Find the area of the figure.
6 in.
6 in.
8 in.
4 in.

Answer:

n = -7

Step-by-step explanation:

Use distributive property:

7n - 32n - 16 = 159

Combine like terms

-25n - 16 = 159

Add 16 to both sides to isolate variable n

-25n = 175

Divide both sides by -25 to isolate variable n

n = -7

Check your work:

7(-7) - 32(-7) - 16 = 159

-49 + 224 - 16 = 159

159 = 159

Answer:

D 56

Step-by-step explanation:

cos x = 5/9

x = 56°

have a great day

Answer:

It costs Laura $ 5,184.86 to heat her house one day.

A 75 watt lightbulb should be around 222 hours to consume a dollar in electricity.

Step-by-step explanation:

Given that a kilowatt hour means 1 kilowatt of electricity used continuously for 1 hr, and the electric utility company in Laura's town charges $ 0.06001 for each kilowatt hour used, and Laura heats her house with three electric heaters that each use 1200 watts, to determine how much does it cost to heat a house in one day and how many hours would a 75 watt lightbulb have to stay on to result in one dollar for electricity charges the following calculations must be performed:

(3 x 1200 x 24) x 0.06001 = X

(3600 x 24) x 0.06001 = X

86400 x 0.06001 = X

5,184.86 = X

Therefore, it costs Laura $ 5,184.86 to heat her house one day.

1 watt = 0.001 kilowatt

75 watt = 0.075 kilowatt

1 / 0.075 = 13.333

1 / 0.06001 = 16,663

13,333 x 16,663 = 222.18

Therefore, a 75 watt lightbulb should be around 222 hours to consume a dollar in electricity.

Answer:

7.5

Step-by-step explanation:

thirty divided by 4 is 7.5 or 7 1/2

Answer:

That might be possible though.

Step-by-step explanation:

If you divide 30 by 7.5, you'll get 4. With any other number, you'll get 3,10,6,5,1, and 30. If you use a decimal, it might be possible it'll give you the answer you wanted.

Answer:

Step-by-step explanation:

Given function:

Here we have:

Answer:

Downloading 28 songs will cost $26.64.

Step-by-step explanation:

Given that a brand-new music service is offering specials on individual song downloads, and the cost is $ 0.74 for each song up to 20 songs per month, and the cost doubles to $ 1.48 per download for any number of downloads over 20, to determine how much would it cost to download 28 songs the following calculation should be performed:

(20 x 0.74) + (8 x 1.48) = X

14.8 + 11.84 = X

26.64 = X

Therefore, downloading 28 songs will cost $ 26.64.

Answer:

B

Step-by-step explanation:

Kinda hard to explain but I'm pretty sure it's B

Answer:

Yes

Step-by-step explanation:

II is already false because Kepa can only go to the theatre if he doesn't have the flu. However, he does, so he cannot go. Then, if Kepa cannot go to the theatre, he will have to finish his computer program. Lastly, if the computer program is finished, Kepa will at least pass the exam.

Answer:

yes, if the computer program he will pass. he shouldn't go to the theatre if he has the flu or not cause hes been sick either way.

Answer:

[tex]x \to f(x)[/tex]

[tex]0.25 \to -1[/tex]

[tex]0.5 \to -0.5[/tex]

[tex]1 \to 0[/tex]

[tex]2 \to 0.5[/tex]

[tex]4 \to 1[/tex]

[tex]8 \to 1.5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = log_4(x)[/tex]

[tex]x = 0.5[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(0.5) = log_4(0.5)[/tex]

Apply law of logarithm

[tex]f(0.5) = \frac{log(0.5)}{log(4)}[/tex]

Using a calculator, we have:

[tex]f(0.5) = -0.5[/tex]

[tex]x = 1[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(1) = log_4(1)[/tex]

Express 1 as 4^0

[tex]f(1) = log_4(4^0)[/tex]

Apply law of logarithm

[tex]f(1) = 0*log_4(4)[/tex]

[tex]f(1) = 0[/tex]

[tex]x = 2[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(2) = log_4(2)[/tex]

Apply law of logarithm

[tex]f(2) = \frac{log(2)}{log(4)}[/tex]

Using a calculator, we have:

[tex]f(2) = 0.5[/tex]

[tex]x = 4[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(4) = log_4(4)[/tex]

[tex]log_a(a) = 1[/tex]

So:

[tex]f(4) = 1[/tex]

[tex]x = 8[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(8) = log_4(8)[/tex]

Apply law of logarithm

[tex]f(8) = \frac{log(8)}{log(4)}[/tex]

Using a calculator, we have:

[tex]f(8) = 1.5[/tex]

So, the complete table is:

[tex]x \to f(x)[/tex]

[tex]0.25 \to -1[/tex]

[tex]0.5 \to -0.5[/tex]

[tex]1 \to 0[/tex]

[tex]2 \to 0.5[/tex]

[tex]4 \to 1[/tex]

[tex]8 \to 1.5[/tex]

Answer:

y=2/3x-13/3

Step-by-step explanation:

this is the equation

Answer:

WT=63

Step-by-step explanation:

[tex] \frac{56}{5 \times x + 3} = \frac{40}{4 \times x - 3} \\ x = 12[/tex]

So

[tex]5 \times x + 3 = 5 \times 12 + 3 = 63[/tex]

Answer:

Answer:

hope this help you. look it once.

Answer:

1. 15.7 in

2. 153.9 cm

Step-by-step explanation:

The circumference of a circle is found by the formula:

C = 2 * pi * r, where r represents the radius.

For the first circle, we substitute in 3.14 for pi and the given radius:

C = 2 * 3.14 * 2.5

C = 15.7 in

However, for the second circle, the diameter is given instead of the radius.

As the radius is just half of the diameter, we can find that it is 24.5 cm.

Substituting the values in, we get:

C = 2 * 3.14 * 24.5

C = 153.86 cm

Rounding to the nearest tenth gives us:

153.9 cm

Make sure to use the correct units for each question.

Answer:

John is 17,

Susan is 14,

and Khalid is 9.

Step-by-step explanation:

a = John's age

b = Susan's age

c = Khalid's age

Let's set our rules from the given information.

a = b + 3

c = b - 5

a + b + c = 40

Now, we can solve for b through substitution.

(b + 3) + b + (b - 5) = 40

3b - 2 = 40

3b = 42

b = 14

So, now that we have Susan's age, we can follow the rules and see if it holds.

17 + 14 + 9 = 40 Viola!

Answer:

Kadence Only

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

y<13/10

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Cuz the form is Ax^2 + bx + c

A = 1 (imaginary)

B = 3

C = 2 (same as y-intercept)

Answer:

2:12

Step-by-step explanation:

The ratio of cups of sugar to cupcakes is equivalent to 1:6.

Given that Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes.

The ratio is the comparison of two quantities. It is generally represented by a fraction.

2 cups of sugar: 12 cupcakes = 2:12

2:12 = 2/12 =1/6 =1:6

So, the ratio of cups of sugar to cupcakes is equivalent to 1:6.

Therefore, the ratio of cups of sugar to cupcakes is equivalent to 1:6.

To get more about ratios visit:

https://brainly.com/question/2328454

Answer:

31.5 units.

Step-by-step explanation:

Area = BC * distance from BC extended to A/2

A to BC extended and the line is vertical from A to BC extended = 7+2 units

A to BC extended and the line is vertical from A to BC extended = 9 units This becomes the height

h = 9 units

BC = 7 units

Area  = 1/2 * h * BC

Area = 1/2 * 9 * 7

Area = 1/2 * 63

Area = 31.5

Answer:

They sold 30 adult tickets and 50 kids tickets.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

x is the number of adult tickets sold

y is the number of kids tickets sold.

80 tickets are sold

This means that [tex]x + y = 80[/tex], or also, [tex]x = 80 - y[/tex]

For a Saturday matinee, adult tickets cost $7.50 and kids under 12 pay only $6.00. Tickets were sold for a total of $525.

This means that:

[tex]7.5x + 6y = 525[/tex]

Since [tex]x = 80 - y[/tex]

[tex]7.5(80 - y) + 6y = 525[/tex]

[tex]600 - 7.5y + 6y = 525[/tex]

[tex]1.5y = 75[/tex]

[tex]y = \frac{75}{1.5} = 50[/tex]

[tex]x = 80 - y = 80 - 50 = 30[/tex]

They sold 30 adult tickets and 50 kids tickets.

Answer:

6g/cm^3

Step-by-step explanation:

The density of the cube would be 6 grams/cm^3. I got this answer by first finding the volume of the cube, 2^3 which gives me 8 cm as the initial volume of the cube. Then, the 48 grams of mass the cube has allows me to divide 48 / 8 which gave me 6. And 6 would be the density of the cube in grams.

Answer: 6g/cm^3

Hope this helps!

Answer:

p = 6 g/cm³

Step-by-step explanation:

Given: cube sides= 2 cm and 48 g

To find: The cube's density

Formula: [tex]{p} \frac{m}{V}[/tex]

Solution: Measure the height, width, and depth of the shipment in inches.

Multiply the three measurements (height x width x depth).

Divide the total cubic inches by 1,728 (the number of cubic inches in a cubic foot).

Divide the weight (in pounds) of the shipment by the total cubic feet.

p = density

m = mass

V = volume

Answer:

X=9.8

Step-by-step explanation:

Sin=opposite/hypotenuse

Sin33=x/18

X=18sin33=9.8

Answer:

c. [tex] \frac{3x + 4}{x^2} [/tex]

Step-by-step explanation:

Given:

[tex] \frac{3}{x} + \frac{4}{x^2} [/tex]

Required:

The sum

Solution:

[tex] \frac{3}{x} + \frac{4}{x^2} [/tex]

Common denominator is x².

Therefore, divide x² by the denominator of each fraction and multiply by each of its denominator.

Thus, we would have:

[tex] \frac{3x + 4}{x^2} [/tex]

Answer:

y = 100x + 200

Step-by-step explanation:

Answer:

the answer is 43%

Step-by-step explanation: The answer is 43 and if you look up on you will find it because i know the answer

Answer:

x = 12

Step-by-step explanation:

<CED = 180 - (9x-8)

= 180 - 9x +8

= 188 - 9x

Angle sum of triangle is 180

.'. (5x-10) + (50) + (180 - 9x +8) = 180

5x -10 + 50 + 188 -9x = 180

-4x = 180 + 10 - 50 - 188

-4x = -48

4x = 48

x = 12

Answer:

A B D

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

hope this helps :))))

Answer: 7.5 miles

Step-by-step explanation:

think of it as a triangle; the bold line is the hypotenuse, or x.

 8   |\   x

      |_\              it's not a good triangle but you get the point

       6

and then get out pythagorean theorem: a^2+b^2=c^2

put the numbers in: 8^2 + 6^2 = x^2

do some math:

64+36=x^2

100=x^2 (and then find square root)

10=x

BUT, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5