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KiRa [710]
3 years ago
11

Roz takes home $1600 each month. She budgets 30% of her paycheck for rent, 20% for food, and 10% for utilities. the remainder is

divided evenly among entertainment, clothes, transportation, savings and chairty. How much money does Roz budget each month for each category?
Mathematics
1 answer:
12345 [234]3 years ago
6 0

Roz has a total $1600 each month. All you need to do is to multiply each percentage to the money she has.

Rent = $1600 (.30) = $480

Food = $1600 (.20) = $320

Utilities = $1600 (.10) = $160

entertainment, clothes, transportation, savings and charity = $1600 [1 – (.3 + .2 + .1)] = $640

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Marty and Ethan both wrote a function, but in different ways.
marishachu [46]

<em><u>Question:</u></em>

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

<em><u>Answer:</u></em>

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

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

<em><u>Given that Marty equation is:</u></em>

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

<em><u>The point slope form is given as:</u></em>

y - y_1 = m(x-x_1)

Where, "m" is the slope of line

On comapring both equations,

m = \frac{1}{3}

<em><u>Ethan wrote a function:</u></em>

Consider any two values from the table we have;

(0, 10) and (2, 10.4)

<em><u>The slope is given by formula:</u></em>

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
4 years ago
Read 2 more answers
Andrew is buying three different colors of tiles for his kitchen floor. he is buying 50 more purple tiles than black tiles, and
lorasvet [3.4K]
- Key -

Black tiles = x
Purple tiles = x+50
Yellow tiles = 5x

-

Total = x + x+50 + 5x = 400
⇒ 7x + 50 = 400
⇒ 7x = 400-50 = 350
⇒ x = 350/7
⇒ x = 50

Black tiles = 50
Purple tiles = 50+50 = 100
Yellow tiles = 5 x 50 = 250
4 0
4 years ago
Can someone help please ? Thanks I’m advance
Pani-rosa [81]

Answer:

f(-3) = 16

Step-by-step explanation:

Given:

f(x) = 2x² + x + 1

Required:

f(-3)

Solution:

Substitute x = -3 into f(x) = 2x² + x + 1

f(-3) = 2(-3)² + (-3) + 1

f(-3) = 2*9 - 3 + 1

f(-3) = 18 - 3 + 1

f(-3) = 16

6 0
3 years ago
Which number line represents the solution to<br><br> W - 2 &lt; 8 ?
Umnica [9.8K]

Answer:

w<10

number -  A

(<) means "open circle to the left."

8 0
3 years ago
en un maratòn participan corredores de todos los continentes 5/6 de los corredores son europeos se sabe que los americanos son l
Marysya12 [62]

Usando proporciones, se encuentra que 400 africanos han participado.

En total, hay x participantes.

\frac{5}{6} de los corredores son europeos, o sea:

E = \frac{5x}{6}

Los americanos son la dècime parte de los europeos, o sea:

Am = \frac{1}{10}E = \frac{5x}{60} = \frac{x}{12}

Los africanos son la quinta parte de los americanos, o sea:

Afr = \frac{1}{5}Am = \frac{x}{60}

En la carrera han inscritos 24 000 participantes, o sea, x = 24000. Por eso, la cantidad de africanos es:

Afr = \frac{x}{60} = \frac{24000}{60} = 400

Para obtener más información sobre las proporciones, puedes visitar a brainly.com/question/24615636

8 0
2 years ago
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