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sineoko [7]
2 years ago
7

I make $8 dollars per hour (H) for babysitting. I make a total (T) dollars babysitting on Saturday. In the space below, identify

the Independent Variable (either H or T), the Dependent Variable (either H or T), and write an equation based on this information (include 8, H, T, and an = sign).
Mathematics
1 answer:
bonufazy [111]2 years ago
5 0

Answer: 8H=T

Step-by-step explanation:

8 is dependant on the hours so you put it together. Your independent

value is T since it is by itself. So your answer becomes.

8H=T

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An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different ti
Simora [160]

Answer:

The system of linear equations that can be used to determine the time that each of the trains has been traveling is:

E + W = 4 ....... Equation 1

95 E + 110W = 400  ......Equation 2

Hence,

An Eastbound train has been travelling for =  (E) = 2.67 hours

A Westbound train has been travelling for =  (W) = 1.33 hours

Step-by-step explanation:

An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different times. After 4 hours, they are 4 00 miles apart. Which system of linear equations can be used to determine the time that each of the trains has been traveling?

Speed = Distance/Time

Distance = Speed × Time

Let the time

An Eastbound train =  (E)

A Westbound train =  (W)

E + W = 4 hours ....... Equation 1

95mph × E + 110mph × W = 400 miles

95 E + 110W = 400 miles ......Equation 2

The system of linear equations that can be used to determine the time that each of the trains has been traveling is:

E + W = 4 ....... Equation 1

95 E + 110W = 400  ......Equation 2

E = 4 - W

We substitute 4 - W for E in Equation 2

95 (4 - W) + 110W = 400  

380 - 95W + 110W = 400

Collect like terms

95W - 110W = 400 - 380

15W = 20

W = 20/15

W = 1.3333333333 hours

≈ 1.33 hours

E = 4 - W

E = 4 - 1.33 hours

E = 2.67 hours

Therefore,

An Eastbound train has been travelling for =  (E) = 2.67 hours

A Westbound train has been travelling for =  (W) = 1.33 hours

8 0
3 years ago
In a group of 60 students, 12 students take Algebra I, 18 students take Algebra II, and 8 students take both subjects. How many
vodomira [7]
Since 8 students take both, that leaves only 4 students who take Algebra I alone.
Likewise since 8 students take both, that leaves 10 who only take Algebra 2
So out of the 60, twenty two are taking either Alg I Alg Ii or both.

That leaves 38 people who are not taking either.
b. 38

You can set this up using a 2 circle venn diagram.  Just be sure to put the 8 who take both in first.

4 0
3 years ago
Read 2 more answers
There are 20 female performers in a dance recitial. The ratio of men to women is 3;4 . How many men are in the dance recitial.
Triss [41]

Answer:

There are 15 men in the dance recital.

Step-by-step explanation:

If 20 people is 4 parts, then 5 people are 1 part. Due to that, 15 people will equal 3 parts.

8 0
3 years ago
1. What is the sum of 1/9, 2/3, and 5/18?<br> O A. 30<br> O B. 12/9<br> O C. 19/18<br> O D. 4/15
Serhud [2]

Answer:

C. 19/18

Step-by-step explanation:

\frac{1}{9}  +  \frac{2}{3}  +  \frac{5}{18 }  =  \frac{2}{18}  +  \frac{12}{18}  +  \frac{5}{18}  =  \frac{19}{18}

So the answer is C. 19/18

6 0
1 year ago
A 13ft board is to be cut into three pieces, two equal length ones and the third 9in shorter than each of the other two. If cutt
vaieri [72.5K]

Answer:

The pieces are 55 inches, 55 inches and 46 inches long

Step-by-step explanation:

A 13ft board is to be cut into three pieces consisting of two equal length ones. The third one is 9in shorter than each of the other two.

Let us first convert the length of the board to inches:

1 ft = 12 inches

13 ft = 12 * 13 = 156 inches

Let the length of each of the other two pieces be x.

Therefore, the length of the third piece is (x - 9)

Therefore, the sum of the lengths of the three pieces is equal to 156 inches. This means that:

x + x + (x - 9) = 156

x + x + x - 9 = 156

=> 3x = 156 + 9

3x = 165

x = 165 / 3 = 55 inches

Each of the first two pieces are 55 inches long.

The length of the third piece will be:

55 - 9 = 46 inches

The pieces are 55 inches, 55 inches and 46 inches long.

4 0
2 years ago
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