Ask question

Ask question

All categories

3 years ago

7

5 plates and 4 cups cost 21.20 dollars. 6 plates and 5 cups cost 25.70 dollars. Each plate costs the same amount as the other pl

ates, each cup costs the same amount as the other cups. What is the cost of one plate? What is the cost of one cup?

1 answer:

Sloan [31]3 years ago

8 0

Roughly one plate and one cup costs about $2.35

You might be interested in

The balcony of an apartment is 4 feet by 7 feet. On a scale drawing of the apartment, the balcony is 0.8 inch by 1.4 inches, and

myrzilka [38]

Answer:

12 by 14 ft.

Step-by-step explanation:

Multiply the scale drawing's dimensions by 5. (Feet)

6 0

3 years ago

Find an equation of the line described. Store the equation in slop-intercept form when possible.

Finger [1]

Answer:

Y = -5

Step-by-step explanation:

The line needs to be parallel to the y-axis, which means it forms a 90° angle with the y-axis. This means the line we are looking for is a straight horizontal line. The line must pass through the point (-7, -5), but we can disregard the x value since we figured out that the line is perfecly horizontal, so it has no x value. The answer we are left with is y = -5, which is a horizontal line across -5 on the y axis.

Hopefully you can understand my explanation :)

6 0

4 years ago

Is 71 a prime number?

olga_2 [115]

Yes 71 is a prime number.

8 0

4 years ago

Two fractions have denominators 4 and 6. Their sum is 19/12

Viefleur [7K]

The value of numerators are 3 and 5

<em><u>Solution:</u></em>

Let the numerators of two fractions be x and y

Two fractions have denominators 4 and 6. Their sum is 19/12

Therefore,

$\frac{x}{4} + \frac{y}{6} = \frac{19}{12}$

Cross multiply L.H.S to get simplified

$\frac{6x+4y}{24} = \frac{19}{12}\\\\6x + 4y = 38 ------- eqn 1$

If the numerators are switched their sum is 7/4

Therefore,

$\frac{y}{4} + \frac{x}{6} = \frac{7}{4}$

On simplification, we get

$\frac{6y + 4x}{24} = \frac{7}{4}\\\\4x + 6y = 42 -------- eqn 2$

<em><u>Solve eqn 1 and eqn 2</u></em>

<em><u>Multiply eqn 1 by 4</u></em>

24x + 16y = 152 --------- eqn 3

Multiply eqn 2 by 6

24x + 36y = 252 ---------- eqn 4

<em><u>Subtract eqn 3 from eqn 4</u></em>

24x + 36y = 252

24x + 16y = 152

( - ) -------------------

20y = 100

<h3>y = 5</h3>

<em><u>Substitute y = 5 in eqn 1</u></em>

6x + 4(5) = 38

6x = 38 - 20

6x = 18

<h3>x = 3</h3>

Thus the value of numerators are 3 and 5

5 0

3 years ago

Which choice represents the simplified exponential expression? (9^7)^4

Artyom0805 [142]

Answer:

$9^{28}$

Step-by-step explanation:

using the rule of exponents

$(a^{m}) ^{n}$ = $a^{mn}$ , then

$(9^7)^{4}$ = $9^{7(4)}$ = $9^{28}$

4 0

2 years ago