what is the value of x in this equation??
15(20+x)=420

Answer:

Q1 --> 17

Q2 --> 20

Q3 --> 22.5

Interquartile

Range IQR 5.5

Step-by-step explanation:

Step 1

We rearrange the given data set

10, 16, 18, 20, 20, 21, 24, 25

Q2 (median):

Q1:

Q3:

Interquartile Range (IQR): Q3-Q1 -

Answer: No slope.

Step-by-step explanation:

No slope, the x values are the same yet they have different Y values so there isn't a slope and this isn't a function.

Answer:

a=4

Step-by-step explanation:

3a=12

a=12/3

a=4

b+3.3=8.9

b=8.9-3.3

b=5.6

1=14c

1/14=14c/14

1/14=c

512=d+14

512-14=d

498=d

2e=6.4

2e/2=6.4/2

e=3.2

Answer:

• Median for Amo

• Mean for Max

Step-by-step explanation:

Amo's mean score:

= (97 + 92 + 89 + 55 + 90)/ 5

= 84.60

= 85

Max's mean score:

= (68 + 97 + 65 + 92 + 65) / 5

= 77

Amo's median:

First arrange the numbers in ascending order:

55, 89, 90, 92, 97

Median is middle which is 90.

Max's median:

65, 65, 68, 92, 97

Median is 68

Mr Javier should use Median for Amo and Mean for Max.

Answer:

Step-by-step explanation:

V=πr^2h is the equation for volume of a cylinder.

the radius is half of 50 so 50/2=25.

then 75 is the height so you plug the vaules in

V=(3.14)((25)^2)(75)

then multiply and you get 147187.5 rounded to the nearest whole number that is 147188

hope this helps :)

Answer:

9

Step-by-step explanation:

999

Answer:

1/5 or 0.2

Step-by-step explanation:

Answer:

The common difference is  or 0.2

Step-by-step explanation:

Given:

Arithmetic Sequence -2, -1 4/5, -1 3/5, -1 2/5,

First term      = a₁ = -2

Second term = a₂ =  

Third term     = a₃ =  

Fourth term = a₄ =  

To Find:

Common Difference = d = ?

Solution:

Formula for Common Difference d ,

∴  

The common difference is  or 0.2

Answer:

The area of the sector (shaded section) is 29.51 [tex]m^{2}[/tex].

Step-by-step explanation:

Area of a sector = (θ ÷ 360) [tex]\pi[/tex][tex]r^{2}[/tex]

where θ is the central angle of the sector, and r is the radius of the circle.

From the diagram give, diameter of the circle is 26 m. So that;

r = [tex]\frac{diameter}{2}[/tex]

 = [tex]\frac{26}{2}[/tex] = 13 m

θ = 360 - (180 + 160)

  = 360 - 340

  = [tex]20^{o}[/tex]

Thus,

area of the given sector = [tex]\frac{20}{360}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](13)^{2}[/tex]

                                        = [tex]\frac{20}{360}[/tex] x x [tex]\frac{22}{7}[/tex] x 169

                                         = 29.5079

The area of the sector (shaded section) is 29.51 [tex]m^{2}[/tex].

Answer:

False

Step-by-step explanation:

They don't look alike

Answer:

[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]

Step-by-step explanation:

Since the hyperbola opens left and right with a center at the origin, then

[tex]\frac{x^{2} }{^{2} } - \frac{y^{2} }{b^{2} } = 1[/tex]

In the graph a = 60 and b = 11

So

[tex]\frac{x^{2} }{60^{2} } - \frac{y^{2} }{11^{2} } = 1[/tex].

[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]

Answer:

the stock is worth $110.21

Step-by-step explanation:

The first thing you want to do is multiply 0.07 and 103, to find out what 7% of 103 is. When you multiply those two numbers you are going to get 7.21. You are then going to add 103 and 7.21 to find out how much it would be worth now.

Answer:

$110.21

Step-by-step explanation:

well 7% of 103 is 7.21  so if you add that to 103 it = 110.21

Answer:

The answer is 13.5 square miles

Answer:

16x-2

Step-by-step explanation

Area of the garden = length × width

Substitute the given value

15x 2 - 7x - 2. = 5x+1 × width

Factorize the area

15x^2 - 7x - 2.

15x²-10x+3x -2 =0

5x(3x-2)+1(3x-2)

5x+1(3x-2)

Hence other side so be 3x-2

Perimeter = 2(L+W)

P = 2(5x+1+3x-2)

P = 2(8x-1)

P = 16x-2

Hence the expression that represents the Perimeter is 16x-2

Answer:

(x-3)

Step-by-step explanation:

2x²+5x-3=x² +x−6x−3 =x(2x+1)-3(2x+1) =(2x+1)(x-3)

The required missing factor is (x - 3).

Given the equation, 2[tex]x^2[/tex] + 5x - 3 = (2x - 1).

To find the missing factor in the equation 2x^2 + 5x - 3 = (2x - 1), to factorize the quadratic equation on the left side and compare it to the given factor (2x - 1).

The factors will have the form (ax + b)(cx + d), where a, b, c, and d are constants.

To find values for a, b, c, and d such that (ax + b)(cx + d) is equal to

2[tex]x^2[/tex] + 5x - 3.

To determine the values of a, b, c, and d, we can use the FOIL method (First, Outer, Inner, Last). FOIL involves multiplying the first terms, the outer terms, the inner terms, and the last terms of the two binomials.

Factorize the quadratic equation:

2[tex]x^2[/tex] + 5x - 3

(2x - 1)(cx + d) = 2[tex]x^2[/tex] + 5x - 3

Expanding the left side using FOIL:

(2x - 1)(cx + d) = 2[tex]x^2[/tex] + 6x - x - 3

Combining like terms on the right side:

(2x - 1)(cx + d) = 2x( x  -  3) -1 (x - 3)

Combining like terms on the right side:

(2x - 1)(cx + d) = (2x - 1)(x - 3)

By comparing the coefficients of the terms on both sides of the equation, determine the missing factor. Observe that the coefficient of x^2 is 2 on both sides, and the coefficient of x is -1 on both sides.

Therefore, the missing factor is (x - 3).

Hence, the complete factorization of the quadratic equation

2[tex]x^2[/tex] + 5x - 3 = (2x - 1)(x - 3).

Learn more about factoring quadratic equations click here:

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Answer:

d, the number of degrees that the temperature was lowered by

Step-by-step explanation:

The dependent variable in this scenario would be d, the number of degrees that the temperature was lowered by. This is because the value of this variable depends on the actual amount of hours that have passed by. Therefore, depending on the number of hours, the value of d could be completely different. The variable h for the number of hours does not depend on any other variable in the equation and has its own value, but since d depends on h then it would be the dependent variable in this scenario.

Answer:

Step-by-step explanation:

Remark

I hope you have some idea how to make your calculator use logs. This problem is impossible without being able to take the log of each side.

Solution

log(8)^x > log 24        Logs lets you bring down x and multiply it by log24

x log 8 > log 24         Be careful what you do next. Don't use log 3

x > log(24)/log(8)

x > 1.3802/0.9031

x>1.5284

As wrong as this may look, it is correct.

Check it

8^1.5284 = 24.00395

The difference is that 1.5284 has been rounded just a slight bit.

Answer:

1.1

Step-by-step explanation:

3.3/3=1.1 hope this helps! have a good day

Answer:

3x - y = -7

Step-by-step explanation:

put into slope-intercept form the equation becomes y = 3x + 7

parallel lines have the same slope, in this case the slope is 3

Answer:answer is D

Step-by-step explanation:

Answer:

A. 10 ft

Step-by-step explanation:

Since dimensions of the wall are similar to the dimensions of the window.

Therefore, lengths and widths of wall and window would be in proportion.

So,

[tex] \frac{h}{2} = \frac{24.5}{4.9} \\ \\ h = \frac{24.5 \times 2}{4.9} \\ \\ h = \frac{49}{4.9} \\ \\ h = \frac{490}{49} \\ \\ h = 10 \: ft[/tex]

Answer:

I think 56.52

Step-by-step explanation:

To find the radius you'll have to do C=2(3.14)(9)=56.52

The table is linear because it goes up at a consistent rate each time.

Answer:

(1.) -32.4 (2.) 99.94

Step-by-step explanation:

plz mark 5 str, helpful, and brainliest!

Answer:

h = 5 units

Step-by-step explanation:

Given that,

The area of the parallelogram, A = 35 unit²

In the attached figure, we can see that the base is 7 unit.

We know that,

Area of a parallelogram, A = b × h

So,

[tex]h=\dfrac{A}{b}\\\\h=\dfrac{35}{7}\\\\h=5\ units[/tex]

So, the value of h is equal to 5 units.

Answer:

To the nearest cent, the accumulated amount over the 10 years is $5,752.67

Step-by-step explanation:

Here, we want to use the given formula to find the accumulated amount on the deposit/investment

we have this as follows;

A = P(1 + r/k)^kt

P is the amount invested which is the principal = $3,500

r is the interest rate = 5% = 5/100 = 0.05

k is the number of times interest is compounded yearly = 4

t is the number of years = 10

Substituting these values in the formula, we have;

A = 3500(1 + 0.05/4)^(4 * 10)

A = 3500 (1 + 0.0125)^40

A = 3500(1.0125)^40

A = $5,752.67

Answer:

3024

Step-by-step explanation:

3024

Option (D) 3024 is the permutation value is the correct answer.

A permutation is an arrangement of objects in a definite order. It is a number of ways a particular set can be arranged, where the order of the arrangement matters.

For the given situation,

The value of 9P4

The formula to find permutation is

[tex]nP_{r}=\frac{n!}{(n-r)!}[/tex]

Here, n = 9 and r = 4

⇒ [tex]9P_{4}=\frac{9!}{(9-4)!}[/tex]

⇒ [tex]\frac{9!}{5!}[/tex]

⇒ [tex]\frac{5!(6)(7)(8)(9)}{5!}[/tex]

⇒ [tex](6)(7)(8)(9)[/tex]

⇒ [tex]3024[/tex]

Hence we can conclude that option (D) 3024 is the permutation value is the correct answer.

Learn more about permutations here

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Answer:

1/8

Step-by-step explanation:

1/2-3/8

4/8-3/8=1/8

Answer:

root 16

Step-by-step explanation:

Answer:

2nd

Step-by-step explanation:

I hope it helps.stay learning