Answer: 32
Step-by-step explanation:
The expression that is equivalent to 2^2 divided by 2/2^4 would be calculated as:
= 2^2 ÷ 2/2^4
= 4 ÷ 2/16
= 4 ÷ 1/8
= 4 × 8
= 32
The expression would be equal to 32 based on the above calculation
Answer:
Step-by-step explanation:
<h3>Question </h3>
- It is given the ∆ABC≅∆FDE and AB=4 cm, ∠B=40⁰ and ∠E=60⁰, then which of the following is true.
- (A) DE=4cm, ∠A=80⁰
- (B) DE=4 cm, ∠C=80⁰
- (C) DF=4 cm, ∠A=80⁰
- (D) DF=4cm, ∠C=80⁰
<h3>Solution</h3>
<u>Corresponding sides and angles are:</u>
- AB ≅ FD
- ∠A≅∠F, ∠B≅∠D, ∠C≅∠E
<u>Given</u>:
- AB = 4 cm, so FD = 4 cm
- ∠B = 40⁰ and ∠E = 60⁰, so ∠D = 40⁰ and ∠C = 60⁰
and
- ∠A = ∠F = 180⁰ - (40⁰ + 60⁰) = 80⁰
Considering all above we see that correct answer option is (C)
For the given sentences, the algebraic expressions are:
a) N = 110*c - 300
b) N = 12*b
<h3>
How to get the algebraic expressions?</h3>
For the first statement:
A 3-digit number, where the tens digit is c, can be written as:
N = 100*a + 10*c + b
Then the hundreds digit is a, and here we know that is 3 less than the tens digit, then:
a = c - 3
The ones digit is b, here we know that it is 0, then b = 0.
Replacing that in our number we get:
N = 100*(c - 3) + 10*c = 110*c - 300
N = 110*c - 300
That is the algebraic expression.
b) A two-digit number can be written as:
N = b*10 + a
Where b is the tens digit and a is the ones digit.
Here we know that the units digit is twice as bit as the tens digit, then:
a = 2b
Replacing that we get:
N = b*10 + a = b*10 + 2b = 12*b
N = 12*b
That is the algebraic expression.
If you want to learn more about algebraic expressions:
brainly.com/question/4541471
#SPJ1
Answer:
C 20
Step-by-step explanation:
Set up equations:
Laguna's Truck Rentals
y = 2x + 20
Where x is the number of miles driven and y is the total price
<em>How did we get to this equation?</em>
Well, the company charges $2 for every mile driven. Therefore, by multiplying 2 and x, you will find the price paid per mile. The 20 (which represents $20) is the one-time payment you pay for simply using the service.
Salvatori's Truck Rentals
y = 3x
Where x is the number of miles driven and y is the total price
<em>How did we get to this equation?</em>
For this company, you only pay for how many miles you drive. There isn't a one-time payment like there is for Laguna's Truck Rentals. Therefore, you only need to multiply the price per mile ($3) by the number of miles driven (x).
Set the equations equal to each other:
2x + 20 = 3x
<em>Why would you do this?</em>
We need to set the equations equal to each other because we need to find the point at which the prices are the same. When two things are the same, they are equal. Therefore, we get rid of the y variable (which represents the total price) because we want to find the value of x when the equations are equal to one another.
Solve:
2x + 20 = 3x
Subtract 2x on both sides:
2x + 20 = 3x
-2x -2x
20 = x
When x is equal to 20, or when the number of miles driven is 20, the total price of the Truck Rental services is the same.
Hope this helps :)
I believe the most logical answer would be is to divide so us the kcf method keep change flip so 5 stays the same then change division into multiplication then flip the fraction 1/3 into 3/1 so now we have 5 times 3 is 15
