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algol [13]
3 years ago
7

Hannah places her home on a grid so that each unit square on the grid equates to 1 mile. She uses the fact that the major street

s in her town are located 1 mile apart and run at right angles to each other to place her school 5 miles south and 3 miles east of her home.
The distance from Hannah's home to her school, if that distance could be walked in a straight line, would be _____ miles.
Mathematics
1 answer:
Rainbow [258]3 years ago
7 0

Answer:

64.1

Step-by-step explanation:

You use Pythagorean theorem which is x^2 +y^2=z^2 (^ this means to the power of) so you would get 55^2+33^2=z^2. solving this would get you z=64.1404708433 or 64.1

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A store is having a sale on jelly beans and trail mix. For 6 pounds of jelly beans and 2 pounds of trail mix, the total cost is
Aneli [31]

Answer:

Jelly Bean price per pound = $3.25, Trail Mix price per pound = $1.25

Step-by-step explanation:

Let jb = price per pound of jelly beans

Let tm = price per pound of trail mix

equation 1 -> 6*jb + 2*tm = 22

equation 2 -> 3*jb + 5*tm = 16

simplify equation 1

6*jb + 2tm = 22

2*tm = 22 - 6*jb

divide by 2

tm = 11 - 3*jb

plug this into equation 2

3*jb + 5*tm = 16

3*jb + 5*(11-3*jb) = 16

3*jb + 55 - 15*jb = 16

-12*jb + 55 = 16

-12*jb = 16 - 55

-12*jb = -39

jb = -39/-12

jb = 3.25

then, plug the cost per pound of jelly beans back into the simplified equation 1

tm = 11 - 3*jb

tm = 11 - 3*3.25

tm = 1.25

3 0
2 years ago
A school replaced 20% of it computers with new ones . what the total number of computers in the school if 55 computers were repl
sladkih [1.3K]
The total is 275 because 100% divided by 20% is 5 and if 20%= 55 then that means that 55 goes into 100% 5 times so you multiply 55 by 5 to get 275. Hope I helped! Please rate me as the brainliest!
7 0
3 years ago
Solve the inequality for n 14
makkiz [27]

Answer:

14n

Step-by-step explanation:

just rearrange the number with the variable

8 0
2 years ago
535.29 = 400(1 + r) 5
joja [24]

Answer:

Step-by-step explanation:

(1+r)^5=\frac{535.29}{400} \\1+r=(\frac{535.29}{400}) ^{\frac{1}{5} } \\1+r \approx 1.06\\r \approx .06

7 0
3 years ago
There are two precalculus sections at a high school. Mr.​ Abel's class has 14 girls and 8 ​boys, while Mr.​ Bonitz's class has 1
Gemiola [76]

Answer:

14/46

Step-by-step explanation:

4 0
3 years ago
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