Mathematics College

Jared bought 7 cans of paint. A can of red paint costs $3.75. A can of black paint costs $2.75. Jared spent $22.25 in all. How many cans of black (b) and how many cans of red (r) did he buy? r+b=7 3.75r+2.75b=22.25 [?] red [ black Enter​

Jared Bought 7 Cans Of Paint. A Can Of Red Paint Costs $3.75. A Can Of Black Paint Costs $2.75. Jared

Answers

Answer 1

Answer:

b = 4

r = 3

Step-by-step explanation:

r + b = 7

solve for 'r' to get r = 7-b

now substitute '7-b' for r in the second equation:

3.75(7-b) + 2.75b = 22.25

26.25 - 3.75b + 2.75b = 22.25

-b = -4

b = 4

r = 3

Answer 2

Jared bought 3 cans of red paint (r = 3) and 4 cans of black paint (b = 4).

To solve this problem, using algebraic equations. Jared recently bought cans of red and black paint, and we want to find out how many cans of each color he purchased. We know that the cost of a red can is $3.75, the cost of a black can is $2.75, and Jared spent a total of $22.25 on the paint. We will set up two equations based on the given information and solve them simultaneously to find the values of "r" (number of red cans) and "b" (number of black cans).

Let's use the following variables:  

r  : Number of red cans purchased  

b : Number of black cans purchased

Now, we can set up two equations based on the information given in the problem:

1. The total number of cans purchased:  

  Since Jared bought 7 cans in total, we can write this as:

   r + b = 7  ... (Equation 1)

2. The total cost of the cans:  

  The cost of each red can is $3.75, so the total cost of all red cans is 3.75r. The cost of each black can is $2.75, so the total cost of all black cans is 2.75b. Jared spent a total of $22.25, so we can write this as:

    3.75r + 2.75b = 22.25  ... (Equation 2)

Now, we have a system of two equations with two variables. We will use the method of substitution or elimination to solve for r and b.

Using substitution, we can rearrange Equation 1 to solve for r:  

r = 7 - b

Now, we can substitute this value of r into Equation 2:

3.75(7 - b) + 2.75b = 22.25

Next, distribute and simplify the equation:

26.25 - 3.75b + 2.75b = 22.25

Combine the b terms:

-1b = 22.25 - 26.25

Simplify further:

-1b = -4

Finally, divide both sides by -1 to find the value of b:

b = 4

Now that we have the value of b, we can find r by substituting the value of b into Equation 1:

r + 4 = 7

Subtract 4 from both sides:

r = 7 - 4

r = 3

Therefore, Jared bought 3 cans of red paint (r = 3) and 4 cans of black paint (b = 4).

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Related Questions

An electronics store advertises that one lucky customer will be given a television at the store's 10th anniversary celebration on the day of the
celebration, 150 customers, of which 82 are less than 30 years old and 68 are 30 years old or more, complete a form to enter for the chance to win
the television. The manager of the store wants to select the winner by drawing a form out of a box, but the box can only hold 100 forms.
Which method ensures both that the manager can use the box for the selection and that each customer has a fair chance of winning?
A. Divide the forms into two lots based on age. Then, randomly select one of the lots and place it in the box Randomly select the
winning customer's form out of the box.
B. Randomly divide the 150 forms into three equal-sized lots. Then, randomly select two of the lots and place them in the box
Randomly select the winning customer's form out of the box
c. Sort the forms alphabetically by last name Then, place the first 100 forms into the box Randomly select the winning customer's
form out of the box
D. Randomly divide the 150 forms into five equal-sized groups. Then randomly select 4 of the groups and place them in the box
Randomly select the winning customer's form out of the box

Answers

Answer:

the answer to this question is"B"

B. Randomly divide the 150 forms into three equal-sized lots. Then, randomly select two of the lots and place them in the box

Randomly select the winning customer's form out of the box

What  a in electronics?

AMPERE - A unit of measure for the flow of current in a circuit. One ampere is the amount of current flow provided when one volt of electrical pressure is applied against one ohm of resistance.

What is the use of electronics?

Electronics uses active devices to control electron flow by amplification and rectification, which distinguishes it from classical electrical engineering, which only uses passive effects such as resistance, capacitance and inductance to control electric current flow.

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BRAINLIEST PLEASSEEEEE HELP
7TH GRADE MATH
10PTSSSSS EASYYY
PLEASE HELP
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5?
Perimeter = 46 cm, area = 131.25 cm2
Perimeter = 126 cm, area = 972 cm2
Perimeter = 46 cm, area = 972 cm2
Perimeter = 126 cm, area = 131.25 cm2

Answers

Answer:

B

Step-by-step explanation:

Last semester, Mr. Dean had 8 students who built a sailboat in 160 working hours. The time that
takes for a group of students to build a sailboat varies inversely as the number of students s working on the
sailboat. How many hours would it take 12 students to build the bout?

Answers

Answer:

106.67 hours

Step-by-step explanation:

Total hours

160 * 8 = 1,280

Hours for group of 12

1280 / 12 = 106.6666666667


HELPPP
PLLS
DUE RN



WILL


GIVE BRAINLIST



X
X
X
X

Answers

It’s the last one Which is =

Answer:

>

Step-by-step explanation:

41/8 = 5.125

The expense ratio (in percentage) for large-cap growth mutual funds have the following sample data0.52, 1.06, 1.26, 2.17, 1.55, 0.99, 1.10, 1.07, 1.81, 2.05 0.91, 0.79, 1.39, 0.62, 1.52, 1.02, 1.10, 1.78, 1.01, 1.15The data is believed to be normally distributed.a. Is there compelling evidence for concluding that the population mean expense ratio exceeds 1%? Carry out a test of the relevant hypothesis using a significance level 0.01.b. Referring back to part (a), describe in context type I and II errors and say which error you might have made in reaching your conclusion. The source from which the data was obtained reported that ? = 1.33 for the population of all 762 such funds. So did you actually commit an error in reaching your conclusion?c. Suppose that ? = 0.5, determine and interpret the power of the test in part (a) for the actual value of ? stated in (b).

Answers

Answer:

Part a:  Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.

Part b:  Yes we accepted the null hypothesis when it is false so we made a type II error.

Part c: Power = 0.6591=0.66

Step-by-step explanation:

Part a:

Let the null and alternate hypotheses be

H0: u ≤ 1 against the claim Ha: u > 1

The significance level is ∝=0.01

As the standard deviation of the population is not given we use t- test which has n-1= 20-1= 19 degrees of freedom

This is one tailed test the critical region is t > ± 2.539

The mean is calculated to be 1.24 and standard deviation of the sample = s= 0.4486

We take population mean = u= 1

The test statistic is

t = x`-u/ s/ √n

t= 1.24-1 / 0.445/√20

t= 0.24/0.0995

t= 2.412

Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.

Part b:

Type I errors are those errors when the null hypothesis is true and is rejected.

Type II errors are those in which the null hypothesis is false and is accepted.

If we had rejected the null hypothesis as it was true then we would have made a type I error.

Population mean = u = 1.33

And our null hypothesis is u= 1

Yes we accepted the null hypothesis when it is false so we made a type II error.

Part c:

When σ= 0.5

For Part a: μ= 1.33

Power = P (reject H0/ H0 is false)

= 1-β

P (reject H0/ H0 is false) = P (z > 2.539+ (u`-u0) / σ*√n)

= P (z > 2.539+ (1-1.33) /0.5 *√20)

=P (z > 2.539-2.9516)

= P (z > 0.4126)

= 0.5 - P (z= 0.2938)                                         from the area of table.

= 0.5- 0.1591

=0.3409

Power = 1-β = 1- 0.3409= 0.6591=0.66

how to put 10x - 3y= -6 in slope intercept form

Answers

Answer:

y=10/3x+2

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

10x-3y=-6

-10x. -10x

-3y=-6-10x

/-3. /-3

y=10/3x+2

How do I multiply 73.458 × 0.39

Answers

Answer: 73.458 x 0.39 = 28.64862

i would love a little help

Answers

Step-by-step explanation:

36A) AB = 4/ sin 30° = 4/ 0.5 = 8 cm

36B) AC = 4/ tan 30° = 4/ 0.577 = 6.9 cm

36C) BD = 4/sin 45° = 4/ 0.707 = 5.7 cm

36D) area of ∆ABC = ½×6.9×4= 13.8 cm²

36E) sin A = sin 30° = 0.5

Distance on a Coordinate Plane
Determine the distance between the two points.

Answers

Answer:

The distance between the points is five for the first one and 7 for the second one.

Step-by-step explanation:

Eve surveys the students in her classroom to find out how much time they spent doing their homework last night. The results are plotted in the line plot below. The measurements are rounded to the nearest \dfrac{1}{4}
4
1
​
start fraction, 1, divided by, 4, end fraction of an hour

Answers

Answer: The answer is 5/4 :)

Answer:

5/4 or 1 1/4

Step-by-step explanation:

khan academy

What is the length of the sink using the red line on the tape measure?

Answers

Answer:

A.

Step-by-step explanation:

which fraction is equivalent to 0.63? A. 7/11 B. 19/30 C. 63/100 D. 63/1000

Answers

Answer:

C. 63/100

hope this helps

have a good day :)

Step-by-step explanation:

HELP PLSSS HURRY PLS

Answers

Answer:

48

Step-by-step explanation:

because it gives us the perimeter, we add all the sides

4z-1+4z-1+5z+3+5z+3=166

8z-2+10z+6=166

18z+4=166

18z=162

z=9

side PS is 5z+3

plug in z to get 45+3=48

Write an algebraic expression for the situation.

7 times the sum of y and 1/3

Answers

Answer:

7(y + 1/3)

Step-by-step explanation:

7 times the sum of y and 1/3

7    *           (y + 1/3)

7 * (y + 1/3)

7(y + 1/3)

I need the answer fast

Answers

The answer is the first one, A = 0.5bh. I hope this helps, have a good day!

Find the volume of a cone with a height of 13 cm and a radius of 5 cm.

Answers

Answer:

V≈340.34

Step-by-step explanation:

V=πr2h

3=π·52·13

3≈340.3392

An art class is planning to paint a mural on an outside wall.The figure below is a scale

drawing of the wall. What is the area of the actual wall?

Answers

Answer:

Step-by-step explanation:

I dont see The figure to hepl you

I need Help!
+9 - (+12) =?

Answers

Answer:

+9-12

==3

Step-by-step explanation:

when u multiply - and + it will always be -

Answer:

To simplify this, it is simply.

9 - 12

Because the + means its a positive.

9 - 12 = - 3

Your class earned $110.00 Saturday afternoon by washing cars to raise money for a class trip. This is 14 of the money needed for the trip. What is the total amount needed?

Answers

Answer: $1,540.00 is the total amount needed for the class trip

Step-by-step explanation:

Data: $110.00 earned for class trip

14th of the money needed

Money needed: x

Step one, Make the equation

110x14=x

Reason: Since we know 110.00 is a 14th of the money needed, we know multipling it by 14 will get us the money needed for the class trip. Having it in an equation will make it easier to solve.

Step two, Evaluate the equation

110x14=x=1540=x

Reason: The only thing that was left to do was to multiply 110 by 14 to get 1540 since the x was already isolated to begin with. That leaves us with the  answer of x=1540.

However, since this is a real world problem, we have to make the answer more realistic so the final answer is '$1,540.00 is the total amount needed for the class trip'

I hope this helps!

Segment AB, with endpoints A(-6,9) and B(12, -3), is dilated by a scale factor of 2/3 centered at the origin. What are the coordinates of A'?

Answers

9514 1404 393

Answer:

  A'(-4, 6)

Step-by-step explanation:

When dilation is about the origin, the image points are the preimage points multiplied by the scale factor.

  A' = (2/3)A = (2/3)(-6, 9)

  A' = (-4, 6)

Answer:

(-4, 6)

Step-by-step explanation:

Select the two binomials that are factors of this trinomial.
x2 + 8x + 12
A. X+6
B. X-2
C. X + 8
D. X+2

Answers

[tex]\huge{ \mathfrak{ \underline{question : }}}[/tex]

Select the two binomials that are factors of this trinomial.

[tex]x_2 + 8x + 12[/tex]

[tex]\huge{ \mathfrak{ \underline{Answer : }}}[/tex]

[tex] {x}^{2} + 8x + 12[/tex]

[tex] {x }^{2} + 6x + 2x + 12[/tex]

[tex]x (x + 6) + 2(x + 6)[/tex]

[tex](x + 2)(x + 6)[/tex]

We got the factors as :

[tex]A. \: (x + 6)[/tex]

and

[tex]D. \: (x + 2)[/tex]

[tex] \#TeeNForeveR[/tex]

Answer:

A&D

Step-by-step explanation:

what is the volume of the aquarium?

Answers

Answer:

3000 in3 ? I haven't actually done this i-ready before- but I believe it's

Width x Length x Height = Final result?

Step-by-step explanation:

Need help asap please

Answers

Answer:

3.8×10^7= 38000000

1.9×10^6= 1900000

38000000÷1900000= 20

the population of California is 20 greater than the population of Nebraska

Solve for x
3x−2=4x+5​

Answers

Answer:

the answer for x equal negative 7

1. Collect like terms. When a term changes position from the equal sign it will also change its sign.( positive becomes negative, negative becomes positive)

3x - 4x = 5 + 2
-x = 7 divide both side by -1
x = -7

PLEASE HELP! urgent! Write the equation of a line in a slope-intercept form and standard form

Answers

Answer:

[tex]y = \frac{3}{4}x -3[/tex] --- Slope intercept

[tex]4y - 3x =- 12[/tex] --- Standard form

Step-by-step explanation:

Given

The attached linear graph

Required

The equation

Select any two points on the line

[tex](x_1,y_1) = (0,-3)[/tex]

[tex](x_2,y_2) = (4,0)[/tex]

Next, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{0 --3}{4 - 0}[/tex]

[tex]m = \frac{3}{4}[/tex]

The slope intercept is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = \frac{3}{4}(x - 0) -3[/tex]

[tex]y = \frac{3}{4}(x) -3[/tex]

[tex]y = \frac{3}{4}x -3[/tex]

Multiply through bu 4

[tex]4y = 3x - 12[/tex]

Subtract 3x from both sides

[tex]4y - 3x =- 12[/tex] --- Standard form

What is X 7x - 3 = 11
weeee
weeee
weeee




naaaa jk this is the real question

ANYONE WAN NA HAVE SOME "FUN"???

Answers

Answer:

x=2

Step-by-step explanation:

7x - 3 = 11

Add 3 to each side

7x - 3+3 = 11+3

7x = 14

Divide by 7

7x/7 = 14/7

x = 2

[tex]\boxed{\bold{ X=2  }}[/tex] 

Full solution

7x-3=11

now we have to add 3 in both sides

we get that,

7x-3+3=11+37x=14

now divide 7 in both sides

we get that,

7x/7=14/7x=2

Cos 0 =
I need this as fast as I can please

Answers

Step-by-step explanation:

I hope you understand what I wrote

Answer:

cos=Adjacent / hypotenuse

[tex] \cos = \frac{35}{37} [/tex]

choose B.

When a researcher asks respondents for the names or identities of others like themselves who might qualify to take part in the survey, they are using what type of sampling method

Answers

Answer:

Chain referral sampling

Step-by-step explanation:

Chain referral sampling is also known as snowball sampling. In this form of sampling, the samples are collected from the referrals given by the existing samples. The samples are collected and the research is conducted respectively. This method is used in the business marketing also. The places where the people are not known by the company, the method of chain referrals are made and the samples are collected.

For each of the regions D in R^2 below, fill in the blank so that the statements are true:

A continuous function on D= {(x,y) ∈ R^2 | 2x^4+6y^2 >= 152} __________ have an absolute maximum.

a. must
b. might or might not
c. must not

Answers

Answer:

b. might or might not

Step-by-step explanation:

Theorem:

If f is a continuous function in a bounded interval, it must have an absolute maximum.

In this question:

The interval is  2x^4+6y^2 >= 152, which goes to infinite, meaning it is not bounded, and so the function might or might not have an absolute maximum, and the correct answer is given by option b.

Answer:

b. might or might not

Step-by-step explanation:

For each of the regions D in R^2 below, fill in the blank so that the statements are true: might or might not

A car salesman will make $1400 salary this month and will earn an extra $500 each time he sells a car. Write an equation for the situation. Determine how much money he will make if he sells 7 cars.​

Answers

Given:

Fixed salary = $1400

Additional salary = $500 each time he sells a car.

To find:

The equation for the situation and how much money he will make if he sells 7 cars.​

Solution:

Let y be the total salary of the salesman after selling x cars.

He will earn an extra $500 each time he sells a car. So, extra money earned by him after selling x cars is 500x.

Total salary = Fixed salary + Additional salary

[tex]y=1400+500x[/tex]

Substituting [tex]x=7[/tex], we get

[tex]y=1400+500(7)[/tex]

[tex]y=1400+3500[/tex]

[tex]y=4900[/tex]

Therefore, the required equation for the given situation is [tex]y=1400+500x[/tex] and the salesman will earn $4900 if he sells 7 cars.​

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