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
Cerrena [4.2K]
3 years ago
10

Help me with this question please.

Mathematics
1 answer:
Vlada [557]3 years ago
7 0

Answer:

The number of Pencils purchased and the cost of pencils represents a proportional relationship.

Step-by-step explanation:

As we know that proportional relationships between two variables have equivalent ratios.

For example,

3/12 = 9/36 is a TRUE proportions because both fractions reduces to 1/4, and because  12 × 9 = 3 × 36.

As our problem suggests whether the number of Pencils purchased and the cost of pencils represent a proportional relationship?

Given

  • Pencils $0.25 each

It means ach pencil costs $0.25.

So

  • If Sarah buys 1 pencil it would cost = $0.25
  • If Sarah buys 2 pencils it would cost = $0.5
  • If Sarah buys 3 pencils it would cost = $0.75
  • If Sarah buys 4 pencils it would cost = $1

Lets make a table:

No of Pencils Purchased               Cost

                  1                                   $0.25

                  2                                   $0.5

                  3                                   $0.75

                  4                                   $1

so

Cost/No of Pencils Purchased = 0.25/1 = 0.5/2 = 0.75/3 = 1/4

So cost per pencil = 0.25 : 1

Since all of the ratios are equivalent, this table is a proportional relationship.

Therefore, the number of Pencils purchased and the cost of pencils represents a proportional relationship.

You might be interested in
Write an equation for the line that passes through (-1,4) with a slope of -10
Maurinko [17]

Answer:

y = - 10x - 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here slope m = - 10, hence

y = - 10x + c ← is the partial equation

To find c substitute (- 1, 4) into the partial equation

4 = 10 + c ⇒ c = 4 - 10 = - 6

y = - 10x - 6 ← equation of line

4 0
3 years ago
(11-6)^2+6x2-(3+3)^2<br><br> A. 0<br><br> B. 1<br><br> C. 16<br><br> D. 26
Dahasolnce [82]

Answer: =1

Step-by-step explanation:

\left(11-6\right)^2+6\cdot \:2-\left(3+3\right)^2

=5^2+6\cdot \:2-\left(3+3\right)^2

=5^2+6\cdot \:2-6^2

=25+6\cdot \:2-6^2

=25+6\cdot \:2-36

=25+12-36

=1

3 0
2 years ago
Find the slope intercept <br>(9,5),(7,-11)<br>y=​
grin007 [14]

Answer:

y=8x-67

Step-by-step explanation:

So the question is what is the equation for the following two coordinate points?

Well to start off what is the formula? The formula is called the linear equation. Which is y=mx+b. What does these letters or "variables" mean or represent?! Welp, m stands for the slope, which is "Δy over Δx." Some people call say "the change of y over x." I call it the rise over run. So it is saying y over x. The b in the linear equation is the y-intercept. The y-intercept is when the line crosses the y-axis.

With that being said, let's find the slope. But how? Well with the Δy over Δx. The formula is y₂-y₁ over x₂-x₁. With the two coordinate points we can label them.

y₂=5

y₁=(-11)

x₂=9

x₁= 7

Now let set it up into the equation of y over x

Slope =  <u> 5- (-11) </u> = <u> 5 + 11  </u> = <u>  16 </u> = 8

                  9-7         9-7          2

So we now have the slope! Which is 8! So put that into the linear equation!

y=8x+b

Next, we need to find b, the y-intercept! How do we do that well, we can figure it out by one of the coordinate points! Let use the (7, -11) point for example! Remember, x= 7 and y= (-11)

(-11) = 8(7) + b

(-11) = 56 + b

<u>-56   -56</u>

-67 =  b

We now have b, which is negative 67! So we need to put all the information we have found into the linear equation!

y=8x-67

6 0
3 years ago
What is the answer for 10-6(5-2y)
grin007 [14]

Answer:

-20 + 12y

Step-by-step explanation:

Equation: 10 - 6(5 - 2y)

Step 1:

10 - 30 + 12y          Multiply (5 - 2y) by -6 (distributive property)

Step 2:

-20 + 12y            Subtract 10 by 30 (10 - 30 = -20)

8 0
3 years ago
Read 2 more answers
Can someone plz help me no links plz I beg u I’m confused I would really appreciate it
Ghella [55]

Answer: A

Step-by-step explanation:

The maximum amount of weight the truck can carry is 1600lbs. You do not want to exceed 1600lbs, but you can reach 1600lbs. This makes the inequality symbol ≤. This symbol says that the weight load has to be less than 1600lbs, but It can equal 1600lbs. You know that the piano is 400lbs and each box is 50lbs. Since you want to figure out how many boxes you can put on the truck alongside the piano, you can use the inequality: 50x + 400 ≤ 1600.

50 represents pounds per/box

x represents the number of boxes you can hold

400 represents the weight of the piano

1600 represents the max weight.

8 0
2 years ago
Other questions:
  • Jamal made gallon of lemonade. He plans to pour servings of gallon and wants to
    11·1 answer
  • A squirrel runs at a steady rate of 0.51 m/s in a circular path around a tree. If the squirrel's centripetal acceleration is 0.4
    8·2 answers
  • A manufacturer estimates that the average worker can assemble products according to the functionP(t)=8.47t+10t+6where  t  ≥  0 ,
    9·1 answer
  • How to show my daughter to do this and it needs to be changed to a mix number.
    11·1 answer
  • A wire is strung from the top of a pile to a point on the ground. The length of the wire is 100 ft. The angle of depression from
    13·1 answer
  • Which graph shows a polynomial function of an even degree?
    15·1 answer
  • HELP HELP HELP HELP FAST
    12·2 answers
  • A sweater which originally cost $ 38.40 is on sale 25% off. Carmen has gift card worth $15 off, but the gift card can only be us
    14·1 answer
  • The roots of x+1/x=3 are: (x not equal to 0)​
    10·2 answers
  • Did you get the same sum for both sets of angle measurements? What do you think that means? Create an equation to represent the
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!