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3 years ago

1. Given the system

Mathematics

1 answer:

stepladder [879]3 years ago

8 0

Answer:

1. (3,4) 2. (-1,2)

Step-by-step explanation:

1. We can solve this simultaneously:

2x + 3y = 18

-2x + 5y = 14 - we have to add the two equations

8y = 32

y = 4

Then we substitute y into one of the equations to get the value of x:

2x + 12 = 18

2x = 6

x = 3

So the answer is (3,4)

2. We can also solve this simultaneously:

3x + 4y = 5 - multiply this equation by 2

2x + 7y = 12 - multiply this equation by 3

6x + 8y = 10

6x + 21y = 36 - we subtract the equation above from this one

13y = 26

y = 2

Then we substitute y into one of the equations to get the value of x:

3x + 8 = 5

3x = -3

x = -1

So the answer is (-1,2)

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What is the volume of the can below? Use Pi = 3.14 and round your answer to the nearest tenth. A cylinder with height 96 millime

Serga [27]

Answer:

$328,268 mm^3$

Step-by-step explanation:

The can in this problem has a cylindrical shape. The volume of a cylinder can be calculated with the following formula:

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where

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In this problem we have:

h = 96 mm is the height of the can

d = 66 mm is the diameter of the can

So the radius of its base is

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3 years ago

Read 2 more answers

An excursion group of four is to be drawn from among 5 boys and 6 girls.

tresset_1 [31]

Answer:

Because you are recounting people several times. Say for example, let us number those people

{1,2,3,4} for the four girls and {1,2…7} for the boys.

One possible combination by your way is to fix one boy and girl each, say

{1,1} and then choose the remaining people. Let this combination be, for the sake of the example, {1,1,2,2,3}. This is a valid combination.

Now, when you fix another combination of a boy and a girl, say {1,2}, you could get the same combination as before because one the combinations while choosing the three remaining people would be {1,2,3}.

A correct way would be to choose girls and then choose 5− boys for 1≤≤4

So we get ∑4=1(4)(75−)=441

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3 years ago

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Blaire walked around her garden in the morning and saw that 18 of her tomato plants had tomatoes ready to pick. If this was 90%

vredina [299]

Blaire has 20 tomato plants altogether.

Step-by-step explanation:

Given,

Tomatoes plants ready to pick = 18

This represents 90% of total tomato plants.

Let,

x be the original number of tomato plants.

90% of x = 18

$\frac{90}{100}*x=18$

$0.9x=18$

Dividing both sides by 0.9

$\frac{0.9x}{0.9}=\frac{18}{0.9}$

$x=20$

Blaire has 20 tomato plants altogether.

Keywords: percentage, division

Learn more about division at:

#LearnwithBrainly

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3 years ago

A rectangle is 4 times as long as it is wide. The perimeter of a rectangle is 50 cm. What are the dimensions of the rectangle?

marissa [1.9K]

We use the equation 2x+8x=50.

10x=50
x=5

The rectangle will be 20 cm long and 5 cm wide.

Hope this helps!

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3 years ago

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only 93% of the airplane parts being examined pass inspection. what is the probability that the next 5 parts examined will all p

DedPeter [7]

Answer:

Question 4 pts Only 93% of the airplane parts being examined pass Inspection: What is the probabllity that the next 5 parts examined will all pass inspection? (Write your probability a5 decimal rounded to the nearest thousandth or third decimal place):

Step-by-step explanation:

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2 years ago