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?

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[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 ❤

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

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 ™

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.

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

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]

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

Shading should go below the line towards origin

Step-by-step explanation:

x = -12

y = x/2 + 9

y = -12/2 + 9

y = -6 + 9

y = 3

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.

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°

Answer:

560 mm (Answer D)

Step-by-step explanation:

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

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

Answer:

y = -8/3x + 4

Step-by-step explanation:

Answer :-

Option 2

Step by step explanation :-

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

Step-by-step explanation:

if 1425 then the answer is 100

if it's 62.25 then 77 percent

Answer:

Step-by-step explanation:

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

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.

Learn more about divide here:
https://brainly.com/question/15381501
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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

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

9514 1404 393

Answer:

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.

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.

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

Step-by-step explanation:

Answer:

C) 1

Step-by-step explanation:

Its the closest to 1.04

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

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

The responses are as follows;

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.

Learn more here:

https://brainly.com/question/4384761

Answer:

308 miles

Step-by-step explanation:

speed * time = distance

56 * 5.5 = 308

308 miles

Step-by-step explanation:

631/82000×100

=0.8

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Answer:

simple random sample

Step-by-step explanation:

I hope that's it

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)

Answer: 27.6/2.3 = 12 bags of trail mix

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