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anastassius [24]

3 years ago

15

the graph shows the time and distance that a horse ran around a track if the horse runs at that same speed, how long will it tak

e the horse to run 1.5 miles?

1 answer:

SVETLANKA909090 [29]3 years ago

7 0

Using the values given at the red dot, the horse ran 0.2 miles in 20 seconds.

Divide 1.5 miles by 0.2:

1.5 / 0.2 = 7.5

Multiply that number by 20 seconds:

7.5 x 20 = 150 seconds

1 minute = 60 seconds

150 / 60 = 2.5

It will take 2.5 minutes to run 1.5 miles

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Learning Task 1 4/625 11. 796 A. Simplify the radical expressions 1. V63 6. V24 2. 48 7. 781 3. 775 8. V128 4. 99 9. 340 5. 92 1

kompoz [17]

Question:

Simplify the radical expressions

$1.\ \sqrt{63$ $2.\ \sqrt{48$ $3.\ \sqrt{75$ $4.\ \sqrt{99$ $5.\ \sqrt{92$

$6.\ \sqrt[3]{24}$ $7.\ \sqrt[3]{81}$ $8.\ \sqrt{128}$ $9.\sqrt[3]{40}$ $10.\ \sqrt[3]{135}$

Answer:

$\sqrt{63}= 3 \sqrt7$

$\sqrt{48} = 4\sqrt{3}$

$\sqrt{75} = 5\sqrt{3}$

$\sqrt{99} = 3 \sqrt{11$

$\sqrt{92} = 2\sqrt{23$

$\sqrt[3]{24} = 2 \sqrt[3]{3}$

$\sqrt[3]{81} =3\sqrt[3]{3}$

$\sqrt{128} = 8 \sqrt{2}$

$\sqrt[3]{40} = 2 \sqrt[3]{5}$

$\sqrt[3]{135} =3\sqrt[3]{5}$

Step-by-step explanation:

$1.\ \sqrt{63$

Express 63 as 9 * 7

$\sqrt{63}= \sqrt{9 * 7$

Split:

$\sqrt{63}= \sqrt{9} * \sqrt7$

$\sqrt{63}= 3 * \sqrt7$

$\sqrt{63}= 3 \sqrt7$

$2.\ \sqrt{48$

Express 48 as 16 * 3

$\sqrt{48} = \sqrt{16*3}$

Split

$\sqrt{48} = \sqrt{16}*\sqrt{3}$

$\sqrt{48} = 4*\sqrt{3}$

$\sqrt{48} = 4\sqrt{3}$

$3.\ \sqrt{75$

Express 75 as 25 * 3

$\sqrt{75} = \sqrt{25*3}$

Split

$\sqrt{75} = \sqrt{25}*\sqrt{3}$

$\sqrt{75} = 5\sqrt{3}$

$4.\ \sqrt{99$

Express 99 as 9 * 11

$\sqrt{99} = \sqrt{9} * \sqrt{11}$

Split

$\sqrt{99} = 3 \sqrt{11$

$5.\ \sqrt{92$

Express 92 as 4 * 23

$\sqrt{92} = \sqrt{4} * \sqrt{23$

$\sqrt{92} = 2* \sqrt{23$

$\sqrt{92} = 2\sqrt{23$

$6.\ \sqrt[3]{24}$

Express 24 as 8 * 3

$\sqrt[3]{24} = \sqrt[3]{8} * \sqrt[3]{3}$

Express 8 as 2^3

$\sqrt[3]{24} = \sqrt[3]{2^3} * \sqrt[3]{3}$

$\sqrt[3]{24} = 2 \sqrt[3]{3}$

$7.\ \sqrt[3]{81}$

Express 81 as 27 * 3

$\sqrt[3]{81} =\sqrt[3]{27}*\sqrt[3]{3}$

Express 27 as 3^3

$\sqrt[3]{81} =\sqrt[3]{3^3}*\sqrt[3]{3}$

$\sqrt[3]{81} =3\sqrt[3]{3}$

$8.\ \sqrt{128}$

Express 128 as 64 * 2

$\sqrt{128} = \sqrt{64} * \sqrt{2}$

$\sqrt{128} = 8 \sqrt{2}$

$9.\sqrt[3]{40}$

Express 40 as 8 * 5

$\sqrt[3]{40} = \sqrt[3]{8} * \sqrt[3]{5}$

$\sqrt[3]{40} = \sqrt[3]{2^3} * \sqrt[3]{5}$

$\sqrt[3]{40} = 2 \sqrt[3]{5}$

$10.\ \sqrt[3]{135}$

Express 135 as 27 * 5

$\sqrt[3]{135} =\sqrt[3]{27}*\sqrt[3]{5}$

Express 27 as 3^3

$\sqrt[3]{135} =\sqrt[3]{27}*\sqrt[3]{5}$

$\sqrt[3]{135} =3\sqrt[3]{5}$

4 0

3 years ago

The net below is of a triangular prism. What is the surface area of the prism? 6 m 10 m A 288 m2 C 318 m? B 300 m2 D476 m2

svet-max [94.6K]

Answer is D. 476m2
Because the area of the 3 rectangles combined is 416 meters squared plus the are of the triangle ( each is 30 meters, there are 2 triangles ) that’s 60 meter squared. 416 + 60 = 476 meters2

5 0

3 years ago

Read 2 more answers

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Allisa [31]

Each paper cup is a cone.
The volume if a cone is (1/3) (pi) (radius)² (height)

Notice, in the picture they labeled the <em>diameter</em> of the cup = 8 cm.
But we need the<em> radius</em>. that's 1/2 of the diameter = 4 cm.

So, the volume of these paper cups is

   (1/3) (pi) (4cm)² (11 cm) = about <em><u>184 cm³</u></em>
=====================

It says that tons of lemons have been sacrificed, and you have
about 37,850 cm³ of lemonade.

How many cups will that fill ?

   37,850 cm³ / 184 cm³ = about <em>205 cups</em>.
========================

How many packs of cups do you need to buy ?
Unfortunately, they only come in packs of 50.

1 pack = 50 cups . . . . . not enough
2 packs = 100 cups . . . not enough
3 packs = 150 cups . . . not enough
4 packs = 200 cups . . . oh so close but still not enough

You need to buy <em>5 packs = <u>250 cups</u></em>.
=================================

It started raining, so you only sold 80% of the lemonade that you had.

80% means 0.80
"of" means "times"

You started out with 37,850 cm³ .

You sold (0.8) x (37,850 cm³) = about <u>30,280 cm³</u> of it.

How many cups did you fill with that much lemonade ?
(Remember, each cup holds about <u>184 cm³</u>.)

   30,280 cm³ / 184 cm³ = about <u>164 cups sold</u>.

You bought 250 cups to start out.
You sold 164 cups of lemonade.

You had (250 bought - 164 used) =

   <em>86 clean, unused paper cups, still in the wrappers, left over</em>.

8 0

3 years ago

I have completed everything except for the last box. Can someone please help me on the last box? Thank you for your help!

Lera25 [3.4K]

Answer:

$2.5\%$

Step-by-step explanation:

From the Empirical Rule, 95% of the data shown falls between 63 and 95. The other 5% is evenly distributed to each side (since the distribution is bell-shaped), hence there being $\boxed{2.5\%}$ of scores less than 63.

The directions say to give the approximate percentage which is vague. You may have to input $3\%$ if it does not accept $2.5\%$ .

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34+0+18+26 use properties to find the sum or product please show work I’ll give 20 points the picture is an example of what you

lora16 [44]

6 x 89 is 534
6 x (90 - 1) is 534. BUT you have to subtract 90 from 1 and that's 89. So then you multiply 6 by 89.
6 x 90 is 540 and 6 x 1 is 6. you take 540 subtract 6 and that's 534.
540 - 6 is 534.

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4 years ago