Isaiah has $7.15 in Dimes and Nickels. He has a total of 91 coins. How many of each coin does he have? Group of answer choices dimes: 31 nickels 60 dimes: 60 nickels: 31 dimes: 52 nickels: 39 dimes: 39 nickels: 52

Answers

Answer 1

Answer:

Dimes = x = 52

Nickels = y = 39

Step-by-step explanation:

Let

Dimes = x

Nickels = y

x + y = 91 (1)

0.10x + 0.05y = 7.15 (2)

From (1)

x = 91 - y

Substitute x = 91 - y into (2)

0.10x + 0.05y = 7.15

0.10(91 - y) + 0.05y = 7.15

9.10 - 0.10y + 0.05y = 7.15

- 0.10y + 0.05y = 7.15 - 9.10

-0.05y = -1.95

y = -1.95 / 0.05

= 39

Substitute y = 39 into (1)

x + y = 91

x + 39 = 91

x = 91 - 39

x = 52

Dimes = x = 52

Nickels = y = 39


Related Questions

у = -3х + 4
у = 3х - 2

Answers

Answer:

y =2

then u should put 2 in y = 3x -2 or y = -3x + 4

= y =3x - 2

= 2 = 3x - 2

= 2 + 2 = 3x

= 4 = 3x

=x = 4/3

Answer:Y=2


Explanation:

Morgan is a real estate agent and most recently made $12,500 on the sale of a home. Her commission she earns in selling homes is 12%. What was the sale price of the home that Morgan sold? Round to the nearest dollar amount

Answers

Answer:

$104,167 approx.

Step-by-step explanation:

Step one:

Given data

Morgan made $12,500 on the sale of a home.

Her commission she earns in selling homes is 12%

Step two:

let the cost of the home be x

So 12% of x= 12,500

12/100*x= 12,500

0.12*x=12,500

0.12x=12,500

divide both sides by 0.12

x= 12,500/0.12

x=$104,166.66

x=$104,167

Find the equation of the line.



Answers

y=3/4x -2

3/4 is the slope, which means that the line goes up 3 and to the right 4.

-2 is the y intercept, which means that the line crosses the y axis at this point.

take like 10 secs. im just not smart

Answers

Answer:

A

Step-by-step explanation:

Answer:

B.

hope it helps...........

Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

MQ = 16 units

Step-by-step explanation:

[tex]\frac{x}{14}[/tex] = [tex]\frac{9}{63}[/tex]

x = [tex]\frac{14*9}{63}[/tex] = 2

MQ = 14 + 2 = 16 units

wich number is an irrational number

Answers

The answer of this is 15

What is the slope of the graph of x-2y=8?
A:2
B:- 1/2
C:0
D:1/2

Answers

hope i helped you ahhhh

An equilateral triangle has three sides of equal length. How does the SSS Congruence Theorem apply to someone constructing equilateral triangles?

Answers

SSS Congruence Theorem apply to equilateral triangles because equilateral triangles have equal sides.

CORRECT ANSWERS ONLY

Answers

Answer:

-5x^3+8

Hope this helps

Please help I need to catch up on school.

Answers

Answer:

D: y=-2x+5

Step-by-step explanation:

Answer:

y=-2x+5

Step-by-step explanation:

The basic formula you go by for these problems is y=mx+b.

For this example, b is 5 and m is -2.

This would make the problem y=-2x+5

A block of ice weighs 12 tonne.
The block is a cube with side length 81cm.
Find the density of the ice.
Give your answer in kilograms per cubic metre.

Answers

Answer:

81 cm is 0.81 metre

12 tonne is 12000 kg

Volume of a cube is a^3

V=0.531441

D=M/V

=12000/0.531441

Density is 22580.11708 kg per m cube

Step-by-step explanation:

Solve for x.
3x-6
130
8x+4

Answers

Answer: x = 12

Step-by-step explanation:

(180 - 130) + (3x - 6) + (8x + 4) = 180

180 - 130 + 3x - 6 + 8x + 4 = 180

48 + 11x = 180

48 + 11x - 48 = 180 - 48

11x = 132

11x ÷ 11 = 132 ÷ 11

x = 12

The required value of variable "x" is 12 which is determined by the property of interior angles.

What is a Triangle?

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ.

We know that the linear pair of angles are adjacent angles the sum of their measures is 180°

Since the sum of all interior angles of the triangle = 180°

(180 - 130) + (3x - 6) + (8x + 4) = 180

180 - 130 + 3x - 6 + 8x + 4 = 180

Rearrange the terms of  variable "x" and combine them,

48 + 11x = 180

48 + 11x - 48 = 180 - 48

11x = 132

x = 132/11

x = 12

Therefore, the required value of variable "x" is 12.

Learn more about the triangles here:

https://brainly.com/question/17997149

#SPJ2

which one should choose for my career cluster finances or business ​

Answers

you should choose business

Hannah deposited the same amount of money into her savings account each month after 5 months she had $2,550 into the savings account after 8 months she had $3,300 and the savings account create an equation that models the amount a and the savings account after x months not included interest show your work ever explain how you determine your equation

Answers

Answer:

a = 250x + 1300

Step-by-step explanation:

We have pairs (5, 2550) and (8, 3300)

Find the rate of change:

(3300 - 2550)/(8 - 5) = 750/3 =250

$250 is the amount added to savings account every month

Initial amount was:

2550 - 5*250 = 2550 - 1250 =1300

Since the change is linear and we have y-intercept and slope, we can show the amount after x months as:

a = 250x + 1300

please explain how you got your answer

Write the expression as a monomial in its standard form:
25a^4*(3a^3)^2

Answers

9514 1404 393

Answer:

  [tex]225a^{10}[/tex]

Step-by-step explanation:

The rules of exponents apply:

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

__

  [tex]25a^4\cdot(3a^3)^2=25a^4\cdot3^2a^{2\cdot3}=25\cdot9a^4\cdot a^6\\\\=225a^{4+6}=\boxed{225a^{10}}[/tex]

Plz I need help with this!

Answers

Answer:

what do you mean?

Step-by-step explanation:

Find the missing side length, N. ​

Answers

Answer : 15

We know these triangles are congruent. To find the missing side, you first have to find out what the scale factor is. To do this you can just divide side QS by side AC, which would give you 2.5.
You would then multiply this scale factor by side BC, giving you side N, which is 15.

We know these triangles are congruent with the missing side, N would be equal to 15.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We know these triangles are congruent.

To find the missing side, N

ΔABC ≅ΔQRS

AC/QS = BC/RS

2/5 = 6/n

n = 6 x 5/2

n = 30/2

n = 15

Thus, the value of N is 15.

Learn more about triangles;

https://brainly.com/question/2773823

#SPJ2

Which equation in point slope form describes the line that passes through (3,-5) and has a slope of 2?

Answers

Answer:

y + 5 = 2(x - 3)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

Point (3, -5)

Slope m = 2

Step 2: Write equation

Substitute in variables into the general form.

y + 5 = 2(x - 3)

Please help fast!

the following students bought different lunch items from the menu below. use the clues to match each student with the total price they paid for their lunches, each students total was different

Answers

Answer:

I filled it in for you. Hope it helps xx

Help Help Help meeeeeeeeeeeeeee pleasee with math thank you

Answers

Answer:

b

Step-by-step explanation:

i got it right oon plato

Answer:

it should be y= 5x + 5 or y= 15x + 5

Step-by-step explanation:

I had something similar like a week ago and I am 100% its one of those

Helpppppppppppppppppppppppppp

Answers

Answer:

1.

[tex]x < - \frac{5}{13} [/tex]

2.

[tex]x \geqslant - \frac{1}{5} [/tex]

Step-by-step explanation:

[tex] - \frac{13}{16}x + \frac{3}{8} < \frac{11}{16} \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: - \frac{3}{8 } < - \frac{3}{8} }{ \frac{ - \frac{13}{16}x }{ - \frac{13}{16} } < \: \: \: \frac{ \frac { 5}{16} }{ - \frac{ 13}{16} } } \\ \\ x < \frac{ - 5}{ \: 13} [/tex]

[tex] \frac{1}{3} \geqslant \frac{2}{9} - \frac{5}{9} x \\ \frac{ - \frac{ 2}{9} \geqslant - \frac{2}{9} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{ \frac{ \: \: \: \frac{1}{9}x }{ - \frac{ 5}{9} } \geqslant \frac{ - \frac{5}{9} }{ - \frac{5}{9} } } \\ \\ x \geqslant - \frac{1}{5} [/tex]

Can someone please help me?

Answers

Answer:

yes

Step-by-step explanation:

PLS HELP ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITS RIGHT OR WRONG. SHOW PROOF.

Answers

Answer:

1,200 miles

Step-by-step explanation:

1/4 in = 100 miles

         |

There is 4/4 which makes 400 miles in 1 in.

        |

So 400*3=1,200

Maria Louisa looks at a sequence of shapes and records the number of vertices in each of the shapes in the sequence. The first shape has 7 vertices, the second shape has 13 vertices, and the third shape has 19 vertices. If Maria Louisa assumes that the number of vertices in the sequence of shapes follows the same pattern, how many vertices would she expect the 17 shape to have?

Answers

Answer:

103

Step-by-step explanation:

appears to be an arithmetic sequence question where sequence is 7, 13, 19 meaning the initial value is 7 and the common difference is 6 so we'll plug into this formula:

[tex]a_{17}[/tex] = 7 + (17 - 1) · 6

    = 7 + (16 · 6)

    = 7 + 96

'7' because that's the initial value

'6' because that the common difference

'17' because that's the position the question is asking

Which ordered pair is the solution to this system of equations?
y = r +4
x + y = 2

A. (1,5)
B. (0,2)
C. (-1,3)
D. (-4,0)

Answers

The answers is B!!!!!

Write a situation to represent the integer -17.

Answers

Answer: 12

Step-by-step explanation:

Can someone plz help me on number 4 plz

Answers

Answer: 6:5

Step-by-step explanation:

Let each little rectangle have the dimensions a by b (where a is the length and longer than b, the width). We find that l=3a because there are 3 lengths of a along l at the top of the crate and that l=4b because there are 4 lengths of b along l at the bottom of the crate. In addition, w=2b+a because there are 2 lengths of b and one length of a along w. Therefore, we can find b and a in terms of l and plug them into w=2b+a to find w in terms of l:

l=4b

b=l/4

l=3a

a=l/3

w=2b+a

w=2(l/4)+(l/3)

w=l/2+l/3

w=5l/6

If w=5l/6, l:w=l/(5l/6)=l(6/5l)=6/5

The correct answer is 6:5.

the race is 20 minutes long. aritza gets a 5 meter head start after 2 minutes she is at 10 meters what is her equation

Answers

5+2+10 is what i thibnk the answer is

The measure of each interior angle of a regular polygon is 120°. Find the number of sides.

Answers

Answer:

6

Step-by-step explanation:

You can memorize these for the smaller shapes

for equilateral polygons:

triangle: 60

square: 90

pentagon: 108

hexagon: 120

Otherwise, I believe the formula is the total degrees in a polygon (s-2)*180 where s is the number of sides.

So the measure of each angle on average would be (s-2)*180/s.

There (s-2)*180/s = 120

180(s-2) = 120s

180s-360 = 120s

60s = 360

s = 6

How to I do this problem ?

Answers

Answer:Takeyour time

Step-by-step explanation:

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