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zheka24 [161]
3 years ago
5

Dylan solved an inequality to determine the amount of lemonade, in cups, that fit in a cooler already containing ice and lemon w

edges. His solution is graphed on the number line below.
A number line going from 14 to 22. A closed circle is at 19. Everything to the left of the circle is shaded.

How should the graph be interpreted? Select two options.
at most 19 cups
19 cups or less
more than 19 cups
a minimum of 19 cups
no fewer than 19 cups
Mathematics
2 answers:
dexar [7]3 years ago
8 0

Answer:

A and B

Step-by-step explanation:

Got it right hope this helps

Nookie1986 [14]3 years ago
8 0

Answer:

a and b

Step-by-step explanation:

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By what percent will the fraction change if its numerator is increased by 25% and its denominator is increased by 20%? please an
d1i1m1o1n [39]
<h2>Answer:</h2><h2>The new fraction will chnage by 1.25 : 1.2 ratio, (i.e) = 1.04 %</h2>

Step-by-step explanation:

Let the fraction be represented as \frac{x}{y} where x is the numerator and y is the denominator

Given that numerator will increase by 25 %, = 25% x

   = 0.25 x

Given that denominator will increase by 20 %, = 20% y

   = 0.2 y

The new fraction becomes  = \frac{x + 0.25 x}{y + 0.2 y}

= \frac{1.25 x}{1.2 y}

= (\frac{1.25}{1.2} ) \frac{x}{y}

The new fraction will chnage by 1.25 : 1.2 ratio, (i.e) = 1.04 %

5 0
3 years ago
Which two points satisfy y = -x2 2x 4 and x y = 4?
matrenka [14]
I will assume that the two equations are

1) y = -x^2 +2x + 4 and 2) x +y = 4

subtract 2 from 1 and you get

y -x - y = -x^2 + 2x + 4 - 4

-x = -x^2 +2x

x^2 -x -2x = 0

x^2 - 3x = 0

x(x-3)=0

x=0 and x - 3 =0

x=0 and x = 3

Then y = 4 - x

y = 4 - 0 and y = 4 -3
y = 4 and y =1

Solutions:

Points (0,4) and (3,1)

 



6 0
3 years ago
Combine the following expressions.
Keith_Richards [23]

Answer:

second option

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplifying the radicals

\sqrt{27x^{3} }

= \sqrt{9(3)x^2.x}

= \sqrt{9} × \sqrt{3} × \sqrt{x^2} × \sqrt{x}

= 3 × \sqrt{3} × x × \sqrt{x}

= 3x\sqrt{3x}

-------------------------------

\sqrt{12x^{3} }

= \sqrt{4(3)x^2.x}

= \sqrt{4} × \sqrt{3} × \sqrt{x^2} × \sqrt{x}

= 2 × \sqrt{3} × x × \sqrt{x}

= 2x\sqrt{3x}

---------------------------------------

Thus

3 × 3x\sqrt{3x} - 2 × 2x\sqrt{3x}

= 9x\sqrt{3x} - 4x\sqrt{3x}

= 5x\sqrt{3x}

8 0
3 years ago
In the diagram of right triangle ABC shown below, AB = 14 and AC = 9. What is the measure of angle A to the nearest degree?
olga_2 [115]

This question is incomplete because it lacks the diagram of the right angled triangle. Find attached to this answer the diagram of the right angle triangle.

Answer:

d-50

Step-by-step explanation:

Looking at the attached diagram, the only way to solve for this is the use of the trigonometric function. The trigonometric function to be used is the cosine function.

From the diagram, we are given

Hypotenuse = AB = 14

Adjacent = AC = 9

The measure of angle A to the nearest degree is calculated as:

cos θ = Adjacent / Hypothenuse

cos θ = 9/14

θ = cos -¹ (9/14) or arccos(9/14)

θ = 49.994799115°

To the nearest degree = 50°

Therefore,the measure of angle A to the nearest degree = 50°

7 0
3 years ago
Movie tickets cost $7 for students and $9 for adults. A group of 8 people spent $66 on movie tickets. How many adult tickets wer
VLD [36.1K]
It would be 5 adults.
5 0
4 years ago
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