Answer:
they use 212 gallons
Step-by-step explanation:
(68.9/32.5)*100
the division by 32.5 is to determine the amount of water one percent would be, so multiplying it by 100 will give you the total amount
Final answer:
To find the total daily water usage of a family using 68.9 gallons per day for drinking, which is 32.5% of their total usage, you divide the amount of water for drinking by 0.325. The calculation shows the family uses about 212 gallons of water per day.
Explanation:
The question asks us to calculate the total daily water usage of a family if they use 68.9 gallons per day for drinking, which represents 32.5% of their total daily use. To find the total water use, we divide the amount of water used for drinking by the percentage that represents drinking water.
Step-by-step Calculation:
Convert the percentage to a decimal by dividing 32.5 by 100, giving us 0.325.
Divide the gallons used for drinking by this decimal: 68.9 gallons / 0.325 = 212 gallons (rounded to the nearest whole gallon).
Therefore, the family uses approximately 212 gallons of water every day for all purposes.
x + 23 2x + 4 what’s the value of x
X+23=2X+4
X-2X=4-23
-x=-19
X=19
You didn’t not show what is the relation between the expressions so I assumed it’s equall
Find the area of the shape shown below.
Answer:
28 square units
Step-by-step explanation:
How many solutions can be found for the linear equation?
4(x + 5) - 5 = (4x + 1)
no solutions
one solution
two solutions
infinitely many solutions
Answer:
no solution
Step-by-step explanation:
4x + 20 - 5 = 4x + 1
= 20 - 5 = 1 (The 4x cancels each other out)
= 15 ≠ 1
15 is not equal to 1, so the linear equation has no solution
The average hourly charge of plumbers in the Denver area is $84.00 with a standard deviation of $4.00. Assume that the hourly charges of the plumbers in Denver are normally distributed. If a person living in Denver calls a random plumber, what is the probability that the plumber will charge at least $86.00 per hour. Express your answer as a decimal between 0 and 1, to the nearest hundredth.
Answer:
The probability is 0.31
Step-by-step explanation:
In this question, we are tasked with calculating the probability that a random plumber called at Denver will charge an amount greater than $86 given the mean and the standard deviation.
Firstly, we calculate the standard score of $86 using the mean and the standard deviation.
Mathematically;
z-score = (x-mean)/SD
where x = 86, mean = 84 and SD = 4
z-score = (86-84)/4 = 2/4 = 0.5
Hence, we want to calculate P(z ≥ 0.5)
Using standard table
P( (z ≥ 0.5) = 1 - P(z ≤ 0.5) = 1 - ( 0.19146 + 0.5) = 0.30854
To the nearest hundredth = 0.31
Which side length for me a right triangle?
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
8^2 + 15^2 = 17^2
(64 + 225 = 289)
If Mike has a ratio of 2 apples to 3 bananas, how many apples would you expect him to have if he has 15 bananas
Answer:
Step-by-step explanation:
Ratios are in proportion
Let x be number of apples
2:3 = x:15
[tex]\frac{2}{3}=\frac{x}{15}\\\\\frac{2}{3}*15=x\\\\2*5=x\\10=x\\[/tex]
Mike should have 10 apples
If Mike has 15 bananas, he would have 10 apples based on the ratio of 2 apples to 3 bananas.
To solve the problem, we start by understanding the given ratio of apples to bananas: 2 apples for every 3 bananas. This can be expressed as the fraction 2/3.
Now, we need to determine how many apples Mike would have if he possesses 15 bananas.
Let the number of apples be x.The ratio of apples to bananas is 2 to 3, so we can set up a proportion:Therefore, if Mike has 15 bananas, he would have 10 apples.
Which pair of quantities is LEAST likely to be directly proportional?
A.Hours worked and money earned
B.Distance and time when speed is constant
C.Area and side length of a square
D.Total cost and the number of hats purchased
Answer:
C: Area and side length of a square
Step-by-step explanation:
Answer: C
Step-by-step explanation:
a game show host offers to give you one penny on the first day, 2 pennies on the second day, 4 pennies the third day, and so on for the next 25 days.
Is this geometric or arithmetic?
How much money will you have at the end of the 25 days?
Answer:
It's geometric
Step-by-step explanation:
Geometric series are multiplied to get the next number in the sequence
arithmetic are added to get the next number in the sequence
If the radius and the height of a right cylinder are both tripled, by what factor will the surface area increase?
Answer :
The surface area will increase by 9
Step-by-step explanation :
This problem bothers on the mensuration of solid shapes, a cylinder
Step one
We know that the surface area of a cylinder is given as
A= 2πrh + 2πr²
A= 2π(rh + r²)
Since the radius and the height is tripled r=3r, h= 3h
A= 2π(3r*3h + (3r)²)
A= 2π(9rh + 9r²)
Factoring 9 out we have
A= 9*2π(rh + r²)
Hence the surface area will increase by 9
9 passengers in 3 cars = passengers per car
Plzzzz answer
Quick I’m almost at a time
Answer:
200 would be the answer! :)
Step-by-step explanation:
hope this helped!
Answer:200
Step-by-step explanation:
Its higher than a 5 which turns it into a 10
If a base isn’t negative how will you know whether the answer is positive or negative before evaluating it
Answer:
when evaluating a power with a negative base, the solution is positive or negative depending on whether the exponent is odd or even. if odd, the value will be negative. if even, the value will be positive.
Step-by-step explanation:
Answer:
On edge
My response: If the base is negative and you are trying to find out weather the value of the power(Answer) will be negative or positive all you have to look at is the exponent. If the exponent is even the answer will be positive. If the exponent is odd then the answer will be negative.
Sample Response: When evaluating a power with a negative base, the solution is positive or negative depending on whether the exponent is odd or even. If odd, the value will be negative. If even, the value will be positive.
There are 12 red marbles and 8 green marbles in a bag. What is the probability of selecting a red
marble, not replacing it, and then selecting a green marble from the bag?
Answer:
The probability of selecting a red marble, not replacing it, and then selecting a green marble from the bag is 24/95
Step-by-step explanation:
Number of red marbles = 12
Number of green marbles = 8
Total number of marbles = 12+8 = 20
Probability of selecting red marble =[tex]\frac{12}{20}[/tex]
Since it is the case of no replacement
Remaining marbles = 20-1 = 19
Number of red marbles = 12-1=11
Number of green marbles = 8
Probability of selecting green marble =[tex]\frac{8}{19}[/tex]
So, the probability of selecting a red marble, not replacing it, and then selecting a green marble from the bag =[tex]\frac{12}{20} \times \frac{8}{19}=\frac{24}{95}[/tex]
Hence the probability of selecting a red marble, not replacing it, and then selecting a green marble from the bag is 24/95
In what 3 forms can probability be written?
Answer:
unlikely,likely,and certain
Step-by-step explanation:
The probability of an event can only be between 0 and 1 and can also be written as a percentage. The probability of event A is often written as P ( A ) P(A) P(A)P, left parenthesis, A, right parenthesis.Probability. Probability is the likelihood or chance of an event occurring. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .Examples of Probability. ... Probability can be expressed in a variety of ways including a mathematically formal way such as using percentages. It can also be expressed using vocabulary such as "unlikely," "likely," "certain," or "possible." Explore several probability examples.And an event is one or more outcomes of an experiment. Probability formula is the ratio of number of favorable outcomes to the total number of possible outcomes. Measures the likelihood of an event in the following way: - If P(A) > P(B) then event A is more likely to occur than event B.
Hope that was helpful.Thank you!!!
Please answer this question
5. yes
6. yes
7. no
8. no
2x/8 +5=3
what is x equal to
Answer:
-8
Step-by-step explanation:
2x/8 + 5 = 3
x/4 = -2
x = -8
Si n es un número entero de dos dígitos, en que el dígito de las decenas es X
y el de las unidades es Y, el antecesor de n es:
Answer:
((X*10)+Y)-1
Step-by-step explanation:
Зх(х2 + 4)?
What’s the answer ?
Answer:
3x^3 + 12x
Step-by-step explanation:
Use the distributive property and multiply 3x across all the terms inside the parentheses, and you'll end up with 3x^3 + 12x.
Hope this helps!
Which one is keisha’s mistake?
Answer:
D
Step-by-step explanation:
According to the assignments she didnt make no mistake every thing is correct! :))
expand the expression -7k (k - 3)
Answer choices are
K + 21
-7k + 21
-k- 21
-7k - 21
Which statements best describe the box plot or histogram? Check all that apply.
Using the information in the box plot, the total number of students surveyed is 70 - 25, or 45.
Using the information in the histogram, the total number of students surveyed is 4 + 4 + 6 + 4 + 2 = 20.
Referring to the box plot, the median of the data is 50.
Referring to the histogram, the median of the data is 49.5.
The range of the data can be found using the box plot.
- The range of the data can be found using the histogram
Answer:
2,3 and 5
Step-by-step explanation:
Answer:
B, C, and E. or 2, 3 and 5.
Step-by-step explanation:
I got it correct on edge 2021.
Zelda has 8 rabbits with which to start an animal farm. If the rabbit population doubles each month, in how many months will the rabbit population be 5,800?
Answer:
9.5 months
Step-by-step explanation:
We would be using the expression
y = abⁿ
Where
a = starting number = 8 rabbits
b = rate of change = the number of rabbits doubles = 2
n = number of time intervals that has passed = unknown = number of months
y = rabbit population = 5800
y = abⁿ
5800 = 8 × 2ⁿ
Divide both sides by 8
5800 ÷ 8 = 2ⁿ
725 = 2ⁿ
n = 9.5 months.
Therefore, the number of months in which the rabbit population would reach 5,800 is 9.5 months
Multiply: 6√x * 4√y^3
Rewrite the expression using rational exponents
with a common denominator.
Answer: it's option b.
Step-by-step explanation:
[tex]x^{\frac{2}{12} } y^{\frac{8}{12}}[/tex] is the expression using rational exponents with a common denominator of [tex]\sqrt[6]{x} \sqrt[4]{y^{3} }[/tex]
What is Number system?A number system is defined as a system of writing to express numbers.
The given expression is [tex]\sqrt[6]{x} \sqrt[4]{y^{3} }[/tex]
The square root is nothing but power of 1/2
So we can write these as
[tex]\sqrt[6]{x} \sqrt[4]{y^{3} }[/tex]
[tex]x^{\frac{1}{6} } y^{3}^{\frac{1}{4} }[/tex]
As we need to write the exponents as common denominator.
[tex]x^{\frac{2}{12} } y^{\frac{8}{12}}[/tex]
Hence, [tex]x^{\frac{2}{12} } y^{\frac{8}{12}}[/tex] is the expression using rational exponents with a common denominator of [tex]\sqrt[6]{x} \sqrt[4]{y^{3} }[/tex]
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In the figure below, \overline{AD}
AD
start overline, A, D, end overline and \overline{CE}
CE
start overline, C, E, end overline are diameters of circle PPP.
What is the arc measure of \stackrel{\Huge{\frown}}{AEB}
AEB
⌢
A, E, B, start superscript, \frown, end superscript in degrees?
^\circ
∘
The arc measure of CAD is 296 degrees.
1. Find k by setting angle DPE to 90 degrees:
33k - 9 = 90
33k = 99
k = 3
2. Calculate angle CPD using the value of k:
angle CPD = 20k + 4
angle CPD = 20(3) + 4
angle CPD = 64
3. Determine angle CBP by subtracting angle CPD from 90 as angle APB is 90 degree:
CBP = 90 - CPD
CBP = 90 - 64
CBP = 26
4. Finally, calculate the arc measure of CAD by adding the arc measures of CBP, APB, EPD, and APE:
Arc measure of CAD = ∠CBP + ∠APB+ ∠EPD + ∠APE
Arc measure of CAD = 26 + 90 + 90 + 90
Arc measure of CAD = 296
Hence, the arc measure of CAD is 296 degrees.
Complete question:
In the figure below, AD and BE are diameters of circle P.
What is the arc measure of CAD in degrees?
The arc measure of CAD is 296 degrees.
1. Find k by setting angle DPE to 90 degrees:
33k - 9 = 90
33k = 99
k = 3
2. Calculate angle CPD using the value of k:
angle CPD = 20k + 4
angle CPD = 20(3) + 4
angle CPD = 64
3. Determine angle CBP by subtracting angle CPD from 90 as angle APB is 90 degree:
CBP = 90 - CPD
CBP = 90 - 64
CBP = 26
4. Finally, calculate the arc measure of CAD by adding the arc measures of CBP, APB, EPD, and APE:
Arc measure of CAD = ∠CBP + ∠APB+ ∠EPD + ∠APE
Arc measure of CAD = 26 + 90 + 90 + 90
Arc measure of CAD = 296
Hence, the arc measure of CAD is 296 degrees.
Complete question:
In the figure below, AD and BE are diameters of circle P.
What is the arc measure of CAD in degrees?
Which is a statistical question that could have been asked to collect the data shown in the dot plot below? (Pick one)
10 points
How many times did we buy a school lunch last week?
How many days were in the last month?
Is your favorite number 5?
Answer: The correct option is the first question; How many times did we buy a school lunch last week?
Step-by-step explanation: When collecting data for the purpose of statistics and data analyses, the exercise involved goes beyond just asking questions. It is actually about asking questions that would provide data or information with a measure of variability. That would help in deciding which data can be best suited to represent the entire data collected.
The question how many days were in last month is not a statistical question because the answer is pretty much straight forward. The number of days in the previous month cannot vary, it will always be the same, hence the answer would be not be useful for any kind of statistical analyses.
Also, asking "Is your favorite number 5?" is not a statistical question because the answer is a yes or no. This does not allow for any kind of statistical analyses. Its as good as a 'dead end.'
However, asking how many times we bought a school lunch last week is a statistical question because the data collected would have a good measure of variability. That is, the data cannot be the same for all respondents. Unlike in the second question where the answer is already known and unchangeable, the answer to this question is not going to be a fixed one and as the respondents provide varying answers, you can now begin to measure the point at which all the answers are likely to agree (measure of central tendency) which is a basic part of statistics.
A map has a scale 1 inches : 10 miles. Use the given map distance to find the actual distance.
1. 3 in 2. 7.5 in 3. 1 ft
Answer:
1) [tex]x = 30\,in[/tex], 2) [tex]x = 75\,mi[/tex], 3) [tex]x = 31\,mi[/tex]
Step-by-step explanation:
The actual distances are computed below:
1) The actual distance is:
[tex]x = \frac{3\,in}{1\,in}\times 10\,mi[/tex]
[tex]x = 30\,in[/tex]
2) The actual distance is:
[tex]x = \frac{7.5\,in}{1\,in}\times 10\,mi[/tex]
[tex]x = 75\,mi[/tex]
3) The actual distance is:
[tex]x = \frac{3.1\,in}{1\,in}\times 10\,mi[/tex]
[tex]x = 31\,mi[/tex]
To find the actual distance, multiply the map distance by the scale factor. The scale factor is the ratio of the actual distance to the map distance.
Explanation:To find the actual distance using the given map scale, you need to multiply the map distance by the scale factor. The scale factor is the ratio of the actual distance to the map distance. In this case, the scale factor is 10 miles per inch.
For 3 inches, the actual distance would be 3 inches * 10 miles/inch = 30 miles.For 7.5 inches, the actual distance would be 7.5 inches * 10 miles/inch = 75 miles.For 1 ft, you need to convert feet to inches. There are 12 inches in a foot, so 1 foot = 12 inches. The actual distance would be 12 inches * 10 miles/inch = 120 miles.Learn more about Finding actual distance using a map scale here:https://brainly.com/question/34970123
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Find the surface area of the rectangular prism.
Answer:
okay I guess the answer is 120 square units
Peter drove at a constant speed and covered 576 miles in 12 hours. How many miles would Peter cover in 14
hours?
Answer:
672 miles
Step-by-step explanation:
576/12= 48
every hour he drove 48 miles
48 x 14 = 672 miles
What is the solution to this system of equations?
x+2y=4
2x-2y = 5
(3 - 5 1 2 3
no solution
infinitely many solutions
Answer:
(x,y) = (3, 1/2)
Step-by-step explanation:
This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations..
To solve this, add the equations;
x + 2x + 2y - 2y = 4 + 5
3x = 9
x = 3
substitute the value of x into the first equation,
3 + 2y = 4
2y = 4 -3
2y = 1
y = 1/2
Answer: Its B
Step-by-step explanation:
Which set of side lengths is a Pythagorean triple?
M
1, 3, 10
4,5, 9
9, 40, 41
16, 30, 44
Answer:
9, 40, 41.
Step-by-step explanation:
We can derive this by simply analyzing all of the answer choices and eliminating those that do not work using the Pythagorean formula: a²+b²=c²
1²+3²≠10²
4²+5²≠9²
9²+40²= 41²
16²+30²≠44²
When these are plugged into the calculator, we can see that only answer 3 satisfies the formula, making it a Pythagorean triple.
Answer:
9,40,41 is a Pythagorean triple
Step-by-step explanation:
Pythagorean triples are integers that're all positive and they don't have a common divisor larger than 1