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2 years ago

A coach of a baseball team orders hats for the players on his team. Each hat costs $9.95. The shipping charge for

Mathematics

1 answer:

maw [93]2 years ago

5 0

Answer:

$125 > $9.95h + $5

Step-by-step explanation:

the total cost of the order has to be less than 125 dollars

so we are using '>'

five dollars are already going to be used up because of the shipping charge

the cost of the total amount of hats (without shipping) is what we are changing

so $125 > $9.95h + $5

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if y varies inversely as x and y = 194 when x = -13, find y when x = 50. Round your answer to the nearest hundredth, if necessar

pashok25 [27]

Step-by-step explanation:

Since, y varies inversely as x.

$\therefore \: y = \frac{k}{x} \\ (k = constant \: of \: proportionality) \\ \therefore \: xy = k...(1) \\ plug \: y = 194 \: \: and \: \: x = - 13 \: in \: (1) \\ \therefore \: - 13 \times 194= k \\ \therefore \: k = - 2522 \\ substituting \: k = - 2522 \: in \: (1) \\ xy = - 2522...(2) \\ this \: is \: equation \: of \: variation. \\ plug \: x = 50 \: in \: (2) \\ 50 \times y = - 2522 \\ \therefore \:y = \frac{ - 2522}{50} \\ \huge \red{ \boxed{\therefore \:y = - 50.44}}$

8 0

3 years ago

-8<2x-4<4 solve the inequality

il63 [147K]

Answer:

Step-by-step explanation:

The inequality will be split into two

It is know that, if a<b<c

Then a<b and b<c

-8<2x-4<4

Apply that to this

Then,

-8<2x-4. Equation 1

Also,

2x-4<4 equation 2

Solving equation 1

-8<2x-4

Add 4 to both side of the equation

-8+4<2x-4+4

-4<2x

Divide both sides by 2

-4/2<2x/2

-2<x

Note, if a is less than b, then, b is greater than a, e.g. 4 is less than 10, this implies 10 is greater than 4

Therefore,

-2<x

Then, x greater than -2

Equation 2

2x-4<4

Add 4 to both side of the inequalities

2x-4+4<4+4

2x<8

Divide both side by 2

Then,

2x/2<8/2

x<4

Therefore x is between -2 and +4.

Check attachment for graphical solution

7 0

2 years ago

in a small school, there are 60 boys and 80 girls. write down the ratio of the number of boys to the number of girls. give your

tester [92]

60:80
Simplest form = 3:4

3 0

3 years ago

PLEASE HELP WILL GIVE BRAINLIEST

Svetach [21]

Answer:

Check explanation

Step-by-step explanation:

I'll give you my way of solving it and you can figure it out from there.

<CEA = <DEB due to vertical angles

AE = ED due to midpoint theorem

<CAD = <ADB due to alternating angles theorem

thus two triangles congruent due to ASA

5 0

3 years ago

The question, Find the image vertices for a dilation with center (0, 0) and a scale factor of 4.

Alexeev081 [22]

Answer:

Answer is A(-3/4, 1/4), B(1,3/4), C(1/2,3/4) D(1/4,1)

Step-by-step explanation:

From the attached diagram, the coordinates are:

A(-3,1), B(4,-3), C(2,3), D(1,4)

The image is gotten by dividing the coordinates by the scale factor 4 to get the above answer

4 0

3 years ago