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valentina_108 [34]
2 years ago
13

Sandy bought a 32.5 ounce package of mixed nuts for $7.I5. What was the coat per ounce.​

Mathematics
1 answer:
iren [92.7K]2 years ago
3 0
7.15/32.5=22
22 cents
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Vaughn is laying sod in his backyard. A diagram of his backyard is bel ow
Orlov [11]

Answer: A=944\ ft^2

Step-by-step explanation:

You need to use the following formula that is used to find the area of a trapezoid:

A=(\frac{M+m}{2})h

Where "M"and "m" are the bases of the trapezoid and "h" is the height of the trapezoid.

Based on the information given in the exercise, you can identify that:

M=c=36\ ft\\\\m=a=23\ ft\\\\h=b=32\ ft

Knowing these values, you can substitute them into the formula:

A=(\frac{36\ ft+23\ ft}{2})(32\ ft)

Finally, you must evaluate in order to find its area. This is:

A=(\frac{59\ ft}{2})(32\ ft)\\\\A=\frac{1888\ ft^2}{2}\\\\A=944\ ft^2

7 0
3 years ago
Find the sum of the first 90 terms of the sequence -4,-1,2,5,8
telo118 [61]

Answer:

1655

Step-by-step explanation:

Note the common difference d between consecutive terms of the sequence

d = - 1 - (- 4) = 2 - (- 1) = 5 - 2 = 8 - 5 = 3

This indicates the sequence is arithmetic with sum to n terms

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

Here a₁ = - 4, d = 3 and n = 90, thus

S_{90} = \frac{90}{2} [ (2 × - 4) + (89 × 3) ] = 45(- 8 + 267) = 45 × 259 = 1655

4 0
3 years ago
How many different ways can 5 identical tubes of tartar control toothpaste, 3 identical tubes of bright white toothpaste, and 4
Pavlova-9 [17]
(12!)/(5!*4!*3!) = 27720
8 0
3 years ago
what is the value of x in the diagram below? if necessary round your answer to the nearest tenth of a until
VladimirAG [237]

Answer:

C

Step-by-step explanation:

Calculate AC using Pythagoras' identity in ΔABC

AC² = 20² - 12² = 400 - 144 = 256, hence

AC = \sqrt{256} = 16

Now find AD² from ΔACD and ΔABD

ΔACD → AD² = 16² - (20 - x)² = 256 - 400 + 40x - x²

ΔABD → AD² = 12² - x² = 144 - x²

Equate both equations for AD², hence

256 - 400 + 40x - x² = 144 - x²

-144 + 40x - x² = 144 - x² ( add x² to both sides )

- 144 + 40x = 144 ( add 144 to both sides )

40x = 288 ( divide both sides by 40 )

x = 7.2 → C



6 0
2 years ago
Read 2 more answers
18+ 0.50x=12 + 0.75x
Veronika [31]

Answer:

x = 24

Step-by-step explanation:

18 + 0.5x = 12 +0.75 x

18 - 12 = 0.75 x - 0.5x

6 = 0.25 x

24 = x

3 0
2 years ago
Read 2 more answers
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