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andriy [413]
2 years ago
13

One number is larger than another by 9. If the greater number is increased by 10, and the lesser number is tripled, the sum of t

he two would be -41. What are the two numbers
Mathematics
1 answer:
kkurt [141]2 years ago
7 0

Answer:

The larger number is -6, the smaller number is -15

Step-by-step explanation:

We have two numbers, a and b.

We know that one number is larger than another by 9.

Then we can write:

a = b + 9

then a is larger than b by 9 units.

If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:

(a + 10) + 3*b = -41

So we got two equations:

a = b + 9

(a + 10) + 3*b = -41

This is a system of equations.

One way to solve this is first isolate one variable in one of the two equations:

But we can see that the variable "a" is already isolated in the first equation, so we have:

a = b + 9

now we can replace that in the other equation:

(a + 10) + 3*b = -41

(b + 9) + 10 + 3*b = -41

now we can solve this for b.

9 + b + 10 + 3b = -41

(9 + 10) + (3b + b) = -41

19 + 4b = -41

4b = -41 -19 = -60

b = -60/4 = -15

b = -15

then:

a = b + 9

a = -15 + 9 = -6

a = -6

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18 is ( blank ) % of 30
meriva
Make an equation.

'is' is an equal sign

The blank can be 'x'

'of' = multiplication

18 = x * 30

Multiply:

18 = 30x

Divide 30 to both sides:

x = 0.6

Multiply by 100:

0.6 * 100 = 60%
4 0
3 years ago
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Please help thank you
allochka39001 [22]
I think it's 20. Sorry if it's wrong
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3 years ago
Which statement about the sum of the interior angle measures of a triangle in Euclidean and non Euclidean geometries are true
Sati [7]
Where are the statements?
7 0
3 years ago
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a pollster wishes to estimate the proportion of united states voters who favor capital punishment. how large a sample is needed
olasank [31]

The sample size must be 543 so the sample proportion is will not differ by 5%

We are given the following in the question:

Margin of error = 5%

Confidence interval:

p ±z√(p'(1 - p')/n)

Margin of error =

p = ±z√(p'(1 - p')/n)

Since no particular proportion is given, we take

p' = 0.5

Z critical at α 0.02 is ± 2.33

Putting values, we get,

p = ±z√(p'(1 - p')/n)

2.33 x √(0.5(1 - 0.5)/n)

√n = 2.33x 0.5/0.05

n = 542.89 = 543

Thus, the sample size must be 543 so the sample proportion is will not differ by 5%

To learn more about confidence interval refer here

brainly.com/question/15712887

#SPJ4

3 0
1 year ago
Please help it’s due at12!!!
Goshia [24]

Answer:

$2.25 per ft² (I think)

Step-by-step explanation:

Subtract 4.9 from 6.4 to get 1.5

Multiply 6.4 by 1.5 and multiply 4.9 by 1.5

Then you get 9.6 and 7.35

Subtract 7.35 from 9.6 and get 2.25

7 0
3 years ago
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