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swat32
3 years ago
14

marcia is typing her report for history class. She can type 4 pages in 45 minutes. At that rate, how many pages does she type pe

r hour? Round to the nearest hundredth.
Mathematics
2 answers:
Andrew [12]3 years ago
6 0

Answer:

Step-by-step explanation:

3/4 of an hour is the same as 0.75

Write a proportion.

4 (pages)/0.75 (hours)=p(pages)/1 hour

Cross multiply and divide

(4x1)÷0.75=5.33 (rounded to the nearest hundred)

p=5.33

Marcia can type 5.33 pages per hour.

KATRIN_1 [288]3 years ago
5 0

Answer:

5.34 pages/h

Step-by-step explanation:

4/45 = p/60

p ≈ 5.34

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If x = 5 cm, y = 12 cm, and z = 13 cm, what is the surface area of the geometric shape formed by this net?
Lera25 [3.4K]

Answer:

the answer is C.  210 sq. cm

Step-by-step explanation:

Find the area of the triangle

The area of one of the triangular faces can be found by using the formula below.  

a = 1/2 bh

a = 1/2 (5 cm) (12 cm)

a = 30 sq. cm

Since there are two triangular faces, multiply the area of one triangular face by 2. The area of two triangular faces is 60 cm2.

Next, find the area of each of the three rectangular faces using the formula, area = lw.

1st rectangle

a = lw

a =  (5 cm) (5 cm)

a = 25 sq. cm

2nd rectangle

a = lw

a = (5 cm) (12 cm)

a = 60 sq. cm

3rd rectangle

a = lw

a = (5 cm) (13 cm)

a - 65 sq. cm

Add the three rectangle areas to find a total of 150 sq. cm.

To find the surface area of the triangular prism, add the area of the two triangular faces to the area of the three rectangular faces.

60 sq. cm + 150 sq. cm = 210 sq. cm

4 0
3 years ago
How to solve an expression with variables in the exponents?
gtnhenbr [62]

Answer:

  use logarithms

Step-by-step explanation:

Taking the logarithm of an expression with a variable in the exponent makes the exponent become a coefficient of the logarithm of the base.

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You will note that this approach works well enough for ...

  a^(x+3) = b^(x-6) . . . . . . . . . . . variables in the exponents

  (x+3)log(a) = (x-6)log(b) . . . . . a linear equation after taking logs

but doesn't do anything to help you solve ...

  x +3 = b^(x -6)

There is no algebraic way to solve equations that are a mix of polynomial and exponential functions.

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Some functions have been defined to help in certain situations. For example, the "product log" function (or its inverse) can be used to solve a certain class of equations with variables in the exponent. However, these functions and their use are not normally studied in algebra courses.

In any event, I find a graphing calculator to be an extremely useful tool for solving exponential equations.

8 0
3 years ago
You are taking an exam and there are still many questions left to be solved. You already got 18 questions correct out of 25. The
UkoKoshka [18]

The answer is 2

Step-by-step explanation: 100% is the highest score you can have  . then you have to divide 25 by 100 because 25 is the total amount of questions ,you should get 4,wich means each question is worth 4 points.

18 correct is a score of 72

20 correct is a score of 80

4x2=8 wich you need 8 more to get to 80 from 72

feel free to ask for more help :)

8 0
4 years ago
You buy 4 pieces of chicken for $8.80. Write an equation that can be used to express the relationship between the total price t
Phoenix [80]

Answer:

t=$2.20c

Step-by-step explanation:

4 pieces of chicken for $8.80

Cost of 4 pieces of chicken=$8.80

$8.80/4=$2.20 for each chicken

t=$2.20c

5 0
3 years ago
Read 2 more answers
Why is the product of 3\5 and 250 smaller than 250?
victus00 [196]
Because you are not multiplying 250 by a number larger than 1. If you multiply 250 by a number larger than 1 the product will be larger than 250. If you multiply 250 by a number less than 1 the product will be less than 250.

Hope that helps!
7 0
3 years ago
Read 2 more answers
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