Answer:
150 hours
Step-by-step explanation:
Bill receives $800 as monthly stipend. But after this statement, it says Bill also works at a bookstore. So, it should mean that Bill does not receive $800 from the bookstore. He receives $800 from another job because of the word "also" which is mentioned in the second statement.
If the question is, to find out the number of hours Bill has to work each month if he assumes his monthly income to be $1,200 then 1200/8 = 150
But if the question is trying to mean that Bill receives $800 as a monthly stipend from the bookstore then this answer is wrong.
Then, we would have to calculate the difference.
$1200 - $800 = $420
Time = $420/8 = 50 hours.
Everything depends on the question. The question however needs some explanation, because this question is not written in a clear way.
PLSSSSS HELPPPP!!! A data set has a mean of 72 and a standard deviation of 3.5. The z-score for a data point is -1.2. What is the data point?
Answer:
D. The data point is 2.5 standard deviations away from 0.5.
Step-by-step explanation:
Z-score is the measure of how many number of standard deviations, the data point, is away from the mean. It also measures how many standard deviations below or above the population mean, a raw score is.
Given, a set of data has a mean (μ) of 0.5 and a standard deviation (σ) of 0.01 with a data point of the set has a z-score of 2.5.
i.e the data point is 2.5 standard deviations away from the mean 0.5.
Hope this helped!
Three dressers are placed side by side one dresser is 2 feet 9 inches wide , another is 2 feet 7 inches wide , and the third 3 feet 11 inches wide . How wide are they combined
Answer:
18 feet 3 inches
Step-by-step explanation:
4 feet 7 inches + 6 feet 11 inches + 6 feet 9 inches =
10 feet 18 inches + 6 feet 9 inches =
16 feet 27 inches =18 feet 3 inches
Answer: 9.25 Feet
Step-by-step explanation:
Step 1: Take all the feet add them together = 7Ft or 84 inches
Step 2: Now add all the inches together to = 27 inches
Step 3: Add 27 + 84 = 111
Step 4: Divide that by 12 cause 1 foot = 12 inches
Step 5: should equal 9.25 :)
Simplify the ratio 9/12 by dividing both the numerator and denominator by the greatest common factor of 3
A) 1/4
B) 1/2
C) 3/4
D) 4/3
Answer:
Option C
Step-by-step explanation:
9/3=3
12/3=4
so, the answer is 3/4
Option C
Answer:
Think of it as 9 / 3 = 3
12 / 3 = 4
so it is 3/4. The ratio is equal because 3/3 = 1 so you are dividing by 1
Hope this helps
Step-by-step explanation:
Angie has a box that is 3/4 of a foot long What fraction is equal to the length, in feet, of the box?
A. 6/12
B. 8/12
C. 9/12
D. 11/12
EXPLAIN AS WELL WHY YOU PICK THAT ANSWER!
Answer:
C.
3 x 3 = 9
4 x 3 = 12
3/3 = 1 so it is equal
3/4 = 9/12
Step-by-step explanation:
The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input the whole number only.)
Each exterior angle of a regular polygon is 24º.
How many sides does the polygon have?
Answer: 360 / 24 = 15
Step-by-step explanation :
Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.
15 sides
The polygon has 15 sides
360/24=15
5. Which of the following linear functions has a graph which passes through points (−5,−2) and (−3,0)?
options:
A. f(x) = x – 3
B. f(x) = x + 3
C. f(x) = –x + 3
D. f(x) = –x – 3
Answer:
[tex]f(x) = x + 3[/tex]
Step-by-step explanation:
Given
Points (−5,−2) and (−3,0)
Required
Find a linear function that passes through the given points
The question implies that we solve for the equation for the line;
First, the slope of the line must be calculated;
This is calculated as thus:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where [tex](x_1,y_1) = (-5,-2)\ and\ (x_2,y_2) = (-3,0)[/tex]
So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{0 - (-2)}{-3 - (-5)}[/tex]
[tex]m = \frac{0 + 2}{-3 + 5}[/tex]
[tex]m = \frac{2}{2}[/tex]
[tex]m = 1[/tex]
The equation of the line can then be calculated using any of the given points;
Using
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
[tex]Where\ (x_1,y_1) = (-5,-2)\ and\ m =1[/tex]
We have
[tex]1 = \frac{y-(-2)}{x-(-5)}[/tex]
[tex]1 = \frac{y+2}{x+5}[/tex]
Multiply both sides by x + 5
[tex](x+5)*1 = \frac{y+2}{x+5} * (x+5)[/tex]
[tex]x + 5 = y + 2[/tex]
Subtract 2 from both sides
[tex]x + 5 - 2 = y + 2 - 2[/tex]
[tex]x + 3 = y[/tex]
[tex]y = x + 3[/tex]
Replace y with f(x)
[tex]f(x) = x + 3[/tex]
Hence, from the list of given options; Option B is correct
Answer: B. f(x) = x + 3
Step-by-step explanation:
Find the coordinates of the image.
Answer:3,-7
Step-by-step explanation:
Lines a and b are parallel. If the slope of line a is 3 , what is the slope of line b?
A. -3
B. -1/3
C. 1/3
D. 3
Answer:
D.
Step-by-step explanation:
They are parallel and therefore has the same slope.
A 3-gallon container of window cleaner costs $15.84. What is the price per quart?
*Hint: 1 gallon = 4 quarts*
HURRY DUE SOON PLEASE AND THANK YOU :)
Answer:
1.32
Step-by-step explanation:
3 gallon = 1
12 quarts = 4
12 quarts =1
$15.84= 1.32
Answer:
$1.32 per quart
Step-by-step explanation:
To find the price per quart, we must divide the price by the number of quarts.
price / quarts
We are told that a 3 gallon container costs $15.84. First, we must find out how many quarts are in 3 gallons.
We know that 1 gallon is equal to 4 quarts.
Let’s set up a proportion.
quarts/ gallons = quarts/ gallons
4 quarts /1 gallon = x quarts/ 3 gallons
4/1= x/3
Multiply both sides by 3
3*4/1= x/3*3
3*4/1=x
3*4=x
12=x
There are 12 quarts in 3 gallons.
Now we know how many quarts are in 3 gallons. We can find the price per quart.
price / quarts
It costs $15.84 for 12 quarts.
$15.84/12 quarts
Divide 15.84 by 12
$1.32 / quart
It costs $1.32 per quart of window cleaner.
To change a decimal to a fraction we route write the digit to the left or to the right of the decimal point over the appropriate power of 10
Answer:
The digit goes to the right of the decimal point
Step-by-step explanation:
If you had [tex]\frac{1}{10}[/tex], you would convert that to 0.1, which is equivalent to the fraction form. The one goes on the right of the decimal point.
Which of the following relations represents a function?
O A. {(1, 1), (1, 2), (1,3)}
O B. {(1, 1), (2, 1), (3, 1)}
O C. {(1, 1), (2, 2), (3, 3)}
O D. Both B and C.
OPTION NUMBER D IS CORRECT
D.Both B and C.
Step-by-step explanation:
function is the relation from set A to B such that every element of set A(domain) should have only 1 image in Set B(co domain).
help me please i need it !
Answer:
A
Step-by-step explanation:
There is 2 of the same number on the Y
each ice cream cone cost $100. Students get 5 1/2 and seniors get 7 1/2. how much more does seniors get?
Answer:
2
Step-by-step explanation:
7 1/2 - 5 1/2
7.5 - 5.5
2
describe to a friend how to graph a point at (2,5)
Answer:
So to start, the first number in the set is usually on the x axis. The x axis is the line going to the right. You go two ticks on there. Next is the second number, so what you do is just go up 5 ticks from there andd there ya go, you graphed it!
Um, I'm not very good at explaining but I hope that makes sense haha. I don't really understand the point of marking brainliest, but if you want you can mark mine it
Taking 1 cm = 1 unit we draw the x-axis and y-axis and plot (2,5) at a distance of 2 from x-axis and distance of 5 from y-axis.
What are the co-ordinates of a point in a graph?A point has two inputs namely the x-coordinate and y-coordinate. The x-coordinate and y-coordinate is the perpendicular distance from y axis and x axis respectively.
Given point is (2,5)
Plot x=2 at a perpendicular distance from y axis measured along positive x axis
plot y=5 at a perpendicular distance from x axis measured along positive y axis
and we get the required point.
The point (2,5) is plotted in the graph attached with the answer.
Learn more about co-ordinates here:
https://brainly.com/question/27749090
#SPJ5
The first two terms of a geometric sequence are a1 = 1 and a2 = 3. Find a4, the fourth term of the sequence. Question 1 options: A) 81 B) 27 C) 243 D) 9
Answer:
B)
Step-by-step explanation:
Common ratio = a2/a1 = 3/1 = 3
[tex]a_{n}=ar^{n-1}\\\\a_{4}=1*3^3\\\\ = 27[/tex]
Solve the equation 12 + 2x = 16
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]12 + 2x = 16[/tex]
[tex]2x=16-12[/tex]
[tex]2x=4[/tex]
[tex]x=2[/tex]
PLEASE HELP ME! WILL MARK BRAINLIEST! I WILL REPORT ABSURD AND INCORRECT ANSWERS!
2. Suppose, 11 numbers are given. When each of them was increased by 1, the sum of their squares did not change. Once again each number is increased by 1. Does the sum of squares change this time, and if so, by how much?
4. Several points were marked on a line after which a point was added between any two neighboring points. This operation was repeated 2 more times, and as a result, there were 65 points on the straight line. How many points were there in the beginning?
Hello, please consider the following.
PART 2
Let's note [tex](x_i)_{1\leq i\leq 11}[/tex] the 11 numbers.
We can write the following
[tex]x_1^2+...+x_{11}^2=(x_1+1)^2+...+(x_{11}+1)^2\\\\=x_1^2+...+x_{11}^2+2(x_1+...+x_{11})+11\\\\\text{So } 2(x_1+...+x_{11})+11 = 0\\\\(x_1+2)^2+...+(x_{11}+2)^2=x_1^2+...+x_{11}^2+4(x_1+...+x_{11})+4*11\\\\\text{As we know that }2(x_1+...+x_{11})+11 = 0\\4(x_1+...+x_{11})+4*11=-11*2+4*11=22[/tex]
So the sum of squares changes by
[tex]\boxed{ \ 22 \ }[/tex]
PART 4
Let's say that we have n points at the beginning.
We will add n-1 points the first time, we will get n + n - 1 = 2n -1 points.
And then, the second time we add 2n - 1 - 1 points and we get
2n - 1 +2n - 2 = 4n - 3.
Finally, we do it a last time, we add 4n - 3 - 1 points and we get 4n - 3 + 4n - 4 points = 8n - 7 and it must be 65.
So, 8n -7 = 65 <=> 8n = 65+7=72 <=> n = 72/8=9
[tex]\boxed{= \ 9}[/tex]
Thank you
The sum of three numbers is 16. The sum of twice the first number, 5 times the second number, and 6 times the third number is 85. The difference between 4 times the first number and the second number is negative 3. Find the three numbers.
Answer:
1, 7, 8Step-by-step explanation:
x, y, z - numbers to find
The difference between 4 times the first number and the second number is negative 3:
4x - y = -3
- y = -3 - 4x
y = 3 + 4x
The sum of three numbers is 16:
x + y + z = 16
x + 4x + 3 + z = 16
5x + z = 13
z = 13 - 5x
The sum of twice the first number, 5 times the second number, and 6 times the third number is 85:
2x + 5y + 6z = 85
2x + 5(3 + 4x) + 6(13-5x) = 85
2x + 15 + 20x + 78 - 30x = 85
-8x + 93 = 85
-8x = -8
x = 1
y = 3 + 4•1 = 7
z = 13 - 5•1 = 8
Veryfying:
1 + 7 + 8 = 16
2•1 + 5•7 + 6•8 = 2 + 35 + 48 = 85
The difference between two numbers is 28. The first number is three times the other number. What are the numbers? A. 14 and 42 B. 26 and 42 C. 14 and 14 D. 15 and 43
Answer: the answer is A
Step-by-step explanation:
1st:subtract 42-14=28(the difference)
2nd: divide 42÷14=3
11. Britney wants to bake at most 0 loaves of bread for a bake sale.
She wants to make banana bread that sells for $1.25 each and
nut bread that sells for $1.50 each and make at least $24 in sales.
Write a system of inequalities for the given situation and
the inequalities.
Answer:
Look at the attachment
If (x – 13) is one factor of x^2– 9x – 52, the other factor is
Which phrase describes the algebraic expression B2+7?
the product of 8 and 7 more than a number
the quotient of 8 and 7
8 times the sum of a number and 7
8 times a number plus 7
Answer:
8 times a number plus 7
Step-by-step explanation:
Which expressions are equivalent to -90-60w
Answer:
Two algebraic expressions are equivalent if they always lead to the same result when you evaluate them, no matter what values you substitute for the variables. For example, if you substitute x := 3 in x + x + 4, then you get 3 + 3 + 4, which works out to 10; and if you substitute it in 2x + 4, then you get 2(3) + 4, which also works out to 10.
Step-by-step explanation:
does anyone know the answer to this ?
Answer:
the horse walked 20 feet away i think
Step-by-step explanation:
i say this because it shows an arrow from a horse to the 20 square feet
Answer:
Step-by-step explanation:
it is a three quarter circle with radius=7.1 ft
reqd. area=3/4 πr²
=3/4×π×7.1²
≈3/4×3.14×7.1²
≈118.72 ft²
WILL GIVE BRAINLIEST AND 20 POINTS! Which function is the inverse of f(x) = -5x -4?
Answer:
-1/5x -4/5 = y
Step-by-step explanation:
f(x) = -5x -4
y = -5x-4
Switch x and y
x = -5y -4
Solve for y
Add 4
x+4 = -5y
Divide by -5
-1/5x - 4/5 = -5y/-5
-1/5x -4/5 = y
Answer:
f(x) = -5x - 4
let f(x)= y
y = -5x -4
x = -5y - 4
-5y = x+4
y = - (x +4)/5
The inverse of f(x) is -(x +4)/5
Hope this helps.
Can someone help me on these two questions?
Answer:
1. 88 degrees
2. x=8
Step-by-step explanation:
1.
In a hexagon, all of the interior angles must add up to 720 degrees. Therefore:
x+125+120+95+120+172=720
x=88
2.
Since opposite sides of a parallelogram are equal:
2x=x+8
x=3x-16
Let's go with the first equation.
2x=x+8
Subtract x from both sides:
x=8
You can plug this into the second equation to ensure it works:
3(8)-16=8
24-16=8
8=8
Hope this helps!
Answer:
1. 88
2. 48
Step-by-step explanation:
1. The total of the inner angles of the hexagon is 720
95+120+120+172+125=632
720-632=88
2. 2x=x+8
x=8
If we put all the x's in place and add them, the result is: 48
I need help with this question
-30(E+H=50)
-30E-30H=-1500
30E+60H=1950
(add the 2 equations)
0E+30H=450
H=15
(plug H into first equation)
E+15=50
E=35
Write the equation of the line with the following characteristics.
a)Parallel to y=7x+2 through the point (0,0)
b)Slope of 2 through the point (0,−3)
c)A horizontal line through the point (0,3)
d)A vertical line through the point (−2,0)
PLZZZZ HELP VERY URGENT
Answer:
y = 7x
y = 2x -3
y = 3
x = -2
Step-by-step explanation:
Slope-intercept form: y= mx+bParallel lines have same slopea)Parallel to y=7x+2 through the point (0,0)
This line will have a form:
y= 7x + bConsidering the given point of (0,0), to find the value of b:
0= 7*0+b ⇒ b =0The line is:
y = 7xb)Slope of 2 through the point (0,−3)
Solving as above:
y= 2x + b-3 = 2*0 + b ⇒ b = -3y = 2x -3c)A horizontal line through the point (0,3)
A horizontal line will have constant value for y for any value of x:
y = 3d)A vertical line through the point (−2,0)
A vertical line will have constant value of x for any value of y:
x= -2solve for x in 4x-4/x+4=10
Answer:
-22/3 =x
Step-by-step explanation:
(4x-4) /(x+4) = 10
Multiply each side by (x+4)
(4x-4) /(x+4) * (x+4) = 10 * (x+4)
(4x-4) = 10 * (x+4)
Distribute
4x-4 = 10x+40
Subtract 4x from each side
4x-4-4x = 10-4x+40
-4 = 6x+40
subtract 40 from each side
-4 -40 = 6x+40-40
-44 = 6x
Divide each side by 6
-44/6 = -6x/6
-22/3 =x
Answer:
x = -22/3
Step-by-step explanation:
4x - 4 / x + 4 = 10
=> 4x - 4 = 10(x + 4)
=> 4x - 4 = 10x + 40
=> 4x - 10x = 40 + 4
=> -6x = 44
=> x = -44/6
=> x = -22/3