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3 years ago

Bethany has 3.10$ in nickels and dimes. She has a total of 44 coins . What is the value of the nickels Bethany has

Mathematics

2 answers:

Neko [114]3 years ago

8 0

Answer:this fool

Step-by-step explanation:$1.30 is the answer

vlada-n [284]3 years ago

5 0

Represent the unknows with n and d.

Then n+d = 44 (# of coins)

and

$0.05n + $0.10d = $3.10 (value of coins)

Solving the first equation for n, we get n = 44-d. Subst. 44-d for n in the 2nd equation:

0.05(44-d) + 0.10d = 3.10
Then 2.20 - 0.05d + 0.10d = 3.10, or
2.20 + 0.05d = 3.10, or 0.05d = 0.90. Solving for d,
0.90
d = -------- = 18
0.05

There are 18 dimes and 44-18 nickels. How many nickels is that? ;)

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What is the length of the midsegment of the trapezoid

makkiz [27]

Answer:

The length of the mid-segment of the trapezoid = 7

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Step-by-step explanation:

The mid-segment of a trapezoid is the segment that connecting the midpoints of the two non-parallel sides.

As shown in the figure the two non-parallel sides are AB and CD

∴ The mid-segment of the trapezoid = $\frac{BC +AD}{2}$

From the figure: BC = 8 and AD = 6

∴ The mid-segment of the trapezoid = $\frac{8+6}{2} = 7$

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3 years ago

Find the distance between the points with coordinates (5, 7) and (-3, 1)

Bess [88]

You would use the function root(Xsub2-Xsub1)^2+(Ysub2-Ysub1)^2.

Now plug in your numbers.

This gives you root(7-1)^2+(5-(-3))^2.

Simplify to root(6)^2+(8)^2. Simplify again to root36+64.

Simplify one more time to root 100. now solve.

Your answer is 10.

7 0

3 years ago

find the formula for a rational function that satisfies all of the following. its x-intercept is (-3,0). it has a vertical asymp

Norma-Jean [14]

Let that be

$\\ \rm\Rightarrow y=\dfrac{a(f(x))}{g(x)}$

Two vertical asymptotes at -1 and 0

$\\ \rm\Rightarrow y=\dfrac{a(f(x)}{x(x+1)}$

If we simply

$\\ \rm\Rightarrow y=\dfrac{a(f(x)}{x^2+1}$

Denominator has degree 2
Numerator should have degree as 2 and coefficient as 3 inorder to get horizontal asymptote y=3 means the quadratic equation should contain 3x²
But there should be a x intercept at -3 so one zeros should be -3

Find a equation

3x²+9x

Find zeros

3x²+9x=0
3x(x+3)=0
x=0,-3

Horizontal asymptote

3x²/x²
3

So our equation is

$\\ \rm\Rightarrow y=\dfrac{3x^2+9x}{x(x+1)}$

Graph attached

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2 years ago

I really need help rn T_T plz help me out!

pshichka [43]

Answers:

The lengths of sides PQ and RS are  13 
The lengths of sides QR and SP are 20

This is a 13 by 20 rectangle.

============================================================

Explanation:

Refer to the drawing below.

Let x be the length of side SP. Since we're dealing with a rectangle, the opposite side is the same length. Side QR is also x units long.

We're told that RS = SP - 7 which is the same as saying RS = x-7

We also know that PQ = x-7 as well because PQ is opposite side RS.

In short, we have these four sides in terms of x

PQ = x-7
QR = x
RS = x-7
SP = x

as shown in the drawing. The four sides add up to the perimeter of 66.

PQ+QR+RS+SP = perimeter

PQ+QR+RS+SP = 66

(x-7)+x+(x-7)+x = 66

4x-14 = 66

4x = 66+14

4x = 80

x = 80/4

x = 20

Use this x value to find the unknown side lengths.

PQ = x-7 = 20-7 = 13
QR = x = 20
RS = x-7 = 20-7 = 13
SP = x = 20

In short, this is a 13 by 20 rectangle.

-----------------

Check:

perimeter = side1+side2+side3+side4

perimeter = PQ+QR+RS+SP

perimeter = 13+20+13+20

perimeter = 33+33

perimeter = 66

The answer is confirmed.

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geniusboy [140]

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Step-By-Step Explanation- You're welcome lol

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