Expand and simplify 3(y+2)+4(x-1)
Answer:
4x + 3y + 2
Step-by-step explanation:
3(y + 2) + 4(x - 1)
3y + 6 + 4x - 4
4x + 3y + 2
Hillside Travel pays its employees $16 per hour plus 8% commission on all trips booked. Tyrus worked 20 hours last week and booked trips amounting to $2,100. What was his gross pay for last week? fill in the blank 1
Answer:
$368
Step-by-step explanation:
His gross pay was $368 for last week.
What is the commission?The commission is determined by the product of the commission rate and the total sales.
Commission = Commission rate x Total sales
As per the question, we have data :
Hourly rate $10
Commission rate =8%
Number of hours worked-20
Total sales $2,100
The gross pay is the product of the hourly rate and the number of hours worked.
Gross pay Hourly rate × Number of hours worked
= $10 × 20
= $200
We know that,
Commission = Commission rate x Total sales
= 8% x $2,100
= 0.08 x $2,100
= $168
The total pay is then the gross pay increased by the commission:
Total pay = Gross pay + Commission
Total pay = $200+ $168
Total pay = $368
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Several hours after departure the two ships described to the right are 50 miles apart. If the ship traveling south traveled 10 miles farther that the other how many miles did they each travel.
Answer:
[tex]Ship\ A = 40\ miles[/tex]
[tex]Ship\ B = 30\ miles[/tex]
Step-by-step explanation:
Given
[tex]d = 50[/tex] --- distance apart
[tex]Ship\ B = x[/tex]
[tex]Ship\ A = x + 10[/tex]
The question can be represented with the attached image.
Required
Solve for x
Using Pythagoras theorem, we have:
[tex]x^2 + (x + 10)^2 = 50^2[/tex]
Open bracket
[tex]x^2 + x^2 + 20x + 100 = 2500[/tex]
Collect like terms
[tex]x^2 + x^2 + 20x + 100 - 2500 = 0[/tex]
[tex]2x^2 + 20x -2400 = 0[/tex]
Divide through by 2
[tex]x^2 + 10x -1200 = 0[/tex]
Expand
[tex]x^2 + 40x - 30x -1200 = 0[/tex]
Factorize
[tex]x(x + 40) - 30(x +40) = 0[/tex]
Factor out x + 40
[tex](x - 30)(x +40) = 0[/tex]
Split and solve for x
[tex]x - 30 = 0\ or\ x + 40 = 0[/tex]
[tex]x = 30\ or\ x = -40[/tex]
Distance can not be negative
So:
[tex]x = 30[/tex]
Recall that:
[tex]Ship\ B = x[/tex]
[tex]Ship\ A = x + 10[/tex]
This implies that:
[tex]Ship\ B = 30\ miles[/tex]
[tex]Ship\ A = 30 + 10\ miles[/tex]
[tex]Ship\ A = 40\ miles[/tex]
Let's say you have a 4 gallon and a 10 gallon pailHow can you measure exactly 2 gallons of water?
You can fill the 10 gallon pail all the way up. After that, you can pour the water from the 10 gallon pail, into the 4 gallon pail 2 times. That will leave you with 2 gallons in the 10 gallon pail.
Which set of numbers is ordered from least to greatest?
Answer:
B.3.2 ,3.317 ,3.606 ,3.61.
Step-by-step explanation:
i guess that is the answer,but if it isn't tell me I may try it again.good day.
A development expert wants to use a one-sample z interval to estimate the proportion of women aged 16 and over that are literate in Albania. They take an SRS of 50 women from this population and find that 48 are literate.
Which conditions for constructing this confidence interval did their sample meet?
Answer: The data is a random sample from the population of interest. Individual observations can be considered independent.
Step-by-step explanation:
The condition for constructing this confidence interval :
A) The data is a random sample from the population of interest.
C) Individual observations can be considered independent.
The correct options are A and C.
What is a confidence interval?A confidence interval is a range of values that are constrained by the statistic's mean and that are likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.
Given:
A development expert wants to use a one-sample z interval to estimate the proportion of women aged 16 and over that are literate in Albania. They take an SRS of 50 women from this population and find that 48 are literate.
From the given choices:
The condition for constructing this confidence interval :
A) The data is a random sample from the population of interest.
C) Individual observations can be considered independent.
Therefore, A and C are the correct options.
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The complete question:
A development expert wants to use a one-sample zzz interval to estimate the proportion of women aged 16 and over that are literate in Albania. They take an
SRS of 50 women from this population and finds that 48 are literate.
Which conditions for constructing this confidence interval did their sample meet?
Choose all answers that apply:
A
The data is a random sample from the population of interest.
B
The observed counts of successes and failures are both sufficiently large.
C
Individual observations can be considered independent.
a slice of a right square pyramid perpendicular to its base but not through its top vertex
A. Square
B. Trapezoid
Answer:
This is a trapezoid.
Step-by-step explanation:
David’s watch broke. He decides to get it fixed instead of replacing it. The total cost to repair the watch can be represented by 0.07(45h) + 45h, where h represents the number of hours it takes to repair the watch. What part of the expression represents the amount of tax David has to pay? Explain.
What is volume of cube 3 2/3 all sides
At Gabrielle's Restaurant, 2/5 of the dishes on the menu are vegetarian, or the vegetarian
dishes, 3/4 are pasta dishes. What fraction of the dishes on the menu are vegetarian pasta
dishes?
Sally's bank account had a balance of 230 at the beginning of the month. She had two deposits of 50 and 420 and just one withdrawal of 190. Her balance at the end of the month was $______ ?
Answer:
510
Step-by-step explanation:
Sally bank account had a beginning balance of 230
She made two deposits of 50 and 420
50+420
= 470
She made a withdrawal of 190
Therefore her balance at the end of the month can be calculated as follows
470+230
= 700
= 700-190
= 510
Hence the balance at the end of the month is 510
A ball is tossed into the air. The quadratic function
h(t) = -16t2 + 14t + 5 represents the situation, where t
represents the time, in seconds, after the ball is tossed
and h(t) represents the height of the ball, in feet. Which
of the following statements is NOT true?
Answer: The leading coefficient indicates that the graph of the parabola that represents the ball’s height over time will open in an upward direction
Step-by-step explanation:
Please help me but no links
Answer:
I think you got to time it all togther and the answer would be 531.44m^3
Step-by-step explanation:
(5.2×7×14.6)mmm
(36.4×14.6)mmm
531.44m^3
Sunny Horizon Cellular’s phone plan has a monthly fee of $10.00 and charges $0.10 for every minute used. Stephan’s bill for the month was $23.80. If the equation that models this situation is (0.10)m + 10.00 = 23.80, use inverse operations and properties of equality to find the number of minutes Stephan talked during the month.
Answer:
She talked for 138 minutes
Step-by-step explanation:
Round 367.25 to the nearest 100th of a second
Ice cream: A certain ice cream parlor offers fifteen flavors of ice cream. You want an ice cream cone with three scoops of ice cream, all different flavors.
Part 1 of 2
In how many ways can you choose a cone if it matters which flavor is on top, which is in the middle and which is on the bottom?
de
The number of ways to choose a cone, if order matters, is
Answer:
The number of ways to choose a cone, if order matters, is 45.
Step-by-step explanation:
Given that a certain ice cream parlor offers fifteen flavors of ice cream, and you want an ice cream cone with three scoops of ice cream, all different flavors, to determine in how many ways you can choose a cone if it matters which flavor is on. top, which is in the middle and which is on the bottom, the following calculation must be performed:
15 x 3 = X
45 = X
The number of ways to choose a cone, if order matters, is 45.
Which one is the missing number?
Answer:
Step-by-step explanation:
1 or 4 im not sure
Draw an equilateral triangle of perimeter 10 centimetres.
Answer:
See attachment for triangle
Step-by-step explanation:
Given
Shape: Equilateral triangle
[tex]Perimeter = 10cm[/tex]
Required
Draw the triangle
First, we determine the side lengths.
The perimeter of an equilateral triangle is:
[tex]Perimeter = 3 * Length[/tex]
So, we have:
[tex]10= 3 * Length[/tex]
Solve for Length
[tex]Length = \frac{10}{3}[/tex]
[tex]Length = 3.33[/tex]
See attachment for triangle
Does anyone know the answer to this?
Answer:
x=18 and y=106
Step-by-step explanation:
answer this asap I'm desperate :( ...we both were sweating like two pigs" is an example of...
allusion
metaphor
hyperbole
simile
Answer:
sorry
Step-by-step explanation:
don't know I m in 8th
I will surely help you
Answer:
Simile
Step-by-step explanation:
A simile is a figure of speech that directly compares two things. Similes differ from other metaphors by highlighting the similarities between two things using comparison words such as "like", "as", "so", or " than", while other metaphors create an implicit comparison.
Hope this helps! If you have any questions revolving around this topic,feel free to ask me and I will be happy to help!
What is the mean of the following data set? 6, 7, 3, 8, 6, 6, 2, 9, 7 A 8 B 9 C 6 D 7
Answer:
The mean is 6.
Step-by-step explanation:
There are 150 people in the library. If 60 of them are girls, what percent of the people in the library are girls?
Answer:
40% are girls
Step-by-step explanation:
60/150=0.4=40%
The sum of 2 numbers is 11 and the difference is 5
Answer:
let no. be x and y.
we have
x+y=11.......(1)
x-y=5........(2)
adding equation 1&2
x+y+x-y=11+5
2x=16
x=16/2=8
again
8-y=5
y=8-5=3
:.
x=8,y=3
Carmen runs each lap in 4 minutes. She will run less than 28 minutes today. What are the possible numbers of laps she will run today?
Answer:
# of laps < 28, the number of laps will be less than 28.
1 lap = 4 minutes
28 laps = 112 minutes
Because we want less than 28 laps,
27 laps = 108 minutes
She can run any amount of laps less than 28.
Becca and Kimberly are running at a constant speed in a marathon. Becca runs at 4.5 miles per hour. Kimberly’s progress is shown in the table.
Part A: Who runs faster?
Part B: If Becca and Kimberly are 5 hours into a marathon, how far has each run?
Answer:
Part A: Kimberly
Part B:
Becca = 22.5 miles, Kimberly = 25 miles
Step-by-step explanation:
Part A:
Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.
Let x = time
y = distance
k = speed = y/x
Equation for each person can be written as: y = kx
Therefore:
✔️Equation for Becca if k = 4.5
y = 4.5x
✔️Find k (speed) of Kimberly using (2, 10):
Speed (k) = y/x
k = 10/2
k = 5 miles per hour
Equation for Kimberly would be:
y = 5x
Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.
Part B:
For Becca, substitute x = 5 into Becca's equation, y = 4.5x
Thus:
y = 4.5*5 = 22.5 miles
For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x
Thus:
y = 5*5 = 25 miles
Find the volume of a pyramid with a square base, where the perimeter of the base is 16.1 ft and the height of the pyramid is 12.1 ft. Round your answer to the nearest tenth of a cubic foot?
Answer: V= 65.3 ft^3
What is the simplest form of 1/6 divided by 2
Answer:
1/12
hope this helps
have a good day :)
Step-by-step explanation:
The solution is 1/12 , is the simplest form of 1/6 divided by 2.
What is division?Division is the process of splitting a number or an amount into equal parts.
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
1/6 divided by 2
i.e. 1/6÷ 2
=1/6* 1/2
=1/12
Hence, The solution is 1/12 , is the simplest form of 1/6 divided by 2.
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The lifetime of a certain type of calculators is normally distributed. If the mean is 400 hours and the standard deviation is 50 hours, for a group of 5000 batteries, how many are expected to last
1.between 350 hrs to 450 hours
2.more than 300 hours
3.less than 300 hours
Answer:
1. 3413
2. 4886
3. 114
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.
Mean is 400 hours and the standard deviation is 50 hours
This means that [tex]\mu = 400, \sigma = 50[/tex]
1. Between 350 and 450 hours:
The proportion is the pvlaue of Z when X = 450 subtracted by the pvalue of Z when X = 350.
X = 450:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{450 - 400}{50}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413.
X = 350:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{350 - 400}{50}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587.
0.8413 - 0.1587 = 0.6826
Out of 5000:
0.6826 out of 5000. So
0.6826*5000 = 3413
3413 are expected to last between 350 hours and 450 hours.
2.more than 300 hours
The proportion is one subtracted by the pvalue of Z when X = 300.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{300 - 400}{50}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
1 - 0.0228 = 0.9772
Out of 5000:
0.9772of 5000 is
0.9772*5000 = 4886
4886 are expected to last more than 300 hours.
3.less than 300 hours
4886 are expected to last more than 300 hours, so 5000 - 4886 = 114 are expected to last less than 300 hours.
Function f is differentiable and decreasing for all real numbers. If y=f(2x^3 - 3x^2), for which of the following intervals of x will the value of y NOT be decreasing?
Answer:
The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.