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daser333 [38]
2 years ago
7

The sum of two numbers is 100. The sum of 8 and the larger number is equal to 5 times the smaller number. What is the smaller nu

mber?
Mathematics
2 answers:
Finger [1]2 years ago
7 0

Answer:

The smaller number is 18.

Step-by-step explanation:

We have given that

The sum of two numbers is 100. The sum of 8 and the larger number is equal to 5 times the smaller number.

Let x and y are two numbers.

Let y is the larger number.

x+y  = 100      eq(1)

y+8 = 5x         eq(2)

From eq(1), we have

y  = 100-x

Putting above eq(3) into eq(2), we have

100-x+8 = 5x

108 = 5x+x

108 = 6x

x  = 108/6

x = 18

Hence, the smaller number is 18.

garik1379 [7]2 years ago
6 0

Answer:

The smaller number is 18

Step-by-step explanation:

Let the numbers be x and y where x is the smaller number; y\:>\:x.

The sum of the numbers is 100.

x+y=100...(1)

The sum of 8 and the larger number is equal to 5 times the smaller number.

y+8=5x

\Rightarrow y=5x-8...(2)

Put equation (2) into equation (1).

x+5x-8=100

x+5x=100+8

6x=108

x=18

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A tower stand on a horizontal plane. P is the top and Q is the bottom of the tower. A and B are two points on this plane such th
pochemuha

Answer:

32√5

Step-by-step explanation:

We have the right triangles PQA and PQB as well as the given right triangle QAB.

cot(PAQ) = 2/5 = QA/PQ

cot(PBQ) = 3/5 = QB/PQ

cot(PAQ) / cot(PBQ) = (2/5) / (3/5) = 2/3

cot(PAQ) / cot(PBQ) = (QA/PQ) / (QB/PQ) = QA / QB

QA / QB = 2/3

QA = (2/3) QB

QB = (3/2) QA

By the Pythagorean Theorem we have:

(QA)² + 32² = (QB)²

(QA)² + 32² = (3/2 QA)²

(QA)² + 1024 = (9/4) (QA)²

(5/4) (QA)² = 1024

(QA)² = (4/5)1024 = 4096/5

QA = 64/√5

Solve for PQ.

cot(PAQ) = QA/PQ

PQ = QA / cot(PAQ)

PQ = (64/√5) / (2/5) = 32√5

The height of the tower is 32√5.

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3 years ago
Need the answer plzz
Dmitrij [34]

Answer:

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Jake rolls a six-sided die, numbered 1 to 6, five times. He rolls a 3 on two attempts.
matrenka [14]
I do believe that the answer to your question is 60%
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Answer:

4^18

Step-by-step explanation:

4^18 = 2^36

(4^−3)^−6? = 2^36

Please visit: https://youtu.be/_0Ft9HdNg5c

Thanks.

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I hope it helped. Give Brainly if it help

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