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Tcecarenko [31]
3 years ago
12

I need help with both questions.

Mathematics
1 answer:
Nikitich [7]3 years ago
4 0

Answer:

15 and 270

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{a} = a

\sqrt[3]{a} × \sqrt[3]{a} × \sqrt[3]{a} = a

(a)

Given

(\sqrt{5} )² × (\sqrt{3} )²

= 5 × 3

= 15

(b)

Given

(\sqrt[3]{9} )³ × (\sqrt{30} )²

= 9 × 30

= 270

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Exponents represent repeated:
Molodets [167]

Answer:

An expression that represents repeated multiplication of the same factor is called a power. The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor.

Step-by-step explanation:

6 0
3 years ago
Bob has two weekend jobs last weekend he made a total of $77 after working as a cashier for 5 hours and delivering newspapers fo
OlgaM077 [116]

Answer: $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.

Step-by-step explanation:

1. Let's call the amount he got paid per hour at his job as a cashier: x.

Let's call the amount he got paid per hour at his job delivering newspapers: y.

2. Keeping on mind the information given in the problem above, you can make the following system of equations:

\left \{ {{5x+4y=77 \atop {6x+3y=78}} \right.

3. You can solve it by applying the Substitution method, as following:

- Solve for one of the variables from one of the equations and substitute it into the other equation to solve for the other variable and calculate its value.

- Substitute the value obtained into one of the original equations to solve for the other variable and calculate its value.

 4. Therefore, you have:

5x+4y=77\\5x=77-4y\\x=\frac{77-4y}{5}=15.4-0.8y

Then:

6(15.4-0.8y)+3y=78\\92.4-4.8y+3=78\\-1.8y=-14.4\\y=8

Finally:

5x+4(8)=77\\5x+32=77\\5x=45\\x=9

Therefore he got paid $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.

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Sveta_85 [38]
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1/4

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\text{Probability of an event:}

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\text{So the chance that you draw out a diamond from a deck}=\frac{1}{4} .

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2 years ago
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