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3 years ago

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.

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

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.

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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 A. 0 B. 1 C. 16 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 (9,5),(7,-11) 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 = 5- (-11) = 5 + 11 = 16 = 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

-56 -56

-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