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3 years ago

Kendra is a blind marathon runner training for the Junior

Mathematics

1 answer:

mezya [45]3 years ago

7 0

Answer:

Slope = $\frac{1}{5}$

Equation of the line is $y=\frac{x}{5}$

Step-by-step explanation:

Given question is incomplete; find the complete question in the attachment.

Since the given line passes through two points (5, 1) and (10, 2),

Slope of the given line = $\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}$

m = $\frac{(2-1)}{(10-5)}$

m = $\frac{1}{5}$

Since the given line passes through (10, 2), equation of the line will be

y - y' = m(x - x')

$y - 2=\frac{1}{5}(x-10)$

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

$y=\frac{x}{5}$

Therefore, equation that can be used to find the distance y from the start after x minutes will be $y=\frac{x}{5}$

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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 50, 60,72,... Find the 8th term.

Vadim26 [7]

Answer:

179.159

Step-by-step explanation:

Given the sequence :

50, 60, 72,..

The sequence given is a geometric sequence :

For a geometric sequence ;

ar^(n - 1)

a = first term

r = a2 / a1 = 60 / 50 = 1.2

The 8th term ; n =8

a8 = ar^(n - 1)

a8 = 50*1.2^(8 - 1)

a8 = 50*1.2^7

a8 = 50*3.5831808

a8 = 179.15904

a8 = 179.159 (nearest thousandth )

8 0

3 years ago

If there is an 10+ lax on a $25 pair of pants what is the tax amount?

lesya692 [45]

Answer:

A 6% sales tax.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a

ASHA 777 [7]

Answer:

No, the cone will not hold all of the ice cream.

Step-by-step explanation:

Given:

" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a height of 6 inches.

If you place one scoops of ice cream (in the shape of a sphere) with a diameter of 2 7/8 inches would let it melt.

Now, to explain mathematically will the cone hold all of the ice cream.

Taking the value of π = 3.14.

So, to get the volume of waffle cone we put formula:

Height (h) = 6 inches.

Diameter = $2\frac{5}{8}=\frac{21}{8}\ inches.$

Thus radius (r) = Diameter ÷ 2 = $\frac{\frac{21}{8}}{2} =\frac{21}{16} \ inches.$

$Volume=\pi r^2\frac{h}{3}$

$Volume=3.14\times \frac{21}{16} \times \frac{21}{16} \times \frac{6}{3}$

$Volume=3.14\times 1.31\times 1.31\times 2$

$Volume=10.78\ inches^3.$

The volume of waffle cone = 10.78 inches³.

Now, to get the volume of scoop which is in the shape of sphere we put formula:

Diameter = $2\frac{7}{8} =\frac{23}{8} \ inches.$

Thus radius (r) = Diameter ÷ 2 $=\frac{\frac{23}{8}}{2} =\frac{23}{16} \ inches.$

$Volume = \frac{4}{3} \pi r^3$

$Volume = \frac{4}{3} \times 3.14\times \frac{23}{16} \times \frac{23}{16} \times \frac{23}{16}$

$Volume=1.33\times 3.14\times 1.44\times 1.44\times 1.44$

$Volume=12.47\ inches^3.$

The volume of one scoop of ice cream = 12.47 inches³.

So, as the volume of scoop of ice cream is more than the volume of cone.

Thus, if placing one scoop of ice cream in the cone and let it melt, the cone will not hold all of the ice cream.

Therefore, no the cone will not hold all of the ice cream.

5 0

3 years ago

Chrissy went to the grocery store Thursday night and spent $22.54. She paid

podryga [215]

Answer:

19.32

Step-by-step explanation:

4 0

4 years ago

One lap around a dirt track is 1/3 miles. it takes Bryce 1/9 hour to ride one lap. what is bryce's unit rate ,in miles,around th

lana [24]

Answer:

Bryce's speed (slow speed I might add) is 3 miles per hour.

Explanation:

s /d= t

where

s = speed d= distance t = time.

Solving for gives:

s = 1/3 / 1/9

s= 9/3

s= 3 miles per hour

3 0

3 years ago