6. Find the sum of whole number divisible by 3 and lies between 100 and 200.​

Answers

Answer 1

Answer:

4950

Step-by-step explanation:

first find the smallest multiple of 3 thats >100, 3*33=99, so 3*34=102 is the smallest multiple of 3 >100.

next find the greatest multiple of 3 <200, 3*66=198 which is the greatest multiple of 3<200

34-66+1=number of terms=33. then find the average of the terms: 102+198/2=150. 150*33=4950. the answer should be 4950

Answer 2

Answer:

Step-by-step explanation:

The first number in the sequence = 102

The last number = 198

The number of terms =

L = a1 + (n-1)*d

198 = 102 + (n- 1)*3                   Subtract 102

198 - 102 = (n - 1)* 3

96 = (n - 1)*3                             divide by 3

32 = n - 1                                   add 1

33 = n

Sum = (a1 + L ) * n/2

sum = (102+198)*33/2

sum = 300 * 33/2

sum = 150 * 33

sum = 4950


Related Questions

-15 + 8x = x + 3
STEP BY STEP

Answers

[tex] - 15 + 8x = x + 3 \\ 8x - x = 3 + 15 \\ 7x = 18 \\ \\ x = \frac{18}{7} \\ \\ x = 2.571[/tex]

We put the unknown on one side, and the other end is empty of the unknown , When it turns to the other side, its sign changes.

As for the number with the unknown, it becomes the denominator with the number without the unknown.

I hope I helped you^_^

Ella buys eggs and apples at the store.
She pays a total of $44.35.
• She pays a total of $2.95 for the eggs.
• She buys 6 bags of apples that each cost the same amount.
Write and solve an equation which can be used to determine x, how much each bag
of apples costs.
Equation:
Answer: X =
Submit Answer

Answers

Equation: 2.95 + 6x = 44.35

Answer: x = 6.9


Step by step:

2.95 + 6x = 44.35
-2.95 -2.95
6x = 41.4
divided by 6 on both sides
x = 6.9


In Evan's math class, there are 7 boys and 10 girls. Which of the following is the ratio of boys to girls in Evan's math class?​

Answers

Answer:

7/17

Step-by-step explanation:

7 boys and 10 girls. Ratio of boys to girls is 7:10

find the value of xand y : x=2y and x+y=9​

Answers

{x = 2y

{x + y = 9

{x = 2y

{2y + y = 9

{x = 2y

{3y = 9 / : 3

{y = 3

{x = 2 · 3

x = 6 and y = 3

Amanda was given three numbers: 8,
5, and 1. She needs to use two of
these numbers to make a fraction.
Can she make a fraction that is
greater than four-fifths?

Answers

Answer:

Yeah, She can.

Step-by-step explanation:

Simply using 8/5

Hello! Can someone please answer the photo? I honestly forgot about Prime Factorization... No links please and thank you!

Answers

Answer:

D

Step-by-step explanation:

im thinking its d, because prime factorisation is a way of expressing a number as a product of its prime factors.

a isn't correct since 9 isn't is a prime number.

b isn't correct because you wouldn't use decimals typically.

c isn't correct because 1 is not a prime number.

d is the only correct solution since all the numbers listed are prime numbers.

Given P(A) = 0.6 and P(B) = 0.8, do the following. If A and B are independent events, compute P(A and B)

Answers

Answer:

0.48

Step-by-step explanation:

[tex]0.6*0.8 = 0.48[/tex]

Let x = 0.99999....Do you think that x < 1 or x = 1?

Answers

Answer:

x<1

Step-by-step explanation:

why? because is still 0....

What is the differentiation of 2cos2x

Answers

2cos2x=y

dy/dx(2cos2x)=-4sin2x

d/du cosu= u'×cos'u=-u'×sinu

d/du sinu= u'×sin'u= u'×cosu

d/du tanu = u'×(1+tan²u)

d/du cotu = u'×-(1+cot²u)

proof for cosu :

cos2x= 1-2sin²x

or 2cosx²-1

or cos²x-sin²x

we will one of this fro example let's take the first one

d/dx 1-2sin²x=0-2×2(sinx)×cosx=-2sin2x

and we have 2 in the begining so its -4sin2x

Help thank you ………….

Answers

Answer:

The answer is option 1

Step-by-step explanation:

For the linear inequality on the top line of the system, it's saying that the y-value must be greater than or equal to 1.  This is verified by the graph because all y-values that fit the criteria of the linear inequality are shaded.  The graph is also showing for the dotted line that the area is shading all points where, if you subtract an x-value from a y-value, the difference will always be greater than 0.  Note that this does not apply for points ON the line, as it cannot be equal to 0.  This matches with the linear inequality on the bottom line of option 1.

John's bank account was overdrawn. The status of his account was -$112. He did not realize the problem and wrote another check for $22. The bank charged him a $21 fee for being overdrawn.

What was the new status of John's account at this point?

Answers

Answer:

-155

Step-by-step explanation:add them all up together

The new status of John's account at this point is -$155

Using this formula

 New status=(-Account status-Cheque amount)-Bank charges

Let plug in the formula

 New status= (-$112-$22)-$21-

 New status=-$134-$21

 New status=-$155

Inconclusion The new status of John's account at this point is -$155

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Greyson will get a discount on his health insurance if he participates in their weekly step-challenge program and logs 50,000 steps a week. If his monitor calculates each step to be 2 feet, how many miles is he supposed to walk each week?

Answers

Greyson will need to walk "18.94 miles" each week. A complete solution is provided below.

According to the question,

One step's length,

= 2 feet

Total number of steps,

= 50,000

then,

→ The total distance travelled will be:

= [tex]50000\times 2[/tex]

= [tex]100000 \ feet[/tex]

We can say that the relation between feet and miles will be 5280 ft,

= 1 mile

hence,

→  [tex]100000 \ feet = \frac{100000}{5280}[/tex]

                       [tex]=18.94 \ miles[/tex]

Thus the above is the correct answer.

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(65x - 12) angle a
(43x+10) angle b
it’s a vertical angle I just don’t understand.

Answers

u set it up like a equation with variables on both sides and solve it to see if it’s true.

Answer:

x = 1

Step-by-step explanation:

Vertical angles are opposite angles formed by two lines.

Both the angles are equivalent

65x - 12 = 43x + 10

Subtract 43x from both sides

22x - 12 = 10

add 12 from both sides

22x = 22

Divide each side by 22

x = 22/22

x = 1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

MATH
NATION
An art museum has a pentagon-shaped room. When drawn to scale on a coordinate grid, the corners of the room are points A(15,21);
B(8,21); C(8,10); D(13,8); E(19,14.5), shown in feet. The walls are 11 feet high.
The museum is going to paint four of the walls: AB, BC DE, and AE. Assume one gallon of paint is enough to cover 147
square feet
How many gallons of paint should the museum purchase? Enter your answer as a whole number.
12
1

Answers

9514 1404 393

Answer:

  3 gallons

Step-by-step explanation:

When calculations are repetitive, I find it convenient to use a spreadsheet to do them. The formulas used are ...

  distance between points (x1, y1) and (x2, y2) = √((x2-x1)² +(y2-y1)²)

  length of walls to be painted: AB +BC +DE +EA = 34.5 ft

  area of walls to be painted: (length)(11 ft) = 379.3 ft²

  gallons of paint needed: area/(147 ft²/gallon) = 2.6 gal

About 3 gallons of paint are needed to paint 4 walls of the room.

what is 15 times 7/5 compared to 15 equal?

Answers

Answer:

I do not know

Step-by-step explanation:

F(x) = (x-2)(x + 1)
X+1
Which statements describe the end behavior of the graph of the function shown? Check all that apply.
As x,
y1.
As x,y".
As x,y -—-.
As x,y 1.
As x,y.
As x + y -0.

Answers

Answer:

the second and the last one

Step-by-step explanation:

answer was revealed on edg after i took quiz

The option (2) As x → ∞, y → ∞, and option (6) As x → –∞, y → –∞ are correct if the function f(x) = (x - 2)(x + 2)/(x + 1).

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function shown in the picture.

f(x) = (x - 2)(x + 2)/(x + 1)

The above function is a fractional function:

The denominator of the function cannot be zero:

x + 1 ≠ 0

x ≠ -1

From the graph of a function:

If x → ∞, y → ∞

If x → –∞, y → –∞

Thus, the option (2) As x → ∞, y → ∞, and option (6) As x → –∞, y → –∞ are correct if the function f(x) = (x - 2)(x + 2)/(x + 1).

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Subtract. Write your answer in simplest form.
5/- 10/5

Answers

Answer:

-1/10

Step-by-step explanation:

(5/(-10))/5 = -(5/10)/5 = 1/10

(Hopefully this helped you out!)

If , then the ordered pair of f -1(10) = (10, 31) (10, 3) (3, 10)
help asap

Answers

Answer:

B

Step-by-step explanation:

f^(-1) (x) = (x-1)/3

f^(-1) (10) = (10-1)/3 = 3.

Jessica made 2 pounds of fudge. How many -pound servings are in the 2 pounds of fudge?

Answers

Answer:

2

Step-by-step explanation:

2 pounds of fudge ÷ 1 pounds servings = 2 servings

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: 8

Step-by-step explanation:

Helpp
Ok I don’t know how they got 3y-24

Answers

Answer:

y = -5/3x + 3

Step-by-step explanation:

First lets turn the equation from standard form to slope intercept form.

3x - 5y = 1

~Subtract 3x to both sides

-5y = 1 - 3x

~Divide -5 to everything

y = -1/5 + 3/5x

~Reorder

y = 3/5x - 1/5

Now that we have the equation in slope intercept form, we can find the new equation. A perpendicular line will have the opposite reciprocal of the original slope.

3/5x -> -5/3x

Now that we have the slope, we can use the given point to find the y-intercept.

y = -5/3x + b

8 = -5/3(-3) + b

8 = 5 + b

3 = b

Put all the information we solved for into a final equation.

y = -5/3x + 3

Best of Luck!

Find the area of the triangle.

A. 75 km²
B. 107.3 km²
C. 84.3 km²
D. 71.8 km²

Answers

Answer:

A. 75 km²

Step-by-step explanation:

The area of a triangle

A =1/2 ab sin C  where a and b are the lengths of the sides and C is the included angle

A = 1/2 (14)(11) sin (77)

A = 75.0264949885

Evaluate 2(x-4) + 3x - x2 for x = 3.

Answers

Answer:

-2

Step-by-step explanation:

Simply plug 3 into the equation and follow the order of operations.

2(3 - 4) + (3(3)) - (3^2)

2(-1) + (9) - (9)

= -2

2(3+4)+3(3)-3(2)
2(7)+9-6
14+3
=17

Which of the following does not represent a proportional relationship?



A. Zoe earns a base salary of $500 plus 3% commission


B. Dane drove 200 miles at a consistent speed for four hours


C. Water leaks from the faucet at a rate of 1/2 of a liter per hour


D. A recipe for biscuits calls for 3 cups of flour and 1 1/2 teaspoons of baking soda

Answers

Step-by-step explanation:

the correct aanswer is 3 is correct answermark me bbrainleast plz

Answer:

d is the answer

Step-by-step explanation:

mark me as brilliant

Triangle ABC is similar to triangle DEF with a ratio of 3/5 If the difference of their
perimeters is 40 inches, find the perimeter of each triangle.

Answers

9514 1404 393

Answer:

ΔABC -- 60 inchesΔDEF -- 100 inches

Step-by-step explanation:

If P is the perimeter of the larger triangle, then 3/5P will be the perimeter of the smaller one. The difference in perimeters is ...

  P -3/5P = 40 in

  2/5P = 40 in

  P = (5/2)(40 in) = 100 in

  3/5P = 3/5(100 in) = 60 in

The smaller triangle perimeter is 60 in; the larger is 100 in.

i’ll give brainliest pls
i need to finish this quickly, i need part a b and c

Answers

B 54

C 70

I got it right

translate the sentence into an equation five times the sum of a number and 7 is 8

Answers

Answer:

5(n+7)=8

Step-by-step explanation:

You have 10 pounds of egg whites. You need 6 Oz to make one serving of consommé. How many servings can you make?

Answers

Here, we want to solve for the number of servings 10 pounds of egg whites can make

Number of servings 10 pounds of egg whites can make is approximately 27 servings

1 pound = 16 ounce

10 pounds = 160 ounce

Quantity of egg whites available = 10 pounds

Quantity of egg whites per serving = 6 oz

Number of servings 10 pounds can make = Quantity of egg whites available / Quantity of egg whites per serving

Recall,

10 pounds = 160 oz

= 160 oz / 6 oz

= 26.67

Approximately,

27 servings

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When both quantities in a rate are fractions, what strategy
do you use to write the rate as a unit rate?

Answers

write the ratio as a fraction and divide the numerator by the denominator

When both quantities in a rate are fractions, the strategy to write the rate as a unit rate is to divide both the numerator and denominator of the rate by their greatest common factor (GCF) to simplify the fraction.

To write the rate as a unit rate:

1. Identify the rate, which is a fraction with a numerator and a denominator.

2. Find the greatest common factor (GCF) of the numerator and denominator.

3. Divide both the numerator and denominator by the GCF to simplify the fraction.

4. The resulting simplified fraction is the unit rate.

For example, if the rate is 3/6, the GCF of 3 and 6 is 3. Divide both the numerator and denominator by 3:

3/6 ÷ 3/3 = 1/2

So, the unit rate of 3/6 is 1/2.

By converting the rate to a unit rate, we make it easier to compare the rate for a single unit of one quantity to a single unit of the other quantity, making it more convenient for comparison and analysis.

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The set of even natural numbers greater than or equal to 6

Answers

Answer:

{6, 8, 10, 12, 14, 16, 18, 20, ...}

Step-by-step explanation:

even natural numbers >/= 6.

Thus this has no upper limit and the set is thus infinite.

The set of even natural numbers greater than or equal to 6 is

What are the natural numbers?

" The natural numbers are those numbers used for counting and ordering. Numbers used for counting are called cardinal numbers."

We know the natural numbers are:

{1, 2, 3, 4, 5, 6, 7,..........}

Now, the set of even natural numbers are:

{2, 4, 6, 8, 10...........}

Therefore, the set of even natural numbers greater than or equal to 6 is

{6, 8, 10, 12,..............}

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Please help it’s due tomorrow!!

Answers

Answer:

-5/3

Step-by-step explanation:

Answer:

13 + 7/9-5-16

answer : -5/3

use BODMAS to solve this question

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