Carolyn drove from her home to school at 40 mph and was 10
minutes late. The next day she drove to school at 60 mph and was
10 minutes early. How far is Carolyn's school from her home? Please explain also I will give brainliest

Answer:

[tex]c=\sqrt{32}[/tex]

Step-by-step explanation:

When we solve for this we should always remember this formula [tex]a^2+b^2=c^2[/tex] and since we already know a and b we can plug that in to find out what c could be but we won't actually solve it.

[tex]a^2+b^2=c^2\\4^2+4^2=c^2\\16+16=c^2\\32=c^2\\\sqrt{c^2}=\sqrt{32}\\c=\sqrt{32}[/tex]

So c would equal whatever the square root of 32 is.

Answer:

to make sure you understand the question

Step-by-step explanation:

Answer:

Most likely to help you understand the answer so that if you run into a problem similar you don't have to look it up

Step-by-step explanation:

Answer:

1.04167

Step-by-step explanation:

Z -score formula is given as

z = (x-μ)/σ, where

x is the raw score = 74

μ is the population mean = 69

σ is the population standard deviation = 4.8

Z score = x - μ/ σ

= 74 - 69/4.8

= 1.04167

The z score for a person is given as 1.04167

Answer:

A. 2/20

Step-by-step explanation:

2/20 = 1/10

2/15 = 2/15

2/10 = 1/5

Answer:

Points B,C and D

Step-by-step explanation:

Hope I helped :)

Answer:

Hello and (B) is correct and I would like to say GREAT JOB for the one above me.

Step-by-step explanation:

Your welcome and have a nice day. No bad day. :)

Answer:

k

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Find the mean:

Day 1: 2

Day 2: 1

Day 3: 4

Day 4: 5

Day 5: 0

Day 6: 7

Mean = [tex] \frac{2 + 1 + 4 + 5 + 0 + 7}{6} = 3.17 [/tex]

This does not exceed a daily mean of 3.5 hours which was set by her mom as a guideline.

Therefore we can conclude that:

"Chawrdi complied with the guideline because the mean number of hours played is [tex] \frac{2 + 1 + 4 + 5 + 0 + 7}{6} = 3.17 [/tex].

Answer:

(7,12),(-12,-7)

Step-by-step explanation:

x^2 + y^2 = 193

x - y = - 5

x = y - 5

(y - 5)^2 + y^2 = 193

y^2 - 10y + 25 + y^2 = 193

2y^2 - 10y + 25 = 193

2y^2 - 10y + 25 - 193 = 0

2y^2 - 10y - 168 = 0

2*(y^2 - 5y - 84) = 0     This factors into

2*( y - 12) (y + 7) = 0

y = 12    

in which case x = 12 - 5 = 7

y = - 7

in which case x = -7 - 5 = - 12

Answer:

4p-n+2q-3m is equivalent to 8p-3n+4q-9m

The expression 4(2p+ q) - 3(n+3m) is equivalent to the given expression. which is the correct answer would be an option (C).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given in the question following:

8p - 3n + 4q - 9m

We have to determine the equivalent expression to the given expression

As per option (C), we have

⇒ 4(2p+ q) - 3(n+3m)

Apply the distributive property of multiplication,

⇒ 4 × 2p+ 4 × q  - 3 × n + 3 × m

⇒ 8p + 4q  - 3n + 3m

Rearrange the terms in the above expression,

⇒ 8p - 3n + 4q - 9m

So this expression is the same as the given expression.

Therefore, the expression 4(2p+ q) - 3(n+3m) is equivalent to the given expression.

Learn more about Expressions here :

brainly.com/question/21751419

#SPJ5

The question seems to be incomplete the correct question would be:

Which expression is equivalent to 8p-3n+4q-9m

A. 0

B. 5pn - 5qm

C. 4(2p+ q)-3(n+3m)

D. 4(2p+q)-3(n-3m)

Answer: D

Step-by-step explanation:

did it on    e d g e n u i t y

Answer:

A it's a because 45 x 10³ is 75

Answer:

b

Step-by-step explanation:

Answer:

point (5, 5) is in Quadrant: I  (1)

point (3, –2) is in Quadrant: IV   (4)

The point (–4, –4) is in Quadrant: III   (3)

Step-by-step explanation:

Answer:

The point (5, 5) is in Quadrant  

✔ I

    II

    III

    IV

The point (3, –2) is in Quadrant  

    I

    II

    III

✔ IV

The point (–4, –4) is in Quadrant

    I

    II

✔ III

    IV

Answer:

The correct answer is: c) 171

Step-by-step explanation:

In order to find the number of rooms first of all we have to find the area of a single room

Given that the dimensions of room is:

16 ft * 20 ft

The area of a room is: 320 square feet

So

Area for rooms on first floor = 200000 square feet

The number of rooms on first floor will be:

[tex]=\frac{20000}{320} = 62.5[/tex]

As the number of rooms cannot be in decimal and as we are dealing with floor area some area can be spared but no extra area can be added so the floor function will be applied which rounds off the number to previous whole number

Then number of rooms on first floor is 62

And '

Area for rooms on second floor = 35000 square feet

the number of rooms:

[tex]=\frac{35000}{320}\\=109.375[/tex]

Rounding off using floor function

Number of rooms on second floor = 109

Total number of rooms  = 62+109 = 171

Hence,

The correct answer is: c) 171

Answer:

false

Step-by-step explanation:

false

Answer:

liner

Step-by-step explanation:

they look like a line on a graph

Answer:

Step-by-step explanation:

Q1: 4=10x+5

4-5=10x

-1=10x

-1/10=10x/10=-0.1

Q2:s=3w+2x

s-3w=2x

s-3w/2=2x/2.

Answer:

1cm= 5ft.

Step-by-step explanation:

divide 15 by three

Answer:

[tex]a = 9in[/tex]

Step-by-step explanation:

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]

[tex]a = \sqrt{ {10.6}^{2} - {5.6}^{2} } [/tex]

[tex]a = \sqrt{112.36 - 31.36} [/tex]

[tex]a = \sqrt{81} [/tex]

[tex]a = 9in[/tex]

Answer:

2520

Step-by-step explanation:

 72

x 35

_____

360

2160

______

2520

Answer:

-2 < 6

4 > -8

Step-by-step explanation:

Answer:

9 ÷ 15x

Step-by-step explanation:

( 52 - 43 ) /3x ( 2 + 3)

PEMDAS

Parenthesis, Exponents, Multiplication, Divison, Addition, Subtraction

Do the parenthesis first.....

52 - 43 = 9

9 ÷ 3x ( 2 + 3)

Parenthesis ( do the distributive property...multiply 3x by whatever is inside the parenthesis)

9 ÷ 3x × 2 + 3x × 3

9 ÷ 6x + 9x

Combine like terms (both x's)

9 ÷ 15x

You can't do anymore, since it is just an expression, and not an equation

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

we will fail to reject the null hypothesis and conclude that there's insufficient evidence to support the claim that the percentage is actually more than the reported percentage

Step-by-step explanation:

We are given;

Population proportion; p = 30% = 0.3

Sample proportion; p^ = 37% = 0.37

Sample size; n = 100

Let's define the hypotheses;

Null hypothesis; H0: p ≤ 0.3

Alternative hypothesis; Ha: p > 0.3

Formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

Thus;

z = (0.37 - 0.3)/√(0.3(1 - 0.3)/100)

z = 0.07/0.04582575695

z = 1.53

From z-distribution table, at z=1.53 we have;

p-value = 1 - 0.9370 = 0.063

This p-value is greater than the significance level of 0.02 and thus we will fail to reject the null hypothesis and conclude that there's insufficient evidence to support the claim that the percentage is actually more than the reported percentage

Answer:

Side, angle, side, because it shows 2 different equal sides of the 2 triangles, and it also shows one equal angle.

Answer:

The area of the triangle:

=1/2×base×height

=1/2×2×2

=2 units²

2 units² is the right answer.

Answer:

Area = 2

Step-by-step explanation:

A= base x height/2

base = 2

height = 2

2 x 2 = 4

4/2 = 2

Hope this helps! Have a great day/night

Answer:

4 more pens

Step-by-step explanation:

Well, what do we know?

We know Sheila has:

6 pens

10 pencils

How many MORE pens does she need to make the number of pens equal to the number of pencils?

6 + x (x is the number of pens needed to EQUAL to 10)

6 + x = 10

x = 4

Sanity check:

6 + 4 = 10

Sheila needs 4 more pens to make the number of pens and pencils equivalent, or EQUAL TO each other.

Answer: A

Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity

Step-by-step explanation:

Answer:

it's a

Step-by-step explanation: