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Likurg_2 [28]
2 years ago
15

014pts)

Mathematics
1 answer:
kap26 [50]2 years ago
7 0

Answer:

What does x equal ? <u>3</u><u>0</u>

What does < ABC equal? <u>100</u>

What does < DBC equal? <u>8</u><u>0</u>

Step-by-step explanation:

(3x + 10) + (2x + 20) = 180 \\ 5x + 30 = 180 \\ 5x = 180 - 30 \\ 5x = 150 \\  x =  \frac{150}{5}  \\  \\  x = 30

3x + 10  = 3(30) + 10 = 90 + 10 = 100

2x + 20 = 2(30) + 20 = 60 + 20 = 80

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A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded.
creativ13 [48]

Answer:

About 20%

Step-by-step explanation:

The probability of a point on the un-shaded region will be given by;

Area of the shaded region/total area

Considering that the circles are of the same size, then the length of the square is 2d

Area of the square = 4d²

Area of the shaded = (4d² -4π(d/2)²

                                = 4d² -πd², but π = 22/7

                                = 6/7d²

Probability = (6/7d² ÷ 4d²) × 100%

                  = (6/28 d²) × 100%

                  = 21.42 %

Therefore; the answer is about 20%

3 0
3 years ago
If frank has 380 condoms and he uses 180 in two weeks and by the 4th week he has 2 left how many did he use in 2 weeks (btws thi
anastassius [24]

You have said that he used 180 in the first two weeks.

That left him with 200 at the end of the first two weeks.
Then you said that he had 2 left after another 2 weeks.
So during those 2 weeks, he used (200 - 2) = 198 in the 2nd 2 weeks.

What we all expected has not happened at all:  Frank is not slowing down !

But, even so, we have to ask ourselves just what Frank is doing with them all.

Nobody can blame you for wondering.


6 0
3 years ago
Read 2 more answers
What caused the faulting and uplift in the central Texas ecoregions? a Earthquakes broke the continental crust. b A lot of sedim
devlian [24]

Answer:

Hello! Your answer is, A)Earthquakes broke the continental crust.

Step-by-step explanation:

Hope I helped! Ask me anything if you have any questions! Brainiest plz. Hope you make an 100% and have a nice day! -Amelia♥

3 0
3 years ago
Determine the constant of variation for the direct variation given.
ohaa [14]

Answer:

B. 5

Step-by-step explanation:

We have been given that R varies directly with S. When S is 16, R is 80. We are asked to find constant of variation.

We know that two directly proportional quantities are in form y=kx, where,

k = Constant of variation.

Upon substituting our given values, we will get:

R=k*S

80=k*16

\frac{80}{16}=\frac{k*16}{16}

5=k

Therefore, the constant of variation is 5 and option B is the correct choice.

6 0
3 years ago
The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4 if the perimeter of the triangle is 13.5 inches find the
marissa [1.9K]

Answer:

The shortest side of the triangle is 3 inches.

Step-by-step explanation:

Given:

The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4.

The perimeter = 13.5 inches.

Now, to find the shortest side.

<em>Let the one side be \frac{1}{6}x</em>

<em>And the second side be  \frac{1}{3}x.</em>

<em>And the third side be  \frac{1}{4}x.</em>

According to question:

\frac{1}{6}x+\frac{1}{3}x+\frac{1}{4}x=13.5

⇒\frac{x}{6}+\frac{x}{3}+\frac{x}{4}=13.5

Adding all the variables by taking common denominator we get:

⇒\frac{9x}{12}=13.5

<em>Multiplying both sides by 12 we get</em>:

⇒9x=162

<em>Dividing both sides by 9 we get</em>:

⇒x=18

Thus, <em>the sides of the triangle are</em>:

<u>1/6×18=3 inches.</u>

<u>1/3×18=6 inches.</u>

<u>1/4×18=9/2=4.5 inches</u>.

Therefore, the shortest side of the triangle is 3 inches.

4 0
3 years ago
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