Answer:
Let's define:
X = number of pounds of the brand 1 (price = $2.50 per pound)
Y = number of pounds of the brand 2 (price = $2.80 per pound)
We want to make a mix of 480 pounds, then:
X + Y = 480.
And we want the mean price to be $2.68, then:
(X*$2.50 + Y*$2.80)/480 = $2.68
Then we have a system of equations:
X + Y = 480
(X*$2.50 + Y*$2.80)/480 = $2.68
To solve this, the first step will be to isolate one variable in one of the equations, and then replace this in the other equation.
Let's isolate X in the first eq.
X = 480 - Y.
Now we can replace this in the other equation and get:
((480 - Y)*$2.50 + Y*$2.80)/480 = $2.68
Now let's solve this for Y.
((480 - Y)*$2.50 + Y*$2.80) = $2.68*480 = $1,286.40
$1,200 + Y*$0.30 = $1,286.40
y*$0.30 = $1,286.40 - $1,200 = $86.40
Y = $86.40/$0.30 = 288
Then:
X = 480 - Y = 480 - 288 = 192
Then the manager must use 192 pounds of the brand that costs $2.50 per pound, and 288 pounds of the brand that costs $2.80 per pound.
What equation can be used to solve for x in the following diagram?
HELP ASAP
Answer:
C
Step-by-step explanation:
If you look at the two angles, one is 7x and the other is 11x, they appear to be next to each other and make a right angle, if you look at the bottom corner of them there is a square which means it is a right angle. this means that if you put 7x with 11x it would = 90
What is the solution of the inequality
- 47 < -20
Answer:
True?
Step-by-step explanation:
There not really an equation here.
But that is correct.
-47 is less than -20
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
3
John has 18 pounds of pet food and is going to separate it into pound portions. How many portions of pet food will he
have?
Answer:16
Step-by-step explanation:18- 3=16
What property would you use to solve. 6x=72
Answer:
divison i believe
Answer: Multiplication Property of Equality
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]
The perimeter of a triangle is 17 x − 5 units. One side is 3 x + 5 units and another is 8 x − 3 units. How many units long is the third side? 6 x − 7 6 x − 7 6 x − 13 6 x − 13 12 x − 7 12 x − 7 22 x − 23
Answer:
A.) 6x - 7
Step-by-step explanation:
If u understand this May u please help me please
Answer:
y=-(2/3)x-3
Step-by-step explanation:
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]
i rlly rlly rlly rlly rlly need help with this
Which equation is graphed here?
A) 2y - x = 12
B) x + 2y = 12
C) 2x - y = 12
D) 2x + y = 12
Answer:
A
Step-by-step explanation:
because it is what i think its rright correct me!
Answer:
D
Step-by-step explanation:
usa test prep
I got it correct
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.
I am very much lost if anybody understand this can u help me
Please
Answer:
y= -2/7x-7
Step-by-step explanation:
slope intercept form is just a fancy way of saying y=mx+b
x being your input, y your output, m your slope, and b your y intercept
you can use the slope to determine your equation will look something like: y=-2/7x+b. To find your y-intercept all you do is determine how much the point will increase or decrease so it is equal to (0, y). In this case it will increase by 14 on the x's (so x is equal to 0) and 14*-2/7. When you have determined your y-int and slope you can then plug them into the equation instead of the variables.
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?.
5
Select the correct answer from the drop-down menu.
In a two-digit number, the tens digit is twice the ones digit. The difference of the ones digit and half the tens digit is 0.
An equation created to find the digit in the ones place will have
Reset
Next
Answer:
one solution i really hope this helps
Step-by-step explanation:
Answer:
one solution
Step-by-step explanation:
i took the test
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).
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
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
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
https://brainly.com/question/32124899
#SPJ1
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
Learn more about exponential functions here:
https://brainly.com/question/2584841
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
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 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.
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
Please help! Pleaseeee! It’s not that hard
Answer:
B
Step-by-step explanation:
helpppp plesase ASAP
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:
ComeShakeYourBodyBabyDoTheCongaCantHoldMyselfAnyLongerComeShakeYourBodyAnyLonger
Answer:
hello
Step-by-step explanation:
i get points for this so im just gonna answer :3
Can someone please help me ASAP
Answer:
D
Step-by-step explanation:
They should both level out at the same height considering the volume of hydrochloric acid used.
Answer:
D
Step-by-step explanation:
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.