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3 years ago

Jane sells 8 times as many Volvos as Melissa. If the difference in their sales is 35, how many cars did Jane sell?

1 answer:

8 0

Here we have 2 variables we need to calculate:
x - how many Volvos Jane sold
y - how many Volvos Melissa sold

We write system of equations:
x = 8*y
x - y = 35
------------
8y - y = 35
7y = 35
y = 5
x = 8*5 = 40

Jane sold 40 cars.

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Howie sorkin can travel 8 miles upstream in the same time it takes him to go 12 miles downstream. His boat goes 15 mph in still

lozanna [386]

Answer: the speed of the current is 2.5 mph

Step-by-step explanation:

Let the speed of the boat be x miles per hour

Let the speed of the current be y miles per hour

Speed = distance / time

Time = distance/speed

If the boat goes 12miles downstream(in still water) at 15 mph then, the time is

12/ 15 = 0.8 hours

In still water, it means that it moved in the same direction with the current.

The total speed would be x + y. Therefore

x + y = 15 - - - - - - -1

If the boat goes 8 miles upstream in 0.8 hours, the the speed is

8/ 0.8 = 10 miles per hour

Assuming it moved in the opposite direction to the current.

The total speed would be x -y. Therefore

x - y = 10 - - - - - - -2

Adding equation 1 and equation 2, it becomes

2x = 25

x = 25/2 = 12.5

y = 15 - x

y = 15 - 12.5 = 2.5 miles per hour

8 0

3 years ago

Ashad is rewriting the expression 28 a + 36 a b as a product. Which statements about the expression are accurate and relevant to

Gala2k [10]

Answer:

(B)The GCF of the numbers(28 and 36) in each term in the expression is 4.

(C)The GCF of the variables(a and ab) in each term in the expression is a.

(E)The factored form of the expression is 4a(7+9b)

Step-by-step explanation:

Given the expression: $28a+36ab$

If we write it as a product, we obtain:

$28a+36ab=4a(7+9b)$

We can see the following

The GCF of the numbers(28 and 36) in each term in the expression is 4.
The GCF of the variables(a and ab) in each term in the expression is a.
The factored form of the expression is 4a(7+9b)

The correct options are B, C, and E.

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BigorU [14]

Solve for m by simplifying both sides of the equation, then isolating the variable.
m = -2.5

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3 years ago

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likoan [24]

Answer: The value of x is 8x

Step-by-step explanation:

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Halo, kak boleh bantu tidak? yang 3. E - H<br><br>4 dan 5 semuanya Thx

Gala2k [10]

Answer:

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Step-by-step explanation:

7 0

2 years ago