The volume in liters a person uses daily is about 90 liters which is equivalent to 23.48 gallons
How to find the amount of water the person uses dailyInformation given in the question
everyday a person uses about 90 liters of water at home
6 gallons is about 23 liters
how many liters of water does a person use at home daily = ?
Volume is a three dimensional calculation, the formula depends on the object. how ever the calculation is usually done by area * height or thickness
the unit for volume can liters, gallons, cubic meters, and so on
The question have it that a person uses about 90 liters of water daily converting this quantity in gallon is done by
= 90 liters * 6 gallons / 23 liters
= 90 * 6 / 23
= 23.48 gallons
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Please help me ASAP!!! Answer both questions for example: 1= C and 2= A
2. The equation is given as follows: x + 4x = 25.
3. The constrains are given as follows: 0 ≤ x ≤ 25, 0 ≤ y ≤ 75.
What is the equation in item 2?The time spent running is given by:
Running = 4x.
The time spent walking is one-fourth of the time spent walking, hence it is given by:
Walking = 4x/4 = x.
The total time is the sum of the times spent running and walking, hence the expression is presented as follows:
x + 4x = 25.
What are the constraints in item 3?The variables are given as follows:
x: number of out-of-state hires.y: number of in-state hires.You can accept at most 25 out-of-state hires, hence:
0 ≤ x ≤ 25
(as the number cannot be negative).
The company plans to have three times as many in-state hires, hence:
0 ≤ y ≤ 75.
As:
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Why is the degree of the dilated function one more than the degree of the original function?
The degree of a function has no effect by the dilation of the function.
and the degree of the dilated function is same as the degree of the original function.
Dilation is defined as, when a function is multiplied by any number, the graph of the function retain a new shape, either by stretch or by compression in different directions.
Now, when a function is dilated it is either stretched or compressed in upward or downward direction.
It does not affect the degree of the function as the number of roots will be same as original function.
So, the degree of the dilated function is same as the degree of the original function.
Hence, the degree of the dilated function is same as the degree of the original function.
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A triangle has two sides of length 4 and 6. What is the largest possible whole-number length for the third side?
Answer:
9
Step-by-step explanation:
given 2 sides of a triangle then the third side x lies within the limits
difference of 2 sides < x < sum of 2 sides , that is
6 - 4 < x < 6 + 4
2 < x < 10
then the largest possible length is 9
Josh spends of his savings to buy 48 4 5 shares in a cech company. He has $18 left. Part A: How much does each share of the tech company cost? Show your work. Part B: How many more shares can Josh buy with the remainder of his savings? Explain.
Each share of the tech company cost is $1 and 18 more shares can Josh buy with the remainder of his savings.
Given:
Josh spends of his savings to buy 48 4/5 shares in a cech company. He has $18 left.
Let x be the total savings
4/5 x = 48
x = 48*5/4
= 240/4
= $60
= 4/5*60
= 240/5
= $48.
Part A:
The cost of each share of the tech company = 48/48
= $1
Part B :
He has 18 so he can buy =18*1
= 18 shares .
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1. Which ordered pair does NOT belong to any quadrant?
(-1,-3)
(1, 3)
(1, -3)
(0, 3)
The point(0,3) is not a part of any quadrant. option D is the correct answer
The points on the x-axis and the y-axis are not a part of any quadrant.
From the question, we have
The point(0,3) is not a part of any quadrant.
Cartesian Coordinate System:
A point in a plane can be found using the coordinate system by connecting two perpendicular lines. In two dimensions, points are represented as coordinates (x, y) with respect to the x- and y-axes. We will study the Cartesian Coordinate System in this article. Axes and quadrants make up a plane. The coordinate axes are the name of the axes. Axes and quadrants make up a plane. The coordinate axes are the name of the axes. A rectangular system's reference lines, the vertical and perpendicular axes, are used to measure distances.
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Please help ASAP!! It's due tomorrow at 745am
Answer:
L = 22 W = 4
Step-by-step explanation:
It says that the length is 6 more than 4 times its width, this means
4W + 6 = L
Perimeter is 52, this means
2W + 2L = 52
and Area is 88, this means
W*L = 88
2W = 52 - 2L
W = 26 - L
4(26 - L) + 6 = L
104 - 4L + 6 = L
104 + 6 = L + 4L
110 = 5L
L = 22
W = 26 - 22
W = 4
write 75 (base 10) using 2 numerals
Answer:
Step-by-step explanation:
75 = 64 + 8 + 2 + 1 = 1*2^6 + 1*2^3 + 1*2^1 + 1*2^0
There is no power 5, 4, or 2 so zeros go in those slots.
75 = 1001011 (Base 2)
Plumbing: If a 45 gallon hot water tank holds 360 lbs of water, what weight of water will a 55 gallon tank hold?
Weight of water will a 55 gallon tank hold 440 lbs.
How to find the weight of water will a 55 gallon tank hold ?If a 45 gallon hot water tank holds 360 lbs.
45 gal⇒ 360 lb
55 gal ⇒ x lb?
Ratio
45 : 360 = 55 : x
Ratios are used to compare two numbers by dividing them. If you want to compare one data point (A) to another (B), your formula would be A/B. This signifies that you are dividing data A by data B. If A is five and B is ten, your ratio will be 5/10.
Here,
do the relation
[tex]\frac{45}{360} = \frac{55}{x}[/tex]
solve the x
[tex]x = \frac{55 * 360}{45} \\ = 440[/tex]
Hence weight of water will a 55 gallon tank hold 440 lbs.
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Find the values of x and y. Write your answers in simplest form. Please show how the work so I can see and learn how to get the answer.
According to the area of triangle, the value of x is 8.6 and the value of y is 10.5
Area of triangle:
The area of the triangle is defined as the region enclosed by its perimeter or the three sides of the triangle.
Given,
Here we have the triangle with side values and height.
Now, we have to find the value of x and y in the triangle.
We know the formula of the triangle is,
A = 1/2 b x h
Here the value of b is x + 9 and the value of h = 6
So, the area of the triangle is,
=> [(x + 9) x 6]/2
=> 2 = 6x + 54
=> 6x = 52
=> x = 52/6
=> 8.6
Now, the value of y is calculated by using the Pythagoras theorem,
=> y² = (8.6)² + 6²
=> y² = 73.96 + 36
=> y² = 109.96
=> y = √109.96
=> y = 10.5
Therefore, the value of y is 10.5
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Explain how you would find 36×3/4 mentally
Answer:
= 27
Step-by-step explanation:
36×3/4
36 × 3
--
4
(cross multiplication)9 × 3
= 27
£410 is divided between Gordon, Malachy & Paul so that Gordon gets twice as much as Malachy, and Malachy gets three times as much as Paul. How much does Malachy get?
The amount of money that Malachy get is £123 .
In the question ,
it is given that ,
£410 is divided between Gordon, Malachy and Paul .
also given that Malachy gets three times as much as Paul ,
let the amount that Paul get = x .
So , the amount that Malachy get = 3x
it is given that Gordon gets twice as much as Malachy ,
that means , the amount that Gordon get = 2(3x) = 6x
given the total amount is £410 ,
So, equation representing the total amount is
x + 3x + 6x = 410
4x + 6x = 410
10x = 410
x = 410/10
x = 41
So , the amount that Paul get = £41 ,
amount that Malachy get = 3(41) = £123
amount that Gordon get = 6(41) = £246
Therefore , The amount of money that Malachy get is £123 .
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Which of the following describes how the dotted line relates to the solid line (f(x))? reflection through the y-axis, f(x) → f(-x) reflection through the x-axis, f(x) → -f(x) reflection through the y-axis, f(x) → -f(x) reflection through the x-axis, f(x) → f(-x) | 100 POINTS|
Answer:
B) reflection through the x-axis, f(x) → -f(x)========================
We observe on the graph that:
The line is reflected across the horizontal axis, which is the x-axis,The reflection doesn't affect the x-coordinates,The reflection changes each y-coordinate to opposite sign.All the above helps us to conclude that:
This is the reflection through the x-axis, f(x) → -f(x)Answer:
Reflection through the x-axis, f(x) → -f(x).
Step-by-step explanation:
On comparison of the dotted red line with the solid blue line, it is apparent that the x-coordinates do not change, yet the y-coordinates are negatives of each other.
This suggests a reflection in the x-axis.
(Note: If the function was reflected in the y-axis, the y-coordinates would not change, yet the x-coordinates would be negatives of each other).
Mapping rule for reflection in the x-axis:
(x, y) → (x, -y)Therefore, as y → -y then f(x) → -f(x).
So the correct answer that describes how the dotted line relates to the solid line f(x) is:
Reflection through the x-axis, f(x) → -f(x).cybil and ronda are sisters. the letters from their names are placed on identical cards so that each of cards contains one letter. without replacement, two cards are selected at random from the cards. what is the probability that one letter is from each sister's name? express your answer as a common fraction.
Using the theories of probability, we got that 5/9 is the probability that one letter is from each sister's name if the letters from their names are placed on identical cards so that each of cards contains one letter. without replacement.
We know very well that if we want to count number of ways by which r object can be chosen from n objects ,this can be done in [tex]^nC_r[/tex] ways which is equivalent to =(n!/(r!.(n-r)!)
Here are the same case, we have 10 cards, in each of the card there is letter written on it. So number of ways to choose two cards such that it contains any letter is can be done in [tex]^1^0C_2[/tex] ways which is equivalent to 45 ways.
Similarly, number of ways of choosing card which contains only Cybil`s name =[tex]^5C_2[/tex] ways=10 ways.
Similarly, number of ways of choosing card which contains only Ronda`s name =[tex]^5C_2[/tex] ways=10 ways.
So the number of ways containing one letter from each name = 45 - 10 - 10 = 25
So....the probability of choosing one of these sets = 25 / 45 = 5 / 9 =0.55
Hence, Cybil and Ronda are sisters. the letters from their names are placed on identical cards so that each of cards contains one letter. without replacement, two cards are selected at random from the cards. the probability that one letter is from each sister's name is = 5/9.
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(Complete question) is:
cybil and ronda are sisters. the 10 letters from their names are placed on 10 identical cards so that each of cards contains one letter. without replacement, two cards are selected at random from the 10 cards. what is the probability that one letter is from each sister's name? express your answer as a common fraction.
Parker went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 50 grams of sugar and each bottle of juice has 10 grams of sugar. Parker purchased a total of 14 bottles of juice and soda which collectively contain 300 grams of sugar. Graphically solve a system of equations in order to determine the number of bottles of soda purchased,x, and the number of bottles of juice purchased, y.
The number of bottles of soda purchased are 4 and the number of bottles of juice purchased are 10.
Given,Parker went to the grocery store and bought bottles of soda and bottles of juice.
Each bottle of soda has 50 grams of sugar and each bottle of juice has 10 grams of sugar.
Parker purchased a total of 14 bottles of juice and soda which collectively contain 300 grams of sugar.
we are asked to determine the number of bottles of soda purchased,x, and the number of bottles of juice purchased, y.
So, the total number of bottles:x+y=14
x=14-y ...eq(1)
As, Each bottle of soda has 50 grams of sugar and each bottle of juice has 10 grams of sugar.
50x+10y=300
Substituting the value of x from eq(1)
⇒ 50(14-y) + 10y = 300
⇒ 700 - 50y + 10y = 300
⇒ -40y = 300 - 700
⇒ -40y =-400
y = 400/40
y = 10
The number of juice bottles = 10.
Now, to get the number of bottle of soda by substituting the value of y in equation (1):
x = 14-y
x = 14 - 10
x = 4
The number of soda bottles = 4.
Therefore, the number of bottles of soda purchased are 4 and the number of bottles of juice purchased are 10.
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Factorize Completely
6xb + 2xy - 9mb - 6my
Answer:
(3b + 2y)(2x - 3m)
Step-by-step explanation:
6xb + 2xy - 9mb - 6my ( factor first/second and third/fourth terms )
= 2x(3b + y) - 3m(3b + 2y) ← factor out (3b + 2y) from each term
= (3b + 2y)(2x - 3m)
Mario invested $6,000 in an account that pays 5% annual interest compounded annually. Using the formula a = p(1 + r)t, what is the approximate value of the account after 2. 5 years? $6,075 $6,118 $6,456 $6,778.
The approximate value of the account after 5 years will be $6778.
Given that,
Mario put $6,000 into a savings account that accrues interest at a rate of 5% per year.
The amount is given by,
A= p(1 + r)^t
P = 6000
R = 5%
T= 2.5 years
R = Rate of Interest
T= Time
P = Principal Amount
By substituting we get,
A= p(1 + r)^t
A = 6000(1 + 0.05)^2.5
A = 6000(1.05)^2.5
A = 6000 * 1.129
A = 6778.35
As a result, the account will roughly be worth $6778 after five years.
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2) A cuboid has sides of length 10 cm, 6cm and 7 cm.
Find the total surface area of the cuboid.
6 cm
10 cm
7cm
The total surface are of cuboid is 304 cm square.
What is total surface area of cuboid?
The area of a cuboid refers to the surface area as the cuboid is a three dimensional solid. Thus, the area of cuboid can be calculated using the formula of area of rectangle, since the faces of a cuboid are in a rectangular shape.
The Total surface area of a cuboid (TSA) is equal to the sum of the areas of it’s 6 rectangular faces, which is given by:
Total Surface Area of a Cuboid (TSA) = 2 (lw + wh + lh) square units
The above formula gives the total surface area of a cuboid having all six faces.
Given, length = 10cm , width = 6 cm , height = 7cm
Total surface area = 2[10(6)+6(7)+10(7)]
=2(60+42+70)
=2(152)
=304.
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Select the correct answer. What is the solution for x in the equation 5/3x + 4= 2/3x? A. B. C. D.
[tex]\boldsymbol{\sf{\dfrac{5}{3}x+4=\dfrac{2}{3}x }}[/tex]
Subtract 2/3x on both sides.
[tex]\boldsymbol{\sf{\dfrac{5}{3}x+4-\dfrac{2}{3}x=0 }}[/tex]
Combine 5/3x and -2/3x to get x.
[tex]\boldsymbol{\sf{x+4=0 }}[/tex]
Subtract 4 from both sides. Any value subtracted from zero results in its negative value.
[tex]\boldsymbol{\sf{x=-4 }}[/tex]
Answer:
x = - 4
Step-by-step explanation:
[tex]\frac{5}{3}[/tex] x + 4 = [tex]\frac{2}{3}[/tex] x ( multiply through by 3 to clear the fractions )
5x + 12 = 2x ( subtract 2x from both sides )
3x + 12 = 0 ( subtract 12 from both sides )
3x = - 12 ( divide both sides by 3 )
x = - 4
Plans for a new apartment building call for apartments directly across the hall from each other to be congruent. This computer printout shows Apartment D. If the vertices of Apartment E are located at (-2X1, Y1), (-2%2, Y/2), (-2X3, y3), and (-2%4, y4), will Apartment E be congruent to Apartment D?
Answer:
Step-by-step explanation:
no because (-2X1, Y1), and-2X3, y3), arent congruent so the whole problem is not congruent
Calculate a four-day moving average for the price of the stock for the end of day 7. Day 1 - 62. 00; day 2 - 56. 00; day 3 - 50. 00; day 4 - 60. 00; day 5 - 59. 00; day 6 - 55. 00; day 7 - 59. 00; day 8 - 63. 0.
The average for the price of the stock for the end of day 7 is 57.28
Given,
The stock of 8 days;
Day 1 - 62. 00
Day 2 - 56. 00
Day 3 - 50. 00
Day 4 - 60. 00
Day 5 - 59. 00
Day 6 - 55. 00
Day 7 - 59. 00
Day 8 - 63. 00
We have to find the average for the price of the stock for the end of day 7.
Here,
Average = Total sum / Number
Then,
Average = (day 1 + day 2 + day 3 + day 4 + day 5 + day 6 + day 7) / n
= (62 + 56 + 50 + 60 + 59 + 55 + 59) / 7
= 401/7
= 57.28
Therefore,
The average for the price of the stock for the end of day 7 is 57.28
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expand by using the distributive property: (y^2 - 3y^3 x^-1) 2m^0 y^-2
The expanding the expression y^2 - 3y^3 x^-1) 2m^0 y^-2 using distributive property is 2y² + 1 - 6y³ + 2x⁻¹ + x⁻¹y⁻²
We need to expand the expression (y² - 3y³ + x⁻¹) (2m⁰ + y⁻²)
The distributive property allows to multiply a sum by multiplying each term separately and then add all of the products together.
y²(2m⁰ + y⁻²) - 3y³(2m⁰ + y⁻²) + x⁻¹(2m⁰ + y⁻²)
2(1)y² + y²⁻² - 3y³2(1) - 3y³⁻² + x⁻¹2(1) + x⁻¹y⁻²
2y² + 1 - 6y³ + 2x⁻¹ + x⁻¹y⁻²
Therefore, the expanding the expression y^2 - 3y^3 x^-1) 2m^0 y^-2 using distributive property is 2y² + 1 - 6y³ + 2x⁻¹ + x⁻¹y⁻²
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7. Write an equation for the line in slope-
intercept form.
Ay
2
4-2 O
2
-4
2
4
X
Answer: y= -2/4x - 3
Step-by-step explanation:
b=y-intercept
Equation for slope-intercept form: y=mx+b
Locate the y-int/b: -3=b
Identify the slope/m: -2/4= 2 down, 4 to the right
Insert slope and y-int into slop-intercept form: y= -2/4x - 3
Evaluate: 3y - 5/4x=
when y = 2 and x = 4
Answer:
1
Step-by-step explanation:
3(2)-5/4(4)
6-20/4
6-5
1
The straight line L passes through the points (4, -1) and (6, 4)
The straight line M is perpendicular to L and intersects the y-axis at the point (0, 8)
Find the coordinates of the point where M intersects the x-axis.
Answer:
Step-by-step explanation:
gradient of L:
4-(-1)/6-4
=5/2
Gradient of m=perpendicular gradient=m1xm2= -1
5/2m2=-1
5m2=-2
m2= 2/5
y intercept given=8
equation:
y= -2/5x+8
y will be0 when line crosses x-axis
input y as 0
0= -2/5x+8
2/5x=8
2=40x
x= 20
coordinate=(-20,0)
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A trader old a writ watch for h.3150 after giving a 10% dicount.Find the marked price of the watch
The marked price of the wrist watch after the trader sold a wrist watch for $3150 after giving a 10% discount is $3500.
First, let us understand the percentage:
A percentage is a fraction of a whole expressed as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent.
To determine a percentage, we need to divide the portion of the whole by the whole itself and multiply by 100.
Let the marked price be x.
So,
According to the question;
x - x * 10% = 3150
x - x * 10/100 = 3150
100x - 10x / 100 = 3150
90x = 3150 * 100
x = 3150 * 100 / 90
x = 3500
So, the marked price is $3500.
Thus, the marked price of the wrist watch after the trader sold a wrist watch for $3150 after giving a 10% discount is $3500.
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suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. a study was then done to see if the mean time has increased in the new century. a random sample of 27 first-time convicted burglars in a recent year was picked. the mean length of time in jail from the survey was four years with a standard deviation of 1.9 years. suppose that it is somehow known that the population standard deviation is 1.4. conduct a hypothesis test to determine if the mean length of jail time has increased. assume the distribution of the jail times is approximately normal. calculate the following. (enter exact numbers as integers, fractions, or decimals.) (a) x
Using Z- distribution it is found that the mean length of jail time has increased because the test statistics is greater than the critical value.
Z- distribution: It is a special normal distribution where the mean is 0 and standard deviation is 01.
z = (x -μ) / σ
At the Null hypothesis, it is tested if the mean length of jail time is still of 2.5 years.,
i.e., H₀ :μ = 2.5
Null hypothesis : It refers to a hypothesis that states that there is no relationship between two population parameters.
At the alternative hypothesis, it is tested if it has increased
i.e., H₁ :μ>2.5
Alternative Hypothesis: The alternative hypothesis states the research prediction of an effect or relationship.
we have the standard deviation for population thus the z- distribution is used. The test statistics is :
z= ⁻ₓ -μ /σ /√n
where, x is the sample mean
μ is the value tested at the null hypothesis.
σ is the standard deviation of sample.
n is the sample size.
For this problem the values of parameter are:
x= 5 ,σ =1.4 ,μ = 2.5 and n = 27
hence the value is :
z= ⁻ₓ -μ /σ /√n
= 5 - 2.5 / 1.4 ÷ √27
= 2.5 × √27 /1.4
= 9.27
The critical value for a right tailed test as we are testing if the mean is greater than a value with a significance level of 0.05 is of 2*= 1.645.
since, the test statistics is greater than the critical value, it can be concluded that the mean length of jail time has increased.
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12x−x+8+3x= ______x + _______ Complete the equation so that it has infinitely many solutions.
Answer:
14x + 8 for the first column and the second one is i think its 2 (7x + 4)
Step-by-step explanation:
sorry if this is not what your looking for
sin60° change to fraction
Answer:
[tex]\frac{\sqrt{2} }{3}[/tex]
Step-by-step explanation:
I need help with this please
Answer:
Only the third one is incorrect. First 2 and last 1 are correct.
Leo reads 11 pages in one third 1/3 hour. What is the unit rate for hours per pages?
Answer: 33 pages in 1 hour
Step-by-step explanation:
You could cross multiply
[tex]\frac{11}{1/3}[/tex] = [tex]\frac{x}{1}[/tex]
11=1/3x
x=33