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snow_tiger [21]
3 years ago
6

Two friends are collecting stuffed animals. Veronica has 5 more than double the number of stutted

Mathematics
1 answer:
STatiana [176]3 years ago
5 0

v + m = 32 and v = 5 + 2m are the equations that are used  to determine m, the number of stuffed animals Mariposa has

Number of stuffed animals Mariposa has is 9 and number of stuffed animals with Veronica is 23

<h3><u>Solution:</u></h3>

Let "v" be the number of stuffed animals with Veronica

Let "m" be the number of stuffed animals with Mariposa

Given that,

Together, they have 32 stuffed animals

Therefore,

v + m = 32  --------- eqn 1

Veronica has 5 more than double the number of stutted  animals as her friend Mariposa

Therefore,

Number of stuffed animals with Veronica = 5 + 2(number of stuffed animals with Mariposa)

v = 5 + 2m ---------- eqn 2

Thus eqn 1 and eqn 2 can be used to determine m, the number of stuffed animals Mariposa has

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

5 + 2m + m = 32

5 + 3m = 32

3m = 32 - 5

3m = 27

<h3>m = 9</h3>

Substitute m = 9 in eqn 2

v = 5 + 2(9)

v = 5 + 18

<h3>v = 23</h3>

Thus number of stuffed animals Mariposa has is 9 and number of stuffed animals with Veronica is 23

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Answer:

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Step-by-step explanation:

Given that:

Charges offered by Prestige car rentals for renting a midsize vehicle:

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Charges offered by Gateway Auto for renting a midsize vehicle:

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Per mile charges for renting a midsize vehicle = $0.12

To find:

Number of miles for which both the companies charge the same price?

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Let the number of miles for which both the companies will charge the same price = x miles

Charges for one mile by Prestige car rentals = $0.07

Charges for x miles by Prestige car rentals = $0.07x

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Charges for x miles by Gateway Auto = $0.12x

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2 years ago
Intervals are not my strongest suit when it comes to prepping for my act. I could use a little help, and advice if it isn’t too
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Answer:

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Start from the left side.

The arrow on the left side shows that the graph continues increasing forever as x decreases. Beginning at the highest value of y you see on the left side at point (-6, 5), as x increases, moving right along the x-axis, the y-values decrease. When you get to x = -4, y is at its lowest value which is 1.

Starting just to the right of x = -4, the y-values begin to increase from the lowest y-value of 1. The arrowhead at the right side top shows that the curve continues increasing forever to infinity.

The values of x for which y increases are all values greater than -4 and all the way to positive infinity.

This function is increasing for x > -4.

Now we need to write x > -4 in interval notation.

In interval notation, use a curved parenthesis to mean a number that is not included. The interval starts at -4, so it starts as

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The interval in x of increasing values goes to positive infinity, so now you write the infinity symbol, and you close the interval with a curved parenthesis. By convention, infinity always gets a curved parenthesis. Also, I'll use oo for infinity below.

(-4, oo)

Answer: F. (-4, oo)

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