Brett will get paid $55.68 for travelling a total of 87 kilometers at an allowance of 54 cents per kilometer.
According to the International System of Units (SI), one kilometer is equal to 1,000 meters in American English. The United States and the United Kingdom are significant outliers, where the statute mile is the unit of measurement used to express distances between geographical locations on land.
One Kilometer is roughly equivalent to 0.621 miles.
Brett delivers produce for the farmer using his truck.
He gets paid a travel allowance of 64 cents per kilometer.
So to calculate his total allowance we multiply the allowance with the distance travelled.
Brett gets paid: $0.64×87=$55.68
Hence Brett gets paid $55.68. So the first option is correct.
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I am very confused with this question
HELP PLEASE!!!! Solve the following:
The solution to the equation (1/4)(12x - 5.6) = 0.5(3x + 0.7) gives the result x = 7/6
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
(1/4)(12x - 5.6) = 0.5(3x + 0.7)
Opening the bracket gives:
3x - 1.4 = 1.5x + 0.35
x = 7/6
The solution to the equation (1/4)(12x - 5.6) = 0.5(3x + 0.7) gives the result x = 7/6
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A coin marked “0” and “1” is tossed an infinite number of times, the probability of 1 in any toss being equal to p 2 (0, 1). The resulting sequence (outcome) ! is parsed into consecutive blocks of increasing length: 2, 4, 6,..., etc. What is the likelihood that, in infinitely many of these blocks, the first half of the terms are either all 0’s or all 1’s?
It is very less possibilities that the first half of the terms are either all 0's or all 1's.
According to the question, the probability to toss the coins which are marked as 0 or 1 is: 2
And the getting favorable outcomes that is 0 or 1: 1
Therefore, the probability for the given possibility is written as:
P(A) = n(A)/n(S) = 1/2
Hence, for infinite times, it is the half of the possibilities that the first half is either 0 or 1.
What is probability?
Probability can be defined as the outcomes which can be predicted or which can be calculated. It is the ratio of the total number of the favored outcomes to the total number events. The value of the probability is always less than1.
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Landscaping boulders weigh 28 pounds each. Using b for the number of boulders and w for the weight, write an equation that relate the two variables.
Equation should begin with w =.
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 35 N acts on a certain object, the acceleration of the object is 7m/s . If the force is changed to 20 N, what will be the acceleration of the object?
Answer:
4 m/s
Step-by-step explanation:
This is just a simple ratio question
35N=7M/s
20=Xm/s
We see that 7 is 1/5 of 35
20 is 4/7 of 35
4/7 of 7 is 4
Nina is making 4 pans of fudge to serve
after a music recital. For each pan, she needs 2/3
cup of condensed milk.
Draw a diagram to show two different ways that Nina could
measure the condensed milk needed for 4 pans of fudge.
The total number of condensed milk required is 8/3=2 2/3.
The total number of pan is 4
The condensed milk required for each pan is 2/3
The pieces of a whole are how fractions are described in mathematics. One or more objects may make up the whole. When we cut a piece of pizza in real life from the entire pizza, the part represents the percent of the pizza.
The total number of condensed milk is 4. 2/3= 8/3
For first pan let the measuring cup is 1/4 then the condensed milk is measured as
1/4 . 2/3 =1/6
For second pan let the measuring cup is 1/2 , then the condensed milk is measured as
1/2 . 2/3 = 1/3
Hence the total number of condensed milk required is 2 2/3.
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When simplifying --7(3)(-10) + (-4), can you multiply 3 and -10 first and get the same result as multiplying - 7 and 3 first?
Explain.
Answer:
See explanation
Step-by-step explanation:
Yes
-7(3)(-10) + (-4) =
-7(-30) + (-4)= ==> multiply 3 and -10
210 - 4=206
-7(3)(-10) + (-4) =
-21(-10) + (-4)= ==> multiply -7 and 3
210 - 4=206
206=206 √
Milan has 4 shelves full of books. Each shelf has 9 books.
If 2 of her friends borrow 3 books each, what fractions of
books does she still have left on her shelves?
Step-by-step explanation:
She has 4 bookshelves and each one has 9 which makes
4x9 = 36
If she has two friends and they both take 3
2x3=6
how many books left?
36-6=30
which is
30/36 simplified is 5/6. Hope this helped you! :)
Select the correct answer.
The slope of line 2/3 is. Line mis perpendicular to line /.
What is the slope of line m?
At a local concert hall, the owner charges $7 per ticket. The owner must pay his band
$1200. Every customer receives a brochure that costs the owner $2 for each person.
The number of people that must attend for him to break even
is 240.
Given that the owner charges $7 per ticket, every customer receives a brochure that costs the owner $2 for each person and the owner must pay his band $1200.
We are required to find the people must attend for him to break-even.
Break even point is the point at which there is not any profits or losses.
We have to first form the equation for the break even.
Suppose the number of people be x.
Cost to the owner will be 1200+2x.
Revenue will be 7x.
Break even point will be at the point where 7x=1200+2x
7x-2x=1200
5x=1200
x=240
Hence the number of people that must attend for him to break even
is 240.
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Question is incomplete. It should include the following line:
Calculate the break even level for the owner of local concert hall.
Use algebra to write a quadratic equation that passes through points (1/2, 9/16) (1,9/2) (-1, 11/2)
Please help tyy!
The quadratic equation that passes through points (1/2, 9/16) (1,9/2) (-1, 11/2) are 1/2 = 81 a/256 - 9b/16 + c ,9/2= a + b + c and 11/2 = -a - b + c .
What is quadratic equation?Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.
Given:
The given points are
(1/2, 9/16) (1,9/2) (-1, 11/2)
According to given question we have
We know the basic quadratic equation are
[tex]y = ax^{2} + bx + c[/tex]
We have 3 points we can plug in for (x, y) to create 3 simultaneous equations
The equation are at the points
1. (1/2, 9/16)
1/2 = 81 a/256 - 9b/16 + c
The equation are at the points
2. (1,9/2)
9/2= a + b + c
The equation are at the points
3. (-1, 11/2)
11/2 = -a - b + c
Therefore, the quadratic equation that passes through points (1/2, 9/16) (1,9/2) (-1, 11/2) are 1/2 = 81 a/256 - 9b/16 + c ,9/2= a + b + c and 11/2 = -a - b + c .
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On Olga's 16th birthday, her uncle invested $2,000 in an account that was locked into a 1.75% interest rate, compounded monthly. How much will Olga have in the account when she turns 18? Round to the nearest cent.
Answer is NOT $2,071.19
I can't figure it out, the only answer I get when putting the numbers into the formula is $2,071. I feel like the trick is the "locked" part. Although that seems normal. 16-17 is 1 year, and 17-18, is another, so 2 years. I'm not sure why the answer is wrong.
Suppose that you are taking a course that has 4 tests. The first three tests are for 100 points each and the fourth test is for 200 points. To get an B in the course, you must have an average of at least 80 percent on the 4 tests. Your scores on the first 3 tests were
79
,
77
, and
91
. What is the minimum score you need on the fourth test to get an B for the course?.
The minimum score needed on the fourth test to get a B grade for the course is; 153 points.
What is the minimum score required for a B ?It follows from the task content that the first 3 tests attract 100 points each while the fourth test attracts 200 points. On this note, it follows that the total number of points attainable is; 500 points.
To get 80%, one must get; (80/100) × 500 = 400 points.
Hence, the minimum score needed on the fourth test to get a B is; 400 - 79 - 77 - 91 = 153 points.
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Graph the line y-5x=-3
Answer:(0,-3)
Step-by-step explanation:
It's quite simple once you understand. First plug in values
if x=0 then y= -3, if x =1 then y=2. Plug in values based on the equation.
Since my first substitution is 0,-3, that is the one I will plot on a graph.
Hope it helps!!
Answer:
y = 5x - 3
Points: (0, -3) and (1, 2)
Step-by-step explanation:
y - 5x = -3
+5x +5x
y = 5x - 3
The starting point is at (0, -3)
Count up five then right 1
rise
-------
run
I hope this helps!
.--. .-.. . .- ... . / .... . .-.. .--. / -- . / --- ..- -
heres some morse code
Answer:Ok i will help you out
-11/4n - 1/8
Step-by-step explanation:
Cause yes and most likely is it
Source: Trust me + I did the math(dunno correct) just try tho
aryl borrowed $5,876 for 6 years. If the loan's annual simple discount rate was 7.4%, how much did he have to return?
Aryl has to return $8484.944 after 6 years
WHAT IS SIMPLE INTEREST ?Simple interest is interest that is only based on the borrowed or deposited principal. The principal payment is multiplied by the interest rate, and the time factor is then included. Due to the fact that simple interest does not compound over time, investments grow more slowly.
CALCULATIONP = $5876
R = 7.4 %
T = 6 years
S I = P x R x T / 100
= 5876 x 7.4 x 6 / 100
= $2608.944
amount to be paid = 5876 + 2608.944
= $8484.944
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Following is partial information for Delamunte Industries for the month of August:
Work In Process
Balance, August 1 $ 41,000
Direct materials used 75,000
Direct labor 120,000
Manufacturing overhead applied (based on direct labor cost) 90,000
Jobs finished during August are summarized here:
Job # Cost of Jobs Completed
234 $ 58,000
237 65,000
231 74,500
246 67,500
Required:
At the end of August, only one job, Job 248, was still in process. The direct labor cost incurred on Job 248 as of August 31 was $24,000.
Calculate the predetermined overhead rate that was used to apply manufacturing overhead to jobs during August.
Determine the balance in Work in Process at the end of August.
Determine how much of the direct materials cost and applied overhead would be recorded for Job 248 as of August 31.
The predetermined overhead rate is $0.75, the balance in work for august is $61000. the direct material cost is $19000 and the applied overload is $18000
How to solve for the solutionsA. The predetermined overhead calculation
The formula = manufacturing overhead / direct labor
= 90000 / 120000
= 0.75
b. The balance in work sheet
Direct materials used 75,000 + Direct labor 120,000 + Balance, August 1 $ 41,000 + Manufacturing overhead applied (based on direct labor cost) 90,000
= $326,000
58,000 + 65,000 + 74,500 + 67,500 = 265000
The balance at the end of August = 326000 - 265000
= 61000 dollars
c. Applied overload = 0.75 x 24000
= 180000
direct material cost = 61000 - 24000 - 18000
= $19000
The summary of the solution is that the predetermined overhead rate is $0.75, the balance in work for august is $61000. the direct material cost is $19000 and the applied overload is $18000
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Use the graphs of f and g to evaluate the composite function.
f(g(-6))
Answer: 4
Step-by-step explanation:
f(x)=|x-5|
g(x)=-x-5
f(g(-6))=
f(-(-6)-5)=
f(6-5)=
f(1)=
|1-5|=
|-4|=4
TRANSLATE INTO ALGEBRAIC EXPRESSION.
3 less than 4 times the square of a number
Number= -2
11
Select the correct answer.
The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number?
OA The equation that represents this situation is x-3=21. The second number is 24.
OB. The equation that represents this situation is 3x = 21. The second number is 7.
OC. The equation that represents this situation is -3x = 21. The second number is -7.
OD. The equation that represents this situation is -3 + x = 21. The second number is 18.
Reset
Next
Answer:
C
Step-by-step explanation:
Directions: “Write out an equation that will go with the following problem and then solve it.”
“A restaurant is full. There are some four-person tables and 8 tables with couples. If there are 56 people here, how many four-person tables are there?”
Answer:
Incomplete question
Forgot to add how many tables
Step-by-step explanation:
Let's solve the equation step by step,
Step: Let's make an equation to find how many four person table are there
Let x represent for four person table and y for 8 person table,
4x + 8y = 56,
x+y=z
Rewrite (128 + 32) using factoring. 2(124 +17) 4(32 + 8) 8(17 +4) 12(14+3)
The expression (128 + 32) when rewritten using factoring is 4(32 + 8)
How to rewrite the expression using factoring?The expression in the question s given as
(128 + 32)
Express the numbers 128 and 32 as the product of their factors
i.e. we factor out 4 from the expression
So, we have
(128 + 32) = (4 * 32 + 4 * 8)
Next, we factor out the common factor (i.e. 4) from the expression
So, we have
(128 + 32) = 4 * (32 + 8)
Rewrite the above expression as follows
(128 + 32) = 4(32 + 8)
Hence, the expression (128 + 32) when rewritten using factoring is 4(32 + 8)
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Seven subtracted from seven times a number is 147. What is the number?
Answer:
I answered your duplicate question. Make sure to check out the answer, and I hope it helps!
Simplify the follow expression show each step of ur work
-5 + -7 + 12
Answer:
0
Step-by-step explanation:
We just add left to right:
- 5 and -7 is -12
-12 plus 12 is 0.
If four times a number is added to-7, the result is 3 more than twice the number what’s the number
Answer:
the number is 5
Step-by-step explanation:
let the number be x
4*(x)+-7=3+2x
4x-7=3+2x
2x=10
x=5
FIRST ANSWER GETS BRAINLIEST
I really need help with this question
Answer:
a. write an expression Melanie can use to determine her bank account balance after paying these bills and receiving money from her sister
6
Janelle wants to buy meat and vegetables for a
barbecue. At her grocery store, the cost per pound
of meat is x dollars, and the cost per pound of
vegetables is y dollars. The equation 6x + 3y = 42
shows how x and y are related when Janelle spends
a total of $42 on meat and vegetables. Based on the
equation, which of the following statements must be
true?
A) The cost per pound of meat is $6.
B) Janelle can buy a maximum of 7 pounds
of meat.
C) Janelle can buy a maximum of 14 pounds of
vegetables.
D) Janelle buys twice as many pounds of meat as
pounds of vegetables.
w 000 best mas la
afdi te ban o
ww. ayah year we
floods to abrov
ection
The correct response is D. Janelle buys twice as many pounds of meat as pounds of vegetables.
The number 6 in the equation indicates the number of pounds of meat that Janelle purchases, and the number 3 represents the number of pounds of veggies that she purchases.
This is because in the above equation, x is the cost per pound of meat and y is the cost per pound of vegetables. So it stands to reason that Janelle purchases twice as much meat as veggies.
Choice A is erroneous because x, which is used to indicate the price per pound of beef, might not be equal to 6. Choices B and C are erroneous because it is impossible to predict how many pounds of meat and produce Janelle could purchase without knowing the values of x and y.
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The parents of the Newton Junior High School Choir want to make a robe for each of the 24 choir members. If each robe requires 2 5/8 yards of cloth, what is the total number of yards of cloth needed to make all the robes?
Answer:
63
Step-by-step explanation:
Your company will generate $71,000 in annual revenue each year for the next seven years from a new information database. If the appropriate interest rate is 8.75 percent, what is the present value?
The present value of the annual revenue of $71,000 for seven years at 8.75% is $360,357.02
What is the present value?The present value represents the discounted value of future cash flows over a period.
The present value can be computed using the PV table, formula, or an online finance calculator, as follows:
Data and Calculations:N (# of periods) = 7 years
I/Y (Interest per year) = 8.75%
PMT (Periodic Payment) = $71,000
FV (Future Value) = $633,642.98 ($497,000 + $136,642.98)
Results:
Present Value (PV) = $360,357.02
Sum of all periodic payments = $497,000 ($71,000 x 7)
Total Interest $136,642.98
Thus, the present value of the annual revenue of $71,000 for seven years at 8.75% is $360,357.02
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ompletion Status: Moving to another question will save this response. uestion 2 Consider two events: E and F. We know that P(E)=P(F) = 0.7. Are the two events E and F disjoin a. No, because P(E) and P(F) add up to more than 1 b. No, because P(E and F) is unknown OC. No, because P(E) and P(F) are equal d. Yes Ly A Moving to another question will save this response. E C E
The correct option a. No, because the probabilities P(E) and P(F) add up to more than 1.
What is termed as the disjoint sets?Disjoint sets are the ones in which their intersection results in such a null set. In set theory, we sometimes notice that two sets have no common elements, or that the intersection of a sets is an empty set or null set. This is referred to as a disjoint set. For instance, if we have X = a, b, c and Y = d, e, f, we can say that given 2 sets are disjoint because they have no common elements.For the given condition;
P(E) = P(F) = 0.7
the sum of both will be.
P(E) + P(F) = 1.4
But, we know that probability can never be more than 1.
Thus, there must be some elements which are common in both sets, which makes the set disjoint.
Thus, events E and F are not disjoint events.
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