1. Jack and Betty have 40 coins that are nickels and dimes. If the value of
the coins is $3.15, how many of each type of coin do they have?

Answers

Answer 1

Answer:

Number of nickels = 17

Number of dimes = 23

Step-by-step explanation:

Let

x = number of nickels

y = number of dimes

x + y = 40 (1)

0.05x + 0.10y = 3.15 (2)

From (1)

x = 40 - y

Substitute x = 40 - y into (2)

0.05x + 0.10y = 3.15 (2)

0.05(40 - y) + 0.10y = 3.15

2 - 0.05y + 0.10y = 3.15

- 0.05y + 0.10y = 3.15 - 2

0.05y = 1.15

y = 1.15/0.05

y = 23

Substitute y = 23 into (1)

x + y = 40 (1)

x + 23 = 40

x = 40 - 23

x = 17

Number of nickels = 17

Number of dimes = 23


Related Questions

Pls helppp due soon!!

Answers

Answer:

I think the answer is B

Step-by-step explanation:

Sorry if it's wrong

Answer: i think its b

Step-by-step explanation:

HELP I WILL GIVE YOU BRAINLIEST

Question: What is the solution to this quadratic?

Answers

(5,0) if it’s asking the solution or do you want the equation? Technically the solution would be where the parabola touched the x axis

I think it is 5 because it crosses on the x axis at 5

Quadrilateral ABCD is rotated 90° clockwise about the origin. What are the
coordinates of quadrilateral A'B'C'D?
A(-5,5) BC-1,5 DA
C(412)
DC51)
C
B
O
A. A'(5,-5), B' (1, -5), C'(1,-2),
D'(5, -1)
O B. A'(5,5), B'(5,1), C' (2, 1), D' (1,5)
O c. A'(5,5), B' (1,5), C' (1,2). D'(5, 1)
O D. A'(-5, -5), B'(-5, -1), C'(-2, -1),

Answers

A.A’(5,-5),B’(1,-5),C’(1,-2)

The coordinates of quadrilateral A'B'C'D are; A. A’(5,-5),B’(1,-5),C’(1,-2)

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

We are given that Quadrilateral ABCD is rotated 90° clockwise about the origin.

A(-5,5) B (1,5 ) C(4, 12) D (5, 1)

Consider the point be having coordinates (x,y).

If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

The coordinates of quadrilateral A'B'C'D are follows as;

A’(5,-5),B’(1,-5),C’(1,-2)

So, the correct option is A

Learn more about quadrilateral;

https://brainly.com/question/13805601

#SPJ2

Can u help me with my work don’t send a link !!!

Answers

Answer:

1. no

2. yes

3. no

Step-by-step explanation:

i hope this helps :)

A recipe for biscuits calls for 1 cups
of flour. How much flour would be
needed if the recipe is tripled?
A 4 1/2 cups
B 3 cups
D 6 cups

Answers

Answer:

A

Step-by-step explanation:

1 1/2 × 3 = 4 1/2

.........

Which description represents the absolute value of-5?

I have tired and I do not think I got it right .help plssss?

Answers

Answer:

the distance bettwen 0 and -5 on a number line

Step-by-step explanation:

Answer:

A. the distance between 0 and -5 on a number line

Step-by-step explanation:

The absolute value is the positive form of an integer. In this case it would be 5. I believe the answer is A because the distance between 0 and -5 on a number line is 5.

solve the triangle a=? b=7m c=10m

Answers

Answer:

[tex]\sqrt{149}[/tex]

Step-by-step explanation:

The third side of a triangle can be any value in the range of -

1 ≤ a < 17.

What is a triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane

Given are two sides of a triangle as b = 7m and c = 10m.

The sum of two sides of a triangle is always greater than the third side. Mathematically -

a < {b + c}

a < {7 + 10}

a < 17

a ∈ [1, 16]

Therefore, the third side of a triangle can be any value in the range of -

1 ≤ a < 17.

To solve more questions on triangles, visit the link below -

https://brainly.com/question/12538366

#SPJ2

In the kite picture above, find all the missing measures.

M<1=
M<2=
M<3=

Answers

Answer:

90

51

39

Step-by-step explanation:

hope this helps u have a great day

Answer:

opposite angles are ≈ diagonals of a kite are ⊥

∠1=90°

∠2=51°

∠3= 90°-51°=39°

∠3=39°

[tex]----------\\hope ~ it ~ helps\\\\have ~ a ~ great~ day.[/tex]

Please help! I will give branliest!

Answers

Answer:

1.  1/2

2. 1/4

3. 1/4

4.) A store is having a sale in which all items are marked 30% off.
4a.) Which equation represents the selling price, s, in dollars, of an item originally
priced p dollars after a markdown of 30%?
a.) s=0.3p
b.) s=0.7p
c.) p=0.35
d.) p=0.75

Answers

Answer:

0.70p

Step-by-step explanation:

"30% off" means paying only 70% of the original sales price (subtracting 30% from 100% yields 70%).  Next, find the decimal equivalent of 70%:

It is 0.70.  Finally, multiply the price p by 0.70:  0.70p (Answer b)

Answer:

d

Step-by-step explanation:

what are the pair of solutions?

1) Determine if the side lengths could form a
triangle. Use an inequality to prove your
answer.
29ft, 38ft, 9ft

Answers

9514 1404 393

Answer:

  cannot form a triangle

Step-by-step explanation:

The triangle inequality requires the sum of the shorter sides exceed the longest one.

  9 + 29 > 38

  38 > 38 . . . . . . . . FALSE — not a triangle

What is the area of the figure?
18 yd2
54 yd?
72 yd?
90 yd?

Answers

Answer:

72yd2

Step-by-step explanation:

making figure into 2

1st figure

= 6×5

= 30yd^2

2nd figure

= 14×3

= 42yd^2

Area of the full figure

= (30+42)yd^2

= 72yd^2

PLZZZ MARK ME AS BRAINLIEST:)

Mrs. Smith charges $30 per hour for tutoring
services plus a one time fee of $10 for supplies.
How many tutoring sessions can a student attend
if the parent will spend, at most, $2,500?

Answers

Answer:

62.5

Step-by-step explanation:

$30 per hour + one time fee of $10= 40$ in total.

[tex] \frac{2500}{40} = 62.5[/tex]

Answer:

83 hours of tutoring, I think.

Step-by-step explanation:

If there is a total of 2,500 dollars to spend, you have to subtract the 10 dollar fee from it first to get 2,490 dollars. Then, you divide that by 30 dollars to get the total amount of hours which is 83.

Marcus baked a loaf of banana bread for a party. He cut the loaf into equal size pieces. At the end of the party, there were 6 pieces left. If Marcus told you that 1 4 of the loaf was left, how can you find the number of pieces that were in the whole loaf? Complete the explanation. The denominator in 1 4 is , so I will draw circles to show the equal parts. Since pieces are 1 4 of the loaf, I will draw counters in each circle. By multiplying the number of equal parts by the number of counters in each equal part, I know that there were equal size pieces in the whole loaf.

Answers

Answer:

6*4 = 24

Step-by-step explanation:

Hopefully that helps, and you can write fractions as x/y.

Answer:

6×3 because 6 is one third of the whole loaf and 6×3 are 18.

Step-by-step explanation:

Help me pleaseeee right now please

Answers

Answer:

x   |   y

-2  | -5

-1   | -3

0   |  -1

1    |   1

2   |  3

3   |  5

The pattern is as x increases by 1, y increases by 2.

Step-by-step explanation:

Richie is solving the equation x^2 – 12x = 28 by completing the square. What number should he add to
both sides of the equation to complete the square? Pleaseee Help

Answers

Answer:

Richie should add the number 36 to both sides.

Step-by-step explanation:

To complete the square, you need to divide b by 2, square it, then add it to both sides. In this case, you'd do this:

12/2=6

6^2=36

Find the perimeter of a square with an area of 702.25 square yards
A)26.5 yards
B)106 yards
C)175.56 yards

Answers

Answer:

P=106

Step-by-step explanation:

A=a2

P=4a

Solving forP

P=4A=4·702.25=106

Answer:

C

Step-by-step explanation:

702.25 / 4 = 175.5625

Round 175.5625 to 175.56

(sorry if this is confusign)

Please anwser fast thank you!

Answers

Have you tried looking the answer up?

Help me with this please

Answers

Answer: (6,4)

10 + 2 / 2 = 6

-1 + (-7) / 2 = -4

Answer:

Step-by-step explanation:

the mid point formula is   Midpoint = (x1+x2)/2 , (y1+y2)/2

I know that probably looks like a jumbled mess huh .. the formula

In words it's basically saying.. get the distance between the two points and take half of that

S = (10, -1)   where it takes the form of (x1,y1)

T = (2, -7 )  where it takes the form of (x2,y2)

then midpoint = (10+2) / 2 , (-1+(-7)) /2 ]

midpoint =  12/2 , -8/2

midpoint = ( 6 , -4 )

Please help!!!!! Due Today in a couple hours!!!!!

Answers

Answer:

select them all. all is correct

Step-by-step explanation:

Answer:

All of them

Step-by-step explanation:

Jennifer is 25 years younger than her father. Twice his age, added to her age equals 104 years. How old are they?Include/Show all of the necessary step

Answers

Answer:

43- Father   18-Jennifer

Step-by-step explanation:

x:her father's age

x-25: her age

2x+x-25=104

3x=104+25

3x=129

x=129/3

x=43 year old

=> x-25=43-25=18 year old

Answer: Think her dad's age is 52 and jennifers age is 27

Step-by-step explanation:

104/2=52 dad

52-25=27 jennifer

43 lbs of bananas cost $86. How many
lbs of bananas can you get with $100 ?
will get brainliest

Answers

Answer:

$200

Step-by-step explanation:

Hey There!

So first we want to find the price of each pound of banana

To do this we divide the cost by amount of bananas bought

86/43=2

so each pound of bananas cost $2

now we just multiply 2 and 100

2x100=200

so 100 pounds of bananas would cost $200

hope this helps :)

Answer:

50

Step-by-step explanation:

Calculate how much 1lbs of bananas cost by dividing 86 by 43. getting you 2. That means each lbs of bananas is $2. Then divide $100 by $2 getting you 50 because you have $100. So you can get 50lbs of bananas with $100.

it costs $5.25 for a bottle of 150 vitamins. if the cost varies directly with the number vitamins in the bottle, what should a bottle of 250 vitamins cost?

Answers

Answer:

$8.75

Step-by-step explanation:

I HOPE THIS HELPS YOU OUT WITH YOUR QUESTION! PLZ LET ME KNOW IF IT DID! IT MAKES ME FEEL GOOD THAT SOMEONE APPRECIATES IT! ANYWAY, IF YOU HAVE A FEW MINUTES PLZ GOT TO MY PROFILE AND THANK MY ANSWERS (THE MORE THE MERRIER)

yeah it would be 8.75

Which of the following graphs represents the equation
2x + y = 12?

Answers

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

need help asap hdudhshhshsdb​

Answers

It should be $961.43. If you multiply 125.99x6 that would get you to $755.94 then add 75.50 which gets you to $831.44 then add the 129.99 which gives you $961.43 in total. Hope that helped.

A, B & C lie on a straight line. D, C & E lie on a different straight line.Angle y = 102° and angle Z = 57°.Work out x, explaining each stage of your working in the comment box.

Answers

Answer:

lefjiiofrioropr

Step-by-step explanation:

The exterior of a triangle is the sum of two of its interior angles except the one adjacent to it. The angle x is evaluated as 135°.

What is a triangle?

A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

Given that,

There is a triangle shown in the figure with following angles,

∠y = 102°  and ∠Z = 57°.

Angle x is the exterior angle of the given triangle. Use the property of exterior angle to get,

∠x  = ∠B + ∠Z

     = (180° - y) + 57°

     = (180° - 102°) + 57°

     = 135°

Hence, the angle x has been worked out as ∠x = 135°.

To know more about triangle click on,

https://brainly.com/question/2773823

#SPJ2

Staples sells 5 packs of paper for $7.80. How much would 3 packs cost? help

Answers

divide $7.80 by 3
gives you $2.6

click on me for the picture

Answers

Answer:

67 degrees

Step-by-step explanation:

A straight line is 180 degrees so subtract 113 from 180 to get the answer of 67 degrees.

Answer:

what he said

Step-by-step explanation:

Write a quadratic function for the graph
shown below in the form
f(x) = (x - h)? +k.

Answers

Where's the graph ? I will answer once I see the graph

Write an equation of a line that passes through the point (8,4) and is parallel to the line y = 4x + 2.

Answers

Answer:

y=4x-28

Step-by-step explanation:

slope is 4

y-4=4(x-8)

y-4=4x-32

y=4x-32+4

y=4x-28

the slopes of parallel lines are equal

Other Questions
why can many ecosystems exit in one biome? Write an equivalent expression toshow the relationship betweenmultiplication and addition,3x5 Why does the United States have to import 19 minerals from other countries? For Tyler's lemonade recipe, 2 lemons are required to make 10 cups of lemonade. At what rate are lemons being used in cups of lemonade per lemon? why is school so D E P R E S S I N G In order to know how a force will affect an object, you must know the _______________.inertiaweightdirectiongravity What is an Hawley smoot tariff effects? hello, may someone help me on this plz how are organisms classified into domains? Please help me with the math problem!!!! A triangle has angle measurements of 72, 32, and 76. What kind of triangle is it?acuterightobtuse Define the following :-self-concept -self motivation -volunteer -self-image -Adolescents Cuban universities are turning out well -educated graduates who are ready to be productive in the workforce.Which factor of production is being described? .A . Natural resourcesB.Capital goodsC.EntrepreneurshipD.Human capital What is the name of the big hole in the ground in Northern Arizona pls i need help with this math question what is 17 - 12 me box plots below compare the heights or the gins and the boys the seventh grade at HelzorMiddle SchoolBoys' HeightsGifs HeightsHEHEHE30 4070Heights (inches)which statement is true based on the information in the box plots above?F. The boys' heights have a center height about 10 inches larger than the gets heights.The boys' heights have a larger spread than the girls heights.The whiskers on the box plot of the inte heights are more varied in length than the whiskers onthe box plot of the boys heights.At least one boy and one gitare 72 inches tall ( -5/3 ) exponent 2 = ? 6. How did the government adjust to the mass exodus to suburbs? Help extra points please ! What is the perimeter of the isosceles triangle shown below? If necessary, round to the nearest hundredth.