The swamp middle school basketball team purchased new equipment and uniforms. The total cost of the equipment was $245 and each uniform cost $21. If the total cost of their purchase was $518, how many uniforms did they buy? Create an equation for this situation.

Answer: x=25

Step-by-step explanation:

Simplifying

(2x + -10) = (65 + -1x)

Reorder the terms:

(-10 + 2x) = (65 + -1x)

Remove parenthesis around (-10 + 2x)

-10 + 2x = (65 + -1x)

Remove parenthesis around (65 + -1x)

-10 + 2x = 65 + -1x

Solving

-10 + 2x = 65 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.

-10 + 2x + x = 65 + -1x + x

Combine like terms: 2x + x = 3x

-10 + 3x = 65 + -1x + x

Combine like terms: -1x + x = 0

-10 + 3x = 65 + 0

-10 + 3x = 65

Add '10' to each side of the equation.

-10 + 10 + 3x = 65 + 10

Combine like terms: -10 + 10 = 0

0 + 3x = 65 + 10

3x = 65 + 10

Combine like terms: 65 + 10 = 75

3x = 75

Divide each side by '3'.

x = 25

Simplifying

x = 25

Sorry if its too confusing!

Answer:

El ángulo entre el piso y la escalera está cambiando a una razón de -1 radian por segundo.

Step-by-step explanation:

Sea [tex]x[/tex] la distancia horizontal entre la pared y la base de la escalera y [tex]l[/tex] la longitud de la escalera, medidas en metros. Además, tenemos que [tex]\theta[/tex] es el ángulo entre la escalera y el piso, medido en radianes.

Si la pared y el piso son ortogonales entre sí, entonces podemos utilizar la siguiente relación trigonométrica que relaciona las variables anteriores:

[tex]\cos \theta = \frac{x}{l}[/tex]  (1)

Por diferenciación implícita y la definición de razón de cambio tenemos que:

[tex]-\sin \theta \,\dot \theta = \frac{\dot x}{l}[/tex] (2)

Donde:

[tex]\dot x[/tex] - Razón de cambio de la distancia horizontal entre la pared y la base de la escalera, medida en metros por segundo.

[tex]\dot \theta[/tex] - Razón de cambio del ángulo entre el piso y la escalera, medida en radianes por segundo.

Pero tenemos que el seno del ángulo está definido por:

[tex]\sin \theta = \frac{\sqrt{l^{2}-x^{2}}}{l}[/tex] (3)

Si aplicamos (3) en (2), expandimos la ecuación como sigue:

[tex]-\frac{\sqrt{l^{2}-x^{2}}}{l}\,\dot \theta = \frac{\dot x}{l}[/tex]

[tex]\dot \theta = - \frac{\dot x}{\sqrt{l^{2}-x^{2}}}[/tex] (4)

Si tenemos que [tex]\dot x = 5\,\frac{m}{s}[/tex], [tex]l = 13\,m[/tex] y [tex]x = 12\,m[/tex], entonces la razón de cambio del ángulo es:

[tex]\dot \theta = -\frac{\left(5\,\frac{m}{s} \right)}{\sqrt{(13\,m)^{2}-(12\,m)^{2}}}[/tex]

[tex]\dot \theta \approx -1\,\frac{rad}{s}[/tex]

El ángulo entre el piso y la escalera está cambiando a una razón de -1 radian por segundo.

Answer:

x = 0

Step by step explanation:

g ( x ) = 2x + 3

If x = 0,

g ( 0 ) = 2 (0) + 3

or, g ( 0 ) = 3

Hope that helped :)

Answer:

8618 is correct,

give the person above me brainliest.

ED2021

The reasonable price of the car after 4 years will be $8618.

Regression analysis is a group of statistical procedures used in statistical modelling to determine the associations between a dependent variable and one or more independent variables.

Given that a dealership tracks the correlation between the age of its used cars and asking price for a car. The regression line is y = 12,338 – 930x, where x is the age of the car, in years.

The price of the car after 4 years will be calculated as follows:-

y = 12338 - 930x

y = 12338 - ( 930 x 4 )

y = 12338 - 3720

y = $8618

Therefore, the reasonable price of the car after 4 years will be $8618.

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Answer:

1 73/132

Step-by-step explanation:

GCF of 4, 11 and 3 is 132.

Convert the fractions and add!

Answer:

Learning of Galileo’s imprisonment

Step-by-step explanation:

I just went over this last week and i am 100% sure that this is correct

Answer:

No, it is not proportional

Step-by-step explanation:

Answer:

D. 1

Step-by-step explanation:

Distribute the -1

5x - 4x +1 = 2

1x = 1

x=1

Step-by-step explanation:

1°.2°.3°.4°.5°.6°.7°.8°.9°.10°.11°.12°.13°.14°.15°.16°.17°.18°.19°.20°.

Answer:

No.

Step-by-step explanation:

A linear equation simplified should become y=mx+b.

Answer:

We know that C(T) is a function where you input the time T, and the output will be the student's Monday class.

a) A student has English at 10:00.

Here we can use T = 10:00 as the input, and the output will be the class, English.

Then this can represent this with:

C(10:00) = English.

b) Write a statement to describe the meaning of C(11:15) = chemistry.

for C(11:15) = Chemistry

The input, the time, is 11:15

The output, the class, is chemistry.

The student has a chemistry class at 11:15

Answer:

bruh

Step-by-step explanation:

42

Answer:

y=1/2x+4

Step-by-step explanation:

Answer:

y=2x+4

Step-by-step explanation:

Answer:

135 miles

Step-by-step explanation:

45 mph means if you steadily go 45 mph for an hour you will have traveled 45 miles. Therefore you multiply your speed by time (45*3) which gives you 135 miles.

Answer:

It takes 10 weeks to spend each $500

Step-by-step explanation:

If he spend $50 each week on groceries, we can say that he spend $100 on groceries every two weeks

To make it to 500 dollars we would have to use the equation 100x5.

This equals to 500

We could also do 100 plus 100 plus 100 plus 100 plus 100.

Answer:

340 cars on her wall

( Brainlyst will help my rank, thanks! <3 )

The point that represents the quotient [tex]\frac{3 - i}{i}[/tex] is (C)

The quotient is given as:

[tex]Quotient = \frac{3 - i}{i}[/tex]

Rationalize the expression

[tex]Quotient = \frac{3 - i}{i} \times \frac ii[/tex]

Expand the above expression

[tex]Quotient = \frac{3i - i^2}{i^2}[/tex]

Evaluate all exponents

[tex]Quotient = \frac{3i - (-1)}{-1}[/tex]

Remove bracket

[tex]Quotient = \frac{3i +1}{-1}[/tex]

Rewrite the above expression as follows:

[tex]Quotient = -3i -1[/tex]

Further, rewrite as:

[tex]Quotient = -1-3i[/tex]

In the above expression, the real part is -1, and the imaginary part is -3.

This point is represented by point C, because:

[tex]C = (-1,-3)[/tex]

Hence, the point that represents the quotient [tex]\frac{3 - i}{i}[/tex] is (C)

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Answer:

400

Step-by-step explanation:

240/60=4, meaning 4 people per every percentage. Which when 4 is multiplied by 100, you get 400=100%

Answer:

400

Step-by-step explanation:

60/100  =  240/?

Bat and Ball ( when do proportional table make a x like shape between/through each number. The number going diagainal multiplies, number next to number is used to divide the product of the diagainal numbers.)

240 x 100 = 24,000

24,000 divided 60 = 400

400 were survreyed

Answer:

- 8n + 9

Step-by-step explanation:

A - B

= - 3n + 2 - (5n - 7) ← distribute by - 1

= - 3n + 2 - 5n + 7 ← collect like terms

= - 8n + 9 → or 9 - 8n

Answer:

b

Step-by-step explanation:

If the sum of 1 and 3 times a number is 22, then x=7 is the solution and graph that represents the number

Two or more expressions with an Equal sign is called as Equation.

Given,

The sum of 1 and 3 times a number is 22.

Let the unknown number be x

1+3x=22

Now subtract 1 from both the sides

1+3x-1=22-1

3x=21

Divide both sides by 3

x=7

So the solution of sentence sum of 1 and 3 times a number is 22 is 7.

x=7 is the equation of graph that represents the number

Hence x=7 is the equation of graph that represents the number

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Step-by-step explanation:

Step one:

we are given the equation for Addy And Rachel's earning as

[tex]D =0.45p[/tex]-------------1

Step two:

Context creation

Say john earns $0.9  per paper he delivers, estimate how much he would earn to deliver 10 papers

let the amount earn be y and the number of papers delivered be x

the equation is

y=0.9x

for x=10

y=0.9(10)

y=$9

We can see that John's unit rate is more than Addy's unit rate

Answer:

16

Step-by-step explanation:

f(x)=3x^(2)+2x,g(x)=5x-12, find f(2)= 16

Answer:

A is correct, the one you selected

Step-by-step explanation:

Answer:

A is the correct option

Step-by-step explanation:

sorry im a bit late lol

:)

Answer:

34

Step-by-step explanation:

8/2 = 4

6 times 5 = 30

30 + 4 = 34

Answer:

if a figure has ten vertices then it is a star

Answer:

The solution to the system of the equations will be:

[tex]x=3,\:y=1[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]x+y=4[/tex]

[tex]x-y=2[/tex]

solving the system of the equations

[tex]\begin{bmatrix}x+y=4\\ x-y=2\end{bmatrix}[/tex]

[tex]x-y=2[/tex]

[tex]-[/tex]

[tex]\underline{x+y=4}[/tex]

[tex]-2y=-2[/tex]

solving

[tex]-2y=-2[/tex]

Divide both sides by -2

[tex]\frac{-2y}{-2}=\frac{-2}{-2}[/tex]

[tex]y=1[/tex]

[tex]\mathrm{For\:}x+y=4\mathrm{\:plug\:in\:}y=1[/tex]

[tex]x+1=4[/tex]

[tex]x=3[/tex]

Therefore, the solution to the system of the equations will be:

[tex]x=3,\:y=1[/tex]

Answer:

Should have paid attention in class

Step-by-step explanation:

But the answer is

Answer:

Function B

Step-by-step explanation:

✍️Rate of change for Function A:

Using any two pairs from the table of values given, say, (0, 1) and (4, 2):

Rate of change = [tex] \frac{y_2 - y_1}{x_2 -x_1} = \frac{2 - 1}{4 - 0} = \frac{1}{4} [/tex]

Rate of change for function A = ¼ = 0.25

✍️Rate of change for Function B:

Equation for Function B is given in the slope-intercept format, y = mx + b.

m = slope = rate of change.

Therefore, the function, y = 0.75x - 2 has a rate of change of 0.75.

Rate of change of Function B = 0.75.

✅0.75 if greater than 0.25, therefore, Function B has the greater rate of change.

The function which has a greater rate of change or slope is required.

Function B has a greater rate of change.

Rate of change is given by

[tex]m=\dfrac{\Delta y}{\Delta x}[/tex]

The ordered pairs for the first function are

[tex](0,1),(4,2),(8,3),(12,4)[/tex]

Slope

[tex]m=\dfrac{2-1}{4-0}=\dfrac{1}{4}=0.25[/tex]

Since, it is a linear equation the slope will be equal for all ordered pairs.

The point slope form of a line is

[tex]y=mx+c[/tex]

where

m = Slope or rate of change

c = y intercept

Here, the equation is

[tex]y=0.75x-2[/tex]

The slope is 0.75.

Function B has a greater rate of change.

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Answer:

6+x

Step-by-step explanation:

I used photo math have a great thanksgiving