Answer:
Part A
x + y ≤ 460...(1)
2.5·x + 1.25·y ≥ 600...(2)
Part B
The number of bottles of water the student must sell ≥ 192 bottles of water
Step-by-step explanation:
The given parameters are;
The selling price of each can of lemonade = $2.50
The selling price of each bottle of water = $1.25
The amount of money the club needs to raise = $600
The maximum number of cans and bottles the students can accept = 460
Part A
Let 'x' represent the number of cans of lemonade the students accept, and let 'y' represent the number of bottles the student accept, the system of inequalities that can be used to represent the situation can be presented as follows;
x + y ≤ 460...(1)
2.5·x + 1.25·y ≥ 600...(2)
Part B
The number of cans of lemonade the club sells, x = 144
The number of bottles of water the student must sell to cover the cost of costumes, 'y', is given from the second inequality as follows;
2.5 × 144 + 1.25·y ≥ 600
1.25·y ≥ 600 - 2.5 × 144 = 240
1.25·y ≥ 240
y ≥ 240/1.25 = 192
y ≥ 192
The number of bottles of water the student must sell = 192 bottles of water
A video game has a wheel that turns one degree every time the figure pops a ballon then figure has popped 40 balloons how many degrees has the wheel turned?
The plastic straws were placed under the wooden block to
Answer:
What? Your not even done.
Step-by-step explanation:
Use the number line to find the measure of SV
Answer:
8
Step-by-step explanation:
S = -7 to V= 1 you count from -7 to 1
Solve the equation. Round to the nearest thousandth.
[tex] - 5 + 2ln(3x) = 5[/tex]
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
which expression is equivalent to 5^3√6c+7^3√6c, if c ≠ 0
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
Which of the following are solutions to the quadratic equation? Check all that
apply.
x2 + 8x + 16 = 7
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]
What is the equation of the line that passes through the point (3,-5)(3,−5) and has a slope of \frac{2}{3}
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
A stationer fixes an equal rate of profit in his each item . If he sells a calculator costing Rs 700 for Rs 756 , how much should a customer pay for a novel book costing Rs 450 ?
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.
The area of a rectangle is 99 square units. Its width measures 11 units. Find the length of its diagonal. Round to the nearest tenth of a unit.
Answer:
14.21267
Step-by-step explanation:
The volume of aright circular cone is 12 litres calculate the volume of the two parts into which the cone is divided by a plane parallel to the base a quarter of the way down from the vertex to the base
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
Add the following numbers. (-4) + (-9) =
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:
Please help me as soon as possible!
36 - 2s² + t²
S = 2
T = 8
Answer:
i think its 20
Step-by-step explanation:
Uhh.. Hello can you please answer this? I am actually having hard time answer this activity.. Please!! Im not from Us im from Philippines and no one answeering my question correctly they're all useless!! HELP ME!! T^T
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
Help me plsssssssss
[tex]y \: \alpha \: x[/tex]
Let c be the constant
[tex]y = cx \\ 16 = c4 \\ c = \frac{16}{4} \\ c = 4[/tex]
SO:-[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
Math help please show work thanks
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
Which expression is equivalent to 24x2 – 22x + 5?
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
The figure below shows three quadrilaterals on a coordinate grid: A coordinate grid is shown from positive 8 to negative 8 on the x axis and from positive 8 to negative 8 on the y axis. An image of a rectangle labeled E is shown on ordered pair negative 1, negative 1 and negative 3, negative 1 and negative 3, negative 2 and negative 1, negative 2. Another image of a rectangle labeled G is shown on ordered pair negative 2, negative 2 and negative 6, negative 2 and negative 6, negative 4 and negative 2, negative 4. Another image of a rectangle labeled F is shown on ordered pair negative 1, 1 and negative 1, 2, and negative 3, 2 and negative 3, 1. Which of the following statements is true about the three quadrilaterals? E and F are similar but not congruent. E and G are similar but not congruent. G and F are similar and also congruent. E and G are similar and also congruent.
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:
pls say fast wrong answers = report
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]
The volume of a cube is 512 cm on the side length of the cube and drag the correct length to the empty box
Answer:
a = 8 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Volume of a Cube Formula: V = a³
a is a side lengthStep-by-step explanation:
Step 1: Define
Identify variables
V = 512 cm³
Step 2: Find a
Substitute in variables [Volume of a Cube Formula]: 512 cm³ = a³[Equality Property] Cube root both sides: 8 cm = aRewrite: a = 8 cmDianna made several loaves of bread yesterday. Each loaf required 2 and two-thirds cups of flour. All together, she used 13 and one-third cups of flour. How many loaves did Dianna make?
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.
Question is in photo.
Thanks
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
Increase 14187.13 by 14.5
Answer:
14201.63
Step-by-step explanation:
14187.63
+ 14.50
=14201.63
7√5÷5 please explain how u got the answer
Answer:
7
Step-by-step explanation:
7√5÷5
5/5= 1 then,
√1=1
hence 7(1)=7
write the solution as a coordinate pair. SHOW YOUR WORK!!!!!
GIVING BRAINIEST TO WHOEVER HELPS ME AND GETS IT RIGHT!!!
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
Which best describes the relationship between the line that passes through the points (1, -6) and (3,-2) and the line
that passes through the points (4, 8) and (6, 12)?
A. parallel
B. neither perpendicular nor parallel
C. same line
D. perpendicular
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.
It takes the staff 7.2 hours to clean 27 rooms in hotel many hours would it take them to clean 15 room? srep by step
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
Drag an answer to each box to complete this paragraph proof.
Given:
Prove:
M
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°
Pls I beg someone to finish ALL of this :(. I’ve stayed up all night to do this but I couldn’t figure all of them out. Pls pls pls!!! ill mark you brainliest n I can give you a thank you such as 5 Stars in return. Please take your time and I hope you all have a amazing day!
Answer:
9. 1:53
10. 4:17
11. 2:52
12. 3:35
This should be it have a great day buddy!
Matthew was assigned 234 math problems over the weekend. He completed five times as many problems on Saturday than Sunday. How many math problems did Matthew solve on Saturday?
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]
find the domain of the graphed function
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.