Determine which choice best shows the distributive property of multiplication.

Question 1 options:

7 × 9 = 9 × 7


7 × (9 + 6) = (7 × 9) + (7 × 6)


7 × (9 × 6) = (7 × 9) × 6


1 × 7 = 7

Answers

Answer 1

Answer: Identify and use the commutative properties for addition and multiplication. Here, the same problem is worked by grouping 5 and 6 first, 5 + 6 = 11. The example below shows how the associative property can be used to simplify. The sum is 14. 7 + 2 + (8.5 + (−3.5)). 7 + 2 + 5. 9 + 5. 14. Group 8.5 and –3.5=5

Step-by-step explanation:

Answer 2

Answer:

7 × (9 + 6) = (7 × 9) + (7 × 6)

Step-by-step explanation:


Related Questions

1) All cars are blue. (2) All pigs have wings. Therefore, (3) All buses have three wheels. Question 2 options: Passes the true premises test and passes the proper form test. Passes the true premises test and fails the proper form test. Fails the true premises test and passes the proper form test. Fails the true premises test and fails the proper form test. None of the above.

Answers

Answer:

Fails the true premises test and fails the proper form test

Explanation:

A valid argument must pass the true premises test and the proper form test.

True premises test checks to see if what the premises is saying is true about the world, example- pigs do not have wings and so the argument fails the true premises test. Proper form test assumes the premises is true and then checks to see if a valid conclusion was drawn based on the premises(even though it might fail the true premises test and may not be true about the world)

A man borrowed $3500 from a bank for 6 months. The bank collected 7-1/2% simple interest on the date of maturity. How much did the man pay for use of the money and what was the amount he repaid the bank on the due date of the note

Answers

Answer:

$3762.50

Step-by-step explanation:

From the problem, we can see our initial loan is 3500. On the return date, the interest of the loan is collected 7.5%. To find out how much the man paid for the loan, we need to find out how much he paid in interest, which is the percentage of the interest converted to a decimal x the initial loan. We get $262.5, and then we need to pay back the interest plus the initial loan we borrowed from the bank, so we need to add those together to get:

$3762.50

7)
Which of the following points would fall on the line produced by the point-slope form equation y - 6 = 7(x + 4) when graphed?


(2, 20)


(-3, 13)


(0, -34)


(-1, 28)

Answers

Answer:

b (-3,13)

Step-by-step explanation:

simplify the equation into slope intercept form (y=mx+b) and then graph it

In the first quadrant you start at (6, 10) and move 6 units right and 4 units down what point will you end up with

Answers

Answer:

(12,6)

Step-by-step explanation:

If you move 6 units right, you get to (12,10). Moving 4 units down takes you to (12,6).

It would be 12,6 I believe

Raul used the steps shown below to solve the equation. In which step did Raul make a mistake?
5x-3(2x+7)=2x+9
Step 1: 5x-6x-21=2x+9
Step 2: -11x-21=2x+9
Step 3: -12x=30
Step 4: x=-30/12

A. Step 1
B. Step 2
C. Step 3
D. Step 4

Answers

I think it’s step 2 or 3 I’m not sur

Answer:The answer is B, step two

Step-by-step explanation:5x-6x equals to -1x

Which pair
angles must be supplementary?
21
5
3 4

Answers

4 and 1

Step-by-step explanation:

Supplementary means the angle is 180 degrees so 4 is the only complete obvious 180 degree angle and 1 just cause i know it can't be 5.

Answer:

C. 4 and 5

I hope I was able to help.

A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are randomly selected as they come off the production line, what is the probability that both are defective (assuming that they are independent)

Answers

Answer:

0.0025 = 0.25% probability that both are defective

Step-by-step explanation:

For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

5 percent of these are defective.

This means that [tex]p = 0.05[/tex]

If two items are randomly selected as they come off the production line, what is the probability that both are defective

This is P(X = 2) when n = 2. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025[/tex]

0.0025 = 0.25% probability that both are defective

11
12
What is that fraction decimal

Answers

Answer:

0.91666666666...

0.9166 I’m not sure if this is correct though

Divide. Reduce the answer to lowest terms. 2/7 • 15/7

Answers

30/49
the fraction cant be reduced so the final answer is just 30/49

Given f(x)= 5x®, what is the domain? O 5

Answers

25 is the answer I think

Answer:

all real numbers (D)

the range is y>= 0 (option B)

Step-by-step explanation:

the question isn't really clear, but assuming that it's f(x)=5x^6, the domain (or at least edge says the domain) is all real numbers. Next is y is greater than or equal to 0

hope this helps and you have a very nice day !! :)

A statistics student has a mean score of 92 in the first 3 tests. Suppose there are a total of 4 tests and all of them have equal weight. You can also assume that there is no extra credit in the last test. What is the best possible final average this student can get

Answers

Answer:

The best possible final average this student can get is 94.

Step-by-step explanation:

The average score is given by the sum of the scores of all tests divided by the number of tests.

In this question:

First three tests: Mean score of 92, so total score of 92*3 = 276

Best possible score, with 4 tests:

In the first three, the total is 276. The best possible score is with a grade of 100 in the fourth test. The score will be:

[tex]M = \frac{276+100}{4} = \frac{376}{4} = 94[/tex]

The best possible final average this student can get is 94.

What is the slope for a linear function that includes the points (2, -1) and (1, 1).
A. 2.
B. -2
C. 1/2
D. -1/2




PLZ HELP HURRY

Answers

B

If you need an explanation let me know!

Y-21<85 help me pls
I don’t get this stuff lol

Answers

Answer:

it is y<106

Step-by-step explanation:

remember to add 85 and 21 together :)

How would I prove KM = HM?
Given that GJ is the perp bisector of HK

Answers

Answer: See step by step

Step-by-step explanation:

Since GJ is the perpendicular bisector of HK it bisects HK and make J the midpoint of HK. Since J  is the midpoint we can construct a congruence statement of  KJ≅JH. Then we know in the diagram Angle MJK= 90°, becuase it form a ⊥ line so it is 90° that also means MHJ forms a 90 ° angles becuase they also form a ⊥ line. So that means KJM≅HJM because of transitive property(a=b, b=c, then a=c). Both triangles also include side MJ, so using the reflexitive property( a=a),They are congruent. Since we proved they have a two congruent sides, with a included angle in between them we can use the SAS theorem (Side-Angle-Side) to prove they are congruent. So ΔKMJ≅ΔHMJ Then KM=HM by CPCTC.

Given: 33 + 6p = 2(p-1) - 3p
Prove: p = -5

Answers

Answer:

Let us prove that p=-5

33+ 6p= 2p-2-3p33+6p= -1p-2 33+7p=-2 7p=-35 p=-5

33 + 6 x -5 = 2(-5 - 1) - 3 x -5

3 = 3

Elizabeth raises chickens and sells the eggs to a local supermarket. The supermarket pays $0.85 for every dozen eggs. How much money could Elizabeth expect to earn in a week if her chickens lay, on average, 51 dozen eggs per week?

Answers

Answer:

On average, Elizabeth will earn $43.35 per week if her chickens lay 51 dozen per week.

Step-by-step explanation:

0.85x

x represents how many dozens

0.85(51) = 43.35

Match each sum or difference with the correct simplified expression.

(x - 5) - (x - 1)

2x - 4

(x - 5) + (x + 1)

2x - 6

(x - 5) - (x + 1)

4.

(x - 5) + (x - 1)

-6

Answers

Answer:

[tex](x-5)-(x-1)=-4[/tex]

[tex]=2x-4[/tex]

[tex](x-5)+(x+1)=-6[/tex]

[tex](x-5)+(x-1)=2x-6[/tex]

Step-by-step explanation:

In each of the expressions we first need to open the brackets and change the sign according to the sign preceding the bracket. After that we perform simple arithmetic to find the result.

[tex](x-5)-(x-1)=x-5-x+1[/tex]

[tex]=-4[/tex]

[tex](x-5)+(x+1)=x-5+x+1[/tex]

[tex]=2x-4[/tex]

[tex](x-5)-(x+1)=x-5-x-1[/tex]

[tex]=-6[/tex]

[tex](x-5)+(x-1)=x-5+x-1[/tex]

[tex]=2x-6[/tex]

The answers are

[tex](x-5)-(x-1)=-4[/tex]

[tex](x-5)+(x+1)=2x-4[/tex]

[tex](x-5)+(x+1)=-6[/tex]

[tex](x-5)+(x-1)=2x-6[/tex]

Answer:

Step-by-step explanation:

I got it right on edge 2022!

Consider the sample space given below.

A die is a cube with six sides on which each side contains one to six dots. Suppose a blue die and a gray die are rolled together, and the numbers of dots that occur face up on each are recorded. The possible outcomes of the sample space S are listed as follows, where in each case the die on the left is blue and the one on the right is gray.


S= {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66}

Write the following event as a set.
The event that the numbers showing face up are the same.
E = ....................?
Compute the probability of E.

Answers

Answer:

1 / 6

Step-by-step explanation:

Probability is a measure of the likelihood of an event to occur. The probability for an event to occur is between 0 and 1.

The Probability of an event occurring is the ratio of the number of event in the sample space to the total number of possible outcomes.

The number of possible outcomes [n(S)] from rolling a blue die and a gray die is 36.

n(S) = 36

Let E be an event that the numbers showing face up are the same.

E = {11, 22, 33, 44, 55, 66}, n(E) = 6

The probability of E = P(E) = number event / number of possible outcomes =

P(E) = n(E) / n(S) = 6 / 36 = 1 / 6

There are 600 members of a sports club.
The ratio of men to women is 2:3
1/4 of the men are under 30 years old
20% of the women are under 30 years old
HOW MANY MEMBERS ARE OVER 30?

Answers

9514 1404 393

Answer:

  468

Step-by-step explanation:

Men:

  (3/4)(2/5)(600) = (6/20)(600) = 6(30) = 180 men over 30

Women:

  (4/5)(3/5)(600) = (12/25)(600) = 48(6) = 288 women over 30

The total number of members over 30 is ...

  180 +288 = 468 . . . members over 30

If there are 52 successful outcomes in a sample with a size of 80, what is the
sample proportion?
A. 0.36
B. 0.72
C. 0.52
D. 0.65

Answers

Answer:

D. 0.65

Step-by-step explanation:

Do 52/80 to get the answer which is D.

What is the value of the 5 in 564,242?

Answers

500,000 is the answer for this

Answer:

500,000

Step-by-step explanation:

the value of 5 in the number 56242 is 500,000 or hundred thousand. to know the value of digit 5 in the number 564242 go to five the digit 5 and write zeroes after it.

have a wonderful  day

An individual is presented with three different glasses of cola, labeled C, D, and P. He is asked to taste all three and then list them in order of preference. Suppose the same cola has actually been put into all three glasses. What is the probability that C is ranked first and D is ranked last?

Answers

Answer and explanation:

Probability = number of favorable outcomes/ total number of outcomes

Since all glasses labelled C, D, and P are all same Cola

Probability that C is ranked first = 1/3

Probability that D is ranked last = 1/3

5. Mai attempted 40 free throws and was successful 25% of them. How many free throws did
she make?

Answers

Answer:

10 were successful

Step-by-step explanation:

40x25%=10

Answer:

10

Step-by-step explanation:

40*.25 = 10

I will give brainiest.

Answers

Answer:

the third one is the answer

Write a division equation that represents the question: how many 3/8s are in 5/4​

Answers

Answer: 1

Step-by-step explanation: 3/8 = 24      5/4= 20


Sam earned $154 washing 7 cars. He earned the same amount for washing each car
Select all the equations that show reasonable estimates for the amount Sam eamed washing each car
A $140 = 7 = $20
B. $190 = 9 = $10
C. $160 = 8=320
D. $150 = 5= $10
E $150 = 3= $50

Answers

Answer:

the answer is A cause you divide 7 by 140 and the answer is 22 so 20 is the closest

What are the angles sizes

Answers

Answers:
(x+2) = 55 degrees

x = 53 degrees

the given is 72 degrees


Explanation:
A triangle always equals 180 degrees. It was given that one of the angle measures is 72 degrees. 180-72=108. Now I need to find the value of x. (x+2)+x=108. Solving this equation I get x=53. Substitute this back into the angle measures and u get the answers as stated above.

The Ice Chalet offers dozens of different beginning ice-skating classes. All of the class names are put into a bucket. The 5 P.M., Monday night, ages 8 to 12, beginning ice-skating class was picked. In that class were 64 girls and 16 boys. Suppose that we are interested in the true proportion of girls, ages 8 to 12, in all beginning ice-skating classes at the Ice Chalet. Assume that the children in the selected class are a random sample of the population.

Required:
Construct a 92% Confidence Interval for the true proportion of girls in the ages 8-12 beginning ice-skating classes at the Ice Chalet.

Answers

Answer:

The answer is "(0.73,0.87)".

Step-by-step explanation:

Given:

number of girls[tex]= 64[/tex]

number of boys[tex]= 16[/tex]

Total number of children[tex]= 64+16= 80[/tex]

So,[tex]n=80[/tex]

Calculating the value of the proportion which is given by girls:

[tex]\hat{p}= \frac{\text{number of girls}}{\text{total number of childrens}}[/tex]

  [tex]=\frac{64}{80}\\\\=\frac{8}{10}\\\\= 0.8[/tex]

Therefore the confidence interval is:  

[tex]\to \hat{p}\pm z_{(1-\frac{\alpha }{2})}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\\to 0.8 \pm 1.75\sqrt{\frac{0.8(1-0.8)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.8(0.2)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.16}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{0.002}\\\\\to 0.8 \pm 1.75 (0.04)\\\\\to 0.8 \pm 0.07\\\\\to (0.73,0.87)[/tex]

[tex]\therefore \\\\\text{The lower confidence limit} = 0.73\\\\\text{The upper confidence limit} = 0.87\\[/tex]

Abe had some sweets.
He gave half of his sweets to Ben.
Ben gave one third of his sweets to Charlie.
Charlie gave one quarter of her sweets to Dawn.
Dawn gave one fifth of her sweets to Eddy.
Eddy received 6 sweets.
How many sweets did Abe have?

Answers


Answer - 720

You would do 6 x 5 = 30 to get how many dawn had
Then you’d do 30 x 4 = 120 to get how many Charlie had
Then you’d do 120 x 3 = 360 to get how many Ben had
Then 360 x 2 = 720 to get the original amount

Have a good day :)

can someone solve this for me please, i really need help

Answers

Answer:

I sorted them by colors: red goes with red, blue with blue, purple with purple and brown with brown :))

Step-by-step explanation:

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