The dollar store buys a hat for $0.80. Then they mark up the price by 20%.
How much will they sell the hat for?

Answer:

x =5, y = 4

Step-by-step explanation:

3x + 4y = 31..... (1)

2x - 4y = -6..... (2)

Adding equations (1) & (2)

[tex]3x + \cancel{4y} = 31 \\2x - \cancel{4y} = -6\\ - - - - - - - \\ 5x = 25 \\ x = \frac{25}{5} \\ \bold{ \purple{x = 5}} \\ plug \: x = 5 \: in \: eq \: (1) \\ 3(5) + 4y = 31 \\ 15 + 4y = 31 \\ 4y = 31 - 15 \\ 4y = 16 \\ y = \frac{16}{4} \\ \bold{ \red{y = 4}}[/tex]

Answer:

1 shirt costs $11.2 1 hat costs $10.

Step-by-step explanation:

35 divided by 3

20 divided by 2

Answer:

1.66666666667

Step-by-step explanation:

I have to find the scale factor of the side lengths. This would be 1.66666666667. Why? The side lengths for triangle 1 are: 40 and 50. Triangle 2's side lengths: 24 and 30. Match the lengths, and divide. 50 divided by 30=1.66666666667, and 40 divided by 24=1.66666666667, Hope this helped!

Answer:

5.06 years or 60.75 months

Step-by-step explanation:

Compound interest formula:

[tex]AV=PV(1+\frac{i}{n})^{n*t}\\4045=3355(1+\frac{.037}{12})^{12t}\\1.025=(1.003)^{12t}\\log1.025_{1.003}=12t\\60.75=12t\\5.062[/tex]

5.06 years or 60.75 months

It will take Andrew  5 years to accumulate $4045 by investing $3355 in an account that earns 3.7% annually, compounded monthly.

percentage, a relative value indicating hundredth parts of any quantity.

We can use the formula for compound interest to solve this problem:

[tex]A = P(1 + r/n)^(^n^t^)[/tex]

where:

A is the amount of money at the end of the investment period

P is the principal amount (initial investment)

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the time (in years) of the investment period

In this case, we want to solve for t. We know that:

P = $3355

r = 0.037 (3.7% as a decimal)

n = 12 (compounded monthly)

A = $4045

Substituting these values into the formula, we get:

[tex]4045 = $3355(1 + 0.037/12)^(^1^2^t^)[/tex]

ln(1.206) = 12t ln(1 + 0.037/12)

ln(1.206) = 12t ln(1 + 0.0031)

ln(1.206) = 12t ln(1.0031)

0.187=12t 0.0031

0.187=0.0372t

t=5.02

Therefore, it will take Andrew approximately 5 years to accumulate $4045 by investing $3355 in an account that earns 3.7% annually, compounded monthly.

To learn more on Percentage click:

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Answer:

No solution

Step-by-step explanation:

The easiest approach here is to divide the second equation by 2:  x + 2y = -4.

Comparing the first equation with this result, we see that the the two lines never intersect, and thus that there is no solution.

Answer:

Length of rectangle = 51 cm

Width of rectangle = 24 cm

Step-by-step explanation:

Given:

Perimeter of rectangle = 150 cm

Find:

Length and width of the rectangle

Computation:

Assume;

Width of rectangle = a cm

Length of rectangle = 2a + 3 cm

Perimeter of rectangle = 2[l + b]

150 = 2[(2a + 3) + a]

2[3a + 3] = 150

6a + 6 = 150

6a = 144

a = 24

Width of rectangle = 24 cm

Length of rectangle = 2a + 3 cm

Length of rectangle = 2(24) + 3 cm

Length of rectangle = 51 cm

x^2 - x - 6= 0

(x - 3) ( x + 2) = 0

Equating

x - 3 = 0

x = 3

x+ 2= 0

x = -2

Answer: x - 6

Step-by-step explanation:

Answer:

Multiply  34  by 3  

102x

Answer:

Car M:

50.4/2 = 25.2

car M uses up 1 gallon every 25.2 miles

Car P:

Just from the graph, you can see that it uses up 1 gallon every 30 miles

The two graphs vary the /miles slightly but it is around their zones of 25.2 and 30. It varies slightly because the cars may be traveling at a fast speed or slower speed thus using up more or less fuel by the time they've reached the recorded distances on the graphs.

Answer:

Step-by-step explanation:

Answer:

9%

Step-by-step explanation:

Given :

Principal, P = 400

Time, t = 4 months = 4/12 = 0.33333

Simple interest = 12

Simple interest = (principal * rate * time)

Rate = r

12 = (400 * r * 0.33333)

12 = 133.3333r

r = 12 / 133.3333

r = 0.090000

r = 0.09

rate = 0.09 * 100% = 9%

Answer:

No, they are not equivalent.

Step-by-step explanation:

j + j + j + j = 4j

j^4

Let's say j = 2

4j = 8

j^4 = 16

Answer:

NO

Step-by-step explanation:

j+j+j+j

remember multiplication is repeated addition!

j+j+j+j = 4j

THIS IS DIFFERENT! powers are repeated MULTIPLICATION.

j^4 = j to the power of 4 = j * j * j * j, NOT j+j+j+j !!!!!

Answer:

x= -1 and 5

hope that helps

The solutions to the quadratic equation [tex]4(x+2)^2=36[/tex] are x = -5 and x = 1.

Given the following data:

In this exercise, you're required to determine the value of x by solving for the factors (roots) of the given quadratic equation.

In Mathematics, the standard form of a quadratic equation is given by;

[tex]ax^2 + bx + c =0[/tex]

Where:

Dividing both sides by 4, we have:

[tex]4(x+2)^2=36\\\\(x+2)^2=9[/tex]

Taking the square root of both sides, we have:

[tex]x+2=\pm3\\\\x=\pm 3-2[/tex]

x = -5 or 1.

Read more on quadratic equation here: brainly.com/question/1214333

Answer:

45 and 13…......

Step-by-step explanation:

devide

Answer: Big rectangle shades 1/4+1/2

Step-by-step explanation:

So have a Big

Answer:

A

Step-by-step explanation:

A line of best fit is a line that gives an estimate of where the line would be, therefore it is close to most of the data points.

Answer:

A)

Step-by-step explanation:

Answer:

Each litters can be represented as; x and y respectively to the 7% and the 28%

x + y =1

7x + 28y =19.6

This a simultaneous equation and can either be solved by using elimination or substitution method

Using the substitution method

eqn1, x=1-y

putting into eqn2

7(1-y)+28y =19.6

7-7y+28y=19.6

21y=12.6

y=3/5

but x=1-y

so

x=1-3/5

x=2/5

Answer:

27.0 feet

Step-by-step explanation:

Length of an arc (s) = 2πrθ/360................. Equation 1

Where r = radius of the circle, θ  = angle in degree substends by the arc at the center of the circle.

From the question,

Given: r = 9 feet, θ = 3 radian = 3 (57.2950) = 171.89°

Constant: π = 3.14

Substitute these values into equation 1

s = 2(3.14)(9)(171.89)/360

s = 9715.2228/360

s = 26.99 feet

s ≈ 27.0 feet

Answer:

864

Step-by-step explanation:

To find the area of a shape, you have to multiply length times width.

Answer:

72 ft. sq.

Step-by-step explanation:

The way to look at it it to multiply length times width ( l x w )

there are 2 obvious  numbers to get the answer, which is 8 and 9 so 8 x 9 = 72

Answer:

x=-1

Step-by-step explanation:

Hello there!

The information we are given:

We are told that the distance from point a to c is x + 10

We are told that the distance from a to b is 5

we are also told that the distance from b to c is 2x+6

Because from point A to B and B to C is inside the total of A to C we can add the two together and create a equation to solve for x

so the sum of the two parts 5 + 2x + 6

*combine like terms*

11 + 2x

is equal to the total distance (x+10)

now we solve for x

11 + 2x = x + 10

step 1 subtract x from each side by

2x - x =  x

x -x cancels out

now we have 11 + x = 10

step 2 subtract 11 from each side

11-11 cancels out

10 - 11 = -1

we're left with x = -1

Now lets plug in x and see if A to C is equal to A to B + B to C

(-1) + 10 = 5 + 2(-1) + 6

10 - 1= 9

2*-1=-2

6-2=4

4+5=9

9=9

which is true so we can conclude that x = -1

Answer:

B.) Yes; it can be rotated 180° or less and match the original figure.

Step-by-step explanation:

You have to trust me its b I did the quiz on Pearson Conexus. I would show a picture but I'm on pc and don't know how to .

My answer will help.

Anyways, have a great day/night !! <3

Step-by-step explanation:

Does the figure below have rotational symmetry? Explain.

A.)Yes; it can be rotated 360° or less and match the original figure.

B.)Yes; it can be rotated 180° or less and match the original figure.

C.)No; it does not match the original figure after any rotation of 180° or less.

D.)No; it does not match the original figure after any rotation of 360° or less.

Answer:Just add them all

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

First you have to find the percentage of pan crust to all the other crusts to do this you add all the crusts together:

397+220+167+196 = 980

Then divide 196 by 980:

196/980 = .2 or 20%

Then multiply 400 by 20%

400*20% = 80

Answer:

k = 4

Step-by-step explanation:

11 - 7 = 4

Answer:

Step-by-step explanation:

65,115,115

Answer:

Hey I have the answer in a link

Look down For link!

Cmon half way there

jkjk

First part (tip amount)

$6.26

Second part (Total bill)

$41.04

Step-by-step explanation:

Well to find the percentage of a number, convert the percent into a decimal which is basically moving the decimal place 2 places to the left. THen you multiply that amount by the original number an din this case you would get 6.2604. You round that to the nearest penny (or hundreths) and you;d get $6.26. Thats the first part

The second part is simple, you add the tip with the total bill and you would get $41.04.

Answer:

hi

Step-by-step explanation:

i think so

hope it helps

have a nice day

Answer:

35

Step-by-step explanation:

subtract highest and lowest numbers

Answer: It is a polynomial, and the degree is 4.

Step-by-step explanation:  The degree is basically the biggest number exponent

Step-by-step explanation:

x xndndjjdjdjdowiekeie

Answer:

I'm guessing it's 4 i think but sorry if it's wrong

Step-by-step explanation: