Manuel needs 20 liters of the 8% and 5 liters of 20% mixtures to be mixed so as to get 30 liters of a mixture of water and 10% lemon juice.
Let x represent the amount of 8% lemon juice in liters and y represent the amount of 20% lemon juice in liters.
Since Manuel wants to produce a 30 liters mixture from 8% lemon juice and 20% lemon juice, hence:
x + y = 30 (1)
Also, Manuel wants 30 liters of a mixture of water and 10% lemon juice, hence:
8% of x + 20% of y = 10% of 30 liters
0.08x + 0.2y = 3 (2)
Solving equation 1 and 2 simultaneously; multiply equation 1 by 0.2 and subtract equation 2 from the result:
0.12x = 3
x = 25 liters
x + y = 30
25 + y = 30
y = 5 liters
Manuel needs 20 liters of the 8% and 5 liters of 20% mixture
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Remove the brackets using the distributive law for the following: 5(4x - 3y) - 4(4x - 3y)
Answer:
4x - 3yStep-by-step explanation:
5(4x - 3y) - 4(4x - 3y)
= 5 × 4x - 5 × 3y - 4 × 4x + 4 × 3y
= 20x - 15y - 16x + 12y
= 20x - 16x - 15y + 12y
= 4x - 3y (Ans)
how much is a a $479.00 purchase with 7.5% sales tax
Answer:
$514.93
Step-by-step explanation:
Before Tax Price: $479.00
Sale Tax: 7.50% or $35.93
After Tax Price: $514.93
Which plot correctly displays the data set with maximum of 48, a minimum of 27, a median of 36, an upper quartile of 45, and a lower quartile of 32?
Options :
A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 48, and the box ranges from 32 to 45. A line divides the box at 36.
A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 46, and the box ranges from 32 to 45. A line divides the box at 36.
A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 48, and the box ranges from 31 to 39. A line divides the box at 36.
A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 46, and the box ranges from 31 to 39. A line divides the box at 36.
Answer:
A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 48, and the box ranges from 32 to 45. A line divides the box at 36.
Step-by-step explanation:
Given the five number summary which are all displayed on a box and whisker plot :
Maximum = 48
Minimum = 27
Median = 36
Upper Quartile = 45
Lower quartile = 32
Maximum and minimum values are displayed by the whiskers :
Starting point of whisker = minimum value
End point of whisker = maximum value
The quartiles are displayed by the box :
Starting point of the box = lower quartile
End point of the box = upper quartile
Line in between the box = Median
Simplify the following question:
which set of side lengths will form a right triangle 8,15,17
7,24,26
6,8,11
10,24,25
The image of the point (2, -3) under a translation is (-1, 1). Find the coordinates of the image of the point (5, 6) under the same translation.
Answer:
the anser is b great job
Step-by-step explanation:
Which of the following have no solutions?
Answer:
B
Step-by-step explanation:
sorry if its wrong
Answer:
I think your answer would be B.)
Step-by-step explanation:
srry if wrong hope this helps
Which one would it be
Answer:
A or [tex]\frac{\sqrt{6} }{2}[/tex]
Step-by-step explanation:
*note- this method only works because the denominator values are being multiplied, if they were being added then there are extra steps to keep in mind but for now this is simple*
Start by dividing the root 12 in the numerator by the root 2 in the denominator
[tex]\frac{\sqrt{12} }{\sqrt{2} }=\sqrt{6}[/tex]
Then we simply substitute back in the 2 (from the denominator) that we ignored for a second to get our answer
[tex]\frac{\sqrt{6} }{2}[/tex]
*note- if you are allowed to use a calculator then you could also plug in your values to check each answer option but since this question isn't too complicated there should be no need to do so unless you forget how to solve it algebraically*
14.5 divided bye 9 please
Answer:
1.61111111
Step-by-step explanation:
calculator
Answer:
1.6111111111.... or 1 11/18
Step-by-step explanation:
Well you just divide
14.5/9
A recipe calls for 3 cups of sugar and 9 cups of water. How many cups of water should
be used with 2 cups of sugar?
3 cups
B
8 cups
4 cups
D
6 cups
ANZWER QUICK PlZZ
Answer:
Step-by-step explanation:
3/9 = 2/w
Cross multiply.
3w = 18
w = 6 cups
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $700 and the daily rate for each partner is $1700. The law firm assigned 4 more partners than associates to the case and was able to charge the client $21200 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system
In ΔNOP, the measure of ∠P=90°, the measure of ∠N=27°, and PN = 50 feet. Find the length of NO to the nearest tenth of a foot.
Answer:56.1
Step-by-step explanation:
Clicked see solution
For her science fair project, Emily
conducted an experiment to investigate
the effects of watering on tomato plants.
She varied the amount of water given to
the plants and measured each plant's
height after two weeks. Emily
hypothesized that the more water she
added, the taller her tomato plants would
be.
1. Was Emily's hypothesis correct? Explain
your answer.
2. According to Emily's data, what is the
optimal weekly amount of water for
tomato plant growth? Explain your answer.
Answer:1 yes it is correct because the more water you give a plant the helter it is
2 about 2 times a day
Step-by-step explanation:
Neal purchases a digital camera for his
family to use on their vacatlart. The model he
purchases is on sale for $129. The sales tax
rate for his city iş 7.5%.
How much sales tax does Neal pay on the
digital camera?
Answer:
101.91
Step-by-step explanation:
Javier estimates the square root of 18 in the following way:
√18=2√9=2*3=6
A: Explain why her reasoning is incorrect.
B: Without using a calculator, the square root of 18 will be between what two values (remember to look for perfect squares/perfect square roots)? Show your reasoning. You do not need to find the decimal equivalent of the root.
Step-by-step explanation:
√18 = √(2x9) = 3√2. so they pulled the 2 out of the square root incorrectly.
4x4 = 16
5x5 = 25
so √18 is between 4 and 5. closer to 4
Suppose the population of a town is 17,400 and is growing 2% each year.
Predict the population after 9 years.
Answer: 20,532
Step-by-step explanation:
17,400(.02)=348
348(9)=3132
17,400+3132=20,532
Answer:
Step-by-step explanation:
This is an exponential growth function of the form:
[tex]y=ab^x[/tex] where a is the initial population and b is the growth rate. This could also be written as
[tex]y=a(1+r)^x[/tex] which is a bit more accurate. We'll use that one. r is the percent growth: 2% for us.
Filling in the formula:
[tex]y=17400(1+.02)^x[/tex] and then simplifying:
[tex]y=17400(1.02)^x[/tex]
That's the model for this population. Filling in any number of years for x will give you the population y. Our time is 9 years:
[tex]y=17400(1.02)^9[/tex]
Take care of the exponents first, giving us:
[tex]y=17400(1.195092569)[/tex] and then multiply to get
y = 20,794.6 or 20,794 people (since you can't have 6/10 of a person)
what does break-even mean in Maths Lit
Answer:
Break-even point is where the business is at an activity level (doing business) at which total cost = total sales, i.e. you have made enough income to cover the costs.
Answer:
The break-even point is the point at which total cost and total revenue are equal, i.e. "even". There is no net loss or gain, and one has "broken even"
Step-by-step explanation:
for example you want to run a hat business and it costs 10 dollars to produce each hat and a set price of 5000 dollars for the shop. and you sell each hat for 20 dollars. You would need to sell x number of hats in order to make what you spent. thats what break-even is. So basically you made back everything you spent and can bein to profit if that makes sense.
-7y-4 = 4y×(8-6)-64 answer fast
Answer: y=4
Step-by-step explanation:
-7y-4=8y-64
-7y-4+4=8y-64+4
-7y=8y-60
-7y-8y=8y-60-8y
-15y= -60
[tex]\frac{-15y}{-15}[/tex] =[tex]\frac{-60}{-15}[/tex]
y=4
A swimming pool manager is making a schedule for his lifeguards next Monday. The pool policy states that there must be 2 lifeguards on duty for a pool attendance of up to 20, 3 lifeguards on duty for an attendance of 21-50, 4 lifeguards on duty for an attendance of 51-75, and 5 lifeguards on duty for an attendance of 76-100. Based on last Monday's pool attendance shown in the graph, how many lifeguards should be scheduled at 2:00?
A. 4 lifeguards
B. 5 lifeguards
C. 3 lifeguards
D. 2 lifeguards
Answer: A.4
Step-by-step explanation:
The bank requires a minimum of $50 in the savings account.
it does not matter how much money is kept in the checking account
x represents the amount of money in the checking account and y represents the amount of money in the savings account.
what solution to the inequality?
Answer:
y≥50
(y is greater than or equal to 50 dollars)
Step-by-step explanation:
We don't need X as the amount in the checking account doesn't matter, so and Y must be equal to or greater than 50, so the answer is y≥50
Help please thank you:) QUICKLY!!!!!!!!!
Answer:
y = -8
Step-by-step explanation:
2x2 - 12
4 - 12 = -8
hope this helps
Lashonda's penny bank is
7/10 full. After she removes 240 pennies, it is 1/2 full. How many pennies can Lashonda's bank hold?
At a car dealership yesterday, the ratio of trucks sold to cars sold was 5.6. If the dealership sold 30 cars, how many trucks were sold?
Answer:
25
Step-by-step explanation:
ratio 5:6
[tex]\frac{5}{6} = \frac{x}{30}[/tex]
6x = 5(30)
6x = 150
x = 25
Two observers are standing on shore ½ mile apart at points A and B and measure the angle to a sailboat at a point C at the same time. Angle A is 63° and angle B is 56°. Find the distance from each observer to the sailboat. Round to the nearest hundredth of a mile.
Answer:
Step-by-step explanation:
The length 0.51 miles and 0.47 miles are the distances from each observer to the sailboat.
What is the Sine Rule?The Law of Sines (also called the Sine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.
Triangle is a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry.
As per the given question, the given data as:
A = 63
B = 56
C = 61 (because these angles should add up to 180)
c = 1/2
We know that the Sine Rule,
sin 63 / a = sin 61 / .5
a = 0.51 miles
sin 56 / b = sin 61 / .5
b = 0.47 miles
Therefore, the length 0.51 miles and 0.47 miles are the distances from each observer to the sailboat.
Learn more about Trigonometric functions here:
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Here is some more
Find the value of x: 3x−7=8x+23
Answer: x=6
Step-by-step explanation:
Answer:
x = -6
Step-by-step explanation:
Subtract 3x from both sides to get -7=5x+23.
Subtract 23 from both sides to get -30=5x.
Divide 5 from both sides.
x = -6.
Which fraction is equivalent to the fraction below?
18/24
Answer:
6/8 , 12/16 , 48/64
Step-by-step explanation:
The perimeter of a rectangle is 90 feet, and the length is 32 feet. What is the width of the rectangle?
A. 26 feet
B. 13 feet
C. 58 feet
D. 15 feet
Answer:
15 ft
Step-by-step explanation:
i hope it right im not very sure :)
Help I’ll mark Brainly est
Answer:
c
Step-by-step explanation:
it's c I think hmm maybe
Find the area of the parallelogram
Answer:
18 x 16 = 288
Step-by-step explanation:
Formula of a parallelogram:
BH
(B x height) Your base times your height.
mind helping a girl out? pls and thank you lol
Answer:
First box: 2
Second box: 54
Step-by-step explanation:
The ratio is 1:6.
In other words, the second column is the first column times 6.
2 x 6 = 12
3 x 6 = 12
5 x 6 = 30
9 x 6 = 54
Therefore, the first box would be 2.
The second box would be 54.
Step-by-step explanation:
ginger ale 2because everything is multiplied by 6
so 9 *6