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Anettt [7]
3 years ago
14

8(3 – 2x)+ 4(3x – 2)=-16 Can someone solve for x? please​

Mathematics
1 answer:
castortr0y [4]3 years ago
4 0

Answer: x = 8

Step-by-step explanation:

8(3-2x) + 4(3x - 2) = -16

expanding the equation , we have

24 - 16x +12x - 8 = -16

16 - 4x = -16

collecting the like terms

4x = 32

x = 32/4

x = 8

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A silo is not the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cu
Gnom [1K]

Answer:

$7803.72

Step-by-step explanation:

We have been given that a silo is in the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cubic meter. We are asked to find the total cost to fill the silo with soybeans.

First of all, we will find the volume of silo using volume of cone formula.

\text{Volume of cone}=\frac{1}{3}\pi r^2 h, where,

r = radius

h = Height

We know that radius is half the diameter, so radius of silo would be r=\frac{3}{2}=1.5.

\text{Volume of cone}=\frac{1}{3}\pi (1.5\text{ m})^2 (8)\text{ m}

\text{Volume of cone}=\frac{1}{3}\pi\times 2.25\text{ m}^2 (8)\text{ m}

\text{Volume of cone}=\pi\times 0.75\text{ m}^2 (8)\text{ m}

\text{Volume of cone}=\pi\times 6\text{ m}^3

\text{Volume of cone}=18.8495559\text{ m}^3

Now we will multiply total volume by $414 to find total cost.\

\text{Total cost of soybeans}=\$414 \times 18.8495559

\text{Total cost of soybeans}=\$7803.7161426

\text{Total cost of soybeans}\approx \$7803.72

Therefore, it will cost $7803.72 to fill the silo with soybeans.

5 0
3 years ago
2. How many ounces of yeast will you need to make 30 rolls?
kupik [55]

Answer:

5

Step-by-step explanation:

7 0
3 years ago
suppose Q is the midpoint of PR. use the information to find the missing value. PQ equals 3x + 14 and QR equals 7X - 10; find X.
NARA [144]

Answer:

x=6

Step-by-step explanation:

A midpoint is the middle point of a line segment, therefore it is equal distances from both ends of the segment.

This means that PQ and QR have the same length. So all we have to do is set each value equal to each other, and then solve for X.

3x+14=7x-10\\3x+24=7x\\24-4x\\x=6

4 0
3 years ago
Read 2 more answers
Julia examines the two triangles below and determines that .
baherus [9]

IN Δ MLN:


∠M = 18.3 , ∠L = 98.6 AND ∠N = 180 - (∠M + ∠L) = 180 - (18.3 + 98.6 ) = 63.1



IN Δ FGH:


∠F = 98.6 , ∠G = 61.1 AND ∠H = 180 - (∠F + ∠G ) = 180 - (98.6 + 61.1 ) = 20.3



∴ ONLY ∠N = ∠F = 98.6


There is no other <span>congruent </span>angles


So, The correct statement is :

Inaccurate. The triangles are not similar because angle M is not congruent to angle H, and angle N is not congruent to angle G.



8 0
3 years ago
Read 2 more answers
02-3+30-8+p+p
kupik [55]

The constants, -3 and -8, are like terms

The terms 3p and p are like terms

The terms in the expression are p^2, -3, 3p, -8, p, p^3

The expression contains 6 terms.

Like terms have the same variables raised to the same powers.

4 0
2 years ago
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