4 plates and 3 cups cost 20.90 dollars. 5 plates and 4 cups cost 26.50 dollars. Each plate costs the same amount as the other plates, and each cup costs the same amount as the other cups. What is the cost of 1 plate? What is the cost of 1 cup?

Answers

Answer 1

Answer:

Hope this helps you understand...

4 Plates And 3 Cups Cost 20.90 Dollars. 5 Plates And 4 Cups Cost 26.50 Dollars. Each Plate Costs The

Related Questions

Please help me out with this question and please explain with steps

Answers

Answer:

6m²-m²+5m-1

Step-by-step explanation:

Polynomial 1 = m³ + 3m² - 18m

Polynomial 2 = 23m - 4m²

Polynomial 3 = 5m³ - 1

(m³+3m²-18m)+(23m-4m²)+(5m³-1)

When adding polynomials, you'll add like terms.

(m³+5m³)+(3m²-4m²)+(-18m+23m)+(-1)

(6m³)+(-m²)+(5m)+(-1)

6m³-m²+5m-1

Given: D is the midpoint of AC, ED = FD, and angle EDA = angle FDC

Prove that: Triangle AED = Triangle CFD

Answers

Answer:

Step-by-step explanation:

Side-Angle-Side postulate (SAS)

There are ΔAED and ΔCFD triangles that are congruent due to the SAS congruence postulate.

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

As per the given question,

D is the midpoint of AC, ED = FD, and angle EDA = angle FDC

In ΔAED and ΔCFD,

Side DE = Side DF

m∠EDA  = m∠FDC

Side AE= Side FC

According to SAS, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.

Thus, both triangles are congruent.

Hence, there are ΔAED and ΔCFD triangles that are congruent due to the SAS congruence postulate.

Learn more about congruent triangles here:

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Given the inequality y<=12x+4, which of the following statements are
correct? Check all that apply.

A. The line should be dashed.

B. Shading should go above the line.

C. The line should be solid.

D. Shading should go below the line.

Answers

Answer:

c)the line should be solid

As per <= sign the line should be solid

Next

Let's isolate x and y

[tex]\\ \sf\longmapsto y\leqslant 12x+4[/tex]

[tex]\\ \sf\longmapsto 12x-y\geqslant 4[/tex]

Put (0,0)

[tex]\\ \sf\longmapsto 0-0\geqslant 4[/tex]

Yes it's true

Shading should go below the line towards origin

The simple interest charged on a 12-month loan of $82,000 is $631. Find the simple interest rate. (Round your answer to one decimal place.)

Answers

Step-by-step explanation:

631/82000×100

=0.8

MARK ME BRAINLIEST PLSS!

THIS QUESTION IS WORTH 20 PTS!!! WILL REWARD BRAINLIEST!!!

Convert the exponential equations into logarithmic form.

Answers

Answer:

[tex] \: [/tex]

1. C = 81 , D = 4

2. E = 625, F = 4

3. G = 10,000 , H = 4

4. J = 0.01 , K = -2

Hope it helps you ™

Who ever solve this first I will give Brainliest to them

Answers

Answer:

9

Step-by-step explanation:

In order to solve this problem, you need to understand how the area of a parallelogram works. If you already know how the area of a parallelogram and the area of a triangle are related, then adding 79 and 10 and subsequently subtracting 72 and 8 to get 9 should make sense

Round to the nearest cent 0.2745 ​

Answers

Round to the nearest:
Ten-thousandths: 0.2745
Thousandths: 0.275
hundredths: 0.27
Tenths: 0.3

1. Which of the following is an example of acceleration? A. 10m/s B. 64km/h/min C. 50 cm2/s2 D. 46 km/h​

Answers

Answer:

i beleive c for the proper answer form is m/s 2 c is the only one to show to square anything. if that's wrong the a but there is no square symbol.

Mrs. King's famous peanut butter cookies call for 1 cup of peanut butter for every 1/2of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?

Answers

2 cups of peanut putter for one cup of oil.

If you randomly select a card from a well-shuffled standard deck of 52 cards, determine the probability that the card you select is not a spade.
A. Write your answer as a simplified fraction.
B. Write your answer as a decimal, rounded to the nearest thousandth.
C. Write your answer as a percent. Round to the nearest tenth of a percent and don't forget to include a percent sign, %, in your answer.

Answers

Answer:

a. 1/13

b. 0.077

c. 7.7

Step-by-step explanation:

a. there are 4 of the 6 in a deck of cards so the probability of taking this cards from the deck of 52 cards is 4/52. Given you 1/13.

A sample in which each element in a population has a equal chance of being selected

Answers

Answer:

simple random sample

Step-by-step explanation:

I hope that's it

WHAT IS 159 DIVIDED BY 3 (ITS NOT HARD PLEASE ANSWER I DON'T HAVE A CACULATER)

Answers

Answer:

Step-by-step explanation:

The asked quotient of 159 divided by 3 is the number 51.

What is divide?

It is the inverse of multiplication, and it is used to find out how many times one number can be divided by another. In mathematics, the division is an arithmetic operation that involves splitting a quantity into equal parts or groups.

Here,
As mentioned in the question, we have to determine the quotient of 159 divided by 3
So let the quotient be y,
y = 159/3
y = 51

Thus, the asked quotient of 159 divided by 3 is number 51.

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A scientist needs 180 milliliters of a 20% acid solution for an experiment. The lab has available a 25% and a 10% solution. How many milliliters of the 25% solution and how many milliliters of the 10% solution should the scientist mix to make the 20% solution

Answers

9514 1404 393

Answer:

120 mL of 25% solution60 mL of 10% solution

Step-by-step explanation:

Let q represent the quantity of 25% solution in the mix. Then 180-q is the quantity of 10% solution. The quantity of acid in the mix is ...

  0.10(180 -q) +0.25(q) = 0.20(180)

  18 +0.15q = 36 . . . . simplify

  0.15q = 18 . . . . . . . . subtract 18

  q = 18/0.15 = 120 . . . . divide by the coefficient of q

  180-q = 60

The scientist should mix 120 mL of 25% solution with 60 mL of 10% solution.

I need help with part a and b please

Answers

Answer:

The total answer should be 38 on the top

Step-by-step explanation:

a) So the first partial quotient would be equal to 30 as 31 x 30 = 930

b) Second partial quotient would be 8 as 31 x 8 = 248

Answer:

0

38

I hope it's help byeeee

Find the value of y for the given value of x.
y = x/2 + 9;x = -12

Answers

Step-by-step explanation:

x = -12

y = x/2 + 9

y = -12/2 + 9

y = -6 + 9

y = 3

Which function has an inverse this is a function?

b(x)=x^2 + 2x

d(x)=-4x

m(x)=-3

p(x)=|x|

Answers

Answer :-

Option 2

Step by step explanation :-

d (x) = -4x has an inverse .

Marie uses 2.3 oz of nuts for each bag of trail mix she makes. She uses 27.6 oz of nuts in all.



How many bags of trail mix does Marie make?



Enter your answer in the box.

bags

Answers

Answer: 27.6/2.3 = 12 bags of trail mix

Step-by-step explanation: Hope this helps :)

A car travels at an average speed of 56 miles per hour how many miles does it travel in 5hrs and 30min

Answers

Answer:

308 miles

Step-by-step explanation:

speed * time = distance

56 * 5.5 = 308

308 miles

Part of a city map is shown. If m 5 = x, which angles also have a measure of x? Select all that apply.
A 1
B 4
C 9
D 12
Thanks!!!

Answers

Answer:

C 9

D 12

Step-by-step explanation:

9 is a corresponding angle to 5 and 12 is an opposite angle to 9

Also by convention, grid lines are at right angles to each other so 5, 6, 7, 8, 9, 10, 11, and 12 are all equal at x = 90°

A microscope shows you an image of an object that is 80 times the object's actual size. Therefore, the scale factor of the enlargement is 80. An insect has a body length of 7 millimeters. What is the body length of the insect under the microscope?

A. 56 millimeters
B. 560 centimeters
C. 5,600 millimeters
D. 560 millimeters

Answers

I believe it’s a but I’m not sure

Answer:

560 mm (Answer D)

Step-by-step explanation:

Multiply the 7 mm measurement by 80; the result is 560 mm (Answer D).

4х = 32
А. x= 9
В. x= 8
с. x= 28
D. х = 128

Answers

Answer:

B

Step-by-step explanation:

Step 1: Divide both sides by 4.

4x/4 = 32/4

4x/4 leaves you with x by itself, and 32/4 is 8. So x = 8

Up arrow, right arrow, down arrow, left arrow, up arrow, right arrow, down arrow, left arrow. What's the conjecture

Answers

Answer:

The correct option is;

If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-arrow (x, -y).

If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-Arrow (-x, y).

Taking the result from the first reflection (x, -y) and applying the second mapping rule will result in (-x, -y), not (y, x), which reflection across the line y = x should give

Step-by-step explanation:

We have that for reflection across the x-axis, (x, y) → (x, -y)

For reflection across the y-axis, (x, y) → (-x, y)

Therefore, given that the pre-image before the reflection across the y-axis is (x, -y), we have;

For reflection across the y-axis, (x, -y) → (-x, -y)

For reflection across the line, y = x, gives (x, y) → (y, x) which is not the same as (-x, -y)

Hello can someone please help me with this

Answers

Answer:

C) 1

Step-by-step explanation:

Its the closest to 1.04

D. Directions: Write the equation for line in any form) for the following points
(0,4) and (-3,12)

Answers

Answer:

y = -8/3x + 4

Step-by-step explanation:

(BEST AND FASTEST GETs BRAINLIEST)Michael works at a furniture store. He makes commission for every piece of furtniture he sells. He sold a couch for $1245 he got a check for $62.25. What was the % of commission he made?

Answers

Step-by-step explanation:

if 1425 then the answer is 100

if it's 62.25 then 77 percent

21.2x+c is equivalent to 5.3(4x-2.6)

Answers

Yooooo what up how u doin ?

[tex]21.2x + c = 5.3(4x - 2.6)[/tex]

[tex]21.2x + c = 21.2 x - 13.78[/tex]

Subtract both sides 21.2x

[tex]21.2x - 21.2x + c = 21.2x - 21.2x - 13.78 \\ [/tex]

[tex]c = - 13.78[/tex]

There u go.... Don't have a good day , Have a great day ❤

Where do I put the parenthesis to make it true?

5 – 6w – 5 – 95 + 2w = –48w – 70

Answers

Answer:

i just stole your points thank you

Step-by-step explanation:

5 – 6w – 5 – 95 + 2w = –48w – 70

-6w + 2w + 48w = -70 -5 + 5 +95

44w = 25

w=25/44

What is the slope-intercept form of an equation of a line that passes through the point (0,-1) and is perpendicular to 5x-y=3?

Answers

Answer:

y = -1/5x - 1

Step-by-step explanation:

Perpendicular lines slopes are negative reciprocals of each other.

Write the given equation in the slope-intercept form: y = mx + b

5x - y = 3

-y = -5x + 3

y = 5x - 3       multiply by -1

The slope of the given line is 5 ( the coefficient of the x-term).

The slope of the new equation will -1/5 (this is the negative reciprocal of 5).

Next find "b"  using y = mx + b, the new slope -1/5 and the point (0, -1)

y = mx + b

-1 = -1/5(0) + b

-1 = 0 + b

-1 = b  

Now write the equation y = -1/5x - 1

Help me please ASAP
!!!!!

Answers

Answer:pretty sure the -4 would be on the right of the seven. And to the left of -1.

Step-by-step explanation:

Can someone please help me on this one ?

You are considering different investment strategies to save for your retirement.
Option 1: You invest $50/ month at a rate of 3.5% APR compounded monthly for 35 years.
Option 2: You invest $150/ quarter at a rate of 4.15% APR compounded monthly for 35 years.
Option 3: You invest $4,000 at a rate of 5.5% APR compounded monthly for 35 years.
Complete the table below and answer the questions below it.
You may use this calculator http://www.mycalculators.com/ca/savecalcm.html to help you.
(Hint: The “Present Value” for options 1 and 2 is 0 while for option 3 it is $4,000.00. Also, the
top radio button in the Contributions box should be selected so that contributions are made at the beginning of the period.)

Table:
Option # | Contributions | Final Balance | Total Interest Earned
1
2
3

1) How did you calculate the contribution for each option? In which option would you
contribute the least?

2) Which option yielded the highest amount at the end of the 35 years and what was the basis of the plan?

3) What is the difference in the principal invested for the highest and lowest final
balances? What is the difference in the interest earned?

4) What plan would you recommend for the largest return on investment? (This means
the most interest for the least amount invested)

5) How does the differing interest rates in each option play into your recommendation?

I would appreciate full feedback! Thank you :)

Answers

Return on investment increases as the interest rate applied, the duration of investment, and the principal invested increases.

The responses are as follows;

1) Total contribution = Single contribution Value × Number of contributions2) Option 23) $-4,0004) Option 35) The higher interest rate increases the return on investment

Reasons:

Option 1: Investment

The present value = 0

The contributions made = $50 monthly

APR of investment = 3.5%

Number of years of investment = 35 years

The contribution = $50 × 12 × 35 = $21,000

Future value (final balance) = $41,230.22

Interest Earned = $41,230.22 - $21,000 = $20,230.22

Option 2: Investment

The present value = 0

The contributions made = $150 per quarter

APR on investment = 4.15%

Number of years of investment = 35 years

The contribution = $150 × 4 × 35 = $21,000

Future value = $47,503.88

Interest Earned = $47,503.88 - $21,100

Option 3: Investment

Present value = $4,000

APR on investment = 5.5%

Number of years of investment = 35 years

The contribution = $4,000

Future value = $27,300.26

Interest Earned = $27,300.26 - $4,000 = $23,300.26

[tex]\begin{array}{|c|c|c|c|}Option \ number&Contributions&Total \ Interest \ Earned&Final \ Balance\\1&\$50&\$20,230.22&\$41,230.22\\2&\$150&\$26,403.88&\$47,503.88\\3& \$4,000 &\$23,300.26 &\$27,300.26 \end{array}\right][/tex]

1) The total contribution is given by the product of the monthly contribution and the number of timer units.

2) The option that yielded the highest amount at the end of 35 years is the option 2.

The basis of the plan is quarterly investment of $150 and an annual interest rate of 4.15% compounded monthly.

3) The principal with the highest final balance is the principal for Option 2. which is 0

The principal that has the lowest final balance is the principal for option 3 which is $4,000

The difference in the principal for the highest and lowest final balances is  

$0 - $4,000  = $-4,000

4) The plan recommended for the largest return on investment is option 2, in which the amount invested increased by more than 600%

5) The higher the interest rate, the higher the return on the amount invested.

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