Harrison has 12 coins in quarters and nickels. He determines that they have a total value of $2.00.
a) Write a system of equations that could be used to find the number of each coin he has.

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Let the number of nickels is n, number of quarters is q.

We know that:

Nickel = 5¢, quarter = 25¢, $2 = 200¢

As per given we can set the following system:

n + q = 125n + 25q = 200

Solving this we get:

n = 5, q = 7

Related Questions

pls help with this question asap!

Answers

Answer:

ggggggggggggggggggggg

Miko filled two tanks with water. The ratio of the amount of water in Tank A to Tank B is 3 : 2. The total amount of water in both tanks is 210 ℓ. How much water must Miko pour from Tank A into Tank B so that both tanks have the same amount of water?

Answers

Step-by-step explanation:

Answer is in above picture

please help me solve this problem.

Answers

Answer:

a=36

Step-by-step explanation:

The given angles are corresponding

2a+3a=180

5a=180

a=180/5=36

can someone please help ​

Answers

Answer:

y = - 0.6x + 109

Step-by-step explanation:

The equation in linear form is

y = mx + c ← slope- intercept form

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (25, 94) and (x₂, y₂ ) = (55, 76) ← 2 ordered pairs from the table

m = [tex]\frac{76-94}{55-25}[/tex] = [tex]\frac{-18}{30}[/tex] = - 0.6

y = - 0.6x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (45, 82 ) , then

82 = - 27 + c ⇒ c = 82 + 27 = 109

y = - 0.6x + 109

the ramp measures 20 feet long and is 5 feet from the ground what is the slope of the ramp?

Answers

First we need to find how far away the base of the ladder is from what it is leaning against. The ramp is the hypotenuse and the height from the ground in a leg. Let’s use Pythagorean’s theorem.

a^2 + b^2 = c^2

Substitute

a^2 + (5)^2 = (20)^2

Solve for a^2

a^2 = (20)^2 - (5)^2

Solve for a

a = 5 √15

The slope will be rise over run

5/5 √15 = √15/15 or 0.258…

An engineer is designing a new dam for a river. The retaining wall of the dam will be angled such that the height above the ground of the top at the wall is three times the horizontal distance between where it begins and where it ends at ground level. The outer angled wall will be 100 feet long this relationship is shown in the picture along with the rest of the question.

A: x+y=100
y=3x

B: x^2 + y^2 = 100^2
y= 3x

C: x+y=100
x=3y

D: x^2 + y^2 = 100^2
x=3y

Answers

Answer:

B) x² + y² = 100²

   y = 3x

Step-by-step explanation:

The pythagorean theorem : a² + b² = c²

c² in this case is 100, and a and b are x and y

The . vertical distance is three times the horizontal, or y = 3x

The correct option is x² + y² = 100², where y = 3x

-Chetan K

solve for c.

c + 3/8 = 1 1/3

Enter your answer as a fraction in simplest form.

Answers

Answer:

Let's solve your equation step-by-step.

c+

3

8

=1

1

3

Step 1: Simplify both sides of the equation.

c+

3

8

=

4

3

Step 2: Subtract 3/8 from both sides.

c+

3

8

3

8

=

4

3

3

8

c=

23

24

Answer:

c=

23

24

solve pls brainliest

Answers

hello there! 20 square yards. the first upper half of the “L” shape garden is 8 yards (2 x 8). the lower half is 12 yards(6 x 2). hope that helped ☺️.

Answer:

Area of the garden is 20 sq. yards

Step-by-step explanation:

A = LW

(The whole figure  which is a 6 by 6) - (area of the pool) = The area of garden

                     (6 × 6) - (4 × 4)

                      36 - 16 = 20

I need help quick desperate

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

help for brainliest plz help i am stuck at thing

Answers

Answer:

= cot²A

Step-by-step explanation:

ito na po step by step explanation

[tex](1-sin^{2}A)(1+cot^{2}A) = cos^{2}A .\frac{1}{sin^{2}A } = \frac{cos^{2}A }{sin^{2}A } = (\frac{cosA}{sinA} )^{2} =cot^{2}A[/tex]

ok done. Thank to me :>

Which of the following fractions is less than 1
options: a) 1 1by4 b) 3/4 c) 5/4 d) 2 3by4

Answers

Answer:

B

Step-by-step explanation:

11/4=2.75

3/4=0.75

5/4=1.25

23/4=5.75

Answer:

3/4

Step-by-step explanation:

Proper fractions are less than 1

3/4 is proper fraction.(Numerator less than denominator)

[tex]\dfrac{5}{4}=1\dfrac{1}{4}[/tex]

185/6 helppppppppopppooooooooo meee​

Answers

Answer:

30 5/6

Step-by-step explanation:

185 = 30x6 + 5

Answer:

30 5/6

Step-by-step explanation:

goodluck guyssSana Tama yan

Write the equation of the line in fully simplified slope-intercept form

Answers

Answer:

try y = 3x + -6 it might be wrong tho

Step-by-step explanation:

slope intercept form is y = mx + b where m = the slope and b = the y intercept. the y intercept is -6 and the slope is 3/1 or 3 so just plug the numbers in

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best. Please do it quick, please do all :D

Answers

Answer:

1. C) .4

2. B) 2 1/4

3. D) 3 5/8

Step-by-step explanation:

1. The question is asking what fraction (represented in decimal form) did Maria spend. To find this, divide 18/45 because Maria spent $18 of her $45. When you complete this calculation, you get .4

2. When you look at where the line ends, it's at the first quarter line after the 2, meaning that the line is 2 and one quarter or 2 1/4

3. 8 times 3 is 24, which is the closest multiple of 8 to 29. However, since there is still 5 left over (which still needs to be divided by 8) it would be represented by the mxed fraction.

Which expression is an equivalent expression for 2(6y – 4)?
A. 8x – 2
B. 12y – 8
C. 8y
D. 12y + 4

Answers

Answer:

B.

Step-by-step explanation:

Because you have to multiply 6y by 2 that is 12y and you have to multiply -4 by 2 that is - 8, you put it together and it's 12y - 8.

B, using distribution you would multiply 2 by 6y and get 12y, then 2 by -4 and get -8

Which graph has exactly one y-intercept

Answers

Been a long time since I’ve done intercepts but I believe it is b sorry if it’s wrong

Answer:

B

Step-by-step explanation:

It touches the y-axis (one y - intercept)

It also touches the x-axis( one x-intercept)

-Chetan K

a private and a public university are located in the same city. for the private university, 1046 alumni were surveyed and 653 said that they attended at least one class reunion. for the public university, 791 out of 1327 sampled alumni claimed they have attended at least one class reunion. is the difference in the sample proportions statistically significant at the 1% level?

Answers

Using the z-distribution, it is found that since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.

At the null hypothesis, we test if the proportions are the same, that is, their subtraction is 0, hence:

[tex]H_0: p_1 - p_2 = 0[/tex]

At the alternative hypothesis, it is tested if they are different, that is, their subtraction is not 0, hence:

[tex]H_1: p_1 - p_2 \neq 0[/tex]

The proportions and their respective standard errors are given by:

[tex]p_1 = \frac{653}{1046} = 0.6343, s_1 = \sqrt{\frac{0.6343(0.3657)}{1046}} = 0.0149[/tex]

[tex]p_2 = \frac{791}{1327} = 0.5961, s_2 = \sqrt{\frac{0.5961(0.4039)}{1327}} = 0.0135[/tex]

For the distribution of the difference, the mean and the standard error are given by:

[tex]\overline{p} = p_1 - p_2 = 0.6343 - 0.5961 = 0.0382[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0149^2 + 0.0135^2} = 0.0201[/tex]

The test statistic is:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which [tex]p = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{0.0382 - 0}{0.0201}[/tex]

[tex]z = 1.9[/tex]

The critical value for a two-tailed test, as we are testing if two values are different, with a significance level of 0.01, is of [tex]|z^{\ast}| = 2.576[/tex]

Since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.

A similar problem is given at https://brainly.com/question/25728144

In health class, Baldwin is learning about making healthy food choices. For a lesson on
digestive health, his teacher asks everyone to track how much fiber they eat daily. At
breakfast, Baldwin has a banana. He also has raisin bran cereal, which contains 3.7 grams of
fiber. In all, Baldwin eats 6.8 grams of fiber at breakfast.


Use an equation to find the amount of fiber in the banana.

Answers

Answer:

There are 3.1 fibers in rhe banana

Step-by-step explanation:

6.8-3.7=3.1

Use a calculator to find log 0.0019. round answer to 2 decimal places

Answers

Answer:

Step-by-step explanation:

-2.72

The steps used to solve this are (for most calculators ) is

log

0.0019

=

If you do not own a scientific calculator, you can use the one that came from windows.

Unfortunately it is slightly different. Make sure you are in scientific mode. Type in 0.0019. Then click on log. Same answer just much longer.

An apple sells for 25 cents and a peach sells for 15 cents. A total of 10 fruits were sold for a total of $2.10. How many apples were sold?

Answers

Answer:

6 apples

Step-by-step explanation:

A = 0.25

P = 0.15

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

A + P = 10

0.25A+0.15P=2.10

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

I did this: 0.25*10 = 2.50

2.50-2.10=.40

0.25-0.15=0.10

0.40/0.10 = 4 so 4 peaches

10 fruits - 4 peaches = 6 apples

Determine a series of transformations that would map Figure O onto Figure P. ​

Answers

Answer:

OP question dude..

Step-by-step explanation:

Over Powered

Please Answer! ASAP!

Answers

Answer:

B

Step-by-step explanation:

hope this helps

PLEASE HELP ME WILL GIVE BRAINLIEST!!!!!
How do you graph the solution set to a system of linear inequalities in two variables (pretend you are the teacher and you are teaching me how to graph it)?

Answers

Answer:

Graph both of the line inequalities on the same coordinate graph, and then the overlap will be your answer.

Step-by-step explanation:

An example is attached! The purple-ish on the right would be your solution set.

Josh, Ben and Rick have 70 marbles altogether. The ratio of the number marbles Josh has to the number of marbles Rick has is 1: 2. However, Ben has 15 marbles fewer than Rick. How many marbles does Ben have?

Answers

Answer:

Ben has 19 marbles

Step-by-step explanation:

First taking that josh and ricks ratio is 1:2, this would set up in an equation as [tex]2j = r[/tex] and with ben having 15 less than rick, his formula would be [tex]r = b + 15[/tex] as well as the total of all the boys marbles together being this [tex]j+r+b=70[/tex]

Now we put all of these equations into a set to answer them.

[tex]2j = r\\ r = b + 15\\j+r+b=70[/tex]

First we solve for j

[tex]2j = r\\ j=\frac{1}{2} r[/tex]

Then substitute j

[tex]j+r+b=70\\ \frac{1}{2}r+r+b=70\\ 2b+3r=140[/tex]

Then simplify and multiply by 2 to even out

[tex]r = b + 15\\ -b+r=15\\2b+3r=140[/tex]

Now eliminate the b variable and combine equations

[tex]2b+3r=140\\-2b+2r=30[/tex]

[tex]5r=170[/tex]

Now divide and solve for r

[tex]5r=170\\r=34[/tex]

Now we know Rick has 34 marbles of the 70 marbles, so we can substitute his number back into the original equation

[tex]-b+34=15\\b=19[/tex]

Now we know Ben has 19 marbles of the remaining 36, and can substitute his number as well

[tex]j=\frac{1}{2}(34)\\j=17[/tex]

And now we know how much everyone has, to check we rewrite all the equations with their respective numbers

[tex]11+34+19=70\\2(17)=34\\34=19+15[/tex]

[tex]70=70\\34=34\\34=34[/tex]

Which means the ordered pairing of (b, j, r) is (19, 17, 34)

Find the quotient. 4/12÷4/12=​

Answers

Answer:

1

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

write the equation of the line in fully simplified slope-intercept form

Answers

Answer:

y = 3/5x+1

Step-by-step explanation:

y intercept - (0,1), so b=1

Slope = rise/run = 3/5, so m = 3/5

Our Answer is y = 3/5x+1

What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Green Cab?

Answers

Step-by-step explanation:

Red taxi : y = 2x + 2

Green taxi : y = x + 5

Y are the costs of a ride, X are the miles of a ride.

The y-intercepts are the cost of just getting into a cab.

So, that is $2 for a red cab and $5 for a green cab.

Every mile with a red cab costs $2, while every mile with a green cab costs $1.

Hope this helps :)

A fisherman has 420 crabs. He sold one tenth of the crabs for a party. Then he sold two-thirds of the remaining crabs to a restaurant. The fisherman estimates that he has 232 crabs left. How far off is the fisherman's estimate?

Answers

Answer:

The answer I'd 28464835383637533

50 point question. Please help my math grade is way to low

Answers

1/4g = 1/2h 1/2g = 1h 2h = 1g 3h = 1 1/5 g
Hope this helps + hopes this is correct

Answer:

1 1/2

Step-by-step explanation:

it takes 15 min to leak 1/8 just multiple the min to 3 hours which then you'll get 1 1/2 gallons that will leak at 3 hours

halfway between -20 and 10​

Answers

Answer:

[tex]-5[/tex]

Step-by-step explanation:

Add the two numbers and divide by 2, [tex]-20 + 10 = -10[/tex], [tex]-10 /2 = -5[/tex]

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