A flashlight is projecting onto a wall, as shown below

division property would help you solve this inequality

Answer:

The total value is £268.20.

Step-by-step explanation:

Given : There are 495 coins in a bottle.

1/3 of the coins are £1 coins.

124 of the coins are 50p coins.

The rest of the coins are 20p.

To find : Work out the total value of the 495 coins?

Solution :

According to question,

Total coins = 495

[tex]\frac{1}{3}[/tex] of the coins are £1 coins.

i.e.  The number £1 coins are

[tex]\frac{1}{3}\times 495 =165[/tex]

So, We have £165

124 of the coins are 50p coins.

50p=£0.50

Number of coins were

[tex]124\times0.50 =62[/tex]

So, We have £62 .

Remaining coins were,

[tex]495-(124+165)=206[/tex]

i.e. remaining coins are 206 are of 20p.

20p=£0.20

Number of coins were

[tex]206\times0.20 =41.20[/tex]

So, We have £41.20 .

Now, Adding all of them together,

i.e. £165+£62+£41.20=£268.20

So, The total value is £268.20.

Answer:

Part a) In the procedure

Part b) Line A and Line B are different parallel lines

Step-by-step explanation:

Part a) we have

[tex]3x-6y=-12[/tex] ----> equation A

[tex]x-2y=-8[/tex] ----> equation B

Isolate the variable x in the equation B

[tex]x=2y-8[/tex]

Substitute the value of x in the equation A

[tex]3(2y-8)-6y=-12[/tex]

[tex]6y-24-6y=-12[/tex]

[tex]-24=-12[/tex] ------> is not true

therefore

The system of equations has no solutions

Part b) What do you know about the two lines in this system of equations?

[tex]3x-6y=-12[/tex] ------> equation A

isolate the variable y

[tex]6y=3x+12[/tex]

[tex]y=(1/2)x+2[/tex]

[tex]x-2y=-8[/tex] -------> equation B

isolate the variable y

[tex]2y=x+8[/tex]

[tex]y=(1/2)x+4[/tex]

Line A and Line B are parallel lines, because their slopes are the same

Line A and Line B are different lines because their y-intercept is not the same

Answer:

v = -1

Step-by-step explanation:

Solve for v:

7 v = 8 v + 1

Subtract 8 v from both sides:

7 v - 8 v = (8 v - 8 v) + 1

7 v - 8 v = -v:

-v = (8 v - 8 v) + 1

8 v - 8 v = 0:

-v = 1

Divide both sides by -1:

Answer:  v = -1

Answer:

[tex]\large\boxed{y=a(x+8)(x+1)(x-3)}[/tex]

Step-by-step explanation:

[tex]\text{Factored form:}\\\\y=a(x-x_1)(x-x_2)(x-x_3)\\\\x_1,\ x_2,\ x_3-zeros\\\\\text{We have}\ x_1=-8,\ x_2=-1\ \text{and}\ x_3=3.\ \text{Substitute:}\\\\y=a(x-(-8))(x-(-1))(x-3)\\\\y=a(x+8)(x+1)(x-3)\\\\\text{Where}\ a\neq0\ (\text{any real number except 0})[/tex]

Answer:

Step-by-step explanation:

A diameter is two times longer than a radius. Therefore, if the diameter

d = 15cm, then the radius r = (15cm) : 2 = 7.5cm.

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

Substitute:

[tex]A=\pi(7.5)^2=56.25\pi\ cm^2[/tex]

[tex]\pi\approx3.14[/tex]

Then

[tex]A\approx(56.25)(3.14)\approx177\ cm^2[/tex]

Answer:

[tex]\large\boxed{\dfrac{1}{3p+15}=\dfrac{1}{3(p+5)}}[/tex]

Step-by-step explanation:

"one over threep + 15":

[tex]\dfrac{1}{3p+15}=\dfrac{1}{(3)(p)+(3)(5)}=\dfrac{1}{(3)(p+5)}=\dfrac{1}{3(p+5)}[/tex]

no, the angles in triangles have to add up to 180 deg. but this adds up to 190

The correct answer is 9>n since it doesn't say greater than or equal to, we can cross out the 2 and that leaves us with 9<n and 9>n but it actually says 9 is more than a number so that leaves us with 9>n

Answer:  [tex]\bold{\bigg(\dfrac{1}{2},2\dfrac{1}{2}\bigg)}\qquad \implies \qquad \bold{\bigg(\dfrac{1}{2},\dfrac{5}{2}\bigg)}[/tex]

Step-by-step explanation:

y = x + 2       x + y = 3

Solve using Substitution Method by replacing y with x + 2:

                    x + (x + 2) = 3

                         2x + 2 = 3

                         2x       = 1

                           x        = [tex]\dfrac{1}{2}[/tex]

Next, replace x with 1/2 in one of the original equations and solve for y:

y = x + 2

  = [tex]\dfrac{1}{2}[/tex] + 2

  = [tex]2\dfrac{1}{2}[/tex]

Answer:

x = 1/2

y = 5/2

Step-by-step explanation:

So we're gonna use the elimination method, by eliminating one of x or y to find the value of the other one.

y = x + 2 --------------(1)

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

In (1), x is in LHS and y is in RHS. To make things simpler, we take both x and y to the same side.

y           = x + 2

y - x      = x + 2 - x ( take x to the other side)

y - x      = 2-------------------------(3)

Note that in (2), x is positive and in (3), x is negative. So by adding these two, we can single out y because +x and -x cancels out. So we can eliminate x.

(3) +  (1) : (x+y) + (y- x) = 3 + 2

              2y                 = 5

              y                   = 5/2

Substituting y = 5/2 for (1),

5/2 - x  = 2

5/2       = 2 + x

5/2 - 4/2 = x

x   = 1/2

∴ x = 1/2

  y = 5/2

Hope i helped you :)

Answer:A,C

Step-by-step explanation:

Answer:

A, C

Step-by-step explanation:

The domain is the set of all possible x-values that will make the function work.

Here, m  is the x-value (the independent variable).

The month number m is an integer, so the appropriate number type for the domain of r is integer.

The month numbers run from 1 to 12, inclusive, so the appropriate domain is 1 ≤ m ≤ 12.

Answer:

-25

Step-by-step explanation:

You use the PEMDAS order of operations to find this out

So first you do exponents

-1^3 is positive

so you then rewrite the equation as 3*4(-2)-1

Then you multiply and divide

12(-2)

That equals -24

Then you add the remaining

-24+-1= -25

Answer:

C: feature

that is the correct answer

Answer:

(x/4)   -4

Step-by-step explanation:

quotient means divide

quotient of a number x and 4.​

x/4

four less than

x/4   -4

Answer:

This can be written as x/4 - 4

Step-by-step explanation:

To find this, note that quotient denotes a division problem. Then we subtract 4, since it starts with four less than,

Answer:

B

Step-by-step explanation:

Adams headed the Commission that negotiated the Treaty of Ghent in 1814, which ended the War of 1812 with Great Britain.

Answer:

Which of what following? There's no options.

Step-by-step explanation:

The constant term is "240." The number represents the daily revenue when the price of a taco is 0 dollars.

Answer:

The constant term is 240. It represents the initial daily revenue.

Step-by-step explanation:

It is given that Tico's Taco Truck is trying to determine the best price at which to sell tacos, the only item on the menu,  to maximize profits.

The owner can calculate the daily revenue using the polynomial  expression

[tex]-7x^2+32x+240[/tex]

where x is the number of $1 increases in the taco price.

Constant term does not contain any variable.

In the given expression 240 is free from variable x. So, the constant term is 240.

The value of expression is 240 for x=0. Since x is the number of $1 increases in the taco price, therefore 240 is the daily revenue when the taco price is not increased or the taco price increased by 0.

Therefore the constant term is 240 and it represents the initial daily revenue.

Answer:

18

Step-by-step explanation:

⅓g + 6 = 12

⅓g       =  6     Subtracted 6 from each side

   g      = 18     Multiplied each side by 3

18 games remain in the season.

Check:

⅓ × 18 + 6 = 12

   6     + 6 = 12

           12 = 12

C. Surface area and volume use the same unit of measurement

Answer:

The answer is C.

Step-by-step explanation:

No idea for the Step-by-Step explanation

Answer:

The answer is C for sure

Step-by-step explanation:

I would say the answer is C.  What are the checking account balances of the shoppers in a grocery store?

Hope this helps!

Answer:

Step-by-step explanation:

1/4x20=5 so Maria ate 5 slices of pizza.

Answer:

Rational number

Step-by-step explanation:

A rational number is one which can be expressed in the form

[tex]\frac{a}{b}[/tex] where a and b are integers

- 3 can be expressed as [tex]\frac{-3}{1}[/tex] -3 and 1 are integers

Hence - 3 is a rational number

Answer:

C. 8x+80.

Step-by-step explanation:

To make this a simple expression, we need to distribute the 8 into x+10. We do this by multiplication. 8*x=8x. 8*10=80. Our new equation is 8x+80.

Answer:

Step-by-step explanation:

The formula of a distance between two points:

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

From the graph we have the points A(6, 2) and B(0, 10). Substitute:

[tex]AB=\sqrt{(0-6)^2+(10-2)^2}=\sqrt{(-6)^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex]

The length is D. 10

√ (x2 - x1)^2 + (y2 - y1)^2

√ (0-6)^2 + (10 - 2)^2

√ (-6)^2 + (8)^2

√ 36 + 64

√ 100 = 10

Answer: Last option.

Step-by-step explanation:

To find the inverse of the function f(x), you must follow the proccedure shown below:

- Rewrite the function,as following:

[tex]y=4x+12[/tex]

- Solve for x. Then:

[tex]y-12=4x\\x=\frac{1}{4}y-\frac{12}{4}\\\\x=\frac{1}{4}y-3[/tex]

- Now, substitute y with x.

Therefore, you obtain that the inverse function g(x) is the following:

[tex]g(x)=\frac{1}{4}x-3[/tex]

Then, the answer is the last option.

Answer:

Last choice is the answer.

Step-by-step explanation:

We have given a function.

f(x) = 4x+12

We have to find the inverse of given function.

Let y  = f(x)

y = 4x+12

Solving for x, we have

x = 1/4y-3

Since, x =  f⁻¹(y)

 f⁻¹(y) =  1/4y-3

Replacing y with x , we have

f⁻¹(x) = 1/4x-3

Given that g(x) = f⁻¹(x)

g(x) = 1/4x-3 which is the answer.

Answer:

Final answer is 1/3.

Step-by-step explanation:

Question says that Mrs Jenkins picked some tomatoes from her garden. She used 5/9 of the tomatoes to make pasta sauce. After that  she used 3/4 of the remainder to make a salad. Now we need to find about what fraction of the tomatoes did Mrs Jenkins use to make the salad.

As she used 5/9 of the tomatoes to make pasta sauce.

Now remaining amount of tomatoes = 1- 5/9 = 9/9 -5/9 = 4/9

Then she used 3/4 of the remainder to make a salad. So fraction of the tomatoes did Mrs Jenkins use to make the salad = (4/9)(3/4)=12/36=1/3

Hence final answer is 1/3.

Answer:

70%

Step-by-step explanation:

1. divide the number of games won (33) by the total number of games (47)

    33/47 = 0.702

2. Move the decimal two places to the right = 70.2%

3. round down to 70%

Final answer:

The soccer team won 70% of its games after calculating the fraction of games won, converting it to a decimal, then to a percent, and finally rounding to the nearest whole number.

Explanation:

To calculate the percent of games won by the soccer team, we divide the number of games won by the total number of games played and then multiply by 100 to convert the fraction to a percentage.

Step 1: Find the fraction of games won: 33 (games won) ÷ 47 (total games).

Step 2: Convert the fraction to a decimal: 33 ÷ 47 = 0.7021.

Step 3: Convert the decimal to a percent: 0.7021 × 100 = 70.21%.

Step 4: Round to the nearest whole number: 70.21% rounded to the nearest whole number is 70%.

Therefore, the soccer team won 70% of its games.

Answer:

Choices A and C

Step-by-step explanation:

Answer:

A, C

Step-by-step explanation:

We can see in the graph that it is done by ticks of 1/10s

Therefore we can determine that point A is on 1.6.

Since 1.6 > 1.27, this is true.

1 one and 7 hundreths is 1.07

And since 1.07 < 1.27, this is not true.

Finally 27 tenths is the equivalent of 2.7

2.7 > 1.27 so this is true.

Answer:

r = 2 [stream's speed is 2 mph downstream

Step-by-step explanation:

Remark

The distances traveled [upstream and downstream] are the same.

If it takes longer to go upstream, it means the speed of the current is going against him. So the rate is 38 - r where r is the speed of the current.

The rate of the downstream is 38 + r because it takes him less time to go downstream and the current is helping him go.

The times are given

Givens

Formula

d1 = d2

d1 = (38 - r) * 30

d2 = (38 + r) *27

(38 - r) * 30 = (38+r)*27

Solution

Remove the brackets on both sides.

38*30 - 30*r = 38*27 + 27r                    Add 30r to both sides

38*30 - 30r + 30r =38*27 + 27r + 30r  Combine the numbers

1140 = 1026 + 57r                                   Subtract 1026 from both sides.

114 = 57r                                                  Divide by 57

114/57 = 57r/57

r = 2

Answer: The correct answer is choice D.

Step-by-step explanation: In order to answer this question you need to calculate the volume of each of the cubes.

Cube A has a side which is 3 meters, so the volume = 3 x 3 x 3 = 27

Cub B has a side which is 6 meters, so the volume = 6 x 6 x 6 = 216

216/27 = 8. Therefore, the volume of cube B is 8 times the volume of cube a.

The volume of cube A is 27 cubic meters and the volume of cube B is 216 cubic meters. Cube B's volume is 8 times greater than cube A's. The correct answer is option D)

The volume of a cube is calculated by cubing the length of its side. So, the volume of cube A is 3 meters x 3 meters x 3 meters = 27 cubic meters. The volume of cube B is 6 meters x 6 meters x 6 meters = 216 cubic meters. Comparing the volumes, cube B's volume is 216/27 = 8 times greater than the volume of cube A. Therefore, the statement that accurately represents the relationship between the two volumes is option D) The volume of cube B is 8 times the volume of cube A.

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