[tex]6(3 - 2z) = 42 \\ 18 - 12z = 42 \\ - 12z + 18 - 42 = 0 \\ - z + \frac{3}{2} - 2 = 0 \\ z = - \frac{3}{2} + 2[/tex]
the answer is ....
i hope it helps u
Mike gets an 8% commission on the sporting goods that he sells.one day he sold sporting goods worth 1,384 find his commission for that day
Given:
Mike gets an 8% commission on the sporting goods that he sells.
One day he sold sporting goods worth 1,384.
To find:
The commission for that day.
Solution:
According to the given information,
Commission = 8% of total sales of sporting goods
One day he sold sporting goods worth 1,384. Then, the commission for that day is
[tex]\text{Commission}=\dfrac{8}{100}\times 1384[/tex]
[tex]\text{Commission}=\dfrac{11072}{100}[/tex]
[tex]\text{Commission}=110.72[/tex]
Therefore, the commission for that day is 110.72.
A car travels a distance of 50km in 30mins. what is the average speed?
Answer:
r = 100 km/hr is the average speed of the car.
Step-by-step explanation:
The formula which relates distance d, time t, and speed or rate of travel r is:
d = rt.
We're given that the distance traveled d = 50 km and the time t traveled = 30 minutes = 1/2 hr. Substituting this given information into the distance-rate-time formula for d and t to find r, we get:
50 km = r(1/2 hr)
Now, dividing both sides by 1/2 hr, we have:
50 km/(1/2 hr) = [r(1/2 hr)]/(1/2 hr)
50 km/(1/2 hr) = r[(1/2 hr)/(1/2 hr)]
[50 km/(1/2)] km/hr = r[(1/2 hr)/(1/2 hr)]
50(2/1) km/hr = r[1]
100 km/hr = r[1]
r = 100 km/hr is the average speed of the car.
look at the attachment
Answer:
choice 1: m = 6 1/2
Step-by-step explanation:
m - 2 1/2 = 4
add 2 1/2 to each side of the equation:
m - 2 1/2 + 2 1/2 = 4 + 2 1/2
m = 6 1/2
Mrs. Torchia picked 54 flowers, which represents 60% of all the flowers in her garden.How many flowers are left in Mrs. Torchia’s garden?
What is the length of arc S shown below?
S
2
7 cm
The angle in the figure is a central angle in radians.
Answer: S= 14 cm
Step-by-step explanation:
Answer: 14
Step-by-step explanation: Khan Academy
Solve the equation for the value of x
-15x=45
Show your work please, thank you.
Answer:
x=-3
Step-by-step explanation:
-15x=45
x=-45/15
x=-3
Answer:
okay x=-3
Step-by-step explanation:
-15x=45
-15/-15=45/15
x=-3
My teacher wants me to answer questions 1-10 with work shown. It can be any kind of work as long as it shows how you got the answers.
Answer:
use the app photomath its free. and shows you all the steps
Step-by-step explanation:
Someone Help Me Pleaseee
Answer:
II
Step-by-step explanation:
According to the graph,,,,they soent atleast abit over $100 so it can be choice a,secondly there bill had only manage to decrease about three times but only increased once so the answer is II only
HELP PLSSSSSSSSSSSSSSSSSSSSSSS
Answer:
3) not equivalent
4) equivalent multiply by 2
5) equivalent multiply by 2
A worker at a snack stand opened a new box of cups. The first day, the worker used
30 cups from the box. The second day, the worker used 15% of the remaining cups in the
box. A total of 90 cups were used on the second day. What was the original number
of cups in the box before any cups were used?
A
400
B
570
с
630
D
800
A new phone system was installed last year to help reduce the expense of personal calls that were being made by employees. Before the new system was installed, the amount being spent on personal calls follows a normal distribution with an average of per month and a standard deviation of $50 per month. Refer to such expenses as PCE's (personal call expenses). Find the point in the distribution below which 2.5% of the PCE's fell.
Answer:
The point is [tex]\mu - 98[/tex], in which [tex]\mu[/tex] is the average per month.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Normal distribution with an average of per month and a standard deviation of $50 per month.
Average of [tex]\mu[/tex], standard deviation [tex]\sigma = 50[/tex]
Find the point in the distribution below which 2.5% of the PCE's fell.
This is below the 2.5th percentile, which is the X when Z has a pvalue of 0.025, so X when Z = -1.96.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.96 = \frac{X - \mu}{50}[/tex]
[tex]X - \mu = -1.96*50[/tex]
[tex]X = \mu - 98[/tex]
The point is [tex]\mu - 98[/tex], in which [tex]\mu[/tex] is the average per month.
You now have $4000. You will toss a fair coinup tofour times. Before each toss you can bet any amount of your money (including none) on the outcome of the toss. If heads comes up, you win the amount you bet. If tails comes up, you lose the amount you bet. Your goal is to reach $6000. It turns out that you can maximize your chance ofreaching$6000 by betting either the money you have on hand or $6000minus the money that you have on hand, whichever is smaller. Use simulation to estimate the probability that you will reach your goal with this betting strategywith the initial budget $4000.
Answer:
Since we want to bet the smaller amount, $6000 - budget, each time, we will be betting $2000 dollars each time. We know the odds of landing on heads with a coin is a %50 chance. Now if we get heads we can win. If we do not get heads we are left with $2000. Follow the betting equation again. $6000 - $2000 = $4000. We do not have $4000 so we will bet $2000. Once again we have a %50 chance of winning. If we win we will have $4000. If we loose, we will be left with nothing. If we were to loose, we would no longer be able to reach our goal because lack of money. Now lets say we won. We would have $4000 again so we would have to repeat like before. We would bet $2000 and if we win, we reach the goal. If we lost, we would also have to repeat steps before. This means the game could be over in 1 flip but could go on forever.
Please help
Y = 475x + 250
Y = 565x + 100
Answer:
1,390x
Step-by-step explanation:
Y = 475x + 250 = 725x
Y = 565x + 100 = 665x
If your look for the sum, its 1,390x
Heather traveled at a
constant rate. She drove
162 miles in 3 hours.
How far in miles, did
Heather drive in 1 hour?
Answer:
54 miles
Step-by-step explanation:
divide 162/3.
Consider the line plot below.
What is the median of the data?
What is the mean?
3(x+2)=15
I just need help with this problem please.
Answer:
x=3
Step-by-step explanation:
Divide both sides by 3
3(x+2)/3 = 15/3
You get x+2=5, subtract 2 from each side
x+2(-2)=5(-2)
x=3
someone help me plz :-(:-(
Judy built a rectangular patio that is 9 units wide and has a perimeter of 40 units.
Which image correctly labels the given information?
Answer:
See attachment for image
Step-by-step explanation:
Given
[tex]Width = 9[/tex]
[tex]Perimeter = 40[/tex]
Required
The image that illustrates the patio
The question is incomplete as the possible images are not given. So, I will attach an image that illustrates the scenario.
But first, the length of the patio must be calculated using perimeter formula
[tex]Perimeter = 2 *(Length + Width)[/tex]
[tex]40 = 2 *(Length + 9)[/tex]
Divide both sides by 2
[tex]20 = Length + 9[/tex]
Solve for Length
[tex]Length = 20 - 9[/tex]
[tex]Length = 11[/tex]
This implies that the dimension of the patio is 11 units by 9 units (See attachment)
the solution of the equation x2-6x=0 is ?
Shannon is creating a scale drawing of her classroom. If she is using the scale 1/2 inch = 1 foot and the room model is 10 inches by 15 inches, what are the dimensions of the actual room. Please help me!
Answer:
30 foot by 20 foot
Step-by-step explanation:
1 inch = 10 inch
2 foot = d foot
Cross products: 1xd=2x10
d=20foot
1 inch = 15 inch
2 foot = d foot
Cross products: 1xd=2x15
d=30foot
of 20 possible books you plan to take 5 with you on vacation. how many different collections of 5 books can you take?
Refrigerators are able to transfer energy out of a substance. AT first the
substance is a gas but then it changes so first the molecules
A-vibrate in place but then the move apart from each other
B-are far apart but when energy leaves the particles move more closely around each
other
C-are moving close together very quickly and then very far apart suddenly
Answer:
C- are moving close together very quickly and then very far apart suddenly
Use the figure below and 2-3 sentences to explain the following:
The side opposite angle E is side ____?
The side adjacent to angle E is side ____?
The hypotenuse is side ____?
Answer/Step-by-step explanation:
The triangle given is a right triangle
Reference angle = angle E
Thus:
The side that is opposite to angle E is side DF = e
The side that is adjacent to angle E is side EF = d
The hypotenuse side is the longest side that is opposite go the right angle of the triangle = DE = f
Find arc DC pls I’m stuck on this problem
Answer:
[tex] m\overset{\Large\frown}{ABC} \: = \: 196° [/tex]
I need help
Please ?!!!!!!
Answer:
High blood pressure
Step-by-step explanation:
Possible DEATH
Answer:
High blood pressure
Step-by-step explanation:
High blood pressure is dangerous
Simplify 2-4(4x+1)-(6x-5)
Which of the following scatterplots would have a trend line with a negative slope?
Answer:
Step-by-step explanation:
If we let the points in the first graph define the position and slope of a line through the points, this line would have a negative slope and a negative trend line. As x increases, y decreases.
Answer: it’s A. I took the test.
Step-by-step explanation:
the Beatles are better than the stones and that is a fact
HELP ASAP PLEASE NO LINKS
Question 1(Multiple Choice Worth 3 points)
(07.04)
The solution to 6x = 48 is x =
05
06
07
08
Mr Baxter deposits 2,000 in an account that earns %5 simple interest how much is mr Baxter investment after 8 years?
Answer:
$2,800
Step-by-step explanation:
The formula for simple interest is I = PRT, where I is the interest (earned or paid), P is the principal amount invested/borrowed, R is the rate in decimal form, and T is the time in years.
I = (2000)(0.05)(8)
I = $800
Then we add that to the principal to get $2,800
---------------------------------
Joey made a deposit into an account that earns 6% simple interest. After 3 years, Joey earned $400. How much was Joey's initial deposit?
I = PRT
400 = P(0.06)(3)
400 = 0.18P
P = $2,222. 22
----------------------------------------
Peter is calculating the interest earned on a deposit of $275 in an account that earns 8% simple interest after 12 years. What is the ??? guessing interest earned?
I = PRT
I = (275)(0.08)(12)
I = $264
------------------------------------
Neil's grandmother has left him a small inheritance of $6,000. Neil would like to invest it at a rate of 5% interest. What is the simple???
I = PRT
I = (6000)(0.05)(T)
Please let me know if you have questions, or want to fill in the missing information on questions 3 & 4.
Johnny wants to invest $10,000 at 4.5% interest rate compounded quarterly, How much will he have after 38 years?
Answer:
a= $54764.26
Step-by-step explanation:
r=R/100
r=4.5/100
r=0.045 rate per year
A = P(1 + r/n)nt
A = 10,000.00(1 + 0.045/4)(4)(38)
A = 10,000.00(1 + 0.01125)(152)
A = $54,764.26