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4 years ago

The equation 9(u -2) + 1.5u = 8.25 models the total miles Michael traveled one afternoon while sledding, where u equals

Mathematics

2 answers:

Gre4nikov [31]4 years ago

8 0

Answer:

Step-by-step explanation:

Just did it

kirill [66]4 years ago

4 0

Answer:

u = 2.5

Step-by-step explanation:

Since you're working with only one variable, you just need to solve for u:

9(u -2) + 1.5u = 8.25

Multiply the parentheses by 9

9u - 18 +1.5u = 8.25

Add the similar values

10.5u = 8.25 + 18

Simplify

10.5u = 26.25

u = 26.25/10.5

u = 2.5

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Five years ago, Tom was one third as old as his father was then.In 5 years, Tom will be half as old as his father will be then.

sleet_krkn [62]

Answer:

The father is 35years old and the son Tom is 15years old

Step-by-step explanation:

Let the father's be y

Let Tom's age be T

5 years ago:

The father's age is: y — 5

Tom's age:

T— 5.

But Tom's age was one third the father's age. This is written as:

T — 5 = 1/3(y — 5)

3(T — 5) = y — 5

3T — 15 = y — 5

3T — y = — 5 + 15

3T — y = 10 (1)

In 5years time:

The father's age is:

y + 5

Tom's age:

T + 5

But in 5years time, Tom will be half as old as his father. This is written as:

T + 5 = 1/2(y + 5)

2(T + 5) = y + 5

2T + 10 = y + 5

2T — y = 5 — 10

2T — y = — 5 (2)

Therefore, the equations are

3T — y = 10 (1)

2T — y = — 5. (2)

Solving by elimination method:

Subtract equation (2) from (1)

3T — y = 10

— (2T — y = — 5)

T = 15

Substituting the value of T into equation (1)

3T — y = 10

3(15) — y = 10

45 — y = 10

45 — 10 = y

y = 35

Therefore,

The father is 35years old and the son Tom is 15years old

5 0

4 years ago

96.1% of what number is 103?<br> Help ASAP

inysia [295]

Answer:

107.18

Step-by-step explanation:

To find the number, divide 103 by 0.961

103/0.961

= 107.180020812 or approximately 107.18

So, the answer is 107.18

6 0

3 years ago

Question 11 hellllpppp plzzzz almost done

Talja [164]

Answer:

it is 25

Step-by-step explanation:

if 5 min is 1/2 mile, then do 5 1/2 miles.

5=1/2 mi

10=1 mi

15=1 1/2 mi

20=2 mi

25=2 1/2 mi

have a good day!

6 0

3 years ago

Read 2 more answers

The numbers 1, 2, 3, 4, 5, 6 are written on identical cards and placed in a bag. A card is selected at

AleksandrR [38]

Answer:

yes yes yes yes yes yes yes

8 0

3 years ago

(1st pic) What is the equation of the line shown in this graph?

vredina [299]

Answer:

For figure 1: The equation of a line is y=1

For figure 2: The equation of a line is y=(-4)x+1

For figure 3:The equation of a line is y= $\frac{-5}{2}x+5$

Step-by-step explanation:

The equation of line slope-intercept form is given by y=mx+c

Where m is the slope of the line and c is the y-intercept.

For figure 1:

Here, Line is parallel to x-axis

Hence, Slope m=0

Also, Line passing to y axis at (0,1)

Y-intercept is c=1

Therefore,

The equation of line is

y=0x+1

y=1

For figure 2:

Figure show a line passing through point (1,-3) and (-1,5)

The slope of the line is given by m= $\frac{Y2-Y1}{X2-X1}$

Using given points to find out the slope of a line

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{5-(-3)}{(-1)-1}$

m= $\frac{8}{-2}$

m=(-4)

Also, Line is intersecting y-axis at (0,1)

Hence, c=1

We can write the equation of line as

y=mx+c

y=(-4)x+1

Thus, The correct option is D). y=(-4)x+1

For figure 3:

From the figure, a line is passing through points (-2,0) and (0,5)

The slope of the line is given by m= $\frac{Y2-Y1}{X2-X1}$

Using given points to find out the slope of a line

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{5-0}{0-(-2)}$

m= $\frac{-5}{2}$

Also, Line is intersecting y-axis at (0,5)

Hence, c=5

We can write the equation of line as

y=mx+c

y= $\frac{-5}{2}x+5$

4 0

3 years ago