1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leona [35]
3 years ago
10

Matthew has recorded the amount he's saved every three months. Months Savings 3 $1,800 6 $3,600 9 $5,400 Christopher saves $550

every month. Assume that Matthew and Christopher both save money at constant rates. Whose unit rate is higher, and by how much?
Mathematics
2 answers:
sammy [17]3 years ago
6 0
The <u>correct answer</u> is:

Matthew's rate is higher by $50 per month.

Explanation:

We know that Christopher's rate is $550 per month.

To find Matthew's rate, we will treat the data we have as ordered pairs:
(3, 1800)
(6, 3600)
(9, 5400)

We find the slope of the line between these points.  The formula for slope is:

m=\frac{y_2-y_1}{x_2-x_1}

Using the first two points, we have:
m=\frac{3600-1800}{6-3}=\frac{1800}{3}=600

To verify Matthew saves the same amount each month, we will find the slope between the second two points and make sure they're the same:

m=\frac{5400-3600}{9-6}=\frac{1800}{3}=600

Matthew's rate is $600 per month.
This is higher than Christopher's by 600-550=$50 per month.
MArishka [77]3 years ago
3 0

Answer:

The answer is Matthew's savings per month is higher than Christopher's savings per month by $50 per month.

Step-by-step explanation:


You might be interested in
What statement is true?
givi [52]

Answer:

\frac{18}{32}>\frac{16}{32}

Step-by-step explanation:

We need to find which statements are true.

Solution to find the same we will solve each statement and will conclude the same.

1.  \frac{14}{21}>\frac{17}{24}

Now On solving we get;

\frac{14}{21} = 0.66

\frac{17}{24}=0.70

So we can see that 0.70 > 0.66

Hence The given statement is False.

2. \frac{18}{32}>\frac{16}{32}

Now On solving we get;

\frac{18}{32}=0.5625

\frac{16}{32}= 0.5

So we can see that 0.5625 > 0.5

Hence The given statement is True.

3.  \frac{20}{15}

Now On solving we get;

\frac{20}{15} = 1.33

\frac{28}{23}=1.2

So we can see that 1.33 > 1.2

Hence The given statement is False.

4.  \frac{29}{35}

Now On solving we get;

\frac{29}{35}= 0.82

\frac{20}{30}= 0.66

So we can see that 0.82 > 0.66

Hence The given statement is False.

7 0
3 years ago
#4 need help with this one
4vir4ik [10]

Answer:

x = 25.6

Step-by-step explanation:

As we can see, this is a right triangle, so there are known relationships

well to start we have to know the relationship between angles, legs and the hypotenuse

α = 43

a: adjacent  = x

o: opposite

h: hypotenuse  = 35

sin α = o/h

cos α = a/h

tan α = o/a

we see that it has (angle, adjacent, hypotenuse)

cos α = a/h

cos 43° = x / 35

cos 43° * 35 = x

25.59 = x

if we want to round to the nearest tenth

x = 25.59 = 25.6

4 0
3 years ago
Read 2 more answers
What should be subtracted from 3x to Gate 3 X - 2y​
castortr0y [4]

Answer:

3x-2y

Step-by-step explanation:

2y must be subracted

3 0
3 years ago
Solve the quadratic equation for x in the simplest equation -6x^2+15x+9=0
Alexus [3.1K]

Answer:

x = 3, -1/2

Step-by-step explanation:

Use the quadratic formula:  x = [-b ± √b² - 4ac]/2a

The square root sign should be over the entire expression b² - 4ac

In this problem, a = -6, b = 15, and c = 9

So, putting in those values, we get x = -15 ± √225+216, all divided by -12

Simplifying further, we get -15 ± 21 all divided by -12, or -36/-12 = 3 OR

6/-12 = -1/2

6 0
3 years ago
Question 1
Alex777 [14]
Riki ...
Most questions on Brainly offer 5 points in return for answering one question,
but here you've listed five of them to be answered for 5 points.  That's kind of
much.
Also, it's not clear what cylinders Question-2 and Questioin-3 refer to. 
They might be the two pictures under the question, but we don't rally know.
Fortunately, all five of your questions are answered with the same formula ...
the formula for the volume of a cylinder.
Here it is:

         Volume of a cylinder = ( π ) · (radius)² · (height or length)  .

                                       V  =  π  R²  H  .

That's it.  That's all you need to answer any or all of the five questions.
So I've actually given you everything you need to answer them, and in
doing that, I've already earned 5 points.  But, being the ever helpful guy
that I am, I'll work out two of the questions for you, to show you how to
use the formula.

Question #1).  <span>A cylinder has a radius of 14 m and a height of 6 m.

              </span>Volume  =  π  R²  H 

                           =  (π)  (14m)²  (6m)

                           =  (π)  (196m²)  (6m)

                           =      1,176 π  m³  =  71,763,930 π in³

(Notice how confusingly and sloppily the question is written . . .
the dimensions of the cylinder are given in meters, but the
answer choices are listed in cubic-inches.  I've shown the
answer in both units.)

Question 5).  <span>A can has a radius of 2.8 feet and holds 86.21 cubic feet.

           </span><span>Volume  =  π  R²  H

           86.2 ft³  =  π (2.8 ft)² (Height)

            86.2 ft³  =  π (7.84 ft²) (Height)

           Height  =  (86.2 ft³) / (7.84 π ft²)

                        =         3.5 ft

</span>
5 0
3 years ago
Other questions:
  • How can patterns be used to determine products of a number and a power of 10?
    8·2 answers
  • One random question! :)
    5·2 answers
  • If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x).
    11·1 answer
  • If the filling equipment is functioning properly what is the probability that the volume of oil in a randomly selected barrel wi
    13·1 answer
  • Which is the graph of f(x) = 2(3)^x​
    9·1 answer
  • WHAT IS THE ANSWER PLS!
    6·1 answer
  • A line that includes the point (-5, -7) has a slope of -1/5 what is its equation in
    11·1 answer
  • Kendall made 5/6 of a kilogram of trail mix. If she puts 1/6 of a kilogram into each bag, how many bags can Kendall fill? (label
    11·2 answers
  • The third graders at Grace Hardeman Elementary want to play kickball. There are 20 students, and each team will have 5 students.
    12·1 answer
  • A 140-meter rope is cut into two pieces. One piece is four times as long as the other. How long is each piece?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!