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SVEN [57.7K]
2 years ago
15

A collection of quarters and nickels contains at least 42 coins and is worth at most $8.00. If the collection contains 25 quarte

rs, how many nickels can be in the collection? Let x = the number of quarters. Let y = the number of nickels. There are at least nickels, but no more than nickels.
Mathematics
2 answers:
Elenna [48]2 years ago
9 0

Answer:

17

35

Step-by-step explanation:

KIM [24]2 years ago
5 0

Answer:

17

35

Step-by-step explanation:

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In ADEF, f = 610 inches, e = 590 inches and ZE=70°. Find all possible values of ZF,
Elina [12.6K]

Answer:

"76°" is the appropriate solution.

Step-by-step explanation:

Please find attachment of the diagram according to the given query.

The given values are:

In ΔDEF,

f = 610 inches

e = 590

∠E = 70°

∠F = ?

By using the law of sines, we get

⇒  \frac{Sin E}{e} =\frac{Sin  F}{f}

On substituting the values, we get

⇒  \frac{Sin70^{\circ}}{590} =\frac{SinF}{610}

On applying cross multiplication, we get

⇒   SinF=\frac{610\times Sin 70^{\circ}}{590}

On substituting the values, we get

⇒            =\frac{61\times 0.95969262}{59}

⇒            =\frac{57.3212499}{59}

⇒            =0.971546608

now,

⇒  F=Sin^{-1}(0.971546608)

⇒      =76^{\circ}

4 0
2 years ago
Marissa has twice as much money as Frank. Christina has $20 more than Marissa. If Christina has $100, how much money does Frank
qwelly [4]

Answer:

a. Take a grid that shows represents the amount of money Frank has,

Say F,

( shown below ),

b. Since, Marissa has twice as much money as Frank,

So, the amount Marissa has = 2F

If M represents the amount Marissa has,

M = 2F

c. Now, Christina has $20 more than Marissa,

Add 20 to the grid M

d.  The below diagram provides enough information to determine the value of the variable m

e. The amount Christina has = M + 20 = 2F + 20

According to the question,

2F + 20 = 100

2F = 80

F = 40

Hence, the amount frank has = $ 40,

Amount Marissa has = 2(40) = $ 80,

3 0
2 years ago
A ball is thrown upward and outward from a height of 77 feet. the height of the​ ball, f(x), in​ feet, can be modeled by f left
Oksi-84 [34.3K]
From the given function modeling the height of the ball:
f(x)=-0.2x^2+1.4x+7
A] The maximum height of the ball will be given by:
At max height f'(x)=0
from f(x), 
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
thus the maximum height would be:
f(3.5)=-0.2(3.5)^2+1.4(3.5)+7
f(3.5)=9.45 ft

b]
How far from where the ball was thrown did this occur:
from (a), we see that at maximum height f'(x)=0
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
This implies that it occurred 3.5 ft from where the ball was thrown.


 c] How far does the ball travel horizontally?
f(x)=-0.2x^2+1.4x+7
evaluationg the expression when f(x)=0 we get:
0=-0.2x^2+1.4x+7
Using quadratic equation formula:
x=-3.37386 or x=10.3739
We leave out the negative and take the positive answer. Hence the answer 10.3739 ft horizontally.
6 0
2 years ago
Robert is designing a rectangular window based on the amount of wood he has available to make a frame around the window robert w
amm1812

Answer:3

Step-by-step explanation:

3 0
2 years ago
5x23x2 use properties to find the sum or protuct
sertanlavr [38]

Answer:

230

Step-by-step explanation:

use the multiplication property, it doesn't matter what wa ugh you do it because multiplication is on both sides

6 0
2 years ago
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