Let, amount of 14% solution required is x ounces.
So, amount of 8% solution will be ( 28 - x ) ounces.
Now, mathematical equation is :
[tex]\dfrac{14x}{100}+\dfrac{7(28-x)}{100}= \dfrac{8\times 28}{100}\\\\14x + 196 - 7x = 224\\\\7x = 28\\\\x = 4\ ounces[/tex]
Therefore, amount of 14% solution and 8% solution required is 4 ounces and 24 ounces respectively.
Hence, this is the required solution.
Which system of equations is represented by this graph?
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[tex]y = 2x + 3[/tex]
[tex]y = - \frac{1}{2} x - 3 \\ [/tex]
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A store owner wants to advertise his store in magazines that most of his shoppers are likely to read. He takes a survey to determine the ratio of females to males that shop at his store each day. The chart represents the number of females and males that shop at his store on average each day. Which statement identifies the ratio of females to males that shop at his store and who he should focu
Answer:
Step-by-step explanation:
Nshsdhdhdhdjsdnddndnd
Answer:
Step-by-step explanation:
5:2
Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!
Answer:
15
Step-by-step explanation:
its the same as the other angle on there
Answer:
15
Step-by-step explanation:
They are alternate exterior angles, meaning they are the same!!
(ANSWER PLZ! BRAINLIEST) When you graph a proportional relationship explain what happens.
Answer:
The best way to show and explain direct proportional relationships is by graphing two sets of related quantities. If the relation is proportional, the graph will form a straight line that passes through the origin.
Step-by-step explanation:
Answer:
when you graph and proportional the graph will form a straight line that passes through the origin
Step-by-step explanation:
Find the slope of the line that goes through the points (9,-13) and (7,3).
hi
You have two points A ( X;Y) and B ( X ; Y)
slope is : ( Yb -Ya) / (Xb -Xa )
(3 - (-13) ) / ( 7 - 9) = (3 +13) / -2 = 16/-2 = - 16/2 = -8
slope is -8
Answer:
-8
Step-by-step explanation:
The slope formula is as follows:
m = y2 - y1 / x2 - x2
You would first plug in the points into the formula, and this is what you would get:
m = 3 - (-13) / 7 - 9
From there, because of additive inverse, the negative signs would become + signs.
m = 3 + 13 / 7 - 9
You would now add/subtract.
m = 16 / -2
And lastly, you would simplify.
m = 8/-1
8/-1 is the same thing as a slope of -8.
A rectangle has a perimeter of 100 inches, and
one side has length x. Express the area of the
rectangle as a function of x.
Use the function in part a to find the dimensions of the rectangle with permitter 100 inches and the largest possible area
Answer:
a. A = 50x - x² b. length = 25 inches and width = 25 inches and the maximum area is 625 in²
Step-by-step explanation:
a. The perimeter of a rectangle P = 2(L + W) where L = length and W = width. Now, given that P = 100 inches and W = x, substituting these into the equation, we have
P = 2(L + W)
100 = 2(L + x)
dividing both sides by 2, we have
100/2 = L + x
50 = L + x
making L subject of the formula, we have
L = 50 - x
Now, the are of a rectangle A = LW. Substituting the values of L and W, we have
A = LW
A = (50 - x)x
A = 50x - x²
b. To find the largest possible area of rectangle with perimeter 100 inches, we differentiate A and equate it to zero to find the value of x that maximizes A.
So, dA/dx = d(50x - x²)/dx
dA/dx = d50x/dx - dx²/dx
dA/dx = 50 - 2x
dA/dx = 0 ⇒ 50 - 2x = 0
50 = 2x
dividing both sides by 2, we have
x = 50/2
x = 25
To find it this gives maximum value for A, we differentiate A twice.
d²A/dx² = d(50 - 2x)/dx
d²A/dx² = d50/dx - d2x/dx
d²A/dx² = -2
Since d²A/dx² = -2 < 0, so x = 25 gives maximum value for the area, A.
Since W = x = 25 in and L = 50 - x. So, L = 50 - 25 = 25 in
So, the maximum area A = LW = Lx = 25 in × 25 in = 625 in²
The dimension with perimeter 100 inches that give maximum area are length = 25 inches and width = 25 inches and the maximum area is 625 in²
Solve 6x^2-2x+1=0 using any method.
Answer:
[tex]x=\frac{1-\sqrt{-5} }{6}\\x=\frac{1+\sqrt{-5} }{6}[/tex]
There are no real roots.
Step-by-step explanation:
[tex]6x^2-2x+1=0\\x=\frac{2-\sqrt{2^2-4*6} }{2*6} \\x=\frac{2-\sqrt{-20} }{12}\\x=\frac{1-\sqrt{-5} }{6}\\x=\frac{1+\sqrt{-5} }{6}[/tex]
Xavier can paint the average house in 4 hours, while Mohamad can do it in 12 hours. Find the number of hours, $$, that it would take to paint a house if they both worked together.
Answer:
3 hours
Step-by-step explanation:
Xavier can paint the average house in 4 hours
This means that in 1 hour, Xavier paints 1/4 of the house
Mohamad can do it in 12 hours
That means in 1 hour, Mohamad paints 1/12 of the house
Hence,
Together the amount of the house they can paint in 1 hour is
1/4 + 1/12
The Least common denominator is 12
(3 × 1 + 1 × 1)/1#
= 3 + 1/12
= 4/12
= 1/3
Together they can paint 1/3 of the house
The number of hours, that it would take to paint a house if they both worked together is
= 1/3 = 1
Cross Multiply
= 3 × 1
= 3 hours
What is the definition of a number trick? (Math)
Answer:
How does the number trick work?
Trick 1: Think of a number
Pick a whole number between 1 and 10.
Add 2.
Multiply by 2.
Subtract 2.
Divide by 2.
Subtract your original number.
Everyone's final answer will be 1.
Step-by-step explanation:
The Number 5 Trick. Ask somebody to think of a number and keep it secret. Then ask that person to double the secret number and then multiply by 5. Ask for the total. Whatever the total is, knock off the last digit and you will have the secret number the person mentally chose at the start.
LEMMEBE HONEST
I HAVE NO IDEAAAA
“Think-of-a-number” tricks
These tricks come in two types: Think of a number (but don't tell me), do some arithmetic with that number, and I can predict your result. Think of a number, do some arithmetic, tell me your result, and I can instantly say what number you started with.
Hope this helps!
Sending U good luck!
PLEASE DO NOT TELL ME THE ANSWER! Please just tell me how I can find the answer. Thank you!
Answer:
You have to find the equivalent fraction of 7/2.
Step-by-step explanation:
Steps to find an equivalent fraction:
You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction. Only divide when the top and bottom stay as whole numbers.
Answer:
[tex]\frac{70}{20}[/tex]
Step-by-step explanation:
Answer this question in your head: Which of the options has a numerator and denominator that are proportional to the given fraction?Let's look at the choices (I will explain in the steps below)First option: The numerator is increased by ×5, but the denominator is increased by ×4, so it is not the answer.Second option: The numerator is increased by ×10 and the denominator is increased by ×10, so it is the answer.Therefore, 70/20 is the answerI hope this helps!
How does your current (or future) employment affect your Social Security or Medicare benefits?
Answer:
Step-by-step explanation:
Receiving Social Security Income While Working. In the year you reach full retirement age, your benefits will be reduced by $1 for every $3 you earn above $48,600 for 2020 and $50,520 for 2021. 6 Starting with the month you attain full retirement age, your benefits will no longer be reduced.
solve :
2(3x + 6) = 18
Answer:
2(3x+6)=18
6x+12=18
6x+12-12+18-12
6x=6
6x/6=6/6
x=1
Step-by-step explanation:
Write an algebraic equation that models the following statement.
Twice the sum of 'x' and '4' is six less than the quotient of 'q' and '9'.
Sam wrote on the board counting numbers from 12 to 111:12, 13, 14, ..., 110, 111. How many digits did Sam write?
Answer: Sam wrote 99 digits
Step-by-step explanation: Take the highest number minus the lowest number and that his how many numbers are between 12 and 111.
Skyler is buying wings and quesadillas for a party. A package of wings costs $8.00. A package of quesadillas cost $10.00. He must spend no more than $160.00. Skyler's freezer will hold a maximum of 20 packages of wings and quesadillas. Write a system of linear inequalities to represent the situation.
Answer:
The system of inequalities are;
q + w ≤ 20
8w + 10q ≤ 160
Step-by-step explanation:
Let the number of wigs be w and the number of quesadillas be q
Since we have a maximum of 20 packages;
then;
q + w ≤ 20
Let’s now work with the prices
price of w wings is 8 * w =$8w
price of q quesadillas is 10 * q = 10q
The maximum amount to spend is $160
Thus, the addition will be;
8w + 10q ≤ 160
How do you figure this out? I am having a hard time. The variables x and y are related to proportionally. When x = 8, y = 20. Find y when x = 80.
When x = 80, y
Answer:
200
Step-by-step explanation:
(80×20)/8
y is equal to 200
can someone help me pls?
Answer: yes it has gone down 1/5th because the answer would be 27 and that is a lot lower than the other numbers.
Step-by-step explanation:
162 minus 135 = 27
Riding an elevator down 3 floors
Answer:
And, then what? rp?
Step-by-step explanation:
Answer: Elevators wer invented in 1880 by Elisha Otis's . They could carry cargo and people to higher floors. Now we see them everywhere, in places such as hospital, schools, malls, and even some houses.
What is the domain and the range for this graph
Answer:
Domain:(0,infinite)
Range:(5,infinite)
Step-by-step explanation:
Answer:
D = 0, 1, 2, 3, 4, 5
R = 20, 40, 80, 160
Write 178/48
as a percent.
Answer:
370.83%
Step-by-step explanation:
Divide them, and then multiply by a hundred.
Are You Ready for More?
AB is parallel to CD.
Determine the value of x.
Use the sketch tool if it helps you with your thinking.
А
B
degrees
50°
Submit
o
30°
С
D
1/4 kilometer in 1/3 hour?
Answer:
That means it will take you 1 and 1/3 hour to go a kilometer.
Please help me.......
Answer:
x=206
Step-by-step explanation:
Solve and Graph the System of Linear Equations
1) 3 X + 2 Y = 4
X + 2 Y = -4
Answer:
y=-4
x=-12
Step-by-step explanation:
Set up the system
Then you have to cancel out a variable
Then you solve for the remaining variable
Then plug in to find other variable
I'm sorry if that's confusing:/
Write the equation 2x - 3y= 6 in slope-intercept form.
y=2/3 x+3
y=2/3 x-2
Y=3/2 x+3
Mel can walk 1 mile in 18 minutes. If she stays at the same rate, how far can she walk in 45 minutes?
Answer:
2.5 miles
Step-by-step explanation:
45 ÷ 18 = 2.5 miles
PS: please mark as brainliest! I hope this answer helps!
Mel can walk 2.5 miles in 45 minutes. All you have to do is 45/18. Remember this for the future, it will help in high school.
The price of an item yesterday was $180. Today, the price rose to $279. Find the percentage increase.
HELPPP
PLEASSE
DONT SWIPE PAST:,(
I SAW THATTT
My b for accusing you:,)
Step-by-step explanation:
Percentage increase = (279 - 180)/180 x 100% = 55%
this is a topic on percentage. the above question requires a use of a kind of formula if you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I've already posted some notes on this topic and will be doing more on others and also I'll be providing tips on some topics as well!
Answer:
55% increase
Step-by-step explanation:
First I want to say I recommend using sites like Calculator soup, and finding the option "percent increase calculator", for problems like these instead of wasting any points that you could use later on, and Secondly (happy to help), oof and third:
1) subtract the final value minus the starting value
279 - 180= 99
2) Divide that amount by the absolute value of the starting value
99 divided by 180 equals .55
3) Multiply by 100 to get percent increase
changes to 55.00 (final answer 55%)
4) If the percentage is negative, it means there was a decrease and not an increase.
Percentage Increase Formula
the ratio the ratio of two numbers is 5:6 . find the sum of two numbers is 55. find the number
Answer:
25 and 30
Step-by-step explanation:
Given the ratio of 2 numbers is 5 : 6 = 5x : 6x ( x is a multiplier ), then
5x + 6x = 55, that is
11x = 55 ( divide both sides by 11 )
x = 5
Thus
5x = 5 × 5 = 25
6x = 6 × 5 = 30
Then the 2 numbers are 25 and 30
Logan weighed two buckets of sand for a geology project. The first bucket weighed 5.19 pounds. The other bucket weighed 9.01 pounds. How much do the two buckets of sand weigh all together?
Answer:
14.2
Step-by-step explanation:
you just have to add both of the numbers shown in the question
If a bus travels 200 miles in 5 hours what was the average speed of the bus in miles per hour
Answer:
ths answrs is 40 miles pwr hour becUsd 200/5=40
Answer:The average speed the bus was going is 40 mph
Step-by-step explanation: 200÷5=40
Can you mark me brainliest