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umka21 [38]
3 years ago
10

Yochanan walked from home to the bus stop at an average speed of 5 mph he immediately got on his school bus and traveled at an a

verage speed of 60 mph until he got to school. The total distance from his home to school is 35 miles, and the entire trip took 1.5 hours. How many miles did yochanan cover by walking, and how many miles did he cover by travelling on the bus? Yochanan walked miles and traveled miles on the bus.
Mathematics
1 answer:
jolli1 [7]3 years ago
7 0

Answer:

The first t hours he walked.

5t + 60(1.5 - t) = 35

5t + 90 - 60t = 35

-55t = -55

t = 1 hours

he walked 5 * 1 = 5 miles

he traveld 60*0.5 = 30 miles by bus.



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3) When Jackie took her children to the movie theater, she bought one box of candy and three small drinks for
Nezavi [6.7K]

Answer:

c + 3d = 14.75

2c + 5d = 26

A box of candy is $4.25 and a drink is $3.50

Step-by-step explanation:

Let c represent the cost of a box of candy and let d represent the cost of a drink

c + 3d = 14.75

2c + 5d = 26

Solve by elimination by multiplying the top equation by -2

-2c - 6d = -29.5

2c + 5d = 26

Add them together

-d = -3.5

d = 3.5

Plug in 3.5 as d into one of the equations to solve for c

c + 3d = 14.75

c + 3(3.5) = 14.75

c + 10.5 = 14.75

c = 4.25

So, a box of candy is $4.25 and a drink is $3.50

6 0
2 years ago
The midpoint of AB is M (-6,-4). If the coordinates of A are (-4,-3), what are the coordinates of B
VladimirAG [237]
Exact qurdnats I think
4 0
3 years ago
1/4x – 2 = 3/8 Please show an equation and work. :)
Julli [10]
1/4x - 2 = 3/8

First, to start solving this, we can rearrange our fraction. Let's take 1/4x and change it to x/4. Why? Well, a variable can also be considered as the number 1.
\frac{x}{4} - 2 =  \frac{3}{8}

Second, now we can continue solving for our variable (x). Let's add 2 to each side.
\frac{x}{4} =  \frac{3}{8} + 2

Third, let's simplify 3/8 + 2. (3/8 + 2 = 2.375 =19/8)
\frac{x}{4} =  \frac{19}{8}

Fourth, continue trying to get the variable by itself. Multiply each side by 4.
x =  \frac{19}{8} \times 4

Fifth, let's simplify 19/8 × 4. This is simple. Leave the denominator be and just do 19 × 4, which equals 76.
x =  \frac{76}{8}

Sixth, our final step is to simplify our fraction. To do so, we will need to list the factors of the numerator and denominator and find the greatest common factor (GCF).

Factors of 76: 1, 2, 4, 19, 38, 76
Factors of 8: 1, 2, 4, 8

Since 4 is our first common factor, it is considered our GCF.

Seventh, now let's divide. Divide both the numerator and denominator by the GCF (4) to create our new simplified fraction.
76 \div 4 = 19 \\ 8 \div 4 = 2

Answer in fraction form: \fbox {x = 19/2}
Answer in decimal form: \fbox {x = 9.5}
8 0
3 years ago
There are 8 students on the minibus.five of students are boy. What fraction of the students are boys?
kolezko [41]
5/8 i think im pretty sure tho
5 0
3 years ago
Read 2 more answers
Need help with a math question
krek1111 [17]

Answer:

x=13°

Step-by-step explanation:

If BE is an angle bisector, then it divides the angle into two equal angles. This means that

∠ABE=∠EBC

Since ∠ABE=2x+20 and ∠EBC=4x-6, we have

2x+20=4x-6

2x-4x=-6-20

-2x=-26

2x=26

x=13°

4 0
3 years ago
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