The total cost of a suit and a coat is
$291. The coat cost twice as much as
the suit. How much did the coat cost?​

Answers

Answer 1

The coat costs $194 while the suit costs $97

Answer 2

To find out how much the coat costs when a suit and a coat together cost $291 and the coat costs twice as much as the suit, we use algebra to deduce that the suit costs $97 and the coat costs $194.

To solve the problem of determining how much the coat costs when the total cost of a coat and a suit is $291, and the coat costs twice as much as the suit, we can set up a system of equations. Let's define s as the cost of the suit and c as the cost of the coat. Following the given information, we have two equations:

s + c = $291 (the total cost of the suit and the coat)c = 2s (the coat costs twice as much as the suit)

Substituting the second equation into the first one gives us:

s + 2s = $291

Combining like terms, we get:

3s = $291

Dividing both sides by 3 to solve for s, we find:

s = $97

Now that we have the cost of the suit, we can use the second equation to find the cost of the coat:

c = 2s = 2 times $97 = $194

Therefore, the coat costs $194.


Related Questions

Please need help
Find area of shaded region.
Round to the nearest tenth

Answers

Answer:

818.4 in²

Step-by-step explanation:

The area (A) of the shaded region is

A = area of circle - ( area of white sector + area of triangle )

  = ( π × 27.8²) - (π × 27.8² × [tex]\frac{210}{360}[/tex] +(0.5 × 27.8 ×27.8 × sin150°)

  = 2427.95 - (1416.30 + 193.21 )

  = 2427.95 - 1609.51 ≈ 818.4 in²

 

 

what the hell is a rotation?

Answers

Answer:

A rotation is when a shape rotates across the x or y axis on a coordinate plane :)

Step-by-step explanation:

In exercises 18 and 19 determine which solution if any is an extraneous solution 18.sprt(3x-2)=x; x=1,x=2. 19. Sprt(x+6=x; x=3,x=-2

Answers

ANSWER

18. No extraneous solution.

19. The extraneous solution is x=-2

EXPLANATION

18. The given radical equation is:

[tex] \sqrt{3x - 2} = x[/tex]

Solving this radical equation yields

[tex]x=1,x=2[/tex]

We check for an extraneous solution by substituting each value into the equation.

Checking for x=1,

[tex] \sqrt{3 \times 1 - 2} = 1[/tex]

[tex]\sqrt{3- 2} = 1[/tex]

[tex]\sqrt{1} = 1[/tex]

[tex]1 = 1[/tex]

This is true.

Checking for x=2

[tex]\sqrt{3 \times 2- 2} = 2[/tex]

[tex]\sqrt{6- 2} = 2[/tex]

[tex]\sqrt{4} = 2[/tex]

[tex]2 = 2[/tex]

This is also true. Hence there is no extraneous solution.

19. The given radical equation is:

[tex] \sqrt{x + 6} = x[/tex]

Solving this equation yields,

[tex]x=3,x=-2[/tex]

Checking for x=3,.

[tex]\sqrt{3+ 6} = 3[/tex]

[tex] \sqrt{9} = 3[/tex]

3=3.

This is a true solution.

Checking for x=-2.

[tex]\sqrt{ - 2 + 6} = - 2[/tex]

[tex] \sqrt{4} = - 2[/tex]

[tex]2 \ne - 2[/tex]

Hence x=-2 is an extraneous solution.

erza has a square brick patio. he wants to reduce the width by 4 feet and increase the length by 4 feet.

let x represent the length of one side of the square patio. write expressions for the length and width of the new patio. then find the area of the new patio if the original patio measures 9 feet by 9 feet.

Answers

Answer:

Area of new patio = 65 ft^2.

Step-by-step explanation:

For the new patio:

Width = x-4 feet

Length = x+4 feet.

Given that x = 9, the new patio has dimensions 9-4 and 9+4 = 5 by 13 feet and its area = 5*13 =  65 ft^2.

The area of the new square brick patio is 65 ft².

Given that, the original patio measures 9 feet by 9 feet.

What is the formula to find the area of a square?

The formula to find the area of a square is a².

Where, a=side.

Now, for the new patio:

Width = x-4 feet and Length = x+4 feet.

Given that x = 9, the new patio has dimensions 9-4=5 and 9+4 = 13 feet and its area = 5*13 =  65 ft².

Therefore, the area of the new patio is 65 ft².

To learn more about the area of a square visit:

https://brainly.com/question/1603804.

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what is the square root of m to the power of 6​

Answers

Step-by-step explanation:

[tex]\sqrt{m^6}=\sqrt{m^{3\cdot2}}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt{(m^3)^2}\qquad\text{use}\ \sqrt{a^2}=|a|\\\\=|m^3|\\\\\text{if}\ m\geq0,\ \text{then}\ \sqrt{m^6}=m^3\\\\\text{if}\ m<0,\ \text{then}\ \sqrt{m^6}=-m^3[/tex]

The graph below plots the values of y for different values of x:

Plot the ordered pairs 1, 8 and 2, 3 and 3, 0 and 4, 1 and 5, 2 and 6, 1

What is the correlation coefficient for the data plotted?

−0.9
−0.6
0.6
0.9

Answers

Answer:

-0.6

Step-by-step explanation:

we know that

The correlation coefficient is a measure of the strength of the straight-line or linear relationship between two variables. Correlation coefficients are expressed as values between +1 and -1

we have

(1,8),(2,3),(3,0),(4,1),(5,2),(6,1)

using a Excel tool (CORREL function)

see the attached table

The correlation coefficient is -0.68

Answer:

X Values

∑ = 21

Mean = 3.5

∑(X - Mx)2 = SSx = 17.5

Y Values

∑ = 15

Mean = 2.5

∑(Y - My)2 = SSy = 41.5

X and Y Combined

N = 6

∑(X - Mx)(Y - My) = -18.5

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -18.5 / √((17.5)(41.5)) = -0.6865

Meta Numerics (cross-check)

r = -0.6865

which matrix is equal to [-6,-6.5,1.7,2,-8.5,19.3]

Answers

Answer:

Bruh its D.

Step-by-step explanation:

D has the exact same values as the original matrix.

Answer:

[tex]\large\boxed{\left[\begin{array}{ccc}-6&-6.5&1.7\\2&-8.5&19.3\end{array}\right]}[/tex]

Step-by-step explanation:

Equal matrices are identical. We have the same numbers in the same places. Therefore, the matrix equal to a given matrix is ​​the same matrix.

math help ^^ will give 10 points ^-^

Answers

Answer:

C

Step-by-step explanation:

Arc length is:

s = 2πr (θ/360)

Given θ = 80° and r = 7 ft:

s = 2π (7 ft) (80 / 360)

s = 1120π/360

s = 28π/9

Answer is C.

Make your turn please

Answers

Answer:

9in

Step-by-step explanation:

Use the Pythagorean theorem:

leg² + leg² = hypotenuse²

We have

leg = 40in

hypotenuse = 41in

Let other leg = x.

Substitute:

x² + 40² = 41²

x² + 1600 = 1681           subtract 1600 from both sides

x² = 81 → x = √81

x = 9in

8x-6y=54 in slope intercept form please!!

Answers

Answer: y= 4/3x-9

Step-by-step explanation:

Final answer:

The equation 8x - 6y = 54 can be converted to slope-intercept form (y = mx + b) by isolating y. The steps involve rearranging terms and simplifying to yield the equation: y = (4/3)x - 9.

Explanation:

First, you want to manipulate your equation: 8x - 6y = 54 into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. Here are the steps:

Add 6y to both sides to isolate variables on one side. Now, the equation is 8x = 6y + 54. Divide everything by 6 to solve for y. The equation becomes y = (8x/6) - (54/6). Simplify the equation: y = (4/3)x - 9.

Therefore, the equation 8x - 6y = 54 in slope intercept form is y = (4/3)x - 9.

Learn more about Slope-Intercept Form here:

https://brainly.com/question/29146348

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Calculate the exact value of ( 4 1/3 - 1 2/5 ) ÷ 4/15

Answers

the answer is 11.

use BEDMAS, and calculate the equation inside the brackets (answer to that is 44/15)

then divide it by 4/15 and you get 11

let's firstly convert the mixed fractions to improper fractions and proceed.

[tex]\bf \stackrel{mixed}{4\frac{1}{3}}\implies \cfrac{4\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{13}{3}}~\hfill \stackrel{mixed}{1\frac{2}{5}}\implies \cfrac{1\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{7}{5}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \stackrel{\textit{recall that by PEMDAS, parenthesis first}~\hfill }{\left(\cfrac{13}{3}-\cfrac{7}{5} \right)\div \cfrac{4}{15}\implies \left(\stackrel{\textit{using an LCD of 15}}{\cfrac{(5)13-(3)7}{15}} \right)\div \cfrac{4}{15}\implies \left(\cfrac{65-21}{15} \right)\div \cfrac{4}{15}} \\\\\\ \left(\cfrac{44}{15}\right)\div \cfrac{4}{15}\implies \cfrac{44}{15}\times \cfrac{15}{4}\implies \cfrac{44}{4}\cdot \cfrac{15}{15}\implies 11\cdot 1\implies 11[/tex]

Write the equation of a line in slope intercept form that is parallel to 2X plus 4Y equals 10 and passes through the point (8,2)

Answers

Answer: [tex]y=-\frac{1}{2}x+6[/tex]

Step-by-step explanation:

The equation of the line is slope-intercept form is:

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

Where m is the slope and b thte y-intercept.

The lines are parallel, then they have the same slope.

Solve for "y"  from  [tex]2x+4y=10[/tex] to find the slopes of the lines :

[tex]2x+4y=10\\4y=-2x+10\\y=-\frac{1}{2}x+\frac{5}{2}[/tex]

The  value of the slopes of the lines is:

[tex]m=-\frac{1}{2}[/tex]

Substitute the slope and the point into the equation of the line and solve for "b":

[tex]2=-\frac{1}{2}(8)+b\\2=-4+b\\b=6[/tex]

Then the equation of this line is:

[tex]y=-\frac{1}{2}x+6[/tex]

Hello!

The answer is:

The equation of the new line will be:

[tex]y=-0.5x+6[/tex]

or

[tex]y=-\frac{1}{2}x+6[/tex]

Why?

To solve the problem, we need to remember the slope intercept form of a line.

The slope intercept form of a line is given by the following equation:

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

Where,

y, is the function.

x, is the variable of the function.

m, is the pendant of the line.

b, is the y-axis intercept of the line.

So, we are given the line that will be parallel to the line that we are looking for:

[tex]2x+4y=10\\4y=-2x+10\\4y=-2(x-5)\\y=\frac{-2}{4}*(x-5)\\\\y=-\frac{1}{2}*(x-5)\\\\y=-\frac{1}{2}x+\frac{5}{2}[/tex]

Where,

[tex]m=-\frac{1}{2}[/tex]

Then,

We need to use the same slope to guarantee that the new line will be parallalel to the given line-

So, our new line will have the following form:

[tex]y=-\frac{1}{2}x+b[/tex]

We need to substitute the given point to isolate "b" in order to guarantee that the line will pass through.

Now, substituting the given point,  to calculate"b", we have:

Calculating b, we have:

[tex]2=-\frac{1}{2}8+b[/tex]

[tex]2=-4+b[/tex]

[tex]2+4=b[/tex]

[tex]6=b[/tex]

Hence, we have that the equation of the new line will be:

[tex]y=-0.5x+6[/tex]

or

[tex]y=-\frac{1}{2}x+6[/tex]

Proving that the line will pass through the given point, by substituting it into its equation, we have:

[tex]2=-0.5(8)+6[/tex]

[tex]2=-4+6[/tex]

[tex]2=2[/tex]

So, since the equality is satisfied, we know that the line pass through the new line.

Have a nice day!

Olivia solved a division problem by subtracting and keeping track as shown. Identify the problem she solved.

Answers

Answer: 314÷13

..............................................................................

Answer:

13/314

Step-by-step explanation:

please help with this thank you

Answers

Answer:

(4, - 2 )

Step-by-step explanation:

To find the x- coordinate substitute y = - 2 into the equation

y + 2 = - 3(x - 4), thus

- 2 + 2 = - 3x + 12

0 = - 3x + 12 ( subtract 12 from both sides )

- 12 = - 3x ( divide both sides by - 3)

4 = x

please help and look at the picture

Answers

ANSWER

A.

[tex] \frac{1}{64} [/tex]

EXPLANATION

The given expression is:

[tex] {4}^{ - \frac{11}{3} } \div {4}^{ - \frac{2}{3} } [/tex]

Recall that:

[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]

We apply this property to obtain:

[tex]{4}^{ - \frac{11}{3} } \div {4}^{ - \frac{2}{3} } = {4}^{ - \frac{11}{3} - - \frac{2}{3} } [/tex]

Collect LCM

[tex]{4}^{ - \frac{11}{3} } \div {4}^{ - \frac{2}{3} } = {4}^{ \frac{ - 11 + 3}{3}} [/tex]

Simplify;

[tex]{4}^{ - \frac{11}{3} } \div {4}^{ - \frac{2}{3} } = {4}^{ \frac{ - 9}{3}} [/tex]

.

[tex]{4}^{ - \frac{11}{3} } \div {4}^{ - \frac{2}{3} } = {4}^{ - 3} [/tex]

[tex]{4}^{ - \frac{11}{3} } \div {4}^{ - \frac{2}{3} } = \frac{1}{ {4}^{3} } [/tex]

[tex]{4}^{ - \frac{11}{3} } \div {4}^{ - \frac{2}{3} } = \frac{1}{64} [/tex]

The first choice is correct

I promise BRAINLIST!!! It's simple!!!

Make a stem-and-leaf plot that represents the data set below?
64, 67, 81, 89, 108, 114, 74, 52, 93, 76, 87


Answers

Answer:

answer in the image attached above

Step-by-step explanation:

Hope it helps

Which of these expressions is equivalent to log (20/3)

Answers

Answer:

C log (20) - log (3)

Step-by-step explanation:

log (a/b) = log (a) - log (b)

log (20/3) = log (20) - log (3)

Answer: C. log (20) - log (3)

Step-by-step explanation: a p e x /\ dude above me is right too

One side of a rectangle is 3 feet shorter than twice the other side find the sides if the area is 209 feet squared

Answers

Answer:

29119.66666...+14561.3333...=43681, 209ft^2, not square feet.

Step-by-step explanation:

"One side of a rectangle is 3 feet shorter than twice the other side find the sides if the area is 209 feet squared"

Ok, so this is a tricky one- 209 feet squared, not 209 square feet, therefore the area is 209^2, or 43,681.

Next, let's define our variables-

x= the "other side"

z= 3 feet shorter than twice side

We can now make these (useful) equations

z=2x-3

43681= (2x-3)+x

We will focus on the latter for now-

Simplify

43681= (2x-3)+x

43681= 2x-3+x

43681= 3x-3

+3

43684=3x

/3

14561.3333...=x

z=2x-3

z=2*(14561.3333)-3

z=29119.66666....

29119.66666...+14561.3333...=43681

I only need someone to put it in the quadratic formula I already have solutions. Please answer ASAP!!! I will give brainliest!!!

Answers

The quadratic formula is [tex]\frac{-b+-\sqrt[2]{b^2-4ac}}{2a}[/tex]

and in the equation ax^2+bx+c=0

so now all you have to do is substitute the numbers into the quadratic formula

Camilo practica tiro al blanco. En cada disparo acertado puede obtener 5, 8, o 10 puntos. En su última práctica, su puntuación total fue de 99, él obtuvo 8 puntos tantas veces como 10 puntos. Si en el 75% de las veces acertó al blanco, ¿cuántos disparos hizo Camilo en total?

Answers

Answer:

20 disparos

Step-by-step explanation:

Primera etapa es de determinar cuantos tiros de Camilo acertaron al blanco.

Sabemos que en su última práctica, obtuvo 99 puntos con una mezcla de 5, 8 y 10 puntos.  Eso puedo se exprimir así:

5x + 8y + 10x = 99

Sabemos también que el obtuvo tantos tiros de 8 puntos que de 10 puntos, entonces

y = z

Podemos mezclar las 2 ecuaciones y substituir y por z:

5x + 8y + 10y = 99

5x +18y = 99

Una ecuación, dos variables... no es fácil... pero son números pequeños y se puede intentar soluciones.  Entonces, cuantas veces podemos multiplicar 5 y 18 para obtener 99?

El más simple es de hacer la tabla de multiplicación de 18 y ver cual número nos deja con un multiple de 5.

18 x 1 = 18 (99 - 18 = 81, no un multiple e 5)

18 x 2 = 36 (99 - 36 = 63, no un multiple de 5)

18 x 3 = 54 (99 - 54 = 45, SI, un multiple de 5)

18 x 4 = 72 (99 - 72 = 27, no un multiple de 5)

18 x 5 = 90 (99 - 90 = 9, no un multiple de 5)

Entonces, sabemos que y = 3 y z = 3

5x + 18 (3) = 99

5x + 54 = 99

5x = 45

x = 9

El tiró 9 veces por 5 puntos, 3 veces por 8 puntos y 3 veces pour 10 puntos.

En total tiró 15 veces.

Si acertó 75% (3/4) de las veces, cuantos tiros total?

[tex]\frac{15}{3/4} = \frac{15 * 4}{3} = 20[/tex]

Camilo tiró 20 veces en total.

What percent of a dozen is 3

Answers

Answer:

25%

Step-by-step explanation:

Percentages are one of several ways of describing quantities' relationships to one another. Specifying one number as a percentage of another means specifying the fraction of the second quantity the first comprises. The percentage value is the number that, divided by 100, equals that fraction. To express the percentage as a whole number, round it accordingly. Some applications, however, don't require percentages as exact whole figures.

Divide the first number the second. For instance, if you want to find what percentage 43 is out of 57, divide 43 by 57 to get 0.754386.

How do I do this algebra??

Answers

Answer:

75

Step-by-step explanation:

Square both sides. 225=3x^2

divide both sides by 3

x^2=75

x=√75= 5√3

[tex]15 = x \sqrt{3} \\ \\ 1. \: 15 = \sqrt{3x} \\ 2. \: \frac{15}{ \sqrt{3} } = x \\ 3. \: x = \frac{15}{ \sqrt{3} } [/tex]

i am a number. If the area of each square below is 25 square units, i am the perimeter of the figure. i am ___________

Answers

Answer: 20

Step-by-step explanation:

The area= 25

The square root of 25=5

So we know that 2 sides are 5

5×4=20

Multiply 5 by 4 because squares have all sides of the same length, so the remaining 2 sides are 5.

The answer and how to do it for me homework

Answers

Answer:

15

Step-by-step explanation:

Answer:

y = -5

Step-by-step explanation:

You are solving for y. You want to know which value of y makes the equation true. You must end up with y alone on the left side equaling a number.

12y + 25 = -35

First, subtract 25 from both sides.

12y + 25 - 25 = -35 - 25

12y = -60

Now divide both sides by 12.

12y/12 = -60/12

y = -5

Answer: y = -5

Two squares are similar. The first square has sides that measure 4 inches, and the second square has sides that measure 12 inches. The scale factor used to get from the first square to the second one is

Answers

3, because 12/4=3. And 12:4 is equal to 3:1 or 3.

The average battery life of 2800 manufactured cell phones is recorded And normally distributed. The mean battery life is 14 hours with a standard deviation of .5 hours. Find the number of phones who have a battery life in the 13 to 14 range.

Answers

Answer:

1336 phones

Step-by-step explanation:

The average battery life of 2800 manufactured cell phones has a normal distribution.

The mean battery life is 14 hours, therefore: μ = 14 hours.

The standard deviation is 0.5 hours, therefore: σ = 0.5 hours.

To find the number of phones who have a battery life in the 13 to 14 range, we're going to ask for the help of a calculator. The probability of finding phones who have a battery life in the 13 to 14 range is: 0.4772. (See attached picture)

Therefore, the number of phones who have a battery life in the 13 to 14 range is: 0.4772×2800 = 1336,16 ≈ 1336 phones.

Final answer:

To find the number of phones with a battery life between 13 and 14 hours, calculate the z-scores, find the corresponding percentage using the standard normal distribution, and then multiply by the total number of phones, resulting in approximately 1336 phones.

Explanation:

The question asks for the number of cell phones with a battery life in the 13 to 14 hour range out of 2800 phones where the mean battery life is 14 hours with a standard deviation of 0.5 hours. The battery life is normally distributed.

To find this number, we need to calculate the z-scores for 13 and 14 hours and then determine the percentage of phones between those z-scores. The z-score for 13 hours is (13 - 14)/0.5 = -2 and for 14 hours is (14 - 14)/0.5 = 0. Using the standard normal distribution table, the area under the curve from -2 to 0 is approximately 47.7%. Therefore, the number of phones with battery life between 13 and 14 hours is 0.477 * 2800 ≈ 1336 phones.

Determine if the binomial is a perfect square binomial. If so, show the original monomial squared.
5. x2+ 16
6. x4 + 12x2+ 36

Answers

Answer:

Step-by-step explanation:

(5) x^2 + 16 is a perfect square binomial only if imaginary roots are allowed.

x^2 + 16 = (x + 4i)(x - 4i)

(6)  x^4 + 12x^2 + 36 is a perfect square trinomial.  

The square root of x^4 is x^2 and the square root of 36 is 6.

Experimenting, we find that  x^4 + 12x^2 + 36 = (x² + 6)²

so we can conclude that x^4 + 12x^2 + 36 = (x² + 6)(x² + 6) = (x² + 6)².

The vertex of this parabola is at (-1,3) Which of the following could be its equation

Answers

Answer:

y - 3 = a(x + 1)^2

Step-by-step explanation:

The vertex equation of a vertical parabola is:

y - k = a(x - h)^2.

If the vertex is at (-1, 3), then the equation becomes:

y - 3 = a(x + 1)^2, where a is a constant.

Next time, would you please share the answer choices.  Thank you.

Answer:

Step-by-step explanation:

all parabola have equation : y = a(x +1)²+3   a in R

What is the meaning of Zero on a number line

Answers

The definition of a number line is a straight line with a "zero" point in the middle, with positive and negative numbers listed on either side of zero and going on indefinitely.

Give the polynomial function below find f(-4) f(x) =2x^2 - x+ 9

Answers

Answer:

f(-4) = 45

Step-by-step explanation:

Put x = -4 to f(x) = 2x² - x + 9:

f(-4) = 2(-4)² - (-4) + 9 = 2(16) + 4 + 9 = 32 + 4 + 9 = 45

Other Questions
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