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2 years ago

Ann walks 7/8 mile in 1/4 hour. Find the unit rate in miles per hour

Mathematics

1 answer:

m_a_m_a [10]2 years ago

7 0

Answer:

The correct answer in MPH (miles per hour) would be 3.5 or 3 1/2 MPH.

Step-by-step explanation:

7/8 = 0.875

1/4 = 0.25

This is a fraction equal to 0.875 miles ÷ 0.25 hours.

We want a unit rate where 1 is in the denominator, so we divide top and bottom by 0.25.

0.875 miles ÷ 0.25/ 0.25 hours ÷ 0.25

= 3.5 miles/1 hour

= 3.5 miles/ hour

3.5 = 3 1/2

= 3 1/2 miles per hour

Hope this helps!

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WILL MARK BRAINLIEST AND WILL GIVE POINTS. PLEASE ANSWER AND SHOW YOUR WORK.

Sindrei [870]

one interior angle = 30° <==== this one is given

second interior angle = 180 - 40 = 140° <=== interior angle + exterior angle = 180

third interior angle = 180 - 30 - 140 = 10° <=== angles in a triangle = 180

8 0

2 years ago

The area of Mark's laptop computer

navik [9.2K]

Answer:

4x+1

Step-by-step explanation:

The area is 12x2 + 3x in

The length is 3x

Formula is A=L*B

12x2 + 3x=3x*B

Divide both side by 3x

12x2+3x divide by 3x=B

4x+1=B

The express for the width is 4x+1

Please mark as brainliest

7 0

2 years ago

Please help me with those question please help with out number 1

alina1380 [7]

Answer:

1) For each value of x, a value of y is increased by 5.

x = 0, y = 5

x = 1, y = 10

x = 2, y = 15

x = 3, y = 20

------------------------------------------------------------------------------------------

2) For each two values of x, a value of y is increased by 10.

x = 0, y = -2

x = 2, y = 8

x = 4, y = 18

x = 6, y = 28

-------------------------------------------------------------------------------------------

x = 0, y = 1

x = 1, y = $\frac{7}{5}$

x = 5, y = 3

x = 10, y = 5

-------------------------------------------------------------------------------------------------

x = 0, y = 2

x = 1, y = 17

x = 2, y = 32

x = 5, y = 77

Step-by-step explanation:

This is as easy as replacing x for the actual value show on the table.

$y=5x+5$

When x = 0, y = ?

$y=5(0)+5\\y=0+5\\y=5$

When x = 1, y = ?

$y=5(1)+5\\y=5+5\\y=10$

When x = 2, y = ?

$y=5(2)+5\\y=10+5\\y=15$

When x = 3, y = ?

$y=5(3)+5\\y=15+5\\y=20$

-------------------------------------------------------------------------------------------------------

$y=5x-2$

When x = 0, y = ?

$y=5(0)-2\\y=0-2\\y=-2$

When x = 2, y = ?

$y=5(2)-2\\y=10-2\\y=8$

When x = 4, y = ?

$y=5(4)-2\\y=20-2\\y=18$

When x = 6, y = ?

$y=5(6)-2\\y=30-2\\y=28$

----------------------------------------------------------------------------------------------------

$y=\frac{2}{5}x +1$

When x = 0, y = ?

$y=\frac{2}{5}(0) +1$

$y=0 +1\\y=1$

When x = 1, y = ?

$y=\frac{2}{5}(1) +1\\y=\frac{2}{5} +1$

$y=\frac{2}{5}+1(\frac{5}{5})\\ y=\frac{2}{5}+\frac{5}{5} \\y=\frac{7}{5}$

When x = 5, y = ?

$y=\frac{2}{5}(5) +1\\y=2+1\\y=3$

When x = 10, y = ?

$y=\frac{2}{5}(10) +1\\y=2(2) +1\\y=4+1\\y=5$

-------------------------------------------------------------------------------------------------

$y=15x+2$

When x = 0, y = ?

$y=15(0)+2\\y=0+2\\y=2$

When x = 1, y = ?

$y=15(1)+2\\y=15+2\\y=17$

When x = 2, y = ?

$y=15(2)+2\\y=30+2\\y=32$

When x = 5, y = ?

$y=15(5)+2\\y=75+2\\y=77$

4 0

2 years ago

Read 2 more answers

In 2000, an invasive plant species covered 0.2% of an island. for the 5 years that followed, the area covered by the plant tripl

Elden [556K]

Answer:

The statement is correct

see the explanation

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

$y=a(1+r)^x$

where

y is the area covered by the plant in percentage

x is the time in years since 2000

r is the rate of change

a is the initial value

In this problem we have

$r=200\%=200/100=2$

$a=0.2\%$

substitute the values

$y=0.2(1+2)^x$

$y=0.2(3)^x$

In the year 2005

$x=2005-2000=5\ years$

substitute the value of x in the exponential function

$y=0.2(3)^5=48.6\%$

48.6% is about 50%

therefore

The statement is correct

5 0

3 years ago

Peter has built a gazebo, whose shape is a regular heptagon, with a side length of $1$ unit. He has also built a pathway around

Sholpan [36]

Answer:

Area of pathway = 10.375 unit²

Step-by-step explanation:

Given - Peter has built a gazebo, whose shape is a regular heptagon, with

a side length of 1 unit. He has also built a pathway around the

gazebo, of constant width 1 unit, as shown below.

To find - Find the area of the pathway.

Proof -

Central angle = $\frac{360}{7}$ = 51.43°

Now,

Central angle / 2 = $\frac{360}{14}$ = 25.71°

And

height = $\frac{1}{2}.\frac{1}{tan25.41}$ = 1.038

Now,

Inner area of gazebo = 7· $\frac{1}{2}$ ·1·(1.038) = 3.634 unit²

Outer area of gazebo = ( $\frac{2.038}{1.038}$ )²·(3.364) = 14.009 unit²

∴ we get

Area of pathway = Outer area - Inner area

= 14.009 - 3.634

= 10.375 unit²

⇒Area of pathway = 10.375 unit²

5 0

2 years ago