Correct question is;
1) Milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup. If the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat, how much cream is in the mixture?
2) Fifteen percent of the pigment in paint color A is black. Sixty percent of the pigment in paint color B is black. An unknown amount of paint color B is mixed with 40 ml of paint color A, resulting in a paint that contains 25% black pigment. Which equation can be used to solve for x, the total amount of paint in the mixture of the two colors?
A) 0.15(40) + 0.6x = 0.25(40 + x)
B) 0.15(40) + 0.6(x – 40) = 0.25(x)
C) 0.15(40) + 0.6x = 0.25(40 – x)
D) 0.15(40) + 0.6(x + 40) = 0.25(x)
Answer:
1) Amount of cream = ¼cup
2) Option D: 0.15(40) + 0.6(x - 40) = 0.25x
Step-by-step explanation:
1) First of all, let x represent the amount of cup of milk and let y represent the of cup of cream.
We are told that the volume of the mixture is 1 cup.
Thus;
x + y = 1 - - - (eq 1)
We are now told that the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat
Thus, x contains 0.02 fat, y contains 0.18 fat and the 1 cup of mixture contains 0.06 fat.
Thus, we will multiply the respective terms in eq 1 by these %fat content.
Thus;
0.02x + 0.18y = 0.06(1)
0.02x + 0.18y = 0.06 - - - (eq 2)
From eq 1, let's make y the subject which is the amount of cup of cream.
Thus,
y = 1 - x
Let's put 1 - x for y in eq 2 to get;
0.02x + 0.18(1 - x) = 0.06
0.02x + 0.18 - 0.18x = 0.06
0.18x - 0.02x = 0.18 - 0.06
0.16x = 0.12
x = 0.12/0.16
x = 3/4 cup
From,y = 1 - x;
y = 1 - (3/4)
y = ¼ cup
Amount of cream = ¼cup
2) We are given;
15% of the pigment in paint color A is black.
60% of the pigment in paint color B is black.
We are now told that Alan unknown amount of paint color B is mixed with 40 ml of paint color A, resulting in a paint that contains 25% black pigment.
If we assume the total amount of paint in the mixture is x like we are told, it means that based on the given data, we have a sum of;
0.15(40) + 0.6(x - 40)
Thus is because we know the amount of paint A used as 40 but don't know the amount of paint B used.
Now we are told that this sum produces a mixture that contains 25% black pigment. Since the total amount in the mixture is x. Thus, this final product is 0.25x.
Therefore to derive an equation to find the total amount of paint in the mixture of the two colors, we will equate the sum of the 2 Mixtures to the final product.
This gives;
0.15(40) + 0.6(x - 40) = 0.25x
If one postage stamp costs $0.85, how much does a book of 25 stamps cost?
Answer:
$21.25
Step-by-step explanation:
Multiplying 0.85 by 25 gives 21.25
If u understand this May u please help me please
Answer:
y=-(2/3)x-3
Step-by-step explanation:
A nursery owner buys 9 panes of glass to fix some damage to her greenhouse. The 9 panes cost $21.15.
Unfortunately, she breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of
glass?
Answer:
Your answer is going to be $4.70.
Step-by-step explanation:
21.15/9= 2.35
2.35*2=4.70
A receipe makes 3 dozen (36) muffins. You only want to make one dozen. How much of the original recipe should you make.
Answer:
a third 1/3
Step-by
you only want 1 dozen so its 1 dozen/3 dozen
please help! 50 points
.Divide 6.410251.6109 1) Group the numerical factors together. 2) Simplify powers of 10 (exponent properties)
Answer:
Thanks so much
Step-by-step explanation:
plz give me brainiest
Answer:
= 0.312
Solution:
Change the divisor 6.410251 to a whole number by moving the decimal point 6 places to the right. Then move the decimal point in the dividend the same, 6 places to the right.
We then have the equations:
2000000 ÷ 6410251 = 0.312
and therefore:
2 ÷ 6.410251.6109 1) = 0.312
Both calculated to 3 decimal places.
0 0 0 0 0 0 0. 3 1 2
6 4 1 0 2 5 1 2 0 0 0 0 0 0. 0 0 0
− 0
2 0
− 0
2 0 0
− 0
2 0 0 0
− 0
2 0 0 0 0
− 0
2 0 0 0 0 0
− 0
2 0 0 0 0 0 0
− 0
2 0 0 0 0 0 0 0
− 1 9 2 3 0 7 5 3
7 6 9 2 4 7 0
− 6 4 1 0 2 5 1
1 2 8 2 2 1 9 0
− 1 2 8 2 0 5 0 2
1 6 8 8
PLEASE HELP ASAP!!!!
the graph below models an exponential relationship. drag one equation and one table to match the relationship shown.
Answer: y=-2^x is an equation.
I got the second one wrong.
The base of the exponential relationship that gives the graph that is below
the horizontal x-axis has a negative constant coefficient.
The equation that matches the given relationship is the option; y = -2ˣThe table that matches the relationship is the option;
[tex]\begin{tabular}{|c|c|c}x&y\\0&-1\\1&-2\\2&-4\end{array}\right][/tex]Reasons:
Points on the graph are; (0, -1) (1, -2), and (2, -4).
The above points can be presented in a tabular form as follows;
[tex]\begin{tabular}{|c|c|c}x&y\\0&-1\\1&-2\\2&-4\end{array}\right][/tex]
The above table which corresponds with the first table is the table that
matches the relationship of the graph.
By using the equation, y = -2ˣ, we have;
At x = 0, y = -(2⁰) = -1 which gives the point (0, -1)
At x = 1, y = -2¹ = -2, which gives (1, -2)
At x = 2, y = -2² = -4, which gives (2, -4)
The above points are the points on the graph, therefore, the equation is the option; y = -2ˣ
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Maria and Don Papace are flying to Florida to explore the possibility of moving there. They will be traveling with their two teenage sons. The table below lists information they have researched on the round-trip airfares that are available for purchase on the dates they have chosen to travel.
Answer:
5
Step-by-step explanation:
What property would you use to solve. 6x=72
Answer:
divison i believe
Answer: Multiplication Property of Equality
Select the graph that represents the solution of the compound inequality –6 ≤ 4x + 6 < 14.
A number line from negative 5 to 5 in increments of 1. A point is at 0 and a bold line is drawn to the right stopping at the open circle at 2.
A number line from negative 5 to 5 in increments of 1. A point is at negative 5 and a bold line is drawn to the right stopping at the open circle at 3.
A number line from negative 5 to 5 in increments of 1. A point is at negative 3 and a bold line is drawn to the right stopping at the open circle at 5.
A number line from negative 5 to 5 in increments of 1. A point is at negative 3 and a bold line is drawn to the right stopping at the open circle at 2.
A number line from negative 5 to 5 in increments of 1. A point is at negative 3 and a bold line is drawn to the right stopping at the open circle at 2.
Selecting the graph that represents the solution of the compound inequalityfrom the question, we have the following parameters that can be used in our computation:
–6 ≤ 4x + 6 < 14
Subtract 6 from all sides
So, we have
–12 ≤ 4x < 8
Divide through by 4
–3 ≤ x < 2
The number line that represents this is (d)
Read more about inequality at
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I’ll give brainliest :)!
Answer:
-13
Step-by-step explanation:
g(1) = -5*1 = -5
f(g(1)) = f(-5) = 2*(-5) - 3 = -10-3 = -13
5(x+4)= -2(-4-x)+3
what is the answer?
Answer:
x=-3
Step-by-step explanation:
first multiply them out: 5x+20=2x+11
then subtract both sides by 2x: 3x+20=11
subtract both sides by 20: 3x=-9
divide both sides by 3: x=-3
Answer:
x = -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
5(x + 4) = -2(-4 - x) + 3
Step 2: Solve for x
Distribute: 5x + 20 = 8 + 2x + 3Combine like terms: 5x + 20 = 2x + 11Subtract 2x on both sides: 3x + 20 = 11Subtract 20 on both sides: 3x = -9Divide 3 on both sides: x = -3Step 3: Check
Plug in x to verify it's a solution.
Substitute: 5(-3 + 4) = -2(-4 - -3) + 3Simplify: 5(-3 + 4) = -2(-4 + 3) + 3Add: 5(1) = -2(-1) + 3Multiply: 5 = 2 + 3Add: 5 = 5Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.
And we have our final answer!
What is the equation helppp
Answer:
y=2x+4
Step-by-step explanation:
Answer:
The slope-intercept equation is y=2x+4
Step-by-step explanation:
The y-intercept is where it crosses the y-axis, so 4, and to find the slope find perfect points or pretty points and rise then run. I took the point (0,4) and found the next pretty point (1,6) and rise/run it. In order to get to the next point you have to rise 2 and run 1 or 2/1 which is 2, so the slope is 2, then you plug it into the equation y=mx+b the y=intercept is b and the slope is m.
Please help me figure out what the slop-intercept form is. Also, what is the solution to the system?
Answer:
p= y=6x+2
Q= y=-2x+2.5
Step-by-step explanation:
the formula is y=mx+b
M=slope
B=y-intercept
The y-intercept is the number that your line goes through
The slope is two ordered pairs where you use the formula rise over run to find your slope.
Representing linear functions: slope-intercept form
Answer:
answer should be A
Step-by-step explanation:
Last month, the online price of a powered ride-on car was $250. This month, the online price is $330. What is the percent of increase in the price of the car? Round the percent to the neartst tenth if necessary.
Answer: 32.0%
Step-by-step explanation:
The price of car last month = $250
The price of the car this month = $330
Increase in price = $330 - $250 = $80
Percentage increase = (Increase in price/Cost price last month) × 100
= $80$250 × 100
= 0.32 × 100
= 32.0%
The percent of increase in the price of the car is 32.0%.
1) Solve by using elimination.
x-3y = 7
3x + 3y = 9
Answer:
( 3 - 3 )
Step-by-step explanation:
I search up all my the questions people ask me and make sure they are %100 percent correct. If any other questions, ask right away. Have a good night.
Order from greatest to least : 0.8; 8.83; 0.083; 80.83
Answer:
ok
Step-by-step explanation:
0.083,80.83,8.83,0.8
Hope that helps you.
A unicorn whose mass is 65 kg is moving at a speed of 4 m/s. What is the unicorn's kinetic energy?
Answer:
[tex]KE = 520 J[/tex]
Step-by-step explanation:
[tex]KE=\frac{1}{2}mv^2\\KE=\frac{1}{2}*65*4^2\\KE=\frac{1}{2}*65*16\\\\KE=520J[/tex]
It costs $11 for $15 granola bars.
What is the unit price, in dollars per granola bar, rounded to the nearest hundredth?
pls answer i need it
Answer:
$0.73
Step-by-step explanation:
You need to divide $11 by 15 granola bars
The answer is 0.73333333333. . .
Rounded to the nearest hundredth is 0.73
So 1 granola bar costs $0.73
Hope this helped :)
Answer: It is $0.73 for each granola bar. 11/15
Step-by-step explanation:
If the point R (x, y) is equidistant from two points P (- 3, 4) and Q (2, – 1), prove that
y = x + 2.
Answer:
see explanation
Step-by-step explanation:
Calculate the distance between (x, y) and the 2 given points and equate them.
Using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (x, y) and (x₂, y₂ ) = P(- 3, 4)
d = [tex]\sqrt{(-3-x)^2+(4-y)^2}[/tex]
Repeat with (x₁, y₁ ) = (x, y) and (x₂, y₂ ) = Q(2, - 1)
d = [tex]\sqrt{(2-x)^2+(- 1- y)^2}[/tex]
Equating both distances
[tex]\sqrt{(2-x)^2+(-1-y)^2}[/tex] = [tex]\sqrt{(-3-x)^2+(4-y)^2}[/tex]
Square both sides
(2 - x)² + (- 1- y)² = (- 3 - x)² + (4 - y)² ← expand and simplify both sides
4 - 4x + x² + 1 + 2y + y² = 9 + 6x + x² + 16 - 8y + y²
subtract x² + y² from both sides
5 - 4x + 2y = 25 + 6x - 8y ( add 8y to both sides )
5 - 4x + 10y = 25 + 6x ( subtract 5 from both sides )
- 4x + 10y = 20 + 6x ( add 4x to both sides )
10y = 10x + 20 ( divide all terms by 10 )
y = x + 2 ← as required
Solve for x - Remember to multiply both sides by the reciprocal 2/3 x = 12 *
Answer:
x=18
Step-by-step explanation:
First, multiple both sides by reciprocal 3/2.
It will look like this: x=12*3/2
Then, simplify:
x=18
Hope it helped.
A motel rents double rooms at $34 per day and single rooms at $27 per day. If 26 rooms were rented one day for a total of $807, how many rooms of each kind were rented? system of equations
Let, number of double rooms and single rooms are d and s.
d + s = 26 ....1 )
Hotel rents double rooms at $34 per day and single rooms at $27 per day.
34d + 27s = 807 ....2)
Solving equation 1 and 2, we get :
34( 26 - s ) + 27s = 807
884 - 34s + 27s = 807
7s = 77
s = 11
And d = 26 - 11 = 15
Therefore, number of double rooms and single rooms are 15 and 11.
Hence, this is the required solution.
three hundred eighty-nine billion, nine hundred thirty-six million, two hundred six thousand, seven hundred sixty-seven in standard form
Answer:
389,936,206,767
Step-by-step explanation:
Answer:
389,936,267,767
Step-by-step explanation:
thats the one
I need to find the answer to B
Answer:
a) The next two terms are: 13, 16
b) nth term of the sequence is [tex]\mathbf{a_n=3n-5}[/tex]
Step-by-step explanation:
a) Find the next two terms of sequence: -2,1,4,7 and 10
The common difference d: a₂-a₁ = 1-(-2)= 3
a₃-a₂= 4-1 = 3
a₄-a₃=7-4=3
So, common difference is : 3
Next two terms are: 10+3 = 13
13+3= 16
The next two terms are: 13, 16
b) Find nth term of the sequence
The nth term can be found using formula:
[tex]a_n=a_1+(n-1)d[/tex]
where a₁=First term and d=Common Difference
In the sequence given we have a₁=-2 and d=3
So, the nth term will be:
[tex]a_n=a_1+(n-1)d\\a_n=-2+(n-1)3\\a_n=-2+3n-3\\a_n=3n-5[/tex]
So, nth term of the sequence is [tex]\mathbf{a_n=3n-5}[/tex]
Lauren predicts she will take 129 photos during vacation. If Lauren actually takes 111 photos, what is Lauren's percent error? Round your answer to the nearest tenth.
Answer:
Lauren's percent error = 13.95% Approx
Step-by-step explanation:
Given:
Number of photos predict = 129
Number of photos actual = 111
Find:
Lauren's percent error
Computation:
Lauren's percent error = [(Number of photos predict - Number of photos actual)/(Number of photos predict)]100
Lauren's percent error = [(129 - 111)/129]100
Lauren's percent error = [(129 - 111)/129]100
Lauren's percent error = [(18)/129]100
Lauren's percent error = 13.95% Approx
9.5 x 7 =
Solve the problem
Answer:
66.5
Step-by-step explanation:
9.5 × 7 is 66.5
Hope this helps!
Write a quadratic function in the vertex form such that the graph of the function has a vertex at (6, -2) and passes through point (9, -11).
Write 2x+y=17 in slope-intercept form
Answer:
Step-by-step explanation:
Let's solve for x.
2
x
+
y
=
17
Step 1: Add -y to both sides.
2
x
+
y
+
−
y
=
17
+
−
y
2
x
=
−
y
+
17
Step 2: Divide both sides by 2.
2
x
2
=
−
y
+
17
2
x
=
−
1
2
y
+
17
2
Answer:
x
=
−
1
2
y
+
17
2
This can be determined by the concept of straight line. [tex]\bold{y=-2x+17}[/tex] is the slope-intercept form of [tex]2x+y=17[/tex].
Given: 2x + y = 17
As, we know that,
Equation of line is,
[tex]\bold{y=mx+c}[/tex]
Where, 'm ' gives the slope/gradient of the line and 'c' gives y-intercept.
From the given equation,
[tex]2x+y=17[/tex]
Solve it further , we get,
[tex]\bold{y=-2x+17}[/tex]
This is the slope-intercept form of [tex]2x+y=17[/tex].
Here, comparing this with [tex]y=mx+c[/tex], we get
m= -2 ( slope/gradient) and c= 17 (y-intercept)
So, slope / gradient of line : m= -2.
For further details, please refer this link:
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Please help! Pleaseeee! It’s not that hard
Answer:
B
Step-by-step explanation:
Taryn makes $80 for eight hours of work. She is paid in direct variation to the hours that she works. Which graph models her pay?.