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Inessa05 [86]
3 years ago
6

mark is 11 years older than his sister. In 8 years he will be twice as old as she will be then. How old are they now

Mathematics
1 answer:
Whitepunk [10]3 years ago
8 0

Answer: 14 years old and his sister is 3 years old

Step-by-step explanation:

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Blake gives piano lessons in the evenings.
Aliun [14]

Answer:

<u>The correct answer is B. {0, 20, 40, 60, 80, 100, 120}</u>

Step-by-step explanation:

1. Let's check all the information given to answer this question correctly:

Rate of each piano lesson Blake gives = US$ 20

Blake can give between 0 and 6 lessons every evening

Earnings = Number of lessons * Rate of each lesson

2. What is the range of this relation?

Let's recall that the domain of a relation is the set of all values for which the relation is defined, and the <u>range</u> of the relation is the set of all values that the relation takes.

It means that the domain of the relation in this case is the number of lessons that Blake can give every evening:

{0, 1, 2, 3, 4, 5, 6}

And the <u>range </u>of this relation is the amount Blake earns in an evening depending on the number of lessons he gives:

{0, 20, 40, 60, 80, 100, 120}

<u>The correct answer is B. {0, 20, 40, 60, 80, 100, 120}</u>

3 0
3 years ago
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Prove that:<br>tan80°=2tan 70°+ tan10°​
Angelina_Jolie [31]
Tan80=5.67
2tan70+tan10=5.67

So tan80=2tan70+tan10
8 0
3 years ago
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Solve for x in a triangle. Round your answer to the nearest hundredth
Molodets [167]
16cos(28). Type that in like last time.
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A quadrilateral with vertices at A(4, –4), B(4, –16), C(12, –16), and D(12, –4) has been dilated with a center at the origin. Th
erastova [34]
I think the answer is 3, because D(12;-4) and D' is (36;-12). Then 36/12=3, -12/-4=3
(I hope it's true)!!! :)
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3 years ago
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Given that√7=2.65 and √70=8.37,find the value of
dolphi86 [110]

Answer:

A) 0.265

B) 0.0265

C) 0.837

D) 0.0837

E) 0.00265

F) 0.00837

Step-by-step explanation:

We are given;

√7 = 2.65 and √70 = 8.37

A) √0.07 can be rewritten as;

√(7 × 1/100)

Let's deal with the digits in the bracket.

Square root of 100 is 10. Thus;

√(7 × 1/100) = (1/10)√7 = (1/10) × 2.65 = 0.265

B) √0.0007

Rewrite to get;

√(7 × 1/10000)

Square root of 1/10000 is 1/100

Thus;

√(7 × 1/10000) = (1/100)√7 = (1/100) × 2.65 = 0.0265

C) √0.7

Like above;

√0.7 = √(70 × (1/100))

>> (1/10)√70 = (1/10) × 8.37 = 0.837

D) √0.007

Like above;

Rewrite to get;

√(70 × 1/10000)

Square root of 1/10000 is 1/100

Thus;

√(70 × 1/10000) = (1/100)√70 = (1/100) × 8.37 = 0.0837

E) √0.000007

Rewritten to;

√(7 × (1/1000000))

√(1/1000000) = 1/1000

Thus; √(7 × (1/1000000)) = 1/1000 × √7 = 1/1000 × 2.65 = 0.00265

F)√0.00007

Rewritten to;

√(70 × (1/1000000))

√(1/1000000) = 1/1000

Thus; √(70 × (1/1000000)) = 1/1000 × √70 = 1/1000 × 8.37 = 0.00837

8 0
3 years ago
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