Question 6
Simplify the following expression.
-3 + 4a - 3b + 2) - 5(2-a + 3b)​

9514 1404 393

Answer:

  B, E, F

Step-by-step explanation:

A. 4x and 5 + x

B. 2b + b and 3b

C. 3x and 3 + x

D. a ÷ 1/3 and 1/3 a

E. a ÷ 1/3 and a × 3

F. 1a and a

_____

Comment on the above

ax is multiplication of x by 'a'. a+x is addition. They are different operations.

x/(1/3) is not the same as x(1/3). Multiplication and division are different operations.

Answer: 21.625

Step-by-step explanation:

The percentage of 21 (5/8)% in decimal form is 173/800.

We have,

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The given percentage expression.

21(5/8) %

Divide by 100 to remove the %.

This can be written as,

21(5/8) / 100

Now,

21(5/8)

= (21 x 8 + 5) / 8

Simply the fraction.

= 173/8

Now,

173/8 / 100

Simplify the fraction.

= 173/800

Thus,

The percentage of 21 (5/8)% in decimal form is 173/800.

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Answer:

46

Step-by-step explanation:

Sum of all the Arcs of a circle = 360.

So, the angle of the 3 arcs is

153 + 115 + x =360

=>268+x=360

=> x = 92

*** x = Arc FG

We know that the inscribed angle is 1/2 times the amount that of the intercepted arc.

=> Inscribed Angle = 1/2 * Intercepted Arc

=>  ? = 1/2* Arc FG

=> ? = 1/2 * 92

=> Angle E = 46

Answer:

He has 244 left

Step-by-step explanation:

18.7% = 0.187

300(0.187) ≈ 56

300 - 56 = 244

9514 1404 393

Answer:

  120

Step-by-step explanation:

The dimension across the front in terms of cubes is ...

  5/3 cm = 5×(1/3 cm) = 5 cubes

The front-to-back dimension in terms of cubes is ...

  4/3 cm = 4×(1/3 cm) = 4 cubes

The height in terms of cubes is ...

  2 cm = 6×(1/3 cm) = 6 cubes

Then the volume in terms of cubes is ...

  V = LWH = 5×4×6 = 120 cubes

It will take 120 cubes to fill the prism.

Answer:

100[tex]\pi[/tex] (or about 314)

Step-by-step explanation:

So it's a circle, meaning that the formula for area is [tex]\pi r^{2}[/tex]. r= diameter divided by 2, so r=10. plug into equation and you get 100[tex]\pi[/tex].

314 is when you round pi to 3.14 and multiply by 100.

Answer:

12 units

Step-by-step explanation:

(-4 , 10)  ;  [tex]x_{1} = -4[/tex]   and  [tex]y_{1} = 10[/tex]

(8 ,10)  ;    [tex]x_{2} = 8[/tex]      and  [tex]y_{2}= 10[/tex]

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

              [tex]= \sqrt{(8-[-4])^{2}+(10-10)^{2}}\\\\=\sqrt{(8+4)^{2}+0}\\\\= \sqrt{12^{2}}\\\\= 12 units[/tex]

Answer

74+2

Step-by-step explanation:

To calculate the probability that customers will buy chocolate ice cream with sprinkles, we need to consider the number of customers who bought chocolate ice cream with sprinkles and divide it by the total number of customers who got sprinkles.

From the information given, 5 customers got sprinkles in total, and out of those 5, 4 customers got chocolate ice cream.

The probability that a customer will buy chocolate ice cream with sprinkles is 4/5 or 0.8.

To calculate the probability that customers with vanilla ice cream also get sprinkles, we need to consider the number of customers who bought vanilla ice cream and got sprinkles, and divide it by the total number of customers who got sprinkles.

From the information given, 5 customers got sprinkles in total, and out of those 5, we do not know how many got vanilla ice cream. Without that specific information, we cannot determine the probability.

From the given information, there is no direct association or connection mentioned between the options of strawberry and sprinkles.

The fact that 2 customers got strawberry ice cream and 5 customers got sprinkles does not indicate any inherent relationship or dependency between these two options.

Each customer's choice of ice cream flavor and the decision to have sprinkles or not can be considered independent choices.

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Answer:

Step-by-step explanation:

the real answer is m=12:))

Answer:

3.125%

0%

Step-by-step explanation:

A regular coin has two sides, meaning that each side has the same probability of landing which is 50%. Therefore, for the game to end exactly on the fifth flip it would need to land 3 times in a row on tails and the last 2 times on heads. Therefore, to get this probability we need to multiply 0.50 (50%) 5 times

0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125 or 3.125%

Now the probability of three heads appearing in a sequence is 0% because after the second head in a row the game will automatically end.

Part(a): The probability that the game ends by flipping exactly five coins is [tex]0.5[/tex]

Part(b):  The probability that three heads appear in the sequence is [tex]0.5[/tex].

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. How likely they are to happen, using it.

Part(a):

The Probability of games ends by flipping exactly five coins is,

[tex]P((TTTHH),(HTTHH),(THTHH),(HHTHH))=(1-p)^3p^2+2(1-p)^2p^3+(1-p)p^4[/tex]

Where [tex]p=P(H)[/tex]

When the coin is fair so the probability is,

[tex]P(H)=\frac{1}{2}[/tex]

P(game ends by flipping exactly five coins)=[tex]\frac{2^2}{2^5} =0.125[/tex]

Part(b):

The Probability of games ends by flipping exactly three heads is,

[tex]\frac{2(1-p)^2p^3}{(1-p)^3p^2+2(1-p)^2p^3+(1-p)p^4}[/tex]

Where [tex]p=P(H)[/tex]

When [tex]p=0.5[/tex] then the above probability is [tex]0.5[/tex]

Learn more about the topic of Probability:

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It's 200.04 dag

blah blah

Answer:

0.240kg

Step-by-step explanation:

the reason for this is because my teacher taught me this:

KHDMDCM

       L

       G

so you would go grams to kilograms and then you would find your answer because 200. +0.04 was the original equation correct so you would move the decimal in 200. back 3 times were you converted it to kilograms and the you would add so what your new equation is 0.200+0.04=0.240kg

Answer:

[tex]\frac{116}{159} = 0.7296[/tex] probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has a graduate degree.

Event B: Has over 10 years of experience.

Out of 469 applicants for a job, 159 have over 10 years of experience and 116 have over 10 years of experience and have a graduate degree.

This means that:

[tex]P(A) = \frac{159}{469}[/tex]

[tex]P(A \cap B) = \frac{116}{469}[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{116}{469}}{\frac{159}{469}} = \frac{116}{159} = 0.7296[/tex]

[tex]\frac{116}{159} = 0.7296[/tex] probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree.

Answer:

1. C   2. E   3. A   4. F   5. D   6. B

Step-by-step explanation:

Answer:

a. is 3

b. is 6

c. is 1

d. is 5

e. is 2

f. is 4

Step-by-step explanation:

Please give brainliest I worked hard on this question for you.

When the circle is filled in it means greater than or equal to or less than or equal to depending on which way its going.

If its hallow it means greater than or less than, again depending on which way its going.

⬇ Hey bud! I really respect you because you need the answer. Anyways, the answer will be down below! :) ⬇

Answer:

0.20(15+x)=6

Step-by-step explanation:

(0.20)(15) + 0.20x = 6

3 + 0.20x = 6

0.20x = 3

x = 3/0.20

x = 15

Rob's Iunch was $15.

Check it:  

15+15=30  

30x0.20=6

Please mark be brainliest once a second person answers! As I'm trying to move up to Genius and recover my points and brainliest's! It will always be appreciated. If you need any help comment down below so I can help you! Have a great day! :D

Answer:

4050 cubic feet.

Step-by-step explanation:

Let's first find the volume of the green cube. It is the edge length cubed, or 15^3 which equals 3375.

Now, let's find the volume of the brown pyramid on the cube. To find the volume, multiply the  base of the pyramid by the height, then divide by 3.

Using the edge length of 15, we can find that the square is 15^2 which equals 225.

Multiply 225 by the height 9,

225*9=2025

Then divide by 3.

2025/3=675.

Knowing the volume of the green cube, 3375, and the volume of the brown pyramid, 675, we can find that the volume of the entire figure is

3375 +675=4050 cubic feet.

Answer:

Im not so sure about the answers that i picked if you want to use them use them

Step-by-step explanation:

y=13-2x^2

y=x+7

2=y + x^5

Step-by-step explanation:

since it's negative it'll give you a different answer:)

Answer:

4(2 on top) + 3(2 on top) + 2(2 on top)

Step-by-step explanation:

Answer:

3.14, radius of this circle is 1 and 1^2 is 1 and 1x3.14 is 3.14

Step-by-step explanation:

Answer:

Option D vertical angles is your answer ☺️☺️

Answer:

Vertical angles

Step-by-step explanation:

∠WTU and ∠STZ are opposite each other; hence they are vertical angles.

Answer:

No, it is not a valid way

Step-by-step explanation:

Required

Is Susie's method valid?

Susie's method worked because 4 & 7 and 3 & 5 do not have a common factor.

In other words, Susie's method will not work when the two numbers have a common factor.

Take for instance, the LCM of 2 and 4.

Using Susie's method, the LCM will be 8 (i.e. 2 * 4) whereas the LCM is 4.

Answer:

700

Step-by-step explanation:

4girls=5boys

560girls=?

560*5/4

=700boys

Answer:

x=158

Step-by-step explanation:

109=-x+267

-267     -267

-158=-x

x=158

(also i noticed part of your question says x=(?)*5 and 31.6*5 is 158 so that would be 31.6)