial is -10ab+15a²b.

To learn more about the multiplication of polynomials visit:

https://brainly.com/question/17419800.

#SPJ2

click to see the problem

Answers

Answer:

C is your correct answer i think

Step-by-step explanation:

I think the answer would be C

(a) The diagram shows a circle, centre 0. AB and CD are chord.
Given that OM = 8 cm, NT = 3 cm, AB = 30 cm.

(1) Calculate the radius
(2) Calculate the length of CD​

Answers

Answer:

1) Radius = 17 cm

2). CD = 19.3 cm

Step-by-step explanation:

1). O is the center of the given circle.

 By joining the center and point A located at the circumference of the circle,

 OA = radius of the circle.

 Length of chord AB = 30 cm

 "Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"

  By the given property, OM equally divides the chord AB.

 AM = MB

 AM = [tex]\frac{1}{2}(AB)[/tex]

 AM = [tex]\frac{10}{2}[/tex] = 5 cm

 By applying Pythagoras theorem in ΔOAM,

 AO² = OM² + AM²

 AO² = 8² + 15²

 AO =  √289

 AO = 17 cm

 Therefore, radius of the circle = 17 cm

2). Since, OT, OC and OA are the radii of the given circle,

  OT = OC = OA = 17 cm

  ON = OT - NT

         = 17 - 3

         = 14 cm

   By applying Pythagoras theorem in ΔOCM,

   OC² = ON² + CN²

   17² = 14² + CN²

   CN = [tex]\sqrt{(17^2-14^2)}[/tex]

         = [tex]\sqrt{93}[/tex]

         = 9.64 cm

     Since, CD = 2(CN)

      CD = 2 × 9.64

             = 19.29 cm

              ≈ 19.3 cm

Can’t pls help me with this question

Answers

Answer:

Let

Total number of people (T)=1600

those satisfied with the car (t) =720

The percentage of the satisfied people(S)= number of satisfied people divided by the total number of people who took part in the survey, multiplied by 100

=> S=(T/t)*100

S=(720/1600)*100

S=45%

Step-by-step explanation:

Jen has 1 chocolate bar she is sharing with her friend, Joe. Jen takes 2/3 of Joe’s piece. What’s Joe’s current piece?

Answers

Answer:1/3

Step-by-step explanation:

If Jen has 1 chocolate bar means that he has 3/3 whole .If he gives 2/3 then he will be left with 1/3 part of the chocolate bar.

what does m2+ m3= ???????????

Answers

Answer:

M2+m3=90

Step-by-step explanation:

Angle 1 already is equal to 90. A triangle can only go up to 180 wo the other two angles have to add up to 90.

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