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A gym charges a membership fee plus an additional fee per yoga class. The table shows the linear relationship between the number

tatuchka [14]

Answer: A the additional fee per yoga class is 3.75

7 0

3 years ago

What is the 15% service tip on a $25.50 dinner in a restraunt

Nadya [2.5K]

$15 \% \ of 25.50 \$=\frac{15}{100}* 25.50=\\ \\ =\frac{3}{20}*25.50= 3*1.275=\boxed{3.825 \$-the \ tip}$

8 0

4 years ago

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Flori’s Flower shop contains fewer than 150 flowers. All the flowers are purple, yellow, red or white. The ratio of purple flowe

alexgriva [62]

Flori's Flower Shop have 48 white flowers, 40 red flowers, 30 yellow flowers and 15 purple flowers, whose sum equals 133 flowers, which is fewer than 150 flowers.

<h3>How to determine the quantity of flowers in a flower shop</h3>

Flori's Flower shop owns a quantity less than 150 flowers, in which there are four kinds of flowers according to color: (purple - p, yellow - y, red - r, white - w), each variable represents positive integers. Now we proceed to construct the system of equation that describes the situation:

z < 150 (1)

p + y + r + w = z (2)

p = y/2 (3)

y = 3 · r/4 (4)

r = 5 · w/6 (5)

By (1) and (3) in (2):

y/2 + y + r + w < 150

By (4):

3 · y/2 + r + w < 150

9 · r/8 + r + w < 150

17 · r/8 + w < 150

By (5):

85 · w/48 + w < 150

133 · w/48 < 150

133 · w < 7200

w < 54.135

Now we assume that w = 48, then we have the following solution for the flower shop: r = 40, y = 30, p = 15.

Flori's Flower Shop have 48 white flowers, 40 red flowers, 30 yellow flowers and 15 purple flowers, whose sum equals 133 flowers, which is fewer than 150 flowers. $\blacksquare$