Lamont's total earnings this week come to be $480.
Lamont spends $120 on groceries and this is 25% of the money he earns this week.
This means, $120 = 25% of the total earnings of Lamont
Suppose total earnings =x
What is the percentage?The percentage is the value per hundred.
25% of x= [tex]\frac{25*x}{100}=\frac{x}{4}[/tex]
Given [tex]\frac{x}{4} =120[/tex]
So, [tex]x=480[/tex]
So, his total earnings is $480.
Thus, Lamont's total earnings come to be $480.
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A bucket contains 13 & 1/3 gallons of water and is 5/6 full. How many gallons of water would be in a full bucket?
Answer:
16
Step-by-step explanation:
Answer:
17 2+2+2+2+2+2+2+2+1
Step-by-step explanation:
the bucket contains 13 and 6
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell five cars; nineteen generally sell six cars; twelve generally sell seven cars; nine generally sell eight cars; eleven generally sell nine cars. Calculate the following. (Round your answer to two decimal places.)Data Value (# cars) Frequency Relative Frequency Cumulative Relative Frequency
Answer:
Step-by-step explanation:
From the information given:
We can compute the required calculations into a table as shown below.
[tex]\mathbf{Data \ value }[/tex] [tex]\mathbf{ Frequency }[/tex] [tex]\mathbf{Relative \ frequency}[/tex] [tex]\mathbf{Cumulative \ relative }[/tex]
[tex]\mathbf{Frequency}[/tex]
5 14 14/65 = 0.22 14
6 19 19/65 = 0.29 19+14 = 33
7 12 12/65 = 0.19 33+12 = 45
8 9 9/65 = 0.14 45 + 9 = 54
9 11 11/65 = 0.17 54 + 11 = 65
65
Note: that the relative frequency is determined by dividing each value in the frequency by the total of the frequency.
The average diameter of a tree is measured over time. The equation y=3/5x, where x is the time in years and y is the diameter in inches, models the relationship. What is the predicted diameter, in inches, of the three after 12 years?
equations with variables on both sides that make the answer x=8
Answer:
x/4 = x-6
Step-by-step explanation:
x/4 = x-6 makes x = 8
Hope this helps!!!
Simplify: 7^6 divided 7^2
Answer:
The answer is 1/3
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
~Hoped this helped~
please help me really fast
Answer:
$30.00 fee
$45.00=total bill
$0.10 per minute of usage
x = minutes used
$30.00 + 0.10 per minute = $45.00
$30.00+$0.10(x) = $45.00
$0.10(x) = $45.00-$30.00 = $15.00
x = $15.00/$0.10 = 150 minutes used
Si un ladrillo de adobe pesa 20kg. mas de la mitad de su peso. ¿Cuanto pesara un ladrillo y medio?
Answer:
pesaria 2.25 kilos
explicacion
6The table below represents the charges for using the Internet at a cafe. 3 Number of Minutes Amount Charged (in dollars) 7.5 30 R. 120 12 220 Write an equation in slope-intercept form that describes the relationship between the number of minutes, x, and the amount charged, y.
Answer:
Step-by-step explanation:
y=mx+b
m=(y2-y1)/((x2-x1)
m=(12-7.5)/(120-30)
m=0.05
y=0.05x+b, using point (30,7.5)
7.5=0.05(30)+b
7.5=1.5+b
b=6
y=0.05x+6
Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution with mean 46 pounds and standard deviation 3.7 pounds. Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee. (Round your answer to two decimal places.)
Answer:
85.99% of airline passengers incur this fee.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean 46 pounds and standard deviation 3.7 pounds.
This means that [tex]\mu = 46, \sigma = 3.7[/tex]
Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee.
As a proportion, this is 1 subtracted by the pvalue of Z when X = 50. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{50 - 46}{3.7}[/tex]
[tex]Z = 1.08[/tex]
[tex]Z = 1.08[/tex] has a pvalue of 0.8599
0.8599*100% = 85.99%
85.99% of airline passengers incur this fee.
Many states assess skills of their students in various grades. One program that is available for this purpose is the NAEP. One of the tests provided by the NAEP assesses the reading skills of 12th grade students. In a recent year, the national mean score was 288 and the standard deviation was 38. Assuming the scores are approximately normal, give a range of scores that includes 99.7% of these students.
Required:
How high a score is needed to be in the top 25% of students who take this exam (use technology)?
Solution :
Given :
National mean score of the reading test that is conducted the NAEP = 288
Standard deviation of the score = 38
Therefore, P(X > x) = 0.25
P (Z > [tex]$\frac{x-288}{38} $[/tex] = 0.674)
[tex]$\frac{x-288}{38} = 0.674$[/tex]
[tex]$x=288+(38 \times 0.674)$[/tex]
x = 326.67
Therefore, the highest score that is needed for the students to be in the top of 25 percent among the students those who take the exam.
someone please help
What is the slope of the line shown below?
10
A. 3
61 (1,5)
B. 2
Oh
61,-1)
O c. -3
10
15
O D. -2
-102
Answer:
A. 3
Step-by-step explanation:
The formula for slope is (y2-y1)/(x2-x1), for two points (x1,y1) and (x2,y2) on the line.
Our points are (-1,-1) and (1,5):
(5-(-1))/(1-(-1))
6/2
3
The slope of the line shown below is 3.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have,
Points from the graph (1, 5) and (-1,-1).
So, the slope of line
= (-1 - 5)/ (-1 - 1)
= -6 / (-2)
= 3
Thus, the slope of line is 3.
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On your paper, construct a rectangle on a coordinate plane that satisfies these criteria.
• The sides of the rectangle are either vertical or horizontal.
• The perimeter of the rectangle is 42 units.
• Each of the vertices lies in a different quadrant.
What are the coordinates of the vertices of your rectangle? Explain how you know the perimeter of your rectangle is
42 units
Answer:
[tex]A = (5,3)[/tex]
[tex]B = (-5,3)[/tex]
[tex]C = (-5,-8)[/tex]
[tex]D = (5,-8)[/tex]
Step-by-step explanation:
Required
[tex]Perimeter = 42[/tex]
Construct a rectangle whose perimeter is 42 units and satisfies the given conditions.
First, name the rectangle ABCD.
Such that:
[tex]A = (x_1,y_1)[/tex]
[tex]B = (x_2,y_2)[/tex]
[tex]C = (x_3,y_3)[/tex]
[tex]D = (x_4,y_4)[/tex]
For the rectangle to be either horizontal or vertical, then:
[tex]y_1 = y_2[/tex] and [tex]y_3 = y_4[/tex]
We have that:
[tex]Perimeter = 42[/tex]
Replace perimeter with its formula
[tex]2(AB + BC) = 42[/tex]
Divide both sides by 2
[tex]AB + BC = 21[/tex]
This implies that, the distance between adjacent sides (through the edges) must be equal to 21
Having said that: a set of coordinates that satisfy the given conditions are:
[tex]A = (5,3)[/tex] -- First quadrant
[tex]B = (-5,3)[/tex] -- Second quadrant
[tex]C = (-5,-8)[/tex] -- Third quadrant
[tex]D = (5,-8)[/tex] -- Fourth quadrant
The above quadrants satisfy the condition:
[tex]y_1 = y_2[/tex] and [tex]y_3 = y_4[/tex]
HOW TO KNOW THE PERIMETER IS 42
To do this, we simply calculate the distance between the edges and add them up
Distance is calculated as:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]
For AB
[tex]A = (5,3)[/tex]
[tex]B = (-5,3)[/tex]
[tex]D_1 = \sqrt{(5 - (-5))^2 + (3 - 3)^2}= \sqrt{(10)^2 + (0)^2} = \sqrt{100} = 10[/tex]
For BC
[tex]B = (-5,3)[/tex]
[tex]C = (-5,-8)[/tex]
[tex]D_2 = \sqrt{(-5 - (-5))^2 + (3 - (-8))^2}= \sqrt{(0)^2 + (11)^2} = \sqrt{121} = 11[/tex]
For CD
[tex]C = (-5,-8)[/tex]
[tex]D = (5,-8)[/tex]
[tex]D_3 = \sqrt{(-5 -5)^2 + (-8 - (-8))^2}= \sqrt{(-10)^2 + (0)^2} = \sqrt{100} = 10[/tex]
For DA
[tex]D = (5,-8)[/tex]
[tex]A = (5,3)[/tex]
[tex]D_4 = \sqrt{(5 -5)^2 + (-8 -3)^2}= \sqrt{(0)^2 + (11)^2} = \sqrt{121} = 11[/tex]
So, the perimeter is:
[tex]P = D_1 + D_2 + D_3 + D_4[/tex]
[tex]P = 10 + 11 + 10 +11[/tex]
[tex]P = 42[/tex]
See attachment for rectangle
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Given two points (-3, 1) and (4, -1) are on a line. Write an equation in slope-
intercept form of the line.
y=____x+____
Answer:
y=-2/7x+1/7
Step-by-step explanation:
Find the slope first
-1-1/4+3
-2/7
m=-2/7
y=-2/7x+b
1=-2/7(-3)+b
b=1/7
Find the Area Please
Kendall is Jamal's older brother. The sum of their age is 39 the difference of their age is 9. How old are Kendall and Jamal?
Write and solve the system of equations.
Answer:
Kendall is 24 and Jamal is 15.
Step-by-step explanation:
39 - 9 = 30
30 ÷ 2 = 15
15 is Jamal's age.
15 + 9 = 24
24 is Kendall's age.
True and false
Urgent!!! Please help man!
Answer:
True
Step-by-step explanation:
Because I did this.
At a recent soccer game at Red Bulls stadium, 7500 fans were rooting for the New England Revolution while 17,500 fans were rooting for the New York Red Bulls. What percent of the soccer fans were rooting for the New England Revolution?
Answer:
30%
Step-by-step explanation:
add the number of fans together: 7500+17500 = 25000
write as fraction, fans of New England Revolution over total number: 7500/25000
simplify or use calculator: 3/10 or 0.3
convert fraction or decimal to percentage: 30%
Can anyone please help me with 13-16 I’m begging anybody
Answer:
-3
Step-by-step explanation:
An even number of negative numbers will give a positive answer. An odd number of negative numbers will give a negative answer.
13-16, 16 is larger than 13 so it's negative
what is 3,000 + 200 + .4 + .06 in standard from
Answer:
3,200.406
I think
Step-by-step explanation:
Answer:
Hello! :) have a good day!
3000 + 200 + .4 + 0.6 in standard form is 3201
What is -5 + 7
I need too know this because I am in 7th grade for the 5th time and this is the unit that always made me fail. PLEASE HELP!!!
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Ok so what you wanna do is subtract 5 from 7 which is 2, the answer is 2
Someone help me out please.
Answer:
The answer should be 64.21 or 64
Step-by-step explanation:
Help this Helped
operación 1: (6+(4*12)/12-2)+5
Answer:
13Step-by-step explanation:
6+ (4)(12) /12 −2+5
=6+ 48 /12 −2+5
=6+4−2+5
=10−2+5
=8+5
=13
If I invest $600 at an 11.5% interest rate, how much money will I earn over 5 years? A. $945 B. $345 C. $69 D. $34.50
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4
Answer:
a
Step-by-step explanation:
y/-2 = -34
giving brain.
Answer:
y=68
Step-by-step explanation:
Answer:
y = 68
Step-by-step explanation:
We have the expression y over -2 = -34 and are asked to solve or y.
To solve, we need to isolate for y :
y/-2 = -34
Multiply -2 from both sides :
[tex]\frac{y}{-2} *-2=-34*-2[/tex]
[tex]y = 68[/tex]
Laurinda ordered some boxes of greeting cards online. The cost of the cards is $6.50n + $3 where n is the number of boxes ordered and $3 is the shipping and handling charge. How much will Lurinda pay if she orders 8 boxes of cards?
Answer:
$55.00
Step-by-step explanation:
$6.50 (8) + $3 = $55.00
Help plz...plz don’t steal points..
Answer:
C is the correct answer
Step-by-step explanation:
You just distribute the 5 to the following exponents.
I dont rlly understand this problem, can someone help me pls! thx :)
Answer:
68 i think
Step-by-step explanation:
Step-by-step explanation:
The equation here is,
w° + 124° = 180°
=> w = 180° - 124°
=> w = 56° (Ans)
SOLUTION TO THIS EQUATION
write a equation in the form y= mx or y= mx + b to represent the relationship between the independent and dependent qualities?
Answer:
y = 10x
Step-by-step explanation:
Independent variable (x) = time (minutes)
Dependent variable (y) = distance (feet)
The line passes through the point of origin (0, 0), which means it represents a proportional relationship. Therefore, the equation would be in the form of y = mx. Where,
m = slope = y/x
Using any point on the line, say (5, 50),
m = 50/5
m = 10
To write the equation, substitute m = 10 into y = mx
Thus:
y = 10x
I think I got the answer but I need someone to help