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4 years ago

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Find the missing dimension of each prism: volume= 56 1/4 ft | width= 3 3/4 ft | length= 7 1/2 ft

1 answer:

Juliette [100K]4 years ago

4 0

Prism volume = width*length*height
56 1/4 = 3 3/4 * 7 1/2 * h

56.25=3.75*7.5*h

h=(56.25)/(3.75*7.5)=2

So that the missing dimension (height) is 2 ft

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A bucket of candy contains 24 Jolly Ranchers, 18 Hershey Kisses, 12 packs of Smarties, and some Starburst. The probability of re

Papessa [141]

Complete question:

A bucket of candy contains 24 Jolly Ranchers, 18 Hershey Kisses, 12 packs of Smarties, and some Starburst. The probability of reaching in and pulling out a pack of Smarties is 1/6.How many Starburst are in the bucket?

Answer:

18

Step-by-step explanation:

Give the following :

Number of jolly ranchers = 24

Number of Hershey kisses = 18

Number of smarties = 12

Number of Starburst = s

Probability of pulling out a smarties ; P(smarties) = 1/6

Probability = required outcomes / total possible outcomes

Required outcome = 12

Total possible outcomes = (24 + 18 + 12 + s) = 54 + s

P(smarties) = 12 / (54 + s)

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1 × (54 + s) = 12 × 6

54 + s = 72

s = 72 - 54

s = 18

Hence number of smarties = 18

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3 years ago

Miya is picking up two friends to go the beach. She drives from her house to

Serga [27]

Answer:

Option (C)

Step-by-step explanation:

Coordinates of the point representing the location of Miya → (1, 10)

Coordinates of the point representing the location of Drea → (13, 1)

Coordinates of the point representing the location of Francine → (16, 1)

Coordinates of the point representing the location of Beach → (19, 4)

Distance between Miya and Drea = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

= $\sqrt{(13-1)^2+(1-10)^2}$

= $\sqrt{144+81}$

= 15 miles

Distance between Drea and Francine = $\sqrt{(16-13)^2+(1-1)^2}$

= 3 miles

Distance between Francine and Beach = $\sqrt{(19-16)^2+(4-1)^2}$

= $\sqrt{9+9}$

≈ 4.2 miles

Total distance between Miya and the beach = 15 + 3 + 4.2

= 22.2 miles

Option (C) is the answer.

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3 years ago

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ivann1987 [24]

Answer:

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Step-by-step explanation:

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3a²- 3a - a+ 1= 0

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(a-1)(3a -1)= 0

a-1= 0 ⇒ a= 1

3a - 1= 0 ⇒ 3a= 1 ⇒ a= 1/3

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3 years ago

You want to put $4,000 in a simple interest account. It has a 2.5% annual interest rate. How long will it take you to earn $500

SVEN [57.7K]

Answer:

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use the I = Prt simple interest formula

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3 years ago

The measure of RST can be represented by the expression (6x + 12)°.

Valentin [98]

Answer:

The measure of angle RST is $120\°$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

$m$ -----> equation A

$m$ -----> equation B

equate equation A and equation B

$(6x+12)\°=78\°+(3x-12)\°$

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$3x=54\°$

$x=18\°$

The measure of angle RST is equal to

$m$

8 0

3 years ago

Read 2 more answers