How can we use the distributive property to find an expression equivalent to 4(5−3x)
? Place the steps in order.

1. First, divide both sides of the equation by 4.

1÷4 x³/4 = –27/4/4

2. Next, on the left side of the equation, use inverse operations to get rid of the division. This will give us x³ = –27.

3. Then, to solve for x, take the cube root of both sides of the equation.

Cube root of x³ = cube root of –27

4. To check your answer, plug in -3 for x in the original equation and solve.

1÷4 x³ = –27/4

1÷4 (-3)³ = –27/4

1÷4 (-27) = –27/4

1 = 1

Since 1 = 1, the answer checks out.

Therefore, the solution to the equation is x = -3.

Answer:

-3,     3+3i[tex]\sqrt{3}[/tex]/2,     3-3i[tex]\sqrt{3}[/tex]/2

Well, according to the info here, they would have made 40 dollars a day during the 12-day time frame.

120/3= 40. ANSWER

240/7=34.28

500/13=38.46

960/22=43.63

this is your answer.

Answer:

decrease

Step-by-step explanation:

this graph is showing a decorative response to whatever content.

Answer:

75 cm^3

Step-by-step explanation:

The small prism is 3x smaller than the large prism (look at lengths given).

Thus, as the surface area of the small prism is 25 cm^3 the larger prism will be 3x as much surface area.

25 x 3 = 75

Therefore, the surface area will be 75 cm^3.

Answer: 225

Step-by-step explanation:

9 x 25 I believe I’m so sorry if it’s wrong but the s2 should be the long side

ANSWER:divide 20/5, 25/3, 100/9 those answers are: 4, 8.3, 11.1. All we really need is 100/9=11.1 because it wants a percent so the answer is 11.1%

The statement that is false on Jose drawing cards from the deck is B. For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has picked so far.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

Jose draws a card from a deck replaces it and draws again he records a number of times he draws an ace. He decides to record the total number of aces that he selects and calculates the proportion of aces that he has selected so far after each pick. He then constructs a graph to visualize his results.

as the graph can not be used:

Jose only recorded the number of aces he selected, not the number of diamonds. Therefore, we cannot use his graph to find the number of diamonds he picked.

However, if we were to use the graph to find the number of aces that Jose has picked so far, then we would be successful. The other statements are true as Jose recorded the cards he took and the cards were replaced after each pick.

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The full question is:

Jose draws a card from a deck replaces it and draws again he records a number of times he draws an ace. He decides to record the total number of aces that he selects and calculates the proportion of aces that he has selected so far after each pick. He then constructs a graph to visualize his results. Which of the following statements is FALSE?

A. The theoretical probability for selecting an in each pick is 1 / 13.

B. For a given number of selections, we can use Jose's graph to find the number of diamonds that he has picked so far.

C. This is an example of the law of large numbers.

D. The relative frequency of selecting an ace changes with the increase in number of selections.

Answer: Answer:

Step-by-step explanation: Step-by-step explanation:

Answer:

so u take 4/12 and do it to 1/3 then try to do lest to greatest

Step-by-step expla

2/3 5/6 1/2 1/3 try

Answer:x=9689

Step-by-step explanation:based on given conitions,formulate:13205+x=22894

Answer:

12,955 + x = 24,894

x = 11,939

Answer:

266

Step-by-step explanation:

Therefore, the answer to what divided by 7 equals 38 is 266. You can prove this by taking 266 and dividing it by 7, and you will see that the answer is 38. Tip: For future reference, when you are presented with a problem like "What divided by 7 equals 38?", all you have to do is multiply the two known numbers together.

The answer to your problem will be 266.

Answer:

Step 1: Subtract 1265 from 4254 to get the number if words he still needs to type; 2,989

Step 2: Divide 2,989 words by 20 words/minute; 149.45 minutes.

Answer:

the coordinates of the image D are (-1, 4)

Step-by-step explanation:

To find the coordinates of the image D, we need to apply the dilation transformation centered at R(-3, 5). Let the scale factor be k.

The x-coordinate of D will be shifted k times the distance between 1 and -3, which is 4 units, from the x-coordinate of R, which is -3. So we have:

0.5 = -3 + k(4)

Solving for k, we get:

k = 1.375

Similarly, the y-coordinate of D will be shifted k times the distance between 3 and 5, which is 2 units, from the y-coordinate of R, which is 5. So we have

R: (x, y) = (-3, 5)

D: (x, y) = (-3 + 1.375(1 - (-3)), 5 + 1.375(3 - 5))

D: (x, y) = (-1, 4)

Therefore, the coordinates of the image D are (-1, 4), which is option D.

Answer:

Step-by-step explanation:

two

Answer:

View the image above

Step-by-step explanation:

Distance = 60 miles per hour

Time = ?

Distance = 150

Time = 2/120 × 150 = 2.5

Solve the rest!

Have a nice day!!!

Answer: $158

Step-by-step explanation:

$16(8) + $24(1 ¼) = $128 + $30 = $158

Rita earned a Total of $196 for the time she worked on Monday.

To determine how much money Rita earned for the time she worked on Monday, we need to calculate her earnings for each portion of the day separately.

1. From 8:00 a.m. to 12:00 p.m. (4 hours):

Rita worked for 4 hours within the first 8 hours, so she earns her regular rate of $16 per hour for this time:

Earnings = 4 hours * $16/hour = $64.

2. From 12:30 p.m. to 6:00 p.m. (5.5 hours):

Rita worked for 5.5 hours beyond the initial 8 hours, so she earns 1.5 times her regular rate for each of these hours:

Earnings = 5.5 hours * ($16/hour * 1.5) = $132.

Now, we can sum up Rita's earnings for both periods:

Total earnings = Earnings from the first period + Earnings from the second period

Total earnings = $64 + $132

Total earnings = $196.

Therefore, Rita earned a total of $196 for the time she worked on Monday.

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Answer:144

Step-by-step explanation:

When area is dilated you have to multiply the dialation factor by itself, in this case (12 x 12)

The translation used to create the image include the following: A. 5 units down.

In Mathematics and Geometry, the translation of a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image;

g(x) = f(x + N)

Conversely, the translation a geometric figure downward simply means subtracting a digit from the value on the positive y-coordinate (y-axis) of the pre-image; g(x) = f(x) - N.

Based on the information provided, we have:

(x, y)                               →                  (x + h, y + k)

(1, -1)                              →                   (1, -6).

1 + h = 1

h = 1 - 1

h = 0

-1 + k = -6

k = -6 + 1

k = -5.

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Answer:

To find the unit rate, we divide the total cost by the total number of ounces:

Unit rate = total cost ÷ total number of ounces

Unit rate = $3.79 ÷ 19.5 ounces

Unit rate = $0.194 per oz.

Rounding to the nearest cent, the unit rate is $0.19 per oz.

Step-by-step explanation:

ABOVE

B. A Bowling ball

3 kilograms is approximately 7 pounds, the weight of most Bowling balls

B. A Bowling ball

Step-by-step explanation:

Options A and D are most likely to weigh more than 3kg and option C will most likely weigh less but option B can weigh up to 3kg

Answer:

1: 4.5 cups of flour

2: 12.125 ft of rope

3: 68.5 inches above ground

4: 21.3333..... ounces of water

5: 2.5 ft below the surface

Step-by-step explanation:

1: 8.25-3.75=4.5

2: 15.5-3.375=12.125

3: 92.75-24.25=68.5

4: (259÷12)-.25=21.33333.....

5: 5.75-3.25=2.5

Answer:

235

Step-by-step explanation:

Answer:

for a: small=17% medium=38% large=33% extra large=13%

Step-by-step explanation:

Answers:

1a: The first tree diagram is H - 1, H - 2, H -3, H - 4
     The second tree diagram is T - 1, T- 2, T - 3, T - 4

1b: H,1 ║ H,2 ║ H,3 ║ H,4
     T,1 ║ T,2 ║ T,3 ║ T,4

1c: ║≡≡║   1  ║   2  ║   3  ║  4  ║
    ║ H ║ H1 ║ H2 ║ H3 ║ H4 ║
    ║ T  ║ T1 ║ T2  ║ T3 ║ T4 ║

1d: There are 8 possible outcomes for tossing a coin and choosing a card
     from a deck that has the numbers 1-4.

Hope this helps. I couldn't make a tree diagram. The list and the table are both wonky. Sorry for that, I'll also add a picture with the answers directly on the sheet :)