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2 years ago

Peter is 8 years younger than Alex. In 9 years time, the sum of their ages will be 76 . How old is Alex now?

Mathematics

2 answers:

Lera25 [3.4K]2 years ago

5 0

Answer:

Peter is a-8 in 9 years, (a-8)+ 9+ a+ 9= 76

Margaret [11]2 years ago

3 0

Answer:

P = 25

A = 33

Step-by-step explanation:

P + 8 = A

P + 9 + A + 9 = 76

P + A = 58

~~~~~~~~~~~~~~

P = 58 - A

P = 58 - P - 8

2 P = 50

P = 25

A = 33

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A delivery truck has 40,000 miles on its odometer and travels an average of 22,000 miles per year.

Arturiano [62]

Answer:

Since the truck adds 22,000 PER YEAR, this would be the number we multiply by the variable depending on how many years they are calculating for. So we have y = 22,000x

The truck already has 40,000 miles on it so it s STARTING at 40,000, this is our y-intercept, or b.

Now we have y = 22,000x + 40,000

6 0

2 years ago

A sealed tank of water measures 10cm x 8 cm x 40cm. When it stands on one

Pavel [41]

Answer:

New height = 6

Step-by-step explanation:

The water is going to be the same volume no matter how the tank is orientated.

So you can do this 2 ways.

First way

Find the volume in the tank when the water goes up 24 cm on the height.

V = L*W*h

L = 8

W = 10

H = 24

V = 1920 cm^3

Now do it using the

L = 40

W = 8

h = ?

1920 = L * W * h

1920 = 40 * 8 * h

1920 = 320 * h

h * 320 = 1920

h = 1920/320

h = 6

Or you can do it without finding the 1920

L*W*h = L1 * w1 * h1

8*10*24 = 40 * 8 * h The 8's cancel

10*24 = 40*h Divide both sides by 10

24 = 4h Divide by 4

h = 6

Same as you got before.

7 0

3 years ago

Use the drawing tool(s) to form the correct answers on the provided grid. Consider the function g. For the x-value given in the

NeX [460]

Answer:

(-2,-12), (-1,-6), (0,-3) and (1,-3/2)

Step-by-step explanation:

g(x) = -3(1/2)^x

Putting values of x

x g(x)

-2 -3(1/2)^-2 = -12

-1 -3(1/2)^-1 = -6

0 -3(1/2)^0 = -3

1 -3(1/2)^1 = -3/2

Now, making the graph we will plot

(-2,-12), (-1,-6), (0,-3) and (1,-3/2)

The graph is shown in figure below.

8 0

3 years ago

Monique has 2 hours to complete 3 homework assignments.She wants to spend the same amount of time on each assignment.How meany m

slamgirl [31]

2 hours = 120 minutes. Divide 120 by 2, which is 40. So she has 40 minutes for each assignment

6 0

2 years ago

"a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place o

Mariulka [41]

Answer:

11.2 miles

Step-by-step explanation:

We can create a triangle from the information given.

We can call the starting point (0,0) in the coordinate system.

10 mi east - 10 miles to the right. then,
5 mi north - 5 miles above

See the attached picture. The direct distance is labeled as x.

Now we need to find x using pythagorean theorem.

Pythagorean Theorem = leg²+leg²=hypotenuse²

Solving for x:

$10^2+5^2=x^2\\100+25=x^2\\125=x^2\\x=\sqrt{125}\\x=11.18$

Rounding to nearest tenth, we have 11.2 miles

6 0

2 years ago

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