John has a jar of between 500 and 600 coins that are all nickels, dimes and quarters. The ration of the number of quarters to dimes is 8 : 5 and the ratio of the number of dimes to the number of nickels is 6 : 11. What is the total value of the Money in john’s jar of coins?

Answer:

Please check the explanation.

Step-by-step explanation:

Question 1)

Input, x                            Output, y

0                                       0

1                                         4

2                                        8

3                                       12

It is clear that the values of input 'x' and output 'y' are changing in constant proportions. It means the rate of change must be constant. Thus, this represents a linear function.

Finding the slope between (0, 0) and (1, 2)

slope = m = y₂-y₁ / x₂-x₁

                 = (2-0) / (1-0)

                  = 2 / 1

                  = 2

Thus, the slope = m = 2

We know that the y-intercept can be obtained by setting x = 0 and solving for y.

It is clear at x = 0, y = 0

Thus, the y-intercept b = 0

We know that the slope-intercept form of linear equation

y = mx+b

substitute m = 2 and b = 0

y = 2x + 0

y = 2x

Thus, the equation that describes the equation is:

y = 2x

Question 2)

The output is eleven more than the input.

As 'y' represents the output.

'x' represents the input.

so

y = x+11

Question 3)

The output is the cube of the input.

As 'y' represents the output.

'x' represents the input.

so

y = x³

Question 4)

The output is one more than twice the input.

As 'y' represents the output.

'x' represents the input.

so

y = 2x+1

Question 5)

y = 7x

substitute x = -5

y = 7(-5)

y = -35

Answer:

6

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

y(11)= x + 5

-5          -5

6= x  or x = 6

Hope this helps!!

Step-by-step explanation:

ΔABC is similar to ΔFED.

AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.

Hence side AB corresponds to side FE.

CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.

Hence side CB corresponds to side DE.

Answer:

1.  EF in ΔFED corresponds to AB in ΔABC.

2. DE in ΔFED corresponds to CB in ΔABC.

3. The length of DF is 10.

Step-by-step explanation:

Given: ΔABC is similar to ΔFED. Find the length of DF.

To Find: The length of side DF in ΔFED

Since, ΔFED is a right-angled triangle and also similar to ΔABC,

Applying similarity of triangles principle,

AB = 4  ,  EF = 8

BC = 3  ,  DE = 6

Now, applying Pythagorean theorem on ΔFED,

Hypotenuse² = Length² + Base²

⇒ DF² = DE² + EF²

⇒ DF² = 6² + 8²

⇒ DF² = 100

⇒ DF = √100

⇒ DF = 10

Final Answer: Hence the length of side DF is 10.

Answer:

15 Percent

Step-by-step explanation:

Answer:

5 = 5

Explanation:

Answer:

A. 2^x = 2^3 = 2*2*2 = 8

B. x^2 = 3^2 = 3*3 = 9

C. 1^x = 1^3 = 1*1*1 = 1

D. x^1 = 3^1 = 3

E. [tex](\frac{1}{2})^x = (\frac{1}{2})^3 = (\frac{1}{2})(\frac{1}{2})(\frac{1}{2})=\frac{1}{8}[/tex]

Answer:

755.16 cm³

Step-by-step explanation:

We can separate this into two parts -- the bottom rectangular prism and the top triangular prism.

The volume of the bottom part is 12*4*14 = 672 cm³

For the triangular prism, we have an equilateral triangle, with sides 4cm, as well as a length of 12cm. We can find the area of the triangle and multiply it by 12 for our answer. The area of an equilateral triangle is [tex]\frac{\sqrt{3} }{4} 4^{2}[/tex], which is approximately 6.83 -- we can multiply that by 12 to get 83.16 cm³

Add these 2 up to get 755.16 cm³ as our answer

Answer:

the answer is 9

Step-by-step explanation:

just took a test about it

Answer:

A. 9

Step-by-step explanation:

100% correct on edge

please mark brainliest:)

Answer:

C. c = -4

Step-by-step explanation:

you must get c by itself. you have to divide both sides by 10. this gets rid of the 10c and keeps both sides equal

-40/10 = c

c = -4

Answer:

Step-by-step explanation:

The expression is incomplete. Let say the expression is 4 (-2u + 7) = 44

Given the expression

4 (-2u + 7) = 44

Step 1: Open the bracket by distributing 4 over -2u and 7

4 (-2u + 7)= 44

4(-2u) + 4(7) = 44 (distributive property)

-8u + 28 = 44

Step 2: Subtract 28 from both sides

-8u + 28 - 28 = 44 - 28  (subtraction property of equality)

-8u  = 16

Step 3: Divide both sides by -8

-8u/-8 = 16/-8 (division property)

u = -2

Answer: A

The addition property of equality and then the division property of equality

Step-by-step explanation:

just did the quiz

Answer:

345°

Step-by-step explanation:

If a circle is 360° you would then have to take 15° away from 360° and get the answer of 345°

Answer: $43.00

Step-by-step explanation:

40.00 + 40.00 ÷ 100 × 7.5 = 43.00

Answer:

21

Step-by-step explanation:

Y=4x+1

y=4(5)+1

substitute and solve

Answer

21

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

times 15 and 6 maybe

Answer:

Step-by-step explanation:

                            Mixed number          Improper fraction

a) 1 + 1 + 1/3 =            [tex]2\frac{1}{3}[/tex]                                7/3

b) 1 + 1 + 1 + 5/8 =     [tex]3\frac{5}{8}[/tex]                                 29/8

c) 1 + 1 + 1 +2/4 =      [tex]3\frac{2}{4}[/tex]                                  14/4

Answer:

x = 8

y = 14

the short stanzas contain 8 lines

the long stanzas contain 14 lines

Step-by-step explanation:

lets call the short stanzas x

and the long stanzas y

using given information, you can make this equation

9x + 9y = 198

you can also make this equation

9x + 6y = 156

simplify the first equation

9x + 9y = 198

9x = 198 - 9y

x = 198/9 - y

x = 22 - y

substitute x for 22 - y in the second equation to find y

9(22 - y) + 6y = 156

198 - 9y + 6y = 156

-9y + 6y = -42

-3y = -42

y = 14

substitute y for 14 in the first equation to find x

9x + 9y = 198

9x + 9*14 = 198

9x + 126 = 198

9x = 198-126

9x = 72

x = 72/9

x = 8

Answer:

G=m/r-h^2

Step-by-step explanation:

move all the terms to the left side and set equal to zero. Then set each factor equal to zero. Hope this helps!

Answer:

The right answer isnt there

Step-by-step explanation:

Answer:

$7.40

Step-by-step explanation:

785 of 24 is 18.72, 150in = 4.17yrd, 4.117*5 is the minimum whole number that reaches 18.72, 5*1.48=7.40

Answer:

$7.40

Step-by-step explanation:

14

Step-by-step explanation:

4 × 49 =196

The square root of 196 is 14

hope it helps!

Answer:

Answer:

=  2.1 meters

Step-by-step explanation:

Answer:

ur question

Step-by-step explanation:

dunno

Answer:

(4rs)^2 = 16r^2s^2

This is how I would rewrite it as a power of a product.

As a power of a product, we can write the expression as -

(4rs)².

Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. Mathematically -

[tex]$b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]

where -

[b] = base of the logarithm

[x] = exponent

Given is the expression as follows -

16r²s²

We can write the expression given -

16r²s²

As a power of a product, we can write -

(4 x 4 x r x r x s x s)

(4² x r² x s²)

(4rs)²

Therefore, as a power of a product, we can write the expression as -

(4rs)².

To solve more questions on exponents, visit the link below -

brainly.com/question/30066987

#SPJ2

Answer: b - 9 = 7.

Step-by-step explanation:

Answer:

d is the answer ok :)

Step-by-step explanation: