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2 years ago

Check inequality m> -2

1 answer:

7 0

For this there is a dotted line going through -2 on the graph and the shading is on the right side of the grid so -2,-1, and every positive number.

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A florist has 30 carnations and 42 roses. He wants to put the flowers in vases so that each vase has the same number of flowers

Nesterboy [21]

Note that

30=2·3·5;
42=2·3·7.

Find the grearest common factor GCF(30,42). You can see that numbers 30 and 42 have common factors 2 and 3, then

$GCF(30,42)=2\cdot 3=6.$

This gives that the greatest number of identical vases florist can fill is 6. Each vase will contain

$30:6=5$ carnations;
$42:6=7$ roses.

Therefore, in each vase will be 12 flowers (5 carnations and 7 roses).

4 0

2 years ago

A baker, in 70 minutes, iced 40 cupcakes and, in 49 minutes, iced 28 cupcakes. What is the constant of proportionality?

Zinaida [17]

Answer:

$\frac{4}{7}$

Step-by-step explanation:

The constant of proportionality is the slope of the line joining the two points

(70,40) and (49,28).

Recall the slope formula:

$m = \frac{ y_2 - y_1 }{ x_2 - x_1}$

We substitute the point to get:

$m = \frac{28 - 40}{49 - 70} = \frac{ - 12}{ - 21} = \frac{4}{7}$

<u>Alternatively</u>:

A proportional relation is given by

$y = kx$

where k is the constant of proportionality.

Using any point, we substitute and solve for k.

$40 = 70k$

$k = \frac{40}{70} = \frac{4}{7}$

8 0

2 years ago

What is the midpoint of the coordinate F( -2, 4) and G(6, 1)

Marrrta [24]

Answer:

$\huge\boxed{\left(2; 2\dfrac{1}{2}\right)}$

Step-by-step explanation:

$\text{The formula of a midpoint:}\\\\M\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)\\\\\text{We have the points}\ F(-2,\ 4),\ G(6,\ 1).\\\\\text{Substitute:}\\\\M_{FG}\left(\dfrac{-2+6}{2};\ \dfrac{4+1}{2}\right)\to M_{FG}\left(\dfrac{4}{2};\ \dfrac{5}{2}\right)\to M_{FG}\left(2; 2\dfrac{1}{2}\right)$

6 0

2 years ago

What is 3x 2 2/3 x 1/3

avanturin [10]

Answer:

2.66

Step-by-step explanation:

8 0

2 years ago

(3/5) cubed Please explain to me how you would do this

krek1111 [17]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ It would be done in the same way it would if it was an integer ;

think of it as two separate parts

(3/5)^3 = 3/5 * 3/5 * 3/5

Calculate the top half, then the bottom half and put them together

3 * 3 * 3 = 27

5 * 5 * 5 = 125

Thus, your answer will be 27/125

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

7 0

3 years ago