Alejandra correctly wrote the equation y-3 = (x - 10) to represent a line that her teacher sketched. The teacher
then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra
write to represent the new line?

Answer:

The scale factor is 1/4

Step-by-step explanation:

20/5 = 4

Given:

Leon had 84 paper clips.

He gave [tex]\dfrac{3}{4}[/tex] of them to Joe.

Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.

To find:

How many paper clips did Justin get?

Solution:

Leon had 84 paper clips and he gave [tex]\dfrac{3}{4}[/tex] of them to Joe.

Number of paper clips Joe has = [tex]\dfrac{3}{4}\times 84[/tex]

                                                    = [tex]63[/tex]

Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.

Number of paper clips Justin has = [tex]\dfrac{2}{7}\times 63[/tex]

                                                       = [tex]18[/tex]

Therefore, Justin has 18 paper clips.

Answer:

11.1 feet

Step-by-step explanation:

When you are given a right triangle with a given angle and side, you can use

trigonometric functions to calculate missing side lengths or inverse functions for angles based on this information.

These ratios can be remembered by the mnemonic:

SOH CAH TOA.

S O H → Sin (Sine) = Opposite / Hypotenuse

C A H → Cos (Cosine) = Adjacent / Hypotenuse

T O A → Tan (Tangent) = Opposite / Adjacent

______________________________________

The Opposite side is the side directly across from the angle, The adjacent (next to) side is the side other than the hypotenuse or opposite side, and the hypotenuse is the longest side.

Given that we are trying to find the adjacent side, we must use the cos (cosine) function because that can be multiplied by the hypotenuse to give us the adjacent side we are looking for.

Therefore, 36 [Hypotenuse Side] × cos(72°) = Adjacent Side.

Because: 36 = Hypotenuse Side.

cos(72)° = Adjacent Side / Hypotenuse Side.

36 × cos(72°) =

36 × 0.309016994374... = 11.12461179749... ≈ 11.1

Answer:

For each number, there is a 1/6  probability of rolling it (so 1/6  for the 1 and also 1/6 for the 4).

This means that the probability of rolling either a 1 or a 4 on a given roll is  

1 /6 +   1 /6 = 2/6 = 1/3  

hope this answer helps you.....

Answer:

Is 1/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Number of people 41 - 50 who read DIY books = 69

Total number of people = 750

% reading DIY = (69/750) * 100 = 9.2%

Answer:

Stanley needs 31 feet and 2 inches of fencing.

Step-by-step explanation:

In order to answer this problem, you need to find the perimeter of the dog run.

Since: [tex]P=2(l+w)[/tex]

and [tex]l=149[/tex] inches & [tex]w=56[/tex] inches

Plug in what we know :

[tex]P=2(149+56)[/tex]

and solve:

[tex]P=410[/tex] inches

The dog run has a perimeter of 410 inches.

However, now we need to subtract 36 inches since the gate doesn't need fencing.

[tex]410-36=374[/tex] inches.

The dog run needs 374 inches of fencing.

In order to find out how many feet of fencing that is, divide it by 12.

[tex]\frac{374}{12}[/tex] = 31.16666667 OR [tex]31\frac{2}{12}[/tex], meaning 31 feet and 2 inches.

Answer:

31 feet and 2 inches of fencing :))<3

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer: the tip you should leave is 4.2

14 is 0.04

do 0.04 times 30 and you get 4.2 which is 14 % of 30

Step-by-step explanation:

Answer:

45 pages in 1 hour

Step-by-step explanation:

Find the unit rate by dividing the number of pages by the number of hours

135/3

= 45

This means he can read 45 pages in 1 hour.

The unit rate is 45 pages in 1 hour.

Answer:

(3+ 5)2=8*2=16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

(3+1*5)2

B- brackets

I- indices

D- division

M- multiplication

A- addition

S- subtraction

1*5=5

5+3=8

8*2=16

Answer:

Let x represent minutes.

The inequality derived from the question is...

58 > 18 + 5x

Solve for x...

58 > 18 + 5x

58 - 18 > 5x

40 > 5x

40/5 > x

8 > x

So it will take more than 8 minutes to have 58 liters.

Step-by-step explanation:

Answer:

22%*45=

(22:100)*45 =

(22*45):100 =

990:100 = 9.9

32.5%*250=

(32.5:100)*250 =

(32.5*250):100 =

8125:100 = 81.25

Answer:

1) 9.9

2) 81.25

Step-by-step explanation:

1)

22% = 0.22

45(0.22) = 9.9

2)

32.5% = 0.325

250(0.325) = 81.25

Answer:

A polygon with 18 sides has 18 interior angles. Therefore, to find the measure of one of these angles, divide the sum by 18. Answer: Each angle is 160 degrees.

Step-by-step explanation:

Answer:

Shown Below

Step-by-step explanation:

WPT = 90

WPV =  30

VPT =  60

VPS = 90

RPS = 60

WPS = 120

QPS =  150

Answer:

Ummm give me a second let me solve this

Answer:

<B = 18

x+23 = 35

5x = 60

Step-by-step explanation:

Answer:

12. 18

14. x = 12; x + 23 = 35; 5x = 60

Step-by-step explanation:

12.

100 = ? + 82

? = 18

14.

x + 23 + 5x + 85 = 180

6x + 108 = 180

6x = 72

x = 12

x + 23 = 12 + 23 = 35

5x = 5 * 12 = 60

Answer:

Triangle!!

Step-by-step explanation:

If you cut the pyramid in half, it will leave triangles. Hope this helps!

Answer:

Reflected across thhe Y-Axis (I think thats what your looking for)

Answer:

4355646

Step-by-step explanation:

45345

Answer:

least common denominator is 4

Step-by-step explanation:

3/1+8/4=20/4 which is 5

Answer:

-2

Step-by-step explanation:

Answer:

I think 96° but not fully sure sorry if wrong

Answer:

B x=13.5; y=10

this is answer

Step-by-step explanation:

Answer:

LSA = (a+b+c)×h

Step-by-step explanation:

The formula that would be used to find the lateral surface area of the triangular prism = perimeter of base(P) × Height of prism(H)

Let us assume that three side of triangle are a, b, c and height of prism is h

Then lateral surface area of the prism can be LSA = (a+b+c)×h

Answer:

The lowest length on the third side is less that 30 and the largest is between 40 and 30

Step-by-step explanation:

Answer:

just use the line on the graph :D

Step-by-step explanation:

f(6) =2

the maximum is 7

hope this helps!

Answer:

1/6

Step-by-step explanation:

you have a 6 sided die that is numbered 1, 2, 3, 4, 5, and 6.

you roll it once, so the probability that you will roll a five is 1/6

this is because you only want one specific number so that goes on the numerator of the fraction.

then, you have to multiply how many sides you have on the die to the number of rolls. in this case we have one roll and six sides. so the six goes on the denomerator side of the fraction

Answer:

The answer is (2,-2)

Answer:

10,000

Step-by-step explanation:

10 to the power of 4 is equal to 10x10x10x10 which is 10,000! I hope this helps

Answer:

the answer will be 10000!

Step-by-step explanation:

10 x 10 x 10 x 10 = 10000

or...

10 x 10 = 100

100 x 100 = 10000

or...

jusr simply add 4 zero to 1!