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3 years ago

An adult and 5 children rent a skates. it costs $4 per adult for skates and a total of $16

Mathematics

1 answer:

Elenna [48]3 years ago

3 0

Answer:

$2.20 per child

Step-by-step explanation:

16-4=11

11/5=2.2

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Marty and Ethan both wrote a function, but in different ways.

marishachu [46]

Question:

Marty and Ethan both wrote a function, but in different ways.

Marty

y+3=1/3(x+9)

Ethan

x y

-4 9.2

-2 9.6

0 10

2 10.4

Whose function has the larger slope?

1. Marty’s with a slope of 2/3

2. Ethan’s with a slope of 2/5

3. Marty’s with a slope of 1/3

4. Ethan’s with a slope of 1/5

Answer:

Marty’s with a slope of 1/3 has the larger slope

Solution:

Given that Marty equation is:

$y + 3 = \frac{1}{3}(x+9)$

The point slope form is given as:

$y - y_1 = m(x-x_1)$

Where, "m" is the slope of line

On comapring both equations,

$m = \frac{1}{3}$

Ethan wrote a function:

Consider any two values from the table we have;

(0, 10) and (2, 10.4)

The slope is given by formula:

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

From above two points,

$(x_1, y_1) = (0, 10)\\\\(x_2, y_2) = (2, 10.4)$

Therefore,

$m = \frac{10.4-10}{2-0}\\\\m = \frac{0.4}{2} \\\\m = 0.2$

Thus we get,

$\text{Slope of Ethan} < \text{Slope of Marty}$

Therefore, Marty’s with a slope of 1/3 has the larger slope

4 0

3 years ago

Read 2 more answers

Given α and β are Supplementary. Show the necessary steps.

user100 [1]

Answer:

$\alpha = 108\degree, \: \beta = 72\degree$

Step-by-step explanation:

α and β are Supplementary (given)

$\therefore \alpha + \beta = 180\degree.... (1)$

It is given that:

$\alpha= \frac{3}{2} \beta$

Plugging the value of α in equation (1), we find:

$\frac{3}{2} \beta + \beta = 180\degree$

$\therefore \frac{3+2}{2} \beta = 180\degree$

$\therefore \frac{5}{2} \beta = 180\degree$

$\therefore \beta = 180\degree\times \frac{2}{5}$

$\therefore \beta = 72\degree$

$\implies \alpha= \frac{3}{2} \times 72\degree= 108\degree$

So,

$\alpha = 108\degree, \: \beta = 72\degree$

7 0

2 years ago

What is the value of n in the proportion below n/28 = 4/7

butalik [34]

n is 16

$\frac{n}{28} = \frac{4}{7} \\ n = \frac{4 \times 28}{7} = 16$

good luck

3 0

3 years ago

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I don’t know if I did this right can someone help me pls?

bekas [8.4K]

Using the Pythagorean theorem:

a^2 + 24^2 = 26^2

a^2 + 576 = 676

a^2 = 676 - 576

a^2 = 100

a = SQRT(100)

a = 10

8 0

3 years ago

-2x - 6xy - 3y +7x.....need help bc tomorrow have a test.

murzikaleks [220]

Step-by-step explanation:

-2x - 6xy - 3y + 7x combine like terms

= (-2x + 7x) - 6xy - 3y

= 5x - 6xy - 3y

4 0

2 years ago

Read 2 more answers