The drama club is running a lemonade stand to raise money for its new production. A local grocery store
donated cans of lemonade and bottles of water. Cans of lemonade sell for $2.50 each and bottles of water
sell for $1.25 each. The club needs to raise at least $600 to cover the cost of renting costumes. The students
can accept a maximum of 460 cans and bottles.
Write a system of inequalities that can be used to represent this situation.
The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover
the cost of renting costumes? Justify your answer.

Answer:

lot of words for a simple question about which rectangle is the same!

E and F are similar but not congruent.

Step-by-step explanation:

Answer:

(-4,8)

Step-by-step explanation:

    x + 4y = 28

+  -x + y = 12

5y = 40

y = 8

-x + (8) = 12

-x + 8 = 12

-x = 4

x = -4

Mean=all added together divide by total amount

median order them all and the middle number

mode the most common number

hope this helps you find out the answer

[tex]y \: \alpha \: x[/tex]

Let c be the constant

[tex]y = cx \\ 16 = c4 \\ c = \frac{16}{4} \\ c = 4[/tex]

[tex]y = cx \\ y = 4 \times ( - 2) \\ y = ( - 8)[/tex]

Answer:

y = 4x

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 16 when x = 4 , then

16 = 4k ( divide both sides by 4 )

4 = k

y = 4x ← equation of variation

When x = - 2 , then

y = 4 × - 2 = - 8

Answer:

14.21267

Step-by-step explanation:

Answer:

[tex]195[/tex]

Step-by-step explanation:

Let [tex]a[/tex] represent the number of math problems Matthew solved on Sunday. From the problem, we know he solved [tex]5a[/tex] problems on Saturday.

Therefore, we have:

[tex]5a+a=234,\\6a=234,\\a=39[/tex]

Substitute [tex]a=39[/tex] into [tex]5a[/tex]:

[tex]5(39)=\boxed{195}[/tex]

Answer:

The customer should pay RS 506 for a novel book costing RS 450.

Step-by-step explanation:

We are given that

Selling price of calculator, S.P=RS 756

Cost of calculator, C.P=RS 700

We have to find S.P of novel book when the cost of novel book RS 450.

Profit=S.P-C.P

Profit=756-700

Profit=RS 56

Profit of each item is equal.

Therefore, profit for novel book=RS 56

C.P of novel book=RS 450

S.P=C.P+ Profit

Using the formula

S.P=450+56

S.P=RS 506

Hence, the customer should pay RS 506 for a novel book costing RS 450.

Answer:

14201.63

Step-by-step explanation:

14187.63

+   14.50

=14201.63

Answer:

x=-9/10

Step-by-step explanation:

2x+8x+16=7

Step 1: Simplify both sides of the equation.

2x+8x+16=7

(2x+8x)+(16)=7(Combine Like Terms)

10x+16=7

10x+16=7

Step 2: Subtract 16 from both sides.

10x+16−16=7−16

10x=−9

Step 3: Divide both sides by 10.

10x/10

=

−9/10

x=-9/10

Answer:

x = - 4 ± [tex]\sqrt{7}[/tex]

Step-by-step explanation:

Given

x² + 8x + 16 = 7 ( subtract 16 from both sides )

x² + 8x = - 9

Using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(4)x + 16 = - 9 + 16

(x + 4)² = 7 ( take the square root of both sides )

x + 4 = ± [tex]\sqrt{7}[/tex] ( subtract 4 from both sides )

x = - 4 ± [tex]\sqrt{7}[/tex]

Then

solutions are x = - 4 - [tex]\sqrt{7}[/tex] , x = - 4 + [tex]\sqrt{7}[/tex]

Answer:

-13

Step-by-step explanation:

Adding a negative means that you subtract the number as + (-) = -

This means that the equation is -4-9=-13.

Answer:

-13

Step-by-step explanation:

Answer:

C: (12x - 5) ( 2x - 1)

Step-by-step explanation:

12 x ( 2x- 1 ) -5  (2x - 1 )

= (12x - 5 ) ( 2x -1)

Hope it helps !

Answer:

12x-5 2x-1

Step-by-step explanation:

This is the correct answer. Answer C

Answer:

4

Step-by-step explanation:

The staffs takes 7.2 hours to clean 27 rooms

Therefore in one hour, the number of rooms cleaned is

= 7.2/27

= 0.2666

The number of hours required to 15 rooms is

= 0.2666×15

= 4 hours

Answer: yes

Step-by-step explanation: because if you can draw a line through the graph and hit most of the dots it would be considered linear.

Answer:

Yes

Step-by-step explanation:

The correlation of the dots is very strong although it can't be a straight line.

Hope this helps

Answer:

Option C

Step-by-step explanation:

complete question

A. 35[3]6cB. 12[3]12cC. 12[3]6cD.72c

The given equation can be written as

5^3√6c+7^3√6c

5 * [tex]\sqrt{3 *3*2c}[/tex] + 7 * [tex]\sqrt{3 *3*2c}[/tex]

5 * 3 *[tex]\sqrt{2c}[/tex] + 7 * 3  *[tex]\sqrt{2c}[/tex]

15  *[tex]\sqrt{2c}[/tex] + 21 *[tex]\sqrt{2c}[/tex]

36 *[tex]\sqrt{2c}[/tex]

12 [3]*[tex]\sqrt{2c}[/tex]

Option C is correct

Answer:

8

Step-by-step explanation:

S = -7 to V= 1 you count from -7 to 1

Answer:

5 loaves

Step-by-step explanation:

13 1/3 divided by 2 2/3 is 5 so the answer is 5 loaves.

Rewrite the fractions as improper fractions then divide the total amount used by the amount per loaf:

13 1/3 = 40/3

2 2/3 = 8/3

40/3 / 8/3

When dividing by a fraction flip the fraction over and multiply

40/3 x 3/8 = (40 x3) /( 3 x 8) = 120/24 = 5

She made 5 loaves of bread.

Answer:

the New Cone Volume is 0.1875 litres & the Volume of frustum is 11.8125 litres.

Step-by-step explanation:

According To Question,

We have Given A Right Circular Cone, Volume = 12 Litres .

Now, Let The Radius Of the base be r & the height be h .

Volume of Cone = 1/3×π×r²×h

thus, 1/3×π×r²×h=12

π×r²×h=36 → Equation. 1

Now, The new Cone is cut from the Plane Parallel to a base a quarter the way down from the vertex of the base. then the cone is cut at 1/4 from the base . So the Height of new Cone is h/r and the radius is r/4 .

Then, Volume Of new Cone=1/3×π×(r²/16)×(h/4)  ⇔ (Put Value From Equ. 1)

V= 12/64  ⇔ 0.1875 litres of new cone volume .

Then, the volume of Frustum = 12-0.1875 = 11.8125 litres

Answer:

1≤x≤5

Step-by-step explanation:

The domain is the values that x can take

X goes from 1 to 5

1≤x≤5

Answer:

c.  2 ≤ x ≤ 5

Step-by-step explanation:

The x value is equal to or greater than 2. The x value is equal to or less than 5.

Answer:

i think its 20

Step-by-step explanation:

Answer:

[tex] x \approx \: \boxed{49.471}[/tex]

Step-by-step explanation:

[tex] - 5 + 2In(3x) = 5 \\ 2In(3x) = 5 + 5 \\ 2In(3x) = 10 \\ In(3x) = \frac{10}{2} \\ In(3x) = 5 \\ \implies \: 3x = {e}^{5} \\ \implies \: x = \frac{ {e}^{5} }{3} \\ x = \frac{148.41316}{3} \\ x = 49.4710533 \\ x \approx \: \boxed{49.471}[/tex]

Answer:

x= e^ 5 / 3 OR 49.471

Step-by-step explanation:

-5=2In (3x)=5

determine the defined range

-5+2In (3x) = 5, x>0

move the constant to the right- move the five to the right and change the sign

2In (3x)= 5+5

calculate- add them together

2In (3x)=10

divide both sides by 2

In (3x)=5

covert into exponential form ( x=e^5)

3x= e^5

divide both sides by 3

x=e^5/3 , x> 0

(check if the solution is in the defined range) which is the answer

Problem 3

If we peel off the sticker off the side of a 3D cylinder, then we can form a rectangle (imagine we're able to peel it off completely without any folds or tears).

The length of the rectangular sticker is the distance around the curved circular base. So it's C = pi*d = pi*1.5 = 1.5pi inches across. The height of the rectangle is the same as the height of the cylinder. So the height is 5 inches.

The area of the rectangle is: length*width = (1.5pi)*(5) = 7.5pi

That's the exact area in terms of pi

If you use the approximation pi = 3.14, then we'll get 7.5*3.14 = 23.55 square inches as the final answer

==================================================

Problem 4

The square base has area of 38*38 = 1444 square cm

The side panels are 4 identical triangles. Each triangle has area base*height/2 = 38*55/2 = 1045 square cm. Meaning that all four triangles combine to a lateral surface area of 4*1045 = 4180 sq cm.

The total surface area is: 1444+4180 = 5624 square cm.

When you wrote 55*38*2+38*38 on your paper, you had the right idea because that evaluates to 5624

Answer:

7

Step-by-step explanation:

7√5÷5

5/5= 1 then,

√1=1

hence 7(1)=7

Answer:

[tex]a = - \frac{179}{171} \ , \ b = - \frac{20 \sqrt7}{171}\\\\[/tex]

Step-by-step explanation:

[tex]\frac{2 + 5 \sqrt7}{2 - 5 \sqrt7} = \frac{2 + 5 \sqrt7}{2 - 5 \sqrt7} \times \frac{2 + 5 \sqrt7}{2 + 5 \sqrt7}[/tex]                    [tex][ \ rationalize \ the \ denominator \ ][/tex]

         [tex]=\frac{(2 + 5 \sqrt7)^2}{(2)^2 -( 5 \sqrt7)^2}[/tex]                               [tex][ \ (a - b)(a+b) = a^2 - b^2 \ ][/tex]

        [tex]=\frac{4 + 25(7) + 20 \sqrt7}{4 - 25(7)}\\\\= \frac{4 + 175 + 20 \sqrt7}{4 - 175} \\\\= \frac{179 + 20 \sqrt7}{- 171} \\\\= \frac{179}{ -171} + \frac{20 \sqrt7}{-171}\\\\= - \frac{179}{ 171} - \frac{20 \sqrt7}{171}\\\\[/tex]          

Answer:

What? Your not even done.

Step-by-step explanation:

Answer:

y = 2/3x - 7.

Step-by-step explanation:

Using the point-slope form of a straight line:

y - y1 = m (x - x1) so we have

y -(-5) ) = 2/3 (x - 3)

y + 5 = 2/3x - 2

y = 2/3x - 7.

Answer:

y = 2/3x -7

Step-by-step explanation:

We know the equation of a line is

y = mx+b where m is the slope and b is the y intercept

y = 2/3 x +b

Substitute the point into the equation

-5 = 2/3 (3)+b

-5 = 2+b

Subtract 2 from each side

-7 = b

The equation of the line

y = 2/3x -7

Answer:

9. 1:53

10. 4:17

11. 2:52

12. 3:35

This should be it have a great day buddy!

B neither perpendicular nor parallel

Answer:

B

Step-by-step explanation:

B. neither perpendicular nor parallel

because, the line are not crossing nor are they aside from each other.

Complete question is;

Drag an answer to each box to complete this paragraph proof.

Given:

<ABC and <CBD are complementary angles and M<ABC = 35°

Prove:

M<CBD = 55°

It's given that <ABC and <CBD are ________.

So, m<ABC + m<CBD = 90° using the _______.

It is also given that m<ABC = 35°

Using substitution property of equality, you have ___ + m<CBD = 90°.

Therefore, using the subtraction property of equality, m<CBD = ___

Attached is an image of both angles.

Options to drag are;

Complementary angles, supplementary angles, definition of supplementary angles, definition of complementary angles, 35°, 55°, 90°

Answer:

It's given that <ABC and <CBD are __complementary angles___.

So, m<ABC + m<CBD = 90° using the __definition of complementary angles___.

It is also given that m<ABC = 35°

Using substitution property of equality, you have _35°_ + m<CBD = 90°.

Therefore, using the subtraction property of equality, m<CBD = _55°_

Step-by-step explanation:

Now, from angle properties, we know that the Sum of 2 Complementary angles is equal to 90°.

Thus, <ABC and <CBD are complementary angles.

Then;

m<ABC + m<CBD = 90° (using the definition of complementary angles as seen above).

It is also given that m<ABC = 35°

Now, Using substitution property of equality, we will have;

35°+ m<CBD = 90°

Subtract 35° from both sides to get;

35 - 35 + m<CBD = 90 -35

m<CBD = 55°

Answer:

a = 8 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Volume of a Cube Formula: V = a³

Step-by-step explanation:

Step 1: Define

Identify variables

V = 512 cm³

Step 2: Find a