A family has bags of popcorn in their cabinet. Each bag of popcorn has kernels in it. How many kernels of popcorn are in the​ cabinet?

Answer:

Measure of third angle = 80°

Step-by-step explanation:

Property of an isosceles triangle,

Opposite angles of the equal sides of an isosceles triangle are equal in measure.

Since, base angles of an isosceles triangle are equal,

(3x + 2) = (5x - 30)

5x - 3x = 2 + 30

2x = 32

x = 16

Now measure of the base angles will be = (3×16) + 2 = 50°

Let the measure of third angle = y°

Since, sum of interior angles of a triangle = 180°

50° + 50° + y° = 180°

y + 100 = 180

y = 80°

Therefore, measure of third angle is 80°.

Answer: A.

Step-by-step explanation:

The correct algebraic statement is [tex]a^{2} +b^{2} =c^{2}[/tex].

It states that "the sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)" i.e.

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

According to the given question

By Pythagoras theorem we can say that the algebraic statement A i.e.[tex]a^{2} +b^{2} =c^{2}[/tex] is the correct one for the description of given figure.

Hence, option A  i.e. [tex]a^{2} +b^{2} =c^{2}[/tex]  is the correct option.

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Answer:

Step-by-step explanation:

Probability = expected outcome/total outcome

If a bag contains 3 red balls, 8 blue balls and 11 white balls, then the total outcome will be;

Total outcome = 3 + 8 + 11 = 22 balls

Since we are drawing two balls with replacement;

Probability of drawing red ball = number of red/total outcome = 3/22

Probability of drawing white ball = number of while/total outcome = 11/22 = 1/2

Probability of drawing red first and then white = 3/22 * 1/2

Probability of drawing red first and then white  = 3/44

To the nearest tenth, 3/44= 0.1

In percent = 6.8%

Answer:

3 años 4 meses

 4   primer año

 4    segundo año

4    tercer año pero nos falta 4 meses  4/12 = .33333  esto x 4 los meses =    1.3333

____

13.3333

7200 * .133333= 959.9976  por aproximacion son 960

7200+960 = 8160 Es el monto producido

Opcion C

Answer:

6(3x+5y)

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

Answer:

3x+5

Step-by-step explanation:

There are two terms. 4n is one term, [tex]5y^{2}[/tex] is one term, a+b+2 is three terms.

Hope this helps!

The expression has exactly two terms is 3x+ 5.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

1. 4n have only one term.

2. 5y² also have one term.

3. 3x + 5 have two terms.

4. a+ b + 2 have three terms.

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ANSWER

[tex] 18\pi\: cm^3/s[/tex]

STEP-BY-STEP EXPLANATION:

[tex] V= \frac {4}{3}\pi r^3\\\\

[/tex]

Differentiating with respect to t on both sides:

[tex] \frac{dV}{dt} = \frac {4}{3}\pi\times 3r^2\frac{dr}{dt} \\\\

\frac{dV}{dt} =4\pi r^2\frac{dr}{dt} .. (1)\\\\

Plug \:\frac{dr}{dt} = \frac{1}{2}\:\: \& \: \: r = 3\: in \: equation \: (1)\\\\

\frac{dV}{dt} =4\pi (3)^2\times \frac{1}{2}\\\\

\frac{dV}{dt} =4\pi\times 9\times \frac{1}{2}\\\\

\huge \purple {\boxed{\frac{dV}{dt} =18\pi\: cm^3/s}} \\[/tex]

Answer:

Can be found below

Step-by-step explanation:

Part A:

So we know that the bacteria doubles every (30) minutes.

2000 times 2 equals 4000 (30 minutes)

4000 times 2 equals 8000 (1 hour)

Answer for Part A:

8000 bacteria

Part B:

Now we do this function 2000(2)^14 (30 minutes long)

Answer to Part B:

I believe the answer is 32,768,000 (Please correct me if I'm wrong)

Hope I could help!! Have a great day/night!

Any constructional messages are greatly appreciated!!

Answer:

A

Step-by-step explanation:

Answer:

A. $ 1.70

Step-by-step explanation:

Answer:

v= -59

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : (v+5)*(-1/9)-(6)=0

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (v+5)*(-1/9)-(6)=0

Step by step solution :

STEP

1

:

           1

Simplify   —

           9

Equation at the end of step

1

:

                  1      

 ((v + 5) • (0 -  —)) -  6  = 0

                  9      

STEP

2

:

Equation at the end of step 2

 (-v - 5)    

 ———————— -  6  = 0

    9        

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  9  as the denominator :

        6     6 • 9

   6 =  —  =  —————

        1       9  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  -v - 5  =   -1 • (v + 5)

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(-v-5) - (6 • 9)     -v - 59

————————————————  =  ———————

       9                9  

STEP

5

:

Pulling out like terms :

5.1     Pull out like factors :

  -v - 59  =   -1 • (v + 59)

Equation at the end of step

5

:

 -v - 59

 ———————  = 0

    9  

STEP

6

:

When a fraction equals zero :

6.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 -v-59

 ————— • 9 = 0 • 9

   9  

Now, on the left hand side, the  9  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -v-59  = 0

Solving a Single Variable Equation:

6.2      Solve  :    -v-59 = 0

Add  59  to both sides of the equation :

                     -v = 59

Multiply both sides of the equation by (-1) :  v = -59

Answer:

12*5=x

Step-by-step explanation:

The value of the unknown fourth interior angle of the polygon is 114 degrees.

Hence option B)114° is the correct answer.

A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.

The formula for calculating the sum of interior angles of a polygon is;

S =  ( n − 2 ) × 180°

Where n is the number of sides.

Given that the polygon is the diagram has 4 sides, n = 4

Hence

the sum of interior angles of the polygon is;

S =  ( n − 2 ) × 180°

S =  ( 4 − 2 ) × 180°

S = 2 × 180°

S = 360°

Now, we add the total interior angles in the given polygon and equate to the sum of interior angles of a polygon with 4 sides.

82° + 51° + 113° + x = 360°

246° + x° = 360°

x = 360° - 246°

x = 114°

The value of the unknown fourth interior angle of the polygon is 114 degrees.

Hence option B)114° is the correct answer.

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Answer:

he has 720 seconds left

Answer:

i believe its 3/4

Step-by-step explanation:

i took the test on edge 2021

Answer:

[tex]930[/tex]

Step-by-step explanation:

STEP 1: Remove parentheses.

STEP 2: Simplify each term.

STEP 3: Simplify by adding numbers.

Answer:

35/100

Step-by-step explanation: Hope this helps! :)

Answer:

[tex]\frac{35}{100}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

70 apples were on the shelf

Step-by-step explanation:

I'm pretty sure this is the answer because

50%= 1/2

So half of the amount of apples on the shelf would be 35

So just add 35+35=70

Pretty sure that is the answer sorry if its not!

Answer:

6 X 7,381 is 44,286

Step-by-step explanation:

Answer:x:

y=-5/4

Step-by-step explanation:

Vertex (1,-1)

focus(1,-3/4)

Axis of symmetry(X=1)

Answer:

243

Step-by-step explanation:

Area=Base x Height.

18 x 13.5=243 :)

Answer:

The percent of increase from 6 to 9 is 50%

Step-by-step explanation:

Percentages

To calculate the percentage increase:

Work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number.

Divide the increase by the original number and multiply the answer by 100.

We are required to find the percent increase from 6 to 9. Here: New number=9, Original number = 6

Increase = 9 - 6 = 3

Divide 3 by 6 and multiply the answer by 100:

3 / 6 * 100 = 50%

The percent of increase from 6 to 9 is 50%

The percent of increase from the number 6 to 9 is 50 percent.

The given numbers are 6 and 9.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

The difference of the given numbers

= 9-6

= 3

The percent of increase = 3/6 ×100

= 0.5×100

= 50%

Therefore, the percent of increase from the number 6 to 9 is 50 percent.

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Answer: x=2

Step-by-step explanation:

if u plug in the value of x=2 into the equation both sides equal -22/5

Answer:

Juli

Step-by-step explanation:

an hour has 60 periods of one minute so its 60 x $97 = $5820

an hour has 60/7 periods of 7 minutes so 60/7 x $200 = $1714.29

Answer:

b= 26

Step-by-step explanation:

First, find the slope using the slope formula,

[tex]m=\frac{5-\left(-2\right)}{-3-\left(-4\right)}[/tex]       solve and simplify, m=7

plug in one pair of coordinates for the y and x for the slope intercept form,

(I'll just use (-3,5))

y=mx+b

5=7(-3)+b

5=-21+b

5+21=21-21+b

b=26                       After solving the problem, b=26

Feel free to ask for further assistance or comments

Answer: it’s (4), I took the test too so I know it’s most likely right.

Answer:

8a

Step-by-step explanation:

Answer:

11600

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

32+8=40

Answer:

y = 30x + 20

Step-by-step explanation:

y = mx + b

find b

b=20

find m

m=30