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3 years ago

Jimmy and Jennifer are selling pies for a school fundraiser. Customers can buy apple pies and blackberry pies. Jimmy sold 10

Mathematics

1 answer:

balu736 [363]3 years ago

7 0

Answer:

One apple pie is $4 and one blackberry pie is $20

Step-by-step explanation:

Create a system of equations where a is the cost of one apple pie and b is the cost of one blackberry pie:

10a + 2b = 80

10a + 3b = 100

Solve by elimination by multiplying the top equation by -1, then adding the equations together:

-10a - 2b = -80

10a + 3b = 100

Add these together:

b = 20

So, one blackberry pie is $20. Plug in 20 as b into one of the equations, and solve for a:

10a + 2b = 80

10a + 2(20) = 80

10a + 40 = 80

10a = 40

a = 4

So, one apple pie is $4.

One apple pie is $4 and one blackberry pie is $20

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MT&A uses the function f(x)=475-15x-15x.to depreciate smart phones. where f represents the value of smart phone and x repres

Shalnov [3]

Answer:

Find the answers in the explanation

Step-by-step explanation:

The given function is

f(x)=475-15x

A.) To find f^-1 and explain what it represents in this situacions, let f(x) = y. That is,

Y = 475 - 15x

Interchange y and x and make y the subject of formula

X = 475 - 15y

-15y = x - 475

Y = 475/15 - x/15

Y = (475 - x) / 15

Therefore,

f^-1(x) = (475 - x) / 15

If the function depreciates the smartphone, then, the inverse function will appreciate it.

When will the deprecated value of smart phone be less than $100.00

Substitute 100 for f(x) and find x

100 = 475 - 15x

-15x = 100 - 475

-15x = - 375

X = 375/15

X = 25

Therefore, the deprecated value of smart phone be less than $100.00 in the next 26 months.

what does x represent in f^-1(x) =30?

X represent the number of months for the smartphone appreciations

What is the value of x?

Substitute the inverse function for 30 and make x the subject of formula in the equation

f^-1(x) = (475 - x) / 15

30 = (475 - x) / 15

Cross multiply

450 = 475 - x

X = 475 - 450

X = 25 months

Graph f(x) and f^-1 (x) on the same coordinate

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3 years ago

Fill in the blank: A piecewise function uses different rules for different intervals of the _________.

Bogdan [553]

A piecewise function uses different rules for different intervals of the DOMAIN

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3 years ago

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Two skiers are 30 kilometers apart and head towards each other. They meet in 2 hours. If the second skier is 5 kilometers per ho

DENIUS [597]

Answer:

Speed of first skier = 5 km/h

Speed of second skier = 10 km/h

Step-by-step explanation:

Given:

Distance between skiers = 30 km

Time after which they meet = 2 hours

Second skier is 5 km/h faster than the first skier.

To find speed of each skier.

Solution:

Let the speed of first skier be in km/h = $x$

Distance covered in km 2 hours will be = $Speed\times time=x\times 2=2x\ km$

Speed of second skier in km/h can be given as = $x+5$

Distance traveled by second skier after 2 hours will be = $Speed\times time=(x+5)\times 2=(2x+10)\ km$ [Using distribution]

Since, the skiers were 30 km apart initially, so the total distance covered by both of them when they meet after 2 hours will be = 30 km

Thus, we have:

$2x+2x+10=30$

Solving for $x$

$4x+10=30$

Subtracting both sides by 10.

$4x+10-10=30-10$

$4x=20$

Dividing both sides by 4.

$\frac{4x}{4}=\frac{20}{4}$

$x=5$

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Speed of second skier = $5+5$ = 10 km/h

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3 years ago

Suppose there is a bag containing 5 red marbles (Upper R), 5 pink marbles (Upper P), 5 green marbles (Upper G), and 5 blac

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Answer:

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Step-by-step explanation:

(a)From the attached probability tree, the possible outcomes are:

RR,RP,RG,RB,PR,PP,PG,PB,GR,GP,GB,GG,BR,BP,BG,BB

(b)Probability Distribution of Drawing Pink Marbles

$\left|\begin{array}{c|c}Result&Probability\\----&----\\0&\frac{9}{16}\\----&---\\1& \frac{3}{8}\\----&---\\2&\frac{1}{16}\end{array}\right|$

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4 years ago

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Crank

Answer: 6

Step-by-step explanation:

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2 years ago

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