Order each group of numbers from least to greatest. 1. 4, π, 8 2. 5, 173, π+ 2 ________________________________________ ________________________________________ 3. 2, 1.7, −2 4. 2.5, 5, 32 ________________________________________ ________________________________________ 5. 3.7, 13, π+ 1 6. 54, π− 2, 52 ________________________________________ ________________________________________

Answer:

Scale 1: 35ft by 25ft

Scale 2: 56ft by 40ft

Step-by-step explanation:

Given

Rectangle: 7cm by 5cm

Scale 1: 1cm = 5ft

Scale 2: 1cm = 8ft

Required

Determine the scale measurement

For Scale 1:

Actual Measurement

[tex]Length = 7cm[/tex]

[tex]Width = 5cm[/tex]

Scale 1: 1cm = 5ft

To calculate the scale measurement, we have to multiply the actual measurements by 5:

This gives:

[tex]Length = 7 * 5ft[/tex]

[tex]Length = 35ft[/tex]

[tex]Width = 5 * 5ft[/tex]

[tex]Width = 25ft[/tex]

So, the new measurement is 35ft by 25ft

For Scale 2:

Actual Measurement

[tex]Length = 7cm\\Width = 5cm[/tex]

Scale 2: 1cm = 8ft

To calculate the scale measurement, we have to multiply the actual measurements by 8:

Scale Measurement:

[tex]Length = 7 * 8ft[/tex]

[tex]Length = 56ft[/tex]

[tex]Width = 5 * 8ft[/tex]

[tex]Width = 40ft[/tex]

So, the new measurement is 56ft by 40ft

Answer:

c). Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

(7m+5m^3)-3m-4m^3

we simplify to get

4m+m^3 which can be rearranged

m^3+4m

Answer:

Step-by-step explanation:

x2 + 2x - 7 + 11x2 - 5x - 1

Solving like terms

12x2 - 3x - 8

Answer:

[tex]y = - 4x - 3[/tex]

Step-by-step explanation:

[tex]y - 1 = - 4(x + 1) \\ y - 1 = - 4x - 4 \\ y = - 4x - 3[/tex]

Examine the operations above.

Answer:

1.23

Step-by-step explanation:

123

Answer:

23

Step-by-step explanation:

7-5(1)+3(7)

7-5+21

2+21

23

Answer:

7-5+21 = 23

Step-by-step explanation:

7 - 5p+ 3q

7 - 5(1) + 3(7)

7 - 5 + 21

7 + 16

= 23 hope this helps :)

Answer:

2744

Step-by-step explanation:

Let Al had x pennies initially.

Al agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani.

So, as per the given condition,

The number of Pennies received by Ben from Al [tex]= \frac{3}{7} x[/tex]

The number of Pennies received by Carl from Bev

[tex]=\frac{3}{7} \times \frac{3}{7} x=\frac{9}{49}x[/tex]

The number of Pennies received by Dani from Carl

[tex]= \frac{3}{7}\times \frac{9}{49}x=\frac{27}{343} x[/tex]

Now, as Dani received 216 Pennies, so

[tex]\frac{27}{343} x =216[/tex]

[tex]\Rightarrow \frac{216\times 343}{27}=2744.[/tex]

Hence, initially, Al had 2744 Pennies.

Answer:

x = 2

Step-by-step explanation:

10x - 7 = 7x - 1

10x = 7x + 6

3x = 6

x = 2

Answer:

x = 2

Step-by-step explanation:

Add seven to both sides to move it over to the right, then subtract 7x from both sides to move that over to the left.

You should be left with 10x - 7x = 7 - 1.

10x - 7x = 3x

7 - 1 = 6

3x = 6

Divide both sides by three to get your answer of x = 2.

Answer:

  1.672 x 10 27

Step-by-step explanation:

Answer:

x would equal 23, so (x+92) would equal 115°, & (5x) would equal 115°.

Answer:

1.20 × 10^35

Step-by-step explanation:

There are 60 seconds in 1 min and there are 60 mins in 1 hour. So in an hour there are 60 × 60 = 3600 seconds. There are 24 hours in a day. In a day, there are 3600 × 24 = 86400 seconds. A year is 365 days. So in a year there are 86400 × 365 = 31536000 seconds.

[tex](3.8 \times {10}^{27}) \times 31536000 = 1.20 \times {10}^{35} [/tex]

Answer:

-45, -21, -16, 12, 33, 40

Step-by-step explanation:

Answer:

Question A)

-21+12  =answer= -21 and 12

Question B)

45-16=29 =answer= -45 and -16

Question C)

The total is 3.

Thanks.

Answer:

x = undefined

Step-by-step explanation:

Expand brackets

4x - 1 = 4x + 4

Rearrange and make like terms next to each other

4x - 4x = 4 + 1

0x = 5

x = 5/0

when 0 is the denominator the answer is undefined

Answer: from what i calculated there is no solution

Step-by-step explanation:

Answer:

First one, Third one, Fifth one, and the last one too.

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, make a ratio:

18 min/ 3mile = 6 min/mile

now multiply to finish the table:

1: 6

3: 18

5: 30

10: 60

25: 150

Answer:

ok

Step-by-step explanation:

Answer:

to get the value of xtake 4x + 2x + 36 degrees is equals to 180 degrees this is because 4X and 2x + 36 degrees are angles on a straight line because 4X corresponds to the angle on top of 2x + 36 degrees so back to the equation we collect the like terms it will be 4 x + 2 x is equals to 180 degrees minus 36 degrees 6 x is equals to 144 x is equals to 24 degrees

Answer:

The midpoint of segment AB is (0, 2.5)

Step-by-step explanation:

Hope this helps!

Answer:

1/125

Step-by-step explanation:

=1/5*5*5

=1/5^3

=1/125

Using exponent rules, when a number is raised to a negative exponent, change the exponent to positive and make a fraction with 1 as the numerator and the number as the denominator:

5^-3 = 1/(5^3)

Answer:

A

Step-by-step explanation:

Answer:a

Step-by-step explanation:

Answer: 19 weeks.

Step-by-step explanation: 600 - 125 = 475. This means he needs to save $475 more. 475 divided by 25 is 19. So the answer is he must wait 19 more weeks.

Answer:

19 weeks

Step-by-step explanation:

600=25x+125  

x=19

Answer:

The first one, there are no repeating x values

Step-by-step explanation:

Answer:6960

Step-by-step explanation:

(16•48)+(86•72)=6960

s = side length of square

4s = perimeter of square

L = length of rectangle

W = width of rectangle

P = 2L+2W = perimeter of rectangle

4s = 2L+2W .... since we want the perimeters the same

4s = 2(L+W)

s = 0.5(L+W)

s^2 = (0.5(L+W))^2 ... square both sides

s^2 = 0.25(L+W)^2

The last equation shows the area of the square, s^2, in terms of L and W. This way we can connect the square to the rectangle.

-----------------------------------

The area of the rectangle is LW

Let's subtract this from the area of the square and see what we get

A = area of square = s^2

B = area of rectangle = LW

C = difference in area

C = A - B

C = s^2 - LW

C = 0.25(L+W)^2 - LW

C = 0.25(L^2+2LW+W^2) - LW

C = 0.25L^2+0.5LW+0.25W^2-LW

C = 0.25L^2-0.5LW+0.25W^2

C = 0.25(L^2-2LW+W^2)

C = 0.25(L-W)^2

Regardless of what we pick for L and W, the expression (L-W)^2 is always positive. Squaring a negative number leads to a positive result.

So C is always positive as long as [tex]L \ne W[/tex]

If C > 0, and C = A - B, then

C > 0

A-B > 0 .... replace C with A-B

A > B .... add B to both sides

This shows the square area is always larger than the rectangle.

Again this only works if L and W are different values. If L = W, then the argument falls apart because the rectangle becomes the square.

We make [tex]L \ne W[/tex] to have a nonsquare rectangle.

Answer:

yes

Step-by-step explanation:

the diagnols are congruent meaning that the diagnol lines in the middle are the same length. So theoretically the left and right lengths are the same, and the top and bottom lengths are the same. The triagles named both have the same base and they're hieght is sbviouysly the same so they would be SSS each of the sides on one triangle coresspondes to the other.

Shelly runs 2.5 miles every 18 mins. To find out how many minutes it takes her to run one mile, let's divide 18 by 2.5

18 mins / 2.5 miles = 7.2 mins / mile

Answer:

You have no apples then loose 11 more

Step-by-step explanation:

Trust