Bob has $3.69 in pennies, dimes, and quarters. The number of pennies is three more than the number of dimes. The number of quarters is twice the number of dimes. How many of each coin does he have?

Answers

Answer 1

Answer:

9 pennies, 6 dimes, 12 quarters.

Step-by-step explanation:

Pennies = $0.01

Dimes = $0.10

Quarters = $0.25

Let x be the number of dimes. Then (x + 3) is the number of pennies and 2x is the number of quarters.

We have x($0.10) + (x + 3)($0.01) + 2x($0.25) = $3.69

x($0.10) + (x + 3)($0.01) + 2x($0.25) = $3.69

$0.1x + $0.01x + $0.03 + $0.5x = $3.69

$0.61x = $3.66

x = 6.

Therefore Bob has 9 pennies, 6 dimes and 12 quarters.


Related Questions

Based on the information in the statement, what is phillips net worth

Can someone help me?

Answers

Answer:

B

Step-by-step explanation:

J

Answer:

B

Step-by-step explanation:

Hope it help

Suppose that height of a falling object t seconds after being dropped from a height of 262 feet is given by f(t)= 262-16t^2 feet. Find the average velocity between times t=3 and t=4

Answers

Given :

Height of a falling object t seconds after being dropped from a height of 262 feet is given by f(t)= 262-16t^2 feet.

To Find :

The average velocity between times t=3 and t=4 s .

Solution :

Velocity is given by :

[tex]V=\dfrac{df}{dt}=-32t[/tex]

Now , average velocity is given by :

[tex]V_{avg}=\dfrac{V_4-V_3}{4-3}\\\\V_{avg}=\dfrac{(-32)(4)-(-32)(3)}{1}\\\\V_{avg}= -32\ feet/sec[/tex]

Hence , this is the required solution .

please help me :((

Which ordered pair is a solution to the system of inequalities?

Answers

Answer: D  (-3,5)

Step-by-step explanation:

Using both inequalities input the values for x and y to see if it fits the inequality .

y > - 2    

x + y < 4    

The first coordinates are (1,3)  Where 3 is the y value and 1 is the x value.

 

3 > -2      so this works because 3 is greater than -2

4 < 4   This does not work because 4 is not greater than 4 .

So the first point is not a solution to the systems of inequalities.

Now try the second point.

(0,4)    

4 > -2    4 is greater than -2  so it works for the first inequality.

0+ 4 < 4     0 plus 4 is 4  and 4 is not greater than 4 so the second points does not also work for the inequalities so it is not a solution.

Third point

(-2,-3)

-3 > -2    -3 is not greater than -2 so this means the points will not work for the system of inequalities.

Last point

(-3,5)  

5 > -2  5 is indeed greater than -2 so it fits the first inequality now try the second one.

-3 + 5 < 4     -3 +5 is 2   and 2 is less than 4 so it does work for both inequalities so D is the answer.

What is the solution of -28 = 22 - 5x? btw this is a algebra 1 question

Answers

Answer:

x = 10

Step-by-step explanation:

-28 = 22 - 5x

5x - 28 = 22

5x = 50

x= 10

Answer:

50

Step-by-step explanation:

-28 = 22 - 5x?

22 - 50 = -28

Hope it helps :)

541.3 x 3.9 what is the answer pls write with explanation

Answers

Answer:

2111.07

Step-by-step explanation:

541.3 ×

3.9

Multiply each number by the number above it and the result will appear

Answer:

2111.07

Step-by-step explanation:

hope this will help you

2+3(3a+a)

What is the distribute of this?

Answers

2+12a is the distribute
Bring down the 2
Then multiply 3 by both 3a and a. 2+9a+3a
Then add like terms to get
2+12a

2. Find the product (2x + 3)(3x - 2).

Answers

Answer:

6x² + 5x - 6

Step-by-step explanation:

Given

(2x + 3)(3x - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(3x - 2) + 3(3x - 2) ← distribute both parenthesis

= 6x² - 4x + 9x - 6 ← collect like terms

= 6x² + 5x - 6

Answer:

here the answer is 6x² + 5x - 6

Step-by-step explanation:

here is the clear explanation

2x(3x - 2) + 3(3x - 2)

= 6x² - 4x + 9x - 6

= 6x² + 5x - 6

i not sure of the answer

sorry if it is wrong

A trail map has a scale of 3 inches to 2 miles. On the map, a trail is
5 1/4 inches long.

How long is the actual trail?

A. 1 and 3/4 miles
B. 2 and 5/8 miles
C. 3 and 1/2 miles
D. 7 and 7/8 miles

Answers

Answer:

it is not c. that is what I know

Step-by-step explanation:

The length of the actual trail will be 3 and 1/2 miles. The correct option is C.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that a trail map has a scale of 3 inches to 2 miles. The length of the actual trail will be calculated as:-

3 inches = 2 miles

1 inch = 2 / 3 miles

5¹/₂ inches = 5¹/₂ x  ( 2 / 3 )miles

5¹/₂ inches = 5.2 x ( 2 / 3 )

5¹/₂ inches = 3.5 miles = ( 2¹/₂) miles

Therefore, the length of the actual trail will be 3 and 1/2 miles. The correct option is C.

To know more about an expression follow

https://brainly.com/question/10724285

#SPJ2

I need help please! If m∠ABD=76°​, what are m∠ABC and m∠​DBC? If m∠JKH=77° then m∠NDF=​__

Answers

Answer:

m<ABC = 41°

m<DBC = 35°

m<NDF = 77°

Step-by-step explanation:

Problem 1:

Given, m<ABD = 76°, m<ABC = (7x - 1), m<DBC = (5x + 5)

m<ABC + DBC = m<ABD (angle addition postulate)

[tex] (7x - 1) + (5x + 5) = 76 [/tex] (substitution)

Solve for x

[tex] 7x - 1 + 5x + 5 = 76 [/tex]

Collect like terms

[tex] 7x + 5x - 1 + 5 = 76 [/tex]

[tex] 12x + 4 = 76 [/tex]

Subtract 4 from each side

[tex] 12x + 4 - 4 = 76 - 4 [/tex]

[tex] 12x = 72 [/tex]

Divide each side by 12

[tex] x = 6 [/tex]

Find m<ABC

m<ABC = (7x - 1)

Plug in the value of x

m<ABC = 7(6) - 1 = 42 - 1 = 41°

Find m<DBC

m<DBC = (5x + 5)

Plug in the value of x

m<DBC = 5(6) + 5 = 30 + 5 = 35°

Problem 2:

<JKH and <NDF are corresponding angles. Corresponding angles are congruent.

Given that m<JKH = 77°, m<NDF = 77° (corresponding angles are equal).


A security guard uses 20 minutes of every hour to walk outside the school, leaving the remaining
40 minutes for monitoring inside the school. Write the ratio that represents the time the
security guard spends outside to the time spent inside.

Answers

Answer:

40/20, 40:20, 40 to 20

Step-by-step explanation:

20min/1hr

40min/1hr

Question order asks ratio from outside time to inside time so the 40 would come first. also, all the above are correct. You can write a ratio as a fraction, with a colon, or with the word to.

Using the quadratic formula to solve x2 = 5 - X, what are the values of X?
-1 √21
2
-13 19
51-421
1119
2
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

The answer is

[tex]x = \frac{ - 1 + \sqrt{21} }{2} \: \: \: or \: \: \: x = \frac{ - 1 - \sqrt{21} }{2} [/tex]

Step-by-step explanation:

x² + x - 5 = 0

Using the quadratic formula

That's

[tex]x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

From the question

a = 1 , b = 1 , c = - 5

Substitute the values into the above formula and solve

We have

[tex]x = \frac{ - 1\pm \sqrt{ {1}^{2} - 4(1)( - 5) } }{2(1)} \\ x = \frac{ - 1\pm \sqrt{1 + 20 } }{2} \\ x = \frac{ - 1\pm \sqrt{21} }{2} [/tex]

We have the final answer as

[tex]x = \frac{ - 1 + \sqrt{21} }{2} \: \: \: or \: \: \: x = \frac{ - 1 - \sqrt{21} }{2} [/tex]

Hope this helps you

How would I solve Part B?

Answers

Answer:

D (-4, -9)

Step-by-step explanation:

midpoint formula:

(x₁ + x₂) / 2 , (y₁ + y₂) / 2

plug in C (2,7)

(2 + x₂) / 2 , (7 + y₂ ) / 2 = (-1, -1)

(2 + x₂) / 2 = -1

multiply each side by 2

2 + x₂ = -2

subtract 2 from both sides

x₂ = -4

(7 + y₂) / 2 = -1

multiply each side by 2

7 + y₂ = -2

subtract 7 from both sides

y₂ = -9

D (-4, -9)

If i = the square root -1, what is i^3 equal to?​

Answers

Answer:

[tex] \sqrt{ - 1} [/tex]

Step-by-step explanation:

that's the correct answer

Point P is in the interior of ∠OZQ. If m∠OZQ = 125 and m∠OZP = 62, what is m∠PZQ?

Answers

Answer:

63°

Step-by-step explanation:

If point P is in the interior of ∠OZQ, then ∠OZQ = ∠OZP+∠PZQ. Given m∠OZQ = 125 and m∠OZP = 62, to get m∠PZQ, we will substitute the value of the angles given into the expression above as shown;

∠OZQ = ∠OZP+∠PZQ.

125 = 62 + ∠PZQ.

subtract 62 from both sides;

125 - 62 = 62 + ∠PZQ -62

63 = ∠PZQ

Hence the angle  m∠PZQ is 63°

Point S is the midpoint of AK. AS = 5x - 3, and AK = 9x + 9. What is the length of AS?

Answers

AS=0.5AK
5x-3=0.5(9x+9)
5x-4.5x=4.5+3
0.5x=7.5
x=15
AS=5(15)-3=72

Hope this can help.

congruence transformation pls help

Answers

Answer:

X, 3, 1

Step-by-step explanation:

hello again.

Find f(−2) given that f(x)=2x2−3x+7.

Answers

Answer:

21.

Step-by-step explanation:

f(x) = 2x^2 - 3x + 7.

When x = -2,

f(-2) = 2(-2)^2 - 3(-2) + 7

= 2(4) - (-6) + 7

= 8 + 6 + 7

= 21.

Answer:

21

Step-by-step explanation:

So we have the function:

[tex]f(x)=2x^2-3x+7[/tex]

And we want to find f(-2).

To do so, substitute -2 for x. Thus:

[tex]f(-2)=2(-2)^2-3(-2)+7[/tex]

Square:

[tex]f(-2)=2(4)-3(-2)+7[/tex]

Multiply:

[tex]f(-2)=8+6+7[/tex]

Add:

[tex]f(-2)=21[/tex]

And we're done!

After taxes, Alexandra's take home pay is 7 10 of her salary before taxes. Enter and solve an equation to find Alexandra's salary before taxes for the pay period that resulted in $378 of take-home pay. Let s represent your variable.

Answers

Answer:

$540

Step-by-step explanation:

Let s be Alexandria's salary before taxes.

Let t be her take-home after taxes = $378

The question says her take-home is 7/10 of her salary before taxes

So to calculate what her salary was before taxes:

s x (7/10) = $378

We divide both sides by 7/10

S = 378 ÷ 7/10

S = 378x10/7

S = 3780/7

S = 540

Therefore from the calculations above, her salary before taxes was $540

What is the opposite of 5.98​

Answers

Answer:

[tex]\huge\boxed{-5.98}[/tex]

Step-by-step explanation:

The opposite of 5.98 is the negative one.

Since 5.98 is a positive integer, it's opposite would be the negative integer having a "-" sign.

So, the opposite of 5.98 is:

=> -5.98

Hi there!

~

An opposite number of n is the exact same number as n on the other side of the number line. The opposite of n = -n.

⇒ Since 5.98 is positive, it's opposite must be negative.

⇒ We multiply 5.98 by -1 to find the opposite:

Opposite of [tex]5.98 = -(5.98) = -5.98[/tex]

         ↓

∴Good luck∴

Choose Yes or No to tell whether the number is a
perfect cube.
a. 27
Yes
O No
b. 100
Yes
No
C. 125
Yes
No
d. 1,000
Yes
No

Answers

Answer:

A. Yes

B. No

C. Yes

D. Yes

help me with this please

Answers

Answer:

C. 7.5m

Step-by-step explanation:

[tex]8m \: up= 3m \: above \\ 12m \: up = x \: above[/tex]

Cross multiply

[tex]8x = 12 \times 3 \\ 8x = 36[/tex]

Divide both sides of the equation by 8

[tex] \frac{8x}{8} = \frac{36}{8} \\ x = 4.5 \\ 3 + 4.5 = 7.5m[/tex]

2(x^2-7)+8=40 just answer pls

Answers

Answer:

x = +- sqrt 23

Step-by-step explanation:

positive and negative square root of 23.

Answer:

x=√ 23 and x=-√ 23

Step-by-step explanation:

2(x^2-7)+8=40

2x^2-6=40

2x^2=46

x^2=23

x=√ 23

x=-√23

Find 5 consecutive numbers whose sum is 65.

Answers

Answer:

11, 12, 13, 14 and 15.

Step-by-step explanation:

This is because these numbers are consecutive and add up to 65

PLEASE GIVE BRAINLIEST

Answer:

11 + 12 + 13 + 14 + 15 = 65

consecutive numbers are numbers that don't have gaps in between

Solve 2x+1=-52x+1=−5 x=

Answers

i tried this problem and i keep getting zero.

28mn/7n anmd 4m are these expressions equvialent

Answers

Answer:

yes; see below

Step-by-step explanation:

28mn / 7n

the n's cancel out

28m / 7

28/7 = 4

you are left with 4m

4m = 4m

Vincent ran 24 laps on Monday. This is 66 and two-thirds percent of the maximum number of laps he has run in one day. What is the maximum number of laps Vincent has run in one day?

Number of Laps
33 and one-third percent
33 and one-third percent
33 and one-third percent

Answers

Answer:

36

Step-by-step explanation:

it just is just trust me its right

Answer:

36.

Step-by-step explanation:

I Took The Quiz (On Edge) and I Solved It and it happened to be 36. Hope This Helps :).

a die is thrown once find the probability of getting number 3 ​

Answers

Answer:

0.5

Step-by-step explanation:

there are 6 sides the probability of getting 3 is 3/6=1/2=0.5

Answer as a fraction = 1/6

This is because there is one side labeled "3" out of 6 sides total.

If you need the decimal form, then that is approximately 1/6 = 0.167

XY has a length of 20 and contains a point Z in between. If XZ = -5x+1 and ZY = 3x+5, find ZY.

Answers

Answer:

10.25 or 10 and 1/4

Step-by-step explanation:

Answer:

10.25

Step-by-step explanation:

Assuming that XZ = 5x + 1 (not -5x + 1)

XY = XZ + ZY

20 = 5x + 1 + 3x + 5

20 = 8x + 6

14 = 8x

8x = 14

x = 14/8 = 1.75

ZY = 3x + 5

ZY = 3 * 1.75 + 5

ZY = 5.25 + 5

ZY = 10.25

Which of the following options have the same value as 20% of 45?

Answers

Answer:

[tex]B. \: \frac{1}{5} \cdot 45[/tex]

[tex]E.\: 0.2 \cdot 45[/tex]

[tex]D. \: \frac{20}{100}\cdot 45[/tex]

Step-by-step explanation:

% means /100

[tex]20\% = \frac{20}{100} \\\\20/100 =0.2\\= 0.2\cdot 45\\\\\frac{20}{100}=\frac{1}{5} \\\\= \frac{1}{5} \cdot 45[/tex]

Answer:

B, D, and E.

Step-by-step explanation:

20% is 20/100, or 0.2

so, if we put 20/100 instead of 20%, we get 20/100*45

the same goes for the rest of them. (remember, 1/5 is the same as 0.2)

Do 3 lines always, sometimes or never intersect at one point?

Answers

Answer:

Sometimes

Step-by-step explanation:

Three line sometimes intersect

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