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A pack of gum costs $1.49. It has 25 pieces in a pack. How much does it cost to chew each piece of gum?

Answer:

125 boys, 90 girls and 20 adults

Step-by-step explanation:

Let the number of boys be x

Let the number of girls be y

Let the number of adults be z

If there are 235 people at the summer camp, then;

x + y+ z = 235 ..... 1

If there are 35 more boys than girls, then;

x = y + 35 .... 2

If there are 70 fewer adults than girls then;

y = z - 70

z = y - 70....3

Substitute 2 and 3 into 1;

x + y+ z = 235 ..

(y+35)+y+(y-70) =235

3y -35 = 235

3y = 270

3y/3 = 270/3

y = 90

Since x = y + 35

x = 90 + 35

x = 125

Also z = y - 70

z = 90+70

z = 20

There are 125 boys, 90 girls and 20 adults

Answer:

There are 90 girls, 125 boys, and 20 adults.

Step-by-step explanation:

Let x be the number of girls. How many boys were there?

x + 35

How many adults were there?

x - 70

We know that 235 people are at RSM summer camp. Use this to make an equation.

x + (x + 35) + (x - 70) = 235

x + x + 35 + x - 70 = 235

3x - 35 = 235

3x - 35 + 35 = 235 + 35

3x = 270

3x ÷ 3 = 270 ÷ 3

x = 90

x, x + 35, x - 70

90, 125, 20

Answer:

B

Step-by-step explanation:

correct on edge

The answer is, sin (2x)=4√21/25

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here, given that,

sin(x)=2/5

and tan(x)>0

Then, cos(x)=√21/25

tan(x)=2/√21

Now, sin (2x)=2tan(x)/1+tan²(x)

                    =0.873/1.19

                    =0.733

                    =4√21/25

To learn more trigonometry click:

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Answer:

[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]

Step-by-step explanation:

The standard form for a polynomial equation in its factored form is:

[tex]f(x)=a(x-p)(x-q)...[/tex]

Where p and q are the zeros and a is the leading coefficient.

We know that the degree of the polynomial is 5.

We are also given roots at x=3 and x=-2. Hence, our factors are (x-3) and (x+2).

These have a multiplicity of two, so we will square them.

We also know that there is a root at x=4. Hence, the factor is (x-4). This has a multiplicity of 1.

Therefore, our polynomial is now:

[tex]f(x)=a(x-3)^2(x+2)^2(x-4)[/tex]

We know that the y-intercept is 12. Therefore, if we substitute in 0 for x, we should get 12 for y. Here, we are solving for our a. Therefore:

[tex]12=a(0-3)^2(0+2)^2(0-4)[/tex]

Evaluate:

[tex]12=a(9)(4)(-4)[/tex]

Evaluate:

[tex]-144a=12[/tex]

Divide both sides by -144:

[tex]a=-1/12[/tex]

Hence, our entire polynomial is:

[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]

Answer:

i

Step-by-step explanation:

i=√-1

Answer:

The length of segment QA when Q(-7,10) and A(3,4) is √136 or 11.66 units

Step-by-step explanation:

Given points are:

Q(-7,10) and A(3,4)

Here

[tex](x_1,y_1) = (-7,10)\\(x_2,y_2) =(3,4)[/tex]

The distance between two points is the length of the segment formed by those two points. The distance between 2 points is given by:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Putting the values

[tex]d = \sqrt{(3-(-7))^2+(4-10)^2}\\d = \sqrt{(3+7)^2+(-6)^2}\\d = \sqrt{(10)^2+(-6)^2}\\d = \sqrt{100+36}\\d = \sqrt{136}\\d= 11.66\ units[/tex]

Hence,

The length of segment QA when Q(-7,10) and A(3,4) is √136 or 11.66 units

Answer: It is 10

Step-by-step explanation:

Answer:

The answer is "[tex]\left[\begin{array}{c}7&-4&1&0\\\end{array}\right] , \left[\begin{array}{c}-6&2&0&1\\\end{array}\right][/tex]"

Step-by-step explanation:

Given value:

[tex]A= \left[\begin{array}{cccc}1&3&5&0\\0&1&4&-2\\\end{array}\right][/tex]

First you find the general Ax = 0 solution for the free variables.

[tex][A \ \ \ 0]= \left[\begin{array}{cccc}1&3&5&0\\0&1&4&-2\\\end{array}\right]\\\\ R_1\to R_1-3R_2\\\\= \left[\begin{array}{ccccc}1&0&-7&6&0\\0&1&4&-2&0\\\end{array}\right][/tex]

Its general solution is:

[tex]x_1 = 7x_3-6x_4,\ \ x_2=-4x_3+2x_4 \ \ with\ \ x_3, and \ x_4\ free. \ So,[/tex]

[tex]x=\left[\begin{array}{c}x_1&x_2&x_3&x_4\\\end{array}\right] = x_3\left[\begin{array}{c}7&-4&1&0\\\end{array}\right] + x_4\left[\begin{array}{c}-6&2&0&1\\\end{array}\right][/tex]

Null A is:  [tex]{\left[\begin{array}{c}7&-4&1&0\\\end{array}\right] , \left[\begin{array}{c}-6&2&0&1\\\end{array}\right] }[/tex]

Answer:

160

Step-by-step explanation:

120/3 = 40

40 x 4 = 160

May I have brainliest please? :)

Answer:9

Step-by-step explanation: im not really sure I kinda just guess and check, so like, 2/3 times 3 is 6/3 which is 2. so 6/2 is 3. 3 times 3 is nine.

Two needed formulas,:

To find the area of a parallelogram, use

A = bh.

To find the area of a semicircle, use

Area = (πr^2)/2.

The area of the parallelogram is 11 x 32 or 352.

The two semicircle have the same measure.

The radius of the semicircle is (1/2)(16) or 8.

Area = (π8^2)/2

Area = 64π ÷ 2

A = 32π

There are two semicircle.

So, the area of both semicircle combined is

2(32π) or 64π.

Area of figure = 64π + 352.

Area of figure = 553.0619298304

We now round to the nearest tenths to get

Area of the figure = 553.06.

Answer:

10x³ + 12x² - 198x - 40

Step-by-step explanation:

Given parameters:

L(x) = 5x + 1

W(x) = 2x - 8

H(x)  = x + 5

Unknown:

Volume = ?

Solution:

The volume of the body;

      Volume  = L x W x H

Insert the parameters and solve;

      Volume  = (5x + 1)(2x - 8)(x + 5)

     Volume  = (10x² - 40x + 2x - 8)(x + 5)

     Volume = (10x² - 38x - 8 )(x + 5)

     Volume  = 10x³ - 38x² - 8x + 50x² - 190x - 40

     Volume  = 10x³ -38x² + 50x² - 8x - 190x - 40

    Volume  = 10x³ + 12x² - 198x - 40

Answer:

25 miles

pls tell if I'm wrong

Answer:

The weights of ice cream cartons produced by a manufacturer are normally distributed with a mean weight of 10 ounces and a standard deviation of 0.5 oun

Answer:

65.75

Step-by-step explanation:

All you do is divide.

Answer:

65.75

Step-by-step explanation:

Please give me Brainlest!

Answer:

The awnser is D

Step-by-step explanation:

Edge 2020!

The loan option that has a 30 year period with the maximum down

payment the Williams can afford as well as a low rate is recommended.

Response:

The given information are:

The amount at which the Williams are buying the house = $323,000

Percentage of down payment he can afford = 10%

Required:

The loan with the lowest monthly payment.

Solution:

The lowest fixed monthly payment is given by the loans that have the

longest period in which to pay back the loan, which includes the options;

b. 30 year FHA, 3.5% down at a fixed rate of 6.25%

c. 30 year fixed, 20% down at a fixed rate of 5.75%

d. 30 year fixed, 10% down at a fixed rate of 6%

Given that the Williams can afford a 10% down payment, option b. and

option c are the possible options.

The interest rate for option b is higher and option b has a lower down

payment than the interest rate and down payment for option c.

Therefore;

The option that has the overall lowest monthly payment is option d.

Learn more about monthly payment for a loan here:

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Answer: 3.082185x^2

Step-by-step explanation: Find the exact value using trigonometric identities

Answer:

54

Step-by-step explanation:

Answer:

(A) the subtraction property of equality

Step-by-step explanation:

Given

The steps in the question

Require

Justify step 2 to 3

Write out step 2:

[tex]-4x+9 = 2x+10[/tex]

Apply subtraction property by subtracting 2x from both sides

[tex]-4x-2x+9 = 2x-2x+10[/tex]

[tex]-6x+9 = 10[/tex]

Notice that the above equation is represented in step 3.

Hence, option A answers the question.

A. the subtraction property of equality

Answer:

48/10

Step-by-step explanation:

Answer:

5?

Step-by-step explanation:

Answer:

8.4 hours

Step-by-step explanation:

Given that:

Speed of asteroid = 55000 miles/hr

Distance traveled by asteroid = 4.62 [tex]\times[/tex] [tex]10^5[/tex] miles

We are required to find here how many hours the asteroid will take to travel the given distance with the given speed.

Formula for speed can be given as following:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

OR, the formula for time in terms of speed and distance can be given as following:

[tex]Time= \dfrac{Distance}{Speed}[/tex]

Putting the given values in the formula to find the Time:

[tex]Time= \dfrac{4.62\times 10^5}{55000}\\\Rightarrow \bold{Time = 8.4\ hours}[/tex]

Answer:

The expected game value is -1 cent

Step-by-step explanation:

Here, we want to calculate the expected value of the game

We have 4 aces and 4 kings, including 26 red cards

The number of aces is 4

Probability of drawing an ace is 4/52 = 1/13

Probability of drawing a king is also 4/52 = 1/13

There are 26 red cards

The number of red cards that are neither ace nor king

There are 2 red aces and 2 red kings

So the number of cards that are red but are not

aces nor kings are 26-2-2 = 22

The probability of selecting this is 22/52 = 11/26

So the expected value is simply the probability multiplied by the amount

Thus, we have;

(60 * 1/13) + (30 * 1/13) + (5 * 11/26)

= 60/13 + 30/13 + 55/26

= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents

we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent

Answer:

- 5/6

- 1/3

Step-by-step explanation:

Answer:

A and F

Step-by-step explanation:

5/6 and 1/3

Answer:

$25.2

Step-by-step explanation:

Because 20% of $125.99 is 25.198 and if you round that number to the nearest cent you get 25.2.

Have a fantastic day!!!!!!!!!!!!!!

Answer:

we kinda need to see the prism

Answer:

what is the prisim

Step-by-step explanation:

Answer:

g^2 + 4 > -5

Step-by-step explanation:

sum implies addition so add it with 4

i can’t put the equal to thing on here but there is supposed to be a line under the greater than symbol

Answer:

[tex]g\geq +/- 3i[/tex]

Step-by-step explanation:

Using clues given in the problem, we can set up a solvable inequality.

A number g squared: [tex]g^{2}[/tex]

The sum of a number g squared and 4: [tex]g^{2}+4[/tex]

Is greater than or equal to: [tex]g^{2}+4\geq[/tex]

Greater than or equal to -5: [tex]g^{2}+4\geq-5[/tex]

Isolate [tex]g[/tex]:

[tex]g^{2}\geq -9[/tex]

Solve for [tex]g[/tex]:

[tex]\sqrt{g^{2}}\geq \sqrt{-9}[/tex]

This^ looks bad because of the negative, but as I'll show you in the next step it can be split up and you will use the value [tex]i[/tex], or [tex]\sqrt{-1}[/tex].

[tex]g\geq \sqrt{9} \sqrt{-1}[/tex]

[tex]g\geq +/-3i[/tex]

I hope this helps!

Answer:

2 bonus stars

Step-by-step explanation:

0.04 million= 40,000

40000/1701= 23.5

23.5(3)= 70.5

70.5/33= 2 stars