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2 years ago

Emily has 300 books. If Frank were to double the number of books that he now owns, he would still have fewer than Emily has.

Mathematics

1 answer:

Lady_Fox [76]2 years ago

7 0

2F<E, Emily has 300 books

3F<300 divide both sides by 3

F<100

Frank has less than 100 books.

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A landscaper earns $30 for each lawn her company mows, but she pays $210 per day in salary to her employees. If her company made

puteri [66]

54 Lawns or more to make $150 profit or more

3 0

3 years ago

Read 2 more answers

Find the value of the variable and MN if N is between M and Q. Round to the nearest hundredth if necessary.

Rudiy27

Answer:
MN = 4 units

Explanation:
1- getting the value of m:
We are given that:
NQ = 4m and NQ = 12
This means that:
12 = 4m
$\frac{4m}{4} = \frac{12}{4}$
m = 3

2- getting MQ:
We are given that:
MQ = 5m + 1
We have calculated that:
m = 3
Therefore:
MQ = 5(3) + 1 = 15 + 1 = 16 units

3- getting MN:
We are given that point N is located somewhere between points M and Q.
This means that:
line MQ can be divided into two portions: MN and NQ
This also means that:
length of MQ = length of MN + length of NQ

We have calculated that:
MQ = 16 units
We are given that:
NQ = 12 units
Therefore:
16 = length of MN + 12
length of MN = 16 - 12
length of MN = 4 units

Hope this helps :)

3 0

3 years ago

! URGENT ! -1 3/5 ÷ (-2/3) = ?

svetoff [14.1K]

Convert 1 3/5 to an improper fraction;

-1 × 5 + 3/5 ÷ -2/3

Simplify 1 × 5 to 5

-5 + 3/5 ÷ -2/3

Simplify 5 + 3 to 8

-8/5 ÷ -2/3

Use this rule: a ÷ b/c = a × c/b

-8/5 × 3/-2

Use this rule; a/b × c/d = ac/bd

-8 × 3/5 × - 2

Simplify 8 × 3 to 24

-24/5 × -2

Simplify 5 × -2 to -10

- 24/-10

Move the negative sing to the left

-(-24/10)

Simplify 24/10 to 12/5

-(-12/5)

Simplify brackets

12/5

Convert to a mixed fraction

= 2 2/5

8 0

2 years ago

Find the length of the curve y=3x^3/2 from x=0 to x=5/9

Alekssandra [29.7K]

$y=3x^{3/2}\implies y'=\dfrac92x^{1/2}$

The length of the curve is

$L=\displaystyle\int_0^{5/9}\sqrt{1+\left(\dfrac92x^{1/2}\right)^2}\,\mathrm dx=\int_0^{5/9}\sqrt{1+\dfrac{81}4x}\,\mathrm dx=\dfrac{335}{243}$

4 0

3 years ago

Joe bikes at the speed of 30 km/h from his home toward his work. If Joe's wife leaves home 5 mins later by car, how fast should

Dahasolnce [82]

Answer:

45 mph

Step-by-step explanation:

This is a really good question to know the answer to. It is tricky and a bit indirect (which means you have to find something else before you can find the speed of the car.)

Let's keep track of what he does in the time allotted.

How far does Joe go in 5 minutes? That's the amount of time he's on the road before she is.

convert 5 minutes into hours. 5 minutes * 1 hour / 60 minutes = 1/12 of an hour

d = r*t

r = 30 km/hour

t = 1/12 hour

d = 30 km/hr * 1/12 hour = 2.5 km

Now she's about to start. She wants to catch him in 10 minutes

d = r*t

r = x mph

t = 10 minutes = 10 minutes * 1 hour * 60 minutes = 1/6 of an hour.

How far does he go in the 10 minute time?

d = 30 * 1/6 = 5 km

What is his total distance

5 km + 2.5 km = 7.5 km

Finally how fast does she need to go to catch him

d = 7.5 km

r = ? This is what you are trying to find

t = 1/6 of an hour

d = r*t

7.5 km = r * (1/6)hour divide by 1/6 hour

7.5 km // 1/6 hour = r

r = 7.5 * 6 = 45 mph

6 0

3 years ago