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Assoli18 [71]
3 years ago
15

Top soil is sold by the cubic yard. How much top soil, to the nearest cubic yard, is needed to create a flower bed with soil 4 f

eet wide by 25 feet long by 6 inches deep?
Question 19 options:

6


2


50


27
Mathematics
1 answer:
Montano1993 [528]3 years ago
7 0
You find the volume of the flower bed (4 times 25 time 6) this is 600. but you then realize that you need to convert the 6 inches into ft. so you do 25 times 4 /2 which is 50. 50/9 is rounded up to 6. Just notes: Although, when you do this, your units are in ft squared. you need to get them into yards. there are 3 feet in one yard. So, divide 600 by 9. (you need to multiply 3 times 3 to cancel out the ft squared). your answer is a
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Tracy brought 5 trays of plants for $105. Each tray contained 12 plants. Each plant cost the same amount. Plants can be purchase
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131.25 but she would spend 26.25 more
4 0
3 years ago
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A pitcher holds 3/4 gallons of kool-aid. Martin wants to pour equal amounts of kool- aid into 6 smaller cotainers. How much kool
statuscvo [17]

Answer:

\dfrac{1}{8}\ gallons

Step-by-step explanation:

Amount of kool - aid that the pitcher can hold = \frac{3}4 gallons

There are 6 smaller containers in which this kool - aid is to be adjusted.

Also, the volume of the smaller containers is equal to each other i.e. the containers are identical to each other in terms of volume.

To find:

The amount of kool - aid that each container can hold?

Solution:

Volume of all the smaller containers combined = Volume of the kool - aid available

Let the volume of one smaller container = V

V + V + V + V + V + V = \dfrac{3}{4}\ gallons

\Rightarrow 6V = \dfrac{3}{4}\ gallons\\\Rightarrow V = \dfrac{3}{4\times 6 }\ gallons\\\Rightarrow V=\bold{\dfrac{1}{8}\ gallons}

\frac{1}{8}\ gallons of kool - aid is the amount that each smaller can hold.

8 0
3 years ago
Identify the center and the radius of a circle that has a diameter with endpoints at (−5, 9) and (3, 5)
marusya05 [52]

Check the picture below, so the circle looks more or less like that one.

well, the center of it is simply the Midpoint of those two points, and its radius is simply half-the-distance between them.

~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 3 -5}{2}~~~ ,~~~ \cfrac{ 5 + 9}{2} \right)\implies \left( \cfrac{-2}{2}~~,~~\cfrac{14}{2} \right)\implies \stackrel{center}{(-1~~,~~7)} \\\\[-0.35em] ~\dotfill

~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{diameter}{d}=\sqrt{[3 - (-5)]^2 + [5 - 9]^2}\implies d=\sqrt{(3+5)^2+(-4)^2} \\\\\\ d=\sqrt{8^2+16}\implies d=\sqrt{80}\implies d=4\sqrt{5}~\hfill \stackrel{\textit{half the diameter}}{\cfrac{4\sqrt{5}}{2}\implies \underset{radius}{2\sqrt{5}}}

8 0
2 years ago
Help help help help help help help help
djyliett [7]

Answer:

Option A is correct

Step-by-step explanation:

6 feet 2 inches = 74 inches

74 inches = 6 \frac{1}{6}feet.

<h3>Hope it is helpful....</h3>
8 0
3 years ago
Read 2 more answers
What is the vertex form of y = x2 + 8x – 3
9966 [12]

Answer:

(-4,-19)

Step-by-step explanation:

y = x² + 8x - 3

y = x² + 2(x)(4) + 4² - 4² - 3

y = (x + 4)² - 16 - 3

y = (x + 4)² - 19

Vertex: (-4,-19)

6 0
3 years ago
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