Carmela opened her piggy bank and found she had $15.30. If she had only nickels, dimes, quarters, and half-dollars and an equal number of coins of each kind, how many coins did she have in all

Answers

Answer 1

Answer:

  68 coins

Step-by-step explanation:

We can use the given information to write two equations involving the numbers of coins. One will express the total number of coins; the other will express their value.

__

setup

Since there are equal numbers of coins of each type, we can let n represent the number of each kind of coin. The total number coins will be ...

  n +n +n +n + N . . . the sum of numbers of nickels, dimes, quarters, halves

The value of the coins is ...

  0.05n +0.10n +0.25n +0.50n = 15.30

solution

The second equation lets us find the value of n:

  0.90n = 15.30

  n = 17 . . . . . . . . divide by 0.90

Then the number of coins in all is ...

  4n = N

 4(17) = N = 68

Carmela had 68 coins in all.


Related Questions

For the data set 7, 5, 10, 11, 12, the mean, x, is 9. What is the standard
deviation?

Answers

Answer:

Standard Deviation is s = 2.9

Step-by-step explanation:

Count = [tex]N[/tex] = 5

Mean = [tex]x^-[/tex] = 9

Variance = [tex]s^2[/tex] = 8.5

SD Formula = [tex]s = \sqrt \frac{1}{N - 1} (x_{i} - x^-)^2[/tex]

Variance Formula[tex]s^2 = \frac{(x_{i} - x^-)^2}{N- 1}[/tex]

Step 1: Calculate the variance

[tex]= \frac{(7-9)^2 + (5-9)^2 + (10-9)^2 + (11-9)^2 + (12 -9)^2 }{5-1}[/tex]

[tex]=\frac{34}{4} = 8.5[/tex]

Step 2: Apply square root/SD formula

[tex]=\sqrt{8.5} = 2.9[/tex]

I need this due by tonight what is 45+x=75

Answers

Answer:30

Step-by-step explanation: jus subtract total number by 45 to c what u missin

Given: [tex]\textsf{45 + x = 75}[/tex]

Need:  [tex]\textsf{The value of the unknown x}[/tex]

Solution:  In order to solve for the unknown we must subtract 45 from both sides which would isolate x and given us the value.

Subtract 45 from both sides

[tex]\textsf{45 - 45 + x = 75 - 45}[/tex][tex]\textsf{x = 75 - 45}[/tex][tex]\textsf{x = 30}[/tex]

After simplifying the expression we were able to determine that x is equal to 30.

Use the tables below to answer the following questions: a. f(h(2)) b. g(h(f(1))) c. g(g(4))

Answers

Answer:

19-73 19-73 and the other half way back home from the

to ghana 5hjgf and to the 8

please evaluate the equation​

Answers

Step-by-step explanation:

[tex] = \sum \limits_{n = 1}^{7} ( - 2. {6}^{n - 1} )[/tex]

[tex] = \sum \limits_ {n = 1}^{n_{ \text{max}}} (a_1. {r}^{n - 1} )[/tex]

[tex] \: [/tex]

[tex]a_1 = - 2[/tex]

[tex]n = 7[/tex]

[tex]r = 6 \to r >1[/tex]

[tex] \: [/tex]

• Find S7.

[tex]s_n = a_1.( \frac{ {r}^{n} - 1}{r - n} )[/tex]

[tex]s_7 = - 2.( \frac{ {6}^{7} - 1 }{6 - 1} )[/tex]

[tex]s_7 = - 2.( \frac{279.936 - 1}{5} )[/tex]

[tex]s_7 = - 2.( \frac{279.935}{5} )[/tex]

[tex]s_7 = - 2 \: . \: 55.987[/tex]

[tex]s_7 = - 111.974[/tex]

The answer is B.

Round the number to the nearest ten-thousands:
388,725
a. 400,000
b.390,000
c. 388,800
d. 389,000

Answers

Answer:

B is the correct answer

Step-by-Step:

Which is true about the solution to the systems of inequalities shown?

Answers

Answer:

There are no solutions

Step-by-step explanation:

If y is greater or equal to 3x+1 it can not be less than 3x-3 since 3x-3 is 4 less than 3x+1. Therefore, there can not be any solutions for the system of inequalities.

Given: JLM is equilateral. Z is the midpoint of JM.
Prove: JZL is congruent to MZL.

Answers

Proving Congruence

There are multiple ways to prove congruence between two triangles:

SSS - three sides are congruentSAS - two sides and the angle in between are congruentASA - two angles and the side in between are congruentAAS - two angles and one side are congruentHL - (applies only to right triangles) the hypotenuse and one leg are congruent.

Keep in mind that the order of the letters matters.

Solving the Question

Given triangle JLM, we know that

S - Z is the midpoint of JM, meaning JZ is congruent to MZ.S - Both triangles share side LZ.S - Because JLM is an equilateral triangle, LJ is congruent to LM.

This is only one of the ways to prove congruence with these two triangles.

Which of the following rational functions is graphed below?

Answers

Answer:

B

Step-by-step explanation:

The vertical asymptotes are the red dashed lines. They are x = -4 and x = 0. Think of them as electric fences that the graph cannot touch or cross. The curve can only get closer and closer.

This question has already been posted, so all credit goes to jimthompson5910.

https://brainly.com/question/20689400

Which equation is equivalent to the given equation?
-4(X - 5) + 8x = 9x - 3

Answers

Answer:

-5x=-23

Or

X=23/5

Step-by-step explanation:

please help me with my math

Answers

Answer:

x = 115

z = 27

Step-by-step explanation:

x + 65 = 180 (same side interior angles)

x = 115

x = 3z +34 (alternate interior angles)

115 = 3z + 34

3z = 81

z = 27

Answer: x = 115, z = 27

Step-by-Step Solution:

We know, Adjacent or Consecutive Interior Angles are Supplementary and Alternate Interior Angles are Equal.

So,
=> x + 65 = 180 (Adjacent interior angles)
=> 3z + 34 = x (Alternate interior angles)

First solve Equation 1 :-

x + 65 = 180
x = 180 - 65
=> x = 115

Therefore, x = 115.

Now we got the value of ‘x’. Substitute this value in Equation 2 to find the value of ‘z’ hence completing our answer.

Substitute value of ‘x’ in Equation 2 :-

3z + 34 = x
3z + 34 = (115)
3z = 115 - 34
3z = 81
z = 81/3
=> z = 27

Therefore, z = 27.

Now we have the required answers.
Hence, x = 115 and z = 27.

Which calculation correctly uses prime factorization to write square root of 48 in simplest form?

Answers

The simplest form of the square root of 48 is 4√3

Simplifying rational functions

Given the following rational function √48

The correct prime factorization is given as;

√48 = √3×16

√48  = √16 × √3

Since the square root of 16 is 4, hence;

√48 = 4√3

Hence the simplest form of the square root of 48 is 4√3

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Identify the inverse g(x) of the given relation f(x).
f(x) = {(8, 3), (4, 1), (0, –1), (–4, –3)}

g(x) = {(–4, –3), (0, –1), (4, 1), (8, 3)}

g(x) = {(–8, –3), (–4, 1), (0, 1), (4, 3)}

g(x) = {(8, –3), (4, –1), (0, 1), (–4, 3)}

g(x) = {(3, 8), (1, 4), (–1, 0), (–3, –4)}

Answers

Answer:

Last choice

Step-by-step explanation:

The basic definition of inverse function is both domain and range are swapped.

The domain is defined as set of all x-values while range is defined as set of all y-values.

If we have set of function h = {(1,2), (3,4), (5,6)} then the inverse will be {(2,1), (4,3), (6,5)}. Thus, if set of (x,y) is original function then set of (y,x) will be inverse of set of (x,y).

Henceforth, the inverse of f(x) will be g(x) = {(3,8), (1,4), (-1,0), (-3,-4)}.

Answer:

D. g(x) = {(3, 8), (1, 4), (–1, 0), (–3, –4)}

Step-by-step explanation:

hope this helps:)

It takes 15 men, 48 days to weed a plot of land. How

plot of land in 16 days, if
mary men can weed the same
kry work at the sametime?

Answers

Answer:

it takes 48 days for 15 men to work

it takes 16 days for 15/48*16

the answer is 5 men

Answer:

45 men

Step-by-step explanation:

If you 1/3 the amount of time (from 48 to 16 ) to weed the plot, you will need to TRIPLE the number of men    to     45  men

I
1
8 in
Find h.
13 in
= √[?] in.

Answers

as the following pic you can see the answer.

#diameter is 8 so radius is 4

Help Me. I need to get back on track on common factors and factors.​

Answers

Answer:

A) 1, 2, 4

Hope this helps you!

Answer:

A. 1, 2, 4

Step-by-step explanation:

32= 1*32, 2*16, 4*8

36* 1*36, 2*18, 3*12, 4*9, 6*6

Common factors: 1, 2, 4

So the Answer is A.

This circle is centered at the origin, and the length of its radius is 8. What is
the equation of the circle?

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: x² + y² = 64[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Standard equation of circle is :

[tex]\qquad \tt \rightarrow \: (x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]

[tex] \textsf{h = x - coordinate of centre of circle} [/tex]

[tex] \textsf{k = y - coordinate of centre of circle} [/tex]

[tex] \textsf{r = radius= 8} [/tex]

Since the circle is centered at origin, h = k = 0

[tex]\qquad \tt \rightarrow \: (x - 0) {}^{2} + (y - 0) {}^{2} = {8}^{2} [/tex]

[tex]\qquad \tt \rightarrow \: {x}^{2} + {y}^{2} = 64 [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

A plane flies at 350 mph in the direction 40° north of east, with a wind blowing at 40 mph in the direction 30° south of east. What is the plane’s drift angle?

5.90°
6.38°
45.89°
46.38°

Answers

If the plane flying in direction of 40° north of east at a speed of  350 mph and wind is blowing at 40 mph in the direction 30° south of east. then the drift angle will be 5.9 °.

Let's assume east as x axis and north as y axis.

Breaking velocity of plane into components

350 cos40°  î + 350 sin40°  ĵ

(350 × 0.76604)  î + (350 × 0.64278)  ĵ

268  î + 225  ĵ

Breaking velocity of wind into components

40 cos30°  î - 40 sin30°  ĵ

(40 × 0.86602)  î - (40 × 0.5)  ĵ

34.64  î - 20  ĵ

Now adding velocity of wind to velocity of plane as

The resultant velocity of the plane =  initial velocity of plane + velocity of wind

( 268 + 34.64 )  î + ( 225 - 20 ) ĵ

302.64  î + 205  ĵ

So the final velocity of plane will be 302.64  î + 205  ĵ

Lets assume the angle of final velocity from east be θ

So Tan θ = perpendicular / base

So Tan θ = 205 / 302.64

Tan θ = 0.677

θ = Tan⁻¹(0.677)

θ = 34.12 °

As we know,

Drift angle is the difference of initial and final angle of the object measured from same reference.

Drift angle=| Initial angle of plane from east - final angle of plane from east |

Drift angle= | 40 - 34.12 |

Drift angle= 5.87 ° ≈ 5.9 °

So we used the concepts of vectors to solve the above question, first we find out the the final angle of plane from east and then takes the difference of initial and final angle from east to find the drift angle and that we got as 5.9 °.

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a company's stock begins the week with a price of 43.85 per share the price changes by 2.70 each day for 2 days then the price changes by -1.10 each day for 2 days on the last day the price changes by -4.45 what is the price per share of the company's stock after those 5 days

Answers

Step-by-step explanation:

so, in other words, the price is

43.85 + 2.7 + 2.7 - 1.1 - 1.1 - 4.45 =

= 43.85 + 5.4 - 2.2 - 4.45 = 43.85 + 3.2 - 4.45 =

= 43.85 - 1.25 = 42.60

PLEASS HELP!!

3 folders cost $2.91.
Which equation would help determine the cost of 2 folders?

Answers

Answer:

The answer is B

Step-by-step explanation:

By proportion , 3 : 2.91 = 2: x . then you write it in fraction

What is the value for y?
Enter your answer in the box.

Answers

Answer:

angle A=angleB .…(समदिबाहु त्रिभुज भएर)

34°=(x-5)°

or, 34=34

angleA+angleB+angleC=180°

or, 34+34+4y=180

or, 68+4y=180

or, 4y=180-68

or, 4y=112

or, y=112÷4

or, y=28

Damek has five number cards lying on the table. There are two number cards with digit 1, two number cards with digit 2 and one number card with 0. How many different three-digit numbers can Damek form? (Number cannot being with 0).

(P.S. Is there a way to find the answer without listing all the possibilities?)

Answers

Damek can form 14 three-digit numbers from the given situation. Hence, only 14 possibilities.

There are five number cards on the table.

2- digit 1 card

1- digit 0 card

2- digit 2 card

There is a possibility of putting 1 or 2 in the hundredth place.

If 1 is put in the hundredth place then there are 3 possibilities for tenth place 1,0,2

If 1 is put there then there is a possibility of 2 numbers 0,2 in ones place

If 2 is put then there is a possibility of 3 numbers 0,1,2 in ones place

If 0 is put then there is a possibility of 2 numbers 1,2 in ones place.

So, there are 7=(2+3+2) possibilities that the hundredth place is filled by 1.

Similarly, there will be 7 possibilities that the hundredth place is filled by 2.

Hence, there are 14 possibilities as required by the problem.

So, the possibilities of 3-digit numbers are (given the number cannot start with 0) 14.

Learn more about permutation here-

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Problem 4
(a) three friends are packing sweets into gift boxes. they agree that
each box should contain the same number of sweets, but they are
each working in separate locations with their own pile of sweets so
cannot share boxes. gwen has 286 sweets, bill has 390 sweets and
zeta has 468 sweets. if they put the largest number of sweets into
each box that they can and they use up all their sweets, how many
boxes of sweets will they pack?
(b) use the euclidean algorithm to find the highest common factor of
8008 and 24255 (you need to show all working).

Answers

Answer:

286+390+468÷3= answer

Use the following information for problems 5-8.

f(2, 33) = 5.5, p < 0.01

1) how many groups were in this study?
a) 34
b)33
c) 3
d) 2

how many participants were in this study?
a) 36
b) 33
c) 3
d) 2

what is the f ratio?
a) 5.5
b) 2
c) 33
d) 0.01

Answers

The number of groups is 3, the number of participants is 36, and the f ratio is 5.5.

What are the null hypothesis and alternative hypothesis?

The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

f(2, 33) = 5.5, p < 0.01

From the above details, we can find the number of groups:

5) Number of groups = df for groups + 1

Number of groups  = 2+ 1 = 3

Option (c) is correct.

6) Number of participants =2 + 33 + 1 = 36

Option (a) is correct.

7) f ratio = 5.5

Option (a) is correct.

8) True; as the p-value is less than the 0.01 level.

Thus, the number of groups is 3, the number of participants is 36, and the f ratio is 5.5.

Learn more about the null hypothesis and alternative hypothesis here:

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Mr. Gaffy asked his students to pick a number, add
3 to it, multiply by 5 and then reduce it by 12.
Jermaine calls out his answer of 15. What number
did Jermaine start with?

Answers

Answer:

2.4

Step-by-step explanation:

We must do the inverse of every operation:

15 + 12 = 27

27/5 = 5.4

5.4 - 3 = 2.4

He multiplied 3 and 5 and got 15

Subtract-3x - 8 from 4x² - 7x - 2.

Answers

[tex]( {4x}^{2} - 7x - 2) - (3x - 8) \\ \\ {4x}^{2} - 7x - 2 - 3x + 8 \\ \\ {4x}^{2} - 10x + 4.[/tex]

Jim thinks of a number (n). He adds 5 to the
number then multiplies the result by 7.
(a) Write this as a expression.
The answer Jim gets is 91.
(b) Work out the number Jim thought of.
Show all your
working.

Answers

Answers + Step-by-step explanation :

a) the equation should be:
7(n + 5) = 91 since you first add 5 to n and then multiply it by 7. The answer is 91 so that is on the other side of the equal sign

b) we can solve our equation to find for n, the number jim thought of

7(n + 5) = 91
I will use the distributive property.

7n + 35 = 91

Subtract 35 on both sides

7n = 56

Now divide 7 on both sides to find n

n = 8

The number Jim was thinking of was 8! this should be correct, hope this helps!

Which equation has a graph that lies entirely above the x-axis?

y = -(x + 7)² + 7
y= (x-7)²-7
y= (x-7)² +7
y= (x-7)²

Answers

Heyo!

The equation when displayed on a graph that lies entirely above the x-axis would be Option 4) y = (x - 7)^2.

Hope this helps! If so, please lmk! Also, if you have any questions, feel free to comment below. Good luck!

Answer:

Step-by-step explanation:


Scalar and Matrix Multiplication

Answers

Answer:

multiply 1/2 by each element in the matrix

Step-by-step explanation:

6. 32

39 15

Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
k=______.

Answers

Answer:

5

Step-by-step explanation:

Look at one of the coordinates to find k. For this example I'll look at the y-intercepts (0, 3) (for g(x)) and (0, -2) (for f(x))

g(0) = 3

g(0) = f(0) + k

3 = -2 + k

5 = k

If p() = x2 - 1 and q(x) - 5(x-1), which expression is equivalent to (p - q)(x)?

Answers

Answer:

[tex]\text{If p(x) = x2 - 1 and q(x) = 5(x - 1), the expression which is equivalent to}[/tex] [tex]\text{ (p - q)(x) is (x2 - 1) - 5(x - 1).}[/tex]

Step-by-step explanation:

Given:

p(x) = 2x2 - 1q(x) = 3(x - 1)

To find:

(p - q)(x)

We know:

(p - q)(x) = p(x) - q(x)

Substitute

(2x^2 - 1) - 3(x - 1)

[tex]\text{Therefore, the expression equivalent to (p - q)(x) is (2x2 - 1) - 3(x - 1).}[/tex]

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