The container that holds the water for the football team is 1/2 full. After pouring out 3 gallons of water, it is 1/3 full. How many gallons can the container hold?

An imaginary number is denoted by i.

The value of i is √-1.

Imaginary number.

i= √-1

i² = -1

i³ = -i = -√-1

The product of 3i (5 - 3i) in the form of a + bi is

9 + 15i.

An imaginary number is denoted by i.

The value of i is √-1.

We have,

Imaginary number.

i= √-1

i² = -1

i³ = -i = -√-1

Now,

3i (5 - 3i)

Removing the parenthesis.

= (3i x 5) - (3i x 3i)

= 15i - 9(-1)

= 15i + 9

= 9 + 15i

This is in the form of a + bi

Thus,

The product of 3i (5 - 3i) in the form of a + bi is

9 + 15i.

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Answer:

133 bucks can i get brainliest

Step-by-step explanation:

Answer:

c=74

Step-by-step explanation:

Let c represent how many contacts Joy had on her phone before she updated it.

Because Joy added 26 new contacts, we can say that c+26 is equal to her new total of 100 contacts.

c+26=100

Therefore, the equation that represents this situation is c+26=100

Now, we can use our equation to solve for c.

c+26=100

Subtract both sides by 26 to isolate c

c+26-26=100-26

c=74

Therefore, Joy had 74 contacts on her phone before she updated it.

I hope this helps!

Answer: (0,3) (1.5,0)

Step-by-step explanation:

The coordinates of the equation 16x + 8y = 24 are (0,3) and (1.5,0).

Answer:

The measure of one of the acute angles is 22 degrees, and the measure of the other acute angle is 68 degrees.

Step-by-step explanation:

The angles of a triangle add up to 180 degrees; we know this by the Sum of Angles of a Triangle Theorem.

Then one angle is marked as a right angle meaning it has a measure of 90 degrees.

Using this information and the labels on the diagram we can set up an equation:

x+3x+2+90=180

Now we can solve for x.

4x+92=180

4x=88

x=22 degrees

The measure of one of the acute angles is 22 degrees.

Now to solve for the measure of the other acute angle.

Subsitute the value of x first.

x=22

(3x+2)=?

3*22+2=68 degrees

The measure of the other acute angle is 68 degrees.

In the right-angled triangle given, the measure of each of the acute angles in the given diagram are:

[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]

The triangle given is a right triangle having an angle tat is 90 degrees and two other acute angles given as: x and (3x + 2)

Thus:

[tex]x + (3x + 2) + 90 = 180^{\circ}[/tex] (sum of triangle)

[tex]x + 3x + 2 + 90 = 180[/tex]

[tex]4x + 92 = 180\\\\[/tex]

[tex]4x = 180 - 92\\\\4x =88[/tex]

x = 22

Measure of one of the acute angles is 22 degrees.

To find the second acute angle measure, substitute the value of x

3x + 2 = 3(22) + 2 = 68 degrees

Therefore, in the right-angled triangle given, the measure of each of the acute angles in the given diagram are:

[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]

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Step-by-step explanation:

a-17.9=32.4

a=32.4+16.9

a=50.3

Answer:

sas

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

SAS

Answer:

Percent air is calculated as:

Solve for total amount of air:

Substitute the values in hand to get the answer

Answer:

x + 1

y = 9

Step-by-step explanation:

In order to solve this question we need to represent "y "in terms of "x" in the first equation, and the plug in the "y" value in the first equation into the second one. Luckily for us in the first equation it already shows what "y" is equal to in terms of "x" (based on the first equation y = -x + 10). Now we just need to plug in the value that we got instead of "y" in the second equation, and so we get....

y = 7x + 2

(plug in the y value and get the following ….)

-x + 10 = 7x + 2

(now just solve the following equation)

-x + 10 + x = 7x + 2 + x

10 = 8x + 2

10 - 2 = 8x + 2 - 2

8 = 8x

8/8 = 8x/8

1 = x

Now that we know the value of "x", all we need to do now is substitute the value of "x" into any of the equations and we will get the value of "y". So we do the following.....

y =  7x + 2

y = 7(1) + 2

y = 7 + 2

y = 9

Answer:

Both are correct

Step-by-step explanation:

All the angles are equal, therefore causing the triangles to be similar.

Answer:

The relationship between the graphs of the two functions is "They are reflections of each other across the y-axis" ⇒ B

Step-by-step explanation:

∵ The points on f(x) are (-2, -31), (-1, 0), (1, 2), (2, 33)

∵ The points on g(x) are (2, 3), (1, 0), (-1, 2), (-2, 33)

∵ All x-coordinates on f(x) multiplied by -1 to get the x-coordinates of g(x)

→ By using the 2nd rule above

∴ g(x) is the image of f(x) after reflection across the y-axis

∴ The relationship between the graphs of the two functions is

    "They are reflections of each other across the y-axis"

Answer:

Probability = [tex]\frac{22}{31}[/tex]

Step-by-step explanation:

Number of students working part time, living in dorm = 22

Total number of students working part (either living in dorm or not in dorm)

= 22 + 9

= 31

Probability of the students working part time and living in dorm,

P = [tex]\frac{\text{Favorable event}}{\text{Total outcomes}}[/tex] = [tex]\frac{\text{Students working part time either living in dorm}}{\text{Total number of students working part time either living in dorm or not}}[/tex]

P = [tex]\frac{22}{31}[/tex]

Therefore, probability of the students chosen that he/she is working part time given that he/she lives in dorm is [tex]\frac{22}{31}[/tex].

Answer:

a=3.63

Step-by-step explanation:

Isolate the variable by dividing each side by factors that contain the variable.

Answer:

Bet

Step-by-step explanation:

Step-by-step explanation:

4x - 5 > 4

4x > 9

x > 2.25

Hence the integer values of x that satisfy are 3, 4, 5, 6, 7 and 8.

Answer:

1. 1/3 or 1 red paint : 3 yellow paint

2. 3/1 or 3 or 3 yellow paint : 1 red paint

Step-by-step explanation:

First figure out red to yellow

2 parts red : 6 parts yellow

simplified it is 1 part red : 3 parts yellow or 1/3

Repeat for ratio of yellow to red

6 parts yellow : 2 parts red

simplified is 3 yellow : 1 red or 3/1 or 3

Please give thanks, hit the heart button :)

Step-by-step explanation:

2 !!!

hope it helps

have a great day:))

Answer:

2 :D

Step-by-step explanation:

......thank you....

Answer:

In the top green thing goes X in the bottom one it goes Y

X: 1,2,3,4,5

Y: 20, 28, 36, 46, 52

Step-by-step explanation:

Answer:

The asnwer is 83.6 :)

Step-by-step explanation:

7.6x11=83.6

Answer:

i think its B .-.

Step-by-step explanation:

the other numbers are less than the ones up above

Answer:

The answer is 5

Step-by-step explanation:

Answer:

1. b =1/2 (4)(3.5)

v=(14)(8)

2.b= 1/2 (9)(12)

V=(54)(13)

3.b= 1/2(7)(6.1)

v= (21.35)(9)

Answer:

0.33333333

Step-by-step explanation:

4 divided by 12 would be written like this: 4/12

it's always good to simplify if possible, so it should look like this: 1/3

3 which is the denominator would be divided by 10, so 3/10 = 0.33333333

0.33333333 is the answer because the numerator is how many times you multiply it, and 1*0.33333333 = 0.33333333

Answer:

She earned $360 on that paycheck.

Step-by-step explanation:

From the information given, you know that Angela transfers 15% of each paycheck and that she transferred $54 last week. With this, you can say that the amount she earned multiply for 15% is equal to 54, which you can express with the following equation:

0.15x=54, where x is the amount she earned on that paycheck.

Now, you can solve for x:

x=54/0.15

x=360

According to this, the answer is that she earned $360 on that paycheck.

Answer: yes

Step-by-step explanation:

Step-by-step explanation:

let c=x1, y1 and d=x2,y2

Then distance=√(4-2)²+(1-1)²

= √4+0

=2

ans is 2 units

Answer:

.17 per once for the smaller box and .15 for the bigger box

Step-by-step explanation:

Answer:

y = 15 + 7.50x

Step-by-step explanation:

It is given that, At a park, the cost to rent a bike has an initial fee of $15.00 plus $7.50 per hour.

Let the number of hours is x and the total cost is y.

When the bike is rented for x hours, its cost will be 7.50x.

Total cost (y) in terms of number of hours is given by :

y = 15 + 7.50x

Hence, this is the required equation.

Answer:

I believe it is y=1/4x.