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Musya8 [376]
4 years ago
9

1.Which numbers below could be classified as integers? 2.Which number belongs in the shaded portion of the diagram below?

Mathematics
1 answer:
BigorU [14]4 years ago
4 0

Answer:

1). Option (3)

2). Option (D)

Step-by-step explanation:

1). Integers are the numbers which are whole numbers with negative or positive notations.

Integers can't be a fraction or a number with decimal.

Out of the numbers given,

-18 and 4 will be the integers

Option (3) is the correct answer.

2). Shaded portion of the diagram represents the rational numbers excluding integers,

By the definition of the rational numbers, any number which can be written as a fraction is a rational number.

Rational numbers → All numbers given are the rational numbers

Integers → \frac{16}{4}=4, -\frac{30}{5}=6, -\frac{32}{8}=-4

Therefore, only one number \frac{30}{9} will lie in the shaded region.

Option (D) will be the answer.

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It costs a baker 2x + 30 dollars to bake x muffins a day. Each muffin is sold for 5 dollars. How many muffins would the baker ne
Svetradugi [14.3K]

Answer:

X = 10

Step-by-step explanation:

The equation to use would be; 2x + 30 = 5x; because the baker is looking for enough to cover the costs, no more no less.

Then all you have to do is solve for the equation.

2x + 30 = 5x

Subtract 2x from each side

30 = 3x

Divide by 3

10 = x

The baker needs to sell 10 muffins in a day to make enough to cover the revenue.

8 0
3 years ago
Read 2 more answers
Elyse has $18 on a gift card that she can use to rent movies online. The graph at the right shows the amount of money remaining
blsea [12.9K]

Answer:

see the explanation

Step-by-step explanation:

The complete question in the attached figure

Let

x ----> the number of movies

y ----> the amount of money remaining on her gift card

we know that

The slope of the linear equation is equal to the unit rate

take two points from the graph

(0,18) and (2,12)

Find the slope

m=(12-18)/(2-0)

m=(-6)/(2)=-\$3\ per\ movie ---> is negative because is a decreasing function

That means -----> Each movie she rents cost her $3, so her  gift card balance will decrease $3 for every movie rented

The linear equation is equal to

y=-3x+18

For y=0

0=-3x+18

x=6

so

6 is the maximum number of movies that Elyse can rent on line

6 0
4 years ago
Erica sells magazine subscriptions and makes a flat rate of $5.35 for each subscription she sells. if erica made $42.80 on monda
Dovator [93]

Answer:

c. 34

Step-by-step explanation:

1) Add all the given prices on each day.

= 42.80 + 64.20 + 74.90

= 181.90

2) Set up an equation since we do not know how many magazine subscriptions she sold, but we know how much money she made.

Let x = number of magazine subscriptions sold

5.35x = 181.90

x = \frac{181.90}{5.35}

x = 34

4 0
2 years ago
1.
katrin2010 [14]
Point slope and it would be y=2x-5
4 0
3 years ago
PQ has a midpoint of M. the coordinates of M are (-4, 7) and the coordinates of P are (2, 13). What are the coordinates of Q?
Natali5045456 [20]

Using the midpoint formula, the coordinates of Q are: <em>A. (-10, 1)</em>

<h3>What is the Midpoint Formula?</h3>
  • Midpoint formula is given as, M(x, y) = (\frac{x_2 + x_1}{2} , \frac{y_2 + y_1}{2})

Thus, given that:

  • M is the midpoint of PQ.
  • M (-4, 7)
  • P (2, 13).

Therefore:

M(-4, 7) = (\frac{2 + x_1}{2} , \frac{13 + y_1}{2})

Solve for x-coordinate of P:

-4 = 1/2(2 + x1)

2(-4) = 2 + x1

-8 = 2 + x1

-8 - 2 = x1

x1 = -10

Solve for y-coordinate of P:

7 = 1/2(13 + y1)

14 = 13 + y1

y1 = 1

Therefore, using the midpoint formula, the coordinates of Q are: <em>A. (-10, 1)</em>

<em />

Learn more about the midpoint formula on:

brainly.com/question/88621

3 0
3 years ago
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