Answer:
We should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.
Step-by-step explanation:
The blend should,
Cost = $5
Weigh = 6 pounds.
Lets take the weight of $6 coffee as [tex]x[/tex] pounds
And lets take the weight of $3 coffee as [tex]y[/tex] pounds.
Lets write an equation for the weight of the blend,
[tex]x+y=6[/tex] <---------- 1st equation.
[tex]\frac{6x+3y}{x+y} =5[/tex]
=[tex]6x+3y=5x+5y[/tex]
=[tex]x=2y[/tex] <---------- 2nd equation
We can substitute to x in 1st equation from 2nd equation,
⇒[tex]2y+y=6[/tex]
=[tex]2y+y=6[/tex]
=[tex]3y=6[/tex]
=[tex]y=2[/tex]
We can substitute y value to 2nd equation to find x,
⇒[tex]x=2y[/tex]
=[tex]x=2*2[/tex]=[tex]x=4[/tex]
Therefore, we should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.
Lily takes a train each day to work that averages 35miles per hour. On her way home, her train ride follows the same path and averages 45miles per hour. If the total trip takes 2.5 hours, which equation can be used to find n, the number of miles lilly’s Home is from her work?
Answer:
distance distance
--------------- + ----------------- = 2.5 hrs
35 mph 45 mph
The distance is 49.22 miles.
Step-by-step explanation:
The time spent on the outward trip PLUS the time spent on the return trip add up to 2.5 hrs. Thus,
distance distance
--------------- + ----------------- = 2.5 hrs
35 mph 45 mph
Then 45d + 35d = 2.5(35)(45) = 3937.5. Adding 45d and 35d, we get 80d. Dividing 3937.5 by 80 results in 49.22 (miles).
The home to work distance is 49.22 miles.
Answer:
49.22
Step-by-step explanation:
The equation to your answer is n/35+n/45=2.5
What is 737.303 - 43.866
To subtract 43.866 from 737.303, align the decimal points and subtract the corresponding digits from right to left.
Explanation:To subtract 43.866 from 737.303, align the decimal points of the two numbers. Then subtract the corresponding digits from right to left, carrying over as necessary. The result is 693.437.
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What is the inflation rate if the price of a chocolate milkshake was $5 dollars last year but $15 this year
What is the value of each number in 1,567.209?
The value of one (1) is one-thousand (1,000)
The value of five (5) is five-hundred (500)
The value of six (6) is sixty (60)
The value of seven (7) is seven (7)
The value of two (2) is two-tenths (0.2)
The value of zero (0) is zero hundredths (0.00)
The value of nine (9) is nine thousandths (0.009
Justine wants to factor the expression 16a+40b by finding the GCF. How can you tell if she factors out the correct GCF
Final answer:
To factor the expression 16a+40b by finding the GCF, you determine that the GCF is 8 and then express the original terms as 8(2a + 5b). By distributing the GCF back into the factored terms and obtaining the original expression, you confirm the factorization is correct.
Explanation:
To factor the expression 16a+40b by finding the Greatest Common Factor (GCF), you first list the factors of each coefficient:
Factors of 16 are 1, 2, 4, 8, 16.
Factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.
The GCF for these two numbers is 8 because it is the highest number that divides both 16 and 40 evenly. Now, you factor out the GCF from both terms in the expression:
8(2a + 5b)
To verify if the GCF is factored out correctly, you can distribute 8 back into the terms within the parentheses. If the original expression is obtained, the GCF was factored out correctly:
8*2a = 16a
8*5b = 40b
Therefore, the factored expression is correct, and Justine has successfully found and factored out the GCF.
a group of students were surveyed to find out if they like building snowmen or skiing as a winter activity. The results of the survey are: 60 students like building snowmen; 10 students like building snowmen, but don't like skiing; 80 students like skiing; 5 students don't like building snowmen. Part B: What is the probability that a student who does not like building snowmen also does not like skiing?
Answer:
2/5 or 0.4
Step-by-step explanation:
10 students like building snowmen but do not like skiing
so students who like both building snowman and skiing = 60 - 10 = 50
Total number of students who does not like building snowman and also does not like skiing = 80 - 60 = 20
Therefore, the probability that a student who does not like building snowmen also does not like skiing = 20/50 = 0.4
5x + 2y = 5 3x - y = 14 Which of the following equations is not a result of solving the system of equations by addition?
11x = 19
11y = -55
11x = 33
Answer:
11x = 19
Step-by-step explanation:
The equation 11x = 19 is not a result of solving the system of equations by addition.
What is the general equation of a Straight line? What is a linear system of equations?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
A system of linear equations is usually a set of two linear equations with two variables.
We have the system of equations as -
5x + 2y = 5
3x - y = 14
Assume that -
5x + 2y = 5 ..[1]
3x - y = 14 ..[2]
Eq[2] x 2, we get -
6x - 2y = 28 ..[3]
Adding [1] and [3], we get -
11x = 33
x = 3
The equation 11x = 19 is not a result while solving the equations
Therefore, the equation 11x = 19 is not a result of solving the system of equations by addition.
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A pet store has nine dog leashes. It has a few were dog leashes then dog collars. How many dog collars does the store have
Does it say how many less leashes the store has compared to X collars? Cause if it doesn't you'll just have to estimate the answer between I would say 5 and 7.
Pecan trees yield 45 pounds per acre and hazelnut trees yield 25 pounds per acre. Suppose Jenna’s farm has p acres of pecan trees, h acres of hazelnut trees, and yields 900 pounds of nuts. What is the equation that represents this scenario?
Answer:
Equation, 45 p + 25 q = 900
Explanation:
Pecan trees yield 45 pounds per acre and hazelnut trees yield 25 pounds per acre.
Pecan tree yield per acre = 45 pounds
Hazelnut tree yield per acre = 25 pounds
Acres of pecan trees in Jenna's farm = p
Acres of hazelnut trees in Jenna's farm = q
Total pounds of nut yielded = 900
So we have the equation,
45 p + 25 q = 900
Consider the polynomials A=4x2−10 and B=−6x2−5 . Determine the sum and difference of these polynomials. A+B=
A−B=
A + B = - 2x² - 15 , A - B = 10x² - 5
A + B = 4x² - 10 - 6x² - 5 = - 2x² - 15
A - B = 4x² - 10 ) - ( - 6x² - 5 ) = 4x² - 10 + 6x² + 5 = 10x² - 5
A line segment is drawn between the points (5,8) and (-1,6). What are the coordinates of the midpoint of the segment?
Hello!
To find the midpoint of the line segment, use the formula: [tex](\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})[/tex]. In simpler terms, we are finding the average of the two points.
We can assign [tex]x_{1}[/tex] and [tex]y_{1}[/tex] to the point (5, 8), and (-1, 6) to [tex]x_{2}[/tex] and [tex]y_{2}[/tex].
[tex](\frac{5+(-1)}{2}, \frac{8+6}{2}) = (\frac{4}{2}, \frac{14}{2}) = (2, 7)[/tex]
Therefore, the coordinates of the midpoint of the line segment is (2, 7).
Final answer:
The coordinates of the midpoint of the line segment with endpoints (5,8) and (-1,6) are (2,7).
Explanation:
To find the coordinates of the midpoint of a line segment, we can use the midpoint formula which states that the x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the two endpoints.
Using the formula, we can find the midpoint of the line segment with endpoints (5,8) and (-1,6).
x-coordinate: (5 + (-1)) / 2 = 4 / 2 = 2
y-coordinate: (8 + 6) / 2 = 14 / 2 = 7
Therefore, the coordinates of the midpoint of the line segment are (2,7).
Name the operation you would do first: -8 + 13 + (-24) + 6(-4)
You would just start from the beginning because it is all addition (Pemdas) Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction
Reggie Lost 4 spaceships in level 3 of a video game he lost 50 points for each spaceship when he completed level 3 he earned a bonus of 550 points by how much to his score change?
Reggie's score changed by 350 points.
Explanation:Reggie lost 4 spaceships in level 3 of a video game, and he lost 50 points for each spaceship. So, the total points lost would be 4 multiplied by 50, which is 200 points. However, when Reggie completed level 3, he earned a bonus of 550 points. To find out how much his score changed, we need to consider both the points lost and the bonus earned.
Points lost: 4 spaceships x 50 points/spaceship = 200 points
Bonus earned: 550 points
Score change: Bonus earned - Points lost = 550 points - 200 points = 350 points
Therefore, Reggie's score changed by 350 points.
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The volume of a rectangular prism is given by the formula V=lwh, where I is the length of the prism, w is the width, and h is the height. Which expression represents the volume of the following rectangular prism?
Answer:
The answer is [tex]6x^{3} +39x^{2}+54x[/tex]
Step-by-step explanation:
Volume of the rectangular prism = Length * Width * Height
Length (l) = [tex]x+2[/tex]
Width (w) = [tex]3x[/tex]
Height (h) = [tex]2x+9[/tex]
By substituting these values to the equation above,
Volume of the rectangular prism = [tex](x+2)*3x*(2x+9)[/tex]
=[tex](3x^{2} +6x)*(2x+9)[/tex]
=[tex]6x^{3} +27x^{2} +12x^{2} +54x[/tex]
=[tex]6x^{3} +39x^{2}+54x[/tex]
Therefore,
The answer is [tex]6x^{3} +39x^{2}+54x[/tex]
Answer:
Volume = [tex]6x^3+39x^2+54x[/tex]
Step-by-step explanation:
Prism is an object which has two bases which are parallel to each other and other faces are parallelograms .
Rectangular prism is a three dimensional figure which has 6 faces which are all rectangles .
Let l be the length of rectangular prism , w be the width of prism and h be the height of prism .
Then volume of rectangular prism is equal to [tex]lwh[/tex] .
We will also use formula: [tex]a(b+c)=ab+ac[/tex]
Here,
[tex]l=x+2\\w=3x\\h=2x+9[/tex]
Therefore,
volume of rectangular prism is calculated as follows:
[tex]V=\left ( x+2 \right )\left ( 3x \right )\left ( 2x+9 \right )\\=\left ( 3x^2+6x \right )\left ( 2x+9 \right )\\=3x^2\left ( 2x+9 \right )+6x\left ( 2x+9 \right )\\=6x^3+27x^2+12x^2+54x\\=6x^3+39x^2+54x[/tex]
Please help with the question ASAP
How to write 0.0306 in words
A basketball team scored an average of 52 points in each of 15 games. Based on the average, how many points did the team score in all? Please help it’s for my son homework
The basketball team, based on their average score of 52 points a game, would score a total of 780 points in 15 games.
Explanation:
To compute the total number of points a team scores in all games, based on their average score, the formula to use is: Total Score = (Average Score) × (Number of Games). The question states that the basketball team scored an average of 52 points in each of 15 games. So, we have:
Total Score = 52 points per game × 15 games
Calculating the above gives Total Score = 780 points.
This means that, based on their average of 52 points per game, the basketball team would score a total of 780 points in 15 games.
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Which is irrational?
0.117117117...
0.8596873205...
0.812812812812...
0.605605605...
0.8596873205... because it does not repeat the same numbers in a certain order
Without a repeating pattern, 0.8596873205... is most likely irrational.
The question is asking us to identify which among the given numbers is irrational.
An irrational number is a number that cannot be expressed as a ratio of two integers, and whose decimal expansion is non-terminating and non-repeating.
Among the options given, the number 0.8596873205... (although not fully expanded) is likely to be irrational if the digits do not form a repeating pattern.
However, we cannot definitively conclude that it is irrational without additional information about the continuation of its decimal digits.
In contrast, numbers with repeating patterns, such as 0.117117117..., 0.812812812812..., and 0.605605605..., can be expressed as fractions and are therefore rational
FND THE SUM OR DIFFERENCE! 3 QUESTIONS!! MATHMATICS
1. 7/8 - 5/12
a.11/24
b. 2/24
c. 2/8
d. 2/12
2. 1/6 + 3/8
a. 4/6
b. 4/8
c. 4/14
d. 13/24
3. the sum of two numbers 7/8 one addend is 3/4 what is the other?
a. 4/4
b.1/8
c. 1/4
d 2/8
g.o ha 3 orange picks gor every 2 green if there are 25 in all how many are orange
To solve this problem you must apply the proccedure shown below:
1. You can make the following expression, where [tex]O[/tex] is the orange picks and [tex]G[/tex] is the green picks:
[tex]O+G=25[/tex]
2. You have that there are 3 orange picks gor every 2 green, therefore:
[tex][tex]\frac{3}{2} =\frac{O}{G}\\ G=\frac{2}{3}O[/tex][/tex]
3. Substitute [tex]G[/tex] into the first equation and solve for [tex]O[/tex]:
[tex]O+\frac{2}{3}O=25\\ \frac{5}{8}O=25\\ O=15[/tex]
The answer is: There are 15 orange.
I need help with math -4+a=15
Note the equal sign. What you do to one side, you do to the other. Isolate the a.
Add 4 to both sides
a- 4 (+4) = 15 (+4)
a = 15 + 4
a = 19
19 is your answer for a
hope this helps
The answer is 19.
-4 + a = 15
4 + -4 + a = 15 + 4 -Add 4 to both sides
a = 19
please answer and explainp
90998.0014483 rounded to the nearest ten
Answer:
91000 or 9.100 * 10^4
Step-by-step explanation:
This mean that a lot of things are going to change. The decimal will disappear. If that happens what you have is
90998
Now many other things will disappear as well because you are rounding
The easiest way to show this is just to round which will give you
91000
If you know scientific notation then the answer becomes
9.100 * 10^4
calculate midpoint of (8,4) and (12,2)
The formula of a midpoint:
[tex]M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]
We have:
[tex]A(8,\ 4)\to x_A=8,\ y_A=4\\B(12,\ 2)\to x_B=12,\ y_B=2[/tex]
Substitute:
[tex]\dfrac{8+12}{2}=\dfrac{20}{2}=10\\\\\dfrac{4+2}{2}=\dfrac{6}{2}=3[/tex]
Answer: (10, 3).Let's first recall what is known as the Midpoint formula we have, so by the Midpoint formula, we know that, the midpoint of any line segment joining the points [tex]{\bf{A(x_{1},y_{1})}}[/tex] and [tex]{\bf{B(x_{2},y_{2})}}[/tex] is given by
[tex]{\boxed{\bf{M(x,y)=\bigg(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2}\bigg)}}}[/tex]Now, if we assume our points to be A(8,4) and B(12,2) and the midpoint being M, then we will be having :
[tex]{:\implies \quad \sf M=\bigg(\dfrac{8+12}{2},\dfrac{4+2}{2}\bigg)}[/tex]
[tex]{:\implies \quad \sf M=\bigg(\dfrac{20}{2},\dfrac{6}{2}\bigg)}[/tex]
[tex]{:\implies \quad \boxed{\bf{M=(10,3)}}}[/tex]
Hence, the required Midpoint is (10,3)
Which statement is true about the given set of data? {(4, 0), (5, 0), (8, 0), (11, 0)}
{4, 5, 8, 11} are the domain.
{4, 5, 8, 11} are the range.
{4, 5, 8, 11} are the outputs.
{4, 5, 8, 11} are functions.
Answer:
a
4,5,8,11 are the domain
Step-by-step explanation:
x is always the domain, input and It could also be a function but I don't think that only four five eight and 11 are functions so I would go with a
Out of the provided statements, the correct one is that {4, 5, 8, 11} are the domain, as these values are the first elements in each ordered pair of the given set.
The set of data given is {(4, 0), (5, 0), (8, 0), (11, 0)}, and with respect to this set, the domain is the set of first elements of each ordered pair, while the range is the set of second elements. In this case, the domain is the set {4, 5, 8, 11}, and the range is the set containing just one element, which is {0}, since each second element is 0. Therefore, the correct statement is: {4, 5, 8, 11} are the domain.
Marsha at 8/9 yard of fabric she cut it into four pieces of equal length. How long was each piece?
the area of a rectangular picture frame is 30 1/3 square inches the length is 6 and 1/2 in find the width of the frame
A=length*width
30 1/3 = 6 1/2 w
w= 30 1/3 divided by 6 1/2
w=182/39
w=4 2/3
4 and 2/3
i turned it into an improper fraction
91/3÷13/2=
4 2/3 when simplified
A diver is swimming at -10m. he then descends 3 m and rises 6 m. at what new level is the diver swimming?
Hey there!
The correct answer would be~
The diver is now swimming at -7 meters.
Here's how:
If the diver is already swimming at negative 10, going deeper would add to that.
(-10) + (-3) = -13
So at this point, he is at -13 meters. However, it says he rises 6 meters.
So if he rises, we need to subtract.
13 - 6 = 7
Therefore he is now at -7 meters.
Hope this helps!
~Fluerie
Solve for number eight please ! I really need help with this !!!
Answer:
x + (x+1) + (x+2) = 90
3x + 3 = 90
3x = 87
x = 29 (which is the smallest of the 3 numbers).
Step-by-step explanation:
Round 0.0695712 to 1 significant figure
0.07 to 1 significant figure
the zero's are not significant. They are place settings.
The 6 is significant and the 9 following it round the 6 to 7
hence, 0.07 is the rounded value