rachel bought an equal number of bowls and plates for$96. each plate cost $2 and each bowl cost $4 more than each plate. how much did she spend on all the plates

Answers

Answer 1

Answer:

$24

Step-by-step explanation:

Cost per plate: $2

Cost per Bowl: $2 + $4 = $6

Cost of 1 Plate and 1 Bowl: $2 + $6 = $8

Total cost of $96 divided by Cost of 1 Plate and 1 Bowl $8 = 12 sets of 1 Plate and 1 Bowl

12 plates x $2 Cost per Plate = $24

Answer 2

Answer:

$24

Step-by-step explanation:

Let [tex]b[/tex] = bowl

Let [tex]p[/tex] = plate

Given:

Equal number of bowls and plates for $961 plate = $2 1 bowl = $4 + $2 = $6

1) We can translate these into algebra. Since Rachel has equal number of bowls and plates, [tex]b=p[/tex], totaling to $96.

[tex]b=p\\2p + 6b = 96[/tex]

2) We can solve for [tex]p[/tex] these two equations simultaneously using the substitution ot elimination method. I will demonstrate using the substitution method here.

[tex]2p + 6(p) = 96\\2p+ 6p = 96\\8p = 96\\p = \frac{96}{8} \\p = 12[/tex]

So, Rachel bought 12 plates and 12 bowls since plates are equivalent to bowls.

3) Use ratio to find the the cost of the plates.

[tex]1p[/tex] = $2

[tex]12p[/tex] = $24


Related Questions

175 miles in 4 hours in unit rate pls help me

Answers

Unit rate = miles divided by hours

175 divided by 4 = 43.75

43.75 miles per hour / mph is your unit rate
43.75 miles per hour

To get this all I did was 175 divided by 4

How is adding and
subtrading decimas
Similar tooro different
from adding and subtrocling
whole numbers

Answers

Similar: you add by lining up, example: 50
+50 and 6.5
+6.5

Different: you bring down a decimal

José is driving on a highway. The equation d
55t relates the
number of miles d and the amount of time in hours t. About how
many hours does José spend driving 100 mi?

Answers

Answer:

it takes José an 1.18181818 hours

Step-by-step explanation:

since d is miles you replace the d in the equation with 100

so: 100=55t

divide both sides by 55

1.18181818=t

What is TU???? 24 points

Answers

Since it says that T is the midpoint that means it equal divided the line. So,
X+3 must equal 4x
X+3 =4x
Subtract x on both sides
3=3x
Divide 3 on both sides
1=x
Plug in x into equation
4(1) =4

TU =4

Answer:

4

Step-by-step explanation:

Here we know that T is the midpoint of SU.

Therefore, we know ST and TU are equal.

Setting their values equal, we get:
x+3 = 4x

Then we isolate x by subracting x from both sides:

3=3x

Finally we divide by 3:

1=x

Now we can solve for TU:

4x= 4(1) = 4


I NEEED HELP PLEASEE

Answers

Answer:

D

Step-by-step explanation:

Additive Inverse Property is the idea that you are adding the same number but positives and negatives of it. So, the correct answer is D.

Hope that helps!

Math problem 50 points

Answers

Answer:

Start with 1st one

Step-by-step explanation:

1-1st one

2-3rd one

3-7th one

4-2nd one

5-6th one

6-4th one

7-5th one

8-8th one

Answer: u said 50

Step-by-step explanation: acd

Dana has 8 baseball cards, 10 football cards, 4 hockey cards, and 14 basketball cards. All the cards are the same size and shape. Dana will select one card at random.

What is the probability that the care selected will be a hockey card?

A. 1/9
B. 1/8
C. 1/4
D. 1/3

Answers

Answer:

A. 1/9

Step-by-step explanation:

In order to find probability, you need to add up the total number of cards Dana has.

14 + 10 + 8 + 4 = 36

Then set up a fraction representing probability.

4 hockey cards

---------------------

36 total cards

Simplify

1

---

9

This means that Dana has a 1 out of 9 chance of getting a hockey card.

☆anvipatel77☆

•Expert•

Brainly Community Contributor

Jody has already hiked 4 kilometers. The trail is 12 kilometers long. She can hike 2.5 kilometers per hour. Which function will help Jody will help figure out how many more hour, h, she needs to hike?

Answers

Answer:

2.5h + 4 = 12 is your equation

2.5h = 12 - 4

2.5h = 8

h = 8 / 2.5

h = 3.2 hrs

Step-by-step explanation:

Answer:

2.5h + 4 = 12 is your equation

2.5h = 12 - 4

2.5h = 8

h = 8 / 2.5

h = 3.2 hrs

4.321 - 41
Please help me

Answers

answer is given above..........

A company makes several sizes of phones. For each size, the ratio of the height of the screen to its width is 18:9. Write an equation that shows how to find the height in inches of any of the company's phone screens based on the screen's width in inches. Show your work.​

Answers

The equation which shows how to find the height in inches of based on the screen's width is; h=2w

What is the screen's height in terms of the screen's width?

According to the taks content!

The ratio of the height of the screen to its width is 18:9.

On this note, it follows that;

h/w = 18/9

By making the h the subject of the formula;

h = 18w/9

h = 2w.

Read more on ratios;

https://brainly.com/question/2328454

Gabrielle's emerald ring has a diameter of 14 millimeters. What is the ring's radius?

millimeters

Answers

Answer:

7 mm

Step-by-step explanation:

Formula

Radius = 1/2 x Diameter

Solving

Diameter = 14 mmRadius = 1/2 x 14 mmRadius = 7 mm

Lucas owns a car dealership in Brazil that is having a big sale for the next 3 days. Lucas's car dealership will
lose revenue if it rains because potential customers will stay at home. There is a 50% chance of rain each
of the next 3 days independent of the other days. The table below shows Lucas's potential revenue for his dealership's big sale depending on how many days it rains. What is Lucas's car dealerships' expected revenue over the next 3 days?

Answers

Lucas's car dealerships' expected revenue over the next 3 days is $6800

How to determine the expected revenue?

The expected revenue is calculated using the following formula of expected value

[tex]E(x) = \sum x * P(x)[/tex]

The data elements on the table are represented as:

Days        Revenue

0              3000

1               1800

2              1300

3               800

So, we have:

E(x) = 0 * 3000 + 1 * 1800 + 2 * 1300 + 3 * 800

Evaluate the sum of the products

E(x) = 6800

Hence, Lucas's expected revenue is $6800

Read more about expected values at:

https://brainly.com/question/15858152

#SPJ1

Can someone give a good explanation?

Answers

Answer:

$2.3

Step-by-step explanation:

they bought hot dogs for $6.35

and french fries for. $3.90. +

they got two mugs of tea $1.40

the tax fee. $1.05

=$12.7

:.,total amount $15.00-$12.7=$2.3 remaining

Charlie cell phone cost $50 each month plus $0. 05 per text message. His budget is no more than $75 a month. How many text can be send?

Answers

Answer:

500

Step-by-step explanation:

let's say charlie sends x messages per month

he spends $50 + 0.05 for each x (message), which comes out to less than or equal to $75.

as an equation, this is

50 + 0.05 x ≤ 75

subtract both sides by 50 to isolate the variable and its coefficient

0.05 x ≤ 25

multiply both sides by 1/0.05 to isolate x

x ≤ 500

the maximum is therefore x = 500 messages

lesson 10.2 area of composite figures worksheet assigment

Answers

The composite figure includes a rectangle and trapezoid

The area of the composite figure is 810.5cm².

How to determine the area?

From the complete question, we have the following parameters:

Shapes: Rectangle and trapezoid

The area of the rectangle is:

Area = Length × Width

So, we have:

Area = 15 × 23

Area  = 345cm²

The area of the trapezium

Area = 0.5 × (a + b) ×h

So, we have:

Area = 0.5 × (15 + 34) × 19

Area = 0.5 × 49 × 19

Area = 465.5cm²

Add both areas to calculate the area of the composite figure

Total area = 345cm² + 465.5cm²

Total area  = 810.5cm²

Hence, the area of the composite figure is 810.5cm².

Read more about area on:

https://brainly.com/question/27297875

39 The table shows a linear relationship between x and y.
X
y
96
-20
60
-12
-6
33
-2
15
What is the rate of change of y with respect to x?
А
9
2

B
2
9
.
с
2
9
IN
9
2

Answers

Answer:

For B it is A92B but for a

Step-by-step explanation:

I got it right on my test!

Which equation has the solutions x = startfraction negative 3 plus-or-minus startroot 3 endroot i over 2 endfraction? 2x2 6x 9 = 0 x2 3x 12 = 0 x2 3x 3 = 0 2x2 6x 3 = 0

Answers

The quadratic equation which matches given solution is x² + 3x + 3 = 0. Then the correct option is C.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

We know that the formula

[tex]\rm x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The solutions are given below.

[tex]\rm x = \dfrac{-3 \pm \sqrt3 \iota }{2}[/tex]

Then

1)  2x² + 6x + 9 = 0, the zeroes of the equation will be

[tex]\rm x = \dfrac{-6\pm 6\iota}{4}\\\\x = \dfrac{-3\pm 3 \iota}{2}[/tex]

2)  x² + 3x + 12 = 0, the zeroes of the equation will be

[tex]\rm x = \dfrac{-3\pm \sqrt{39}\iota}{2}[/tex]

3)  x² + 3x + 3 = 0, the zeroes of the equation will be

[tex]\rm x = \dfrac{-3\pm \sqrt3\iota}{2}[/tex]

4)  2x² + 6x + 3 = 0, the zeroes of the equation will be

[tex]\rm x = \dfrac{-6\pm 2\sqrt{3}}{4}\\\\x = \dfrac{-3\pm \sqrt3 }{2}[/tex]

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

Find the area of the parallelogram, I will give brainliest
15cm 8cm
[?] square centimeters

Answers

Answer:

120 cm^2

Step-by-step explanation:

15*8; You can basiclly move the left edge to fill in the right part and it will become a normal rectangle. Then you can just do lenght*width

Answer:

120 Square centimeters

Step-by-step explanation:

A = bh = 15×8 = 120

"pyramid = 4
prism = 3
prism = 3
= 3
Wprism
What is the volume of this solid?
O A. 63
O B. 10
O c. 27
O D. 39

Answers

Answer:

Find the cube's volume first (because it's the simplest figure) by using the formula;

(Formula for vol. of cube)

V = [tex]s^{3}[/tex]

Where 's' stands for one side of the cube raised to the power of three.

or

V = w · l · h

Where 'w' stands for the width, 'l' stands for the length, and 'h' stands for the height.

Plug in the values you know since they literally give it to you (I'll be using the formula [tex]s^{3}[/tex]);

V = [tex]s^{3}[/tex]

V = 3^3 → (The symbol ' ^ ' means to the power of.)

V = 27, is the volume of the cube.

Now we find the volume of the pyramid using the formula;

(Formula for vol. of pyramid)

V = (l · w · h) · 1/3

Where 'l' means the length, 'w' the width, and 'h' the height whereas the 1/3 is just dividing the product of those three by 3.

Plug in the values you know using both the lengths from the cube and pyramid.

What we know of the dimensions for the cube:

Length = 3

Width = 3

Height = 3(we won't use)

What we know of the dimensions for the pyramid:

Height = 4

Use these to figure out the volume for the pyramid.

V = (l · w · h) · 1/3

V = (3 · 3 · 4) · 1/3

V = 36 · 1/3

V = 36/3

V = 12, is the volume of the pyramid.

Add your volumes:-

27(cube vol.) + 12(pyramid vol.)

= 39 is the volume for this whole solid, your answer is D.

need some help with the question in the image

Cheers​

Answers

2,700 yan po ang answer hehe tama yan

i really need help before 7 am​

Answers

Answer:

A. is 2.

B. is 5.

C. is 1.

D. is 4.

E. is 6.

F. is 3.

Explaination for my answer

Its bascially just rearrange to make x =

i need help with algebra need asap

Answers

In Polish school we calculate in this way. There is one root -6
I hope that I helped you

III NNNNEEEEEEED HHHEEEEEEELLLLLPPPPP!

Answers

Answer:

27 units

Step-by-step explanation:

To find the volume you do length x width x height. 3 x 3 x 3 is 27.

How much is the tax on a $30.00 shirt if the tax rate is 10%?
1. $3.00
2. $8.00
3. $15.00
1. $10.00​

Answers

Answer:

3

Step-by-step explanation:

$30 dollars is the principal.

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.

Cindy puts two different-sized weights on a scale. One size weighs 2 ounces and the other size weighs 5 ounces. All of the weights on the scale
weigh 50 ounces combined.
Create an equation to model a possible number of 2-ounceweights, x, and 5-ounce weights, y, that are on the scale

Answers

Answer: 2x+5y=50

Step-by-step explanation:

x=number of 2-ounce weights

y=number of 5-ounce weights


Because of this you will write the total weight (50) is equal to __. On the other end you will multiply the possible number of 2-ounce weights to 2 because this will give you the weight for the 2 ounce. The same is done for the 5-ounce weights. Once you combine both of them you would get the total weight. Which is why 2x+5y=50 is the answer.

Samantha is creating concrete spheres for a weight-lifting competition. One of the spheres needs to have a weight of 350 pounds. Samantha knows that concrete weighs 150 pounds per cubic foot. What is the radius, in feet, of the sphere that Samantha will create?

Answers

Answer:200

Step-by-step explanation:

Use the quadratic formula to solve the equation: 3x2−6x+1=0

Answers

Answer:

3x2-6x+1=0= 7/6

Step-by-step explanation:

3x2-6x+1=0

-6x=-7

than divide each term in -6x=-7 by -6 and simplify

x= 7/6

Answer:

x = 1.816 and 0.1835

Step-by-step explanation:

See attachment.

Simplify the expression –2(p 4)2 – 3 5p. what is the simplified expression in standard form? –2p2 – 11p – 35 2p2 21p 29 –2p2 13p 13 4p2 37p – 67

Answers

The simplified expression of the provided equation in standard form is -2p²-11p-35. Option 1 is the correct option.

What is the simplified form of an expression?

Simplified form of an expression is the simplest way of expression the term, by applying the required operations of mathematics.

The expression which is need to be simplified is,

[tex]-2(p +4)^2 - 3 +5p[/tex]

First of all, open the brackets, using the formula of whole square,

[tex]-2(p^2 +16+8p) - 3 +5p\\-2p^2-32-16p-3+5p\\-2p^2-11p-35[/tex]

Hence, the simplified expression of the provided equation in standard form is -2p²-11p-35. Option 1 is the correct option.

Learn more about the simplified form here;

https://brainly.com/question/1597694

Answer: A

Step-by-step explanation:

I did it on edge

How do geometric functions differ from algebraic functions?

Answers

Answer:

Geometric function deals with points, lines, varied-dimensional objects and shapes, surfaces, and solids in mathematics Whiles Algebra uses variables, in the forms of letters and symbols, to act as numbers or quantities in equations and formulas.

Which equation describes this line?

Answers

Answer:

y=2x+4

Step-by-step explanation:

**Your line isn't clearly shown on point with the grid**

If you want this in the slope-intercept form then here it is:

Slope-intercept formula: y=mx+b

Your coordinates: (-3,2) and (1,10)

To find the slope (which is the "m" in the formula) you need to do this formula:

y2 - y1 / x2 - x1 =

(The 2's and 1's should be subscript)

10-2/1-(-3) = 8/4

8/4=2

The slope should be 2

Formula right now: y=2x+b

You need to find the y-intercept:

That should be a point on the y-axis.

(0,n) **N is used for a variable since we don't have a number yet.

In your coordinate plane, (0,4) is your y-intercept.

When writing the y-intercept in the formula don't write a coordinate write the "y"

Formula: y=2x+4

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