the area of a triangle is 10x^2 - 4x. If the height of the triangle is 2x, determine an expression for the base.

A = base x height divided by 2.

Answer:

10/11

Step-by-step explanation:

count how many cups and then what ones have water and milk

the number chosen by Janet was 9 .

An equation is a statement in which the values of two mathematical expressions are equal. These statements consist of constants and variables. Constants are values that never change. Variables like y or x represent unknown numerical values. Nonlinear equations are equations that appear as curved lines when you graph them. After plotting pairs of values that make the equation true on a coordinate grid, you can't draw a straight line between the points.

from the question given we can come to an equation that is

2( x+7) - 4 = 28

if the number chosen by Janet is x

lets find x

2x + 14 - 4 = 28

2x = 18

x = 9

therefore the number chosen by Janet was 9 .

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Answer: a

Step-by-step explanation:

i think the answer is a

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Boys to girls

3 : 5

? : 35

35/5 = 7

5 x 7 gives number of girls.

So, 3 x 7 will give number of boys, which is 21

Thus, there are 21 boys

(basically, you find the number you multiplied by 5 to get 35, then, multiplying that number on the other side, which was 3 in this case. )

Hope this helps!

надеюсь что объяснила точно и нормально

The equation to find the elapsed time is  -16t^2 + 20 + 15 = 0 and the elapsed time is 1.479 seconds

The given parameters are:

h(t) = -16t^2 + 20

Also, we have:

Safety net = 15 feet below

This means that

h(t) = -15

Substitute h(t) = -15 in h(t) = -16t^2 + 20

So, we have

-16t^2 + 20 = -15

Add 15 to all sides

-16t^2 + 20 + 15 = 0

Using a graphing calculator, we have

t = -1.479 and t = 1.479

Time cannot be negative

So, we have

t = 1.479

Hence, the time is 1.479 seconds

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Answer: I pretty sure that the answer is -169

Step-by-step explanation: Because it's going to need the minus symbol and I don't think -2,197 because it is a huge number HOPE THIS HELPS!!!

The value of the expression (−13)³ when evaluate is equal to -2,197.

As given in the question,

Given expression is equal to  :

( -13 )³

Property used while evaluating the expression:

( - )  × ( - ) = ( + )

( + ) × ( - ) = ( - )

Evaluate the given expression ( -13 )³ value we get,

( -13 )³

Multiply first two terms we get :

= ( -13 ) × ( -13 ) × ( -13 )

= ( 169 ) × ( -13 )

Now , multiply 169 to (-13 ) the value we get

= ( -2, 197 )

Therefore, the value of the expression (−13)³ when evaluate is equal to -2,197.

The complete question is:

What is the value of (−13)³ when evaluated?

a. −169

b. 39

c. −2,197

d. 2,197

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Answer:

$17.64

Step-by-step explanation:

Multiply 7.84 by 2.25

7.84 x 2.25 = 17.64

Answer:

$17.64

Step-by-step explanation:

1 pound salmon = 7.84

2.25 (2 1/4) pound salmon = 17.64

The sample mean of z = 247-925

Given Data:

13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18.

Mickey Mantle played for the New York Yankees for 18 years, from 1951 to 1988. The average annual number of home runs he hit was as follows:

X < - C (  13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18)

Y < - Cumsum (X)

Y

13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18

> W < - 714 - Y

> W

Y

13, 36, 57, 84, 121, 173, 207, 249, 280, 320, 374, 404, 419, 454, 473, 496, 518, 536

> W < - 714 - Y

> W

701, 678, 657, 630, 593, 541, 507, 465, 434, 394, 340, 310, 295, 260, 241, 218, 196, 178

> Z < - C (X, Y, W)

>Z

13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18

13, 36, 57, 84, 121, 173, 207, 249, 280, 320, 374, 404, 419, 454, 473, 496, 518, 536

701, 678, 657, 630, 593, 541, 507, 465, 434, 394, 340, 310, 295, 260, 241, 218, 196, 178

a) Z's minimal value = 13

b) Sum of the element's squares in Z = 5853370

c) Z's sample mean = 247.9259

d) The variation of z in samples (variance) = 478133.92

e) Z's Standard Deviation = 218.6639

f) W's 18th element = 178

g) X's Sample Variance = 142.6536

h) The sample variance of 5x = 3566.34

i) Length of elements in 5x = 18

j) The unique (different) values are in Z = 52

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Answer:8s^3 , 27s^3 , n^3s^

Step-by-step explanation:

As we know that

Volume of the cube = side × side × side

let us assume that one side is s

side = 2s

Then,

Volume = 2s ×2s×2s

=8s^3

side =3s

Then,

Volume= 3s×3s×3s

 =27s^3

side =ns

Then,

Volume= ns×ns×ns

 =n^3 s^3



The equation of the line. a line that is parallel to the graph of 2x+3y=5 and contains the point (3,-1) is y+1 = -2/3 (x - 3)

A line is defined by the shortest distance between two points,

The equation of a line in point slope form is expressed as;

y - y₁ = m(x-x₁)

where

m is the slope

(x₁, y₁) is any point on the line

Given the following parameters

Point = (3, -1)

Given the equation 2x + 3y = 5

3y = -2x + 5

y = -2/3x + 5

Slope = -2/3

Substitute

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

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

This gives the required equation of the line.

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Answer:

24 inches

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

[tex]18^{2}[/tex] + [tex]b^{2}[/tex] = [tex]30^{2}[/tex]

324 + [tex]b^{2}[/tex] = 900

[tex]b^{2}[/tex] = 576

[tex]\sqrt{b^{2} }[/tex] = [tex]\sqrt{576}[/tex]

b  = 24

Answer:

24 inches

Step-by-step explanation:

Since the size of the screen is measured from the lower corner to the opposite upper corner.

therefore it forms a right angled triangle.

given hypotenuse is 30inch

the height is 18 inches

using the Pythagorean theorem

[tex] {hypotense}^{2} = {width}^{2} + {height}^{2} [/tex]

then

[tex] {30}^{2} = {width}^{2} + {18}^{2} \\ 900 = {width}^{2} +324[/tex]

Subtract 324 from both sides

[tex]576 = {width}^{2} \\ width = \sqrt{576} = 24 \: \: inches[/tex]

Answer: Im not sure what is supposed to happen here but x=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

what is the mean of 21,23,19,23,and 21?

Find the sum of the values by adding them all up. Divide the sum by the number of values in the data set.

(21+23+19+23+21) : 5 =

107 : 5 =

21.4 (or 107/5)

If she priced scooter for $15.50 and ended up selling it for $10.75, then the percentage of decrease in the price of the scooter is 30.64%

The initial price of the scooter = $15.50

The selling price of the scooter = $10.75

The amount decrease in the price of the scooter = Initial price of the scooter - The selling price of the scooter

= 15.50-10.75

= $4.75

The percent of decrease in the price of the scooter = (The amount decrease in the price of the scooter ÷ The initial price of the scooter)×100

= (4.75/15.50)×100

= 30.64%

Hence, if she priced scooter for $15.50 and ended up selling it for $10.75. then the percentage of decrease in the price of the scooter is 30.64%

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Answer:

47

Step-by-step explanation:

you said 22 divided by 1034, which is 0.02127659574 when i put it in my calculator, so im just going to guess that was a typo lol
22*47=1034, so 1034/27 is 47

Answer:

-8, -6, -4, -1, 3

Step-by-step explanation:

Hope it helps! =D

The distance that the boat travel is 17.5 miles per hour.

A boat travels upstream on a Mississippi river for 3.5 hours and the return trip takes 2.5 hours

The boat travels 2 miles per hour faster downstream

Let y = the speed that was traveled upsteam.

This will be illustrated as

3.5y = 2.5(y + 2)

3.5y = 2.5y + 5

3.5y - 2.5y = 5

y = 5

Therefore the distance travelled by the boat upstream will be:

= 3.5 × 5

= 17.5 miles per hour

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The equation for three consecutive integers whose sum is 36 is n + (n+1) + (n+2) = 306.

A mathematical statement called an equation includes the sign "equal to" between two expressions with equal values.

Whole numbers that follow one another without a gap are known as consecutive integers.

Given the sum of three consecutive integers = 306

Let the integers be n, n+1, n+2

Then, n + (n+1) + (n+2) = 306

⇒3n + 3 = 306

⇒n = 303/3

⇒n = 101

Hence, n+1 = 102 and n+2 = 103

Therefore, the equation for three consecutive integers whose sum is 36 is n + (n+1) + (n+2) = 306.

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Answer:

Based on the given conditions, formulate: 235000×(1+1-4%)

Calculate the sum or difference:235000×(2-0.04)

Calculate the sum or difference:235000×1.96

Calculate the product or quotient:460600

get the result:460600

So the answer is 460600

Answer:

£ 253,484.16

Step-by-step explanation:

Cost of house for first year = £235,000

Year 1

Depreciation for first year  is 4% = 4/100

Depreciation in £ = 235,000 x 4/100 = £9,400

Effective value of house at end of first year
= 235000 - 9400 = £225,600

Year 2

In the second year the house  value increased by 6% = 6/100

So total increase in £ at the end of year 2 with an initial value of £225,600 = £225,600 x 6/100 = £13,536

So actual value of house at end of year 2
= £225,600 + £13,536
= £239,136

Year 3

The value increased by 6% for year 3.

Value at beginning of year 3 = £239,136

Increase in value at 6% = £239,136 x 6/100 = £14,348.16

Total Value at end of year 3

=  £239,136 + £14,348.16

= £253,484.16

Answer: £253,484.16

Note
Another way of quickly calculating this is noting that 4% depreciation means the new value is  (1 - 4%) of initial value = 1 - 4/100 = 0.96

An increase of 6% means the new value will be 1.06 times the initial value

So the value of the house after 4% depreciation for the first year and 6% appreciation for the next  2 years

= 235000 x (0.96)(1.06)(1.06) = 253,484.16

The greatest common factor of 24, 36 and 72 is 12.

12 is the greatest common factor of 24, 36, and 72

Inserting brackets to make the statement true 10 + 2 x 3^2 - 2 = 84 will be (10 + 2) × (3² - 2).

It should be noted that the information simply means that one had to put the bracket in the appropriate places on order to get the value of 84.

This will be illustrated thus:

= 10 + 2 × 3² - 2

= (10 + 2) × (3² - 2)

= 12 × (9 - 2)

= 12 × 7

= 84

Therefore, the expression is true.

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For the given discrete data series,

Median = 4'7"

Mode = 4'8"

Range = 1'3"

To begin with, let us arrange the given discrete data series in ascending order as follows:

3'7"     3'11"    4'3"    4'6"      4'7"      4'7"     4'8"      4'8"      4'8"     4'9"   4'10"

To identify the median, locate the data point that stands exact at midpoint of the series. It is the sixth entry from left and hence median = 4'7"

To identify the mode, count and identify which data points occurs highest in frequency. 4'8" is mode as it occurs highest number of times (3 times) in the series.

To calculate the range, we subtract the last entry. Thus Range = 4'10" - 3'7" = 1'3"

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Answer:

68

Step-by-step explanation:

because first u have to add it all up then take away

Order from least to greatest is 2% ,0.2,[tex]\frac{7}{25}[/tex] ,[tex]\sqrt{2}[/tex],2×10¹

The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in all areas of mathematics, including trigonometry, calculus, and coordinate geometry. 2x + 4 = 8 is a straightforward algebraic expression. In algebra, symbols are used, and operators are used to connect the symbols to one another. It is more than just a mathematical idea; it is a skill that we all utilize on a regular basis without even being aware of it.

Order from least to greatest is 2% ,0.2,[tex]\frac{7}{25}[/tex] ,[tex]\sqrt{2}[/tex],2×10¹

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