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3 years ago

Evaluate the expression: 2 (m + 1) – n3 when m = -2 and n = 3

Mathematics

1 answer:

QveST [7]3 years ago

8 0

Answer:

-15

Step-by-step explanation:

2 * (-4+2) = -6

-6 - 9 = -15

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Two wheels rolled simultaneously. The radius of the smaller wheel is r feet and the radius of the larger wheel is 2r feet If bot

Mnenie [13.5K]

The smaller wheel rolled
.. 4*2πr = 8πr . . . . feet

The larger wheel rolled
.. 4*2π*2r = 16πr . . feet

The larger wheel traveled (16πr -8πr) = 8πr feet farther than the small wheel.

6 0

4 years ago

Please someone help with Q4 and Q3 I’m really stuck and not sure if the calculations for Q3 that I’ve done are correct

Vladimir [108]

Answer:

3. x + 18.

4. 8n + 16

Step-by-step explanation:

3. We have to calculate the area of wood present in the frame whose dimensions are given with the question.

Requires area = {(x + 3) × 1} + [(4 - 1) × {(x + 3) - (x - 2)}] = x + 3 + 3 × 5 = x + 18. (Answer)

4. The sum of four consecutive odd numbers where 2n + 1 is the smallest odd number will be

= (2n + 1) + (2n + 3) + (2n + 5) + (2n + 7)

= 8n + 16 (Answer)

7 0

4 years ago

Write this number in expanded form 382,706

77julia77 [94]

Answer:

Expanded form : 300,000 +80,000 +2000 +700 +6.

Step-by-step explanation:

Given : 382,706.

To find : Write this number in expanded form.

Solution : We have given 382,706.

We can see 3 is at hundred thousand place = 300,000

8 is at ten thousand place = 80,000.

2 is at thousand place = 2000.

7 is at hundred place = 700.

6 is at ones place = 6

Then

Expanded form : 300,000 +80,000 +2000 +700 +6.

Therefore, Expanded form : 300,000 +80,000 +2000 +700 +6.

5 0

3 years ago

Read 2 more answers

A baker buys 19 apples of two different varieties to make pies. The total cost of the apples is $5.10. Granny Smith apples cost

Natasha2012 [34]

The baker bought 7 gala apples, and 12 granny smiths apples

Solution:

Let "x" be the number of gala apples bought

Let "y" be the number of granny smith apples bought

Cost of 1 gala apple = $ 0.30

Cost of 1 granny smith apple = $ 0.25

A baker buys 19 apples of two different varieties to make pies

Therefore,

number of gala apples bought + number of granny smith apples bought = 19

x + y = 19 --------- eqn 1

The total cost of the apples is $5.10

Therefore, we can frame a equation as:

number of gala apples bought x Cost of 1 gala apple + number of granny smith apples bought x Cost of 1 granny smith apple = 5.10

$x \times 0.30 + y \times 0.25 = 5.10$

0.3x + 0.25y = 5.1 -------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 19 - y ---------- eqn 3

Substitute eqn 3 in eqn 2

0.3(19 - y) + 0.25y = 5.1

5.7 - 0.3y + 0.25y = 5.1

5.7 - 0.05y = 5.1

0.05y = 5.7 - 5.1

0.05y = 0.6

y = 12

Substitute y = 12 in eqn 3

x = 19 - 12

x = 7

Thus the baker bought 7 gala apples, and 12 granny smiths apples

6 0

3 years ago

Solve - pv + 40 < 65 for v solve 7w - 3r = 15 for r

Katarina [22]

Answer:

v > -25/p

r = -5 +7/3 w

Step-by-step explanation:

- pv + 40 < 65

Subtract 40 from each side

- pv + 40-40 < 65-40

-pv < 25

Divide each side by -p (remember to flip the inequality since we are dividing by a negative)

-pv/-p > 25/-p

v > -25/p

7w - 3r = 15

Subtract 7w from each side

7w-7w - 3r = 15-7w

-3r = 15-7w

Divide by -3

-3r/-3 = (15-7w)/-3

r = -5 +7/3 w

8 0

4 years ago