Mary works at the Elementary School, but has to go to the airport to pick up her father. Her father works at City Hall. She drops her father at City Hall and then returns to the Elementary School. How far did Mary travel if she took the shortest route?

A. 32 miles
B. 36 miles
C. 64 miles
D. 96 miles

Mary Works At The Elementary School, But Has To Go To The Airport To Pick Up Her Father. Her Father Works

Answers

Answer 1

Answer:

D. 96 miles

Step-by-step explanation:

So, first, to get to the airport, we can take the shortest route, which is Elementary School to City Hall (21), then to High School (12), then to Airport (15).

This adds up to 48 miles.

Then, we go back to City Hall, through the High School, which is 27 miles (15+12)

Then, we go to the Elementary School from City Hall, which is 21 miles.

Add up all the miles and you get:

48 + 27 +21 = 96


Related Questions

Is 2.04 is greater or less than 2.040?

Answers

Answer:

See below

Step-by-step explanation:

2.04 is neither greater nor less than 2.040

but 2.04 is equal to 2.040.

[tex]2.04=2.040[/tex]

It’s the same, the same amount

a train moves at a speed of 60 km per hour.how far will it travel in 30 minutes​

Answers

Answer:

The train would travel 30km in 30 minutes.

Step-by-step explanation:

Speed of train = 60km/hr

30 minutes = I hour ÷ 2


If 30 minutes is equal to half an hour, and it takes an hour for the train to travel 60 km, then you would have to half 60 km to find the length travelled in 30 minutes.

Equation: 60km ÷ 2 = 30km

The radii of two similar cones are 1 and 2.5. What is the ratio of their volumes?

Answers

Answer:

Assuming the cones are the same height, then

V1 = pi * r^2 * h/3 = 3.14159*1^2*h/3

V2 = 3.14159*2.5^2*h/3 = 3.14159*6.25*h/3

V1/V2=(3.14159*h/3)/(3.14159*6.25)*h/3

V1/V2 = 1/6.25 = .16

V2/V1=(3.14159*6.25)*h/3/(3.14159*h/3)

V2/V1=6.25/1 = 6.25

2x+3≤x−5 solve for x

Answers

Answer:

x≤−8

Step-by-step explanation:

2x+3≤x−5

Step 1: Subtract x from both sides.

2x+3−x≤x−5−x

x+3≤−5

Step 2: Subtract 3 from both sides.

x+3−3≤−5−3

Answer is

x≤−8

solve for x ~
[tex]\bold{2(x + 1) - 4x = 3x + 5} [/tex]

spammers stay away .-.
thankyou ~​

Answers

Answer:

x = -0.6

solving steps:

[tex]\sf \rightarrow 2\left(x+1\right)-4x=3x+5[/tex]

remove the parenthesis

[tex]\sf \rightarrow 2x+2\right)-4x=3x+5[/tex]

group the variables

[tex]\sf \rightarrow 2x-4x-3x\right)=5-2[/tex]

simplify

[tex]\sf \rightarrow -5x\right)=3[/tex]

change sides

[tex]\sf \rightarrow x\right)=\dfrac{3}{-5}[/tex]

answer in fraction

[tex]\sf \rightarrow x\right)=-\dfrac{3}{5}[/tex]

answer in decimals

[tex]\sf \rightarrow x\right)=-0.6[/tex]

Answer:

[tex]x=-0.6[/tex]

Step-by-step explanation:

[tex]2\left(x+1\right)-4x=3x+5\quad :\quad x=-\frac{3}{5}\quad \left(\mathrm{Decimal}:\quad x=-0.6\right)[/tex]

[tex]2\left(x+1\right)-4x=3x+5[/tex]

[tex]2(x+1)-4:-2x+2[/tex]

[tex]-2x+2=3x+5[/tex]

[tex]\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}[/tex]

[tex]-2x+2-2=3x+5-2[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-2x=3x+3[/tex]

[tex]\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}[/tex]

[tex]-2x-3x=3x+3-3x[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-5x=3[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-5[/tex]

[tex]\frac{-5x}{-5}=\frac{3}{-5}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=-\frac{3}{5}[/tex]

~Learn with Lenvy~

D=1/3fk, solve for f

Answers

Answer:

f=3d/k

Step-by-step explanation:

Identify whether each variable is categorical or continuous.

Hand length (cm) ?

Kneeling height (cm) ?

Hours studied for exam ?

Exam score?

Perfect attendance (100=perfect; 0 = not perfect)?

Answers

Answer:

u33u3373737

Step-by-step explanation:

hheeheheheheheheheheheehehehehebeheheheheheheheheehehe

Which statement is true about the prime polynomial 2x2 + 3x + 3?

It cannot be modeled with a rectangle.
It can be modeled with a square.
It cannot be modeled with all positive tiles.
It can only be modeled with an odd number of tiles.

Answers

Answer:

A

Step-by-step explanation:

because problem make more sences

Answer:

A it cannot be modeled with a rectangle  

Step-by-step explanation:

A researcher collected data from car shoppers about their favorite car color. He asked 250 people about their favorite vehicle color. How many more people said their favorite color is white compared to those who said black. Your answer should be written as a number not a percentage. And then the percents for the circle graph are 20% red 24% white 32% blue 18% black 4% silver and 2% other

Answers

Answer:

35 more preferred white

Step-by-step explanation:

Black 18% * 250 = 18/100 * 250 = 45

White 32%*250 = 32/100 * 250 = 80

The  difference is 80 - 45 = 35

What is the property name of 3 (6 + 2 ) = ( 3 x 6 ) + ( 3 x 2) ?

Answers

Answer:

The distributive property

Step-by-step explanation:

It says

[tex]a(b+c)=a(b)+a(c)[/tex]

I hope you understand the generalization of the property.

find the value of x ?

Answers

Answer:

Step-by-step explanation:

∠E = ∠G

∠D= ∠F because it’s a parallelogram ==> D=F=2x+12 and E=G=5x

5x+2x+12=180

7x=168

X=24

Solution 2:

2*5x+2*(2x+12)=360

10x+4x+24=360

14x=360-24=336

X=336/14

X=24

Answer:

[tex]{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{☺☺Hope\ it\ helps\ you}}}}}}}}}}}}}[/tex]

A/Q

5x+2x+12=180(Sum of adjacent angles is 180)

=>7x+12=180

=>7x=180-12

=>x=168/7

Hence,x=24....

For 23-25, use the table.
In Rhonda's school, the average amount
of time spent on homework on
weeknights was 56 minutes. The table
shows how far above
and
below average
five students' times were.
Student
Difference

Fred -5

Gina 0

Hanna 3

Ilsa -3

Jon 5

23. Which students' differences were
opposite?

ANSWER ASAP PLS

Answers

Answer:

Fred and Jon

Ilsa and Hanna

Step-by-step explanation:

Fred has a difference of -5. Jon has a difference of + 5.

Positive and negative 5 are opposite.  

Ilsa had a difference of -3. Hanna had a difference of + 3.

Positive and negative 3 are opposite.

In the expression 12r what values of r makes the expression equal a number less than 12

Answers

answer:

any value below 1

r<1

examples:

12×0=1

12×0.99= 0.0825

12×-12=-144 (which is less than 12)

etc.

This table shows the ratio of daisies to roses.
Complete the statement about the equivalent ratios in
this table.
Daisies
Roses
To find the values in each row,
the values
in the previous row by
256
192
64
48
16
12

Answers

Answer:

Its divide and 4

Step-by-step explanation:

To find the values in each row divide the values in previous row by 4.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Clearly, from observation,
Each column represent geometric progression with common ratio r = 1/4. So when moving downward, the element in the rows decreases as multiple of 1/4.
Here,
R(1, 1) = 256
R (2 ,1) = 64
R(2,1)/R(1,1)=1/4

Thus, To find the values in each row divide the values in previous row by 4.

Learn more about Ratio here:
brainly.com/question/13419413

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If the salinity of ocean water at the entrance to an estuary is 35 and 63 percent of the volume of water in the estuary is ocean water, what is the average salinity of the estuary

Answers

The correct answer for the average salinity of the estuary would be 22.235.

Given in the question,

Salinity of ocean water at the entrance to the estuary:  35.

Volume of ocean water in the estuary:  63% (or 0.63).

Volume of freshwater in the estuary:  37% (or 0.37).

Consider, salinity of freshwater as 0.5.

To calculate the average salinity of the estuary, the  formula know is:

Average Salinity = (Salinity of Ocean Water * Volume of Ocean Water + Salinity of Freshwater * Volume of Freshwater) / Total Volume of Estuary

[tex]= \dfrac{35*0.63 + 0.5 * 0.37}{1}\\\\= 22.05 + 0.185\\\\= 22.235[/tex]

Therefore, Average salinity of the estuary would be approximately 22.235.

Learn more about Salinity here:

https://brainly.com/question/29598259

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Dudley Durite deposited $350 into a savings account that earns 6.5% interest compounded semi annually. What amount was in his account at the end of 1 year?

Answers

Answer:

$373.12

Step-by-step explanation:

You want to set this up with the equation for compound interest which is [tex]A=P(1+\frac{r}{n})}^{nt}[/tex]. A stands for amount, P stands for principle which in this case is 350, r is rate which for this one is .065, ad n is the amount of times compounded per year, and since it is compounded semi annually you do 2 for 2 times a year. Your equation based on this information should look like this:

[tex]A=350(1+\frac{.065}{2})}^{(2)(1)}[/tex]

After working this out you get A = 373.12

$373.12

10 yd
10 yd

Find the area of each?

Answers

Answer:

20 yards

Step-by-step explanation:

i got 100 0n the quiz

I chose the first one please help if its not correct. Simplify.
y+ (15+ y)
15 + 2 y
17 y
15 y
15+ y

Answers

Answer:

15+2y

Step-by-step explanation:

take y to the other side

Use the square root property to solve the equation.
x^2=153

Answers

Answer:

3√(17) or 12.3693

Step-by-step explanation:

x^2 = 153

take square root from both side...

√(x^2) = √(153)

then...

x=√(153)

reduce to get...

x=3√(17)

the approximation is...

12.3693

Please rate!!

Answer:

x = 3sqroot17

x ~= 12.37

Step-by-step explanation:

To use the square root property, take the square root of both sides of the equation. see image.

Sqroot17 can be simplified in radical form or a decimal approximation.

For the radical form note that 153 is 9×17.

Since 9 is a perfect square, it simplifies a little bit. see image.

Which of the following r-values represents the strongest correlation?

Which of the following r-values represents the strongest correlation?
A. -0.51 B.-0.71 C. -0.41 D. -0.61

Answers

Answer:

-0.71

Step-by-step explanation:

Generally, a value of r greater than 0.7 is considered a strong correlation. Anything between 0.5 and 0.7 is a moderate correlation, and anything less than 0.4 is considered a weak or no correlation.

The r-value that represents the strongest correlation is -0.71.

What is correlation?

Any of the many metrics used to describe the strength and direction of a linear relationship between two random variables is called a correlation coefficient.

So, r stands for the correlation coefficient.

Depending on the direction of the association, an r-value may be either negative or positive.

Yet, the link is greater the closer an r-value is to 1.

Here - 0.71 is closer to -1 then it is having a strongest correlation.

Learn more about correlation coefficient here:

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plz help idk what to do :(

Answers

Answer:

x=5°

∠JIK=110°

Step-by-step explanation: From question,

20x-10+8x-20=140-6x

28x-30=140-6x

34x=170

x=170/34

x=5°

Eq. in ∠JIK,

140-30

=110°

What’s the value of x?

Answers

Answer:

x=15°

Step-by-step explanation:

165°+x=180°(sum of the adjacent angles on a straight line is 180)

x=180-165

x=15°

HELPPP PLEASE!!!!

Write an equation for the nth term of the
arithmetic sequence below.
-12, -3, 6, ...
A. f(n) = -9n - 21
B. f(n) = 9n - 21
C. f(n) = 9n + 21
D. f(n) = -9n + 21
Activate

Answers

Answer: B.f(n)9n-12

Step-by-step explanation:


At Skyrocket Amusement Park, 30% of the rides are roller coasters. There are a total of
18 roller coasters. How many rides are there at Skyrocket Amusement Park in all

Answers

Total rides = 100 %
Considering the value of the 100%

If 30% = 18 roller coasters
then 100% = 100 x 18/30
= 60 rides
Hence there are 60 rides in all

1 Josiah is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 12 in and the height of the pyramid is 14in. To get the wax for the candle, Josiah melts cubes of wax that are each 6 in by 6 in by 6 in. How many of the wax cubes will Josiah need in order to make the candle? Show your work.

Answers

Answer:

3.11 wax cubes

Step-by-step explanation:

Divide. Write your answer in simplest form.
8/7÷4

Answers

Answer:

8/7 ÷ 4/1 = 7/32

Step-by-step explanation:

4/1 is the same as 4, flip all the Fractions so the bottom number is on the top and top on bottom and then multiply top x top and bottom x bottom

Hey there!

First, let's convert 4 into a fraction:

4=4/1

Now, divide the fractions:

[tex]\bold{\displaystyle\frac{8}{7} :\frac{4}{1}}[/tex]

Now, flop the second fraction over and multiply the first fraction times the second one:

[tex]\bold{\displaystyle\frac{8}{7} *\frac{1}{4}}[/tex]

Multiply the numerator (8) times the numerator of the second fraction (1) and multiply the denominator (7) times the denominator of the second fraction (4):

[tex]\bold{\displaystyle\frac{8}{28}}}[/tex]

Also, this fraction can be reduced:

[tex]\bold{\displaystyle\frac{4}{14}}[/tex]

We can divide by 2 again.

Hence, the answer is

[tex]\boxed{\boxed{\bold{\displaystyle\frac{2}{7}} }}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

:-)

#LearningDoesn'tEnd

[tex]\rule{200}{2}[/tex]

Which graph represents the function?

f(x)={3 if x<1x if x≥1

Answers

Answer:

Top Right

Step-by-step explanation:

If it's x≥1, you would plot a closed (or filled) circle at 1, and it would continue going right. If it's x<1, you would plot an open (or an o) circle with a line continuing left.

The function represents f(x)={3 if x<1x if x≥1 in Figure 4 is correct.

What is slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. There is no clear reason why the letter m is employed for slope, however its earliest use in English can be found in O'Brien (1844), who wrote the equation of the a straight line as "y = mx + b," and it can also found in Todhunter (1888), who wrote it as "y = mx + c." Slope is frequently denoted by the letter x. The ratio of the "vertical change" to the "horizontal change" between (any) two distinct points along a line is used to calculate slope. The ratio can also be written as a quotient ("rise over run"), which produces the same number for each and every two distinct points on a single line.

Here,

For x≥1 ⇒ f(x)=x

For x<1 ⇒ f(x)=3

Both these statements are followed together only in figure 4.

Hence, figure 4 is correct.

Learn more about slope from the link.

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$55 for 20 people............

Answers

Answer:

total amount of money: $1100

Step-by-step explanation:

multiply the number of people by the money for each of them

so $55 x 20 = $1100

Answer:

55 divied by 20..witch mean 50 divied between 20 ppl witch is

11/4 and as a decimal 2.75 hope this helped

Use Heron's formula to find the area of the triangle. Round to the nearest square unit.

a = 8 inches, b = 13 inches, c = 7 inches

Group of answer choices

39 square inches

23 square inches

21 square inches

41 square inches

Answers

Answer:

24.25 in²

Step-by-step explanation:

s = (a + b + c)/2 = (8 + 13 + 7)/2 = 14 in

s - a = 6, s - b = 1, s - c = 7

so

the area = [tex]\sqrt{14\times6\times1\times7}=24.25[/tex]

What is the solution to the system of equations?


(4, 7)
(7, 4)
(12, 5)
(5, 12)

Answers

Question ↷

What is the solution to the system of equations?

3x+2y = 39

5x-y = 13

Answer ↷

(5,12)

Solution ↷

Given that,

3x + 2y = 39......(1)

5x - y = 13.......(2)

multiplying equation 1 by 5 & 2nd by 3 ,we get,

15x + 10y = 195.......(3)

15x - 3y = 39........(4)

Subtracting equation 4th by equation 3rd,

we get,

15x + 10y = 195

-15x - 3y = 39

_____________

ㅤ ㅤ13y = 156

ㅤㅤㅤ y = 12

_____________

so , y = 12 & x = 5

⤿5x-12 = 13⤿5x = 25⤿x = 5

_____________

hence, option 4th ⇢ (5,12) is correct ✓

3x+2y=39--(1)5x-y=13--(2)

Graph Attached

Solution is (5,12)

Option D

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