18% of the milk mixture and how much of the cream mixture should he use.
How much of the milk mixture and how much of the cream mixture should he use?A dairyman wants to combine milk with 5 percent butterfat and cream with 75 percent butterfat to create a 56-liter combination. Butterfat should make up 53% of the final combination.
Let x represent the volume of MILK required for the combination, in liters.
Consequently, x/56 is the PROPORTION of milk in the mixture. [because the final mixture has 56 liters in total]
We require 56 - x liters of CREAM in the mixture because we have 56 liters overall in the mixture.
The PROPORTION of cream in the combination is therefore equal to (56 - x)/56.
Our goal is for the final mixture to have 75% butterfat.
Fill in the equation with each of these values to obtain:
50 = (x/60)(5) + ((60 - x)/60) (75)
Add 56 to both sides to get: 3000 = (5)(x) + (56 - x)(75)
The formula is:
Multiply both sides by 56 to get: 3000 = (5)(x) + (56 - x)(75)
Expand: 3000 = 5x + 4200 - 75x
Simplify: 3000 = 4200 - 70x
Subtract 4500 from both sides: -1300 = -70x
Solve: x = (-1300)/(-70) = (1300)/(70) = 130/7
If you don't want to divide 130 by 7, you can evaluate this quickly by first realizing that 30/7 = 18.
Consequently, 130/7 must be a little larger than 18.
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Evaluate the following algebraic expression, if (x = 5, y = 3)
x² +9y - 5
Answer: 47
Step-by-step explanation:
simply substitute the constants with 5 and 3.
(5)^2 + 9(3) - 5 = 47
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Isaac is making sandwiches for a group of friends. He needs 3 ounces of meat for each sandwich.
Part A: Isaac is not sure how many sandwiches he will be able to make. Write an expression with a variable that represents the amount of meat Isaac needs for his sandwiches. Identify what the variable represents.
Part B: If Isaac has 18 ounces of meat, how many sandwiches can he make? Create an equation and show all work to solve it.
Answer:
A)
O = 3S
While O is the number of ounces of meat
While S is the number of sandwiches
B)
S= O/3 = 18/3 = 6 Sandwiches
What is the value of the 8th term of the sequence 4, 8, 16, 32, ...?
128
2,048
512
1,024
Answer:
512
Step-by-step explanation:
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Answer:
E)
Step-by-step explanation:
Because its gonna be a negative number and while using letters you should not use negative numbers you should use positive numbers or decimals
:) good luck
ITS FOR A TESTT I NEED THE ANSWER
Answer:
I believe the answer is $1.52. hope this helps
Hellppp!! please help me find the answer
Answer:
A
Step-by-step explanation:
As
Option b- is false as the top speed is 18
Option c - is false as there lesser than 17 roadrunners
Option d- is false as everything is above 12
Option a- is true as 14 is like the average ...
I hope im right!
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Answer:
2 Triangles with the bilateral of the sun to the 2nd power of pie
Step-by-step explanation:
I took the test ;)
( GRADE 7 ALGEBRA). 5m + 6=_
when m=-3
Answer:
-9
Step-by-step explanation:
5m+6=
m=-3
substitute 3
5(-3)+6=-9
-15+6=-9
Answer:
-9Step-by-step explanation:
If m = -3, then multiply -3 x 5 = -15, now add 6 to that which will give you -9.
If f(x) = x + 1, and g(x) = 2x,
then
gf(x)) = ?
Answer:
Step-by-step explanation:
If f(x)=x+1 and g(x)=2x then
g(f(x))=2(x+1)
g(f(x))=2x+2
Mark is having his driveway paved. A diagram of his driveway is shown below. If the company he is using charges $3.50 per square foot, how much will he pay
Answer:
He will have to pay $1412.25
Step-by-step explanation:
When you break down the area of the driveway, then add the areas of the different shapes it comes to have an area of 403.5. Multiply the area by the cost per square foot
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The school band has a goal of raising $800 for some new uniforms. If they
have raised $512 so far, what percent of their goal have they raised?
help please (;´༎ຶٹ༎ຶ`)
Answer:
64%
Step-by-step explanation:
512/800=.64
Answer: The exact answer is 62.5 but rounded its 63.
i dont know how to do this I tried so many times and got it wrong please help if you can
Answer:
14
Step-by-step explanation:
Answer:
I don't see the paper so how can i help u
Step-by-step explanation:
Find The Area of the parallelogram...Explain.
Answer:
8x17=136, so the area is 136 inches squared.
Step-by-step explanation:
20 = x/4 - 13 help plz thank you
Answer: x = 132 daw
Step-by-step explanation: believe me
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what is the area of this figure?
Answer:
400 in²
Step-by-step explanation:
Consider the figure as a triangle on top of a parallelogram. The tic marks on the sides mean that the lengths with the same tic marks are equal.
The area of the parallelogram is 20×16=320
The area of the triangle is (20×8)/2= 80
Add the two areas: 320 + 80 = 400
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Step-by-step explanation:
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Which of the following correctly shows the Pythagorean theorem?
Answer:
a²+b²=c²
Step-by-step explanation:
that is the formula for calculating pythagoras
In triangle Xyz the measure of angle YXZ is 14.5°, and the measure of angle XYZ is 75°. What is the measure of angle XZY in degrees
Answer:
90.5 degrees
Step-by-step explanation:
The sum of the angle in triangle XYZ is 180 degrees, hence;
m<XYZ + m<YXZ + <XZY = 180
Substitute the given angles
75 + 14.5 + <XZY = 180
89.5+m<XZY = 180
m<XZY = 180 - 89.5
m<XZY = 90.5 degrees
Hence the measure of angle XZY in degrees is 90.5 degrees
A line with a slope of 2 passes through the point (2,4). what is its equation in slope-intercept form?
Answer:
y = 2x + 0
Step-by-step explanation:
Sin (61) = 24/ x
find x plz show work
Answer:
x=27.44
Step-by-step explanation:
sin(61)=24/x
x*sin(61)=24
x=24/sin(61)
x=27.44
Rewrite the formula to find the width of the base of the prism if the volume, length of the base, and height of the prism are already known.
Answer:
w = V/lh
Step-by-step explanation:
The volume of a rectangular prism is calculated using the formula V = lwh, where V is the volume of the prism, l and w are the length and width of the base of the prism, respectively, and h is the height of the prism.
Rewrite the formula to find the width of the base of the prism if the volume, length of the base, and height of the prism are already known.
volume of a rectangular prism,V = lwh
Where,
l = length of the base of the prism
w = width of the base of the prism
h = height of the prism
Rewrite the formula to find w
V = lwh
w = V/lh
That is,
width of the base of the prism = volume of the prism divided by length of the base of the prism multiplied by height of the prism
Which pair of angles is congruent?
Answer:
Option 2
Step-by-step explanation:
Corresponding Angles Theorem
IsMepawsxD1234567890abcdef
IsMepawsxD1234567890abcdef
X^2+10x+22=13 1. Rewrite the equation by completing the square your equation should look like (x+c)^2 = d or (x-c)^2=d 2. What was the solution to the equation?
Answer:
(x+5)² = 16
Solution: -1 and -9
Step-by-step explanation:
Given the quadratic equation X^2+10x+22=13
Subtract 22 from both sides
X^2+10x+22-22=13-22
x^2+10x = -9
Complete the square
Add the square of half of coefficient of x to both sides
coefficient of x = 10
half of coefficient of x = 10/2 = 5
square of half of coefficient of x= 5² = 25
Add 25 to both sides
x²+10x + 25 = -9+25
(x+5)² = 16
Hence the required equation is (x+5)² = 16
(x+5)² = 16
square root both sides
√(x+5)² = √16
x+5 = √16
x +5 = ±4
x = +4 - 5 and -4-5
x = -1 and -9
Hence the solution to the equation is -1 and -9
Which is the decimal equivalent of 2/3
A. 0.23
OB. 0.32
O c. 0.3
O
D. 0.6
What are the restrictions for y for the following equation? X=10/5+y
Answer:
y = -5
Step-by-step explanation:
The restriction for the value of y is the value of the variable that will make the function undefined
The function is undefined when the denominator is zero i.e when 5 + y is zero
5+y = 0
y = 0-5
y = -5
Hence the restrictions is at when y = -5
Write your answer as a decimal or whole number % of 80 =60
Step-by-step explanation:
number = 15/2 or 7.5
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Rose and Carl share a 24-ounce bucket of clay. By the end of the week, Rose has used 3 8 of the bucket, and Carl has used 1 4 of the bucket of clay. How many ounces are left in the bucket?
Answer:Quantity of Clay left = 9ounce
Step-by-step explanation:
Quantity of clay in the bucket = 24 ounce
Quantity of clay used by rose=3/8 of 24 ounce = 4 x 3 = 9 ounce
Quantity of clay used by Carl= 1/4 of 24 ounce = 6 ounce
Therefore Quantity of Clay left = Quantity of clay in the bucket - (Quantity of clay used by rose+ Quantity of clay used by Carl
24 ounce - ( 9ounce + 6 ounce )
24-15ounce
= 9 ounce
pls subtract the first polynomial from the first one
(42m^(4)+21m^(2))+10) (-8m^(4)-12m^(3)-15m^(2)+9)
Answer:
34m^4+21m^3+6^2+19
Step-by-step explanation:
since there are no signs in between the bracket you just have to remove it a subtract and add like terms.