1) 6,875 28
In the problem above,
(estimate: 6,875 28 as 6,000 + 30 = 200).
After the first digit is placed in the hundreds place in the quotient and students have
divided, multiplied, subtracted, and compared, the student should bring down the 7.
Now, estimate 1270 28 and perform a second division (repeat).
1,270 28 is estimated as 1,200 + 30 = 40.
Students then divide, multiply, subtract, and compare the remainder to the divisor,
making sure it is smaller.
Finally, perform 115 -28, by estimating, dividing, multiplying, subtracting, and
comparing
After writing the remainder in the quotient, the division is complete.
What is the Quotient? Answer:

The value of a for the equation of line CD are;

Given the following data:

a) C(5, -2), D(-4, a); m = 0

To find the value of a;

Mathematically, the slope (m) of an equation of line is given by the formula;

[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substituting the values into the formula, we have;

[tex]0 = \frac{a - [-2]}{-4 - 5}\\\\0 = \frac{a\; + \;2}{-9}[/tex]

Cross-multiplying, we have;

[tex]-9[/tex] × [tex]0[/tex] = [tex]a + 2[/tex]

[tex]a +2 = 0[/tex]

a = -2

b) C(a, -1), D(-3, 2); m = undefined

To find the value of a;

Note: Undefined is a terminology used to refer to a mathematical expression that has not been assigned a value or isn't correct. Also, a mathematical expression is considered to be undefined when its denominator is zero (0) i.e it is divided by zero (0).

Substituting the given values into the slope formula, we have;

Undefined [tex]= \frac{2 - [-1]}{-3 - a}[/tex]

Undefined [tex]= \frac{2 + 1}{-3 - a}[/tex]

Next, we would equate the denominator to zero (0);

[tex]-3 - a = 0[/tex]

a = -3

c) C(-3, -2), D(1, a); m = 2

Substituting the values into the formula, we have;

[tex]2 = \frac{a - [-2]}{1 - [-3]}\\\\2 = \frac{a\; + \;2}{1 \;+ \;3}\\\\2 = \frac{a\; + \;2}{4}[/tex]

Cross-multiplying, we have;

[tex]4[/tex] × [tex]2[/tex] = [tex]a + 2[/tex]

[tex]a +2 = 8[/tex]

[tex]a = 8 -2[/tex]

a = 6

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Answer:

491,800!

Step-by-step explanation:

Rounding 491,778 to the nearest hundred we get 491,800 as our answer.

Given,

491,778

We need to round 491,778 to the nearest hundred.

The different place value is given below:
Example: 468975

4 - hundred thousands

6 - ten thousands

8 - thousands

9 - hundreds

7 - tens

5 - ones

Which number 491,778 is in the hundred place value.

= The number 7 in 491,778 is in the hundred place value.

Round 491.778 to its nearest hundreds.

= 491,778

Since 7 is in the hundred place value we need to round 778 to its nearest hundred.

It is either 700 or 800.

Since 778 is greater than or equal to 750.

We will round it to 800.

491,800 is our answer.

Thus rounding 491,778 to the nearest hundred we get 491,800 as our answer.

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The line segment HI has length 3x - 5, and IJ has length x - 1.

We're told that HJ has length 7x - 27.

The segment HJ is made up by connecting the segments HI and IJ, so the length of HJ is equal to the sum of the lengths of HI and IJ.

This means we have

7x - 27 = (3x - 5) + (x - 1)

Solve for x :

7x - 27 = (3x + x) + (-5 - 1)

7x - 27 = 4x - 6

7x - 4x = 27 - 6

3x = 21

x = 21/3

x = 7

Answer:

K 2

J 4

Step-by-step explanation:

Solved it as an equation 2 x+x=6

x= number of miles Katie drives

Answer:

The answer im pretty sure is 5.33 inches of water.

Step-by-step explanation:

Answer:

1891 empty seats.

Step-by-step explanation:

for night 1: 4000- 3159= 841.

for night 2: 4000- 2950= 1050.

1050+841= 1891.

there were 1891 empty seats for the two nights.

Answer:

The Pool should be 10 feet wider

Step-by-step explanation:

The rectangngle shaped pool will have 4 sides...

If the Pool is 60 feet long then 120 feet should be covered by Tiles.

so only Tiles of 20 feet are left...

Hence the border will be 10 on one side and 10 on the other side

The Pool should be 10 feet wider

The rectangle-shaped pool will have 4 sides

In the case when the Pool is 60 feet long then 120 feet should be covered by Tiles.

Thus,  only Tiles of 20 feet are left...

Therefore,  

Hence the border will be 10 on one side and 10 on the other side

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Answer:

(a) $52

(b) $2500

(c) $5000

Step-by-step explanation:

(a) y = 100 - 0.02x

x = 2400

y = 100 - 0.02(2400)

y = 100 - 48

y = 52

$52

(b) 50 = 100 - 0.02x

-50 = -0.02x

x = 2500

$2500

(c) 0 = 100 - 0.02x

0.02x = 100

x = 5000

$5000

Answer:

im about 90% sure its 32

Step-by-step explanation:

Answer:

The number of girls are 90 girls

The number of boys are 125 boys

The number of adults are 20 adults

There are 90 girls, 125 boys and 20 adults at the camp

Step-by-step explanation:

The total number of people is given as 235 people

The number of boys = 35 + The number of girls

The number of adults = The number of girls - 70

Let the total number of girls = G

Therefore, we have;

The number of boys = 35 + G

The number of adults = G - 70

The total number of persons = The number of boys + The number of adults  +  The number of girls

Therefore;

235 = The number of boys + The number of adults  +  The number of girls

Which gives;

235 = 35 + G + G - 70 + G = 3·G - 35

235 = 3·G - 35

3·G - 35 = 235

3·G = 235 + 35  = 270

G = 270/3 = 90

The number of girls = 90

The number of boys = 35 + The number of girls = 35 + 90 = 125

The number of boys =  125

The number of adults = The number of girls - 70 = 90 - 70 = 20

The number of adults = 20.

Answer:

There are 90 girls, 125 boys, and 20 adults.

Step-by-step explanation:

Let x be the number of girls. How many boys were there?

x + 35

How many adults were there?

x - 70

We know that 235 people are at RSM summer camp. Use this to make an equation.

x + (x + 35) + (x - 70) = 235

x + x + 35 + x - 70 = 235

3x - 35 = 235

3x - 35 + 35 = 235 + 35

3x = 270

3x ÷ 3 = 270 ÷ 3

x = 90

x, x + 35, x - 70

90, 125, 20

Answer:

1200000

Step-by-step explanation:

Esun as ma

Answer:

True, there you go! hope it helps! Please vote Brainliest!

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

To simplify an expression means to ensure there are no parentheses and no like terms.

Answer:

C) 3057.6 cm³

Step-by-step explanation:

Rectangular prism: 20x11x9=1980

Cylinder: [tex]\pi[/tex]r²h = [tex]\pi[/tex]X7x7x7=1077.57

1980+1077.57=3057.57

Answer:

Here you go

Step-by-step explanation:

(3 x 10) x 8 = x(10 x 8)

What you do the distributive property so multiply 3x10 and you get 30 and multiply by 8 you get 240 so one side is solved. Now multiply 10x8 you get 80 and remember to multiply the variable x so you get 80x=240 now divide 80 both sides and you will get 3 as your total answer

Answer:

3

Step-by-step explanation:

(3x10)=30

30x8=240

(10x8)=80

240/80=3

Answer:

591.77

Step-by-step explanation:

we multiply 600 by 3 to get 1,800 then subtract 1,208.23 from 1,800 to get 591.77

Answer:

The answer would be 330:)

Step-by-step explanation:

How to Find LCM by Listing Multiples :

List the multiples of each number until at least one of the multiples appears on all lists

Find the smallest number that is on all of the lists

This number is the LCM

RLY hope this helps:) If so, can I have brainliest?

Answer:

The LCM of 30 and 22 is 330

Step-by-step explanation:

22 x 15 = 330

30 x 11 = 330

Answer:

a) (8,12) is the point [tex]\frac{3}{5}[/tex] of the way from R to S, b) (0, 6) is the point [tex]\frac{1}{5}[/tex] of the way from R to S.

Step-by-step explanation:

Let be [tex]X[/tex] a point in the line between endpoints [tex]R[/tex] and [tex]S[/tex]. The ratio of the line segment [tex]RX[/tex] to the line segment [tex]RS[/tex] is given by:

[tex]r = \frac{RX}{RS}[/tex]

Where:

[tex]RX = \sqrt{(x_{X}-x_{R})^{2}+(y_{X}-y_{R})^{2}}[/tex]

[tex]RS = \sqrt{(x_{S}-x_{R})^{2}+(y_{S}-y_{R})^{2}}[/tex]

Let be [tex]x_{R} = -4[/tex], [tex]y_{R} = 3[/tex], [tex]x_{S} = 16[/tex] and [tex]y_{S} = 18[/tex].

a) If we know that [tex]x_{X} = 8[/tex] and [tex]y_{X} = 12[/tex], the ratio of the line segment [tex]RX[/tex] to the line segment [tex]RS[/tex] is:

[tex]RX =\sqrt{[8-(-4)]^{2}+(12-3)^{2}}[/tex]

[tex]RX = 15[/tex]

[tex]RS =\sqrt{[16-(-4)]^{2}+(18-3)^{2}}[/tex]

[tex]RS = 25[/tex]

Then,

[tex]r = \frac{15}{25}[/tex]

[tex]r = \frac{3}{5}[/tex]

(8,12) is the point [tex]\frac{3}{5}[/tex] of the way from R to S.

b) If we know that [tex]x_{X} = 0[/tex] and [tex]y_{X} = 6[/tex], the ratio of the line segment [tex]RX[/tex] to the line segment [tex]RS[/tex] is:

[tex]RX =\sqrt{[0-(-4)]^{2}+(6-3)^{2}}[/tex]

[tex]RX = 5[/tex]

[tex]RS =\sqrt{[16-(-4)]^{2}+(18-3)^{2}}[/tex]

[tex]RS = 25[/tex]

Then,

[tex]r = \frac{5}{25}[/tex]

[tex]r = \frac{1}{5}[/tex]

(0, 6) is the point [tex]\frac{1}{5}[/tex] of the way from R to S.

Answer:

504,576,000

Step-by-step explanation:

16 years x 365 days x 24 hours x 60 minutes x 60 seconds = 504576000

Answer:

Sales tax=$31.53

The total price is: $557.03

Step-by-step explanation:

$525.50*0.06=$31.53

Answer:

3

Step-by-step explanation:

LN = 11

x - 9 + 2x - 16 = LN add like terms

3x - 25 = 11

3x = 36

x = 12

MN = x - 9 therefore MN = 3

Answer:

For Lin's answer

Step-by-step explanation:

When you have a triangle, you can flip it along a side and join that side with the original triangle, so in this case the triangle has been flipped along the longest side and that longest side is now common in both triangles. Now since these are the same triangle the area remains the same.

Now the two triangles form a quadrilateral, which we can prove is a parallelogram by finding out that the opposite sides of the parallelogram are equal since the two triangles are the same(congruent), and they are also parallel as the alternate interior angles of quadrilateral are the same. So the quadrilaral is a paralllelogram, therefore the area of a parallelogram is bh which id 7 * 4 = 7*2=28 sq units.

Since we already established that the triangles in the parallelogram are the same, therefore their areas are also the same, and that the area of the parallelogram is 28 sq units, we can say that A(Q)+A(Q)=28 sq units, therefore 2A(Q)=28 sq units, therefore A(Q)=14 sq units, where A(Q), is the area of triangle Q.

The reason is while computing the area is found to be 14 square units.

The area of Triangle = 1/2* base *  height

given:

assumed area to be 14 square units

We will take the case of Elena

In figure the base = 7 units

height = 4 units

Area of triangle

=1/2*base*height

=1/2 * 7 * 4

=7*2

=14 square units

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Answer:

Step-by-step explanation:

Savings = Earnings - Expenses ⇒ Expenses = Earnings - Savings

E(3 years) = E(36 months)

Answer:

You would begin to start this equation by combining like terms.

Step-by-step explanation:

To start you would first combine 2x + 3x and you get 5x. From there you would solve 5x=10. Now you would divide by 5 on both sides to get x=2.

Answer:

1/5

Step-by-step explanation:

Step 1:

5x - 10 + 11

Step 2:

5x = 1

Answer:

x = 1/5

Hope This Helps :)

Answer:

i would say b since its 1 placement lower

Step-by-step explanation: