let apple juice = x
milk = 2x
fruit punch = 3x
3x + 2x + x = 660
6x = 660
x = 660/6
x = 110 apple juices
2*110 = 220 milks
3*110 = 330 fruit punches
Let a, b, c, and d be constants. Describe the possible solution sets of the inequality ax+b
An inequality's solution set is determined by its specific properties. For a quadratic inequality, it can be solved by first finding the roots with the quadratic formula and then testing ranges between the roots to see where the inequality holds.
Explanation:The question seems a bit incomplete, as there is no inequality provided related to constants a, b, c, and d. Typically, if we had a complete inequality, the solution set would depend on the specifics of the inequality. For instance, if we took a quadratic inequality, ax²+bx+c>0, or ax²+bx+c<0, we would solve it by finding the roots using the quadratic formula (-b ± √b² - 4ac) / 2a, which gives us the values of x where the expression equals zero, and testing regions determined by these roots to find where the inequality holds. However, without a specific inequality provided, it's difficult to describe the possible solution sets accurately.
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Suzanne can work 10 math problems in 15 minutes. How many can she work in an hour and a half?
90/15=9
9*10=90
so your answer would be 90
Which best describes the set of odd numbers between zero and ten?
Null set
{-9,-7,-5,-3,-1,1,3,5,7,9}
{1,3,5,7,9}
All real numbers
The table shows the low temperatures in Alto for 5 days.What is the average low tempreature
Starting at sea level, a submarine descended at a constant rate to a depth of − 4/5 mile relative to sea level in 3 minutes.
What was the submarine's depth relative to sea level after the first minute?
Answer:
[tex]\texttt{Submarine's depth relative to sea level after the first minute = }-\frac{4}{15} miles[/tex]
Step-by-step explanation:
Starting at sea level, a submarine descended at a constant rate to a depth of −4/5 mile relative to sea level in 3 minutes.
Total time = 3 minutes
[tex][tex]\texttt{Total depth descended in 3 minutes = }-\frac{4}{5}miles[/tex][/tex]
We need to find what was the submarine's depth relative to sea level after the first minute,
[tex]\texttt{Depth descended in per minute = }-\frac{\frac{4}{5}}{3}=-\frac{4}{15}miles[/tex]
[tex]\texttt{Submarine's depth relative to sea level after the first minute = }-\frac{4}{15}\times 1=-\frac{4}{15} miles\\\\\texttt{Submarine's depth relative to sea level after the first minute = }-\frac{4}{15} miles[/tex]
25/28=375/x. Use equivalent ratios to solve the proportion.
Max makes and sells posters. The function p(x)= -10x^2 +200x -250, graphed below, indicates how much profit he makes in a month if he sells the posters for 20-x dollars each. (Picture in comments) What should Max charge per poster to make the maximum profit, and what is the maximum profit he can make in a month? A: $800 at $10 per poster B: $800 at $5 per poster C: $750 at $10 per poster D: $750 at $5 per poster
Answer:
$750 at $10 per poster
Step-by-step explanation:
-10+ (-15)=??? Plzzz help me show work plz <3
Tony is the best pizza delivery man in the city. He has been offered a job from Pizza Tent, which has given tony his pay options in the following function. S represents Tonys salary, and p represents the number of pizzas he delivers. S= 2.75 + 52
Rami bought 4 pairs of jeans his total bill including tax was $80.29 if each pair of jeans costs $18.50 before tax was added what tax rate did rami pay on the jeans
How to add 3/5 and 1/10 in simplest form
FILL IN THE BLANK 1. x-7>10 X>______ 2. 3x ≤ 21 x ≤_____ 3. 5a-2<18 a<_____ 4. 2t + 8 ≥ -4(t+1) t≥______
Answer with Step-by-step explanation:
1. x-7>10
Adding 7 on both sides,we get
x>17
2. 3x ≤ 21
Dividing both sides by 3,we get
x≤7
3. 5a-2<18
Adding 2 on both sides, we get
5a<20
Dividing both sides by 5,we get
a<4
4. 2t + 8 ≥ -4(t+1)
Distributing -4 on right hand side of inequality
2t+8 ≥ -4t-4
2t+4t ≥ -4-8
6t ≥ -12
Dividing both sides by 6, we get
t ≥ -2
Jose paid $47.00 for 4 movie tickets. Each ticket cost the same amount. What was the cost of each movie ticket in dollars and cents?
Jason is standing on the ground and throws a ball vertically upward with an initial speed of 80 ft/sec. Its height after t seconds is given by h = 80t-16t^2
a) How high does the ball go?
b) How many seconds does it take to reach maximum height?
c) When does the ball hit the ground?
is 3.6666.... a rational number? explain
HELP ASSAP WITH THIS QUESTION
Write the equation of a line with slope m that passes through the origin
What is the estimat of 1,537×242 need answer aspA
which of the following uses a variable to represent a person a place or thing that is unknown
Answer: Mr. X
Step-by-step explanation: Unknown Person (variable)
Vince has 16 beads. How many different arrays can Vince draw to represent the total number of beads he has? List the sizes of the arrays.
There are 36 different arrays that Vince can draw to represent the total number of beads he has. The sizes of the arrays range from 1 to 16 beads.
To find the different arrays Vince can draw to represent the total number of beads he has, we need to consider all the possible ways he can arrange the beads. Essentially, we are looking for all the possible partitions of 16.
A partition of a number represents the different ways it can be expressed as a sum of positive integers. In this case, we want to find all the partitions of 16.
To do this, we can list all the possible sizes of arrays that Vince can draw. Here are the possible sizes:
16
15 + 1
14 + 2
13 + 3
12 + 4
11 + 5
10 + 6
9 + 7
8 + 8
14 + 1 + 1
13 + 2 + 1
12 + 3 + 1
11 + 4 + 1
10 + 5 + 1
9 + 6 + 1
8 + 7 + 1
12 + 2 + 2
11 + 3 + 2
10 + 4 + 2
9 + 5 + 2
8 + 6 + 2
7 + 7 + 2
10 + 3 + 3
9 + 4 + 3
8 + 5 + 3
7 + 6 + 3
6 + 6 + 4
9 + 3 + 3 + 1
8 + 4 + 3 + 1
7 + 5 + 3 + 1
6 + 6 + 3 + 1
8 + 3 + 3 + 2
7 + 4 + 3 + 2
6 + 5 + 3 + 2
5 + 5 + 4 + 2
7 + 3 + 3 + 3
6 + 4 + 3 + 3
5 + 5 + 3 + 3
4 + 4 + 4 + 4
So, there are 36 different arrays that Vince can draw to represent the total number of beads he has. The sizes of the arrays range from 1 to 16 beads.
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Mariah borrowed 15 books from the library last month. She's already read 2/5 of them. How many of the 15 books has she read?
an ice cream factory makes 200 quarts of ice cream in 10 hours . How many quarts could be made in 12 hours? what was that rate per day ?
Sharon called 3 friends on Friday. On Saturday, each of those 3 friends called 3 different friends. On Sunday, each person who was called on Saturday called 3 different people.
How many friends were called on Sunday?
The number of friends that were called on Sunday are 27 friends.
On Friday, the number of friends Sharon called = 3 friends
On Saturday, the number of each of those 3 friends called 3 different friends.
Therefore the number of friends on Saturday = 3×3
= 9
The number of friends called on Sunday = 9 × 3
= 27
Therefore the number of friends called on Sunday= 27
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Find the distance from the point (4, 1, −1) to the plane x − 2y + 2z + 3 = 0
Theresa sells lemonade for $1, juice for $1.50, and coffee for $2. On one day, the number of coffees she sells is twice the number of lemonades she sells, and 4 more than the number of juices she sells. If she earns a total of $74, how many lemonades did she sell?
Am I correct? Please check my answer
Max's bill at a restaurant is $8.67. He uses the following method to figure out a tip of about 15%. Round the amount of the bill to the nearest ten cents. Move the decimal point one place to the left. Then find half of the result. Add the last two answers and round to the nearest five cents. How much will the tip be for the bill? Why does Max's method work?
Marco wants to set up 12 small turbines with 3 blades each.If 4 wind turbines blades cost $79.64,how much will all the blade cost?
If Marco wants to set up 12 small turbines with 3 blades each. If 4 wind turbines blades cost $79.64 then $716.76 costs for all blades.
What is Equation?Two or more expressions connected with an equal sign is called ad equation.
Given Marco wants to set up 12 small turbines with 3 blades each. If 4 wind turbines blades cost $79.64, then we have to find the cost of all blades.
Each turbine has 3 blades, so for 12 tubines we have
3×12=36 blades.
If 4 blades cost is $79.64, then we have to find cost of 36 blades.
Let y be the cost of 36 blades.
4 /36= 79.64/y
Use cross multiplication,
4 * y = 36 * 79.64
4y = 2,867.04
y=716.76
Therefore 36 blades cost is $ 716.76.
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sarah has sold $33 worth of tickets sales to the comedy show. She has 4 tickets left to sell at $11 per hour
Answer:
The domain of the function is {0,1,2,3,4} and the range of the function is {$33, $44, $55, $66, $77}
Step-by-step explanation:
Consider the provided information.
Sarah has sold $33 worth of tickets sales to the comedy show. She has 4 tickets left to sell at $11 per hour.
First write the function as shown.
Let the number of tickets are x and she already sold $33 worth of tickets.
Therefore the function is: [tex]f(x)=11t+33[/tex]
For t=0
[tex]f(0)=11(0)+33=33[/tex]
For t=1
[tex]f(1)=11(1)+33=44[/tex]
For t=2
[tex]f(2)=11(2)+33=55[/tex]
For t=3
[tex]f(3)=11(3)+33=66[/tex]
For t=4
[tex]f(4)=11(4)+33=77[/tex]
Hence, the domain of the function is {0,1,2,3,4} and the range of the function is {$33, $44, $55, $66, $77}
Diana and Sujit clean homes for a summer job they charge $70 for the job plus 5% for supplies. A homeowner gave them a 15% tip. Did they receive more than $82 for their job? Explain.