Mathematics College

How to solve 5 x 198 with the distributive property that includes multiplication and subtraction

Answers

Answer 1

Re-write this problem (5 x 198) as (5)(200-2).

Then the answer is 5(200) - 5(2) = 1000 - 10 = 990.

Answer 2

Answer:

Value of 5×198 is:

990

Step-by-step explanation:

We have to find the value of 5 x 198 with the help of distributive property that includes multiplication and subtraction

Distributive property says that if a,band c are three numbers

then, a(b-c)= ab-ac

5 x 198= 5(200-2)

= 5×200 - 5×2

= 1000-10

= 990

Hence, Value of 5×198 is:

990

Related Questions

What decimal equivalent of 5/6

Answers

divide 5 by 6 to get0.8333 ( the 3 keeps repeating)

If a tire rotates through 250 degrees in 15 seconds, how many degrees does it rotate in 45 seconds?

Answers

Multiply it by three. Look for patterns. 45/15 is 3 therefore the x amount of degrees must be multiplied by three

Find the present value of Php 50,000.00 due in 4 years if money is invested at 12% compounded semi-annually.

Answers

In this case, Php 50,000 money invested for 4 years with 12% rates. If the rate is 12% compounded semi-annually that means it would be 6%/ 6 months. Then the amount of money after 4 years would be:

Php 50,000.00 * (100+6)%^(4 years/ 6 months)=
Php 50,000.00 * 106%^(8)= Php 79,692.40

how many significant digits are in 23,000

Answers

2 ,It is the numbers at the beginning the zeros dont count so you would just count the numbers above 0

please help
An arithmetic sequence has this recursive formula

Answers

the explicit formula is B

Simplify the complex number i^39 as much as possible.

Answers

Answer:

-i

Step-by-step explanation:

i = [tex]\sqrt{-1}[/tex]

[tex]i^{2}[/tex] = - 1

Every [tex]i^{x}[/tex] will be equal to -1, when n is even.

Break apart [tex]i^{39}[/tex] into ([tex]i^{38}[/tex])([tex]i^{1}[/tex])

Since 38 is even, [tex]i^{38}[/tex] will be equal to -1

-1*([tex]i^{1}[/tex]) = -i

To simplify i^39, we must use the cyclical pattern of i's powers, which repeats every four. i^39 simplifies to i^3, which is equal to -i.

To simplify the complex number i^39, we should recognize the cycle of powers of i. Since i represents the square root of -1, the powers of i cycle every four powers:

i = ii^2 = -1i^3 = -ii^4 = 1

To find the equivalent of i^39, we can divide 39 by 4 to get a quotient and a remainder: 39 divided by 4 is 9 with a remainder of 3. This means that i^39 is equivalent to i^3, which is -i.

Which equation has no solution?

4(x + 3) + 2x = 6(x + 2)
5 + 2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)

Answers

4(x+3)+2x=6(x+2) is the right answer

Answer:

B: 5 + 2(3 + 2x) = x + 3(x + 1)

Step-by-step explanation:

Just took it it's correct so leave a like

Brainiest to Response. AP Statistics Help on Hypothesis Testing! I have various AP Stats questions I'd like to check with those who completed this course or knows about p-values, Hypothesis Testing, and alphas. If you've taken the course and can help me with some AP Statistics questions, I'd appreciate it.

Answers

ill give it a shot friend.

0.04 is 1\10 of what

Answers

0.04 is 1/10 of 0.4

hope this helps

Raul and Ruth Are saving for a trip.Raul starts with $350 and saves $15 per week.Ruth starts with $200 and saves $25 per week. When will they have the same amount?

Answers

Develop two linear equations to represent the savings of these two people:
Raul: rl=$350 + $15x
Ruth: rh=$200 + $25x
In both cases, x represents the number of weeks elapsed.

When will these two people have saved up the same amount? Set rl = rh and solve for x, the number of weeks elapsed:

$350 + $15x = $200 + $25x

$150 = $10x gives us x= 15. Their savings will be equal after 15 weeks.

Answer:

Step-by-step explanation:

How are the decimals .009 and .09 related?

Answers

They're related only because they are smaller than .1. They both have 9 and both have at least on zero. They're different though because .09 is a larger number than .009

Answer:

0.09 is ten times of 0.009

Step-by-step explanation:

The two decimals are 0.009 and 0.09

We can rewrite the decimals in the scientific notation.

0.009 = [tex]9\times 10^{-3}[/tex]

And 0.09 = [tex]9\times 10^{-2}[/tex]

Now we divide first decimal 0.09 by 0.009

[tex]\frac{0.09}{0.009}=\frac{9\times 10^{-2} }{9\times 10^{-3} }[/tex]

=[tex]\frac{10^{-2}}{10^{-3}}[/tex]

= [tex]\frac{10^{3} }{10^{2} }=10[/tex]

Therefore, 0.09 is ten times of 0.009

Involves 6 suspects, 6 weapons and 9 rooms. one of each is randomly chosen and the object of the game is to guess the chosen three. how many solutions are possible?

Answers

their would be 21 different solutions for this problem

Answer:

Step-by-step explanation:

in order to lose 1 pounds one, must burn off 3500 calories. To burn off 100 calories you must bicycle at 9 mph for 15 minutes. How long do you have to bicycle at 9 mph to lose 7 ponds?

Answers

To burn off one pound,
100 cal * x = 3500
x= 35
You'll need 35 15 minutes to burn off one pound so, 525 minutes per pound, and you need to lose 7 pounds so,
525*7 = 3675 minutes OR 61.25 hours

Final answer:

The student needs to bicycle for a total of 61.25 hours at 9 mph to lose 7 pounds.

Explanation:

The subject of the question is Mathematics, and it relates to calculating the amount of exercise needed to achieve a certain weight loss goal. The student wants to know how long they must bicycle at 9 mph to lose 7 pounds.

First, we know that to lose 1 pound, one must burn off 3,500 calories. Since 15 minutes of bicycling at 9 mph burns 100 calories, we calculate the time required to burn 3,500 calories (for 1 pound) and then multiply by 7 for the 7 pounds.

To lose 1 pound:
3,500 (calories per pound) / 100 (calories per 15 minutes) = 35 (15 minute sessions to lose 1 pound).

35 sessions * 15 minutes = 525 minutes.

To lose 7 pounds:
525 minutes (to lose 1 pound) * 7 = 3,675 minutes.

3,675 minutes can be converted into hours by dividing by 60 minutes per hour:

3,675 minutes / 60 = 61.25 hours.

Therefore, the student needs to bicycle for a total of 61.25 hours at 9 mph to lose 7 pounds.

You mow your lawn in 5 hours and earn $45. What is your hourly wage?

Answers

first you divide the total with the amount of hours you worked

45/5 = 9

9 is the amount of money you earn per hour

so your answer is $9 per hour

hope this helps

Find the lcm of 6, 5, 3

Answers

Hello There!

6 = 6 12 18 24 30 36
5 = 5 10 15 20 25 30
3 = 3 6 9 12 15 18 21 24 27 30

It would be 30.

Hope This Helps You!
Good Luck :)

The LCM's of 6, 5, and 3. To solve this question, let's list the multiples.

6: 6, 12, 18, 24, 30
5: 5, 10, 15, 20, 25, 30
3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

As you can see, all of the three numbers have a multiple of 30. The LCM of 6, 5, and 3 is 30.

In the 1st generation, there are 4 monkeys on the island.....

Answers

General explicit formula:
[tex]a_n = a_1 (r^{n-1})[/tex]

You are given initial value of 4.
a1 = 4

The rate of growth is it doubles every generation or multiplies by 2.
r = 2

Answer:
[tex]a_n = 4 (2^{n-1})[/tex]

Answer:

you're answer is letter D.

Step-by-step explanation:

One fifth of the employees of Delta Industries, Inc., work in the Southeastern region. If the company employs 252 workers in that region, what is the total number of employees working for the company?

Answers

so, 252 is 1/5 of the total workforce then, the total or whole will then be 5/5 or 1 whole... well, if 252 is 1/5, what's 5/5?

[tex]\bf \begin{array}{ccll} amount&fraction\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 252&\frac{1}{5}\\\\ x&\frac{5}{5} \end{array}\implies \cfrac{252}{x}=\cfrac{\frac{1}{5}}{\frac{5}{5}}\implies \cfrac{252}{x}=\cfrac{\frac{1}{5}}{1}\implies \cfrac{252}{x}=\cfrac{1}{5} \\\\\\ \cfrac{252\cdot 5}{1}=x[/tex]

Final answer:

One fifth of the employees of Delta Industries, Inc., work in the Southeastern region. The total number of employees working for the company is 1260.

Explanation:

If one fifth of the employees of Delta Industries, Inc. work in the Southeastern region, and there are 252 workers in that region, we can find the total number of employees by multiplying 252 by 5.

5 times 252 equals 1260. Therefore, the total number of employees working for the company is 1260.

Prove that if d|m and d|n, then d|(m+n)

Answers

[tex]d\mid m[/tex] means to say there is some [tex]k_1[/tex] such that [tex]m=dk_1[/tex]. Similarly, [tex]d\mid n[/tex] is equivalent to saying there exists [tex]k_2[/te]x such that [tex]n=dk_2[/tex].

Now, [tex]m+n=dk_1+dk_2=d(k_1+k_2)=dk_3[/tex], i.e. there is some [tex]k_3[/tex] such that [tex]m+n[/tex] is a multiple of [tex]d[/tex], i.e. [tex]d\mid(m+n)[/tex].

between which two square roots can u find 3.14

Answers

The square root of 9 is 3
The square root of 16 is 4

Between those square roots lies 3.14

Frances left a 19% tip on a meal, including the tip, it's cost was $27.37. What was the cost of the meal before the tip?

Answers

This is just multiplying and subtracting
So 19% in decimal is 0.19
so 27.37 x 0.19 = 5.2 (If not rounded it is 5.2003)
5.2 - 27.37 = 22.17 (If not rounded 22.167)

Answer:

$22.17

Step-by-step explanation:

Please see attachment. Calculations executed in black ink. Justification explained in green ink. Solution highlighted in blue.

Thank you!

Write 93 11/16 as a decimal

Answers

93 11/16 written as a decimal is 93.6875. Rounded it is approximately 93.7

I hope this helps:)

What is the equilibrium price per DVD?

Answers

The equilibrium referred to here is the dynamic equilibrium. It means that there is a change happening, but the opposite change are equal so they cancel out. So, we can determine the equilibrium price at the point where the demand and supply curve intersect. That would be at the quantity of 60 units. Therefore, the equilibrium price is $10.

How much of a 60% saline solution would you need to add to pure water to create 10 L of a 50% saline solution ?

Answers

so say, we add "x" of the 60% saline solution, now, how much salt is in that solution? now 60% is salt but the rest is something else, but only salt is 60% of "x", or (60/100) * x, or 0.6x.

likewise, for the 10 Liters, if only 50% is salt, then is just (50/100) * 10 or 5.

now... let's check the water whilst we add "y" amount, the water has no salt at all, freshwater for that matter, so, salinity is 0%. or (0/100) * y or 0.

[tex]\bf \begin{array}{lccclll} &\stackrel{liters}{amount}&\stackrel{\textit{\% of salt}}{quantity}&\stackrel{\textit{total salt}}{quantity}\\ &------&------&------\\ \textit{60\% sol'n}&x&0.60&0.6x\\ \textit{pure water}&y&0.00&0y\\ ------&------&------&------\\ mixture&10&0.50&5 \end{array}[/tex]

[tex]\bf \begin{cases} x+y=10\\ 0.6x+0y=5 \end{cases} \\\\\\ 0.6x=5\implies x=\cfrac{5}{0.6}\implies x=\cfrac{25}{3}\implies x=8\frac{1}{3}[/tex]

Marty wants to paint a box. He can choose to use either blue, green, yellow, or black paint. Also, he can style the paint by painting with a brush, a roller, or a sponge. How many different combinations of color and painting method can Marty choose?

Answers

Since there are 3 different ways of painting each color, we have 3+3+3+3=12 (because there are 4 different colors) ways to paint this

Answer:

Step-by-step explanation:

Marty can choose his paint in 4 ways and his style in 3 ways. Thus there are a total of 4x3=12 different combinations he can choose.

Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. how many ways can the letters of wsilutawsiluta be arranged? identify the correct unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.

Answers

The letters wsilutawsiluta have 87178291200 unique combinations. Which we can find via the factorial rule (14x13x12... ect). There are no 14 letter words in english that contain this combination of letters (we can narrow the search by looking for 14 letter words with two W's of which none contain the same combination of letters). Ergo we can conclude the correct unscrambling is more than one word. The letters unscramble to spell 'lawsuit' twice. this is the only correct unscrambling (unless we allow the archaic word williwau). Thus there is a 1 in 87178291200 possibility of randomly unscrambling the letters

At
Euclid Middle School, of the 30 girls who tried out for the lacrosse team, 12
were selected and of the 40 boys who tried out, 16 were selected. Are the ratios of number of students on the
team to number of student trying out the same for both boys and girls? How do you know?

Answers

Since the ratio of girls who tried out to the girls that were accepted is 30/12=2.5 and the ratio of boys who tried out to the boys that were accepted is 40/16=2.5, we know that they are the same because 2.5=2.5

Travis has a savings account that his parents opened for him. It pays 6% annual interest. His uncle also opened an account for him, but it pays 8% annual interest. If there is $500 more in the account that pays 6%, and the total interest from both accounts is $100, how much money is in each of the accounts?

Answers

so let's say the amounts are "a" and "b", at 6% and 8% respectively.

how much is 6% of a? well (6/100) * a, or 0.06a.
how much is 8% of b? well (8/100) * b, or 0.08b.

so hmm whatever "a" and "b" amounts are, we know that their yield is $100, thus 0.06a + 0.08b = 100.

now, there's more money in "a" than in "b", 500 bucks more, so whatever "b" is, we know that a = b + 500.

[tex]\bf \begin{cases} 0.06a+0.08b=100\\ \boxed{a}=b+500\\ ----------\\ 0.06\left( \boxed{b+500} \right)+0.08b=100 \end{cases} \\\\\\ 0.06b+0.08b+30=100\implies 0.02b=70\implies b=\cfrac{70}{0.02} \\\\\\ b=3500[/tex]

how much was deposited in the 6% one? well, a = b + 500.

√32 greater or less than 5.1

Answers

The pie of 32 is 5.6 and then there's 5.1

Your answer will be greater because 5.6 is greater than 5.1.

The difference between 4 and the product of 6x and 40

Answers

Sent a picture of the solution to the problem (s).

Find 10-3 Write the subtraction fact two ways?

Answers

10 - 3 = 7.
Other ways to write it:
3 + 7 = 10.
7 + 3 = 10.

I hope this helps! :>

There are two ways to write the subtraction fact 10 - 3:

10 - 3 = 7

7 + 3 = 10

What are these two ways?

The first way is to simply subtract the two numbers. The second way is to add the two numbers together to get the original number.

Both ways are correct and can be used in different situations. For example, if you are trying to figure out how many apples are left if you have 10 apples and you eat 3, you would use the first way to subtract the two numbers to get 7 apples.

If you are trying to figure out how many apples you need to buy to have 10 apples if you already have 3 apples, you would use the second way to add the two numbers together to get 7 apples.

Find out more on subtraction fact here: https://brainly.com/question/1726293

#SPJ3

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