What is 15% of 700?

Answer:

The mean is 31

The mode is In this case there is no mode

The median is 32

The range is 29

Answer:

Step-by-step explanation:

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Answer:

50 students

Step-by-step explanation:

24% students in a clan were absent in a day .

Hence, the Percentage of students present is calculated as:.

= 100 % - 24 %

= 76%

From the question, we know that:

If 38 students were present ,what is the total strength in the clan

The total strength of the clan = Total number of students. This is calculated as:

76% × x = 38 students.

76/100 × x = 38

76x /100 = 38

Cross Multiply

76x = 38 × 100

x = 3800/76

x = 50 students

Answer:

-68

Step-by-step explanation:

-28 + - 40 =

2 + 4 = 6

8 + 0 = 8 making

-68

hope this helped

here is your answer and some tips ☺️

Answer:

(8x-5y)(8x+5y)

Step-by-step explanation:

Using the square principal because the square root of 64x2 is 8x and the square root of 25y2 is 5y and +- because +times- is only minus and the equation is minus.

Answer:

1u--> 5.60

2u--> 11.20

Step-by-step explanation:

3u--> 16.80

1u--> 5.60

2u--> 11.20

£16.80 in the ratio 2 : 1

add both sides of the ratio together to get 3

now divide £16.80 by 3 to get £5.60

now put that £5.60 into

Answer:

do your work and ask a teacher or parent for help to solve it and stop asking random strangers for the answer and learn how to do it. <3

Step-by-step explanation:

Answer:

i think 6 or 12 let me know which is correct

Step-by-step explanation:

The area of the shape in Step n is (n+1)²-2.

A recurring arrangement of numbers, forms, colours, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.

From the given pattern,

Area of the shape in step 1 is 2 square centimeter

Area of the shape in step 2 is 7 square centimeter

Area of the shape in step 3 is 14 square centimeter

Here, the pattern is 2²-2=2

3²-2=7

4²-2=14

so, the general form is (n+1)²-2

Therefore, the area of the shape in Step n is (n+1)²-2.

Learn more about the pattern here:

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Step-by-step explanation:

If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator. To do this, you need to find the least common multiple (LCM) of the two denominators.

Answer:

24 rolls

Step-by-step explanation:

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

[tex]\frac{3}{2}[/tex] ×[tex]\frac{4}{1}[/tex] [tex]= \frac{12}{2}[/tex]

which is 6 cups of flour

rolls can be made with [tex]\frac{1}{4}[/tex] a cup of flour

[tex]6[/tex] × [tex]4[/tex] [tex]=24[/tex]

Answer:

A-> 30

B->36

C->81

Step-by-step explanation:

A:B:C

5x4 : 6x4

        4x6 : 9x6

new ratio

A : B : C

20 : 24

      24 : 54

54-20=34

34u->51

1u->1.50

A-> 20u ->1.50 x 20 = 30

B->24u -> 1.50 x 24 = 36

C-> 54u ->1.50 x 54 = 81

Answer: 8 cm

Step-by-step explanation: 3^2 = 9 So, 72/9 = 8

Answer:

zero becouse the the fewest omout of time you can drop an egg without it breaking

Step-by-step explanation:

get owend brother!!!!!!!!

Answer:

Simplify the following algebraic expressions.

- 6x + 5 + 12x -6

2(x - 9) + 6(-x + 2) + 4x

3x2 + 12 + 9x - 20 + 6x2 - x

(x + 2)(x + 4) + (x + 5)(-x - 1)

1.2(x - 9) - 2.3(x + 4)

(x2y)(xy2)

(-x2y2)(xy2)

Solution

Group like terms and simplify.

- 6x + 5 + 12x -6 = (- 6x + 12x) + (5 - by

Solution

Use rules of exponential to simplify the numerator first.

(a b2)(a3 b) / (a2 b3) = (a4 b3) / (a2 b3)

Rewrite as follows.

(a4 / a2) (b3 / b3)

Use rule of quotient of exponentials to simplify.

= a2

Rewrite as follows.

(21 x5) / (3 x4) = (21 / 3)(x5 / x4)

Simplify.

= 7 x

(6 x4)(4 y2) / [ (3 x2)(16 y) ]

Multiply terms in numerator and denominator and simplify.

(6 x4)(4 y2) / [ (3 x2)(16 y) ] = (24 x4 y2) / (48 x2 y)

Rewrite as follows.

= (24 / 48)(x4 / x2)(y2 / y)

Simplify.

= (1 / 2) x2 y

Factor 4 out in the numerator.

(4x - 12) / 4 = 4(x - 3) / 4

Simplify.

= x - 3

Factor -5 out in the numerator.

(-5x - 10) / (x + 2) = - 5 (x + 2) / (x + 2)

Simplify.

= - 5

Factor numerator and denominator as follows.

(x2 - 4x - 12) / (x2 - 2x - 24) = [(x - 6)(x + 2)] / [(x - 6)(x + 4)]

Simplify.

= (x + 2) / (x + 4) , for all x not equal to 6

Solve for x the following linear equations.

2x = 6

6x - 8 = 4x + 4

4(x - 2) = 2(x + 3) + 7

0.1 x - 1.6 = 0.2 x + 2.3

- x / 5 = 2

(x - 4) / (- 6) = 3

(-3x + 1) / (x - 2) = -3

x / 5 + (x - 1) / 3 = 1/5

Solution

Divide both sides of the equation by 2 and simplify.

2x / 2 = 6 / 2

x = 3

Add 8 to both sides and group like terms.

6x - 8 + 8 = 4x + 4 + 8

6x = 4x + 12

Add - 4x to both sides and group like terms.

6x - 4x = 4x + 12 - 4x

2x = 12

Divide both sides by 2 and simplify.

x = 6

Expand brackets.

4x - 8 = 2x + 6 + 7

Add 8 to both sides and group like terms.

4x - 8 + 8 = 2x + 6 + 7 + 8

4x = 2x + 21

Add - 2x to both sides and group like terms.

4x - 2x = 2x + 21 - 2x

2x = 21

Divide both sides by 2.

x = 21 / 2

Add 1.6 to both sides and simplify.

0.1 x - 1.6 = 0.2 x + 2.3

0.1 x - 1.6 + 1.6 = 0.2 x + 2.3 + 1.6

0.1 x = 0.2 x + 3.9

Add - 0.2 x to both sides and simplify.

0.1 x - 0.2 x = 0.2 x + 3.9 - 0.2 x

- 0.1 x = 3.9

Divide both sides by - 0.1 and simplify.

x = - 39

Multiply both sides by - 5 and simplify.

- 5(- x / 5) = - 5(2

What is the y intercept of the line - 4 x + 6 y = - 12?

Solution

Set x = 0 in the equation and solve for y.

- 4 (0) + 6 y = - 12

6 y = - 12

y = - 2

y intercept: (0 , - 2)

What is the x intercept of the line - 3 x + y = 3?

Solution

Set y = 0 in the equation and solve for x.

- 3 x + 0 = 3

x = -1

x intercept: (-1 , 0)

What is point of intersection of the lines x - y = 3 and - 5 x - 2 y = - 22?

Solution

A point of intersection of two lines is solution to the equations of both lines. To find the point of intersection of the two lines, we need to solve the system of equations x - y = 3 and -5 x - 2 y = -22 simultaneously. Equation x - y = 3 can be solved for x to give

x = 3 + y

Substitute x by 3 + y in the equation - 5 x - 2 y = -22 and solve for y

-5 (3 + y) - 2 y = - 22

-15 - 5 y - 2 y = - 22

-7 y = - 22 + 15

-7 y = - 7

y = 1

Substitute x by 3 + y in the equation -5 x - 2 y = - 22 and solve for y

x = 3 + y = 3 + 1 = 4

Point of intersection: (4 , 1)

For what value of the constant k does the line - 4 x + k y = 2 pass through the point (2,-3)?

Solution

For the line to pass through the point (2,-3), the ordered pair (2,-3) must be a solution to the equation of the line. We substitute x by 2 abd y by - 3 in the equation.

- 4(2) + k(-3) = 2

Solve the for k to obtain

k = - 10 / 3

What is the slope of the line with equation y - 4 = 10?

Solution

Write the given equation in slope intercept form y = m x + b and identify the slope m.

y = 14

It is a horizontal line and therefore the slope is equal to 0.

What is the slope of the line with equation 2 x = -8?

Solution

The above equation may be written as

x = - 4

It is a vertical line and therefore the slope is undefined.

Find the x and y intercepts of the line with equation x = - 3?

Solution

The above is a vertical line with x intercept only given by

(-3 , 0)

Find the x and y intercepts of the line with equation 3 y - 6 = 3?

Solution

The given equation may be written as

y = 3

The above is a horizontal line with y intercept only given by

(0 , 3)

What is the slope of a line parallel to the x axis?

Solution

A line parallel to the x axis is a horizontal line and its slope is equal to 0.

What is the slope of a line perpendicular to the x axis?

Solution

A line perpendicular to the x axis is a vertical line and its slope is undefined

Step-by-step explanation:

y = -22 and solve for y

-5 (3 + y) - 2 y = - 22

-15 - 5 y - 2 y = - 22

-7 y = - 22 + 15

-7 y = - 7

y = 1

Answer:

x = 40

Step-by-step explanation:

x + 100 +  x = 180 {Straight line angles}

2x   + 100 = 180      {subtract 100 from both sides}

         2x = 180 - 100

         2x = 80      {Divide both sides by 2)

           x = 80/2

          x = 40

Answer:

x=40

Step-by-step explanation:

2x+100=180

2x=180-100

2x=80

x=40

Answer:

The distance between them is 230.65 miles

Step-by-step explanation:

Here we use the Cosine formula

[tex]a^2 = b^2 + c^2 - 2bc\ cos\ A\\\\a^2 = 200^2 + 300^2 - 2\times 200\times 300cos50^{\circ}\\\\= 40,000 + 90,000 - 120,000cos50^{\circ}\\\\= 130,000 - 120,000 \times 0.64\\\\= 130,000 - 76,800\\\\a^2= 53,200\\\\a = \sqrt{53,200} \\\\= 230.65\ miles\ per\ hour[/tex]

Now the distance for one hour is

= 230.65 ÷ 1

= 230.65 miles

Answer:

5000 Pounds

Step-by-step explanation:

I'm pretty sure this is the answer if not I'm honestly sorry.

Answer:

5512 lbs

Step-by-step explanation:

Answer:

Graph Z or D

Step-by-step explanation:

Starts at 800 and goes up to around 4 and ends

Answer:

its Z

Step-by-step explanation:

==================================================

Work Shown:

If line a is parallel to line b, then the alternate interior angles (4x-30) and (2x) are equal to one another.

Let's solve for x

4x-30 = 2x

4x-2x = 30

2x = 30

x = 30/2

x = 15

Answer:

0.15 = 3/20. 0.369= 369/1000.

Answer:

yes, yes, no, yes, yes (x > 0)

Step-by-step explanation:

the longest side must not be greater than the other 2 sides added up.

5 + 7 > 8 (yes)

10 + 3 > 11 (yes)

16 + 5 = 21 (no)

4 + 1.4 > 5 (yes)

3x + 4x > 5x (yes, x > 0)

Answer:

1/2,5/10,4/8

Step-by-step explanation:

half of the box is shaded.

this means that 1/2 is shaded.

also, there are 5/10 boxes shaded.

we can make up another one: 4/8

all of these can be reduced to 1/2.

Answer:

38%

Step-by-step explanation:

since percent goes by 100 and there are 50 states you can double the 19 to get 38% of the states

Answer:

She has visited 38% of the states.

Step-by-step explanation:

19          x

-----  = --------

50.      100  

Answer:

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Step-by-step explanation:

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Angle sum property of triangle states that the sum of interior angles of a triangle is 180°

We need to prove angle sum property.

What is angle sum property?

The sum of interior angles of a triangle is 180 degrees

Consider a ∆ABC, as shown in the figure below. To prove the above property of triangles, draw a line PQ parallel to the side BC of the given triangle

Since PQ is a straight line, it can be concluded that:

∠PAB + ∠BAC + ∠QAC = 180°  ………(1)

Since PQ||BC and AB, AC are transversals,

Therefore, ∠QAC = ∠ACB (a pair of alternate angle)

Also, ∠PAB = ∠CBA (a pair of alternate angle)

Substituting the value of ∠QAC and ∠PAB in equation (1),

∠ACB + ∠BAC + ∠CBA= 180°

Thus, the sum of the interior angles of a triangle is 180°.

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Answer: Answer is below mate!

Step-by-step explanation: Have a brilliant day-Lily ^_^

Answer:

$1105

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year,

then, solving our equation

I = 6500 × 0.0425 × 4 = 1105

I = $ 1,105.00

The simple interest accumulated

on a principal of $ 6,500.00

at a rate of 4.25% per year

for 4 years is $ 1,105.00.