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2 years ago

three times the sum of a number x and 3 is 10 plus twice the difference of the number x and another number y

Mathematics

1 answer:

Nadya [2.5K]2 years ago

4 0

Step-by-step explanation:

We have 3(x + 3) = 10 + 2(x - y).

=> 3x + 9 = 10 + 2x - y

=> x = 1 - y

=> y = 1 - x.

(Rewritting it as a mathematical statement is the 1st line)

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Find the value of x in the triangle. Round your answer to the nearest tenth of a degree. Show your work

Veseljchak [2.6K]

<h3>Solution:</h3>

$\tan(x) = \frac{15}{8} \\ x = \arctan(\frac{15}{8}) \\ x ≈ 61.93$

<h3>Answer:</h3>

$61.93$

5 0

3 years ago

A box contains 65 balls numbered from 1 to 65. If 9 balls are drawn with replacement, what is the probability that at least two

lesya692 [45]

Answer:

Probabilty= 7.66*10^-3

Step-by-step explanation:

A box contains 65 balls numbered from 1 to 65.

9 balls are drawn with replacement.

Probabilty of selecting a number = 1/65

Probabilty of selecting a number

= 0.0154

Probabilty of at least 2 numbers out of 9 selected to have Same number

Probabilty= 9C2(0.0154)^2(0.9846)^7

Probabilty= 7.66*10^-3

6 0

2 years ago

Is x+y^3=27 a function?

inna [77]

Yes, its a function b/c y is a function of x.

5 0

3 years ago

(18 - ab) + 4b (if a = -2 and b = -5)

ivanzaharov [21]

Answer:

-12

Step-by-step explanation:

if a=-2 and b=-5

(18-(-2×-5))+4(-5)

(18-(10))-20

8-20

-12

just gotta plug in the given into the equation

5 0

3 years ago

Read 2 more answers

Charlie is trying to cover the shape shown with paper. He will NOT be covering the top and the bottom. How much paper will he ne

DENIUS [597]

You need to determine how much paper you need to cover the lateral side of the cylinder shown in the picture. For this, you have to calculate the surface area of the cylinder, which you can do using the following formula:

$A=2\pi rh$

Where

A is the area

π is the number pi, for the calculations we usually use up to the first two decimal values of this number, 3.14

r is the radius

h is the height of the cylinder

The given cylinder has a height of h=15m and a diameter of d=6m

To calculate the lateral area you need to use the radius. The diameter is twice the radius, so to determine the radius of the cylinder you have to divide the diameter by 2

$\begin{gathered} r=\frac{d}{2} \\ r=\frac{6}{2} \\ r=3 \end{gathered}$

Now you can calculate the lateral area as follows:

$\begin{gathered} A=2\pi rh \\ A=2\cdot3.14\cdot3\cdot15 \\ A=282.6m^2 \end{gathered}$

Charlie will need 282.6 m² to cover the lateral side of the cylinder.

6 0

1 year ago