A glass jug can hold (p + 6) quarts less water than a plastic container, 2 glass jugs and
2 plastic containers contain 6p quarts of water in all
how much water can the plastic container hold? give your answer is terms of p.
Answers
Answer:
12
Step-by-step explanation:
collect the like terms and divide
(p+6)2×2=64p+24=6p1) Water in a plastic container, p'= 10 - 3 p
2) Water in a glass container = 27 quarts
Water in a plastic container = 1 quarts
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A glass jug can hold (p + 6) quarts less water than a plastic container, 2 glass jugs and 2 plastic containers contain 6p quarts of water in all.
Now,
Let j represents water in one glass jag while p' represents the water in one plastic container,
Hence, According to the question,
⇒ j - p' = 6p+8 --------(1)
And, 2j+2p'=56p --------(2)
2 × equation (1)
⇒ 2 j - 2 p' = 12p + 16 ---------(3)
Equation (2) + equation (3)
We get, 4 j = 12 p + 72
⇒ j = 3 p + 18
Putting this value in equation (1),
We get, 3p+18-p'=6p+8
p' = -3p + 10 = 10 - 3p
Thus, water in a plastic container, p'= 10 - 3 p
b) If p=3
Water in a glass container = 3 × 3 + 18 = 27 quarts
Water in a plastic container = 10 - 3 × 3 = 1 quarts
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Answer:
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Step-by-step explanation:
2 servings=40 gummy bears
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Melanie bought a trampoline for her son. The price of the trampoline was $498.00 in a city where the sales tax is 6.7%. Find the sales tax and the total cost of the trampoline.
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Answer:
$22.11. $23.41. $23.79.
Step-by-step explanation:
2.36 ÷ $32.00 = 0.0735. Sales tax was charged by the department store at a rate of 7.375%.
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Sales tax rates vary from state to state. Retail sales tax rates are set by the individual states in the United States and vary from 0 to 9% of the sales price. Sales tax is usually the responsibility of the merchant to collect and submit to the state, and stated separately (or implicitly added at the time of the sale) to consumers. Let's look at some
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4,5,6,7,8,9,10
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Ann is flipping a coin and rolling two dice. How many outcomes are possible?
Answers
Step-by-step explanation:
The coin can result in one of two possibilities. For each of those . . .
The cube has 6 possibilities.
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what is the slope of line QX? X(5,5) and Q(4,1)
Answers
Answer:
4
Step-by-step explanation:
[tex]slope = \frac{5 - 1}{5 - 4} \\ = \frac{4}{1} \\ = 4[/tex]
Answer: 4
Step-by-step explanation:
Slope is rise over run, which is the change in the y-values divided by the change in the x-values. Each point is given as a coordinate pair: (x,y).
For point Q (4,1) the y-value is 1 and the x-value is 4.
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The numerator divided by the denominator equals the slope.
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Answers
Answer: 170
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Answer:
<CDA = 170⁰
Step-by-step explanation:
<A + <D = 180⁰ { Adjacent Angles of an parallelogram are supplementary}
10⁰ + <D = 180⁰
<D = 180⁰ - 10⁰ = 170⁰
<D = x⁰ = 170⁰ = <CDA
Number Sense George is thinking of a number less than 10 that has an odd product when multiplied by 5. What could George's number be?
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Explanation: 3x5=15 and 3 is less than 10
Why 00,13,589 is not the smallest possible 7-digit number?
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Answer:
1000000 is the smallest 7-digit number
Consider the graph given below. Determine which sequences of transformations could be applied to the parent function, f(x) = x, to obtain the graph above. Shift right 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2 Shift left 2 units, reflect over the y-axis, and then vertically stretch by a factor of 6 Reflect over the x-axis, vertically stretch by a factor of 2, and then shift up 6 units Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2 Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units Shift left 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2
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The sequences of transformations that could be applied to the parent function are (e) Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units
How to determine the sequence of transformation?The graph that completes the question is added as an attachment
From the attached graph, we have the following points
(3, 0) and (0, 6)
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[tex]g(x) = \frac{y_2 - y_1}{x_2 -x_1} * (x - x_2) + y_2[/tex]
This gives
[tex]g(x) = \frac{6 - 0}{0 -3} * (x - 0) + 6[/tex]
Evaluate the quotient
g(x) = -2 * (x) + 6
Expand
g(x) = -2x + 6
This means that the equation of the line is:
g(x) = -2x + 6
So, we have:
f(x) = x as the parent function and g(x) = -2x + 6 as the transformed function.
The transformations from f(x) to g(x) are as follows:
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Answer:
I agree with D
Step-by-step explanation:
just because
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Answers
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In this problem:
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Answers
Answer:
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Step-by-step explanation:
5.60-2.95 = the sum of the money left.
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Answer:
Square Root of 162 ~ 12.727
Step-by-step explanation:
Simply do the Pythagorean Theorem!
a^2 + b^2 = c^2
This case we're solving for the long side which is the hypothenuse.
9^2+9^2= c^
81+81=c^
162=c^
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Which is 12.727
A bag of flour weighs 2.5 kilograms.
About how much does the bag weigh in pounds ?
Round to the nearest tenth
I'll give you 55 points
Answers
Answer:
5.5 pounds
Explanation:
weight in kg = 2.5 kilograms
conversion:
1 kg ↔ 2.205 pounds
solve:
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5.5 pounds (nearest tenth)
Step-by-step explanation:
1 kilogram = 2.20462262 pounds
To determine how many pounds are in 2.5 kg, multiply by 2.5:
⇒ 2.5 kilograms = 2.20462262 × 2.5
= 5.5 pounds (nearest tenth)
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Answers
x+9=24.5
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I think it right
If f(x) = 10x^3-37x^2+15x+18 and x-3 is a factor of f(x), then find all of the zeros of f(x) algebraiclly.
Answers
Answer:
x=6/5 and x=-(1/2)
Step-by-step explanation:
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To find the zeros, we set f(x) = 0 for both factors
[tex]5x-6=0\\5x=6\\x=6/5[/tex]
[tex]2x+1=0\\2x=-1\\x=-1/2[/tex]
Therefore the zero's of f(x) are x = 6/5 and x= -(1/2)
Which of the following numbers CANNOT represent the probability of an event?
A. -0.5
B. 1
C. 0
D. 0.675
Answers
Explanation: because it is a negative number and is less than 0 so it can’t be a probability for an event
-0.5 cannot represent the probability of an event.
Correct option is (A).
What is Probability?This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Arithmetic uses probability to predict how probable certain events are to occur. Probability generally refers to the degree to which something is likely to occur.
As per the given data:
We have to find out that, which of the following numbers CANNOT represent the probability of an event.
Probability of an event = [tex]\frac{Favorable \: Events}{Total \: Number \: of \: Events}[/tex]
Favorable events or total number of events can never be negative, hence the probability of any event cannot be negative.
So from the above reasoning we can say that -0.5 cannot represent the probability of an event.
Hence, -0.5 cannot represent the probability of an event.
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Answer: 61 in^2
Step-by-step explanation
triangle length = half of left side + 1.5
triangle length = 2 + 1.5 = 3.5
triangle area = (.5)(base)(length)
triangle area = (.5)(6)(3.5) = 10.5
you have 2 triangles
10.5 + 10.5 = 21
area of rectangle = left side width x length
area of rectangle = 4 x 10 = 40
add areas
21 + 40 = 61
Answer:
61 in^2
Step-by-step explanation:
The arrow is made of a rectangle and a triangle.
The rectangle's lengths is 10 in by 4 in. So, its area is 10 in * 4 in = 40 in^2
The triangle's lengths are 7 in by 6 in. So, its area is (7 in * 6 in)/2 = 21 in^2
add everything together.
Lucia checked her online bank statement which shows the current balance is $412.76, pending withdrawals are $481.23, and pending credits are $134.00. What is Lucia's current available balance? (4 points)
−$202.47
$65.53
$123.67
$777.20
Answers
Considering the withdraws and credits, Lucia's current available balance is of $65.53.
How do we find a balance?It is given by the sum of the money that the people has with the pending credits, and subtracted by the pending withdraws.
In this problem, we have that:
Lucia has $412.76, with pending credits of $134.00.She has pending withdraws of $481.23.Hence, her avaiable balance is given by:
412.76 + 134 - 481.23 = $65.53.
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please help fast it is due
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A right triangle with a 45 degree angle means the two short sides are the same, so y = 30
the hypotenuse is the length of the side x sqrt (2), so x =30sqrt(2)
answer: x = 30sqrt(2) and y = 30
Hi. What's 8.563 + 4.8292?
Answers
Answer:
8.563 + 4.8292 = 13.3922
Step-by-step explanation:
Remember to line up the decimal points and put zeros in any right-hand columns that don't have numbers if necessary (ex: 8.5630 + 4.8292).
Hope this helps!!
Can someone please tell me the rest of the answers?
Answers
Answer:
35 miles per hour.
223 minutes to reach destination.
Step-by-step explanation:
It's counting down by 35
35 miles per hour.
260/35=7.42857142857
7.42857142857*30=222.857142857
Rounding to nearest whole number
223
SonicIsCoool
On Scratch you tube, Inst and much more here to help :)
Two lines that are ____________ have one solution.
Answers
Answer:
Not parallel
Step-by-step explanation:
Could be perpindicular or not parallel
(Please someone help me!) (No links!)
What do I put??
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Answer:
X=16
Missing angle = 48
Step-by-step explanation:
The measure of the missing angle is 48
This is because it’s a right angle meaning the two angles HAVE to equal 90.
You can set the equation as
42 + 3x=90
3x= 48 (subtract 48 by 90)
X=16 (divide both sides by 3)
And then you can plug 16 back into the 3x which would be 3(16) which equals 48
Or
You can set the equation as
90-42= 48
And divide by 3 to get x=16
A researcher weighed watermelons grown across a certain region. The data are rounded to the nearest pound and displayed in this histogram.
What does the fourth bin represent?
Select from the drop-down menu to correctly complete the statement.
Four watermelons weigh
Answers
Answer:
at least 12 pounds but less than 16 poundsStep-by-step explanation:
as you can see on the chart its less then 16 but at least 12 pounds
Explanation:
I took the K12 5.08 Quiz: Create and Interpret Histograms.
I will only list the questions and the CORRECT answers below.
1. A shopping center keeps track of the number of customers in each store at lunch time. The data shows the number of customers in the 15 different stores in the shopping center last Sunday.
4, 18, 20, 17, 16, 23, 19, 14, 8, 8, 6, 12, 10, 14, 18
0-4 = 1
5-9 = 3
10-14 = 4
15-19 = 5
20-24 = 2
2. The list shows the distance driven by 10 different families on vacation.
199, 58, 180, 226, 191, 201, 167, 180, 199, 205
Which frequency table represents this data?
Miles Driven Frequency
0 - 49 0
50 - 99 1
100 - 149 0
150 - 199 6
200 - 249 3
3. How many more students have 2 or 3 siblings than 4 or 5 siblings?
9 students.
4. How many shoppers are at least 30 years old?
5 shoppers.
5. What does the fourth bin represent?
Four watermelons weigh
At least 12 pounds but less than 16 pounds.
Hope you do well on future quiz's!! Have an amazing year/decade!
Quickly before the timer runs out
Answers
Answer:
47°
Step-by-step explanation:
sum of angles in triangle=180
x + 90 + 43 = 180
x = 180 - 90 - 43
= 47
Hope it helps:)
If you can help me with this please and thank you
Answers
Answer:
1) im not sure
2) im not sure
3) 72 degrees
Step-by-step explanation:
