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3 years ago

Can someone answer all these questions

Mathematics

1 answer:

k0ka [10]3 years ago

4 0

If the perimeter is 16' the sum of the length and width must be 8'. Assuming that area is non 0 possible dimensions are:

1x7 2x6 3x5 4x4 5x3 6x2 7x1

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The cost of catering a dinner is $11.95 per person plus $25 for delivery and setup. Which statement is true about the graph of t

sattari [20]

Answer:

Step-by-step explanation:

6 0

3 years ago

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PLSSSSSSSSSSSSSSSSSSSSSSS

Bumek [7]

Answer:

x=68 the answer

plz mark me branliest

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3 years ago

Determine the value of the variable in the product of powers.

aleksandrvk [35]

Answer:

1. x = - 3

2. y = -9

3. n = 0

Explanation:

The expressions are garbled. The correct expressions to determine the product of powers are:

1. What is the value of x in the product of powers $5^5\cdot 5^x=5^2$ ?

2. What is the value of y in the product of $p^{-3}\cdot p^{-6}=p^y$ ?

3. What is the value of n in th product of $9^2\cdot 9^{-7}\cdot 9^n=9^{-5}$ ?

<h2>Solutions</h2>

1. What is the value of x in the product of powers $5^5\cdot 5^x=5^2$ ?

Apply the rule of the product of powers with the same base to the left side of the equality.

The product of two powers with the same base is the base raised to the sum of the exponent:

$5^5\cdot5^x=5^{(5+x)}$

Now the power on the left side has the same base as the power on the right side, so the exponents are the same:

5 + x = 2

x = 2 - 5

x = - 3

2. What is the value of y in the product of $p^{-3}\cdot p^{-6}=p^y$ ?

Again, the product of the two powers on the left side is equal to the common base raised to the sum of the exponents:

On the left side, you get:

$p^{-3}\cdot p^{-6}=p^{(-3-6)}=p^{-9}$

Then,

$p^{-9}=p^y\\\\-9=y\\\\y=-9$

3. What is the value of n in th product of $9^2\cdot 9^{-7}\cdot 9^n=9^{-5}$ ?

Same rule:

Left side:

$9^2\cdot 9^{-7}\cdot 9^n=9^{(2-7+n)}=9^{(-5+n)}$

Left side equal to right side:

$9^{(-5+n)}=9^{-5}\\\\-5+n=-5\\\\n=-5+5\\\\n=0$

8 0

3 years ago

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A class has 32 pupils if 12 are boys what percent are girls

valina [46]

So 12 out of 32=12/32=6/16=3/8

percent means parts out of 100 so
x/100=x%

3/8=0.375/1
0.375/1 times 100/100=37.5/100=37.5%

answer is 37.5%

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4 years ago

What is the common difference between the elements of the arithmetic sequence below?

Dennis_Churaev [7]

The sequence:

-18 , -22.5 , -27 , -31.5 , -36

Common difference:

(-18 - -22.5) = (-22.5 - -27) = (-27 - -31.5) = (-31.5 - -36) = 4.5 ( When two minuses come together, they make a plus. So difference is certainly the positive next number - positive previous number to give 4.5)

Common difference = 4.5

Type of the sequence: Arithmetic sequence.

8 0

3 years ago