Answer:
B
Step-by-step explanation:
Carson is a high school student with two part-time jobs. He earns $6 per hour for babysitting, and he earns $8 per hour doing clerical work for his father's business. His goal is to earn at least $96 a week, but because of school, he does not want to work more than 15 hours each week. Suppose Carson worked as a babysitter for 5 hours one week. What is the minimum number of full hours he would need to work at his father's business to earn at lease $96 that week?
Step-by-step explanation:
Step one:
let the hours for babysitting be x
and the hours for doing clerical be y
we are told that Carson would like to earn $96 weekly
She babysits for $6 per hour
and earned $8 per hour doing clerical work
6x+8y=96---------------1
Carson cannot work more than a total of 15 hours per week
5x+y≤15-------------2
The system of equation for the situation is
6x+8y=96
5 x+y≤15
y=15-5 x
put y=15-5 x in eqn 1
6x+8(15-5 x)=96
6x+120-40x=96
collect like terms
6x-40x=96-120
-34x=-24
x=24/34
x=0.7
Approximately 1 hour babysitting
put x= 0.7 in 5x+y≤15
5(0.7)+y≤15
3.52+y≤15
y≤15-3.52
y=11.4
Approximately 11 hours doing clerical work
Step-by-step explanation:
Step one:
let the hours for babysitting be x
and the hours for doing clerical be y
we are told that Carson would like to earn $96 weekly
She babysits for $6 per hour
and earned $8 per hour doing clerical work
6x+8y=96---------------1
Carson cannot work more than a total of 15 hours per week
5x+y≤15-------------2
The system of equation for the situation is
6x+8y=96
5 x+y≤15
y=15-5 x
put y=15-5 x in eqn 1
6x+8(15-5 x)=96
6x+120-40x=96
collect like terms
6x-40x=96-120
-34x=-24
x=24/34
x=0.7
Approximately 1 hour babysitting
put x= 0.7 in 5x+y≤15
5(0.7)+y≤15
3.52+y≤15
y≤15-3.52
y=11.4
Approximately 11 hours doing clerical work
Paula has a new beaded necklace. 70% of the 100 beads on Paula's necklace are blue. How many blue beads are there on Paula's necklace?
Answer:
70
Step-by-step explanation:
70% of 100 is 70 meaning there would be 70 blue beads
20%= 2/?. What is the question mark?
5
100
10
20
Answer:
10
Step-by-step explanation:
Write each fraction as a percent.
8/20
Answer:
40%
Step-by-step explanation:
8/20=0.4
0.4=40%
A local amusement park has 30 rides that park visitors can go on. The following table shows the relative frequency distribution for the number of rides that a park visitor will typically go on during one day at the park. The table also shows the deviation, or difference, from 21, the mean of the distribution. Number of rides and attractions 10 15 20 25 30 Deviation −11 −6 −1 4 9 Relative frequency 0.1 0.2 0.2 0.4 0.1 Which of the following is closest to the standard deviation of the distribution? 5.83 5.83 A 7.07 7.07 B 7.90 7.90 C 20 20 D 34
Answer:
5.83
Step-by-step explanation:
Find the mean:
10(.1) + 15(.2) + 20(.2) + 25(.4) + 3-).1)
u = 21
Find the standard deviation:
[tex]\sqrt{(10 -21)x^{2} (.1) + (15 -21)x^{2} (.2)+(20-21)x^{2} (.2)+(25-21)x^{2} (.4)+(30-21)x^{2} (.1)}[/tex]= 5.83
The standard deviation is of 5.83.
The expected value is given by each value multiplied by it's relative frequency, thus:
[tex]E(X) = 0.1(10) + 0.2(15) + 0.2(20) + 0.4(25) + 0.1(30) = 21[/tex]
The standard deviation is given by the square root of the sum of the difference squared of each value and the mean, multiplied by it's relative frequency.
Then:
[tex]\sqrt{V(X)} = \sqrt{0.1(10 - 21)^2 + 0.2(15 - 21)^2 + 0.2(20 - 21)^2 + 0.4(25 - 21)^2 + 0.1(30 - 21)^2} = 5.83[/tex]
The standard deviation is of 5.83.
A similar problem is given at https://brainly.com/question/24628525
A line passes through the points (1, -6) and (4,3). What is the y-intercept of this line?
○ -9
○ -3
○ 3
○ 9
What is the lowest common denominator
Answer:
3 and 8
Step-by-step explanation:
3 and 8 because 8 can only divide by 2 or four and get 4 and 2, and 3 can not get to any of these number.
PLEASE HELP SOLVE THIS
Answer:
-3
Step-by-step explanation:
hope this helps
for geometry:(
will give brainist!!
Step-by-step explanation:
that's ur answer
I hope you understand
20 POINTS TO FIRST CORRECT ANSWER! Sorry for the bad quality!!
Answer:2=42 3=82 4=122
Step-by-step explanation:
If there is already 2, all you have to do is take away 2 from 162 and then divide by the empty spaces (in this case 4) 160/4 = 40.
PLS HELP
The owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb. He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb. How many pounds of each should the owner use?
_ pounds of chocolate candies
Answer:
9 pounds of chocolate candies
6 pounds of sugar candies
Step-by-step explanation:
x + y = 15
y = 15 - x
(7x + 2y) / 15 = 5
7x + 2y = 15 * 5 = 75
7x + 2 * (15 - x) = 75
7x + 30 - 2x = 75
5x = 45
x = 9
15 - 9 = 6
y = 6
9 pounds of chocolate candies and 6 pounds of sugar candies
The owner should use 6 pounds of the chocolate candies, and the other 9 pounds of the sugar candies.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given that owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb.
He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb.
x + y = 15
y = 15 - x
(7x + 2y) / 15 = 5
7x + 2y = 15 x 5 = 75
7x + 2 (15 - x) = 75
7x + 30 - 2x = 75
5x = 45
x = 9
Now 15 - 9 = 6
y = 6
Threfore, we conclude that 9 pounds of chocolate candies and 6 pounds of sugar candies.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
CAN SOMEONE PLEASE HELP ME ON NUMBER 3
Answer:
36
Step-by-step explanation:
PLEASE HELP! its due todayy :D
Since both points are positive, they are located in the I quadrant.
Answer:
quadrant one
Step-by-step explanation:
This is simple though the 8 is not on the graph the numbers are both positive so it's quadrant one :)
elias is training for a marathon. The table shows the total number of miles he has run each 0 I
1 I 9 sorry i could not make a line so i use this > I for a line Please what is the rate.
2 I
3 I 21
4 I
5 I 33
Answer:
rate of 6
Step-by-step explanation:
Pleases help thank you
Answer:
my bad
The correct answer is C
Step-by-step explanation:
hopr it helps
have a great day
:)
I NEED HELP ASAP....................................................
Answer: what’s the question?
Step-by-step explanation:
EASY POINTS PLEASE HELP ASAP
Answer:
X=6
Step-by-step explanation:
Subtract 1 from 2.5 to get 1.5
Multiply by 4 to get 6
So, X=6
Answer:
x=6
Step-by-step explanation:
6/4=1.5
and 1.5+1=2.5
can someone help me plz 2a+1=1
Answer:
0
Step-by-step explanation:
2a+1=1
2a=0
--- ---
2 2
a=0
Answer:
A=0
Step-by-step explanation:
2a+1=1
2a=1-1 (i moved +1 to the other side ...coz our goal is to isolate "a", and in order to do this, look for numbers that are freer)(moving the +1 to the other side made it -1)(you just need to remember that when we move any number to the other side it will claim its opposite operation so +1 will turn to -1)
2a=0 (1-1=0)
a=0/2 (now, 2 is being multiplied with a, and to isolate "a" we move 2 to the other side, and this will make to divide ((because the opposite of multiplication is division)) )
a=0 (the ans!)
The top question asap
Answer:
A= 50
Step-by-step explanation:
Very interesting to see!
x= -1
and the both angles are equal!
Garvin is painting the outside of the house. One can of paint will cover 2/9 of the house.Garvin has already used 4 can of paint . How much surface is already painted
Answer:
4 cans of paint will cover 8/9 of the surface
Step-by-step explanation:
One can of paint covers 2/9 of the house.
Garvin has used 4 of those cans.
To get the fraction of the whole surface that has been covered by those 4 cans of paint, we can multiply, following the logic below:
1 can of paint covers = 2/9 of the surface
4 cans of paint will cover = x of the surface
x = 4 X 2/9 = 8/9
Therefore, 4 cans of paint will cover 8/9 of the surface
Find the common difference of the arithmetic sequence –9, -7, -5, ...
PLS HELP WORTH 20 POINTS
Answer:
all the sides are the same so it would be 5
Step-by-step explanation:
The police brutality is that way too long
Answer: no its fine i guess
Step-by-step explanation:
Answer:If you are saying what is the cause of police brutality then this is your answer:
These efforts have identified various core issues that contribute to police brutality, including the insular culture of police departments (including the blue wall of silence), the aggressive defense of police officers and resistance to change in police unions, the broad legal protections granted to police officers...
Hope this helps... Stay safe and have a great day/night!!! :D
Help please I’m taking my iready testtt
evaluate he expression for x=4
Answer:
41
Step-by-step explanation:
Step 1:
12x - 7 Equation
Step 2:
12 ( 4 ) - 7 Input x value
Step 3:
48 - 7 Multiply
Answer:
41 Subtract
Hope This Helps :)
Answer:
Step-by-step explanation:
steps are below
step 1
12x-7 equation
12(4)-7
step 2
(12)(4)-7 Evaluate the equation
step 3
48-7
41 answer
idk what to put here lol
Answer:72
Step-by-step explanation:
The big one is 4 times the small one
Either Table A or Table B shows a proportional relationship.
Table A
x −2 −1 0 1
y 2 3 0 5
Table B
x −1 0 1 2
y −3 0 3 6
Plot the points from the table that shows a proportional relationship.
Answer:
the answer is table B
Step-by-step explanation:
Answer:
Table B shows a proportional relationship
Explanation:
In a proportional relationship two quantities vary directly with each other.
So,
y ∝ x
y = kx
Where, k is the constant of variation.
The ordered pairs of table A are (-2,2), (-1,3), (0,0) and (1,5).
From these ordered pairs we can conclude that the value of y-coordinate is not changing according to the x-coordinate because the values of x increased by 1 for each ordered pair but the value of y is not increasing in the same proportion..
The ordered pairs of table B are (-1,-3), (0,0), (1,3) and (2,6). The value of y increasing at a constant rate 3 and the value of y-coordinate is 3 times of x-coordinate.
Choose any two ordered pairs of table B. Let the two points are (0,0) and (1,3).
The proportional relationship is defined as
y = 3x
Therefore, 3 is the constant of variation and rate of change.
So, Table B shows a proportional relationship.
Chad worked for 4 3/5 hours and earned $34.73.
How much would he make if he worked for 6 1/5 hours?
Enter your answer in the box.
$
Answer:
2.3
Step-by-step explanation:
The table shows the participation in a school's debate club during the last four years.
Year
1 2 3 4
Students
14
19
25
33
Between which two years did the club see the greatest growth? By what percent did it grow?
The greatest growth was between years 3 and 4. The growth between those years was about 32%.
The greatest growth was between years 1 and 2. The growth between those years was about 5%.
The greatest growth was between years 3 and 4. The growth between those years was about 8%.
o The greatest growth was between years 1 and 2. The growth between those years was about 36%.
Answer:
The greatest growth was between years 1 and 2. The growth between those years was about 36%.
Step-by-step explanation:
Divide 19 by 14 to check, it gets you 1.357 which rounds to 1.36, or an increase of 36%
suppose a+b=10 and the value of a increases by 1. If the sum remains the same, what must happen to the value of b?
Answer:
[tex]b[/tex] decreases by [tex]1[/tex]
Step-by-step explanation:
If the value of [tex]a[/tex] increases by [tex]1[/tex] and the sum remains the same, then the value of [tex]b[/tex] decreases by [tex]1[/tex].
Example:
Suppose [tex]a=7[/tex] and [tex]b=3[/tex].
[tex]a+b = 10[/tex]
[tex]b = 10-a[/tex] (minus [tex]a[/tex] on both sides)
Now, let [tex]a = 8[/tex] ([tex]a[/tex] has increased by [tex]1[/tex]):
[tex]b = 10-8[/tex]
[tex]=2[/tex]
From the comparison of the previous value of [tex]b[/tex] to the current value of [tex]b[/tex], the value of [tex]b[/tex] has decreased by [tex]1[/tex].
Hope this helps :)