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NNADVOKAT [17]
4 years ago
10

A student bought a book for $7 and a pen. The total cost was $9. Which of the following equations can be used to find the cost o

f the pen?
Mathematics
2 answers:
Fynjy0 [20]4 years ago
4 0

Answer:

7+x=9

Step-by-step explanation:

if you subtract 7 from both sides of this you will get x=2 so the pen is $2

anygoal [31]4 years ago
3 0
<h2>Solution :</h2>

Total cost = $9

Cost of book = $7

Let the cost of pen be = x

Thus,

x+$7=$9

x=$9-$7

x=$2

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In a 10 mile race, Janet covered the first 2 miles at a constant rate. She then sped up and rode her bike the last 8 miles at a
xenn [34]

Answer:

0.83\text{ miles per minute}

Step-by-step explanation:

GIVEN: In a 10 mile race, Janet covered the first 2 miles at a constant rate. She then speed up and rode her bike the last 8 miles at a rate that was 0.5 miles per minute faster. Janet's overall time would have been 2 minutes faster had she ridden her bike the whole race at the faster pace.

TO FIND: What was Janet's average speed (in miles per minute) for the whole race?

SOLUTION:

let the speed of Janet in first 2\text{ miles}  =x\text{ miles per minute}

speed of Janet's bike in last 8\text{ miles}  =x\text{+0.5 miles per minute}

total time taken by Janet,

\text{Time}=\frac{\text{distance}}{\text{speed}}

\text{Time taken}=\frac{2}{x}+\frac{8}{x+0.5}\text{minute}

Time taken if Janet rides whole race at faster pace =\frac{10}{x+0.5}\text{minute}

 

As, Janet's overall time would have been 2\text{ minutes} faster had she ridden her bike the whole race at the faster pace.

\frac{2}{x}+\frac{8}{x+0.5}=\frac{10}{x+0.5}+2

\frac{2}{x}-\frac{2}{x+0.5}=2

\frac{1}{x}-\frac{1}{x+0.5}=1

x^{2} +0.5x-1=0

on solving we get

x=0.5\text{ miles per minute}

\text{Time taken}=\frac{2}{x}+\frac{8}{x+0.5}\text{minute}

\text{Time taken}=\frac{2}{0.5}+\frac{8}{1}\text{minute}

\text{Time taken}=\frac{2}{x}+\frac{8}{x+0.5}\text{minute}

\text{Time taken}=12\text{minute}

Average speed =\frac{\text{total distance}}{\text{time taken}}

Average speed =\frac{10}{12}=0.83\text{miles per minute}

Therefore average speed of Janet was 0.83\text{ miles per minute}

4 0
3 years ago
What is the definition of principal square root in math?
gizmo_the_mogwai [7]
A square root of a number a is a number y such that y2 = a; in other words, a number y whose square (the result of multiplying the number by itself, or y⋅y) is a.[1] For example, 4 and −4 are square roots of 16 because 42 = (−4)2 = 16. Every nonnegative real number a has a unique nonnegative square root, called the principal square root, which is denoted by √a, where √ is called the radical sign or radix. For example, the principal square root of 9 is 3, denoted √9 = 3, because 32 = 3 • 3 = 9 and 3 is nonnegative. The term whose root is being considered is known as the radicand. The radicand is the number or expression underneath the radical sign, in this example 9.
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4 years ago
A car manufacturer is reducing the number of incidents with the transmission by issuing a voluntary recall. During week 2 of the
Levart [38]

Answer:

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6 0
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If f(x) = -3 and g(x) = 3x2 + x - 6, find (f+ g)(x).
barxatty [35]

Answer:

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Step-by-step explanation:

f+g

means you are going to add whatever f equals to what g equals

so you have

(-3)+(3x^2+x-6)

Combine like terms

3x^2+x+(-3+-6)

3x^2+x+-9

or

3x^2+x-9

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Are the expressions 3(x + y) + 2y + 10 and x + 5y + 2(x + 5) equivalent?
erastova [34]

Answer: x^5/x^1 = x^4

y^2/y^2 = 1

so

x^4

here is were I got it : https://www.jiskha.com/questions/1673336/1-which-of-the-following-is-equivalent-to-x-5y-2-xy-2-when-x-not-0-and-y-not-0-a

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