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EastWind [94]
3 years ago
11

What is the value of x? Enter your answer in the box.

Mathematics
2 answers:
loris [4]3 years ago
8 0

Answer:

35

Step-by-step explanation:

Since all the angles are the same in this triangle, all the sides should be the same too.

Hence, 3x - 5 = 4x - 30

5 + -1x = -30

-1x = -35

x = 35

Hope this helped!

mylen [45]3 years ago
8 0

Answer:

Considering the fact that this is an equilateral triangle, x would equal 25

Step-by-step explanation:

since in an equilateral triangle all sides are equal, just pick 2 and solve for x

3x-5=2x+20

3x-2x=20+5

x=25

to check work,

4(25)-30=70

3(25)-5=70

2(25)+20=70

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frank bought 9/10 of a yard of fabric He will need 2/7 of a yard to make a small pillow How many pillows will be be able to make
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4 years ago
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5 × -92 = <br> Just a quick response on how to solve this, thanks a ton!
Colt1911 [192]

Answer:

-460

Step-by-step explanation:

I multiply by splitting the numbers into digits. So for the 90, in my head I did 5 × 90, which is 450. Then I did 2 × 5, this is 10. Now I added those up to make 460. Considering the 92 is negative, the answer will also be negative.

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4 years ago
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PLEASE ANSWER THIS . Goran's company makes solid balls out of scrap metal for various industrial uses. For one project, he must
Ainat [17]

Cost of aluminum required to make a ball of radius 7.5 inches is $ 161.71

<h3><u>Solution:</u></h3>

Given that  

Goran's company makes solid balls out of scrap metal for various industrial uses.

For one project, he must make aluminum balls that have a radius of 7.5 inches.

Cost of aluminum = $0.12 per cubic inches

Need to determine cost of aluminum to make one ball.

Lets first calculate the volume of one ball

As shape of the ball is sphere , we can use volume of sphere formula

\text {Volume of ball }=\text { Volume of sphere }=\frac{4}{3} \pi r^{3}

Where "r" is the raius of ball

Given that radius of required ball = 7.5 inches

\text { So, volume of ball of radius } 7.5 \text { inches }=\frac{4}{3} \pi \times 7.5^{3}

=\frac{4}{3} \times 3.14 \times 321.875=1347.5833 \text { cubic inches }

So quantity of aluminum required is same as volume of ball = 1347.5833 cubic inches  

Cost of aluminum for 1 cubic inch = $0.12

<em><u>So cost of aluminum required to make a ball of aluminium of 1347.5833 cubic inches is given as:</u></em>

=0.12 \times 1347.5833=\$ 161.71

8 0
3 years ago
A deck of 14 cards numbered 1 through 14 is dealt to Ken and Gunther so that each gets 7 cards. Each player's score is the sum o
aliya0001 [1]

Answer:

The different winning scores possible are 25 (from 28 to 52).

Step-by-step explanation:

  • The minimum score obtained by a player will be 28.

since, we divide 1-7 numbered to one and 8-14 to the other player such that    one receives the maximum and the other receives the minimum.

 the least minimum possibility is :28 as one get the card as(1,2,3,4,5,6,7).

while the other player gets 77 sum and loses.

  • for increasing this score now we give the number 1,2,3,4,5,6,8 to one of the player so that they sum upto 29 and will get the minimum score and wins while the other player gets 76 sum with the help of numbers{9,10,11,12,13,14,7} and loses.
  •    next possible minimum sum to win will be 30 by assigning 1,2,3,4,5,6,9 whereas the other gets the sum 75 and loses.
  • continuing in the same way we see that the minimum sum obtained to win will be 52( by assigning 2,3,6,7,9,12,13) while the other gets the sum 53 and loses.

    Hence, there are total 25 winning scores possible.  (from 28 to 52 i.e. 52-28=25).




4 0
3 years ago
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