Answer: 14 gallons of the 64% acid solution is needed
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Work Shown:
x = amount, in gallons, of the 64% acid solution
0.64x = amount of pure acid from the stuff we're adding in
0.38*12 = 4.56 = amount of pure acid from 38% solution
In total, we have 0.64x+4.56 gallons of pure acid out of x+12 gallons total
Dividing the two amounts will give us the decimal form of the percentage. Set this equal to 0.52 and solve for x
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(0.64x+4.56)/(x+12) = 0.52
0.64x+4.56 = 0.52(x+12)
0.64x+4.56 = 0.52x+6.24
0.64x-0.52x = 6.24-4.56
0.12x = 1.68
x = 1.68/0.12
x = 14 gallons is the amount of the 64% acid solution we need to add in
the perimeter of a rectangle is 44 cm.if its length is increased by 4 cm and breadth is increased by 2 cm its area is increased by 72 sqcm. find the dimensions of the rectangle
Answer:
11 cm, 11 cm
Step-by-step explanation:
Let the length and width of the rectangle be x cm and y cm respectively.
Therefore,
Perimeter of rectangle = 44 cm
2(x + y) = 44
x + y = 44/2
x + y = 22...... (1)
Area of rectangle = xy
When length is increased by 4 cm and breadth is increased by 2 cm.
New length = (x + 4) cm
New width = (y + 2) cm
New area of rectangle = original area + 72.. (given)
Therefore,
(x + 4) (y + 2) = xy + 72
xy + 2x + 4y + 8 = xy + 72
2x + 4y = 72 - 8
2x + 4y = 66
2(x + 2y) = 66
x + 2y = 66/2
x + 2y = 33.... (2)
Subtracting equation (1) from equation (2)
x + 2y - (x + y) = 33 - 22
x + 2y - x - y = 11
y = 11
Substituting y = 11 in equation (1)
x + 11 = 22
x = 22 - 11
x = 11
Thus, the dimensions of the rectangle are 11 cm and 11 cm.
1Ox+6-8x=9x +12-8x-2
Answer:
X=4
Step-by-step explanation:
Frank buys p pounds of oranges for $2.29 per
pound and the same number of pounds of apples
for $1.69 per pound.
a. What do the coefficients represent?
ہم
b. What do the terms represent?
First let's translate these words algebraically and form an equation:
Let oranges be x and apples be y, [tex]2.29x+1.69y[/tex]
a. coefficients are the constants multiplied by the variable, they represent the price of both oranges and apples.
b. I am assuming that the terms here represent how much he paid for the pounds of oranges and apples he bought in total.
Zanna’s cousin was born in 1980. If Zanna was born in 1997, how much older, in years, is her cousin?
Answer:
zanna's cousin is 17 years older than zanna
Step-by-step explanation:
Answer:
17 years older
Step-by-step explanation:
1997- 1980 = 17
dale drove 223 miles using 10 gallons of gas. at this rate, how many miles would he drive using 9 gallons of gas?
Answer:
200,7 miles
Step-by-step explanation:
Proportions:
223 miles ⇔ 10 gallons
D miles ⇔ 9 gallons
D = 223*9/10
D = 200.7 miles
Answer:
The answer is
200.7 milesStep-by-step explanation:
In order to find the number of miles he drove we use ratio and proportion
From the question
If he used 10 gallons while driving 223 miles
The 9 gallons will be
[tex] \frac{223 \times 9}{10} [/tex]= 200.7 milesHope this helps you
Express 160 kilometers per hour in miles per hour.
Answer:
It would be exactly 99.4194 mph
Step-by-step explanation:
For an for an approximate result, divide the kilometer speed value by 1.609
Answer:
100miles/hour
Step-by-step explanation:
1mile = 1.6km
What's 1 + 2 x 3 ......................
Answer: 7
Step-by-step explanation:
Use PEMDAS method to solve.
ParenthesesExponentsMultiplication and Division Addition and subtraction.This means to solve all the numbers in order.
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1 + 2 × 3
=1 + 6 ⇔ First do multiplication
=7 ⇔ Then do division
71, X
The symbol U represents the union of two sets. What do you think the
notation represents?
3. What is 3(x-7) equivalent to?
Answer:
3x-21
Step-by-step explanation:
3(x-7) you must do distributive property
3x - 21
7 times the difference of a number and 1
answer: 7(x-1)
hope this helps you
Answer: The answer is 7(x - 1).
Step-by-step explanation:
So far, we know that the givens are:
7 times the difference of a number and 1
We just need to understand what it says:
7 times ( difference of a number and 1)
So "the number" can be any number, but you have to replace it with a variable such as n, s, x, etc. And by the way, difference is from subtraction, the result of the subtraction of 1 from the unknown number. Using this, we get:
7(x - 1)
Hence the answer!
A planter in the shape of a cube has a volume of l000 in to the 3rd power. Is the area of the base of the cube greater than or less 1 square foot? Explain
Farah rolls a fair dice and flips a fair coin. What is the probability of obtaining a 5 and a head? Give your answer in its simplest form.
Answer:
1/12
Step-by-step explanation:
1 in 6 probablity on the dice and 1/2 probablity on the coin. multiply 6 and 2 = 12
1/12 probablity
i think this is the right answer but im not 100 percent sure
If Mary and Tom put their money together they have £36. If Mary's money were halved and Tom's money doubled they would have £42. How much does each of them have? If you're answering, could you please show working out, thanks so much.
Answer:
Mary has £20 and Tom has £16
Step-by-step explanation:
Represent their current respective money amounts by m and t.
Then m + t = £36, but also m/2 + 2t = £42.
Multiplying the second equation by 2 removes the fraction:
m + 4t = £84
and multiplying this by -1 results in
-m - 4t = -£84, which can now be added to the first equation m + t = £36:
-m - 4t = -£84
+m + t = £36
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-3t = -£48
We have successfully eliminated m. To solve this last result for t, divide both sides by -3, obtaining t = £16
Since m + t = £36 and t = £16, m must be £20.
Mary has £20 and Tom has £16
What is the solution to the inequality 4x>-12?
O x>-3
Ox<-3
O x>-48
O x<-48
Answer:
A. x>-3
Step-by-step explanation:
You just have to divide -12 by 4 and the sign does not flip because 4 is not negative
-3(3+x)+4(x-6)=-4 Please help me with this question
Answer:
[tex] \boxed{ \bold{ \huge{ \sf{x = 29}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 3(3 + x) + 4(x - 6) = - 4 }[/tex]
Distribute -3 through the parentheses
Similarly, Distribute 4 through the parentheses
⇒[tex] \sf{ - 9 - 3x + 4x - 24 = - 4}[/tex]
Collect like terms
⇒[tex] \sf{x - 9 - 24 = - 4}[/tex]
Calculate
⇒[tex] \sf{x - 33 = - 4}[/tex]
Move 33 to right hand side and change it's sign
⇒[tex] \sf{x = - 4 + 33}[/tex]
Calculate
⇒[tex] \sf{x = 29}[/tex]
Hope I helped!
Best regards!!
Please help I suck at these :(
negative twenty-four over three equals negative eight.
The price of a share of stock for Nike at the beginning of the week was $24.75. Over the next five days, the share of stock gained $2.50 on Monday, lost $3.25 on Tuesday, lost $0.75 on Wednesday, gained $1.25 on Thursday, and gained $4.75 on Friday. What was the price of the share of stock at the end of Friday? A. $37.25 B. $29.25 C. $12.25 D. $22.50 What is the Answer?
Answer: B. $29.25
Step-by-step explanation:
In integers loss is represented by negative integers whereas profit is represented by positive numbers.Given, Beginning price = $24.75
Over the next 5 days,
On Monday, gain of $2.50 represented by + $2.50.
On Tuesday, loss of $3.25 represented by - $3.25 .
On Wednesday, loss of $0.75 represented by - $0.75.
On Thursday, gain of $1.25 represented by + $1.25.
On Friday, gain of $4.75 represented by + $4.75.
Price of the share of stock at the end of Friday = (Beginning price)+ ( + $2.50 - $3.25- $0.75+ $1.25+ $4.75)
= $( 24.75 + 2.50 -3.25 -0.75 +1.25 +4.75)
= $29.25
Hence, the correct option is B. $29.25.
Drag the numbers to order them from least to greatest.
Answer:
[tex]\sqrt{7}[/tex], 2.8, [tex]\pi[/tex], [tex]\sqrt{17}[/tex], 4.6
Step-by-step explanation:
To order the numbers from least to greatest turn all the numbers into decimal form.
[tex]\sqrt{7}[/tex]: 2.65
[tex]\sqrt{17}[/tex]: 4.12
[tex]\pi[/tex]: 3.14
4.6
2.8
Now order them from least to greatest (make sure you put the numbers back into their original form)
[tex]\sqrt{7}[/tex], 2.8, [tex]\pi[/tex], [tex]\sqrt{17}[/tex], 4.6
The numbers in the form of least to greatest will be [tex]\sqrt{7}[/tex], [tex]2\overline{.8}[/tex], π, [tex]\sqrt{17}[/tex], 4.6.
What are rational and irrational numbers ?Rational numbers are those numbers which have terminating,Repeating or recurring digits after the decimal place.
Irrational numbers have non-repeating, non-recurring non-terminating digits after the decimal place.
According to the given question we have to order the number from least to greatest.
Given number are 4.6, [tex]2\overline{.8}[/tex], π, [tex]\sqrt{17}[/tex], [tex]\sqrt{7}[/tex].
We know the value of π is 3.14 approx and square root of 17 lies between square root of 16 and 25 which are 4 and 5 but more close to 4 and square root of 7 lies between square root of 4 and 9 which are 2 and 3.
∴ The given numbers in increasing order will be
[tex]\sqrt{7}[/tex], [tex]2\overline{.8}[/tex], π, [tex]\sqrt{17}[/tex], 4.6.
learn more about these type of problems here :
https://brainly.com/question/20681445
#SPJ2
factor out the GCF: 12+24x
Step-by-step explanation:
I hope this is the right answerAnswer:
Step-by-step explanation:
Factorize 12 and 24
12 = 2 * 2 * 3
24 = 2 * 2 * 2 * 3
GCF = 2 * 2 * 3 = 12
12 + 24x = 12*1 + 12 * 2 *x
= 12*(1 + 2x)
in 1993 wiley post flew around the world in 7 days, 18 hours. wileys trip would be best described as flying around the -------- of the world?
how to find angles and how to find the number
A drink is made from 1.5 litres of orange juice and 7.5 litres of lemonade. What fraction of the drink is orange juice? Give your answer in its simplest form.
Answer:
Hey there!
Total juice: 1.5+7.5=9
Orange juice: 1.5
1.5/9=1/6
Let me know if this helps :)
You and your friend are debating between two different places to buy pizza for dinner. Place A charges $11 for a cheese pizza and $1.50 per topping. Place B charges $12.50 for a cheese pizza and $1.00 per topping. How many toppings would you have to buy for the price to be the same from both pizza places? You would have to buy how many toppings.
Solve the following equation for n.
1) 5(-5 + n) =-3 – 6n
A) 2
B) {-9)
C) {7} D) {16
Answer:
A
Step-by-step explanation:
5 (-5 + n) = -3 - 6n
-25 + 5n = -3 - 6n
-25 + 11n = -3
11n = 22
n = 2
3х – 13 = 23
Please give an explanation to the answer
Answer:
x = 12
Step-by-step explanation:
3x - 13 = 23
Bring non-variable numbers to other side:
3x = 36
Divide both sides by 3:
x = 12
Answer:
x = 12
Step-by-step explanation:
This equation is very easy to solve.
3x - 13 = 23 Add 13 to both sides of the equation.
3x = 36 Divide by 3 on both sides of the equation.
x = 12
Then, check your answer by substituting the solved value.
3(12) - 13 = 23
36 - 13 = 23
23 = 23
Therefore, x = 12 is the solution to the equation.
can someone help me write a conclusion paragraph? i wrote an essay on why masks and social distancing were effective and I can't think of what to write for my conclusion. please help me!
Answer:
Step-by-step explanation:
A conclusion is 2-3 closing sentences to wrap up your essay. You should start with a transition word, like "To conclude," and then state your controlling idea. Or, the reason why you are writing this essay. Then, you need to end with a closing sentence, which is pretty hard to do. This can be a question or a statement. If you pick a question, then you need to say something like this:
Why do you think masks and social distancing are effective during these hard times?
If you pick a statement, then it needs to end something like this:
I wonder....
Now, I am going to let you figure this out, because people should learn. Good luck and I hope this helps!
y’all i’m stuck on this problem i don’t know what equations belong to the graph
Answer:
5x-2y=7
Step-by-step explanation:
Here's a tip: The subtraction symbol in the equation indicates that the line on the graph is slanted to the right; /
And an addition symbol in an equation like this indicates that the line on the graph is slanted to the left; \
This tip will make better sense with simple equations like the ones in the picture or y = mx+b equations.
Answer:
5x-2y=7
Step-by-step explanation:
5x-2y=7
when x=0,then -2y=7, y=-7/2
when y=0, 5x=7, x=7/5
inverse of g(x)=2x -8
Answer:
The inverse is 1/2x +4
Step-by-step explanation:
g(x)=2x -8
y = 2x-8
Exchange x and y
x = 2y-8
Solve for y
x+8 = 2y-8+8
x+8 = 2y
Divide by 2
1/2 x + 8/2 = 2y/2
1/2x +4 = y
The inverse is 1/2x +4
Answer:
y = 1/2x + 4
Step-by-step explanation:
The first equation is y = 2x - 8
switch out y for x
x = 2y - 8
add 8 to both sides
2y = x + 8
divide by 2 on each side
y = 1/2x + 4
1. Find the Distance. Round to the nearest tenths.
(-4, 6) and (3, -7)
Answer:
13
Step-by-step explanation:
[tex](4, 6) = (x _1 , y_1) \\ (3, -7) = (x_2 \: y_2) \\ \\ d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} } [/tex]
Plug in the given values
[tex]d = \sqrt{(3 - 4)^{2} + ( - 7 - 6)^{2} } \\ d = \sqrt{( - 1)^{2} + {( - 13)}^{2} } \\ d = \sqrt{1 + 169} \\ d = \sqrt{170} = 13.0[/tex]
Simplify by combining like terms. Type the terms in alphabetical order. 6x-2+9y-3y-3x=
Answer:
3x + 6y - 2
Step-by-step explanation:
6x - 2 + 9y - 3y - 3x = 6x - 3x + 9y - 3y - 2 = 3x + 6y - 2