Malika models the volume of a popcorn box as a right rectangular prism and the box can hold 35 cubic inches of popcorn when it is full. Its length is 22 in and its width is 2 1/2 in. Find the height of the popcorn box in inches. Round your answer to the nearest tenth if necessary.

Answer:

Sophie is 2 and 8 months old

Jasmyn is 6 and 8 months old

Step-by-step explanation:

j = 4 + s

3j + 6s = 36

Solve for Sophie's age by substitution:

3(4 + s) + 6s = 36

12 + 3s + 6s = 36

12 + 9s = 36

9s = 24

s = 24/9 = 8/3 or 2 and 2/3

Sophie is 2 and 8 months old

Solve for Jasmyn's age:

j = 4 + s

j = 4 + 8/3

j = 12/3 + 8/3

j = 20/3 or 6 and 2/3

Jasmyn is 6 and 8 months old

I hope this helps!

The solution is Option C.

The area of the triangle is 21.5 square units

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the area of the triangle be A

Let the height of the triangle be H

The value of H = 7 units

Let the base of the triangle be B

The value of B = 6 units

Now , the area of the triangle is given by the equation

The area of the triangle = ( 1/2 ) x Length x Base

Substituting the values in the equation , we get

Area of Triangle = ( 1/2 ) x 7 x 6

Area of Triangle = 1/2 x 42

Area of Triangle = 42/2

Area of Triangle A = 21.5 square units

Therefore , the value of A is 21.5 units²

Hence , The area of the triangle is 21.5 square units

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Answer:

Step-by-step explanation:

3

Answer:

3

Step-by-step explanation:

A right angle is 90 degrees. 90/30=3

6 is the answer. hope this helpsssss

The question is an illustration of a linear function, and the value, v, of the coin after a year of owning it is (b) V = 6a + 76

The given parameters are:

A linear function is represented as:

y = mx + c

Where m represents the rate, and c represents the initial value

This means that:

m = 6 and c = 76

So, we have:

y = 6x + 76

In terms of a and V, we have:

V = 6a + 76

Hence,  the value, v, of the coin after a year of owning it is (b) V = 6a + 76

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The answer will be option 4.The arrow is fired with an initial upward velocity of 32 ft / s.

Velocity is defined as when an object travels to a particular distance with respect to time in a particular direction then it is termed as velocity. Velocity is a vector quantity.

By definition, the equation of movement in its generic form is given by:

[tex]h(t)=-\dfrac{1}{2}gt^2+v_ot+h_o[/tex]

Where,

g: acceleration due to gravity

[tex]v_o[/tex]: initial speed

[tex]h_o[/tex]: initial height

The equation for the arrow is given by:

[tex]h=4+32t-16t^2[/tex]

Then, according to the definition, the initial velocity of the arrow is:

[tex]v_o=32 \ \dfrac{m}{s}[/tex]

Hence the answer will be option 4.The arrow is fired with an initial upward velocity of 32 ft / s.

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Answer:

Step-by-step explanation:

d on edge i took the test

Answer:

Step-by-step explanation:

Defining CB

CB is not the hypotenuse of triangle ABC. The hypotenuse is the longest side of any right triangle. CB is the other side other than the hypotenuse that makes up <C. It is the adjacent side because AC and CB make up angle C.

Defining Cos(C)

All of this makes up what you need to know to define the Cos(C)

Cos (C) = adjacent side / hypotenuse.

adjacent side = 6

Hypotenuse = 10

Cos(C) = 6/10

Answer: B

Answer:

i d k

Step-by-step explanation:

we cant see your figure so

Since consecutive terms differ by a constant k in this sequence, we have

[tex]a_8 = a_7 + k[/tex]

[tex]a_8 = (a_6+k)+k = a_6+2k[/tex]

[tex]a_8 = (a_5+k)+2k=a_5+3k[/tex]

and so on down to

[tex]a_8 = a_1 + 7k[/tex]

Solve for k :

14 = 49 + 7k   ⇒   -35 = 7k   ⇒   k = -5

We then do the same as above but in the reverse direction:

[tex]a_9 = a_8+k[/tex]

[tex]a_{10} = a_9+k = a_8+2k[/tex]

[tex]a_{11} = a_{10}+k = a_8+3k[/tex]

and so on, up to

[tex]a_{27} = a_8 + 19k = \boxed{-81}[/tex]

Answer:

C. $10.80

Step-by-step explanation:

Lets solve for first 30% discount

120/ 10 =12 (divided by 10 to get 10% of the whole)

12= 10% of 120

36= 30 % of 120 (multiplied by 3 to get 30%)

120-36= 84

Lets solve for second 30% discount

84/10 =8.4 (divided by 10 to get 10% of the whole)

8.4= 10% of 84

25.2 = 30% of 84 (multiplied by 3 to get 30%)

84-25.2=58.80 (subtracted the discount from the total to get the sale price)

Let's solve for what it would cost had they done 60% to begin with

120/10 = 12 (divided by 10 to get 10% of the whole)

12= 10% of 120

72= 60% of 120 (multiplied by 6 to get 60%)

120-72 = 48 (subtracted the discount from the total to get the sale price)

Let's solve for the difference between the two

58.80-48= 10.80

Answer:

III ONLY

If right please make brainleist for others to learn from this answer thanks!

Step-by-step explanation:

Answer:

y-2

Step-by-step explanation:

x+3/3=y+2/2

cross multiply

2(x+3)=3(y+2)

2x+6=3y+2

2x=3y+2-6

2x=3y-4 (divide both sides by 2)

2x/2=3y-4/2

x=3y-2

therefore substitute x=3y-2 into x/3

3y-2/3

=y-2

A ray of an angle that rotates about the center is called terminal arm of that angle.

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.

The point of their joint is called vertex of that angle.

Those two line segments forming it are called arms of that angle.

One arm is fixed, and one arm rotates around that vertex to make angles of different different measurements.

The fixed arm is called initial arm/initial side.

The moving arm is called terminal arm/terminal side.  

The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.

Thus, a ray of an angle that rotates about the center is called terminal arm of that angle.

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If the sample size gets larger, the size of the correlation that is needed for significance will get smaller.

As the sample size gets larger, it's characteristics will become more and more like the population it is derived from which makes predictions more accurate.

As a result, the correlation size that is needed to decide significance will reduce. This tallies with the characteristic of the correletion coefficient to be lower when the sample size is greater.

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n = 12 + 15 = 27

Probability of choosing girl,

p = 15/27

Probability of choosing boy,

q = 1 - 15/27 = 12/27

[tex]P(X = 1) = \binom{27}{1} { (\frac{15}{27}) }^{1} ( { \frac{12}{27} )}^{26} \\ = 1.045552364 \times {10}^{ - 8} [/tex]

The probability that he will choose a girl will be equal to 15/27.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that there are 12 boys and 15 girls in Mr Fraioli’s math class. He will randomly call on one person to answer the problem of the day.

The probability that he will choose a girl,

n = 12 + 15 = 27

Probability of choosing a girl,

p = 15/27

Probability of choosing boy,

q = 1 - 15/27 = 12/27

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Answer:

X= -1 y= -2

Step-by-step explanation:

y= 3x+1

y-1 =3x

X= y-1/3...(1)

-x+2y= -3

-(x-2y)= -3

x-2y=3

(y-1/3)-2y =3 (from eq (1))

y-1-6y =3×3

-5y= 10

y= -2

X= y-1/3

= -2-1/3

x = -1

A pair of equations best models the relationship between g and w are  g = w + 8, and g = w - 4 option second is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as linear equation in one variable.

We have :

Variable g is 8 more than variable w, mathematically we can write it as:

g = w + 8  ....(1)

Also, variable g is also 4 less than variable w, mathematically we can write it as:

g = w - 4   ....(2)

The equation (1) and equation (2) are representing the system of linear equation in two variables.

So, we have framed two linear equation, that is:

g = w + 8  and

g = w - 4

Thus, a pair of equations best models the relationship between g and w are g = w + 8, and g = w - 4 option second is correct.

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Answer:

b

Step-by-step explanation:

Answer:

not answered this question

Kajal's expected value of playing this game is -$1

The given parameters are:

There are 26 black cards in a standard 52 card decks.

So, we have:

P(Black) = 26/52

There are 6 face cards that are not black in a standard 52 card decks.

So, we have:

P(Face card and not black) = 6/52

There are 20 other cards not in the above categories.

So, we have:

P(Others) = 20/52

The expected value is then calculated as:

[tex]E(x) = \sum x * P(x)[/tex]

This gives

E(x) = 5 * 26/52 + 3 * 6/52 -  10 * 20/52

Evaluate the products

E(x) = 130/52 + 18/52 -  200/52

Evaluate the sum and difference

E(x) = (130 + 18 -  200)/52

This gives

E(x) = -52/52

Evaluate

E(x) = -1

Hence, Kajal's expected value of playing this game is -$1

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Answer: 39

Step-by-step explanation: PEMDAS

Answer:

r=C/2pi

r= 32/2pi. pi=3.1415. 2pi= 2×3.1415 =6.2831

given that C= 32, therefore r=32/6.2831 =5.0930.

17.3

52÷3=17.3

if i am mistaken

Those are vertical angles which are equal to each other:

2x + 2 = 3x - 52

Add 52 to both sides:

2x + 54 = 3x

Subtract 2x from both sides:

54 = x

Rewrite as x = 54

Answer:

(10^x/6)(10^x/8)=10^10

Exact Form: 6/253

In Decimal Form (rounded off): 0.02

Hope it helps! :)

Answer:

The color blue. There’s many shades of blue and plus blue is my favorite color. I’ll be able to tell if I’m drinking water or not.

Answer:

I believe the answer is 112.75 in2

Step-by-step explanation:

Friend is smart

I assume x is a real variable. Note that √(25x²) is a non-negative number for any real x.

Meanwhile, we observe that for -2x √(100x),

• it's only defined for x ≥ 0, and

• if x ≥ 0, then multiplying √(100x) by -2x makes the overall product non-positive, i.e. -2x √(100x) ≤ 0

In short, this eliminates any non-zero real solution, and we're left with x = 0.

We can arrive at the same result by working with the equation:

√(25x²) + 2x √(100x) = 0

5|x| + 20 x√x = 0

since √(x²) = |x| for all x.

Recall that |x| = x if x ≥ 0, and |x| = -x if x < 0.

• If x ≥ 0, the equation reduces to

5x + 20 x√x = 0

5x (1 + 4√x) = 0

5x = 0   or   1 + 4√x = 0

x = 0   or   √x = -1/4

But √x ≥ 0 for x ≥ 0, so we throw out the second solution.

• If x < 0, the equation instead reduces to

-5x + 20 x√x = 0

-5x (1 - 4√x) = 0

-5x = 0   or   1 - 4√x = 0

x = 0   or   √x = 1/4

x = 0   or   x = 1/16

But we assumed x is negative, so we throw out both choices and get no solution for this case.

Answer:

13

Step-by-step explanation:

The formula for cirmference is

C= π2 * r

we're using 3.14 as pi and r = radius.

the radius is always half of the diameter.

So in this case since the diamter is 4, the radius is 2. let's substitute these numbers.

C= 3.14 *2*2 and there your answer is 12.56 which rounded to the nearest tenth is 13.

Hope this helps :)

Answer:

51

Step-by-step explanation:

Always do parentheses first.

So 39-3=36

Then 36+6+3power of 2

36+6=42

42+3 power of 2

3 times 3 = 9

42+9=51

Answer:

51

Step-by-step explanation:

I got it right on the test

Answer:

2/3 would be 10/15 and 3/5 would be 9/15

Step-by-step explanation:

To get the common denominator of 15 you multiply the first fraction by 5 in the numerator and denominator and on the other fraction you multiply by 3 in the numerator and denominator.