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Scrat [10]
2 years ago
6

A yogurt machine makes

Mathematics
1 answer:
Norma-Jean [14]2 years ago
4 0

Step-by-step explanation:

the relationship between x and y is defined by a constant factor.

you can "go" from x to y and from y to x consistently and without any interruptions by applying that constant factor.

that makes it a linear relationship (a line on a chart, hence the name).

proportional relationships are relationships between two variables where their ratios are equivalent. another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

so, yes, it is proportional.

and the table is then

x y

0 0

3 3×2/3 = 2

6 6×2/3 = 4

9 9×2/3 = 6

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3. In the month of August, a car dealership sold a total of 72
Elan Coil [88]

Answer:

<em>The dealership sold in August 24 trucks and 48 cars</em>

Step-by-step explanation:

Equations

A dealership reported they sold a total of 72 vehicles.

It also determined that for every 4 cars sold, they sold 2 trucks. It means that they sold twice as many cars as trucks.

Let x be the number of trucks sold.

It follows that 2x is the number of cars sold.

The sum of both numbers must equal 72:

x + 2x = 72

Simplifying:

3x = 72

Solving:

x = 72 / 3 = 24

The number of cars were

2x= 48

The dealership sold in August 24 trucks and 48 cars

7 0
3 years ago
Find the point, M, that divides segment AB into a ratio of 4:7 if A is at (-33, 0) and B is at (0, 44).
insens350 [35]
Let's say the point is C, and divides AB on a 4:7 ratio, from A to B, meaning the AC segment takes 4 units of the lot and the CB segment takes 7.

\bf ~~~~~~~~~~~~\textit{internal division of a line segment}&#10;\\\\\\&#10;A(-33,0)\qquad B(0,44)\qquad&#10;\qquad \stackrel{\textit{ratio from A to B}}{4:7}&#10;\\\\\\&#10;\cfrac{A\underline{C}}{\underline{C} B} = \cfrac{4}{7}\implies \cfrac{A}{B} = \cfrac{4}{7}\implies 7A=4B\implies 7(-33,0)=4(0,44)\\\\&#10;-------------------------------

\bf C=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\&#10;-------------------------------\\\\&#10;C=\left(\cfrac{(7\cdot -33)+(4\cdot 0)}{4+7}\quad ,\quad \cfrac{(7\cdot 0)+(4\cdot 44)}{4+7}\right)&#10;\\\\\\&#10;C=\left( \cfrac{-231+0}{11}~~,~~\cfrac{0+176}{11} \right)\implies C=(-21~,~16)
6 0
3 years ago
(19 – 6) x [ 19 + { 15 + 8 – 3 } ]
Marianna [84]

Answer:

117

Step-by-step explanation:

=(3)×[19+{15+8-3}]

=3×[19+{23-3}]

=3×[19+20]

=3×39

=117

4 0
3 years ago
A private club was reduced by 27 members in 3 weeks. Its size changed by the same number of members each week. What was the chan
kozerog [31]
It was changed by 9 members per week.
6 0
3 years ago
The cost of a taxi ride is $5 plus $0.50 per mile write an algebraic expression that models the cost of a taxi of M miles. A-m(5
Alex787 [66]
The answer would be A or D
3 0
3 years ago
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