10. 3(6a); a = 3


11. 5d(4); d = -2


12. (5r)(-2); r = -3


13. 3b(8) + (-2)(7c); b = -2, c = 3


14. -4(3s) + 2(-t); s = ½, t = -3


15. 9(4p) - 2(3q) + p; p = -1, q = 4


16. 7(4g) + 3(5h) + 2 (-3g); g = ½, h =⅓

Answer:

its a right triangle

Step-by-step explanation:

because it has at least one right angle

Answer:

a right because it has kind of a 90 angle

Step-by-step explanation:

Answer:

$2720

Step-by-step explanation:

Given data

Principal=$2000

r= %6

T= 6 years

The expression for the final amount is

A= P(1+rt)

A=2000(1+0.06*6)

A=2000(1+0.36)

A=2000*1.36

A=2720

Hence the amount is $2720

Answer:

8 meters

Step-by-step explanation:

4x2=8

Answer: (0, 10) or 10

Step-by-step explanation:

plug 0 into y

(0) = 1/2x - 5

1/2x - 5 = 0

      + 5 + 5

1/2x = 5

* 2    * 2

x = 10

Answer:

m<RPS = 53 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram shown;

m<QPR + m<RPS = 90

Given that;

m<QPR = x

m<RPS = x+16

Substitute into the formula;

m<QPR + m<RPS = 90

x+x+16 = 90

2x+16 = 90

2x = 90-16

2x = 74

x = 74/2

x = 37degrees

Get m<RPS;

Since m<RPS = x+16

m<RPS = 37 + 16

m<RPS = 53 degrees

Answer:

the opposite of -8 is 8

Step-by-step explanation:

Step-by-step explanation:

[tex] \rm \mapsto \: - ( - ( - 8) \\ \rm \mapsto \: - ( + 8) \\ \rm \mapsto \: - 8[/tex]

Answer:

50.24

Step-by-step explanation:

Area = pi*r^2

r = diameter/2

r = 4

Area = pi*4^2

Area = 3.14*16

Area = 50.24

Answer:

Step-by-step explanation:

The area A of a circle of radius r is A = πr², where π is often approximated by 3.14.

Here, with the circle diameter being 8, we figure the radius to be half that, or 4.

Then the area of this circle is A = (3.14)(4 in)², or

                                                 A  =  50.24 in²

Answer:

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]

Step-by-step explanation:

Your question is poorly formatted (See comment section for complete question)

Given

[tex]x = \{elf, hobbit, human\}[/tex] ---- characters

[tex]n(x) =3[/tex]

[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex] --- tools

[tex]n(y) = 5[/tex]

Required

The probability that your character won't be a hobbit or your tool won't be an umbrella?

First we calculate the probability of choosing a hobbit.

[tex]x = \{elf, hobbit, human\}[/tex]

[tex]n(hobbit) = 1[/tex]

So:

[tex]P(hobit) = \frac{n(hobbit)}{n(x)}[/tex]

[tex]P(hobit) = \frac{1}{3}[/tex]

Using the complement rule, we calculate the probability of not choosing a hobbit

[tex]P(Not\ hobbit) = 1 - P(hobbit)[/tex]

[tex]P(Not\ hobbit) = 1 - \frac{1}{3}[/tex]

[tex]P(Not\ hobbit) =\frac{2}{3}[/tex]

Next, we calculate the probability of choosing an umbrella.

[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex]

[tex]n(Umbrella) = 1[/tex]

So:

[tex]P(Umbrella) = \frac{n(Umbrella)}{n(y)}[/tex]

[tex]P(Umbrella) = \frac{1}{5}[/tex]

Using the complement rule, we calculate the probability of not choosing an umbrella

[tex]P(Not\ Umbrella) = 1 - \P(Umbrella)[/tex]

[tex]P(Not\ Umbrella) = 1 - \frac{1}{5}[/tex]

[tex]P(Not\ Umbrella) = \frac{4}{5}[/tex]

The required probability is calculated using:

[tex]P(A\ or\ B) = P(A) + P(B) - P(A)P(B)[/tex]

In this case;

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = P(Not\ hobbit) + P(Not\ Umbrella) -[/tex] [tex]P(Not\ hobbit)*P(Not\ Umbrella)[/tex]

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{2}{3} * \frac{4}{5}[/tex]

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{8}{15}[/tex]

Take LCM

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{10+12-8}{15}[/tex]

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]

Answer:

The answer is most likely A

Hope this helps if t does please consider giving brainliest

Cya on the next one!

Step-by-step explanation:

Answer:

15% discount

Step-by-step explanation:

1 - (102/120)

1 - 0.85 = 0.15 = 15%

Answer:

I cant remember this

Step-by-step explanation:

i cant remember

Answer:

Hello! answer: 45, 20, 15, 11, 36, 8, and 5

Step-by-step explanation:

Data set I created: 45, 20, 15, 11, 36, 8, and 5

It doesnt matter what the data set is as long as it has 7 numbers added together that equals 140 because 140 ÷ 7 = 20 45 + 20 + 15 + 11 + 36 + 8 + 5 = 140 then divide by how many numbers are in the data set and 140 ÷ 7 = 20 Hope that helps

Answer:

1)

a. 5.29 cm

b. 17.8 m

c. 9.75 in

d. 12 cm

e. 8.31 ft

f. 25.46 m

Step-by-step explanation:

Have a good day :)

Answer:

A

Step-by-step explanation:

Answer:72

Step-by-step explanation: 9x8 =72

Answer:

The product of two integers of opposite signs is equal to the additive inverse of the product of their absolute values.

Step-by-step explanation:

The required boxplot isn't attached, an hypothetical solution is given which could be applied to solve your actual task.

Answer:

Kindly check explanation

Step-by-step explanation:

The median of a dataset plotted on a box and whisker plot can be obtained directly from the plot as the point where a vertical line splits the box. The line inside the box gives the median of the data. The Q3 value which is the upper quartile is depicted on the box and whisker plot as the endpoint of the box. The endpoint of the box gives the upper quartile value for the dataset.

In the scenario above, the median = 29

The upper quartile = 38

Answer:

Company A:

150 x 3 = $450

6/100 x 150 = $9

450 + 9 = $459

Company B:

3.10 x 150 = 465

4/100 x 150 = 6

465 + 6 = $471

Company C:

3.20 x 150 = $480

Now the order (Answer):

A(459), B(471), C(480)

Answer: 2 ounce

Step-by-step explanation:

Given

16 ounce of the box is shared by Sue and Bill

Sue has eaten [tex]\frac{5}{8}[/tex] of the box

Bill has eaten [tex]\frac{1}{4}[/tex] of the box

total cereal eaten by them is

[tex]\Rightarrow \dfrac{5}{8}+\dfrac{1}{4}=\dfrac{5}{8}+\dfrac{2}{8}\\\\\Rightarrow \dfrac{7}{8}[/tex]

So, they have eaten this much of the box. Amount left in the box is

[tex]\Rightarrow 1-\dfrac{7}{8}\\\\\Rightarrow \dfrac{1}{8}[/tex]

In ounce it is

[tex]\Rightarrow 16\times \dfrac{1}{8}\\\\\Rightarrow 2\ \text{ounce}[/tex]

Answer:

The answer is A. x + 5, y - 2

Step-by-step explanation:

The answer is A because you would move the block 5 spaces to the right and 2 spaces down.

Hope this helps!

Answer:

14520

Step-by-step explanation:

Answer:

3(2) - 5 = 1

Step-by-step explanation:

y = 3x - 5

(x, y)

plug x and y in

1 = 3(2) - 5

1 = 6 - 5

1 = 1

true

Answer: 12

Work is provided in the image I attached

Answer:

For example the equation is y=3x+4 ... the slope would be 3

It's the number coming before the x variable

Answer:

$6,139.1

Step-by-step explanation:

Using the compound interest formula;

A = P(1+r)^t

P is the amount invested

A is the amount = $10000

r is the rate = 5%

t is the time = 10years

10000 = P(1+0.05)^10

10000 = P(1.05)^10

10,000 = P(1.6289)

Swap

P(1.6289) = 10,000

P = 10,000/1.6289

P = 6,139.1

Hence I need to invest $6,139.1

Answer:

42 ft

Step-by-step explanation:

body = x

tail = 7x

x + 7x = 48

8x = 48

Divide both sides by 8

x = 6

Tail

7x = 7(6)

7x = 42