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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1) say you are given the graph of the line y =- x write the equation of the line that is parallel to the given line and goes through the point (-8,2)
2) say you are given the graph of the line y =- x write the equation of the line that is parallel to the given line and goes through the point (8,2)
I'm pretty sure the answer to y=−x. Write equation for (8,2) is y=x-6. The opposite of the x is -8, hence, (-8,2) is y=-x-6 is the answer
1. The equation of the line which is parallel and goes through the point (-8, 2) is,
y = x + 10
2. The equation of the line which is parallel and goes through the point (8, 2) is,
⇒ y = x - 6
What is Equation of line?
The equation of the line in slope-intercept form is expressed as:
y - y₁ = m(x - x₁)
where: m is the slope.
and (x₁, y₁) is the point on the line.
1. Given that;
Equation of the line as y = -x
Get the slope of the line,
y = -x
m = -1
Since, The required line is parallel to this line,
So, the required slope will be -1
Now, Get the required equation as,
y - y₁ = m(x - x₁)
y - 2 = 1 ( x - (-8) )
y - 2 = x + 8
y = x + 8 + 2
y = x + 10
Hence, The equation of the line which is parallel and goes through the point (-8, 2) is,
⇒ y = x + 10
2. Given that;
Equation of the line as y = -x
Point as (8, 2)
Get the slope of the line,
y = -x
m = -1
Since, The required line is parallel to this line,
So, the required slope will be -1
Now, Get the required equation as,
y - y₁ = m(x - x₁)
y - 2 = 1 ( x - 8 )
y - 2 = x - 8
y = x - 8 + 2
y = x - 6
Hence, The equation of the line which is parallel and goes through the point (8, 2) is,
⇒ y = x - 6
Thus,
1. The equation of the line which is parallel and goes through the point (-8, 2) is,
y = x + 10
2. The equation of the line which is parallel and goes through the point (8, 2) is,
⇒ y = x - 6
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7/1 − 3 ( 7/3n − 7/2 )
Answer:
[tex]\frac{35}{2}[/tex] - [tex]7n[/tex]
Step-by-step explanation:
7/1 − 3( 7/3n − 7/2 )
Anything divided by one gives itself.
7 - 3 ( [tex]\frac{7}{3}n - \frac{7}{2}[/tex])
Use the distributive property to multiply −3 by [tex]\frac{7}{3}n - \frac{7}{2}[/tex])
7 - 3 × ([tex]\frac{7}{3}[/tex][tex]n[/tex] - 3 (-[tex]\frac{7}{2}[/tex])
Multiply −3 times [tex]\frac{7}{3}[/tex]
7 - 7n - 3 (-[tex]\frac{7}{2}[/tex])
Express -3 (-[tex]\frac{7}{2}[/tex]) as a single fraction.
7 - 7n + [tex]\frac{-3(-7)}{2}[/tex]
Multiply −3 and −7 to get 21.
7 - 7n + [tex]\frac{21}{2}[/tex]
Convert 7 to fraction [tex]\frac{14}{2}[/tex]
[tex]\frac{14}{2}[/tex] - 7n + [tex]\frac{21}{2}[/tex]
Since [tex]\frac{14}{2}[/tex] and [tex]\frac{21}{2}[/tex] have the same denominator, add them by adding their numerators.
[tex]\frac{14 + 21}{2} - 7n[/tex]
Add 14 and 21 to get 35.
[tex]\frac{35}{2} - 7n[/tex]
40 points and brainlyest to who ever answers this for me- please someone help me
Answer:
9) A
10) B
11) A
12) D
13) C
14) A
15) C
16) D
17) E (not sure, can't see full choice)
18) B
19) C
Explanation:
Hope this is what you're looking for friend :)
G(x)=4x^2+9x ; find g(3x)
Answer:
12xto the 3 + 27x squared
Convert -18° to radians
Answer:
−
π
10
radians
Step-by-step explanation:
To convert degrees to radians you multiply by π180° π 180 ° since a full circle is 360° or 2π radians.
Solve equations with variables on each side
3w+6=4w
a+18=7a
8c=5c+21
Answer:
a) w=6
b) a=3
c) c=7
Step-by-step explanation:
[tex]3w+6=4w[/tex]
[tex]\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}[/tex]
[tex]3w+6-6=4w-6[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]3w=4w-6[/tex]
[tex]\mathrm{Subtract\:}4w\mathrm{\:from\:both\:sides}[/tex]
[tex]3w-4w=4w-6-4w[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-w=-6[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]
[tex]\frac{-w}{-1}=\frac{-6}{-1}[/tex]
[tex]w=6[/tex]
___________________________________________
[tex]a+18=7a[/tex]
[tex]\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}[/tex]
[tex]a+18-18=7a-18[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]a=7a-18[/tex]
[tex]\mathrm{Subtract\:}7a\mathrm{\:from\:both\:sides}[/tex]
[tex]a-7a=7a-18-7a[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-6a=-18[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-6[/tex]
[tex]\frac{-6a}{-6}=\frac{-18}{-6}[/tex]
[tex]a=3[/tex]
Find the sum.
8 + (-5)
Answer: 3
Step-by-step explanation: 8 + (-5) is the same as saying 8 - 5 and 8-5 = 3
8 + (-5)
A negative and a positive make a negative therefore 8 + (-5) changes to
8 - 5
8 - 5 = 3
Answer: 3
Write the equation of each line in slope-int. Form
y=mx + b
3. Slope = -2 and y-int. = -6
I
Answer:
y=-2x-6
Step-by-step explanation:
You put the slope before the x and the y intercept goes at the end.
Jon painted 4/5 of his house on Saturday on Sunday he paints 2/3 of what was left how much still needs to be painted
Answer: Jon has 1/5 left to paint
A house costs $150,000. If a loan is taken out for 15 years and the interest paid is $101,250, what is the interest rate on the loan?
A.4.5%
B.5.25%
C.5.75%
D.6.5%
Answer:
A. 4.5%
Step-by-step explanation:
what is the slope of all lines parallel to the line 4x-5y+-1?
a -5/4
b 5/4
c-1/5
d4/5
Given equation of the line ,
[tex]\implies 4x - 5y +(-1) = 0 [/tex]
Simplify ,
[tex]\implies 4x - 5y - 1 = 0 [/tex]
Transpose terms to RHS ,
[tex]\implies 5y = 4x - 1 [/tex]
Divide both sides by 5 ,
[tex]\implies \boxed{ y =\dfrac{4}{5}x -\dfrac{1}{5}}[/tex]
Now we know the slope intercept form of the line as [tex] y = mx + c [/tex] we have ,
[tex] m =\dfrac{4}{5}[/tex]As we know that the slope of all parallel lines are same . Henceforth ,
[tex] m_{|| \ lines } =\dfrac{4}{5}[/tex]If two angles add up to 180 how many angles are there?
Answer:
Step-by-step explanation:
According to Supplementary Angles rules: two angles add up to 180
11
W20
A ice cream cone cost $3 plus an additional $0.50 per scoop. James pald a total of $4.50, which equation below
models this situation.
4.50 + 0.50x = 3
0.50x + 3 = 4.50
0.50x = 7.50
3x + 0.50 = 4.50
Answer:
B: 0.50x + 3 = 4.50
Step-by-step explanation:
James needed an additional 3 scoops so the x would have to be on $0.50. the $3 is what the cone cost so it has to be with the scoop price. $4.50 is the total price of the ice cream so that would be on the other side of the equal sign, resulting in 0.50x + 3 = 4.50
20 - 4 TIMES 4 DIVIDE 2 + 3
[tex]20 - 4 \times 4 \div 2 + 3[/tex]
Using BODMAS formula, we see that we have first divide, then multiply, then add and finally subtractSo[tex]20 - 4 \times 4 \div 2 + 3 \\ = 20 - 4 \times 2 + 3 \\ = 20 - 8 + 3 \\ = 23 - 8 \\ = 15[/tex]Answer:15
Hope it helps..ray4918 here to help
Answer:
14
Step-by-step explanation:
20-4×4÷2+2=14
you change the words into symbols
1. Which two properties are needed to solve the equation 8.5d + 7.5 = 100 + 3?
Distributive property and division property of equality
Subtraction property of equality and division property of equality
Distributive property and collecting like terms property
Addition property of equality and division property of equality
Answer:
B. Subtraction property of equality and division property of equalityStep-by-step explanation:
Given equation:
8.5d + 7.5 = 100 + 3Step 1, subtract 7.5 from both sides:
8.5d = 103 - 7.5Step 2, divide both sides by 8.5:
d = 95.5/8.5Correct answer choice is B
PLEASE HELP THANK YOU
Answer:
a. [tex]4^2[/tex]
b. 16
Step-by-step explanation:
The area of a square is equal to the side length squared. Normally, the area of a rectangle is length times width but since all sides are equal in a square it is just the side times the side. This can be simplified to side length squared.
Since the side length is 4 the exponent form of the area is simply 4 squared or [tex]4^2[/tex].
Then, compute this by multiplying 4*4. This equals 16 cms square.
Which pair of numbers have a greatest common factor of 5?
Select each correct answer.
15 and 25
30 and 15
20 and 30
10 and 5
Answer:
15 and 25
10 and 5
Step-by-step explanation:
if it takes 40 gallons of gas to drive 750 miles, then how many gallons are needed to drive 300 miles?
The sum of three times a number and seven is equal to the difference of the number and fifteen. Find the number. Round your answer to the nearest integer, if necessary.
Answer:
2
Step-by-step explanation:
Let the number be x
3x + 7=15-x
4x = 8
x=2
Select from the drop-down menus to correctly complete the statements about the expression a8+6b .
The expression a8+6b is a
A. Sum
B. Difference
. The term a8 is an added, but it is also a
A. quotient
B. Difference
. The term 6b is an added, but it is also a
A. Sum
B. Product
Expressions are used to show relationships between variables and constants
The expression [tex]\mathbf{\frac a8 + 6b}[/tex] is a sumThe term [tex]\mathbf{\frac a8}[/tex] is a quotientThe term 6b is a product.The expression is given as:
[tex]\mathbf{\frac a8 + 6b}[/tex]
In the above expression, a/8 and 6b are added.
So, the expression [tex]\mathbf{\frac a8 + 6b}[/tex] is a sum
In [tex]\mathbf{\frac a8 }[/tex], a is divided by 8.
So, the term [tex]\mathbf{\frac a8}[/tex] is a quotient
Lastly, in 6b; 6 is multiplied by b.
So, the term 6b is a product.
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Find two consecutive numbers whose squares differ by 11.
Please help! I will give you brainliest
Answer:
6 and 5
Step-by-step explanation:
6*6 -5*5
=36-25
=11
What is the function?
A. Ax) = 2(2.54)
B. f(x) = 5(24)
C. 8(x) = 2.5(24)
O D. f(x) = 2.5(54)
Answer:
c
Step-by-step explanation:
Write an inequality represented by the graph
Answer:
x+y>=3
Step-by-step explanation:
values of x and y are all greater than or equal to 3
Volume Of This Prism
Answer:
look at the photo i have sent
Robert started working at a local burger restaurant and earns $9.00 per hour. Which graph shows the relationship between his earnings and the number of hours he worked?
Answer:
A.
Explanation:
Answer:
A
Step-by-step explanation:
Graph A would be the graph the shows the relationship between his earnings and the number of hours he worked, because after 1 hour of work he would have made 9$ (1,9), after 2 hours he would have made 18$ (2,18), and after 3 hours of work he would have made 27$ (3,27). All these are placed on the graph. Hope this helps!
√45 * √96
Please show your work on how you got the answer!
Answer:
45=6.7, 96=9.79
Step-by-step explanation:
because (6.7)6.7 =45 that’s how square root works… squared means two times a number
y= tan(X-π/5) tìm tập xác định của hs
Answer:
?
Step-by-step explanation:
Given f(x) = x^2+9x+18 and g(x)=x+6
Find f(x)-g(x)
Answer:
x = -6, -2
Step-by-step explanation:
x^2 + 9x + 18 - (x + 6)
x^2 + 9x + 18 -x - 6
x^2 + 8x + 12
(x+6)(x+2)
x = -6, -2
A recipe calls for 2/3 a cup of butter. Georgia wants to cut the recipe in half. How much butter would she need?
Answer: 1/3
Step-by-step explanation: 2/3 - 1/3 = 1/3
somebody please help I hate geometry
Answer:
70
-----
20
Step-by-step explanation:
mark me as brilliant
