Please help me with my homework :)

(a) The distance on the ground represented 2 cm on the map  is 2000 cm.

(b) The distance on the ground represented 7.6 cm on the map  is 7600 cm

It is given that a map has a scale of 1:1000 which means that 1 cm of the map represents 1000 cm on the ground .

i) (a) Using unitary method , we get

1 cm on map is equivalent to = 1000 cm on the ground

 2 cm on map is equivalent to  = 2 × 1000

                                                      = 2000 cm on the ground

(b) Using unitary method , we get

1 cm on map is equivalent to = 1000 cm on the ground

 7.6 cm on map is equivalent to  = 7.6 × 1000

                                                      = 7600 cm on the ground

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Dinesh met his goal of keeping administrative tasks below 10% of his weekly hours in Weeks 2, 3, and 4.

The percentages of administrative tasks are computed by dividing the administrative hours worked by the total hours worked each week.

Percentages are ratios or portions of a variable in the whole number.

               Administrative Hrs     Total Hours Worked  Admin %   Goal Met?

Week 1             4.25                          40 hours              10.625%       No

Week 2            2.57                          40 hours                6.425%       Yes

Week 3            3.83                          40 hours                9.575%       Yes

Week 4            3.40                         40 hours                 8.500%      Yes

Thus, Dinesh met his goal of keeping administrative tasks below 10% of his weekly hours in Weeks 2, 3, and 4.

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               Administrative Hrs     Total Hours Worked  Admin %   Goal Met?

Week 1             4.25                          10 hours

Week 2            2.57                           8 hours  

Week 3            3.83                           8 hours

Week 4            3.40                           8 hours

The measurement 9 feet is closest to 270 centimeters.

In this problem we have a case of unit conversions, in which we must find what measure in a unit offers the best approximation to other represented in other unit. Please notice that a centimeter equals 25 / 762 feet and 50 / 127 inches. Now we proceed to calculate the equivalent quantities in feet and inches by simple rule of three:

x = 270 cm × (25 / 762 feet / cm)

x ≈ 8.858 feet

x = 270 cm × (50 / 127 inches / cm)

x ≈ 106.299 inches

The measurement 9 feet is closest to 270 centimeters.

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The percent increase in his bill from May to July is 32.29%.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency. The sign used to represent percentages is %.

The percent increase in his bill from May to July = (bill in July / bill in May)^(1/number of months) - 1

(136.50 / 78)^(1/2) - 1 = 32.29%

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Answer:

True

Step-by-step explanation:

the speed of the Cheetah in feet per hour will be 369600 feet per hour when the speed if 70 miles per hour.

Speed of the Cheetah = 70 miles / hour

1 mile = 5280 feet

Now, we will convert 70 miles into feet.

For this, we will use the operation of multiplication.

We will multiply 5280 to 70 to convert the miles into feet.

So, the speed of the Cheetah will become:

Speed of the Cheetah = 5280 × 70 / hour.

Speed of the Cheetah = 369600 feet / hour.

Therefore, we get that, the speed of the Cheetah in feet per hour will be 369600 feet per hour when the speed if 70 miles per hour.

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24 grams per cubic centimeters equals 0.867 pounds per cubic inches

The quantity (x) is given as:

x = 24 grams per cubic centimeters

1 gram equals 0.00220462 pounds

So, we have:

x = 24 * 0.00220462 pounds per cubic centimeters

Evaluate

x = 0.05291088 pounds per cubic centimeters

1 cubic centimeters equals 0.0610237 cubic inches

So, we have

x = 0.05291088 pounds per 0.0610237 cubic inches

Rewrite as

x = 0.05291088/0.0610237 pounds per cubic inches

Evaluate

x =0.867 pounds per cubic inches

Hence, 24 grams per cubic centimeters equals 0.867 pounds per cubic inches

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Answer:

56mph

Step-by-step explanation:

i hope this is the answer you were looking for

In expression form, 8(99) is 8 ( 100 - 1 ) = 792, by basic algebra.

Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.

Now, Given:

8 x 99

We know 99 = 100 - 1.

Thus, by basic algebra, 8 ( 99) = 8 (100 - 1)

8 ( 100 - 1) = 8(100) - 8(1)

8( 100 - 1) = 800 - 8 = 792.

Hence, In expression form, 8(99) is 8 ( 100 - 1 ) = 792, by basic algebra.

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6 WEEKS

2x + 28 = 4x + 16

x = 6

If our cells couldn't control what crossed their membranes, either no molecules would make it across, or they'd be travelling willy-nilly and the internal environment would always be in flux.

We need to know the formula for volume of a sphere to solve this question.The volume of Darragh's balloon when it is fully inflated is 3532.5[tex]cm^{3}[/tex]

A sphere can be called a circle in 3D, for example a ball is a sphere. There can be solid spheres and hollow spheres, a balloon is a hollow sphere because it has air inside it. The volume of a sphere can be calculated irrespective of it being a solid or a hollow sphere. The volume of a sphere is the capacity the sphere has, incase of a balloon the volume of a balloon means it's capacity to hold air in it. The formula for volume of a sphere is

V=[tex]\frac{1}{3}[/tex]π[tex]r^{3}[/tex] where V is the volume, r is the radius of the sphere

In the question it is given that radius of the sphere when fully inflated is 15cm

V=[tex]\frac{1}{3}[/tex]×3.14×15×15×15=3532.5 [tex]cm^{3}[/tex]

Therefore we found the volume of the balloon when fully inflated to be 3532.5[tex]cm^{3}[/tex].

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Answer:

f'(x) = 2.x.tan(x) + x²/cos²(x)

Step-by-step explanation:

f(x) = x².tan(x)

=> f'(x) = (x²)' . tan(x) + x². (tan(x))'

= 2x.tan(x) + x² . 1/cos²(x)

=> f'(x) = 2.x.tan(x) + x²/cos²(x)

Answer:

Two halves make a whole

34 + 24 + (1/2 + 1/2)

34 + 24 + 1

Answer:

A

Step-by-step explanation:

substitute the values from the replacement set into the right side of the equation to find which values of x make the equation true.

x = - 32

[tex]\frac{-32}{4}[/tex] + 5 = - 8 + 5 = - 3 ← True

x = 8

[tex]\frac{8}{4}[/tex] + 5 = 1 + 5 = 6 ≠ - 3 ← False

x = 32

[tex]\frac{32}{4}[/tex] + 5 = 8 + 5 = 13 ≠ - 3 ← False

the solution is therefore x = - 32

Answer:

3(x+13)

Step-by-step explanation:

use the distributive property to multiply -3 by

3x -5

12x -9x + 15 + 24

then

combine 12x and -9x to get 3

add 15 + 24 to get 39

ANSWER:

x=61

STEPS FOR SOLVING LINEAR EQUATION :

Subtract 7x from both sides.

Combine 6x and −7x to get −x.

Subtract 59 from both sides.

Subtract 59 from −2 to get −61.

Multiply both sides by −1.

Hope it helps!!!

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Answer:

answer to the question is x=61

Answer:

x = 18

Step-by-step explanation:

Given:

As "x" learners play all three sports, the Venn diagram should have three overlapping circles labelled soccer (S), rugby (R) and hockey (H).

x play all three sports:  Label the area that's in S, R and H with x.

8 play rugby only:  Label the area that is R only with 8.

36 play soccer only:  Label the area that is S only with 36.

28 play none of these sports:  Place 28 outside the three circles.

34 play soccer and rugby:  Place "34 - x" in the area that's in S and R.

40 play soccer and hockey:  Place "40 - x" in the area that's in S and H.

42 play hockey and rugby:  Place "42 - x" in the area that's in H and R.

72 play hockey

72 is the total for all the sections of H.

⇒ H = 72 - x - (40 - x) - (42 - x)

⇒ H = 72 - x - 40 + x - 42 + x

⇒ H = x - 10

Place "x - 10" in the area that is H only.

The total number of learners is 160.

Therefore, to find x, sum the areas of the Venn diagram and equal to 160:

⇒ 36 + 8 + 28 + 34 - x + x + 40 - x + 42 - x + x - 10 = 160

⇒ 36 + 8 + 28 + 34 + 40 + 42 - 10 - x + x - x - x + x = 160

⇒ 178 - x = 160

⇒ x = 178 - 160

⇒ x = 18

Finally, substitute x = 18 into the Venn diagram.

Answer:

Around 73cm

Step-by-step explanation:

314.16 is the area of the whole circle

shaded is 85/365 (around 23 percent)

the total distance covered by the bus is 41.67 km in 50 minutes.

For first 25 minutes:

Speed of the bus = 40 km / hr.

Time = 25 minutes

Distance = Speed × Time

Distance = 40 km / hr. × 25 / 60 hr.

Distance = 16.67 km

For the next 25 minutes:

Speed of the bus = 60 km / hr.

Time = 25 minutes

Distance = Speed × Time

Distance = 60 km / hr. × 25 / 60 hr.

Distance = 25 km

Total distance covered = 16.67 km + 25 km

Total distance covered = 41.67 km.

Therefore, we get that, the total distance covered by the bus is 41.67 km in 50 minutes.

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Answer:

Final answer is 2

Step-by-step explanation:

Answer:

-∞ and -∞ both answers

Step-by-step explanation:

From the graph it is clear that as x becomes smaller and smaller, y gets smaller and smaller. So as x → -∞, y → -∞

On the positive x side, as x gets bigger and bigger, y gets smaller and smaller so
as x → +∞, y → -∞

The attached graph displays a linear function

The graph that completes the question is added as an attachment

On the line of the graph, we have the following equation

y = 2x - 3

The above equation takes the form of a linear equation (i.e. y = mx + c)

This means that the graph displays a linear function

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Graph B displays a

✔ nonlinear function; the rate of change is not constant.

Step-by-step explanation:

Answer:

24964

Step-by-step explanation:

hope this works - btw this is not including 2 and 33

Answer:

20 psectacles and scranbled

In the year 2014, the total average credit card debt for a U.S. household was 13,773 dollars.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In order to predict the total average credit card debt in 2014, we would determine the number of years (t) from 1995 to 2014 and then substitute the value into the given expression as follows:

Number of years, t = 2014 - 1995

Number of years, t = 19 years.

Substituting the years into the expression, we have;

Total average credit card debt = 417t + 5850

Total average credit card debt = 417(19) + 5850

Total average credit card debt = 7,923 + 5850

Total average credit card debt = $13,773.

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