Sue has 100 dimes and quarters. If the total value of the coins is &21.40, how many of each kind of coin does she have?

Answers

Answer 1

Answer:

Let x be the number of dimes and y the number of quarters

x +y = 100

a dime is $0.10 and a quarter is $0.25

0.1x + 0.25y = 21.40 multiply by 100 to remove the decimals

10x + 25y = 2140, From the first equation y = 100 - x and plug it in to the second equation.

10x + 25(100 -x) = 2140

10x + 2500 - 25x =2140

2500 - 15x = 2140

360 = 15x x = 24 and y = 76

There are 24 dimes and 76 quarters

Answer 2

Answer:

76 Quarters = $19.00

24 Dimes = $2.40

$19.00 + $2.40 = $21.40

Step-by-step explanation:

Yaga


Related Questions

V is themidpoint of UW. If UV = x + 8 and VW = 9x, what is VW?

Answers

Answer:

x=1

Step-by-step explanation:

If V is the midpoint of the line UW, that would mean that there's an equal distance between UV and 9x. So, the value of UV and VW would eed to be the same.

x+8=9x

8=8x

x=1

I need help on math true and false please

Answers

Answer:

Step-by-step explanation:

1. False

2. False

3. True

4. True

5. True

6. True

7. True

8. True

9. True

10. False

7 1/2 divided by 2 1/2

Answers

Answer:

3

Step-by-step explanation:

a pupil who scored 60 in her maths exam was absent and missed English exam use the line of best fit to predict what her English mark could be ​

Answers

Answer:

It's 48.

Hope that helped? Also, if you need anymore answers feel free to ask me as I had that assignment on Mathswatch.

Step-by-step explanation:

Answer:

i think it's 48 if i'm wrong i'm sorry

Harry has $10 in his bank account, and he adds $2 every week. based on this information, which representation best shows the relationship between the amount of money harry has in his bank account ,y, and the number of weeks that have passed, x? (im testing....)

Answers

Answer:

y= (2x)+10

Step-by-step explanation:

if harry has an initial balance of $10 in his bank account, he will have something +10 for the initial 10.

If he adds $2 to his bank account every week, then the amount of money in his bank account (y) can be modeled by the equation

y = (2x)+10

where y represents how much money he has in his bank account and x represents the amount of weeks he is adding $2.

The answer is y= ( 10-2=)

Rick's Phone Service charges $12.52 for an activation fee plus $6 for every gigabyte (g) used.

Which of the following graphs models the situation?

(Please, help me I will do everything I can to boost you.. It's been a rough night of homework.)

Answers

Answer:

d

Step-by-step explanation:

same explanation as before just replace the current values with the previous explanation

Answer:

After a quick stint of attempting to read the graphs I would speculate D

Solve for x&y using substitution but do it step by step

Answers

Answer:

x +2y = 2 ...... 1

7x + 10y = 2 ..... 2

x = 2 - 2y ..... 3

substitute 3 in 2

7(2 - 2y) + 10y = 2

14 - 14y + 10y = 2

14 - 4y = 2

- 4y = 2 - 14

- 4y = - 12

divide by - 4 on both sides

y = 3

substitute the value of y in 3

× = 2 - 2(3)

x = - 4

(x ; y )

(- 4 ; 3)

Use the order of operations to simplify 4(3.5 - 1.5) - 1/2.

a. 19 1/2
b. 7 1/2
c. 12
d. -4

Answers

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathbf{4(3.5 - 1.5) - \dfrac{1}{2}}\\\\\mathbf{\rightarrow 4(2) - \dfrac{1}{2}}\\\\\mathbf{\rightarrow 8 - \dfrac{1}{2}}\\\\\mathbf{\rightarrow \dfrac{15}{2} \approx 7.5 \approx \boxed{\bf 7 \dfrac{1}{2}}}\\\\\\\\\huge\boxed{\textbf{Therefore, your answer is: \boxed{\mathsf{Option \ B. \ 7 \dfrac{1}{2}}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\frak{\bf Amphitrite1040:)}[/tex]

[tex]\huge \bf {Question}:—[/tex]

[tex] \boxed{\bf \: 4(3.5 - 1.5) - 1/2}[/tex]

[tex]\bf\huge Solution:—[/tex]

[tex] \sf \longmapsto \: 4*(3.5-1.5)-1/2[/tex]

[tex] \boxed{\bf \: Convert \: 1/2 \: i nto \: Decimal:—}[/tex]

[tex]\sf \longmapsto \: 4*(3.5-1.5)-0.5[/tex]

[tex] \boxed{\bf \: Subtract \: 3.5-1.5 :—\: (2 \: is \: the \: result)}[/tex]

[tex]\sf \longmapsto \: 4*(2) - 0.5[/tex]

[tex] \boxed{\bf Multiply \: 4 \: and \: 2:—(8 \: is \: the \: result)}[/tex]

[tex]\sf \longmapsto8-0.5[/tex]

[tex] \boxed{\bf \: Simply \: Subtract:—}[/tex]

[tex]\sf \longmapsto7.5[/tex]

[tex]\boxed{\bf Convert \: to \: Fraction, \: And \: Fraction\:to\:Mixed \:Fraction:—}[/tex]

[tex]\sf\longmapsto 15/2[/tex]

[tex] \boxed{\bf \: Mixed \: Fraction:—}[/tex]

[tex]\boxed{\sf\longmapsto 7 \dfrac{1}{2} }[/tex]

________________________________

[tex]\boxed{\bf Solving \: in \: another \: way:—}[/tex]

[tex]\sf \longmapsto4*2-1/2[/tex]

[tex]\sf \longmapsto4*(2)-1/2[/tex]

[tex]\sf \longmapsto8-1/2[/tex]

[tex]\sf \longmapsto \: 15/2[/tex]

[tex] \boxed{\bf \: Mixed \: Fraction:—}[/tex]

[tex]\boxed{\sf \longmapsto \: 7 \dfrac{1}{2} }[/tex]

________________________________

[tex] \boxed{\bf \: \: Answer \: i s \: Option \: B}[/tex]

[tex] \boxed{\huge\sf \: (B) \: \bf \: 7\dfrac{1}{2}} [/tex]

Solve for x: x /6−y/3= 1
SHOW WORK

Answers

[tex]\dfrac x6 - \dfrac y3 =1\\\\\\\implies \dfrac x6 - \dfrac{2y}6 = 1\\\\\\\implies \dfrac{x-2y}6 =1\\\\\\\implies x -2y =6\\\\\\\implies x =6+2y\\\\\\\implies x = 2(3 +y)[/tex]

A hybrid car can go 400 miles on 8 gallons of gas. How far can the car take you with 1 gallon of gas?

Answers

Answer:

50 miles

Step-by-step explanation:

Take the number of miles and divide by the number of gallons

400 miles / 8 gallons

50 miles per gallon

Answer:

50 miles

Step-by-step explanation:

if for each 8 gallons it can go to 400 miles

so the 8 will be divided to 8 and get 1

and also divide the 400 into 8 you will get 50 miles per 1 gallon

5. The combined perimeter of a circle and a square is 16. Find the dimensions of the circle and square

that produce a minimum total area.

Answers

The dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively

Represent the side length of the square with s, and the radius of the circle with r.

So, the perimeter (P) and the area (A) of the shape are:

[tex]P =4s + 2\pi r[/tex]

[tex]A =s^2 + \pi r^2[/tex]

The perimeter is 16. So, we have:

[tex]4s + 2\pi r = 16[/tex]

Divide through by 4

[tex]s + 0.5\pi r = 4[/tex]

Make s the subject

[tex]s = 4 - 0.5\pi r[/tex]

Substitute [tex]s = 4 - 0.5\pi r[/tex] in [tex]A =s^2 + \pi r^2[/tex]

[tex]A = (4 - 0.5\pi r )^2 + \pi r^2[/tex]

Expand

[tex]A = 16 - 4\pi r + 0.25(\pi r)^2 + \pi r^2[/tex]

This gives

[tex]A = 16 - 4\pi r + (0.25\pi^2 + \pi )r^2[/tex]

Differentiate with respect to r

[tex]A' = 0 - 4\pi + 2(0.25\pi^2 + \pi )r[/tex]

[tex]A' = - 4\pi + 2(0.25\pi^2 + \pi )r[/tex]

Set to 0

[tex]- 4\pi + 2(0.25\pi^2 + \pi )r =0[/tex]

Add 4pi to both sides

[tex]2(0.25\pi^2 + \pi )r =4\pi[/tex]

Divide both sides by 2

[tex](0.25\pi^2 + \pi )r =2\pi[/tex]

Make r the subject

[tex]r =\frac{2\pi}{(0.25\pi^2 + \pi )}\\[/tex]

Factor out pi

[tex]r =\frac{2\pi}{\pi(0.25\pi + 1 )}[/tex]

Cancel out the common factors

[tex]r =\frac{2}{0.25\pi + 1 }[/tex]

Express pi as 3.14

[tex]r =\frac{2}{0.25\times 3.14 + 1 }[/tex]

[tex]r =\frac{2}{1.785}[/tex]

Divide

[tex]r =1.12[/tex]

Recall that:

[tex]s = 4 - 0.5\pi r[/tex]

This gives

[tex]s =4 -0.5 \times \pi \times 1.12[/tex]

This gives

[tex]s =4 -0.5 \times 3.14 \times 1.12[/tex]

[tex]s =2.24[/tex]

Hence, the dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively

Read more about minimum areas at:

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Image attached giving 25 points please help

Answers

Irrational is the answer

(100 points will award brainliest)

In the image below, the m

Answers

Answer: 67°.

Step-by-step explanation:

1) m∠PMR=m∠LMN=3x+19°;

2) m∠LMN+m∠LMP=180°, it can be written as 3x+19+9x-31=180;

3) if to solve the equation 3x+19+9x-31=180, then x=16;

4) m∠PMR=3x+19=48+19=67°.

M is equivalent to (9x-31)

Pls help as soon as possible thank you

Answers

Answer:

D

Step-by-step explanation:

F(g) falls between 0 and 49.58

which inequality matches the graph?

A. x>4
B. x<4
C. x=4
D. x >4​

Answers

Answer:

B

Step-by-step explanation:

The line goes left which means its going to be less than 4.

Answer:

[B] x < 4

Step-by-step explanation:

First you must know the following:

> ⇒ greater than

< ⇒ less than

≥ ⇒ greater than or equal to

≤ ⇒ less than or equal to

= ⇒ equal

When going to the left it means less than

Thus, we can conclude that

x < 4

Kavinsky

A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021

Answers

The sum of the given series can be found by simplification of the number

of terms in the series.

A is approximately 2020.022

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

[tex]\displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}[/tex]

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

[tex]\displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}[/tex]

Therefore, for the last term we have;

[tex]\displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}[/tex]

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

[tex]\displaystyle \frac{A}{2} = \mathbf{ 1011 \cdot \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460} \right)}[/tex]

[tex]\displaystyle \frac{A}{2} = 1011 \cdot \left(1 - \frac{1}{2} +\frac{1}{2} - \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022} \right)[/tex]

Which gives;

[tex]\displaystyle \frac{A}{2} = 1011 \cdot \left(1 - \frac{1}{2022} \right)[/tex]

[tex]\displaystyle A = 2 \times 1011 \cdot \left(1 - \frac{1}{2022} \right) = \frac{1032231}{511} \approx \mathbf{2020.022}[/tex]

A ≈ 2020.022

Learn more about the sum of a series here:

https://brainly.com/question/190295

A is equal to 1,685.00049.

Given that A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021, the following calculation must be performed to determine the result of this operation:

337/2 = 168.5 1011/10 = 101.1 337/5 = 67.4 1/2021 = 0.00049  1011 + 337 + 168.5 + 101.1 + 67.4 + 0.00049 = A 1685.00049 = A

Therefore, A is equal to 1,685.00049.

Learn more about maths in https://brainly.com/question/25273534

If [tex]x^{2} + y^{2} = 6[/tex] and [tex]x + y = \sqrt{7}[/tex], then what is [tex]x-y[/tex]?

Answers

Recall that

(x + y)² = x² + 2xy + y²

Then if x + y = √7 and x² + y² = 6, we have

(√7)² = 6 + 2xy   ⇒   2xy = 1

We also have

(x - y)² = x² - 2xy + y²

so that

(x - y)² = 6 - 1   ⇒   (x - y)² = 5

which means x - y has two possible values, √5 or -√5.

A birthday cake was cut into equal pieces, and 10 pieces were eaten. The
fraction below shows how much cake was left over. According to the fraction,
into how many pieces was the cake cut?
1
11
A. 1
B. 10
C. 21
D. 11

Answers

assuming the fraction is 1/11, the denominator shows how many parts the WHOLE was sliced into, namely 11 parts.

Is 6.32332333... a rational or irrational number? a Choose the correct answer below. O rational number O irrational number​

Answers

Answer:

Irrational number because it cannot be written in fraction form a/b where b is not supposed to be 0

Solve the following compound inequality: 4 less-than-or-equal-to x + 4 less-than-or-equal-to 12. a. 0 less-than-or-equal-to x less-than-or-equal-to 8 c. 8 less-than-or-equal-to x less-than-or-equal-to 16 b. x less-than-or-equal-to 8 d. no solution Please select the best answer from the choices provided A B C D

Answers

Answer:

A. 0 <= x <= 8

Step-by-step explanation:

4 <= x + 4 <= 12

Remove 4 from all sides

4 - 4 <= x + 4 -4 <= 12 - 4

0 <= x <= 8

guys pls ı need help really....

Answers

Answer:

Step-by-step explanation:

Calculus....finally something FUN to answer!

This is integration, but here you have the area under the curve, you just don't have the upper bound. Setting that problem up looks like this:

[tex]28=\int\limits^b_1 {7x} \, dx[/tex]  and using the First Fundamental Theorem of Calculus, that will integrate to look like this:

[tex]28=\frac{7x^2}{2}[/tex] from 1 to b and applying the FTC:

[tex]28=\frac{7b^2}{2}-\frac{7}{2}[/tex]  Multiplying everything by 2 to get rid of the denominators gives you:

[tex]56=7b^2-7\\\\56=7(b^2-1)\\8=b^2-1\\9=b^2\\b=3[/tex]

?/5 =8/10 type the missing number that makes this fraction equal

Answers

Answer:

[tex]?=4[/tex]

Step-by-step explanation:

[tex]\frac{?}{5}=\frac{8}{10}[/tex]

[tex]\frac{2?}{10}=\frac{8}{10}[/tex]

[tex]2?=8[/tex]

[tex]?=4[/tex]

The dean of a business college in the Midwest claims that he can correctly identify whether a student is a finance major or a music industry management major by the way the student dresses. Suppose in actuality that he can correctly identify finance majors 84% of the time, while 16% of the time he mistakenly identifies a music industry management major as a finance major. Presented with one student and asked to identify the major of this student (who is either a finance or music industry management major), the dean considers this to be a hypothesis test with the null hypothesis being that the student is a finance major and the alternative that the student is a music industry management major. Which of the following statements illustrates a Type I error?

a. Saying that the student is a finance major when in fact the student is a music industry management major.
b. Saying that the student is a music industry management major when in fact the student is a music industry management major.
c. Saying that the student is a finance major when in fact the student is a finance major.
d. Saying that the student is a music industry management major when in fact the student is a finance major.

Answers

Using error concepts, it is found that the option that represents a Type I error is:

d. Saying that the student is a music industry management major when in fact the student is a finance major.

The definitions of each type of error are as follows:

A Type I error happens when a true null hypothesis is rejected. A Type II error happens when a false null hypothesis is not-rejected.

In this problem, the Hypothesis are:

Null: Student is a finance major.Alternative: Student is a music industry management major.

By the definition of a Type I error, in this problem, it would consist in saying that a finance major student is a music industry management major student, hence option d is correct.

You can learn more about Type I and II errors at https://brainly.com/question/25225353

John Marlow's total income last year was $31,300. Of that amount, he spent
$7,900 for food. What percent of Jon's total income did he spend for food? *
25%
40%
50%
85%

Answers

Based on the information given the  percent of Jon's total income did he spend for food is 25%.

Using this formula

Percent of total income=Amount spent for food/Total income last year

Where:

Amount spent for food=$7,900

Total income last year=$31,300

Let plug in the formula

Percent of total income=$7,900/$31,300

Percent of total income=25%

Inconclusion the  percent of Jon's total income did he spend for food is 25%.

Learn more about total income here:https://brainly.com/question/842469

The normal price of a television is reduced by 30% in a sale. The sale price of the television is £350 Work out the normal price of the television?​

Answers

Answer:

$245

Step-by-step explanation:

0.7 * 350 = 245

The normal price of the television, if The normal price of a television is reduced by 30% in a sale, The sale price of the television is £350, is £500.

What is the sale price?

The price at which something sells or is purchased following a price reduction. The cost that something is sold for. In other words, the price at which something is sold to a customer is called the sale price

Given:

The normal price of a television is reduced by 30% in a sale,

The sale price of the television is £350,

Write the equation of the above statement as shown below,

Normal price - 30% of normal price = Sale price

Substitute the value,

Normal price(1 - 0.30) = £350  

Normal price = 350 / 0.7

Normal price = £500

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#SPJ2

(3v^5-34v^4+79v^3+5v^2+21v+19)\(v-8)

Answers

Answer:

3 big guys

Step-by-step explanation:

Answer:

Step-by-step explanation:

we find by synthetic division.

v-8=0

v=8

8 |  3  -34   79   5   21   19

  |  -     24  -80 -8  -24 -24

  |----------------------------------

     3   -10    -1   -3    -3  |-5

Quotient:-3v^4-10v³-v²-3v-3

Remainder:- -5

HELP ILL MARK BRAINLIEST ANSWER THIS QUESTION IN THE PIC

Answers

Your answer should be…

Median: outdoor group, 7
Mean: outdoor, 7 (rounded up 6.93)
Larger: outdoor group

I think these are right, good luck!

Show all work to solve 2x2 +7x - 4 = 0

Answers

Heyy!!

2x2 + 7x - 4 = 0

4x + 7x - 4 = 0

11x - 4 = 0

11x = 4

x = 4/11

ANSWER: x = 4/11

Write five demicals that round to 0.96?

Answers

Answer:

0.964

0.959

0.961

0.958

0.963

Step-by-step explanation:

Anything below 5 can be rounded down, anything above 5 can be rounded up.

You can have a decimal after 0.96 to be less than 5, or a decimal after 0.95 to be greater than 5.

Here's some I picked:

0.964

0.959

0.961

0.958

0.963

Apply Euclid algorithm to find HCF of number 4052 and 420​

Answers

Answer:

ANSWER 4

Step-by-step explanation:

the hcf is 420 and then u say 2x2=4 simple

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