To find the number of 2 kg and 4 kg sugar bags in the shipment, we use a system of equations. By setting x as the number of 2 kg bags and y as the number of 4 kg bags, we determine that there are 750 bags of 2 kg sugar and 350 bags of 4 kg sugar.
Explanation:To solve the problem of determining how many 2 kg bags and 4 kg bags of sugar are in the shipment of 1100 bags with a total mass of 2900 kg, we need to set up a system of equations and solve for the variables representing the quantities of each type of bag. Let's denote x as the number of 2 kg bags and y as the number of 4 kg bags.
The first equation represents the total number of bags:
x + y = 1100.
The second equation represents the total weight of the bags:
2x + 4y = 2900.
We can solve these equations using substitution or elimination methods. For simplicity, let's multiply the first equation by 2 and subtract it from the second equation:
2(x + y) = 2(1100) --> 2x + 2y = 2200(2x + 4y) - (2x + 2y) = 2900 - 22002y = 700y = 350Now that we know y, we can substitute it back into the first equation to find x:
x + 350 = 1100x = 750Therefore, there are 750 bags of 2 kg sugar and 350 bags of 4 kg sugar in the shipment.
The current ratio (assets/liabilities) of company X is 2.9. Given that the current assets are $377000, find the current liabilities:
Current liabilities = 130000
The board of directors determines that the current ratio must never be below 2.6. What is the maximum amount that the company can borrow?
Answer:
The maximum amount that the company X can borrow is $ 145,000
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Current ratio of assets/liabilities = 2.9
Current assets = $ 377,000
Current liabilities = Currents assets/Ratio = 377,000/2.9 = $ 130,000
2. The board of directors determines that the current ratio must never be below 2.6. What is the maximum amount that the company can borrow?
Desired ratio of assets/liabilities = 2.6
Current assets = $ 377,000
Desired liabilities = $ Current assets/Ratio = 377,000/2.6 = $ 145,000
The maximum amount that the company X can borrow is $ 145,000
If f(x)=2/3x+14, then find the value of f(12)
[tex]\dotfill[/tex]
To find the value of the given function, substitute x = 12 instead of x and evaluate.
Given function:
[tex]\sf f(x)=\cfrac{2}{3} x+14[/tex]
Substitute 12 for x:
[tex]\sf f(12)=\cfrac{2}{3}\times12+14[/tex]
Convert 12 to a fraction to make multiplying easier:
[tex]\sf f(12)=\cfrac{2}{3}\times\cfrac{12}{1}+14[/tex]
[tex]\sf f(12)=\cfrac{2\times12}{3\times1}+14[/tex]
[tex]\sf f(12)=\cfrac{24}{3}[/tex]
[tex]\sf f(12)=8[/tex]
>>> Therefore, the value of the function is 8.
The value of [tex]\( f(x) = \frac{2}{3}x + 14 \)[/tex] is 22.
To find the value of f(12), you simply need to substitute (x = 12) into the function f(x) and evaluate it:
Given: [tex]\( f(x) = \frac{2}{3}x + 14 \)[/tex]
Substituting x = 12:
[tex]\[ f(12) = \frac{2}{3} \times 12 + 14 \][/tex]
Now, let's calculate:
[tex]\[ f(12) = \frac{2}{3} \times 12 + 14 \]\[ = \frac{2}{3} \times 12 + 14 \]\[ = 8 + 14 \]\[ = 22 \][/tex]
So, [tex]\( f(12) = 22 \)[/tex].
reply fast pls I only have 20 min to answer pls help in 20 min ill give brainlyest to the first one to reply and get it correct
Answer:
see the explanation
The solution's table in the attached figure
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
Let
y ----> the price
x ----> the weight
Find the value of the proportionality constant for each ordered pair in each table
[tex]k=\frac{y}{x}[/tex]
If all the values of k are equal, then the table represents a proportional relationship between the variable x and the variable y
Table 1
For x=1.5 lb, y=$4.50 ----> [tex]k=\frac{4.5}{1.50}=3[/tex]
For x=2 lb, y=$9.00 ----> [tex]k=\frac{9.00}{2}=4.5[/tex]
The values of k are different
therefore
The table not represent a proportional relationship
Table 2
For x=10 g, y=$0.50 ----> [tex]k=\frac{0.50}{10}=0.05[/tex]
For x=15 g, y=$0.55 ----> [tex]k=\frac{0.55}{15}=0.04[/tex]
The values of k are different
therefore
The table not represent a proportional relationship
Table 3
For x=0.5 Kg, y=$0.75 ----> [tex]k=\frac{0.75}{0.5}=1.5[/tex]
For x=5 g, y=$7.50 ----> [tex]k=\frac{7.50}{5}=1.5[/tex]
The values of k are equal
therefore
The table represent a proportional relationship
Table 4
For x=1 oz, y=$2.00 ----> [tex]k=\frac{2}{1}=2[/tex]
For x=2 lb, y=$4.00
Convert lb to oz
Remember that
1 lb=16 oz
so
2 lb=2(16)=32 oz
For x=32 lb, y=$4.00 ----> [tex]k=\frac{4}{32}=0.125[/tex]
The values of k are different
therefore
The table not represent a proportional relationship
A charitable organization packed 72 bags of rice, 48 blankets, and 24 cases of water equally in the boxes. Find the greatest possible number of boxes that the items can be packed into so that there are no leftovers.
Answer:
The greatest possible number of boxes that is needed to pack the items with no leftovers is 24.
Step-by-step explanation:
Given:
Number of rice bags = 72
Number of blankets =48
Number of water cases = 24
To Find :
The greatest possible number of boxes that the items can be packed into so that there are no leftover = ?
Solution:
we can find the greatest possible number of boxes that is required by finding the HCF(Highest common factor) of(24,48,72)
Finding the HCF (Highest common factor):
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
24 is the greatest common factor
Hence 24 will the number boxes required
МАЗА
$50 is invested biweekly in an
ordinary simple annuity, earning
3.5% interest per annum,
compounded biweekly. What will the
value of the annuity be in 10 years?
Answer:
The value of the annuity in 10 years will be US$ 15,552.90
Step-by-step explanation:
Let's use the ordinary simple annuity formula to calculate the value of the annuity in 10 years, this way:
FV = Future value of an annuity stream
PMT = Dollar amount of each annuity payment = US% 50
r = Interest rate = 3.5% compounded biweekly = 0.035/26
n = Number of periods in which payments will be made = 26 * 10 = 260
FV = PMT * [(1 + r)ⁿ − 1]/r
Now, replacing with the real values, we have:
FV = 50 * [(1 + 0.035/26)²⁶⁰ − 1]/(0.035/26)
FV = 50 * [(1.001346154)²⁶⁰ − 1]/0.001346154
FV = 50 * 0.41873217/0.001346154
FV = 50 * 311.058148
FV = 15,552.90
We only rounded the last product to the next cent, in all the other cases we used all the decimals for the calculations.
What is 2(5)+3(4)+5^2? (The ^ means the exponent)
What is 0.2(5x – 0.3) – 0.5(–1.1x + 4.2) simplified? 0.2 [5x + (–0.3)] + (–0.5)(–1.1x + 4.2) x – 2.16
The required simplified expression for 0.2(5x – 0.3) – 0.5(–1.1x + 4.2) is 1.55x - 2.16.
What is simplification ?
Simplification means reducing the expression in a simpler form using various operations. It eliminates unnecessary diversiry and variety.
The given expression is
0.2(5x – 0.3) – 0.5(–1.1x + 4.2)
or, 0.2 [5x + (–0.3)] + (–0.5)(–1.1x + 4.2) x – 2.16
Now,Let us expand the bracket-
0.2*5x - 0.2*0.3 - 0.5(-1.1x) - 0.5*4.2
Further,
x - 0.06 + 0.55x - 2.1
therefore,
x + 0.55x - 0.06 - 2.1
⇒ 1.55x - 2.16
Hence,the required simplified expression for 0.2(5x – 0.3) – 0.5(–1.1x + 4.2) is 1.55x - 2.16.
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Answer:
1.55 is the answer on edge
what is the answer to the factor equation of 12 1/3 subtract 5 2/3
Answer:
The answer to the factor expression is [tex]\frac{20}{3}[/tex]
Therefore [tex]12\frac{1}{3}-5\frac{2}{3}=\frac{20}{3}[/tex]
Step-by-step explanation:
Given that the factor expression is [tex]12\frac{1}{3}-5\frac{2}{3}[/tex]
Now convert the mixed fraction into improper fraction as below :
[tex]12\frac{1}{3}-5\frac{2}{3}=\frac{37}{3}-\frac{17}{3}[/tex]
[tex]=\frac{37-17}{3}[/tex]
[tex]=\frac{20}{3}[/tex]
Therefore [tex]12\frac{1}{3}-5\frac{2}{3}=\frac{20}{3}[/tex]
The answer to the factor expression is [tex]\frac{20}{3}[/tex]
Which expression is equivalent to –4.5 – 6.2y?
Answer:
-6.2y-4.5
Step-by-step explanation:
Answer:
The correct answer is A
Step-by-step explanation:
After transforming f(x) = 2x² +4x + 3 into vertex form, the vertex is easily identifiable. Which ordered pair is the vertex?
(-1, 1)
(0, 3)
(1, 1)
(-3, 0)
The vertex is [tex](-1,1)[/tex]
Explanation:
The equation is [tex]f(x)=2x^{2} +4x+3[/tex]
To find the vertex, we need the equation in the form of [tex]f(x)=a (x-h)^{2}+k[/tex]
Dividing each term by 2 in the equation [tex]f(x)=2x^{2} +4x+3[/tex]
[tex]f(x)=2(x^{2} +2x+\frac{3}{2} )[/tex]
Now, completing the square by adding and subtracting 1, we get,
[tex]f(x)=2(x^{2} +2x+1-1+\frac{3}{2} )[/tex]
The first three terms can be written as [tex](x+1)^{2}[/tex],
[tex]f(x)=2[(x+1)^{2}+\frac{1}{2} ][/tex]
Multiplying 2 into the bracket, we get,
[tex]f(x)=2(x+1)^{2} +1[/tex]
This equation is of the form [tex]f(x)=a (x-h)^{2}+k[/tex]
Now, we shall find the vertex [tex](h,k)[/tex]
Thus, [tex]h=-1[/tex] and [tex]k=1[/tex]
Thus, the vertex is [tex](-1,1)[/tex]
The length of a rectangle is 8 times it's width. The perimeter is 126 cm. What is the length of the rectangle?
Answer:
width: 7 cm
length: 56 cm
Step-by-step explanation:
Let:
x=width
8x=length
P=2l+2w
126=2x + 2(8x)
126=2x+16x
18x=126
x=7
width: 7 cm
length: 56 cm
hope this helps!!
a construction company is building a wall. the company can build 30 cm of the wall per minute. after 40 minutes 3/4 if the wall is completed. how many meters is the wall?
Answer:
This is a lengthy answer
Step-by-step explanation:
So contact me. Message me and I can explain to the fill extent
Final answer:
To find the total length of the wall, calculate the length built in 40 minutes (1200 cm) and divide by 3/4 to get the full length of 1600 cm, which is equivalent to 16 meters.
Explanation:
The question is asking us to determine the total length of the wall that a construction company is building, given that 3/4 of the wall is built in 40 minutes at a rate of 30 cm per minute. First, let's calculate the length of the wall built in 40 minutes:
Length built in 40 minutes = 40 minutes × 30 cm/minute = 1200 cmSince 1200 cm represents 3/4 of the wall, the full wall is:Full length = 1200 cm ÷ (3/4) = 1200 cm ÷ 0.75 = 1600 cmTo convert centimeters to meters: 1600 cm × (1 meter / 100 cm) = 16 metersThe total length of the wall is 16 meters.
Graph the line that represents a proportional relationship between y and x where the unit rate of change of y with respect to x xx is 0.4. point, 4, point In other words, a change of 1 unit in x corresponds to a change of 0.4, point, 4 units in y.
Answer:
The graph is attached.
Step-by-step explanation:
The graph of the line with the slope [tex]m[/tex] and the y-intercept [tex]b[/tex], has the form
[tex]y=mx+b[/tex]
In our case the rate of change [tex]m[/tex] is [tex]0.4[/tex]; therefore we have the equation
[tex]y=0.4x[/tex]
The graph of which is attached.
P.S: we have set [tex]b=0[/tex] by default, because we are not given any information for it.
The line that represents a proportional relationship between y and x where the unit rate of change (or slope) is 0.4 can be plotted on a graph. Start from the origin and for each increase of 1 in x, y increases by 0.4. Plot these points and draw a straight line which represents this proportional relationship.
Explanation:To graph the line that represents a proportional relationship between y and x where the unit rate of change of y with respect to x is 0.4, you can start by creating a plot with an x- and y-axis. The y-axis represents the dependent variable and the x-axis represents the independent variable.
In this case, we're looking at a linear relationship, which means the line produced on the graph will be straight. This kind of straight-line graph typically uses the equation y = mx, where m is the slope (or unit rate of change) and x is the independent variable.
For this graph, the slope or unit rate of change is 0.4. This means that with every increase of 1 in x, y increases by 0.4. Plot some points on the graph starting from the origin (0,0). If x is 1, y will be 0.4 (1*0.4). If x is 2, y will be 0.8 (2*0.4). Keep plotting these points and connect them to draw the line. This line demonstrates the proportional relationship between x and y.
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This problem gives you the chance to:
• work with graphs and equations of linear and non-linear functions
On the grid are eight points from two different functions.
• four points fit a linear function
the other four points fit a non-linear function.
For the linear function:
1. Write the coordinate pairs of its four points.
4,5
S3
2
3
4
5
6
7
8
Draw the line on the grid.
2. Write an equation for the function.
Show your work
Answer: try this hi i am in four
(Full question above)
The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it. Find the volume of the solid in cubic millimeters.
A.60
B.300
C.540
D.780
The volume of the solid is 540 mm
Step-by-step explanation:
The volume a rectangular prism is calculated as the product of its length, width and height.
Mathematically, V=l*w*h where l is length of the prism, w is width and h is the height
Given that the dimensions of the rectangular prism as;
Length=15 mm
Width= 6 mm
Height = 6 mm
V=15*6*6= 540 mm
If this is the best answer please mark brainilest. Have a great day, hope this helps!
Lola has 62 stamps in her collection,
Anita has 15 stamps fewer than Lola.
How many stamps does Anita have?
Answer:
47 stamps
Step-by-step explanation:
You just have to subtract 15 from 62 so it looks like this: 62-15=47
A new pencil is 19 centimeters long. Levi uses it for a month. The pencil now measures 8 centimeters.
The pencil is centimeters shorter now than when it was new.
Final answer:
The pencil is 11 centimeters shorter now than when it was new, which is determined by subtracting the current length (8 centimeters) from the original length (19 centimeters).
Explanation:
The subject of this question is Mathematics. The question involves calculating the length by which a pencil has become shorter, which is a basic arithmetic problem dealing with subtraction.
To find how much shorter the pencil is now compared to when it was new, we subtract the current length of the pencil from its original length. Given that the new pencil was 19 centimeters long and now measures 8 centimeters, the calculation would be:
Original length - Current length = Length difference
19 cm - 8 cm = 11 cm
Therefore, the pencil is 11 centimeters shorter now than when it was new.
The unit of measurement is particularly important here to provide clarity and accuracy to the measurement. For example, while measuring the length of a classroom, you might use meters or feet, but for small objects like a pencil, centimeters or inches are more appropriate.
which of the following choices are the angle and side lengths of the given triangle
Answer:
The correct answer is D. 30°, 60°, 90°; 1, √3, 2
Step-by-step explanation:
Let's find out the solution to this question:
Arc cos (β) = √3/2 = 1.732/2 = 0.866
β = 30°
Let's recall that the ratio of the sides of a triangle 90 - 60 - 30 is:
1 : 2 : √3
β = 30°, α = 60°, r = 2, h = 1, k = √3
The correct answer is D. 30°, 60°, 90°; 1, √3, 2
I WILL GIVE BRAINLIEST
Answer:
- 6
Step-by-step explanation:
its negative so I divided —12 by 2 to get -6 also You have to get the F by itself so you have to divide the sides by 2 but bringing the negative is important
A dean polled the sophomore class about their intended majors, then created this graph based on the data.
Which of the following statements is true about the students' intended majors?
A. Fewer students intend to major in Foreign Language than intend to major in Social Science.
B.More students intend to major in Foreign Language than intend to major in Math/Computer Science and Social Science combined.
C.Social Science and Math/Computer Science (CS) combined represent about
of the intended majors.
D.Science and Social Science combined represent half the intended majors.
Answer:
C & D
Step-by-step explanation:
Social Science and Math/CS do represent 1/4 of the total majors.
Furthermore, Science and Social Sciences represent half of the majors.
Therefore, C & D are true.
Combining Science and Social Science represent half the intend majors. Therefore, option D is the correct answer.
Given that, a dean polled the sophomore class about their intended majors, then created this graph based on the data.
What is pie chart?A pie chart is a type of a chart that visually displays data in a circular graph. It is one of the most commonly used graphs to represent data using the attributes of circles, spheres, and angular data to represent real-world information.
From the given pie chart,
More students intend to majors in science
Less students intend to majors in Maths/CS
1/4 of students intend to major in other subjects.
Combining Science and Social Science represent half the intend majors. Therefore, option D is the correct answer.
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M and N are independent events. P(M | N) = 0.71. Find P(M)
Since M and N are independent events, [tex]P(M)=P(M|N)=0.71[/tex]
Step-by-step explanation:
Two events A and B are said to be independent when the probability of A happening does not depend on whether B has happened or not.
In other word, this condition can be rewrite as follows:
[tex]P(A|B)=P(A)[/tex]
where
[tex]P(A|B)[/tex] is the probability of A happening given that B has happened
[tex]P(A)[/tex] is the probability of A happening
In this problem, we have:
- M and N are independent events: so M does not depend on whether N occurs or not
Therefore,
[tex]P(M)=P(M|N)[/tex]
- Also, we know that
[tex]P(M|N)=0.71[/tex]
Therefore, it follows that
[tex]P(M)=0.71[/tex]
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What slope does a horizontal line have?
Answer:
Step-by-step explanation:
Horizontal
Answer:
slope = 0
Step-by-step explanation:
A horizontal line is parallel to the x- axis.
Since the x- axis has a slope of zero then the slope of a horizontal line is 0
List the next four multiples of the unit fraction 1/8
Answer:2/16 4/32 8/64 16/4,096
Step-by-step explanation:what you do is multiply 2and4
What is the equivalent expression to 3(x-5)
Answer: x = 5
Step-by-step explanation:
multiply the outside number to both numbers in parenthesis
3x-15 divide
find out how many time 3 goes into 15 and divide
three divided by fifteen equals five
Final answer:
The equivalent expression to 3(x-5) is 3x - 15, which is found by applying the distributive property of multiplication over subtraction.
Explanation:
The question asks for an expression equivalent to 3(x-5). To find an equivalent expression, we need to apply the distributive property of multiplication over subtraction. This means we will multiply the number 3 by each term inside the parentheses.
Here's the step-by-step process:
Multiply 3 by x to get 3x.
Multiply 3 by -5 to get -15.
Combine these two products to get the equivalent expression, which is 3x - 15.
Therefore, the equivalent expression to 3(x-5) is 3x - 15.
Three lattice points (points with integer coordinates) are chosen at random with replacement (meaning you can select the same point more than once) in the interior of the square defined by $-99 \le x \le 100$ and also $-99 \le y \le 100$. The probability that the area of the triangle thus formed (which may be degenerate) is an integer can be expressed in the form $m/n$, where $m$ and $n$ are relatively prime positive integers. Find $m + n$.
This is a combinatorial geometry problem involving the probability of forming a triangle with an integer area from randomly selected lattice points within a square grid. It requires analyzing the properties of lattice point triangles and applying combinatorial mathematics.
Explanation:The problem given discusses the selection of random points within a square on a coordinate system to form a triangle, and it questions the probability of the triangle's area being an integer. This involves combinatorics, geometry, and number theory within the field of mathematics. To approach the problem of calculating the probability that the area is an integer, one must consider the distribution of lattice points and use combinatorial analysis.
Area of a triangle with vertices at lattice points can be expressed using the formula derived from the determinant of a matrix. The triangle's area, if non-degenerate, can be half of the odd integer, which upon doubling to remove the half, leaves an integer area. Thus, the problem reduces to a combinatorial question concerning lattice points, selected at random, and forming a triangle whose twice the area is an odd integer.
However, a direct count of the favorable vs. total possibilities may be complex due to the large number of possible point combinations and the chance of degenerate triangles (where the area is zero). Thus, a systematic probabilistic and combinatorial approach is necessary to resolve this question, likely involving a careful analysis of the geometric configurations and properties of integer triangles on a lattice grid.
What is mZLQK ?
Enter your answer in the box.
Dº
Answer:
45
Step-by-step explanation:
The sum of angle in a straight line is 180
=> 3n + (4n - 15) + 90 = 180
3n + 4n + 75 = 180
7n = 180 - 75 = 105
n = 15
Angle ZLQK = 4n - 15 = 4*15 - 15 = 60 - 15 = 45
What is the answer to both of these questions? Please help
Answer:
28) 120 x 20y
30) 3w x 36
Step-by-step explanation:
28) 20 x (6 x y)
20 x 6 = 120
y x 20 = 20 y
120 x 20y
30) (w x 12) x 3
3 x w = 3w
12 x 3 = 36
3w x 36
Answer:
120 x 20y 3w x 36
Step-by-step explanation:
Distributive Property
GEOMETRY-20 POINTS-ANSWER ASAP
i have zero clue what im doing (obviously by the wrong answer) can anyone explain how to do this?? |
|
Answer:
tan(F) = z/(2y)
Step-by-step explanation:
Make use of the similarity relationship to find the side necessary to compute the tangent. Then make use of the tangent definition.*
__
The two triangles are given as being similar. That means corresponding sides have the same ratios:
EF/AC = ED/AB
ED = AB·(EF/AC) = 4z(x/(8x)) = (4/8)z = z/2
The mnemonic SOH CAH TOA reminds you that the tangent relationship is ...
Tan = Opposite/Adjacent
tan(F) = ED/DF = (z/2)/y
tan(F) = z/(2y)
_____
* Actually, you need to do this in reverse order: first you need to determine if you have all the necessary information to answer the question. You don't.
You need to know the length of side ED in terms of z. You notice that the corresponding side in similar triangle ABC has its length marked as a function of z, so all you need to find ED is the scale factor between the two triangles.
Since both hypotenuses are marked in terms of x, the scale factor is easily found.
3.) Write an equation of a line that has a negative slope and goes through the y-axis at -5.
Answer:
y = -x -5
Step-by-step explanation:
The -x (i.e., multiplication of x by -1) gives the line a slope of -1. The -5 translates the line down to cross the y-axis at -5.
An adventure game has a number cube with 12 equal-size faces. Each face is labeled with a number from 1 to 12.
What is the probability of rolling a 4 or a multiple of 5?
Enter your answer as a fraction, in simplified form, in the box.
Need the exact answer.
The probability of getting the number 4 and the multiple of 5 is 1 / 4.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of samples
Given that an adventure game has a number cube with 12 equal-size faces. Each face is labelled with a number from 1 to 12.
The probability will be calculated as:-
Number of favourable outcomes = { 4, 5 , 10 } = 3
Number of samples = 12
Probability = 3 / 12
Probability = 1 / 4
Therefore, the probability of getting the number 4 and the multiple of 5 is 1 / 4.
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