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Answer:

14 ; 40

Step-by-step explanation:

Number of unpopped popcorn = 1600 kernels

Kernel per popped corn = 120

Number of boxes needed :

Number of unpopped / kernel per popped corn

1600 / 120

= 13.3333

Hence, number of boxes needed = 14

Number of popped kernel. In partially filled box :

1600 - (120 * 13)

1600 - 1560

= 40

Answer:

-9

Step-by-step explanation:

x+3= -6

×= -6-3

x= -9

mark me branliest

Answer:

emojissss  

Step-by-step explanation:

:3 =.= XD :7

Step-by-step explanation:

(5x + 1 ) + 14x + (4x + 5)= 180 [ sum of all angles of a triangle is 180]

Answer:

4(5x-20)=-20 should be x=3

Answer:

x = 3

Step-by-step explanation:

4(5x−20)=−20 | Given

20x - 80 = -20 | Distribute the number on the outside (multiply all numbers on the inside by the number on the outside, 4×5x and 4×-20)

20x = 60 | Add 80 to both sides (do the opposite operation, if its a negative number add it to both sides)

x = 3 | Divide both sides by 20x (20x turns into x and 60 turns into 3 via 60÷20)

Answer:

12:35

Step-by-step explanation:

The boy left school at time 12:15 pm.

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

To find out when the boy left school, we need to add 4 hours and 20 minutes to the time he arrived at school.

To add minutes, we need to make sure both times are in the same format. Let's convert the arrival time of 8:15 am to minutes:

So,

8:15am = 8 x 60 + 15 = 495 minutes

Now we can add 4 hours and 20 minutes:

495 + 4 x 60 + 20 = 735 minutes

So the boy left school at 735 minutes after midnight.

To convert this back to a time, we can divide by 60 to get the number of hours and minutes:

735 minutes / 60

= 12 hours (with 15 minutes remaining)

Therefore,

The boy left school at time 12:15 pm.

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Answer:

Find the cost of supplies charged by the instructor for each student.

Answer: 13.99

Step-by-step explanation:

Using sine rule

((sin 90)/18)= ((sin (180-(90+39)))/x)

((sin 90)/18)=((sin 51)/x)

(1/18)=(0.7771/x)

Cross multiply

x= 0.7771*18

x= 13.99

Answer:

You are correct!

Answer:

42 yd

Step-by-step explanation:

Formula for the area of a rhombus is the length times the width, all divided by 2. A is given as 26, and the total is 546, so the equation is set up like this:

[tex]\frac{26d}{2} =546[/tex]

(Solving for d)

First, multiply both sides by 2 to get:

26d = 1,092

Then, divide both sides by 26 to isolate the variable d:

d = 42

Answer:

V(t)=32,000(0.9767)t^t

Step-by-step explanation:

The correct model which could be used to calculate the daily depreciation for this vehicle is,

⇒ V (n) = 32,000 (0.915)ⁿ

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

Breyelle is planning on purchasing a new sports-utility vehicle.

Here, The list price of the one she is most interested in buying is $32,000.

And, This vehicle is expected to depreciate in value by 8.5% per year.

Hence, the daily depreciation for this vehicle is,

V (n) = 32,000 (1 - 8.5%)ⁿ

V (n) = 32,000 (1 - 0.085)ⁿ

V (n) = 32,000 (0.915)ⁿ

Thus, The correct model which could be used to calculate the daily depreciation for this vehicle is,

⇒ V (n) = 32,000 (0.915)ⁿ

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Answer:

Option 3, 18.0

Step-by-step explanation:

To find the Hypotenuse of a right triangle, use the Pythagoras theorem:

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

(see image below)

(the longest side of any right △ is always C)

In this equation, we know A is 10 and B is 15, so plug in these numbers and solve for C

[tex]10^{2} +15^{2} =c^{2}[/tex]

[tex]100 + 225 =c^{2}[/tex]

[tex]325 = c^{2}[/tex]

Now that the equation is simplified, we find the square root of 325 to solve for C.

[tex]\sqrt{325 = c^{2}}[/tex]

[tex]18.0 = c[/tex]

The final answer is C = 18.0

Hope this helps you understand :)

Step-by-step explanation:

a- 7 + X

b- 2x is the equation for these terms I think so

question

3)

[tex]y = 2x[/tex]

answer

[tex] \frac{y}{2 } = x[/tex]

question

[tex]5 - y = 3x[/tex]

answer

[tex] x= \frac{5 - y}{3} [/tex]

question

4)

[tex]y = 5x + 20[/tex]

answer

[tex]x = \frac{y - 20}{5} [/tex]

question

[tex]y = x + 4 [/tex]

answer

[tex]x = y - 4[/tex]

question

5)

[tex] - 3x - 2y = - 12[/tex]

answer

[tex]x = - \frac{2(y - 6)}{3} [/tex]

question

[tex]y = 5x - 7[/tex]

answer

[tex]x = \frac{y + 7}{5} [/tex]

question

6)

[tex]y = 3x - 22[/tex]

answer

[tex]x = \frac{y + 22}{3} [/tex]

question

[tex]y = 2x - 15[/tex]

answer

[tex]x = \frac{y + 15}{2} [/tex]

all you have to do is plus, subtract and divide

HOPE IT WORKS!

Answer:

[tex] V_{cone} \approx 1,178.97 \: {in}^{3} [/tex]

Step-by-step explanation:

Diameter of cone = 16 in

Radius of cone r = 16/2 = 8 in

Height of cone h = 17.6 in

[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ V_{cone} = \frac{1}{3} \times 3.14 \times {(8)}^{2} \times 17.6 \\ \\ V_{cone} = \frac{1}{3} \times 3,536.896 \\ \\ V_{cone} = 1,178.96533 \\ \\ V_{cone} \approx 1,178.97 \: {in}^{3} \\[/tex]

Answer:

3.14

Step-by-step explanation:

A= 3.14 x r to the power of 2

Answer: (C) 25 lawns

Step-by-step explanation: he has 15 cars so his you follow the line from the graph it will end at 25 lawns

sorry this is a bad explanation but C is correct-

Answer:

19.9875 feet

Step-by-step explanation:

The formula is given as:

Shadow of the student/Height of the student = Shadow of the telephone pole/Height of the telephone pole.

1 inch = 0.0833 feet

Shadow of the student = 5ft

Height of the student = 5 feet 4 inches

4 inches to feet

= 4 × 0.0833 feet

= 0.33 feet

Hence: Height of the student = 5 + 0.33 = 5.33 feet

Shadow of the telephone pole = 18 feet 9 inches long

9 inches to feet

= 9 × 0.0833 feet

= 0.75 feet

Hence: Shadow of the telephone pole = 18 + 0.75 = 18.75 feet

Height of the telephone pole= x

Therefore:

5/5.33 = 18.75/x

Cross Multiply

5x = 5.33 × 18.75

x = 5.33 × 18.75/5

x = 19.9875 feet

The height of the telephone pole = 19.9875 feet

Answer:

10/2 =5

20/2=10

50/2=25

100/2=50

Answer:

1/16

Step-by-step explanation:

-2^-4 = 1/(-2)^4

5^0 = 1

1/(-2)^4 = 1/16

Answer:

Not a function becuase one input value corresponds with multiple output values.

Step-by-step explanation:

Hope it helps

Answer:

the answers D

Step-by-step explanation:

i took the quiz

Answer:

Step-by-step explanation:Given :  right triangle ABC  ,  AE^2 + EB^2 =9 and BE^2 + EC^2 = 16

To find : AC

Solution:

BE ⊥  AC

∠AEB = 90°

=> ΔAEB is right angled

=> AB² = AE² + EB²

=> AB² =  9

∠BEC = 90°

=> ΔBEC is right angled

=> BC² = BE² + EC²

=> BC² =  16

∠ABC = 90°

=> AC² = AB² + BC²

=> AC² = 9 + 16

=> AC² = 25

=> AC = 5

AC = 5

The length of AC is 5 units.

Any three-sided polygon having three edges and three vertices is referred to as a triangle in geometry. The most important attribute of a triangle is that its internal angles sum to 180 degrees. The triangle's angle sum attribute is what is known as.

As per the given data:

We are given the diagram of ΔABC which is right-angled.

BE is perpendicular to AC.

AE² + EB² = 9 ...(i)

BE² + EC² = 16 ..(ii)

By using the Pythagoras theorem in ΔABE:

AE² + EB² = AB²

From comparing with eq (i)

AB² = 9

AB = √9 = 3 units

By using the Pythagoras theorem in ΔCBE:

BE² + EC² = BC²

From comparing with eq (ii)

BC² = 16

BC = √16 = 4 units

By using the Pythagoras theorem in ΔABC:

AB² + BC² = AC²

AC² = 3² + 4²

AC² = 9 + 16 = 25

AC = 5 units.

The length of AC is 5 units.

Hence, The length of AC is 5 units.

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Answer:

i dont know this is ut of my slybos

Step-by-step explanation:

The end points of cd are given.find the coordinates of the midpoint M. C(-8,-6) and D(-4,10)

Answer:-15

Step-by-step explanation:

The value of x in the given expression (3x + 17) (8x - 46)​ is -17/3 or 23/4

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, (3x + 17)(8x - 46)​, we need to find the value of x,

(3x + 17)(8x - 46)​

To find the value of x, equate the expression to 0,

(3x + 17)(8x - 46)​ = 0

3x+17 = 0

x = -17/3

or

8x-46 = 0

8x = 46

x = 23/4

Hence, the value of x is -17/3 or 23/4

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Step-by-step explanation:

Volume of sphere =4/3pir3

=4/3 X pie X rXrXr

R=diameter /2=10/2=5 inches

V=4/3 X 22/7 X 5 X 5 X 5

= 11000/21=523.8in3

Answer:

Step-by-step explanation:

Here is the exact form and decimal form!