HELP QUICK PLS!!
A zoo feeds it’s monkeys a mixture of fruits and biscuits. The diagram shows the ratio of fruit mass to biscuit mass.
The table below shows the mass, in grams, of fruit and biscuits that the zoo fed two of the monkeys.
Based on the ratio, complete the missing value in the tables.
Answers
The mass of the biscuit and fruit are 20 and 64 grams respectively.
How to use ratio to find the missing values in the tables?A ratio indicates how many times one number contains another.
Therefore, the ratio of fruits and biscuit the zoo fed the monkeys is 7:5.
let's find the total number of the items.
Hence, using the table and ratio,
number of fruits = 7 / 12 × x
number of fruits = 28
Therefore,
28 = 7x / 12
cross multiply
12 × 28 = 7x
336 = 7x
divide both sides by 7
336 / 7 = 7x / 7
x = 48
Hence,
mass of biscuit = 5 / 12 × 48
mass of biscuit = 20
The second missing value of the table,
mass of biscuit = 5 / 12 × x
45 = 5x / 12
5x = 504
x = 504 / 5
x = 108
Hence,
mass of fruit = 7 / 12 × 108
mass of fruit = 756 / 12
mass of fruit = 63
Therefore, the mass of the biscuit and fruit are 20 and 64 grams respectively.
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Answer:yes
Step-by-step explanation:fact
Related Questions
What does 500x235 equal?
Answers
Answer:
\(117500\)
Step-by-step explanation:
\(500 \times 235=100\times (5\times 235)=1175 \times 100=117500\)
Answer: 117,500
Step-by-step explanation: 500 x 235 = 117,500
1. 5 - 3/8
2. 2 2/ 3 - 1 1/8
3. 9 - 1/4
4. 4 1/3 - 2 1/6
I WILL GIVE BRAINLIEST AWNSER ALL PLS
Answers
1. 4.625
2. 0.708
3. 8.75
4. -3.16
Hope it helps~
In Q.2 is it 22/3-11/8 or 2/3-11/8?
In Q.4 is it 41/3-21/6 or 1/3-21/6?
Answer:
1. 0.25
2. -0.458333...
3. 2
4. -1.2222...
Step-by-step explanation:
Find the mean for the data set. 6, 14, 7, 4, 12, 8, 13, 4, 18, 14
Answers
Answer:
Concept:
Mean is just another name for average. To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean!
The values are given below as
\(6,14,7,4,12,8,13,4,18,14\)The image below shows how to calculate the mean
By substituting values, we will have
\(\begin{gathered} \bar{x}=\frac{\sum ^{}_{n\mathop=0}x}{n} \\ n=10 \end{gathered}\)\(\begin{gathered} \bar{x}=\frac{6+14+7+4+12+8+13+4+18+14}{10} \\ \bar{x}=\frac{100}{10} \\ \bar{x}=10 \end{gathered}\)Hence,
The mean = 10
To calculate the variance, we will use the formula below
\(^{}\sigma^2=\frac{\sum ^{\infty}_{n\mathop=0}(x-\bar{x})^2}{n}\)\(\begin{gathered} \sigma^2=\frac{\sum ^{\infty}_{n\mathop{=}0}(x-\bar{x})^2}{n} \\ (x-\bar{x})^2=(6-10)^2+(14-10)^2+(7-10)^2+(4-10)^2+(12-10)^2+(8-10)^2+(13-10)^2+(4-10)^2+(18-10)^2+(14-10)^2 \\ (x-\bar{x})^2=16+16+9+36+4+4+9+36+64+16 \\ (x-\bar{x})^2=210 \end{gathered}\)\(\begin{gathered} \sigma^2=\frac{\sum ^{\infty}_{n\mathop{=}0}(x-\bar{x})^2}{n} \\ \sigma^2=\frac{210}{10} \\ \sigma^2=\frac{210}{10} \\ \sigma^2=21 \end{gathered}\)Hence
The variance = 21
To calculate the standard deviation,
\(\begin{gathered} \sigma=\sqrt[]{variance} \\ \sigma=\sqrt[]{21} \\ \sigma=4.58 \end{gathered}\)Hence,
The standard deviation is = 4.58
Help Fast! I will rate
Answers
Answer: The eldest child received $465,000, the middle child received $13,000, and the youngest received $93,000.
Step-by-step explanation: Subtracting $13,000 from $571,09 leaves the youngest and eldest’s money, $558,000. Dividing the amount left by 6 gives you the youngest siblings check and a total of $93,000. To find how much the eldest receives, you subtract $93,000 from $558,000 leaving the eldest $465,000.
Write down the next two numbers in the sequence.
81, 64, 47, 30, ___, ___
Answers
Answer:
81, 64, 47, 30, 13, -4
Answer:
The next two numbers are 13 and -4.
Step-by-step explanation:
We are subtracting 17 each time.
30 - 17 = 13
13 - 17 = -4
Calculate the ionic activity coefficient of lead iodide (Pb I2) ,if its concentration is 2M
Answers
The ionic activity coefficient, γ, of lead iodide (Pb I2) ,if its concentration is 2M is 0.190
How to determine the ionic activity coefficientTo determine the ionic activity coefficient , we have to add up the value of each ion's concentration (C) multiplied by the square of its charge (z).
Lead iodide consists of one Pb2+ ion and two I- ions, all possessing an equal charge of 1.
Ionic strength (I) = 0.5 ×[(2 × 1²) + (2 ×(-1)²)]
= 0.5 ×(2 + 2)
= 0.5(4)
= 2
Using the Debye-Hückel equation, we have the formula as;
log γ = -0.509 × √I
Substitute the value of ionic strength
log γ = -0.509 × √2
Find the square root, we get;
log γ = -0.509 × 1.414
log γ = -0.719
Then, we get;
γ = \(10^(^-^0^.^7^1^9^)^\)
γ = 0.190
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Which direction is the pre-imaged rotating
Answers
Step-by-step explanation: When viewing the image, it would need to go clockwise in order to fit in place
Write the number five million four thousand three hundred
in standard form.e.g 2000=2x10*3
Answers
Five million four thousand three hundred can be written in standard form as 5,004,300.
Write the number five million four thousand three hundred in standard form?5,004,300 = 5 x 10^6 + 4 x 10^3 + 3 x 10^0.The number is composed of five millions (5,000,000), four thousand (4,000) and three hundred (300).In standard form, all numbers are written as a multiple of a power of ten. To convert the number to a multiple of a power of ten, the millions, thousands and hundreds are split apart. The millions is written as 5x10^6. This is because one million is equal to 10^6, and there are five millions. The thousands is written as 4x10^3.This is because one thousand is equal to 10^3, and there are four thousands. The hundreds is written as 3x10^0. This is because one hundred is equal to 10^0, and there are three hundreds. When the three parts are combined, the number is written as 5x10^6 + 4x10^3 + 3x10^0.This can be simplified to 5,004,300. This is the standard form of the number five million four thousand three hundred.To learn more about standard form refer to:
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Answer:
The number five million four thousand three hundred can be written in standard form as `5,004,300`. In scientific notation, it can be written as `5.0043 x 10^6`.
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1. When raw scores from normal distribution are converted to standard scores, the resulting distribution has a mean equal to ________ and SD equal to _________.
Answers
When raw scores from normal distribution are converted to standard scores, the resulting distribution has a mean equal to 0 and SD equal to 1.
A standard score (also known as a z-score) represents the number of standard deviations from the mean a data point is.
Standard scores, which are typically found for normally distributed data, are used in statistics to compare an observation to the population mean and standard deviation, and they can be used to identify how unusual or common a particular value is. The formula for calculating standard scores is as follows:
z = (X - μ) / σ
Where: X is the raw score
μ is the population mean
σ is the population standard deviation
For normally distributed data, the resulting distribution has a mean equal to 0 and a standard deviation (SD) equal to 1.
Therefore, when converting raw scores from a normal distribution to standard scores, one can find the number of standard deviations a score is above or below the mean of the distribution.
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Solve for x: 6x + 3 = 5x − 8 −11 11 −5 5
Answers
Step-by-step explanation:
6x + 3 = 5x - 8
x = -11
Bring x terms to LHS and constant terms to RHS
Topic: Algebraic equations
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
Answer:
-11
Step-by-step explanation:
567898765456787654567876567876+9999999999999999999999999999999
Answers
Answer:
1.05678988E31
Step-by-step explanation:
Please help mee I don't understand this for some reasonnnn!!
Answers
Answer:
bivariate data
Scatter plot
positive assossiation
negitive assossiation
linear assocciation
nonlinear assocciaton
clustering
outlier
Step-by-step explanation:
find the value of x If necessary, you may learn what the markings on a figure indicate.
Answers
Answer:
x=36°
Step-by-step explanation:
Find the answer with the theorems related to isosceles triangle and the exterior angle theorem
A store sells both cold and hot beverages. Cold beverages, c, cost $1.50, while hot beverages, h, cost $2.00. On Saturday, drink receipts totaled $360, and 4 times as many cold beverages were sold as hot beverages.
Which system of linear equations represents the beverage sales on Saturday?
Answers
Answer:
There are two equations and two variables, so this is a system of linear equations.
c + h = 360
4c = h
Step-by-step explanation:
Answer:
The linear equations would be c = 4h and 1.5c + 2h = 360.
Step-by-step explanation:
First we have to create a table for our data.
c = total number of cold beverages sold.
h = total number of hot beverages sold.
The total cost of both beverages sold -
1.5c + 2h = 360
The amount of cold beverages -
c = 4h
Now we just need to substitute the second equation to the first one.
1.5 * (4h) + 2h = 360
= 6h + 2h = 360
= 8h = 360
= h = 45
Now we need to find the value of c.
c = 4* 45 = 180
Therefore 180 cold beverages were sold and 45 hot beverages were sold.
But the linear equations would be c = 4h and 1.5c + 2h = 360.
Hope this helped! :D
Image attached with 30 points :).
express x^2 + 4x - 7 in the form....
Answers
Answer:
Hope that helps
Step-by-step explanation:
warren braxton purchased a home valued at $495,000. he purchased homeowner insurance for 70% of the value of the home. if the annual premium on the policy was $0.78 per hundred-dollar unit, how much did he pay?
Answers
Warren Braxton paid $2,700.30 for his homeowner insurance policy.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.
Formula for percentages: (Value/Total value) * 100
Given that, Warren Braxton purchased homeowner insurance for 70%.
Thus,
0.7 x $495,000 = $346,500.
Now, the premium is:
Premium = ($346,500 / 100) x $0.78 = $2,700.30
Hence, Warren Braxton paid $2,700.30 for his homeowner insurance policy.
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For what value(s) of b does the equation x + 3 - 1 2 x = 3 4 (bx - 5) have exactly one solution?
Answers
The value of b could be 0 so that the equation x + 3 - (1/2)x = 3/4(bx - 5) has exactly one solution.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equations are:
x + 3 - (1/2)x = 3/4(bx - 5)
Let
b = 0
x + 3 - (1/2)x = 3/4(- 5)
x/2 = -15/4 - 3
x/2 = -27/4
x = -27/2
Thus, the value of b could be 0 so that the equation x + 3 - (1/2)x = 3/4(bx - 5) has exactly one solution.
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Evaluate the following: 21 - 8- (-5)(7)| - 54
Answers
Answer:
21−8−(−5)(7)−54
=−6
Step-by-step explanation:
21−8−(−5)(7)−54
=13−(−5)(7)−54
=13−(−35)−54
=48−54
=−6
i need help figuring out how to know which one goes where
Answers
Simplify each of the expressions
\(undefined\)The boys and girls of a high school club are trying to raise funds for celebrating a school function. The boys of the club are selling pencils for $2 a piece and need to raise at most $500. Write an inequality to express the number of pencils sold by the boys.
Answers
The inequality that represents the number of pencils sold by the boys, x ≥ 250
What is an Inequality ?An inequality is a mathematical statement formed when two algebraic expression are equated using an inequality operator , < ,> ,<> etc.
It is given that
Total fund that needs to be raised is ≥ $500
Price of 1 pencil $2
Then let he sells x pencil
then inequality is
2x ≥ 500
x ≥ 250
this means the no. of pencils sold by the boy must be either equal to 250 or greater than 250.
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xm= p - n solve for x
Answers
1) To solve for x is to let x on the left side
xm+x= p-x+x Isolating the x variables on the left
xm +x =p
x(1+m)=p Dividing both sides by 1+ m then we'll have:
\(x=\frac{p}{1+m}\)That is the answer.
Bugs Bunny wanted to buy some new signs to use to trick Daffy Duck. Each sign costs $12, and tax is only 6% in Looney Tune Land. How much would Bugs pay for three signs with tax?
(Please show work too :) )
Answers
Answer:
$38.16
Step-by-step explanation:
12*3=36
36*0.06=2.16
36+2.16=38.16
Hope this helps! :)
choose all that apply
Answers
Answer:
p-6
Step-by-step explanation:
You just balance the equation by putting the variable equations on the first side, and the equation on the other side. Simple!
Answer:
p-6
Step-by-step explanation:
You just balance the equation by putting the variable equations on the first side, and the equation on the other side. Simple!
How do you solve for an inequalty? like -8 > - 3t-10
Answers
Answer:
-2/3<t
Step-by-step explanation:
You can treat the inequality like an equal sign.
The first step is to add 10 to both sides,
2>-3t
Then we need to divide both sides by -3 to isolate the t. The only difference between an equals sign and an inequality when solving is when dividing by a negative number. When you divide by a negative, you flip the sign around.
-2/3>t →-2/3<t
1 week away from the election. Who do you think wins? Why do you think so? Who do you want to win? Who is better for the country? Why??? (Trump 2020)
Answers
Answer:
I think that Trump will win because 4 years ago no one thought he was going to but he did anyway
I want none of them to win because I dislike both of them.
What is the answer to this question?
Answers
Answer:
≈ 3.9 miles
Step-by-step explanation:
The third angle in the triangle is
180° - (53 + 78)° = 180° - 131° = 49°
Using the Sine rule in the triangle with distance from 2 being x, then
\(\frac{3}{sin49}\) = \(\frac{x}{sin78}\) ( cross- multiply )
x × sin49° = 3 × sin78° ( divide both sides by sin49° )
x = \(\frac{3sin78}{sin49}\) ≈ 3.9 ( to the nearest tenth )
4. (3 marks) A married couple decides that they will continue to have children until they have 3 boys. It is assumed that having a boy or a girl is equally likely. (a) What is the probability that the couple has 5 children until they have 3 boys? (b) How many children does this couple expect to have until they have 3 boys?
Answers
This couple can expect to have 3.75 children until they have 3 boys. (a)To calculate the probability that the couple has 5 children until they have 3 boys, we need to consider the possible outcomes that could result in having 3 boys within the first 5 children. One possible outcome is having the first three children be boys and the next two be girls.
Another possible outcome is having the first two children be girls, followed by three boys. Another outcome is having one girl and two boys, followed by two girls and then three boys. There are actually ten different possible outcomes that could result in having 3 boys within the first 5 children. Since each birth has an equal probability of being a boy or girl, each of these outcomes has a probability of 1/2^5 = 1/32. Therefore, the probability that the couple has 5 children until they have 3 boys is the sum of these probabilities, which is 10/32 or 0.3125.
(b) To calculate the expected number of children this couple will have until they have 3 boys, we need to consider the probability of having each possible number of children. Let X be the number of children this couple will have until they have 3 boys. We know that X is at least 3, since it takes at least 3 children to have 3 boys. We can calculate the probability of having X = 3 by having the first three children be boys, which has a probability of 1/2^3 = 1/8. We can calculate the probability of having X = 4 by having the first three children be any combination of boys and girls that does not result in 3 boys, followed by a fourth boy, which has a probability of 1/2^4 * 1/2 = 1/16. We can calculate the probability of having X = 5 by using the calculation from part (a), which is 10/32. We can calculate the probability of having X = 6 by having the first five children be any combination of boys and girls that does not result in 3 boys, followed by a sixth boy, which has a probability of 1/2^5 * 1/2 = 1/32. Continuing in this way, we can calculate the probability of having any value of X. To calculate the expected value of X, we multiply each possible value of X by its probability and then add up all of these products. Doing so yields:
E(X) = 3*(1/8) + 4*(1/16) + 5*(10/32) + 6*(1/32) + ...
We can simplify this expression by factoring out 1/16 and noticing that the remaining terms form a geometric series with first term 5 and common ratio 1/2. Therefore, we have:
E(X) = 3*(1/8) + 5*(1/16)*(1 + 1/2 + 1/4 + ...) = 3.75
Therefore, this couple can expect to have 3.75 children until they have 3 boys.
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How can you model an expression such as a − b?
Answers
6.0954366467 rounded 2 decimal places
Answers
Answer:
6.10
Step-by-step explanation:
Answer:
6.10
Step-by-step explanation:
How many Dollars in 45 Billion won?
Answers
45 billion Korean Won is equal to 45 million US Dollars.
The formula for (USD) is USD = KRW / 1000. To calculate 45 billion won in USD, we must first convert KRW to USD. 45 billion KRW is equal to 45,000,000,000 KRW. Using the formula above, we can calculate the amount of USD:
USD = 45,000,000,000 KRW / 1000
USD = 45,000,000 USD
Therefore, 45 billion won is equal to 45 million US Dollars.
To better understand this conversion, it is important to remember that one US Dollar is equal to 1000 Korean Won. As an example, if you have 10,000 Korean Won, you can convert that to USD by dividing 10,000 by 1000, which equals 10 USD. The same concept applies when converting larger numbers. To convert 45 billion KRW to USD, we must divide 45,000,000,000 by 1000, which equals 45,000,000 USD.
In conclusion, 45 billion Korean Won is equal to 45 million US Dollars.
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