Answer:Let x be the number of full cup sold Let y be the number of half cup sold Whether the cup was full or not, they used 37 cups. Therefore, x + y = 37 How much money did they make selling half cup lemonade? They made y × 0.25 How much money did they make selling full cup lemonade? They made x × 0.50 Money made selling full cup + money made selling half cup = 15 x × 0.50 + y × 0.25 = 17 You end up with a system of linear equation to solved x + y = 37 x × 0.50 + y × 0.25 = 17 x + y = 37 equation 1 0.50x + 0.25y = 17 equation 2 Solve for y in equation 1 x + y = 37 x - x + y = 37 - x y = 37 - x Replace y in equation 2 0.50x + 0.25 (37 - x) = 17 0.50x + 0.25 × 37 - 0.25x = 17 0.50x + 9.25 - 0.25x = 17 0.25x + 9.25 = 17 0.25x + 9.25 - 9.25 = 17 - 9.25 0.25x = 17 - 9.25 0.25x = 7.75 Divide both sides by 0.25 0.25x/0.25 = 7.75/0.25 x = 31 y = 37 - x = 37 - 31 = 6 Sasha and Francisco sold 31 full cup and 6 half cup of lemonade It seems like people love their lemonade
Step-by-step explanation:
hoped this helpedddd
Solve the quadratic equation x2+8x−30=0 by completing the square.
What are the solutions to the quadratic equation, if any?
x=4±46−−√
This equation has no real solutions.
x=4±34−−√
x=±46−−√
Answer:
[tex]\bold{x=-4\pm\sqrt{46}}[/tex]
Step-by-step explanation:
[tex](a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}[/tex]
The solution to the quadratic equation by completing the square will be
x = -4 ± √46. The correct option is A.
What is a quadratic equation?It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given equation will be solved as below:-
x² + 8x − 30 = 0
Completing the square for the above equation.
( x + 4 )² - 16 - 30 = 0
( x + 4 )² = 46
x + 4 = ±√46
x = ±√46 - 4
Therefore, the solution to the quadratic equation by completing the square will be x = -4 ± √46. The correct option is A.
To know more about quadratic equations follow
https://brainly.com/question/1214333
#SPJ2
o MULTIPLE CHOICE QUESTION What should the graph look like for: x <3
if you have a graphing calculator (i use a website called desmos) put in x < 3. i attached a photo of what the graph should look like. the shaded area is where the solutions are. since the shaded area ends with a dotted line, points on that dotted line are not part of the solution.
i hope this helps! sorry i couldn't give a more descriptive explanation... it's pretty much all in the picture lol. have a lovely day! <3
Answer:
getting points since this is an old question tehe
A sno-cone machine priced at $139 is on sale for 20% off. The sales tax rate is 6.75%. What is the price of the sno-cone machine after the discount and sales tax?
Answer:
$127.03
Step-by-step explanation:
A snow cone machine price at $139 is on after for 20 off.
The price after discount=139-20=$199
The sale tax rate 6.75%
Price with sales tax=199+(6.75%×199)
=199+(0.0675×199)
= 199+8.03
=$127.03
А
R
29
20
B
21
Find tan(a) in the triangle.
Answer:
Step-by-step explanation:
Question Progress
Solve the inequality 5y + 4 < 3y + 17
Answer:
y < [tex]\frac{13}{2}[/tex]
Step-by-step explanation:
Given
5y + 4 < 3y + 17 ( subtract 3y from both sides )
2y + 4 < 17 ( subtract 4 from both sides )
2y < 13 ( divide both sides by 2 )
y < [tex]\frac{13}{2}[/tex]
Answer:
y < 13/2
Step-by-step explanation:
Tell whether the ordered pair is a solution of the system of equations. Y=3x-3 Y=-x+5 (3,6)
9514 1404 393
Answer:
not a solution
Step-by-step explanation:
The given pair does not satisfy the second equation.
y = -x + 5
6 = -3 + 5 . . . . . . . . false for (x, y) = (3, 6)
The ordered pair is not a solution to the system of equations.
The moving of the orientation or position of an angle changes the measurement of the angle. True or false
Answer:
the correct answer is true
Answer:
I believe this is true!
Hope that helps!
What is the distance between (7,-3) and (4, -5)
Answer:
(3,2)
Step-by-step explanation:
A 2-year loan of $500 is made with 4% simple interest.Find the interest earned
Answer:
$40
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 500(.04)(2)
Based on the information given the interest earned is $40.
Using this formula
Interest =Principal× Rate× Time
Where:
Time =2 year
Principal=$500
Rate=4% or 0.04
Let plug in the formula
Interest=500(0.04)(2)
Interest=$40
Inconclusion the interest earned is $40.
Learn more here:https://brainly.com/question/20981855
-3 + 4g = 7g. Solve for g.
Answer:
g=-1
Step-by-step explanation:
-3 + 4g= 7g
-4g. -4g
g=-1
You are raising money by holding a bake sale at school. You have a budget of $100 to set up the bake sale. You provide volunteers with $40 of materials. Each table that you plan to rent costs a flat rate of $10. How many tables can you rent?
Answer:
6 Tables
Step-by-step explanation:
100 = 10x + 40
60 = 10x
6 = x
good luck, hope this helps :)
6 tables
100-40=60
each table = 10
60 divided by 10=6
Factor completely
x^2 - 8x + 16
Answer:
(x - 4)^2
Step-by-step explanation:
PLEASE HELP ME!!!!!!!!!!!!
Rosa is selling juice and cookies for a fundraiser. She earns $2 for every cookie and $3 for every bottle of juice. She wants to earn at least $24 from all the sales. Let x represent the number of cookies sold and y represent the number of bottles of juice sold. What does the slope of this inequality represent? 2x + 3y ≥ 24
Answer:
The slope is 2. It represents the price of the cookies.
Step-by-step explanation:
The slope is 2 because its in frount of the x and 2 is the price of the cookies.
Solve 4/y=2/11 plz i need answer
juanyra,hannah,and bella went out for pizza.juanyra ate 1/3 of the pizza,hannah ate 2/6 of the pizza,and bella ate 1/4 of the pizza.how much did they eat toghether.
Answer:
1 - (1/4 + 2/3)
1 - (3/12 + 8/12)
1 - 11/12
1/12 left
Find the value of x.
Answer:
x=7
Step-by-step explanation:
Since the two lines, the transversal intersects are parallel we know that the angles are same-side interior. This means they are supplementary or add up to 180. Therefore, to solve add the two expressions and set them equal to 180, then solve with properties of equality.
14x+7+10x+5=180
First, add like terms
24x+12=180
Then, subtract 12 from both sides
24x=168
Next, divide both sides by 24
x=7
What is the height and area of the polygon?
Answer:
Below in bold.
Step-by-step explanation:
If we draw a line from top right vertex perpendicular to the bottom line we get a right triangle.
Height of this triangle = sqrt(5^2 - 3^2) = 4.
This is also the height of the polygon.
The polygon is a trapezium so:
Area of the polygon = 1/2(5 + 8) * 4
= 6/5 * 4
= 26 m^2.
ZPRS and ZSRQ are supplementary angles.
85
Р
R
Q
What is the measure of ZSRQ?
O 5
O 15
O 95
O 105
Answer: 95
Step-by-step explanation: All supplementary angles always have to equal 180 degrees which means that you have to only do 180-85 and boom- 95- that is ur answer. Plz mark Brainliest:).
JJack, Jill, and Bill each carried a 48-fluid ounce bucket full of water down the hill. By the time they reached the bottom, Jack's bucket was only 3/4 full, Jill's was 2/3 full, and Bill's was 1/6 full. How much water did they spill altogether on their way down the hill?
Answer:
Jill lost 1/3
Bill lost 1/6
and Jack lost 1/4
Make a common denominator - let's use 12
Jill lost 4/12
Bill lost 2/12
Jack lost 3/12
Add them together = 9/12
reduce by dividing by 3.
total of 3/4 spilt
48 divided into 4 parts then multiplied by 3 of those parts
48 / 4 * 3 = 36
Step-by-step explanation:
What errors did her coach make in the following example
Answer:
its the last one & the 3rd one.
hope that helps
8.please help this is timed !!!
Answer:
X=4
Step-by-step explanation:
x+y=6
(+)x-y=2 (Add to get rid of y's)
2x=8
2x/2=8/2
x=4
Robert nixes yellow and blue paint in the ratio of three to two if he used 12 gallons of yellow paint how many gallons of blue paint would he use
Answer: 8 gallons of blue
Step-by-step explanation:
Robert mixes the paint in the ratio:
= 3 yellow : 2 blue
If there are 12 yellow used then direct proportion can be used:
3 : 2
12 : x
Cross-multiplying will give:
3x = 24
x = 24 / 3
= 8 gallons of blue
Find x and y. please help
Answer:
option c is the correct one according to me......
Justin wants to place one of his 4 signed hockey sticks on his shelf. The length of the shelf is exactly 1.05 meters. His 4 hockey sticks and their lengths are shown below.
Answer:
Stick 2
Step-by-step explanation:
Given
[tex]L = 1.05m[/tex] --- Shelf length
Missing information from the question are:
[tex]Stick\ 1 = 1.4m[/tex]
[tex]Stick\ 2 = 1.041m[/tex]
[tex]Stick\ 3 = 1.14m[/tex]
[tex]Stick\ 4 = 1.104m[/tex]
See attachment
Required
Which stick best fits the shelf?
The following observations are to be noted:
The length of stick 1 of 1.4m is greater than the length of the shelfThe length of stick 3 of 1.14m is greater than the length of the shelfThe length of stick 4 of 1.104m is greater than the length of the shelfOnly stick 2 (of length 1.041m) has a smaller length when compared to the length of the shelf.
Hence, Justin should choose stick 2
Select all expressions that are equivalent to 5x + (x+6) +3x.
A.8x+6
B.6x+6+3x4
C.5x+6+ 3x
D.9x+6
HURRY PLZ
Answer:
The correct answer is 9x+6.
Step-by-step explanation:
The equivalent expression to the given expression is 9x+6.
The given expression is:
5x + (x+6) +3x.
What is an expression?An expression is a set of terms combined by mathematical operations.
5x + (x+6) +3x
=5x+x+3x+6
=9x+6
So, equivalent expression is 9x+6.
Thus, the equivalent expression to the given expression is 9x+6.
To get more about expressions visit:
https://brainly.com/question/945593
i put the wrong screenshot lol this is the last one for 25
Answer:
The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree
Step-by-step explanation:
thankuuuu,☺Answer:
D or 8sqrt3
Step-by-step explanation:
the shortest side = the longest divided by 2
the shortest side = 16/2
the shortest side = 8
the longer side = the shortest times sqrt3
the longer side = 8 times sqrt3
the longer side = 8sqrt3
Jana has $10. She wants to buy a bottle of nail polish for $9.50. The sales tax is 7%. Does she have enough money?
Answer:no, she would be 17 cents short
Step-by-step explanation:
Answer:
No.
Step-by-step explanation:
Compute the tax =
9.50 * 7% = 9.5 * .07 or 66.5 cents.
Since she only has $10, she does not have enough money.
solve using quadratic equation
Answer:
±5 is your answer
Step-by-step explanation:
x²-25=0
comparing above equation with ax²+bx+c
we get
a=1
b=0
c=-25
by using quadratic equation
x=(-b±√(b²-4ac))/2a=(-0±√(0²-4×1×-25))/2×1
=±{√(100)}/2=±(√10²)/2=±10/2=±5
Answer:
5, - 5
Step-by-step explanation:
x^2 = 25
x = ± √25
= ± 5
x = 5, - 5
Ms.Aluma is 165cm tall. She wants to find the square of her height In meters.
What is square of her height rounded to the nearest hundredth?
Height (m) x height (m) =height squared (m exponent 2)
Enter your answer in the box.
Answer:
2.72 cm2
Step-by-step explanation:
Height (m) x height (m) =height squared (m exponent 2)
The square of her height in meter² is 2.7225.
How to do decimal multiplication ?To multiply numbers with decimals one way is to multiply the given numbers without the decimal then in the obtained result put the decimal as many places before from the right as the sum of the digits after the digits which those decimal numbers had.
According to the given question Ms. Aluma is 165cm tall.
We know 165 cm is = (165/100)meter = 1.65meter.
As 1 meter is 100 centimeter.
∴ The square of her height is (1.65)² OR (1.65×1.65)m² which is
= 2.7225 m².
learn more about decimals here :
https://brainly.com/question/548650
#SPJ2
I NEED HELP PLEASEEE!!!!
Answer:
1/4
Step-by-step explanation:
You are being asked to find 1/3 of 3/4. To find a fraction of a number, you multiply them:
1/3 * 3/4
(cross multiply)
3/12
(simplify (divide top and bottom by three))
1/4
