Nevaeh has $0.80 worth of nickels and dimes. She has a total of 11 nickels and dimes altogether. Graphically solve a system of equations in order to determine the number of nickels, x,x, and the number of dimes, y,y, that Nevaeh has.

Answers

Answer 1

Answer: We can set up a system of equations to represent this problem. The first equation represents the total value of the nickels and dimes in terms of the number of nickels and dimes that Nevaeh has:

0.05x + 0.1y = 0.80

The second equation represents the total number of nickels and dimes that Nevaeh has in terms of the number of nickels and dimes that she has:

x + y = 11

To graphically solve this system of equations, we can use the slope-intercept form of the linear equations.

y = -2x + 22

y = -1/2 x + 8

The solution would be the point where the lines intersect , which x = 4, and y = 7 .

So she has 4 nickels, and 7 dimes.

Step-by-step explanation:


Related Questions

Identify the quotient and the remainder

(24x^3 - 14x^2 + 20x +6)÷(4x^2 - 3x +5)

Answers

The quotient is (6x + 1) and the remainder is (-7x + 1).

What is a factor of a polynomial?

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given A cubic polynomial 24x³ - 14x² + 20x + 6 divided by 4x² - 3x + 5.

So, (24x³ - 14x² + 20x + 6)/(4x² - 3x + 5).

= (4x² - 3x + 5)(6x + 1) + (-7x + 1)/(4x² - 3x + 5) in rhe form N = DQ + R.

The same applies to the division of polynomials.

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Verena sleeps from 11 p.m. until 9a.m. What fraction of a day does Verena sleep? *​

Answers

5/12 is the answer!!

find the perimeter of a figure​

Answers

Answer:

27.72

Step-by-step explanation:

Just sum up all the sides together

i will give Brainiest if you are right

Answers

Answer:

19.5º

Step-by-step explanation:

Every triangle is equal to 180º for all angles. So, you add 33.5 + 127 and subtract the sum by 180.

33.5 + 127= 160.5

180- 160.5 = 19.5

So, the angle F is 19.5º

Hope this helps !!

-Ketifa

Answer:

look at the picture I sent

Kade has $45 in savings and wants to purchase a video game console for $250. He has a coupon for 10% off, and sales tax is 8.25%. In order to be financially responsible, Kade wants to wait until he has enough in savings to not have to borrow money. If Kade is able to save $45 each week, what is the minimum amount of weeks Kade should save before making his purchase?

Answers

Answer:5 weeks

Step-by-step explanation:

Lupe wrote two different fractions with the same denominator. both fractions were less than 1. can their sum equal? can their sum be greater than 1?

Answers

Answer: it depends on the number you took

Step-by-step explanation:

You are eating in a restaurant and have only $20 in your pocket. You are required to tip the service staff 18%. How much money can you spend on food?

Answers

$16.04 hope this helps;)

A car rental company charges a daily fee of $12.95 on all rental cars.
What is the cost for 3 days?
A
$25.90
B
$36.75
С
$38.85
D
$45.23

Answers

Answer:

C

Step-by-step explanation:

Sorry if I’m wrong but I think I’m right

Answer:

answer is C

Step-by-step explanation:

it's just 12.95 times 3

Please help! Ubehebe crater in death Valley has a diameter of a little more than 1/2 a mile. If Latisha walks around its rim at a rate of 2 mph, about how long will it take her to walk all the way around the crater? Round your answer to the nearest tenth. Use 3.14 for pi.

Answers

The time required for Latisha to walk around the rim at a rate of 2 mph is 0.235 hours.

What is speed?

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

here,
Ubehebe crater in Death Valley has a diameter of a little more than 1/2 a mile.
Circumference of the rim,
= πD

= 3.14 × 1/2
= 1.57 mile

Time = Distance/speed
Time = 1.57 / 2
Time = 0.785 hours

Thus, the time required for Latisha to walk around the rim at a rate of 2 mph is 0.235 hours.

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If a student deposits $1,500 in the bank and earns an annual interest rate of 8%,
how much will he have after 15 years? (Hint: y = ab)

Answers

1800

Explanation: 1= P x r x t


P is the principal amount, $1500.00.
r is the interest rate, 8% per year, or in decimal form, 8/100=0.08.
t is the time involved, 15....year(s) time periods.
So, t is 15....year time periods.


find the simple interest, we multiply 1500 × 0.08 × 15 to get that
Answer:  $4758.25

===================================================

Work Shown:

a = 1500 = deposit amountb = 1.08 = represents an increase of 8% since 100% + 8% = 1+0.08 = 1.08

The equation y = a*b^x updates to y = 1500*(1.08)^x

Plug x = 15 into the equation to find out how much money you have after 15 years.

y = 1500*(1.08)^x

y = 1500*(1.08)^15

y = 1500*(3.17216911419828)

y = 4758.25367129741

y = 4758.25

Don't forget to round to the nearest cent.

Use a net to find the surface area of the cereal box

Answers

Answer:

206

Step-by-step explanation:

A=2(wl+hl+hw)

HELP! Will give branliest!!!

Answers

Answer:

the answer is seven units

Consider whether it's wrong or right.​

Answers

The solution to the equations are

0 ∈ N is False               7/2 ∈ Q is True

√16 ∈ Q' is False          π ∈ Q' is True

3/2 ∈ I is False              -3 ∈  R is True

0 ∈ I is True                  -1 ∈ I⁺ is False

( 1 - 3 ) ∈ N is False       8/2 ∈ I is True

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be represented as A

Now , the equation will be

a)

Let the number be A = 0

The number 0 is a whole number , rational number and an integer

0 is not a natural number

So , the equation is False

b)

Let the number be A = √16

The value of A = 4

The number 4 is a natural number , whole number , rational number and an integer

4 is not an irrational number

So , the equation is False

c)

Let the number be A = 3/2

The number 3/2 is a rational number

3/2 is not an integer

So , the equation is False

d)

Let the number be A = 0

The number 0 is a whole number , rational number and an integer

0 is an integer

So , the equation is True

e)

Let the number be A =  ( 1 - 3 )

The value of A = -2

The number -2 is a rational number and an integer

-2 is not a natural number

So , the equation is False

f)

Let the number be A = 7/2

The number 7/2 is a rational number

7/2 is a rational number

So , the equation is True

g)

Let the number be A = π

The number π  is an irrational number

π is an irrational number

So , the equation is True

h)

Let the number be A = -3

The number -3 is a real number

7/2 is a real number

So , the equation is True

i)

Let the number be A = -1

The number -1 is an integer and real number

-1 is a negative integer

So , the equation is False

j)

Let the number be A = 8/2

The value of A = 4

The number 4 is a natural , whole , integer and rational number

4 is an integer

So , the equation is True

Hence , the equations are solved

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Identify the basic shapes in the figure:)

Answers

Answer:

Rectangle and triangle

solve the equation a^2x^2 = abx + 2b^2 using completing the square method​

Answers

The solution to the equation is

x = b/a ± √(b^2/a^2) / a.

What is the equation?

Generally, To solve the equation using the completing the square method, we first move all the terms to one side of the equation by subtracting abx and 2b² from both sides, giving us:

a²x² = abx + 2b²

Which is

a²x² - abx - 2b² = 0

Next, we need to add and subtract a term so that the left side of the equation can be written as a perfect square.

We need to find the square of half of the coefficient of the x term, which is -ab/2a.

So we add and subtract (ab/2a)^2 = (b^2/a^2) on the left side of the equation:

a²x² - abx - 2b² + (b²/a²) - (b²/a²) = 0

This gives us the left side of the equation as

(ax - b/a)² = b²/a².

We can then take the square root of both sides:

ax - b/a = ±√(b²/a²)

Finally, we can add b/a to both sides to get the solution:

x = b/a ± √(b²/a²) / a

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If you invest $20,500 in an account yielding 4.95% interest compounded semi-annually. How much will be in the account after 10 years?

Answers

Answer: 33428.15.

Step-by-step explanation:

Answer:

In 10 years you would have saved $33,428.15.

Explanation:

A=P (1+ r/n)^nt

A = The final amount

P = The intial principal balance: $20,500

R = The interest rate: 4.95%

N = The number of times interest is applied per period: Semi annually (1.5)

T= The time periods elapsed: 10 years

A = 20,500 (1+4.95/1.5)^(1.5•10)


Solutions to quadratic equation 4x^2+5x+1=0

Answers

The answer is x=-1/4,-1

HELP ME PLEASE!!! This is my last day

Answers

Answer:

B : 91.25,  V: 365 B:12.25,  V: 42.875 B:28.4,  V: 142B:32.2,  V: 293.02

Find the surface area of the prism

Answers

Answer:

Step-by-step explanation:

surface area=4×(4×2)+2×(4×4)=32+32=64 m²

need help asap!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 1/b^5 (D)

Step-by-step explanation:

Is this a UTHS course I'm seeing?

Last one, 1/b^5 is the correct choice

A population of 2 rabbits grows at the rate of 400% every two months. How many
rabbits are in the population after 1 year?

Answers

Answer:

50 rabbits

Step-by-step explanation:

?/2  =    400/100

multiply 2 by 400

2 times 400 = 800

now, divide it by 100

800/100 = 8

every two months = 8 rabits

12 months in a year

12/ 2 equals 6

6 times 8 = 48

+the two begining rabbits

= 50 total rabbits

24is 40% of what number? Use the percent eqation.

Answers

Answer:

60

Step-by-step explanation:

40%=0.40

0.4x=24

x=24/0.4

x=60

If
f
(
x
)
=
2
x
4

3
x
+
3
f(x)=2x
4
−3x+3, then what is the remainder when
f
(
x
)
f(x) is divided by
x

1
x−1?

Answers

x

1

x−1?x

)

=

2

x

4

3

x

+

3

f(x)=2x

4

−3x+3, then what is the remainder when

f

(

x

)

f(x) is divided by

x

1

x−1?

Help need answer will give brainliest

Answers

I swear by the app mathaway it helped me pass math. Download it and you’d be done with all your math assignments fast.

32 is 32% of what?????

Answers

Answer:

32 is 32% of 100

Step-by-step explanation:

Answer: 100

Step-by-step explanation: 32 is 32% of 100

witch equation is made true by the opposite angles theorem ​

Answers

The option D is correct.Because this equation holds the vertically opposite angle theorem.

What is vertically opposite angle theorem?

Vertically Opposite Angles are holds when two lines intersect each other then the opposite angles formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other.

How do you find opposite angles?

Vertical opposite angles that are opposite each other when two lines cross are also known as vertical angles because the two angles share the same corner. Opposite angles are also congruent angles.The equation of a vertical line is given by x = a or x = -a

Now we find

According to vertical opposite angle

x-8=40-2x

x+2x=40+8

3x=48

x=16

We can find value of x by usng vertical opposite angle.

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d. Describe the relationship between the 9s in Ithaca's average annual rainfall?

Answers

Precipitation (inches), 2.08, 1.98, 2.64, 3.29; Snowfall (inches), 17.6, 14.2, 11.7, 3.4; The Ithaca Climate Page.

What is the relationship between the patterns in rainfall and temperature?Increased evaporation as a result of rising average temperatures at the Earth's surface leads to more precipitation overall. As a result, many places might expect more precipitation as a result of a hotter environment.Moving from the equator toward the poles results in less precipitation. Because temperature impacts how much moisture air can contain, precipitation often decreases with increasing latitude, with higher precipitation typically occurring at lower latitudes.There is a larger than 28% chance of rain on any given day during the wetter season, which lasts for 6.4 months from April 2 to October 14.June is the month in Ithaca with the most rainy days, with an average of 11.3 days with at least 0.04 inches of precipitation. From October 14 to April 2, the dry season lasts 5.6 months.

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Order the equations in the order they would cross the y axis (lowest 1 highest 4).

y=7x

y=-0.5x-5

y=4x-12

y=-4x+10

Answers

Answer:

y=4x-12, y=-0.5x-5, y=7x, y=-4x+10

Step-by-step explanation:

The last value is the y intercept in slope intercept equations. If there is nothing other than mx, then the y intercept is 0

Find the product write the product as a mixed number

Answers

Answer:

[tex] \frac{9}{10} \times 54 = \frac{9 \times 54}{10} = \frac{486}{10} = 48 \frac{6}{10} = \frac{243}{5} [/tex]

A rectangular tennis court has a length of 24 m and a width of 11m what is the length of the diagonal court explain how you worked out your answer

Answers

The length of the diagonal of the rectangular tennis court is given as follows:

26.4 meters.

How to obtain the length of the diagonal?

The tennis court is rectangular, meaning that the diagonal is the hypotenuse of a right triangle, in which the sides are the length and the width.

Applying the Pythagorean Theorem, the diagonal length can be obtained as follows:

d² = 24² + 11²

d² = 697

[tex]d = \sqrt{697}[/tex]

d = 26.4 m.

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