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3 years ago

I'm lost on this please help

Mathematics

1 answer:

lukranit [14]3 years ago

7 0

Answer:

Y=1/4x+33/4

Step-by-step explanation:

Y=1/4x+b

9=1/4(3)+b

9=3/4+b

8.25=33/4=b

Y=1/4x+33/4

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Write a number sentence that does not involve regrouping using this sum and two 2- digit addends

melisa1 [442]

Using the sum (addition) and two 2-digit addends, 12 + 34 can be answered without regrouping.

5 0

3 years ago

Anty was riding his bike to school at a speed of 12 mph. When he was of the way there, he got a flat tire. His mother drove him

NemiM [27]

Complete question:

Anty was riding his bike to school at a speed of 12 mph. When he was half of the way there, he got a flat tire. His mother drove him the rest of the way at a speed of 48 mph. What was his average speed?

Answer:

His average speed is 19.2 mph

Step-by-step explanation:

Given;

speed of Anty to school half of the way, v₁ = 12 mph

speed of Anty when his mother drove him half of the way, v₂ = 48 mph

The average speed of Anty is calculated as;

$V_{average} = \frac{Total \ distance }{Total \ time }$

The value of the average speed is closer to 12 mph than 48 mph because Anty spent more time moving at 12 mph than at 48 mph.

Let the equal distance travel at each speed = 96 miles

Time taken at 12 mph = $\frac{96 \ mile}{12 \ m/h} = 8 \ hours$

Time taken at 12 mph = $\frac{96 \ mile}{48 \ m/h} = 2 \ hours$

Average speed = $\frac{Total \ distance}{Total \ time } = \frac{96 \ mile \ + \ 96 \ mile}{2\ hr \ + \ 8\ hr} = \frac{192 \ miles}{10 \ hrs} = 19.2 \ mph$

Also, you can assume any other equal distance traveled at each speed, the average speed will still be 19.2 mph.

Check: let the equal distance traveled at each speed = 480 miles

Time taken at 12 mph = 480/12 = 40 hours

Time taken at 48 mph = 480/ 48 = 10 hours

Average speed = (480 + 480) / (40 + 10)

= 19.2 mph

8 0

2 years ago

3 1 - 2.6 ________ 0.05

olya-2409 [2.1K]

Work:

$\frac{31 - 2.6}{0.05}$

$\frac{28.4}{0.05}$

Answer:

$567. \frac{}{9}$

6 0

3 years ago

A line passes through (2, –1) and (8, 4). a. Write an equation for the line in point-slope form. b. Rewrite the equation in stan

pentagon [3]

The point-slope form of a line is:

y-y1=m(x-x1), where m=slope and (x1,y1) is any point on the line

First we need to find the slope, which is (y2-y1)/(x2-x1)

m=(4--1)/(8-2)

m=5/6 and we can use either point, I'll use (8,4)

y-4=(5/6)(x-8)

That is your equation in point-slope form.

Now the standard equation of a line is ax+by=c

y-4=(5/6)(x-8) we can perform the indicated multiplication on the right side

y-4=(5x-40)/6 multiply both sides by 6

6y-24=5x-40 add 24 to both sides

6y=5x-16 subtract 5x from both sides

-5x+6y=-16 and by convention, the standard equation of a line should be expressed with a positive coefficient for x, so multiply both sides by -1

5x-6y=16

8 0

3 years ago

Scale Drawings question

Nimfa-mama [501]

Answer:

138 is the answer

Step-by-step explanation:

In order to find the perimeter, we use this formula

P=2(l+w)

And to find the width, we use this formula

w = P/2 - L = 18/2 - 3 = 6

So the width is 6

3 × 6 = 18

So thats why the perimeter of the top triangle is 18

We do 21 ÷ 3 = 7, 7 = scale factor

To find the perimeter of the bottom triangle, we do

the width of the top rectangle times 7

so 6 × 7 = 48

So the perimeter for the bottom triangle is

P=2(l+w)=2·(48+21)=138

6 0

2 years ago