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3 years ago

13

A ice cream shop offers 5 different flavors of ice cream and 12 different toppings how many choices are possible for a single se

rving of ice cream with one topping
a. 18
b. 22
c. 46
d. 60
PLZ HELP

1 answer:

MAXImum [283]3 years ago

8 0

60 because 5 times 12 equals 60

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Which system of linear inequalities is graphed?

ANEK [815]

To determine the system of inequality that has been graphed, we need to be very smart.

Observe that all the equations are the same.

Also note that all the lines are solid. This should tell you that the inequities should involve.

$\ge \:or\: \le$

Therefore the answer is between option A and B.

So we choose a point in the solution region to discriminate between A and B.

Let us choose the origin since that is easy to evaluate.

We substitute into option A to get.

$y\le 3x-1\:and\: x+ 3y \ge 6$

$0\le 3(0)-1\:and\: 0+ 3(0) \ge 6$

$0\le -1\:and\: 0\ge 6$

The above statements are false

We now substitute into option B

$y\ge 3x-1\:and\: x+ 3y \le 6$

$0\ge 3(0)-1\:and\: 0+ 3(0) \le 6$

$0\ge-1\:and\: 0 \le 6$

Both statements are true, therefore the correct answer is option B.

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4 years ago

Classrooms have a capacity of either 30 or 31 students. If 307 students are assigned to rooms that are to be filled to capacity,

Nana76 [90]

There are now 7 classrooms of 31 and 3 of 30.

<h3>What is liner equation?</h3>

A linear equation in mathematics is an equation that can be written as display style a 1x 1+ldots +a nx n+b=0, where x 1, dots, x n are the variables, and display style b, a 1, ldots, a n are the coefficients, which are frequently real integers.

<h3>According to the given information:</h3>

Madison, we first have to add 30 + 31 = 61.

How many times does 61 go into 307

Five,

because 61 x 5 = 305.

This means there are 5 of each classroom.

We still have two students left over, though, so they will have to be added to two of the 30 rooms,

so there are now 7 classrooms of 31 and 3 of 30.

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2 years ago

What is the perimeter of an equilateral triangle that has a height of 24m?

meriva

Answer:

The perimeter of an equilateral triangle that has a height of 24m is

Option C : 48 square root 3

Step-by-step explanation:

Given:

Height of the triangle =24 m

To Find:

The perimeter of an equilateral triangle = ?

Solution:

Perimeter of the equilateral triangle = 3a

where a is the side of the triangle

Here the height is given as 24 m

Then from the figure

$Sin(60^{\circ}) = \frac{opposite}{hypotenuse}$

$Sin(60^{\circ}) = \frac{24}{x}$

$x = \frac{24}{Sin(30^{\circ})}$

$x= \frac{24}{\frac{\sqrt{3}}{2}}$

$x = \frac{24 \times2}{\sqrt{3}}$

$x = \frac{48}{\sqrt{3}}$

Now

The perimeter is

=> 3x

=> $3 \times \frac{48}{\sqrt{3}}$ -------------------------(1)

Now we know that 3 = $\sqrt{3} \times \sqrt{3}$ --------------------(2)

Substituting (2) in (1)

=> $(\sqrt{3} \times \sqrt{3}) \times \frac{48}{\sqrt{3}}$

=> $48\sqrt{3}$

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3 years ago

Identify the slope and y-intercept of the line x+2y=−2.

Reil [10]

Answer:

slope: -1/2

Y-intercept: -1

Step-by-step explanation:

Get Y by itself by subtracting x on both sides

2y= -x -2

Now divide both sides by 2 to cancel the two connected to the y:

Y = -1/2x -2/2

So y= -1/2x -1

Y=mx+b so m is the slope and b represents the y-intercept

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3 years ago

Kaylee is building a rectangular enclosure with an area of 90 square yards. She

alexgriva [62]

x^2 + 6x = 90

x^2 + 6x + 9 = 90 + 9

(x + 3)(x + 3) = 99

(x + 3)^2 = 99

Answer: B

6 0

3 years ago

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