Write 3 ratios equivalent to 2/5
Answer:
4/10, 6/15, 8/20
Step-by-step explanation:
PLEASE HELP (WILL GIVE BRAINLIEST)
Answer:
\( \sqrt{ {13.5}^{2} - {8.6}^{2} } = \sqrt{108.29} = 7 \sqrt{2.21} = \frac{7}{10} \sqrt{221} \)
V = (1/2)(8.6)(.7√221)(22.4) = 1,002.33 square meters
The closest answer is 1,001.73 square meters.
Can you please help me solve this step by step?
Answer:
2/3
Step-by-step explanation:
\(2 \frac{1}{4} : \frac{1}{2}\) = \(\frac{9}{4} : \frac{1}{2}\)
\(\frac{\frac{9}{4} }{\frac{1}{2} }\) = \(\frac{3}{x}\)
3 * 1/2 = 9/4x
3/2 = 9/4 x
x = 3/2 ÷ 9/4 = 3/2 * 4/9 = 12/18 = 6/9 = 2/3
For a school fundraiser, Mai will make school spirit bracelets. She will order bead wiring and alphabet beads to create the school name on the bracelets. Mai must spend $250 on wire and $5.30 per bracelet for beads. What is the maximum number of bracelets Mai can make with a budget of $1,500?
A.234
B.235
C.236
D.250
Loading...
Step-by-step explanation:
The maximum number of bracelets Mai can make with a budget of $1,500 are, 235
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
For a school fundraiser, Mai will make school spirit bracelets.
And, Mai must spend $250 on wire and $5.30 per bracelet for beads.
Let maximum number of bracelets Mai can make with a budget of $1,500 are = x
Hence, We can formulate;
250 + 5.30x ≤ 1500
5.30x ≤ 1500 - 250
5.30x ≤ 1250
x ≤ 235.84
x = 235
Hence, The maximum number of bracelets Mai can make with a budget of $1,500 are, 235
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James Kamau stocks and sells cabbages, oranges and mangoes in his grocery at Kitengela market. On Monday last week, he sold 55 cabbages, 100 oranges and 95 mangoes making a total sale of sh. 1,625. On Tuesday, he sold 60 cabbages, 120 oranges and 80 mangoes making a total sale of sh. 1,580. On Wednesday, he sold 75 cabbages, 150 oranges and 120 mangoes making a total sale of sh. 2,175. He buys these items from a distributor at sh.3, sh.2 and sh.6 for a cabbage, an orange and a mango respectively. Required: a) Three simultaneous equations connecting the number of units sold and total sales. (3 Marks) b) The selling price for each. (9 Marks) c) The profit that James Kamau made on each of the three days and his total profits.
a) Let x, y, and z be the selling price of one cabbage, one orange, and one mango, respectively.
From the given data, we can write three simultaneous equations:
Monday: 55x + 100y + 95z = 1625
Tuesday: 60x + 120y + 80z = 1580
Wednesday: 75x + 150y + 120z = 2175
b) To find the selling price of each item, we need to solve the system of equations. We can use any method of solving systems of equations, such as substitution or elimination. Here, we will use the elimination method.
Multiplying the first equation by 6, the second equation by -5, and the third equation by 3, we get:
Monday: 330x + 600y + 570z = 9750
Tuesday: -300x - 600y - 400z = -7900
Wednesday: 225x + 450y + 360z = 6525
Adding all three equations, we get:
255x + 450y + 530z = 8385
Dividing both sides by 5, we get:
51x + 90y + 106z = 1677
Now we can use this equation and any of the original equations to solve for one of the variables. Let's use the first equation:
55x + 100y + 95z = 1625
Multiplying both sides by 106 and subtracting 530 times the first equation from it, we get:
76x + 45z = 43
Solving for x, we get:
x = (43 - 45z)/76
Now we can substitute this value of x into any of the previous equations to solve for y and z. Let's use the third equation:
75x + 150y + 120z = 2175
Substituting x, we get:
75[(43-45z)/76] + 150y + 120z = 2175
Simplifying, we get:
43z/2 - 375/2 + 150y = 825
Solving for y, we get:
y = (825 - 43z/2 + 375/2)/150
Now we can substitute the values of x and y into any of the previous equations to solve for z. Let's use the second equation:
60x + 120y + 80z = 1580
Substituting x and y, we get:
60[(43-45z)/76] + 120[(825-43z/2+375/2)/150] + 80z = 1580
Simplifying, we get:
z = 4.6
Substituting z into the equation for y, we get:
y = 3.45
Substituting z and y into the equation for x, we get:
x = 1.5
Therefore, the selling price for one cabbage is sh. 1.5, for one orange is sh. 3.45, and for one mango is sh. 4.6.
c) The profit that James Kamau made on each of the three days and his total profits:
To calculate the profit, we need to subtract the cost of the items from the revenue generated by selling them.
On Monday:
Cost of cabbages = 55 x 3 = 165 shillings
Cost of oranges = 100 x 2 = 200 shillings
Cost of mangoes = 95 x 6 = 570 shillings
Total cost = 935 shillings
Revenue = 1625 shillings
Profit = Revenue - Cost = 1625 - 935 = 690 shillings
On Tuesday:
Cost of cabbages = 60 x 3 = 180 shillings
Cost of oranges = 120 x 2 = 240 shillings
Cost of mangoes = 80 x 6 = 480 shillings
Total cost = 900 shillings
Revenue = 1580 shillings
Profit = Revenue - Cost = 1580 - 900 = 680 shillings
On Wednesday:
Cost of cabbages = 75 x 3 = 225 shillings
Cost of oranges = 150 x 2 = 300 shillings
Cost of mangoes = 120 x 6 = 720 shillings
Total cost = 1245 shillings
Revenue = 2175 shillings
Profit = Revenue - Cost = 2175 - 1245 = 930 shillings
Total profit over three days:
Profit on Monday + Profit on Tuesday + Profit on Wednesday = 690 + 680 + 930 = 2300 shillings
Therefore, James Kamau made a profit of 690 shillings on Monday, 680 shillings on Tuesday and 930 shillings on Wednesday, with a total profit of 2300 shillings over the three days.
If the image is rotated about the x-axis, which of the following images best represents the result?
A. Y
B. Z
C. X
D. W
The images best represents the result is image W.
We have, the image is rotated about the x-axis.
Now, rotating around x axis can give the other half of the image.
Also, rotating about x axis gives the mirror image of the figure.
So, the rotation leads to a circle.
and, In three dimensional we can say that Sphere.
Thus, the required image is W.
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Suppose $600 is deposited into an account every quarter. The account earns 5% interest, compounded quarterly. What is the future value of the account
after 5 years?
Answer:
$13,537.79
Step-by-step explanation:
The future value of the account after 5 years will be 762 dollars.
What is compound interest ?Compound interest is calculated for the principle borrowed as well as previous interest accumulated.
According to the given question 600 dollar is deposited in an account at 5 % interest compounded quarterly for 5 years.
Given, Principle(P) = 600, Rate(r) = 5 %, Time in years(n) = 5.
We know the formula for Amount(A) compounded quarterly is
A = P[ 1 + (r/4)/100)]⁴ⁿ.
A = 600[ 1 + (5/4)/100]⁴ⁿ.
A = 600[ 1 + 1.2/100]⁴ˣ⁵
A = 600[ 1 + 0.012]²⁰.
A = 600[ 1.012]²⁰.
A = 600(1.27).
A = 762 dollars.
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a bag contains four types of coins. The probability of drawing a penny, nickel and dime is shown below. What is the probability of drawing a single coin that has a value of at least $.10?
Using probability we know that we have full probability or 1 that we will draw a coin that will have ethe value of at least $0.10.
What is probability?A probability is a numerical representation of the likelihood or chance that a specific occurrence will take place.
Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Simply put, probability is the likelihood that something will occur.
When we don't know how an occurrence will turn out, we can discuss the likelihood or likelihood of various outcomes.
So, we have the chart:
Penny = 2/5 = 0.4
Nickel = 1/5 = 0.2
Dime = 1/4 = 0.25
Then, the probability of getting a value of at least $0.10
P(E) = 3/3
P(E) = 1
Therefore, using probability we know that we have full probability or 1 that we will draw a coin that will have ethe value of at least $0.10.
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Please help!! Will give brainliest
f(x)=3/\(4\sqrt{x}\) evaluate function f ' (3) = \(-1/4.3 root 1/4\)
f(x)=3/\(4\sqrt{x}\) evaluate function f ' (7)= \(-3/4.7root5/4\)
How is a function evaluated?
Finding the value of f(x) =... or y =... that corresponds to a certain value of x is what it means to evaluate a function. Simply swap out all instances of x with the value of x to do this. For instance, x has been given the value 4 if we are asked to evaluate f(4).
root function illustration
F(x)=x f (x) = x is the square root function. The formula for the cube root is f(x)=3xf(x)=x3. A function that is defined by a radical expression is known as a radical function.
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S={(3,p),(3,0),(4,q),(1,4)}
Answer:
S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:
(3,p): The first element is 3 and the second element is p.
(3,0): The first element is 3 and the second element is 0.
(4,q): The first element is 4 and the second element is q.
(1,4): The first element is 1 and the second element is 4.
Can y’all pls answer both questions
The number of times of Puerto Rico is 5/6
No earthquake released 10³ of Colombia
How to determine the number of timesFrom the question, we have the following parameters that can be used in our computation:
The table of values
On the table of values, we have
Colombia = 6.0M
Puerto Rico = 5.0M
This means that
Number of times = Puerto Rico/Colombia
Substitute the known values in the above equation, so, we have the following representation
Number of times = 5/6
The earthquake that released 10³ of ColombiaHere, we have
Colombia = 6.0M
So, we have
Earthquake = Colombia * 10³
This gives
Earthquake = 6 * 10³
From the table of values, we have no entries with the readings 6 * 10³
Hence, no earthquake released 10³ of Colombia
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Point M is the midpoint of segment AB.
AM=3x+40 and MB=x^2. Find x and AB
\(\text{Hello there! :)}\)
\(x = 8\\\\AB = 128 \text{ units}\)
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
\(\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\\)
\(\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\\)
\(\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40\)
\(\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8\)
\(\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8\)
\(\text{Substitute in this value of x into either AM or MB to solve for AB:}\)
\(AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}\)
In a class of 30 pupils the ratio of left-handed pupils to right-handed pupils is 1:9.
How many pupils are right-handed?
Step-by-step explanation:
Pupils are right-handed: 30:10x9=27
You buy a new laptop for $300.
The sales tax is 6%.
What is the total cost for the laptop including the sales tax?
Answer:
$318
Step-by-step explanation:
since sales tax is 6%, multiply 300 by 1.06 to find the total cost
Answer:
use socratic it get my grades A+
It is given that f(x) =1/x³, for x > 0. Show that f is a decreasing function.
The function f(x) = 1/x³ is indeed a decreasing function for x > 0.
To show that the function f(x) = 1/x³ is a decreasing function, we need to demonstrate that the derivative of f(x) is negative for all x > 0.
Let's calculate the derivative of f(x) with respect to x:
f'(x) = d/dx (1/x³)
Using the power rule for differentiation, we can rewrite the expression as:
\(f'(x) = (-3) / x^{(3+1)\)
Simplifying further, we have:
f'(x) = -3 / x⁴
Now, to show that f(x) is decreasing, we need to prove that f'(x) < 0 for all x > 0.
Substituting x = 1 in f'(x), we get:
f'(1) = -3 / 1⁴ = -3
Since -3 is negative, we can conclude that f'(x) < 0 for all x > 0.
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The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
You are given the 4 x 4 grid below.
(a) Find the number of ways of placing 8 counters in the squares (at most one counter per square), so that each row contains exactly two counters.
(b) Find the number of ways of placing 12 counters in the squares (at most one counter per square), so that each column contains exactly three counters.
Using combination, the number of ways of placing 8 counters in the square is 12 ways and the number of ways of placing 12 counters in the square is 8 ways
What is the number of ways of placing 8 counters in the squarea) To place 8 counters in the 4 x 4 grid, with exactly two counters in each row, we can first choose the two columns in the first row that will have counters. Using combination, there are {4 C 2} = 6 ways to do this. Then, we choose the two columns in the second row that will have counters, but we need to make sure that these columns are not the same as the ones chosen in the first row. There are only two columns left to choose from, so there are only two ways to do this. Similarly, we choose the two columns in the third row that will have counters, making sure that they are different from the columns chosen in the first two rows. There is only one column left to choose from, so there is only one way to do this. Finally, the columns for the fourth row are uniquely determined. Therefore, the total number of ways to place 8 counters in the grid with exactly two counters in each row is:
6 * 2 = 12
(b) To place 12 counters in the 4 x 4 grid, with exactly three counters in each column, we can start by choosing the three rows that will have counters in the first column. Using combination, there are {4 C3} = 4 ways to do this. Then, we choose the three rows that will have counters in the second column, but we need to make sure that these rows are not the same as the ones chosen for the first column. There are only two rows left to choose from, so there are only two ways to do this. Similarly, we choose the three rows that will have counters in the third column, making sure that they are different from the rows chosen for the first two columns. There is only one row left to choose from, so there is only one way to do this. Finally, the rows for the fourth column are uniquely determined. Therefore, the total number of ways to place 12 counters in the grid with exactly three counters in each column is:
4 * 2 = 8
Thus, there are 12 ways to place 8 counters in the grid with exactly two counters in each row, and 8 ways to place 12 counters in the grid with exactly three counters in each column.
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Of the 32 students in Joe's class, 8 students ride their bikes to school, 5 walk to school, 4 get a ride to school in a car, and 15 take the bus to school. What is the experimental probability of choosing a student who walks to school?
The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.
Given data ,
The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.
Number of students who walk to school = 5
Total number of students in the class = 32
Experimental probability = Number of students who walk to school / Total number of students
= 5 / 32
P = 0.15625
Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.
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if it costs $4 to make 3 cards, and $6 to make 7 cards, what's the total cost of making 25 cards?
Answer:
Step-by-step explanation:
7+3 = 10 $4+$6=$10
so it costs 10 dollars to make ten cards, how many times does 10 go into 25? 2
so $20 so far, I'm not that good at explaining.
Now with the remaining 5 cards that we have to make, we add three and have 24$ for 23 cards. Now with the remaining two cards we add $1.50.
because 2 x 1.50 = 3
so $25.50 for 25 cards I think...
I really hope I'm right and I hope this helps!
The following are the weights of 10 young dogs, in pounds: 7,5, 11, 8, 14, 19, 16, 15, 13, 27 Find the sample variance (round off to first decimal place).
the Sample variance is. \($s^2\)=41.4
Sample variance can be defined as the expectation of the squared difference of data points from the mean of the data set. It is an absolute measure of dispersion and is used to check the deviation of data points with respect to the data's average.
Sample variance is used to measure the spread of the data points in a given data set around the mean. All observations of a group are known as the population. When the number of observations start increasing it becomes difficult to calculate the variance of the population. In such a situation, a certain number of observations are picked out that can be used to describe the entire group. This specific set of observations form a sample and the variance so calculated is the sample variance.
the weights of 10 dogs in pounds 7,5,11,8,14,19,16,15,13,27
Sample size, \($n=10$\)
Sample mean
\(\begin{aligned}\bar{x}=\frac{\sum x}{n} & =\frac{7+5+11+8+14+19+16+15+13+27}{10} \\& =\frac{135}{10}=13.5\end{aligned}$$\)
Sample Variance
\(\begin{aligned}& \begin{array}{r}\text { } \\\left(s^2\right)\end{array} \frac{1}{n-1} \sum_{i=1}^n\left(x_i-\bar{x}\right)^2 \\& =\frac{1}{10-1}\left[(7-13.5)^2+(5-13.5)^2+(11-13 \cdot 5)^2+(8-13.5)^2+(14-13 \cdot 5)^2+\right. \\& (19-13 \cdot 5)^2+(16-13 \cdot 5)^2+(15-13 \cdot 5)^2+(13-13 \cdot 5)^2+(27-13.5)^2 \\& =\frac{1}{9}[42.25+72.25+6.25+30.25+0.25+30.25+6.25+2.25+ \\& 0.25+182.25 \text { ] } \\& =\frac{1}{9}[372.5] \\& =41.38888889 \approx 41.4 \\&\end{aligned}\)
Therefore, the Sample variance is. \($s^2\)=41.4
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Makesha lost 58.5 pounds in 18 weeks. Find her rate of loss in pounds per week.
Given the individual rates of workers, to find the combined rate of all the individuals working together you must
the individual rates.
Fill in the blank
To find the combined rate of all the individuals working together, you must add the individual rates.
How to calculate combined rate of individuals working together?When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.
This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.
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I need to evaluate the limit and I also need to show the work for it. Please help me out if you can.
Answer:
-6
Step-by-step explanation:
You can solve all math problems via Photo math application, you can download it from the store for free, it is easy to write the question via the camera and quickly display the final result with the solution steps.
x2+10x+=()2
step by step
The value of the expression x² + 10x, when x = 2 is 24.
In the expression x² + 10x, x represents a variable, which is a placeholder for a value that can change. We are given that x = 2, which means we substitute 2 for x in the expression:
x² + 10x = 2² + 10(2)
Here, 2² means 2 raised to the power of 2, which is 2 multiplied by itself: 2² = 2 x 2 = 4.
10(2) means 10 multiplied by 2, which is 20.
So we can substitute these values in the expression:
x² + 10x = 2² + 10(2)
= 4 + 20
= 24
Therefore, when x is equal to 2, the value of the expression x² + 10x is 24.
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The complete question:
Evaluate the expression x² + 10x, when x = 2.
42% of jacksons halloween candy from last year was chocolate. what fraction of his candy's chocolate
Answer:
21/50
Step-by-step explanation:
Given that Jackson's sweets from last Halloween from last year was 42% chocolate, we can assume he had a total of 100 sweets.
Out of 100 sweets, 42 pieces are chocolate, so:
42/100
When simplifying this fraction into its simplest form, the most you can do is divide the numerator(top) and denominator(bottom) by 2.
Your result would be 21/50
Hope this helps!
Enter the number that belongs in the green box. 4 51° 109°
The answer choice which belongs in the green box and is the longest side of the triangle as required is; 11.06.
What is the length of the longest side?It follows from the task content that since the sum of angles in a triangle is; 180°, the missing angle measure is; 180 - 51 - 109° = 20°.
Consequently, it follows from the sine law that;
4 / sin 20° = x / sin 109°
x = 4 sin 109° / sin 20°
x = 11.06.
Ultimately, the number that belongs in the green box is; 11.06.
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100 points!!! Pls help 9 + 10y = 21. What is the value of Y?
Answer:
1.2
Step-by-step explanation:
9+10y=21
Subtract 9 from both sides:
10y=21-9=12
Divide both sides by 10 to isolate y:
y=1.2
Hope this helps!
Answer:
y = 6/5 = 1 1/5 = 1.2
Step-by-step explanation:
9 + 10y = 21
Subtract 9 from each side
9-9 + 10y = 21-9
10 y = 12
Divide each side by 10
10y/10 = 12/10
y = 6/5
y = 1.2
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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Write the equation of the scenario.
Tony's father is thinking of buying his son a six-month movie pass for $40. With the
pass, movies cost $3.00 each.
A y = 30+4x
B y = 40+ 3x
C y= 3 + 40x
D y=4 + 30x
IM IN A HURRY
convert 72.1 feet into centimeters
In order to convert 72.1 feet into centimeters we would have to make the following calculation:
1 feet is equal to 30.48 centimeters
Therefore applying the rule of 3 we would be able to convert 72.1 into centimeters as follows:
if 1 feet______________________30.48 centimeters
72.1 feet_____________________x
x=72.1 feet*30.48 centimeters
x=2,197.608 centimeters
Therefore, 72.1 feet is 2,197.608 centimeters