Ashlyn and her friends are making gingerbread houses. They need to divide 28 packages of gumdrops between 7 friends. There are 25 gumdrops in each package. How many gumdrops will each friend get?

Answer:

Step-by-step explanation:

When the exponent is attached to the trig function like that, its essentially the same thing as taking the entire function to that power.

tan^2(x) = (tanx)^2

The volume of the rectangular prism is V = 936 cm³

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

To find the volume of the figure, we need to calculate the volumes of the two rectangular prisms separately and then add them together.

The volume of a rectangular prism is given by the formula:

Volume = length x width x height

For the first prism:

Length = 12 centimeters

Width = 9 centimeters

Height = 2 centimeters

Volume of first prism = 12 cm x 9 cm x 2 cm = 216 centimeters³

For the second prism:

Length = 10 centimeters

Width = 9 centimeters

Height = 8 centimeters

Volume of second prism = 10 cm x 9 cm x 8 cm = 720 centimeters³

Now, we add the volumes of the two prisms together to get the total volume of the figure:

216 cubic centimeters + 720 cubic centimeters = 936 centimeters³

Hence , the rectangular prism has volume of 936 cm³

To learn more about volume of rectangle click :

https://brainly.com/question/25422723

#SPJ3

Answer:

Step-by-step explanation:

The graph of x - y = 1 is plotted below

The given equation is:

x - y = 1

The equation can be rewritten as:

y = x - 1

This is of the form y = mx + 1

where m is the slope

c is the y-intercept

Compare the equation y = mx + 1 with y = x - 1

The slope, m = 1

The y-intercept, c = -1

The graph of the equation y = x - 1 is plotted below

Learn more on graphs of linear equations here: https://brainly.com/question/14323743

A. Cung Pi is correct. I hope this helps!

9514 1404 393

Answer:

  x = -3

Step-by-step explanation:

The solution to the equation ...

  f(x) = g(x)

is the x-value where the functions have equal values. That is the x-coordinate of the point where the graphs intersect. The intersection point is (-3, 5), so the solution to the equation is x = -3.

Answer:

1/6

Step-by-step explanation:

Answer:

No. It is not possible.

Step-by-step explanation:

No, that is not possible.

The problem lies in that [tex]a=b[/tex].

Looking at your fourth line of work, [tex](a+b)(a-b)=b(a-b)[/tex]

You divided by [tex](a-b)[/tex].

And because [tex]a=b[/tex], [tex]a-b=0[/tex]

This means that when you divided by [tex](a-b)[/tex] you divided by zero, which cannot happen.

Answer:

Combine the constant terms by adding 7 and –2.  

Combine the like variable terms by adding the coefficients.

5 k and negative 3 k are like variable terms.

The constants 7 and –2 are like terms.

The equivalent expression is 5 + 2 k + n.  

Step-by-step explanation:

Given

[tex]7 + 5k - 2 - 3k + n[/tex]

Required

Select right steps

True: The constants 7 and –2 are like terms.

True: Combine the constant terms by adding 7 and –2.

[tex]7 + 5k - 2 - 3k + n[/tex]

[tex]- 2+7 + 5k - 3k + n[/tex]

[tex]5 + 5k - 3k + n[/tex]

True: Combine the like variable terms by adding the coefficients.

[tex]5 + 5k - 3k + n[/tex]

[tex]5 + 2k + n[/tex]

True: The equivalent expression is 5 + 2 k + n.

Answer:

Answer is 0.65

Step-by-step explanation:

Answer: 13/20

Step-by-step explanation:

Answer:

He Had It Bronzed

Step-by-step explanation:

Hope this help pls mark as brainlest!!

Answer:

B. x = 8√3 ≈ 13.86; y = 8

Step-by-step explanation:

✔️Find x using trigonometric ratio:

Reference angle = 60°

opposite = x

Hypotenuse = 16

Thus:

Sin(60) = x/16

16*sin(60) = x

16*√3/2 = x

8√2 = x

x = 8√3 ≈ 13.86

✔️Find y using Pythagorean Theorem:

y² = 16² - (8√3)²

y² = 256 - 192 = 64

y = √64

y = 8

Answer:

x = 2

Step-by-step explanation:

4x - 2 = 22 - 8x

Move all variables to a single side by adding 8x to both sides of the equation.

4x + 8x - 2 = 22 - 8x + 8x

12x - 2 = 22

Add 2 to both sides to move the constants to one side.

12x - 2 + 2 = 22 + 2

12x = 24

Divide both sides by 12 to isolate the x.

12x / 12 = 24 / 12

x = 2

Answer:

x = 2

Step-by-step explanation:

Add 2 to both sides.

4x - 2 +2 = 22 - 8x + 2

Simplify.

4x=-8+24

Add 8x to both sides.

4x+8x= -8x + 24 + 8x

Simplify.

12x = 24

Divide both sides by 12.

12x/12 = 24/12

Simplfy.

x = 2

hope this helps! :)

-5 to 0 is 5 degrees

0 to 27 is 27 degrees

Total change = 5 + 27 = 32 degrees.

Answer:

Step-by-step explanation:

The solution is the coordinates of the point where the lines intersect: (3,5)

Answer:

Since an equilateral triangle has all three side equal then one of its side is 38mm

The length of one of the sides of the triangle is 38 mm.

The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.

Given that all of the sides of an equilateral triangle are equal in length, we may calculate the length of a side by dividing the perimeter by the triangle's total number of sides, which is 3.

As a result, the equilateral triangle's one side has the following length:

114 mm / 3 = 38 mm

Therefore, the equilateral triangle's sides are each 38 mm long.

Learn more about perimeter here:

https://brainly.com/question/6465134

#SPJ2

Answer:

one leg = 5

other leg = 14

Step-by-step explanation:

let 'x' = length of shorter leg

let '2x + 4' = length of longer leg

A = 1/2bh

35 = 1/2x · 2x + 4

35 = x² + 4

x² + 4 - 35 = 0

(x + 7)(x - 5) = 0

x = -7 and x = 5

We can eliminate -7 as an answer since a length cannot be negative

Answer:

The shorter leg = 5

The longer leg = 14

The hypotenuse = 14.866.....

Step-by-step explanation:

if we represent the smaller leg as "x" we firstly represent the longer leg as...

Longer leg = 2x + 4

(We can do this based on the question)

Now we need to undersstadn t in a right angle triangle the legs can be used as a height and base. So we can make the following equation.

[tex]A_{triangle} = \frac{bh}{2}[/tex]

Substitute the lengths of the legs as based and height and get...

[tex]A_{triangle} = \frac{(2x + 4)(x)}{2}[/tex]

[tex]35 = \frac{2x^{2} + 4x}{2}[/tex]

[tex]35 = x^{2} + 2x[/tex]

[tex]35 = x(x + 2)[/tex]

From here we can see that x = 5.

Therefore the lengths are as follows...

The shorter leg = x = 5

The longer leg = 2(5) + 4 = 14

The hypotenuse = [tex]\sqrt{5^{2} + 14^{2} }[/tex]

The hypotenuse = [tex]\sqrt{5^{2} +14^{2} }[/tex]

The hypotenuse = 14.866.....

Answer:

x = 8  y = 2

(8,2)

Step-by-step explanation:

You have to find the value of both x and y

x + 4y = 8

to find x you have to cancel out y so,

x + 4(0) = 8

x = 8

to find y you have to cancel out x

0 + 4y = 8

4y = 8

divide both sides by 4

y = 2

Hope this Helps!!!

By changing the equation to slope intercept form we draw the graph and graph is given in attachment.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Let us convert the equation of line  x+4y=8​ to slope intercept form.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

x+4y=8

4y=8-x

Divide both sides by 4

y=-x+2

Now let us find few point to draw the graph.

If x=0

y=2

If x=1

y=1

If x=2

then y=0

if x=3

then y=-1

Now plot (0, 2), (1, 1) and (3, -1) and draw the graph

Hence, by plotting the points (0, 2), (1, 1) and (3, -1) we draw the graph and the graph is in attachment.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

Answer:

3 to the 4th power.

Step-by-step explanation:

Basically, here 3 to the 3rd power is 27. Multiplying it by 3 is only adding another power, making it 81, which is the same answer to 3 to the 4th power if that makes sense.

Answer:

A) [tex]32\pi[/tex]

Step-by-step explanation:

First, solve the volume of the cylinder. It's about [tex]87.96[/tex]

Next, find the volume of the cone. It's about [tex]12.57[/tex]

Thus, the total volume is  [tex]87.96[/tex] [tex]+[/tex] [tex]12.57[/tex], which is about [tex]100.53[/tex]

[tex]100.53[/tex] in terms of [tex]\pi[/tex] is A) [tex]32\pi[/tex]

Hope I helped!

Answer:

she can walk 2 miles mph

Step-by-step explanation:

because 80 ÷8=10

16÷8=2

Answer:

2 miles p/h.

Step-by-step explanation:

16 miles walk = 80miles bike  = 16/80 = 0.2 / 1

0.2 / 1 =  1 / 5  =  2 / 10 as we see 8 difference as we continue the pattern.

2 miles per hour is our answer

Answer:

[tex]+18000[/tex]

Step-by-step explanation:

Given

Increment = 18000

Required

Represent as a signed number

If the initial population is x.

The new population (y) will be:

[tex]y = x + 18000[/tex]

It is "+" because the population of the city increases.

Hence, the signed number is  [tex]+18000[/tex]

Answer:

x=1

Step-by-step explanation:

Since both lines have 1 as it x value, x=1 is the line

Answer:

it is 4/5 because you have to divide by 6

Answer:

5 = B, 13

and 6 = D, 18.4

Step-by-step explanation:

Hope it helps...

Answer:

[tex]3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%[/tex] probability that all the 15 students selected are girls

Step-by-step explanation:

The selection is from a sample without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

All girls from the first group:

20 students, so [tex]N = 20[/tex]

10 girls, so [tex]k = 10[/tex]

5 students will be selected, so [tex]n = 5[/tex]

We want all of them to be girls, so we find P(X = 5).

[tex]P_1 = P(X = 5) = h(5,20,5,10) = \frac{C_{10,5}*C_{10,5}}{C_{20,5}} = 0.0163[/tex]

All girls from the second group:

20 students, so [tex]N = 20[/tex]

5 girls, so [tex]k = 5[/tex]

5 students will be selected, so [tex]n = 5[/tex]

We want all of them to be girls, so we find P(X = 5).

[tex]P_2 = P(X = 5) = h(5,20,5,5) = \frac{C_{5,5}*C_{15,5}}{C_{20,5}} = 0.00006[/tex]

All girls from the third group:

20 students, so [tex]N = 20[/tex]

8 girls, so [tex]k = 8[/tex]

5 students will be selected, so [tex]n = 5[/tex]

We want all of them to be girls, so we find P(X = 5).

[tex]P_3 = P(X = 5) = h(5,20,5,8) = \frac{C_{8,5}*C_{12,5}}{C_{20,5}} = 0.0036[/tex]

All 15 students are girls:

Groups are independent, so we multiply the probabilities:

[tex]P = P_1*P_2*P_3 = 0.0163*0.00006*0.0036 = 3.52 \times 10^{-9}[/tex]

[tex]3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%[/tex] probability that all the 15 students selected are girls

Answer:

You are right I am pretty sure

Answer:

x = 13.5

Step-by-step explanation:

x = 11 · (sin 34°) / sin 27°

Answer:

120

Step-by-step explanation:

180-27-34=119

119 round up to nearest 10 = 120

You look up at 1 but you are not soposed to answer the question by looking at 1, if you have nearest 10 to round then always look at the units.

Always look at the second digit of the nearest number that you would round up.

Example:

round 560 to the nearest 100.

The answer would be 600 because 0-4 goes down and 5-9 goes up,

and in  this number 5 goes up so the answer would be rounded up.

If the question said round 560 to the nearest 10 then the answer would be the same because the second digit is 0 and 0 goes down so it does not make any difference. If the second digit goes down then you do not need to change your answer the answer would be the same as the question number.

Answer:

Sure na bayan napo bayan

Answer:

$9 and $12

Step-by-step explanation:

Let "s" be small boxes and "L" be large boxes.

12*s + 6*L = $180

3*s + 2*L = $51

From the first equation:

L = ($180 - 12*s) / 6 = $30 - 2*s

Plug that into 2nd equation:

3*s + 2*($30 - 2*s) = 3*s + $60 - 4*s = $51

s = $9

L = $30 - 2*s = $30 - $18

L = $12