Peter has $40.25 in his piggy bank. The amount is made up of an equal number of four coins. The coins could be 1c, 10c, 5c, 25c, 50c, and $1. Which four coin amounts are in the piggy bank, and how many of each coin. (the number of coins will be equal.)

Let the cosecutive numbers be like this :

2n + 1 , 2n + 2 , 2n + 3 , 2n + 4 , 2n + 5

Odd , Even , Odd , Even , Odd

______________________________

So we have :

(2n+1)+(2n+3)+(2n+5)=(2n+2)+(2n+4) + 39

6n + 9 = 4n + 6 + 39

6n + 9 = 4n + 45

Subtract both sides 9

6n + 9 - 9 = 4n + 45 - 9

6n + 0 = 4n + 36

6n = 4n + 36

Subtract both sides 4n

6n - 4n = 4n - 4n + 36

2n = 0 + 36

2n = 36

Divide both sides by 2

2n ÷ 2 = 36 ÷ 2

n = 18

______________________________

So the numbers are :

2(18)+1 , 2(18)+2 , 2(18)+3 , 2(18)+4 , 2(18)+5

36 + 1 , 36 + 2 , 36 + 3 , 36 + 4 , 36 + 5

37 , 38 , 39 , 40 , 41

As u can see the Odd numbers are :

37 , 39 , 41

And we're done ...

Answer:

m equals 4

Step-by-step explanation:

m represents the slope of the line.

The line equation is y = mx + b, which means that m = 4 and b = 0

Answer: The equation for the line is “y = 6x - 4”

Step-by-step explanation: To find this answer we will put it in slope-intercept form which is y = mx +b. To first find m which is the slope you subtract the the second y by the first y over the second x by the first x. It looks like this y2 - y1/ x2 - x1. After we find the slope which is 6, to find the y-intercept which is b we just plug a point we used to find the slope into the equation we have. It looks like this y = 6x + b —> 2 = 6(1) + b... I used (1,2). Then you solve for b by multiplying 1 by 6 and then subtracting 6 to both sides to get b by itself. So it goes from 2 = 6(1) + b into -4 = b. Then you just put -4 into b and you get the answer y = 6x - 4.

Have a nice day!

Answer:

Step-by-step explanation:

This is a right triangle, and side c, our unknown, is the hypotenuse, the longest side in a right triangle. Using Pythagorean's Theorem, we have

[tex]17^2+19^2=c^2[/tex] which simplifies to

[tex]289+361=c^2[/tex] and

[tex]650=c^2[/tex] and

c = 25.5"

Answer:

OP

Step-by-step explanation:

A chord is a segment whose extremes lie on the circumference

OP is a radius because has an extreme that is the center of the circumference and a radius is not a chord

[tex]_____________________________________[/tex]

[tex]\tt \sqrt{9} \\ = \tt \sqrt{ {3}^{2} } \\ = \large\boxed{\tt{\green{3}}}[/tex]

[tex]_____________________________________[/tex]

Answer:

4/3

Step-by-step explanation:

GH =√90²-72²=

√8100-5184=

√2916= 54

so, tan (H) = 72/54 = 4/3

⁴/3 is a required answer.

Answer:

Solution given:

FG=72

FH=90

By using Pythagoras law

GH=[tex]\sqrt{90²-72²}=54[/tex]

Step-by-step explanation:

we have

Tan H=[tex] \frac{opposite}{adjacent}[/tex]

[tex]TanH=\frac{GF}{GH}=\frac{72}{54}=\frac{4}{3}[/tex]

Answer: [tex]78.55\ m^2[/tex]

Step-by-step explanation:

Given

The goat is tied by a rope to one corner of a rectangular field with length of rope 10 m.

Zoe can graze in an area equal to quadrant of circle with radius 10 m

Area of grazing is

[tex]\Rightarrow \dfrac{1}{4}\times \pi r^2\\\\\Rightarrow \dfrac{\pi r^2}{4}\\\\\Rightarrow \dfrac{\pi \times 10^2}{4}=78.55\ m^2[/tex]

Answer:

2, probably

Step-by-step explanation:

Answer:

http://web.mnstate.edu/peil/MDEV102/U4/S36/S363.htmlStep-by-step explanation:

Answer:

First quartile: 35

Third Quartile: 46

Step-by-step explanation:

Answer:

2^5/2-8 may equivalent

Answer:

x = 80.96

Step-by-step explanation:

9x * 3x +1 = 2187

27x +1 = 2187

27x = 2187-1

27x = 2186

x = 2186/27 = 80.96(2dp)

Answer:

t > 28

Step-by-step explanation:

Given

> 7 ( multiply both sides by 4 to clear the fraction )

t > 28

Answer:

[tex]t > 28[/tex]

Step-by-step explanation:

Multiply both sides of the inequality by 4:

[tex]4 \times \frac{t}{4} > 4 \times 7[/tex]

Reduce the number with the greatest common factor 4:

[tex]t > 4 \times 7[/tex]

Multiply the number:

[tex]t > 28[/tex]

Answer:

54.7

Step-by-step explanation:

16.7 + 11 + 11 + 8 + 8 = 54.7

Note

I don't know how you are wrong but I showed my work and I got the same answer which is weird.

Answer:

1000

Step-by-step explanation:

1,080,000,000/1,047,000

Answer:

Step-by-step explanation:

take 18 degree as reference angle

using cos rule

cos 18=adjacent/hypotenuse

0.95=20/x

x=20/0.95

x=21.05

x=21.2

Answer:

11......................

Volume = (1/3) . π . r² . h

475.17 = (1/3) . π . r² . 15

475.17 = 5πr²

r² = 475.17/5π

r² = 30.25

r = √30.25 = 5.5

Diameter = 2r = 2 × 5.5 = 11 yd

Answer:

110?

Step-by-step explanation:

From what I read,

500/50= 10

so:

10×11= 110

Answer:

x = 12, x = 7

Step-by-step explanation:

The 2 legs of the triangle are congruent, both 2x + 7, then

2x + 7 + 2x + 7 + x + 11 = 85 ← equation for perimeter

5x + 25 = 85 ( subtract 25 from both sides )

5x = 60 ( divide both sides by 5 )

x = 12

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

Opposite sides are congruent, then

2(2x) + 2(5x + 3) = 104 ← distribute and simplify both sides

4x + 10x + 6 = 104

14x + 6 = 104 ( subtract 6 from both sides )

14x = 98 ( divide both sides by 14 )

x = 7

Answer:

x=12 x=7 yup thank me later

Answer:

72 ft^2

Step-by-step explanation:

A = bh

A = 12 ft * 6 ft

A = 72 ft^2

Answer:

72

Step-by-step explanation:

you have to do base times height

Answer:

Step-by-step explanation:

The common ratio of the terms is 0.6 (180/300=6/10;108/180=6/10). This is a geometric sequence .

nth term=500(0.6)^n-1

Answer:

C) 4,0

Step-by-step explanation:

Basically to find zeros you set up the expression equal to zero.

First pair is (0,0) they derived this by setting the leftmost x to 0 so x=0, this meant that when x was plugged back into the equation y = x(x-4) the y value we got out was 0 because y = 0 (0-4) = 0, thus the pair (0,0).

For second pair, we set up x-4= 0, solve this to get x = 4 (add 4 to both sides). Now plug this back into full equation y= 4 (4-4)= 0, you get y=0 and your ordered pair is (4,0) which is the second pair of zero.

Zero are x-intercept where y is zero which is the main reason why we setup x=0 or x-4=0 to start with.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[answer]  

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

⸻⸻⸻⸻

⸻⸻⸻⸻

See graph attached.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

16.8 cups

Step-by-step explanation:

3.5 percent of 30 gallons

Answer:

X IS A WORD TE-PAHADI

Step-by-step explanation:

Answer:

proportion: 6/8 = 3/x

x = 4

Step-by-step explanation:

6/8 = 3/x

6/2 = 3

8/2 = x

8/2 = 4

x = 4