Drag and drop one equation into the space provided which correctly shows the relationship between the variables in the table.

Answer:

b is the answer

....................

Answer:

B.

Step-by-step explanation:

The negative (-) must be within the parentheses “(..)”. The expression is repeated four times, thus (-2/3)^4

Answer:

the answer is D

............

Answer:

The answer is (D)

Step-by-step explanation:

[tex]6(y + 3) - 3(y - 2) = 18 \\ 6y + 18 - 3y + 6 = 18 \\ [/tex]

Answer:2.55 in fraction form is 51/20.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

[tex]7 \frac{1}{2} \div \frac{3}{4} \\ [/tex]

[tex] \frac{15}{2} \div \frac{3}{4} \\ [/tex]

[tex] \frac{15}{2} \times \frac{4}{3} \\ [/tex]

[tex] \frac{60}{6} = 10 \\ [/tex]

Answer:

The height of the second cylinder is 30mm

Step-by-step explanation:

Given

Cylinder 1:

[tex]R = 15mm[/tex]

[tex]H = 45mm[/tex]

Cylinder 2

[tex]r = 10mm[/tex]

See attachment

Required

Determine h, the height of the small one

To do this, we make use of the following equivalent ratios;

[tex]R : H = r : h[/tex]

This gives:

[tex]15 : 45 = 10 : h[/tex]

Express as fraction

[tex]\frac{15 }{ 45 }= \frac{10 }{ h}[/tex]

Simplify

[tex]\frac{1 }{ 3}= \frac{10 }{ h}[/tex]

Cross multiply

[tex]h *1 = 3 * 10[/tex]

[tex]h = 30[/tex]

Answer:

its upside down turn it around

Step-by-step explanation:

Answer:

It would be a simple sentence, since it is a single clause by itself.

Note that this is something for the Language Arts section, please post your questions of that topic in that section, not in the Math section.

Answer:

Hello! answer: 80

Step-by-step explanation:

When doing the Pythagorean theorem you do...

a^2+b^2=c^2 which is just A multiplied byitself + B multiplied byitself that will equal the number that C multiplied by itself would equal then you just figure out what multiplied byitself equals that number and thats the answer so...

64 × 64 = 4096 48 × 48 = 2304

4096 + 2304 = 6400 80 × 80 = 6400 therefore c = 80 hope that helps!

Answer:

c = 80 inches

Step-by-step explanation:

The length of the hypotenuse can be found by using the following formula in which "c" is the length of the hypotenuse, and "a" and "b" are the legs of the right angles triangle.

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

[tex]c= \sqrt{64^{2} + 48^{2} } \\c= \sqrt{4096 + 2304} \\c = \sqrt{6400} \\c = 80 inches[/tex]

Given:

The diameter of a circle = 20 feet

To find:

The exact circumference of the circle.

Solution:

We know that the radius is half of the diameter of the circle.

The diameter of a circle is 20 feet. So, the radius of the circle is 10 feet.

The circumference of the circle is:

[tex]C=2\pi r[/tex]

Where, r is the radius.

Substituting [tex]\pi = 3.14, r=10[/tex], we get

[tex]C=2(3.14)(10)[/tex]

[tex]C=(6.28)(10)[/tex]

[tex]C=62.8[/tex]

Therefore, the exact circumference of the circle is 62.8 feet.

Note: All options are incorrect.

Answer:

Hi there, the correct answer should be...

The mean age of the children is 5.

Step-by-step explanation:

mean:average

1 + 5 + 4 + 8 + 2 + 5 + 10 = 35

35 ÷ 7 = 5

Answer:

A

Step-by-step explanation:

y - 3 = 5(x - 2)

y - 3 = 5x - 10    Add 3 to both sides

y = 5x - 7

Let x = 2

y = 5*2 - 7

y = 3

So (2,3) works

Let x = 3

y = 5*3 - 7

y = 15 -7

y = 8

The answer is A

The length of a chord which is 24cm from the Centre is: 14 cm

Applying the Pythagorean theorem to the two right angle triangles that will be formed gives the radius of the circle from the first condition as:

R = √[(30/2)² + 20²]

R = √(15² + 20²)

R = √625

R = 25 cm

The length L of the another chord is calculated as:

L/2 = √(R² - 24²)

L/2 = √(25² - 24²)

L/2 = √49

L/2 = 7

L = 14 cm

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Answer:

13.80 there you go buddy

Answer:

She would need an 83 in math if she wants to have an overall average equivalent to the first quarter . Tell me if im wrong

Step-by-step explanation:

Answer:

$42.50

Step-by-step explanation:

discount reduces the price of the good

discount value = 15% x 50 = 0.15 x 50 = 7.5

sales price = 50 - 7.5 = 42.50

The number of personal trips for leisure travel will be equal to 1.5 billion.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that out of 2 billion person trips, 75 per cent were leisure travel.

The number of the person trips will be calculated as,

N = ( 2 x 75 ) / 100

N = 150 / 100

N  = 1.5 Billion

Therefore, the number of personal trips for leisure travel will be equal to 1.5 billion.

To know more about percentages follow

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Answer:

6

Step-by-step explanation:

4 – (3 – 5) =

PEMDAS says parentheses first

4 – (-2) =

Subtracting a negative is like adding

4 +2

6

Answer:

2-

Step-by-step explanation:

.....................................................................

Answer:

120° or 300°

Step-by-step explanation:

Given,

Slope (m) = -√3

Inclination (α) = ?

Now,

We know,

m = tanα

or, -√3 = tanα

or, tan(120° or 300°)  = tanα

∴ α = 120° or 300°

∴ Inclination is 120° or 300°

Answer:

4

Step-by-step explanation:

3+7+2

12

12/3

4

Answer:

16 hours

Step-by-step explanation:

120/4 = 30 miles per hour

480/30 = 16 hours

Answer:

y - x= - 13   -------(1)

- 4x + 3y = -51 -------(2)

(1) => y = - 13 + x

Substitute y in (2)

- 4x + 3( - 13 + x) = -51

- 4x - 39 + 3x = -51

- x = -51 + 39

- x = -12

x = 12

Substitute x in (1)

y = - 13 + x = -13 + 12 = - 1

x = 12, y = -1

Answer:

B.

Step-by-step explanation:

9514 1404 393

Answer:

  C.  205.3 units²

Step-by-step explanation:

The volume of the figure is the sum of the volumes of ...

  1/2 sphere of radius 2

  cylinder of radius 2 and length 12

  cone of radius 2 and length 9

The formulas for the volumes of a sphere, cylinder, and cone are ...

  V = 4/3πr³ . . . sphere

  V = πr²h . . . . cylinder

  V = 1/3πr²h . . . cone

Then the sum of the volumes is ...

  1/2 sphere + cylinder + cone = (1/2)4/3πr³ +πr²h +1/3πr²h'

     where h is the cylinder height and h' is the cone height

  = πr²(2/3r + h + 1/3h')

  = π(2²)(2/3·2 +12 +1/3·9) = π(4)(16 1/3) = π(65 1/3) ≈ 205.2507

The volume of the figure is about 205.3 units³.

Answer:

i believe the answer is 1/9, sry if im wrong

Step-by-step explanation:

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

24 is a common multiple so ill just use that as a denominator:

3/8 = 9/24

1/3 = 8/24

1/4 = 6/24

so then adding those up:

[tex]\frac{9}{24}[/tex] + [tex]\frac{8}{24}[/tex] + [tex]\frac{6}{24}[/tex] = [tex]\frac{23}{24}[/tex]

then whats left is 1/24 left to read, which cant be simplified so [tex]\frac{1}{24}[/tex]

Answer:

   [tex]\frac{1}{24}[/tex]

Step-by-step explanation:

Let x be the part of the book he read on fourth day.

[tex]\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1[/tex]

[tex]LCM \ of \ 8, 3 , 4 = 24.\ Therefore , \\\\[/tex]

[tex]\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1\\\\\frac{9 + 8 + 6 + 24x}{24} = 1\\\\23 + 24x = 24\\24x = 1\\x = \frac{1}{24}[/tex]

[tex]On\ the\ fourth\ day\ he\ read\ \frac{1}{24} \ of\ the\ book\ to\ finish\ it.[/tex]

Answer:

so here 25%=5

25×2=50, 5×2=10

50%=10

50%+50%=10+10

100%=20

baker makes total 20 cakes

Answer: D) The sum of a number and twelve

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Explanation:

r = an unknown number

r+12 = sum of the unknown number and 12

The term "sum" refers specifically to the result of an addition problem.

As another example, saying 2+3 = 5 has a sum of 5.