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3 years ago

5

karen read 20 pages of her book in half an hour.if she read for 3 hours at that same rate about how many pages of her book can k

aren read

1 answer:

Julli [10]3 years ago

4 0

If she read 20 in half an hour how many can she read in 1 hour=40
so, that gets you 120 the answer is she can read 120 pages in 3 hours

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2 dogs/ 3 cats and 10 dogs/ 15 cats are an example of

Bad White [126]

2 dogs/ 3 cats and 10 dogs/ 15 cats are an example of

b. Equivalent ratios
__________________________

$\frac{10 \: dogs}{15 \: cats} = \frac{5 \times 2 \: dogs}{ 5 \times 3 \: cats} = \frac{2 \: dogs}{3 \: cats} \\$

We can see that they are equivalent ratios.

6 0

3 years ago

What is the value of x in a 30-60-90 triangle with a hypotenuse of x+12 and a longer side of x?

enot [183]

In a 30 - 60 - 90 triangle the side opposite the hypotenuse is 1/2 the hypotenuse and which will be the shorter side. Read this over a couple of times till you realize that (x + 12)/2 is the shortest side.

[(x + 12) / 2]^2 + x^2 = (x + 12)^2 subtract [(x + 12)/2]^2 from both sides.

x^2 = (x +12)^2 - [ (x +12)/2]^2
x^2 = (x + 12)^2 [ 1 - (1/2)^2] You were given this as a question in school? It seems awfully hard.
x^2 = (x + 12)^2 [3/4]
4x^2 = 3*(x^2 + 24x + 144)
4x^2 = 3x^2 + 72x + 432
x^2 - 72x - 432 = 0 This is a quadratic, do you know what they are?
The solution to this comes to x = 77.56

I don't think I made a mistake, but it is sure possible.Check the numbers and my method.

4 0

3 years ago

A new shopping mall records 120 total shoppers on their first day of business. Each day after that, the number of shoppers is 10

Iteru [2.4K]

Answer:

$1,139\ shoppers$

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

$y=a(b)^{x}$

where

a is the initial value or y-intercept

b is the base of the exponential function

r is the rate in decimal form

b=(1+r)

In this problem we have

x ----> the number of days

y ----> the number of shoppers

a=120

r=10%=10/100=0.10

b=1+0.10=1.10

substitute the values

$y=120(1.10)^{x}$

First day

$y=120$

Second day

For x=1 day

substitute the value of x in the equation and solve for y

$y=120(1.10)^{1}=132$

Third day

For x=2 days

$y=120(1.10)^{2}=145$

Fourth day

For x=3 days

$y=120(1.10)^{3}=160$

Fifth day

For x=4 days

$y=120(1.10)^{4}=176$

Sixth day

For x=5 days

$y=120(1.10)^{5}=193$

Seventh day

For x=6 days

$y=120(1.10)^{6}=213$

Adds the numbers

$120+132+145+160+176+193+213=1,139$

3 0

3 years ago

Read 2 more answers

Nady [450]

<h3>Multiplication Property of Equality is the missing reason</h3>

<em><u>Solution:</u></em>

Given that,

five thirds times x plus 2 equals negative 3

Therefore,

$\frac{5}{3}x + 2 = -3$

<em><u>Multiplication Property of Equality</u></em>

The Multiplication Property of Equality means that, if both sides of an equation is multiplied by same number, the equation still remains equal

$\frac{5}{3}x + 2 = -3$

Multiply both sides by 3

$3(\frac{5}{3}x + 2) = -3 \times 3\\\\5x + 6 = -9$

<em><u>Subtraction Property of Equality</u></em>

The Subtraction Property of Equality means that, we can subtract the same number from both sides of equation and the equation will still be true

5x + 6 = -9

Subtract 6 from both sides

5x + 6 - 6 = -9 - 6

5x = -15

<em><u>Division Property of Equality</u></em>

The Division Property of Equality means that, if both sides of an equation is divided by same number, the equation still remains true

5x = -15

Divide both sides by 5

x = -3

4 0

3 years ago

Read 2 more answers

What is the answer to 8 3n/12=13?

Greeley [361]

Does this say 8 × 3n/12=13? I want to be sure so I don't give you the wrong answer.

7 0

3 years ago