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sergejj [24]
3 years ago
12

What number must be placed in the box in the equation below to produce an equation that has more than one solution: 5u+3(4u-6)=-

3u-27+20u+ ▢
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
7 0

Answer: the number must be placed in the box is 9

suppose: the number must be placed in the box is x

have:

5u + 3(4u - 6) = -3u -27 + 20u + x

⇔ 5u + 12u - 18 = -3u - 27 + 20u +x

⇔ 17u + 3u - 20u = -27 + 18 + x

⇔ 0 = x - 9

⇔ x = 9

Step-by-step explanation:

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Solve for x <br> •26.45 <br> •10.93<br> •14.26<br> •22.19 <br> •20.26
ollegr [7]

Answer:

x = 26.45

Step-by-step explanation:

Cos theta = adjacent side / hypotenuse

cos 50 = 17 /x

Switch the x and the cos 50

x = 17 / cos 50

x =26.44730506

Rounding to 2 decimal places

x = 26.45

8 0
3 years ago
A bag contains 77 apples and 55 oranges. if you select 66 pieces of fruit without​ looking, how many ways can you get 66 ​apples
yuradex [85]
77C55*55 = (77! X 66!/ 2) = 139,755

6 0
3 years ago
60 points if you help!
Bezzdna [24]

Answer: y -5 i did the math on my paper thanks and i hope this helps

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A cylinder has volume 78 cm3 . What is the volume of a cone with the same radius and height? A 26 cm3 B 39 cm3 C 156 cm3 D 234 c
otez555 [7]

Answer:

Option A - 26 \mathrm{cm}^{3}

Step-by-step explanation:

Given: The volume of a cylinder = 78 \mathrm{cm}^{3}

Let us substitute the volume of cylinder in the formula.

The formula for volume of a cone is V=\frac{\pi r^{2} h}{3}                    (1)

The formula for volume of a cylinder is V=\pi r^{2} h              (2)

Substituting V=78 in equation (2), we get,

\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}

Given that the cone has the same radius and height of that of the cylinder, let us substitute 78=\pi r^{2} h in equation (1)

\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}

Thus, the volume of a cone with the same radius and height of a cylinder is 26 \mathrm{cm}^{3}.

3 0
3 years ago
16. You found a shortcut to school that saves 5 minutes off of taking the freeway. About 1 in every 10 trips
kykrilka [37]

Answer:

  it saves 2.5 minutes

Step-by-step explanation:

The expected value of a random variable is the sum of products of possibilities and the probability of each.

Here, you have a probability of 0.9 of saving 5 minutes, and a probability of 0.1 of adding 20 minutes.

__

The expected value of the shortcut is ...

  0.9(-5) +0.1(20) = -4.5 +2.0 = -2.5

The shortcut is expected to save 2.5 minutes on average.

_____

<em>Additional comment</em>

The probability of 0.9 comes from the 9 of 10 trips that result in a time saving.

6 0
2 years ago
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