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1 year ago

Luther evaluated 23 as 9 and Wade evaluated 32 as 9. Are both students correct? Explain why or why not.

2 answers:

7 0

The answer

let A= 2^3 and B=3^2

the main formula is as following:

a^n = axaxax ....xa (n times), for all n upper than or equal 1
for example
a^3 = a x ax a

in our case
A= 2^3 = 2x2x2= 4x2 =8
B=3^2 = 3x 3= 9
so, Luther's evaluation was wrong, by contrast Wade evaluated 32 as 9 correctly

Artist 52 [7]1 year ago

6 0

Answer:

Sample Response: The two powers are not equal. Wade is correct, but Luther misinterpreted 2 to the power of 3 as 2 factors of 3. He switched the base and exponent. Luther’s value should be 2 times 2 times 2, which is 8.

Step-by-step explanation: Hope this helps leave a 5 star pls :)

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6 times 7 = 42 hope helped

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2 years ago

I rent a gym for $150.00 for 30 students. Another time I rent the gym for $270.00 for 70 students. I need to find a fixed rate.

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Answer: y = 3x + 60

Step-by-step explanation:

Set up two equations and solve the system:

270 = 70x + b

- (150 = 30x + b)

120 = 40x

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Input "x" into one of the equations and solve for "b":

150 = 30x + b

150 = 30(3) + b

150 = 90 + b

60 = b

Equation: y = 3x + 60

This means that there is a flat fee of $60 plus a rate of $3 per student

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2 years ago

Quadrilateral A’B’C’D’ is a dilation of quadrilateral ABCD about point P. Quadrilateral ABCD is shown. Side AB is labeled 5. Sid

Stolb23 [73]

Answer: The correct option is (A) reduction.

Step-by-step explanation: Given that the quadrilateral A'B'C'D' is a dilation of the quadrilateral ABCD.

As shown in the given figure, the lengths of the sides of quadrilateral ABCD are as follows:

AB = 5 units, BC = 4 units, CD = 10 units and DA = 6 units.

And, the lengths of the sides of quadrilateral A'B'C'D' are as follows:

$A'B'=1\dfrac{1}{4}=\dfrac{5}{4}~\textup{units},~~B'C'=1~\textup{units},~~C'D'=2\dfrac{1}{2}=\dfrac{5}{2}~\textup{units},\\\\D'A'=1\dfrac{1}{2}=\dfrac{3}{2}~\textup{units}.$

We know that the dilation will be an enlargement if the scale factor is greater than 1 and it will be a reduction if the scale factor is less than 1.

Now, the scale factor is given by

$S=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the corresponding side of the original figure}}\\\\\\\Rightarrow S=\dfrac{A'B'}{AB}=\dfrac{\frac{5}{4}}{5}=\dfrac{5}{4\times5}=\dfrac{1}{4}$

Since the scale factor is less than 1, so the dilation will be a reduction.

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1 year ago

Read 2 more answers

Arthur borrowed $2,100 from the bank. 3 years later, Arthur owes the bank $2,478. What was the percentage rate of simple interes

ASHA 777 [7]

Answer:

Percentage Rate=6%

Step-by-step explanation:

Total borrowed=$2,100

Time=3 years

Rate=?

Total amount owed after 3 years= total borrowed + simple interest

$2,478=$2,100 + x

X=$2,478 - $2,100

=$378

The simple interest=$378

Simple interest=P×R×T

Where,

P= principal=$2,100

R=Rate=?

T=Time=3 years

Simple interest=$378

Simple interest=P×R×T/100

$378=$2,100×R×3/100

$378=$6,300R/100

$378=$63R

R=$378/$63

R=6

Therefore,

Rate=6%

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2 years ago

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What is the answer to 13p12=

tiny-mole [99]

Answer:

156p

Step-by-step explanation:

13p×12

multiply the numbers

= 156p

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2 years ago

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