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Zolol [24]
3 years ago
10

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

Mathematics
1 answer:
Usimov [2.4K]3 years ago
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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Finn and Ellie sell oranges at a produce stand. Finn earns $5 for each crate of oranges he sells. At the end of the week, Ellie
KatRina [158]

The second term in the expression represents a. Finn's earnings at the end of the week.

To answer the question, we need to know what mathematical expressions are.

<h3>What are mathematical expression?</h3>

Mathematical expressions are expressions that show the relationship between two variables.

<h3>Finn's earnings</h3>

Now, let z be the number of crates Finn sold.

Since Finn earns $5 per crate, the total amount he earns at the end of the week is t = amount per crate × number of crates

= 5 × z

= 5z

<h3>Ellie's earnings</h3>

Now since Ellie earns $20 more than Finn, the amount Ellie earns is

T = 20 + t

= 20 + 5z.

So, 5z the second term in the expression represents Finn's earnings at the end of the week.

So, the second term in the expression represents a. Finn's earnings at the end of the week.

Learn more about mathematical expressions here:

brainly.com/question/11258067

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3 0
2 years ago
What is the determinant of the coefficient matrix of the system 0x+0y-0z=3 0x+0y+0z=-1 0x+0y+0z=18
makvit [3.9K]

Answer:

Zero.

Step-by-step explanation:

The determinant of the coefficient matrix of the system is zero, since every coefficient is equal to zero.

3 0
3 years ago
Natural numbers are _______ integers.
MakcuM [25]
1. Always
2. Always
3. Never
5 0
3 years ago
PASSAGE:
Art [367]

The shortest distance separating Julio from Sarah is 111.8ft

To know the distance of the shortest bridge between Julio and Sarah, the following procedure must be carried out.

We know that Julio walked 100ft to one side and Sarah walked 20ft to the opposite side, that is, on the <em>y-axis</em> they are 120ft apart.

On the other hand, Julio stayed by the river and Sarah walked 9ft away from the river, that is, on the <em>x-axis</em> they are separated by a distance of 59ft (assuming that the width of the river is 50ft).

To know the linear distance that separates them, it is necessary to use the following formula of the Pythagorean theorem.

c² = a² + b²

c= \sqrt{a^{2} + b^{2} }

From this operation we know the value of a and b:

a = 120ft

b = 59ft

Now we just have to replace the values in the formula.

c = \sqrt{120^{2} + 59^{2} }

c = \sqrt{14400 + 3481}

c = \sqrt{17881}

c = 133,7

However, 133.5ft is not the value of the bridge distance because Sarah went 9ft away form the river. Then a portion must be subtracted from her to calculate the exact portion of the distance above the river.

For this we must calculate the distance that separates them that is above the Earth, for this we use the same mathematical formula.

c = \sqrt{20^{2} + 9^{2}  }

c = \sqrt{400 + 81}

c = \sqrt{481}

c = 21,9ft

So the distance a part of the Earth covers is 21.9ft. To find out how far the bridge should be over the river, we subtract 21.9ft from the total distance 133.7ft

133,7ft - 21,9ft = 111,8ft

Note: This question is incomplete because it has missing information (the length and width of the river).

Learn more in: brainly.com/question/25292638

5 0
3 years ago
The ratio of ages of kissi and esinam is 3:5 and esinam is 3:5 The sum of ages of all 3 is 147 years.whats the age difference be
Sergio039 [100]

Answer:

48 years.

Step-by-step explanation:

Consider the complete question is "The ratio of ages of kissi and esinam is 3:5 and that of esinam and lariba is 3:5. The sum of ages of all 3 is 147 years. whats the age difference between oldest and youngest ?"

It is given that

Kissi : Esinam = 3:5 = 9:15

Esinam : Lariba = 3:5 = 15:25

So, the combined ratio is Kissi : Esinam : Lariba = 9:15:25

Let ages of Kissi, Esinam, Lariba are 9x, 15x and 25x.

Sum of ages of all 3 is 147 years.

9x+15x+25x=147

49x=147

x=3

The value of x is 3. So, the age of all three are

Kissi=9x=9(3)=27

Esinam=15x=15(3)=45

Lariba=25x=25(3)=75

Since Lariba is oldest and Kissi is youngest, therefore, the difference between their ages is

75-27=48

Hence, difference between oldest and youngest is 48 years.

8 0
2 years ago
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