x = 2y - 7
4x + y = 71

Answer:

h = 4

Step-by-step explanation:

The volume of a cylinder is [tex]\pi r^2*h[/tex]

V = 48π

AB = 12π

So since the area of the base is 12π, you can find the height by simply dividing 48π by it.

48π ÷ 12π = 4

2(2x+7)-7(x+1)=28

4x+14-7x-7=28

4x-7x=28+7-14

-3x=28-7

-3x=21

pls mark mine as brainliest :D

x=-7

Answer:

After three days Heng will have 9000.15 in his account.

Step-by-step explanation:

In order to solve this problem, we must apply the correct formula, which is given below:

[tex]M = C*(1 + r/n)^{n*t}[/tex]

Where M is the final amount, C is the money invested, r is the annual interest rate, n is the number of times the money gets compounded in a year and t is the time elapsed. Since in this account the money is compounded daily, it means that for each year it gets compounded 365 times, therefore n = 365.  The ammount will be compounded for 3 days, therefore we must convert this value to years in order to apply it in the "t" variable, we do that by dividing it by 365. With this knowledge we can solve the problem as shown below:

[tex]M = 9000*(1 + \frac{0.002}{365})^{365*\frac{3}{365}[/tex]

[tex]M = 9000*(1.000005479)^{3}\\M = 9000.15\\[/tex]

After three days Heng will have 9000.15 in his account.

Answer:

a.  x = 61 degrees.

Step-by-step explanation:

By the External angle of a Triangle Theorem:

116 = 55 + x

x = 116 - 55

x = 61 degrees.

Answer:

a) 61

Step-by-step explanation:

The classic way to do this is to subtract 116 from 180, then adding that result to 55 and subtracting this second result from 180.

But another way that I have discovered is to subtract 55 from 116. You will get the same answer of 61.

2820

Step-by-step explanation:

Answer:

DC = DA Given

DB = BD Reflexive property

ΔDCB ≅ ΔDAB LH

∠DBC = ∠ABD = 20°

Hope this helps!

Answer:

[tex] \frac{8}{17}[/tex]

Step-by-step explanation:

[tex] \because \cos (\beta) =\frac{BC}{AB}\\\\

\huge \red {\boxed {\therefore \cos (\beta) =\frac{8}{17}}} [/tex]

Answer:

The top two are 3 and 4.

The bottom two are both 6.

Step-by-step explanation:

You see how the top one is a 7, you divide it into 2 in any way.

Like how I did 3 and 4 which would equal to 7, it can also be 6 and 1 etc..

And for the bottom one it doesn't change.

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day! =)

Answer:

f(3) = 63

Step-by-step explanation:

f(x) = 4^x-1;

Let x =3

f(3) = 4^3 -1

     = 64-1

     =63

Answer:

f(3)=16

Step-by-step explanation:

This question asks us to find f(3). We have to find what f(x), or y is, when x is equal to 3.

f(x)=4^x-1

Substitute 3 in for x.

f(3)=4^3-1

First, subtract what is in the exponents.

f(3)=4^2

4^2 is the same as multiplying 4, 2 times.

4^2=4*4=16

f(3)=16

Answer:

erm

Step-by-step explanation:

2 5/9

Answer:

2 5/9

Step-by-step explanation:

8-5 4/9=2 5/9

Answer:

Therefore the expression that finds the coterminal angles is:

[tex]coterminal = 126\º \pm 360[/tex]

Step-by-step explanation:

Coterminal angles are angles that finish at the same line. Therefore in order to find the coterminal angles with 126º we need to add or subtract a angle of 360º. So the expressions are:

coterminal angle = 126º + 360º = 486º

coterminal angle = 126º - 360º = -234º

Therefore the expression that finds the coterminal angles is:

[tex]coterminal = 126\º \pm 360[/tex]

Answer:

126° + (720n)°, for any integer n or D on edge :)

Step-by-step explanation:

Because me big brain

Answer:

B

Step-by-step explanation:

Graph B represents a linear function.

Notice that graph D also shows a line, but it is not the graph of a function, since it doesn't pass the vertical line test for functions.

Graph A shows a quadratic function, and graph C shows likely an exponential function. It is graph B the one that is linear, and a function as well.

Answer: It is B.

Step-by-step explanation:

A is a quadratic function

B is a linear function because it is a straight line and every input has exactly one output.

C is a is not straight

D failed the vertical line test.

Answer:

7.4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The shape was reflected across the purple line

Answer:

Reflection

Step-by-step explanation:

Answer:

B, 5x - 3 = 12

Step-by-step explanation:

3 less means subtracting, it's going to be -3.

It says 3 less than five times a number, meaning we don't know the number, so we can put it as x.

3 less means your subtracting from something, which would make it 5x - 3.

Finally, they state that it equals 12, making the equation 5x - 3 = 12.

Answer:

10.50

Step-by-step explanation:

Answer:

C and D on E2020

Step-by-step explanation:

Answer:

There are no tables, but... I made a quick graph.

Step-by-step explanation:

y=2x-1 means that you start at (0,-1), one down from the origin (0,0). From there, you go up 2 and right one (1, 2), as well as down 2 and left 1 (-1, -2), since the slope is 2 (or [tex]\frac{2}{1\\}[/tex]). The lines continues in both directions, of course.

The table for the equation is y = 2x - 1

x y

0 -1

1 1

2 3

To determine which table represents the equation y = 2x - 1, we substitute the values of x into the equation and check if the resulting y values match those given in the table.

Substitute the values 0, 1, and 2 into the equation y = 2x - 1 and calculate the corresponding y-values:

For x = 0:

y = 2(0) - 1

y = 0 - 1

y = -1

For x = 1:

y = 2(1) - 1

y = 2 - 1

y = 1

For x = 2:

y = 2(2) - 1

y = 4 - 1

y = 3

The corresponding y-values for x = 0, 1, and 2 are -1, 1, and 3, respectively.

Learn more about tables  at

https://brainly.com/question/12151322

#SPJ6

Answer:

7/13 or 54% or about 0.54

Step-by-step explanation:

Answer:

$1193

Step-by-step explanation:

First we need to find the volume of one pedestal, that has a cylindrical part and a cubic part.

The volume of the cylindrical part is:

V1 = pi * r^2 * h

The radius is half the diameter, so r = 8/2 = 4 in. So the volume is:

V1 = pi * 4^2 * 3 = 48pi in3

The volume of the cubic part is:

V2 = side^3 = 8^3 = 512 in3

So the total volume of the pedestal is:

V = V1 + V2 = 512 + 48pi in3

If we want 15 pedestals, we have a total volume of:

15 * V = 15 * (512 + 48pi) = 9941.9467 in3

As each cubic inch costs $0.12, we just need to multiply the volume by the price to find the total cost:

Cost = 9941.9467 * 0.12 = $1193.03

Rounding to the nearest dollar, we have a cost of $1193

Answer:

The value of [tex]x[/tex] :

[tex]x = 16[/tex]

Step-by-step explanation:

-To find the value of x, you need to use [tex]3x + 18[/tex]  and [tex]66\textdegree[/tex] written as in equation like this:

[tex]3x + 18 = 66[/tex]

-Then, you solve for it:

[tex]3x + 18 = 66[/tex]

[tex]3x + 18 -18 = 66 -18[/tex]

[tex]3x = 48[/tex]

[tex]\frac{3x}{3} = \frac{48}{3}[/tex]

[tex]x = 16[/tex]

So, therefore the final answer is [tex]x = 16[/tex].

Answer:

180 - 62 - 57 = 61

∠BAD = 180 - 61

∠BAD = 119°

Step-by-step explanation:

Answer: 1/4 full.

Step-by-step explanation:

The question is asking for how much gas will be left in the tank after 2/3 of the gas in the tank is used.

There is currently 3/4 of the tank remaining.

To find 2/3 of 3/4, you can multiply the fractions together.

Do this by multiplying both numerators and both denominators:

[tex]\frac{2}{3} *\frac{3}{4} = \frac{2*3}{3*4} = \frac{6}{12}[/tex]

Then, subtract 6/12 from 3/4. You can do this by simplifying the first fraction to 2/4 (divide both the numerator and denominator by 3).

3/4 - 2/4 = 1/4

There will be 1/4 of the tank left.

Answer:

1/4

Step-by-step explanation:

We have 3/4 of a tank

We will use 2/3 of the  gas in the tank

See the diagram  That will leave us 1/4

Mathmatically

3/4*2/3 = 2/4 =1/2  this is the amount that is used

Subtract this from the amount in the tank

3/4 -1/2

3/4 -2/4 = 1/4

This is the amount that is left in the tank

Answer:

Step-by-step explanation:

the volume of a rectangle is length x width x height, so the volume of the first rectangle is 2700.

the square has a length and width of 15 with a missing height. because they have the same volume, you can plug in the length and width of the square with the volume of the prism to find the height

v = length x width x height

2700 = (15)(15)h

2700/225 = h

the height is 12

Answer:

Rectangle. length x width = area

10x4=40

triangle. base x height / 2 = area

3x4=12/2=6

40+6= a total of 46 square meters

Step-by-step explanation:

Answer:       336

Step-by-step explanation:

Answer:

336

Step-by-step explanation:

answer of 150% of 224 is336

Answer:

552.64 cubic centimeters

Step-by-step explanation:

The volume of a cylinder is:

[tex]\pi r^2 h=\\\\3.14 \cdot 4^2 \cdot 11=\\\\3.14 \cdot 176=\\\\552.64[/tex]

Hope this helps!

So the right answer is 552.64cm^3

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

23/21 liters

Step-by-step explanation:

Celia drank

Before going jogging=2/3

After jogging=3/7

Total amount of water drank by Celia=2/3+3/7

L.C.M of the denominators 3 and 7 is 21

=14+9/21

=23/21

=1 2/21 liters

Answer: 23/21

Step-by-step explanation:

Litre of Water drank before jogging = 2/3

Litre of water drank after jogging = 3/7

The total amount of water drank altogether ;

2/3 + 3/7

The lowest common factor of 3 and 7 = 21

= (14 + 9)/21

= 23/21 litres

= 1 2/21 litres [1 whole number 2/21]

Answer:

y= -1/4x+3

Step-by-step explanation: