Answer: New formula is A/w=l
Length equals 75ft.
Step-by-step explanation:
A=l x w Area of a rectangle formula.
A/w=l Solve for length
300=l x 4
300=l x 4
4 4
300/4=l
75=l
The new formula is A/w=l and Length= 75ft.
A=l x w (Area of a rectangle formula)
A/w=l (Solve for length)
300=l x 4
300=l x 4
300/4=l
75=l
What's the vicinity system?
Given a rectangle with duration l and width w, the system for the location is A = lw (rectangle). that is, the place of the rectangle is the duration accelerated by the width. As a unique case, as l = w inside the case of a rectangular, the location of a rectangular with facet duration s is given with the aid of the formulation: A = s2 (rectangular)
The perimeter P of a rectangle is given through the formulation, P=2l+2w, wherein l is the period and w is the width of the rectangle. The location A of a rectangle is given with the aid of the system, A=lw, where l is the length and w is the width.
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Jane is asked to buy some chickens, dogs and ducks for her farm. The total number of animals she needs to buy is 50. She has a budget of $1500 to spend on $20/chicken, $50/dog, and $30/duck. Additionally, the number of chickens should be equal to that of ducks. Create a system of 3 equations to model the situation. Assume the number of chickens is x, dogs is y and ducks is z.
Answer:
[tex]x + y + z = 50[/tex]
[tex]20x +50 y +30 z = 1500[/tex]
[tex]x = z[/tex]
Step-by-step explanation:
Given
[tex]Chicken = c[/tex]
[tex]Dog = y[/tex]
[tex]Duck = z[/tex]
Since, she wants to buy 50 in total; This can be modeled by:
[tex]x + y + z = 50[/tex]
Considering the budget, we have:
[tex]20x +50 y +30 z = 1500[/tex]
Lastly, we have that
[tex]x = z[/tex]
i.e. Chicken = ducks
There are 20 chickens, 10 dogs and 20 ducks.
Let x represent the number of chickens, y represent the number of dogs and z represent the number of ducks.
The total number of animals she needs to buy is 50. Hence:
x + y + z = 50 (1)
She has a budget of $1500 to spend, hence:
20x + 50y + 30z = 1500 (2)
The number of chickens should be equal to that of ducks. Hence:
x = z
x - z = 0 (3)
Hence, x = 20, y = 10 and z = 20
There are 20 chickens, 10 dogs and 20 ducks.
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Write the equation of the line that passes
through the points (3, 1) and (-2, 6).
Answer:
x + y - 4 = 0
Hope this helps, if you need more of an explanation feel free to let me know!
a person can read 24 pages of a book in 1/3 of an hour what is the persons reading rate in pages per hour
Answer:
72.73 pages in one hour
or 72.73/hr
Do i have to write something for E or do I leave it blank
Answer:
blank
Step-by-step explanation:
Answer:
Blank
Step-by-step explanation:
Between which two integers is the square root of 18
find two consecutive ODD numbers whose sum is 144.
Answer:
Smaller=x Larger=x+2
x+x+2=144
2x+2=144
2x+2-2=144-2
2x=142
2x/2=142/2
x=71
Smaller=71
Larger=73
Check: 71+73=144
Step-by-step explanation:
please mark me as the brainliest answer and please follow me for more answers to your questions.
Answer:
71 and 73
Step-by-step explanation:
First, set up an equation: let x be the smaller number, and let x+2 be the bigger one.
Then, since these two number's sum is 144, we can set up the equation x+(x+2) = 144.
Solve for x: 2x+2=144 -> 2x = 142 -> x = 71
As the smaller number is defined as x, we solved for the smaller number: 71. The bigger number is defined as x+2, so the bigger number is just going to be 2 more than the smaller number, which is 73.
Therefore, we arrive at our answers 71 and 73.
Percentages
Your favorite store is having a sale. You run across a shirt that originally sold for $47, but
is on a -40% Off" rack. A pair of jeans that originally
sold for $60 is advertised for "30%
Off". Your eye is attracted to a pair of designer shoes on sale for $35. You decide to
purchase the shirt, jeans, and shoes.
1) What is the sale price of the shirt?
What is the sale price of
the jeans?
2) What is the subtotal of the shirt, jeans, and the shoes?
3) You discover a coupon for 25% off the purchase price and give it to the cashier. With
the 25% off coupon what is the pre-tax cost of your purchase?
4) If the sales tax on your purchase is 5%, what is the total amount you are charged?
5) Your credit card has a monthly interest rate of 2% and a minimum payment of $10. You
make the minimum payment every month. Fill in the chart below until you pay off your
purchase.
Payment
Balance
$10.00
New Balance
Interest
Remaining
Balance
Month
1
2
3
4
5
6
7
8
9
10
Answer:
1) Shirt = $28.20 Jeans = $42
2) subtotal = $105.20
3) with the discount from the coupon, the pre-tax cost is $83.90
4) about $ 88.10 (actual answer was $88.095)
5) i have no clue bro, im sorry
Step-by-step explanation:
The sale price of the shirt is [tex]\$28.20[/tex] The sale price of the jeans [tex]\$42.00[/tex] Subtotal is [tex]\$[/tex]105.20 Pre-tax cost [tex]\$78.90[/tex] The total amount charged with 5% sales tax is [tex]\$42.00[/tex]
The sale price of the shirt:
Given -The original price of the shirt is $47, and it is on a "40% Off" sale. To find the sale price, we can calculate [tex]40\% of \$47[/tex]and subtract it from the original price:
The sale price of the shirt = [tex]\$47 - (40\% \times\$47)[/tex]
The sale price of the shirt =[tex]\$47 - (\$18.80)[/tex]
The sale price of the shirt =[tex]\$28.20[/tex]
The sale price of the jeans:
Given =The original price of the jeans is $60, and it is advertised as "30% Off." Similar to the shirt, we can calculate the sale price of the jeans:
The sale price of the jeans =[tex]\$60 - (30\% \times\$60)[/tex]
The sale price of the jeans =[tex]\$60 - (\$18.00)[/tex]
The sale price of the jeans = [tex]\$42.00[/tex]
Subtotal of the shirt, jeans, and shoes:
Subtotal = Sale price of the shirt + Sale price of the jeans + Sale price of the shoes
Subtotal = [tex]\$[/tex]28.20 + [tex]\$[/tex]42.00 +[tex]\$[/tex]35.00
Subtotal =[tex]\$[/tex]105.20
The pre-tax cost of your purchase with the[tex]25\%[/tex] off coupon:
The 25% off coupon is applied to the subtotal. We calculate 25% of the subtotal and subtract it from the subtotal to find the pre-tax cost:
Pre-tax cost = Subtotal -[tex](25\% \times Subtotal)[/tex]
Pre-tax cost = [tex]\$105.20 - (25\% \times \$105.20)\\[/tex]
Pre-tax cost =[tex]\$105.20 - (\$26.30)[/tex]
Pre-tax cost = [tex]\$78.90[/tex]
The total amount charged with 5% sales tax:
To calculate the total amount charged, we need to add the sales tax to the pre-tax cost:
Sales tax = [tex]5\% \times Pre-tax cost[/tex]
The Total amount charged = Pre-tax cost + Sales tax
The Total amount charged =[tex]\$78.90 + (5\% \times \$78.90)[/tex]
The total amount charged = [tex]\$78.90 + \$3.94[/tex]
The total amount charged =[tex]\$82.84[/tex]
The credit card payments for months are;
Payment | Balance | New Balance | Interest | Remaining Balance
Month 1 | $10.00 | $72.84 | $1.46 | $71.46
Month 2 | $10.00 | $61.46 | $1.23 | $60.69
Month 3 | $10.00 | $50.69 | $1.01 | $49.70
Month 4 | $10.00 | $39.70 | $0.79 | $38.49
Month 5 | $10.00 | $28.49 | $0.57 | $27.06
Month 6 | $10.00 | $17.06 | $0.34 | $16.40
Month 7 | $10.00 | $6.40 | $0.13 | $6.53
Month 8 | $6.53 | $0.00 | $0.00 | $0.00
The remaining balance is paid off in full by the 8th month, and the interest is calculated based on the remaining balance each month.
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Write an equation in points-slope form of the line that passes through (7,-6) and has the slope m= 1/2
Answer: point-slope form is [tex](y -y_{1} ) = m(x - x_{1} )[/tex]
9.5 -(-6) = 1/2(0-7)
Step-by-step explanation: You can get a y-intercept by substituting the x and y values from the given coordinate into the slope-intercept form and solve for b.
y = mx + b
-6 = 1/2(7) + b
-6 = 3.5 + b
-9.5 = b Slope-intercept equation for this question would be y = x/2 - 9.5
Then use the coordinates of the y-intercept to create the point-slope equation
(-9.5 -[-6]) = 1/2(0-7)
Simplify this expression:
2x? - 5xy - 6+ 4x2 – 3xy +1-xły
O 6x? - 9xy - 5
O 5x2 – 8xy-5-y
O 6x2 - 8xy-5-xy
O 6x² + 2xy-by-xy
Answer:
3xy⋅(4x
2
+2x−3y)
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
Annabelle lives at Bermondsey in London. She has to speak at a conference in Birmingham at 10.30am.
It will take her an hour from her home to get to Euston Rail
Station, from where she will get a train to Birmingham.
The train journey from Euston
to Bimingham is an hour and 10 minutes.
Trains to Birmingham run at the following times: 5 minutes past the hour, 25 minutes past the hour and 45 minutes past the hour.
The meeting venue in Birmingham is a 5-minute walk from the station.
What is the latest time that Annabelle can leave home, if she is to make it on time for
the meeting in Birmingham ?
Show your work.
HELP ME PLEASE!!!
DUE TODAY. THANK YOU SO MUCH.
Answer:
The conference in Birmingham is at 10.30am.
She has to leave at 08.00 am from her home.
Step-by-step explanation:
Because
• Time to get Euston Rail Station is 1 hour so she will be at station at 09.00 am.
• Trains to Birmingham run at the following times: 5 minutes past the hour, 25 minutes past the hour and 45 minutes past the hour. Which means she will get the train at 9.05 am.
• The train journey from Euston to Birmingham is an hour and 10 minutes so she will reach Birmingham station at 10.15 am.
• She will reach the meeting venue in Birmingham at 10.20 am as there is a 5-minute walk from the Birmingham station to meeting venue.
She will reach to meeting time 10 minutes earlier which will allow here to get ready for the meeting.
Note:
If we want to overcome the 10 minutes and she live 8.10 am from here home then she will reach to station at 9.10 am. According to the train timing she will get train at 09.25 am which means at the end she will get late about 10 minutes to reach the venue for the meeting.
3. In a perspective drawing, the ratio of the distance from the vanishing point to the height
of a tree is 25/7.Write a proportion that could be used to calculate the height of a tree
that is drawn 60 centimeters from the vanishing point. Use your proportion to find the
height of that tree in the drawing.
Proportion:
Height:
4.In a perspective drawing, the ratio of the height of a stop sign to the distance from the vanishing point is 4/15.Explain how to find the distance from the vanishing point to place a stop sign that is drawn with a height of 6 inches.
Please help,I need to finish this missing assignment or I won’t get my phone back.
Answer:
if it helps try dividing those two numbers so like 25/7
Calculate the circumference of a rug having a diameter of 8ft
Answer:
C= 25.13ft
Step-by-step explanation:
To find the circumference use the formula C=2 * PI * R
we know that the diameter is 8 which means that the radius is half that amount therefore R=4
Now plug those numbers into the formula
C=2(pi)(4)
= 8(pi)
=25.13
What is the slope of the line that passes through the points
(4, -3) and (8, -2)?
Step-by-step explanation:
Hey there!
The points are;(4,-3) and (8,-2).
Use slope formula.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex]m = \frac{ - 2 + 3}{8 - 4} [/tex]
[tex]m = \frac{1}{4} [/tex]
Therefore, the slope is 1/2.
Hope it helps...
Help asap
bdndndnejejdjdjdjdjdjdjdjdjdjejdjs
Answer:
no
Step-by-step explanation:
two points cant be on the same line in a vertical pattern
What is the slope of this line that contains these points: (-4, -6) and (2,6)?
Answer:
The slope is 2
Step-by-step explanation:
y1-y2 . 6--6
--------- ------ =2
x1-x2 . 2--4
Which of all the following inequalities is true for all real values of x?
Answer:
C. 1/(x^2 +1) > 0
Step-by-step explanation:
The cube of a negative number is negative, eliminating choices B and D for certain negative values of x.
1/x^2 is undefined for x=0, so cannot be compared to zero.
The value 1/(x^2+1) is positive everywhere, so that is the expression you're looking for.
1/(x^2 +1) > 0
A teacher can spend as much as
$125.00 to take students to a movie.
A movie theater charges a
$10.00 group fee and
$5.50 per ticket.
Which of the following inequalities represents the problem and could be solved to find the maximum number of students,
x, who could attend the movie?
The maximum number of students, x, who could attend the movie are,
⇒ x ≈ 21
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
A teacher can spend as much as $125.00 to take students to a movie.
And, A movie theater charges a $10.00 group fee and $5.50 per ticket.
Let maximum number of students, x, who could attend the movie = x
Hence, We can formulate;
5.50x + 10 ≤ 125
Solve for x;
5.50x ≤ 125 - 10
5.50x ≤ 115
x ≤ 115 / 5.50
x ≤ 20.90
x ≈ 21
Thus, The maximum number of students, x, who could attend the movie are,
⇒ x ≈ 21
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-Which is Larger 34^7 or 10^11?
Explain you thinking.
Answer:
[tex]10^{11}[/tex] is larger
Step-by-step explanation:
[tex]34^{7} = 52,523,350,144[/tex] [tex]10^{11} = 100,000,000,000[/tex] Because 100,000,000,000 is bigger than 52,523,350,144; [tex]10^{11}[/tex] is the correct answer.I hope this helps!
Consider this right triangle.
A
15
17
B
8
Which of the following ratios represents cos(B)?
х
0
1
у
—125
-121
-93
-17
131
2
3
4
Answer:
12
Step-by-step explanation:
Evaluate f(x) = 1/4x for x = -5.
A. 20
B. -1/20
C. -1 1/4
D. -4/5
Answer: C
Step-by-step explanation:
1/4th of -5 is -1.25 so in fractions that is -1 1/4 (ANSWER IS C)
the answer is C
Two part-time instructors are hired by the Department of Statistics and each is assigned at random to teach a single course in probability, inference, or statistical computing. Assume that more than one section of each course is offered. List the outcomes in the sample space [Hint: each element consists of a pair of assignments]. Find the probability that they will teach different courses. Note: carefully define your notation (e.g. any events) in words before solving the problem.
Answer:
The probability that they will teach different courses is [tex]\frac{2}{3}[/tex].
Step-by-step explanation:
Sample space is a set of all possible outcomes of an experiment.
In this case we will write the sample space in the form (x, y).
Here x represents the course taught by the first part-time instructor and y represents the course taught by the second part-time instructor.
Denote every course by their first letter.
The sample space is as follows:
S = {(P, P), (P, I), (P, S), (I, P), (I, I), (I, S), (S, P), (S, I) and (S, S)}
The outcomes where the the instructors will teach different courses are:
s = {(P, I), (P, S), (I, P),(I, S), (S, P) and (S, I)}
The probability of an events E is the ratio of the number of favorable outcomes to the total number of outcomes.
[tex]P(E)=\frac{n(E)}{N}[/tex]
Compute the probability that they will teach different courses as follows:
[tex]P(\text{Different courses})=\frac{n(s)}{n(S)}=\frac{6}{9}=\frac{2}{3}[/tex]
Thus, the probability that they will teach different courses is [tex]\frac{2}{3}[/tex].
Add: (-15xz-4xy)+(20xy-9yz-16xz)
Answer:
=16xy−31xz−9yz
Step-by-step explanation:
The required simplified solution of the given expression is 16xy - 9yz -31xz.
Given that,
To determine the simplified solution of the given expression,
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= (-15xz-4xy)+(20xy-9yz-16xz)
Adding the coefficients of the alike terms.
= 16xy - 9yz -31xz.
Thus, the required simplified solution of the given expression is 16xy - 9yz -31xz.
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Given m∠12 + m∠15=180°
Which lines are parallel, if any must be parallel, based on the given information?
1. c || d by the converse of the alternate interior angles theorem
2. a || b by the converse of the corresponding angles theorem
3. c || d by the converse of the same-side interior angles theorem
4. Not enough information to make a conclusion.
Answer:
the answer is choice 3
c is parallel to d by the converse of the same side interior angles theorem
Step-by-step explanation:
Answer:
3. c || d by the converse of the same-side interior angles theorem
Step-by-step explanation:
Angles 12 and 15 are same-side interior angles of lines c and d cut by transversal a.
Answer:
3. c || d by the converse of the same-side interior angles theorem
1. Maya's ice cream machine makes 10 cups of ice cream from 0.5 cup of sugar. How many cups of ice cream can be made with 5 cups of sugar?
Answer:
100
Step-by-step explanation:
Since ten cups of ice cream is made from .5 cups of sugar, lets first find out how many cups of ice cream can be made form one cup of sugar
.5*2=1
10*2=20
Since the ratio of sugar to ice scream is .5/10 if you do anything to the top you need to do it to the bottom
so now you have 1/20
for every one cup of sugar there are 20 cups of icecream
now you need to multiply both top and bottom by five
1*5=5
20*5=100
5/100
You can make 100 cups of ice cream
*don't forget to label your answer with cups of ice cream*
100 cups of ice cream can be made with 5 cups of sugar.
What are comparing quantities?
Comparing quantities is the qualitative relation between two quantities which reflects the relative size of both the quantities.
It is given that,
10 cups of ice cream requires = 0.5 cup of sugar
⇒ 1 cup of sugar = 10/0.5 cups of ice cream
⇒ 1 cup of sugar = 20 cups of ice cream
Hence we see that Maya's ice cream machine makes 20 cups of ice cream from 1 cup of sugar.
Similarly, 5 cups of sugar = 5 x 20 cups of ice cream
⇒ 5 cups of sugar = 100 cups of ice cream
Therefore,100 cups of ice cream can be made with 5 cups of sugar.
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Describe your thinking and the steps taken when developing an
algebraic representation for the sum of the first t terms of a
linear sequence.
Let's see what to do buddy...
_________________________________
Step (1)
Suppose we want to find the sum of numbers from 1 to n.
To do this, we use the following method.
By writing the sum of numbers from 1 to n
, Then we write the sum of numbers n to 1 below it, see :
[tex]s = 1 + 2 + 3 + ... + n[/tex]
[tex]s = n + (n - 1) + (n - 2) + ... + 1 \\ [/tex]
Now we add the sentences of the above two phrases, peer to peer like this :
[tex]1 + n = n + 1 \\ [/tex]
[tex]2 + n - 1 = n + 1[/tex]
[tex]3 + n - 2 = n + 1[/tex]
And the others.....
So we have :
[tex]2s = ( n + 1) + (n + 1) + ... + (n + 1) \\ [/tex]
We had n numbers to sum so we have :
[tex]2s = n \times (n + 1)[/tex]
Divided the sides of the equation by 2
[tex]s = \frac{n \times (n + 1)}{2} \\ [/tex]
Remember this step I will use it again.
_________________________________
Step (2)
What does the linear sequence mean ?
The linear sequence is the sequence which any terms created by the sum of previous term with constant.
I name that constant value d.
According to above :
[tex]t(2) = t(1) + d[/tex]
And
[tex]t(3) = t(2) + d [/tex]
[tex]t(3) = t(1) + d + d[/tex]
[tex]t(3) = t(1) + 2d[/tex]
I have a question ;
[tex]3 - 1 = 2[/tex]
Is it correct ?
If it is correct we have :
[tex]t(3) = t(1) + (3 - 1)d[/tex]
WOW we found a thing ;
Put n instead of 3 :
[tex]t(n) = t(1) + (n - 1)d[/tex]
_________________________________
Step (3)
Stop right here.
Let's go to find the sum of the n first terms of the linear sequence.
Do you remember what did we do in step(1) ? Of course you do.
Let's do it again.
[tex]s = t(1) + t(2) + t(3) + ... + t(n) \\ [/tex]
[tex]s = t(n) + t(n - 1) + t(n - 2) + ... + t(2) + t(1) \\ [/tex]
According to the thing what we found in step(2) we have :
[tex]s = t(1) + ( \: t(1) + d \: ) + ( \: t(1) + 2d \: ) + ... + ( \: t(1) + (n - 1)d \: ) \\ [/tex]
[tex]s = ( \: t(1) + (n - 1)d \: ) + ( \: t(1) + (n - 2)d \: ) + ... + t(1) \\ [/tex]
Sum the two above equation's terms like this:
[tex]t(1) + t(1) + (n - 1)d = 2t(1) + (n - 1)d \\ [/tex]
And
[tex]t(1) + d +t(1) + (n - 2)d = 2t(1) + d(n - 2 + 1) = 2t(1) + (n - 1)d \\ [/tex]
And the others like this.
We had n terms so we sumed n terms.
So we have :
[tex]2s = n \times ( \: 2t(1) + (n - 1)d \: )[/tex]
Divided the sides of the equation by 2
[tex]s(n) = \frac{n}{2} \times ( \: 2t(1) + (n - 1)d \: ) \\ [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
please help :,(( it's due in 30 minutes
Answer:
brain went bye bye
Step-by-step explanation:
True or false and why?
====================================================
Explanation:
Utility is another way of saying happiness more or less. Marginal utility is getting that extra bit of satisfaction from buying/consuming one additional item. Saying the marginal utility is diminishing but not negative, means we have an increasing utility curve that has its rate of increase slow down. An example would be a log curve.
Inflation can be thought of as an expense. For example, if it costs $1 to get a loaf of bread one year, and then next year that cost jumps to $1.50 for that same loaf of bread, then the worker has effectively lost 50 cents on their paycheck. Zero inflation means there isn't any such expense. So in a way, this is like getting a raise.
Being paid more due to higher labor costs means that the worker gets even more money on top of the bonus money saved from zero inflation. These two aspects would provide a lot of incentive for the person to work more hours. Of course, there would be a point in which the marginal utility is far too small. In other words, the amount of additional money earned isn't worth the additional time spent working. This is likely when the worker would take time off, seek out a raise, or find some other job.
Find the values of x and y.
which answer is the right answer? will give brainliest to the best answer
Answer:
8
Step-by-step explanation:
The y is the same so you only have to calculate the difference between x.
The difference between -3 and 5 is 8.
