MATHEMATICS
MIDDLE SCHOOL

Answer: There is 2 ways you can find out which is longer. 1. turn both to a decimal 2. turn them both to a fraction and cross multiple and the bigger number is longer time. So the answer is 0.75

HIGH SCHOOL

On monday, deborah ran 3 2/5 miles and on tuesday she ran 4 1/5 miles how many miles did she run on these 2 days togehter

She ran for 7 3/5 miles in 2 days together.

Given that,

On Monday, Deborah ran 3 2/5 miles and on Tuesday she ran 4 1/5 miles, how many miles did she run on these 2 days together is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,

On Monday, Deborah ran 3 2/5 miles,

on Tuesday she ran 4 1/5 miles

Total run = 3 2/5 + 4 1/5

= 3 + 4 + 2/5 + 1 / 5

= 7 + 3 / 5

= 7 3 / 5

Thus, she ran for 7 3/5 miles in 2 days together.

Learn more about arithmetic here:

brainly.com/question/14753192

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Answer:

7 3/5

Step-by-step explanation:

MIDDLE SCHOOL

Write an expression equivalent to (8x+14)+(9x-5)

Answer:112+20

112+20=132 which equals to the other equation

Actually, the correct answer is 17x+9. The previous person forgot about the variables. I combined 8x and 9x, and 14 and -5.

MIDDLE SCHOOL

63/40 divided by 70/44

63/40 ÷ 70/44

63/40 × 44/70

(63×44)\(40×70)

2772/2800

99/100....

OR

0.99......

63/40 × 44/70

(63×44)\(40×70)

2772/2800

99/100....

OR

0.99......

MIDDLE SCHOOL

What type of triangle is formed by joining the points D(7, 3), E(8, 1), and F(4, -1)?

1.equilateral triangle

2.isosceles triangle

3.right triangle

4.acute scalene triangle

5.obtuse scalene triangle

D=(7,3)=(xd,yd)→xd=7, yd=3

E=(8,1)=(xe,ye)→xe=8, ye=1

F=(4,-1)=(xf,yf)→xf=4, yf=-1

DE=sqrt[(xe-xd)^2+(ye-yd)^2]

DE=sqrt[(8-7)^2+(1-3)^2]

DE=sqrt[(1)^2+(-2)^2]

DE=sqrt[1+4]

DE=sqrt[5]

DE=2.236067978

DE=2.236

EF=sqrt[(xf-xe)^2+(yf-ye)^2]

EF=sqrt[(4-8)^2+(-1-1)^2]

EF=sqrt[(-4)^2+(-2)^2]

EF=sqrt[16+4]

EF=sqrt[20]

EF=sqrt[4*5]

EF=sqrt[4]*sqrt[5]

EF=2*sqrt[5]

EF=2*(2.236067978)

EF=4.472135956

EF=4.472

DF=sqrt[(xf-xd)^2+(yf-yd)^2]

DF=sqrt[(4-7)^2+(-1-3)^2]

DF=sqrt[(-3)^2+(-4)^2]

DF=sqrt[9+16]

DF=sqrt[25]

DF=5

The three sides are differents:

DE=2.236 different to EF=4.472 different to DF=5

Then the triangle scalene

Longest side is DF=5

DF^2=(5)^2→DF^2=25

DE^2=(sqrt[5])^2→DE^2=5

EF^2=(2*sqrt[5])^2=(2)^2*(sqrt[5])^2=4*5→EF^2=20

Square of the longest side: DF^2=25

Sum of the square of the other sides: DE^2+EF^2=5+20=25

The square of the longest side=25=Sum of the squares of the other sides, then the triangle is a right triangle

The triangle is right triangle and it is a scalene triangle

Answer: Option 3. right triangle

E=(8,1)=(xe,ye)→xe=8, ye=1

F=(4,-1)=(xf,yf)→xf=4, yf=-1

DE=sqrt[(xe-xd)^2+(ye-yd)^2]

DE=sqrt[(8-7)^2+(1-3)^2]

DE=sqrt[(1)^2+(-2)^2]

DE=sqrt[1+4]

DE=sqrt[5]

DE=2.236067978

DE=2.236

EF=sqrt[(xf-xe)^2+(yf-ye)^2]

EF=sqrt[(4-8)^2+(-1-1)^2]

EF=sqrt[(-4)^2+(-2)^2]

EF=sqrt[16+4]

EF=sqrt[20]

EF=sqrt[4*5]

EF=sqrt[4]*sqrt[5]

EF=2*sqrt[5]

EF=2*(2.236067978)

EF=4.472135956

EF=4.472

DF=sqrt[(xf-xd)^2+(yf-yd)^2]

DF=sqrt[(4-7)^2+(-1-3)^2]

DF=sqrt[(-3)^2+(-4)^2]

DF=sqrt[9+16]

DF=sqrt[25]

DF=5

The three sides are differents:

DE=2.236 different to EF=4.472 different to DF=5

Then the triangle scalene

Longest side is DF=5

DF^2=(5)^2→DF^2=25

DE^2=(sqrt[5])^2→DE^2=5

EF^2=(2*sqrt[5])^2=(2)^2*(sqrt[5])^2=4*5→EF^2=20

Square of the longest side: DF^2=25

Sum of the square of the other sides: DE^2+EF^2=5+20=25

The square of the longest side=25=Sum of the squares of the other sides, then the triangle is a right triangle

The triangle is right triangle and it is a scalene triangle

Answer: Option 3. right triangle