2. Solve x - 19 <81. Then graph the solution.

Answer:

-12x+28

Step-by-step explanation:

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19NBoli

Answer:

-12x - 7.

Step-by-step explanation:

Hope this helps!

Answer:

19% alcohol solution = 65 ounces

37% alcohol solution = 25 ounces

Step-by-step explanation:

Let

19% alcohol solution = x

37% alcohol solution = y

x + y = 90 (1)

0.19x + 0.37y = 90*0.24

0.19x + 0.37y = 21.60 (2)

from (1)

x = 90 - y

Substitute into (2)

0.19x + 0.37y = 21.60

0.19(90-y) + 0.37y = 21.60

17.1 - 0.19y + 0.37y = 21.60

- 0.19y + 0.37y = 21.60 - 17.1

0.18y = 4.5

y = 4.5/0.18

y = 25 ounces

x + y = 90 (1)

x + 25 = 90

x = 90 - 25

x = 65 ounces

Answer:

10*10/2=50

20^2-10^2=100

10*10/2=50

50+50=100

Step-by-step explanation:

Answer:

90 feet is the total distance,the total time will be the x value of the function's zero

Step-by-step explanation:

Answer:

3 of the pyramids

Step-by-step explanation:

Given:

Hexagonal Prism

Hexagonal based pyramid

Required

How many of the pyramid will fill up the prism

To do this, we start by calculating the volumes of both shapes.

Let V1 be the volume of the hexagonal prism

[tex]V_1 = \frac{3\sqrt{3}}{2}a^2h[/tex]

Where: a = base and h = height

Let V2 be the volume of the hexagonal based pyramid

[tex]V_2 = \frac{\sqrt{3}}{2}a^2h[/tex]

Where: a = base and h = height

The number of the pyramid that can occupy the prism is calculated by dividing V1 by V2

[tex]Number = \frac{V_1}{V_2}[/tex]

[tex]Number = \frac{3\sqrt{3}}{2}a^2h /\frac{\sqrt{3}}{2}a^2h[/tex]

Convert division to multiplication

[tex]Number = \frac{3\sqrt{3}}{2}a^2h * \frac{2}{\sqrt{3}a^2h}[/tex]

[tex]Number = \frac{3\sqrt{3}}{2} * \frac{2}{\sqrt{3}}[/tex]

[tex]Number = \frac{3\sqrt{3}}{1} * \frac{1}{\sqrt{3}}[/tex]

[tex]Number = \frac{3*1}{1} * \frac{1}{1}[/tex]

[tex]Number = 3[/tex]

Answer:

20

Step-by-step explanation:

A period is how long a wavelength takes.

By picking the maximum y point, you look for the X difference between the first maximum and the second one.

NOTE: I may not be reading your graph correctly as the resolution is quite low, but I got it.

Step-by-step explanation:

Let's look at A(x) and see how it is different from f(x)

Therefore A(x) = f(x) - 8

Let's look at B(x) and see how it is different from f(x)

Therefore B(x) = f(x + 7)

Let's look at C(x) and see how it is different from f(x)

Therefore C(x) = f(x - 5) + 4

Let's look at D(x) and see how it is different from f(x)

Therefore D(x) = f(x - 12)

Answer:

$110

Step-by-step explanation:

Answer:

Domain is all real numbers greater than or equal to 7. Range is all real numbers greater than or equal to 9.

Step-by-step explanation:

The domain is possible x-values while the range is possible y-values. This question look like

[tex] \sqrt{x - 7} + 9[/tex]

The domain of square root function cant have a the radical inside being a negative number because we can't take the sqr root of a negative number and graph it on a cartisean plane We can take the sqr root of 0 . So we set x-7=0. And which x=7 so the domain is all real numbers that are equal to or greater than 7. The range of a sqr root function can only yield any positive y-values. So we must find the lowest point of it. Since the lowest x value we can possible use is 7 we plug it in

[tex] \sqrt{7- 7} + 9[/tex]

which equals 9. So the range is all real numbers greater than or equal to 9.

Answer:

I think that the short answer will be C) on edge.

Step-by-step explanation:

Edge 2021.

Answer:

Answer:

A

Step-by-step explanation:

[tex] \sqrt[3]{54x} + 3 \sqrt[3]{2x} = \\ = \sqrt[3]{2x \times 27} + 3 \times \sqrt[3]{2x} \\ = 3 \sqrt[3]{2x} + 3 \sqrt[3]{2x} = 6 \sqrt[3]{2x} [/tex]

Answer:

42 ft²

Step-by-step explanation:

First of all, who makes a hole in this shape?

Anyways,

You're going to want to split the figure into multiple different shapes. We already have a triangle, so I would split the remaining shape into a rectangle and trapezoid.

We can find the area of the triangle easily with the equation 1/2(bh)

So

1/2(2 · 3)

1/2(6)

3

So the triangle is 3 ft²

Now we can find the area of the rectangle.

The measurements will be 3 and 7. It's just base x height so it'll be 21 ft²

Finally the trapezoid.

Base 1: 6

Base 2: 3

Height: 4            (11-7)

Formula: 1/2h (b1 + b2)

1/2 · 4 (6+3)

2(9)

18 ft²

Now just add them together:

3+21+18=42

Hence, your answer is 42 ft²

Answer:

5b + 12c

Step-by-step explanation:

-5a +5 a = 0

12b-7b = 5b

12c= 12c

therefore you have the expression 5b+12c

Answer:

Step-by-step explanation:

If you change the bases to the same number, the exponents must equal each other.

Answer:

no

Step-by-step explanation:

Answer:

Given that The data to represent average test scores for a class of 16 students includes an outlier value of 78.

We can find sum of all 16 test scores = 84(16) = 1344

Outlier found = 78

If outlier is removed new sum = 1344-78 = 1266

Number of entries without outlier = 15

New average = 1266/12 =84.4

We find that average of new data increases.

Also whenever we remove outlier std deviation also would be reduced.

Step-by-step explanation:

Answer:

The mean would decrease.

Step-by-step explanation:

Without the outlier, the mean decreases. The median stays the same with or without the outlier.

Answer: W=25 and L=50

Step-by-step explanation: I first started out with 50, because 50 is half of 100. 50 divided by 2 equals twenty five. Now, I moved on to 100. 100 divided by 2 equals 50. 25+25+50+50=150.

Answer:

The width of the basketball court is 25 feet and the length is 50 feet

Step-by-step explanation:

Equations:

Let's make:

x = width of the basketball court

2x = length of the basketball court

The perimeter of the court is twice the width plus twice the length:

P = 2x + 2(2x)

P = 2x + 4x = 6x

It's known to be 150 feet, thus:

6x = 150

Dividing by 6:

x = 150/6

x = 25 feet

2x = 50 feet

The width of the basketball court is 25 feet and the length is 50 feet

Answer:

The correct answer is 2,502 seats

Step-by-step explanation:

Step-by-step explanation:

9/12 if we divided by 3

6/8 if we divided by 2

hope it helps u

The two fractions when multiplied together make 3/4 are, 1/2 and 3/2.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

The first fraction can be 1/2 when multiplied by the second fraction 3/2.

Therefore,

The two fractions, when multiplied together make 3/4 is (1/2)×(3/2).

= 3/4.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

Answer:

They are both identical cubes which makes it much easier.

Work out the volume for just one first.

The formula for volume is:

l x w x h

However, since it is a cube, all lengths are the same.

3 x 3 x 3 = 27

Now multiply it by 2 to get the volume of both combined:

27 x 2 = 54.

In short, your answer is  54cm 3

Hope This Helps You!

Good Luck :)

Step-by-step explanation:

Answer:

2.5 meters a second

Step-by-step explanation:

Because I said so

Answer:

cube

cuboid

cylindrical

sphere

cone

Answer:

............

Step-by-step explanation:

Thirty five

30+5