i back at you with another question..!

Answer:

-11/24 and -4/9

Step-by-step explanation:

A rational number is a fraction in the form a/b where both a and b are integers and b is not equal to zero.

Given the numbers -1/3 and -1/2, to place two numbers between them, we have to first find the width between the two numbers.

Width = -1/3 - (-1/2) = -1/3 + 1/2 = 1/2 - 1/3 = 1/6

Since two numbers are to be placed between -1/3 and -1/2, we have to divide the width into 3 which results to 1/6 ÷ 3 = 1/18

The first number placed is -1/3 - 1/18 = -11/24

The second number is -11/24 - 1/18 = -4/9

[tex] \Large{ \boxed{ \rm{ \red{Refer \: to \: the \: attachment}}}}[/tex]

➤ Like Here, AB = BC and AD = CD

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Answer:

$556

Step-by-step explanation:

4+7+6+10+8=35

35x12=420

4x14=56

5x16=80

420+56+80=556

Answer:

$556.

Step-by-step explanation:

So she is paid $12 dollars for every bicycle assembled on a weekday,

paid $14 dollars for every bicycle assembled on Saturday, and is

paid $16 dollars for every bicycle assembled on Sunday.

She assembled 4 on Monday, 7 on Tuesday, 6 on Wednesday, 10 on Thursday, 8 on Friday, 4 on Saturday, and 5 on Sunday.

In other words, she assembled on total of 4+7+6+10+8=35 bicycles during the weekdays. And she assembled 4 on Saturday and 5 on Sunday.

In other words, her total pay is:

[tex]\$12(35)+\$14(4)+\$16(5)=\$556[/tex]

Answer:

english i think u need hekp

Answer:

x + y + z = 4

Step-by-step explanation:

Give equations are,

2x + 3y - z = 5 --------(1)

x - 3y + 2z = -6 --------(2)

3x + y - 4z = -8 --------(3)

By adding equations (1) and (2),

(2x + 3y - z) + (x - 3y + 2z) = 5 - 6

3x + z = -1 -------(4)

By multiplying equation (3) by 3, then by adding to equation (2)

(9x + 3y - 12z) + (x - 3y + 2z) = -24 - 6

10x - 10z = -30

x - z = -3 --------- (5)

By adding equation (4) and (5),

(3x + z) + (x - z) = -1 - 3

4x = -4

x = -1

From equation (5),

-1 - z = -3

z = 2

From equation (1),

2(-1) + 3y - 2 = 5

-2 + 3y - 2 = 5

3y = 5 + 4

y = 3

Therefore, x + y + z = -1 + 3 + 2

x + y + z = 4

Answer:

what number must be added to sum of two angles that the sum of three angles become 180.

Since sum of two angles is 100 , 80 must be added to 100 to make it equal to 180.

Step-by-step explanation:

Given

sum of measure of angle of triangle = 180°

given two angles 40°and  60°

Let the third angle be x°

thus

40°+  60°+x° = 180°

100°+x° = 180°

x° =  180°- 100° =  80°

Thus, third angle measure 80°

She must have sum the first two known angles.

as given sum of three angles are 180

she must have assumed other angle to be x

then sum of all three angles must be 180

now to find third angle she subtracted sum of two known angles to find third angle.

other way can what number must be added to sum of two angles that the sum of three angles become 180.

Since sum of two angles is 100 , 80 must be added to 100 to make it equal to 180.

Answer:

[tex]\Large \boxed{\mathrm{Option \ 2}}[/tex]

Step-by-step explanation:

[tex]2x^2 =16[/tex]

The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 2 before applying the square root property.

The x variable should be isolated on one side of the equation. The x variable is squared so before performing the square root property where we take the square root of both sides, we divide both sides by 2, then take the square root of both sides.

Dividing both sides by 2.

[tex]\displaystyle \frac{2x^2 }{2} =\frac{16}{2}[/tex]

[tex]x^2 =8[/tex]

Taking the square root of both sides.

[tex]\sqrt{x^2 } =\pm \sqrt{8}[/tex]

[tex]x=\pm 2\sqrt{2}[/tex]

Answer:

Option 2

Step-by-step explanation:

2x² = 16

Since x is completely squared and and 2 isn't , so we need to divide both sides by 2. As to find x , we need to "isolate" x first so that is why we need to get rid of 2 with the x². We'll divide both sides by 2 in order to get rid of 2.

Dividing both sides by 2

=> x² = 8

Now , that is the x is isolated so we'll take square root on both sides

=> x = ±2√2

Answer:

D. 4x+5x=180

Step-by-step explanation:

Answer:

D. 4x + 5x = 180

Step-by-step explanation:

The two angles form a straight line and a straight line equals 180°. So, the sum of the two angles has to equal 180°.

4x + 5x = 180

9x = 180

x = 20°

Hope that helps.

Answer:

-2≤x≤2   f(x)=[x+3]

first  the sign is ≤ it means the point is solid point and the interval is x+3

Answer:

2−12x+36

Step-by-step explanation:

Answer:

(x-6)² = (x-6)(x-6) = x² - 12x + 36

Step-by-step explanation:

Answer: unbiased; simple random sampling

Step-by-step explanation:

From the question, we are informed that John wanted to know about the popularity of a particular movie and that he surveyed 20% of the people in 5 different theaters.

This is an unbiased sample. This is because everybody at the theaters have an equal chance of being chosen by John.

Also, it's a simple random sampling. This is because a subset of the entire population is randomly selected.

Answer:

549 ft

Step-by-step explanation:

take 670ft away from 1,220 ft ( not all the way sure of I'm right)

Answer:

550

Step-by-step explanation:

1,220+(-670)= 550

Thank you! :)

1) 9.8 cm

3) 194.68 kilo litters

Step By Step Explanation

Sister these questions are related to volume of cylinder.

You need to use this formula πr²h [ Where r is radius and h is height or depth]

_______________________________________

3)

Given:

Diameter = 4m

Therefore radius = 2m

Depth is 31/2 m

To Find:

How many kilo litters will it hold ?

Actually It's asking about Volume.

Solution:

You know, volume = πr²h

[tex] = \pi {(2 \: m)}^{2} \times ( \dfrac{31}{2})m[/tex]

[tex] = 3.14 \times 4 \: {m}^{2} \times \dfrac{31}{2} m[/tex]

[tex] = \: 62 \times 3.14 \times {m}^{3} \sf [\because \: {m}^{3} = kilolitters][/tex]

[tex] = \sf 194.68 \: \: kilolitters[/tex]

_______________________________________

1)

Given:

Diameter = 14 cm

[tex] \sf \therefore \: radius \: = 7 \: cm[/tex]

height = 20 cm

Diameter of other cylinder = 20 cm

[tex] \sf \therefore \: radius = 10 \: cm[/tex]

To Find:

Deep of water in other cylinder

Consider the depth of water be x

Solution:

Volume of water will remain constant in both

So,

[tex]V_1 = V_2[/tex]

[tex] \sf \: \pi {(r_1)}^{2} h_1 = \pi {( r_2 )}^{2} h_2[/tex]

[Eliminating π from both sides]

[tex] {(7)}^{2} \times 20= {(10)}^{2}x[/tex]

[tex]49 \times 20 = 100x [/tex]

[tex]x = \dfrac{49 \times 2}{10} [/tex]

[tex]x = \dfrac{98}{10} \implies \: 9.8[/tex]

Therefore the required value of x is 9.8 cm .

Answer:

After 4 months Xian will have 104 stamps,

But after three months Kai will also have 104 stamps

Step-by-step explanation:

Answer:

4 terms

constant 10

third term is -7z

coefficient of the second term is 3

Step-by-step explanation:

-5x+3y -7z +10

There are 4 terms, -5x, 3y ,-7x, 10

The constant is the term without the variable ( letter)

The constant is 10

The third term is -7z

The coefficient is the number in front of the variable

The coefficient of the second term 3y is 3

For part a, we are asked how many terms does this expression have.

Well a term can be a number, a variable, or it can

even be a number times one or more variables.

So the terms would be -5x, +3y, -7z, and +10.

For part b, we are asked what is the constant.

Usually, constants are numbers all by themselves.

So here, the constant would be 10.

In part c, we are asked what is the third term.

Well, looking at the expression, we can see that -7z is the third term.

Finally, what is the coefficient of the second term.

The coefficient is the number before your variable.

So here, the coefficient would be 3.

Answer:

10 batches - they only have 10 eggs, so they can't make any more batches without them

Answer: [tex]x=-3/4[/tex]

Subtract 36x from both sides

[tex]20x-2-36x=36x+10-36x\\-16x-2=10[/tex]

Add 2 to both sides

[tex]-16x-2+2=10+2\\-16x=12[/tex]

Divide both sides by -16

[tex]\frac{-16x}{16} =\frac{12}{-16} \\x=\frac{-3}{4}[/tex]

Answer:

x = - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Given

20x - 2 = 36x + 10 ( subtract 36x from both sides )

- 16x - 2 = 10 ( add 2 to both sides )

- 16x = 12 ( divide both sides by - 16 )

x = [tex]\frac{12}{-16}[/tex] = - [tex]\frac{3}{4}[/tex]

As a check

Substitute this value into the equation and if both sides are equal then it is the solution.

left side = 20 × - [tex]\frac{3}{4}[/tex] - 2 = - 15 - 2 = - 17

right side = 36 × - [tex]\frac{3}{4}[/tex] + 10 = - 27 + 10 = - x17

Since both sides are equal then x = - [tex]\frac{3}{4}[/tex] is the solution

Answer:

AB = 3π

Step-by-step explanation:

The formula for the circumference of a circle is:

C = 2πr

By substituting 27 for r:

C = 2π(27)

C = 54π

The whole circumference is 54π. A circle is 360º around. We can set up a proportion to find the length of the 20º arc:

[tex]\frac{360}{54p}[/tex] = [tex]\frac{20}{x}[/tex]

Cross-multiply:

360x = 1080π

Divide both sides by 360:

x = 3π

AB = 3π

Answer:

AB = 3π

Step-by-step explanation:

The arc AB can be calculated as

AB = circumference of circle × fraction of circle

The central angle is equal to the measure of arc AB = 20° , thus

AB = 2πr × [tex]\frac{20}{360}[/tex]

     = 2π × 27 × [tex]\frac{1}{18}[/tex] ( cancel 18 and 27 by 9 )

     = 2π × 3 × [tex]\frac{1}{2}[/tex] = 6π × [tex]\frac{1}{2}[/tex] = 3π

Complete question:

One researcher wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of 0.28 hours is desired. Past studies suggest that a population standard deviation of 1.5 hours is reasonable. Estimate the minimum sample size required to estimate the population mean with the stated accuracy.

Answer:

111 students

Step-by-step explanation:

Given the following :

Margin of Error (E) = 0.28

Population standard deviation (sd) = 1.5

Recall:

Margin of Error(E) = Z * (sd/√n)

Taking a confidence interval of 95%

The Z value at a 95% confidence interval is 1.96

Plugging our values, we have :

Margin of Error(E) = Z * (sd/√n)

0.28 = 1.96 * (1.5/√n)

0.28 = 2.94 / √n

√n × 0.28 = 2.94

√n = 2.94 / 0.28

√n = 10.5

Square both sides to obtain n

n = 10.5^2

n = 110.25

Answer:

V = 300[tex]\pi[/tex] in³ or 942.48 in³

Step-by-step explanation:

Use the cylinder volume formula, V = [tex]\pi[/tex]r²h, where r is the radius and h is the height.

Plug in the values and solve:

V = [tex]\pi[/tex](5²)(12)

V = 300[tex]\pi[/tex] in³ or 942.48 in³

Answer:

(x+1)(x+1)(2x−5)(x^2−4x+5)

Step-by-step explanation:

2x^5−9x^4+6x^3+22x^2−20x−25

2x^5−9x^4+6x^3+22x^2−20x−25

=(x+1)(x+1)(2x−5)(x2−4x+5)

Answer:

. an=4(2n−1)

Step-by-step explanation:

Answer:

3900

Step-by-step explanation:

since its to the nearest 100th we use the common rule that if the number is greater than half way then we round up otherwise if it is less then we round down. In the number 3867, 867 is greater than 850 so we round up. It becomes 3900 then.

Answer:

Step-by-step explanation:

Let n and r represent the output in liters per hour of the Nguyen and Reed family sprinklers, respectively. Then we have ...

  15n +25r = 1175 . . . . total sprinkler output

  n + r = 55 . . . . . . . . . sum of two output rates

The second equation tells us we can substitute n = 55 -r into the first equation:

  15(55 -r) +25r = 1175

  10r = 1175 -825 . . . . . . subtract 825

  r = 350/10 = 35 . . . . . . divide by 10

  n - 55 -35 = 20 . . . . . . find n from r

Nguyen family's sprinkler: 20 L per hour

Reed family's sprinkler: 35 L per hour

Answer:

BH= 108 --> 1st until 6th space

so, 108/6 = 18 for each space

DE...?

DE only use 1 space so the answers is 18 unit

I hope this helps^_^

Answer:

m = -2

Step-by-step explanation:

First, let's move all variables to one side of the equation. (Don't forget to change the signs when you move the numbers to the other side.)

18m + 7m = -60 + 2 + 8

Now we simplify to get this:

25m = -50

Now we divide -50 by 25 which gets us -2.

Therefore, m = -2

Hope this helps!

Answer:

Alexis sold 22 lemon cups, 5 of the cups she sold were large and the rest were small, how many small cups did she sell?

Answer:

Area=1,288.88m²

Step-by-step explanation:

A circular hall(big room) has a hemispherical roof.The greatest height is equal to the inner diameter.Find the area of the floor,given that the capacity of the hall is 43510 cubic meter

Solution

let

diameter = D

radius,r = D/2

Greatest height = D

height of cylindrical part (h)= D-r = r

radius of cylindrical part = r

area of floor = πr²

volume = volume of cylindrical part + volume of hemispherical part

= πr²h + 2/3 πr³

Recall h=r

volume = πr³ + 2/3 πr³

43510=5/3πr³

Make r the subject

r=3√(43510*3)/5π

=3√(130,530/15.7

=3√8,314.01

=20.26

Area of floor = πr²

=3.14*(20.26)²

=3.14*410.47

=1,288.88m²

Answer:

Step-by-step explanation:

the answer is option D

WHEN YOU SUBSTITUTE THE VALUES YOU WILL GET IT............

Answer:

The correct option is;

A. The total points Shelly earned

Step-by-step explanation:

The given details are;

The number of tasks completed by Shelly and Terrence in the game = x

The total points scored by Terrence = 20 less than the total point scored by Shelly

The expression for Terrence's total point is 90·x - 20

Let the total points Shelly earned = Y

Therefore since the total points scored by Terrence = 20 less than the total point scored by Shelly, we have;

The total points scored by Terrence = Y - 20

Comparing the two expressions for the total points scored by Terrence which are;

90·x - 20 and Y - 20 we have;

90·x - 20 = Y - 20

Adding 20 to both sides of the equation gives;

90·x - 20 + 20= Y - 20 + 20

Which gives;

90·x = Y

Therefore, the first term of the expression 90·x - 20, which is 90·x is equal to Y, which is the total points Shelly earned

The correct option is therefore the total points Shelly earned.

Answer:

A. The total points Shelly earned

Step-by-step explanation:

Hope this helps!

Have a great day! :)