Answer: Marco can fill 15 of the 2 1/2 Cups
Step-by-step explanation:
37.5 divided by 2.5
or
37 1/2 divided by 2 1/2
Answer:
Marco can fill 15 of the 2 1/2 Cups
37 1/2 divided by 2 1/2
The end points of the diameter of a circle are at (-4,-5) and (6,-3). what are the coordinates of the center of the circle?
Answer:
(1,-4)
Step-by-step explanation:
Remember, the diameter of a circle crosses through the center from one side of the circle to the other. It is 2 times the radius. This means the center of the circle is the midpoint of the diameter. We find it using the midpoint formula:
[tex](\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})[/tex]
[tex](\frac{-4+6}{2} , \frac{-5+-3}{2})=(\frac{2}{2} , \frac{-8}{2})=(1,-4)[/tex]
Write write an exponential growth function for the following situation you are depositing $5,000 into a bank with an interest rate of 9% for x years
[tex]\bf \qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &5000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=\textit{elapsed time}\dotfill &x\\ \end{cases} \\\\\\ A=5000(1+0.09)^x\implies A=5000(1.09)^x[/tex]
Urgent! Please help!
Solve the equation:
(square root)x-6=6
A.
-42
B.
12
C.
30
D.
42
Answer: B
Step-by-step explanation:
If the following statements, which one or ones describe actions helpful to your credit score?
I. Quickly paying off debts
II. Having recent debts
III. Having long-standing lines of credit
a.
I only
b.
II and III
c.
I and III
d.
III only
Answer:
option c
Step-by-step explanation:
Below are the 3 major determining factors to determine a good credit score:-
1) Payment history - The payment history comprises of 35 percent of the total credit score and is the most important factor in calculating credit scores. An easiest way for borrowers to improve their credit score is by making quick timely payments.
2) Credit utilization - It is the percentage of available credit which has been borrowed. It makes up 30 percent of the total credit scores.
3) Long-standing lines of credit - the amount of time each account has been open.It makes up 15 percent of the total credit score. In order to improve the credit scores, people without a credit history must begin using credit, and those having credit must maintain long-standing accounts.
What are the actual dimensions of a television that has a 15:9 aspect ratio and a screen that is 42 inches?
Answer:
Let x be the number.
It is given that a 15 : 9 aspect ratio and a screen that is 42 inches.
Aspect ratio states that the ratio of the display image’s width to its height.
Then;
Width of the television of(w) = 15x
and
height of the television(h) = 9x.
Since, television is in the form of Rectangle.
and it is also, given that the screen is 42 inches .
⇒Diagonal of the television(D) = 42 inches
Using formula of diagonal of the rectangle :
[tex]D^2 =w^2+h^2[/tex]
Substitute the given values to solve for x;
[tex]42^2 = (15x)^2+(9x)^2[/tex]
[tex]1764 = 225x^2 + 81x^2 = 306x^2[/tex]
or
[tex]x^2 = \frac{1764}{306} = 5.76[/tex]
[tex]x = \sqrt{5.76} = 2.4[/tex]
Then:
width of the television (15x) = 15(2.4) = 36 inches and
Height of the television (9x) = 9(2.4) = 21.6 inches.
Therefore, the actual dimensions of the television are;
width = 36 inches and height = 21.6 inches.
Multiply the polynomial
(4d-3)(-2d+1)
Answer:
-8d^2+10d-3
Hope i helped if i am wrong tell me please :)
Step-by-step explanation:
combine like terms
There are 9 computers and 72 students. What is the unit rate of students to computers? pleaase help meee
Answer:
1:8
Step-by-step explanation:
We know that every 9 computers there are 72 students, so if we divide 72 by 9 it will be 8. Therefore for 1 computer it has 8 students.
Which of these tables represents a function
Table D if you graph them and do the line test ( where you take a vertical line and see if it touches two points on a graph) you will see that everything else EXCPET D will be touched by the vertical line.
WILL MARK BRAINLIEST FOR QUICKEST ANSWER graph the image of the figure after a dilation with a scale factor of 1/4 centered at (5 -5)
Answer:
Given: Scale factor, [tex]k = \frac{1}{4}[/tex] and centered at (5, -5).
Labelled the given figure as A, B and C.
The coordinates of the given triangle ABC are;
A = (-3, 7)
B = (-7, -5) and
C = (9, 3)
To find the image of the figure after a dilation with scale factor 1/4 centered at (5, -5).
The rule of dilation with scale factor 1/4 and centered at (5, -5) is given by;
[tex](x, y) \rightarrow (\frac{1}{4} (x -5) +5 , \frac{1}{4}(y+5) -5)[/tex]
or
[tex](x, y) \rightarrow (\frac{1}{4}x + \frac{15}{4}, \frac{1}{4}y -\frac{15}{4})[/tex]
The coordinates of the image of the figure after dilation are;
[tex]A(-3, 7) \rightarrow (\frac{1}{4}(-3) + \frac{15}{4}, \frac{1}{4}(7)-\frac{15}{4})=(\frac{-3}{4}+ \frac{15}{4}, \frac{7}{4}- \frac{15}{4}) = (\frac{-3+15}{4}, \frac{7-15}{4}) = (\frac{12}{4}, \frac{-8}{4}) = A'(3, -2)[/tex]
[tex]B(-7, -5) \rightarrow (\frac{1}{4}(-7) + \frac{15}{4}, \frac{1}{4}(-5)-\frac{15}{4})=(-\frac{7}{4}+ \frac{15}{4}, -\frac{5}{4}- \frac{15}{4}) = (\frac{-7+15}{4}, \frac{-5-15}{4}) = (\frac{8}{4}, \frac{-20}{4}) = B'(2, -5)[/tex]
[tex]C(9, 3) \rightarrow (\frac{1}{4}(9) + \frac{15}{4}, \frac{1}{4}(3)-\frac{15}{4})=(\frac{9}{4}+ \frac{15}{4}, \frac{3}{4}- \frac{15}{4}) = (\frac{9+15}{4}, \frac{3-15}{4}) = (\frac{24}{4}, \frac{-12}{4}) = C'(6, -3)[/tex]
As,You can see the graph as shown below in the attachment.
Find the slope of the line containing the pair of points (9,2) and (-7,-9)
Answer:
-11/-16
Step-by-step explanation:
M= Y2 - Y1/ X2 - X1 = -9-(2)/ -7-(9) = -11/ -16
The slope of the line is 11/16.
How to find the slope of a straight line fro given coordinate points -The slope of any given formula can be found as
Slope = (y2 - y1)/(x2 - x1)
Where, y2 and y1 are the y-coordinates of the given two points
and, x2 and x1 are the x-coordinates of the given two points.
By the problem, y2 = -9 , y1 = 2 , x2 = -7 and x1 = 9
Using the above identity,
Slope = (-9 - 2) / (-7 - 9)
∴ Slope = -11 / -16 = 11/16 = 0.6875
Thus the slope of the line containing given points is 11/16
To learn more about slope of straight line, refer -
https://brainly.com/question/3493733
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Write a few sentences explaining how to determine whether a relation shown in a table or a graph is a function.
Answer:
y=f(x)
y=5x
y=3x
are examples of function
Step-by-step explanation:
definition of a function
if there is one to one relation between a relation
then it is defined as a function
for example
y=5x is a function
because when we put some value of x it gives back only one value of y as output.
y=±5x is not a function because one value of x gives two values(positive and negative) values of y hence not a function.
y=4x-17 into standard form
Y-4X=-17 or -4x + y =-17
to convert it into standard from you first need to get X on the left, you can do that by subtracting x from both sides,
Answer:
-4x + y = -17
Step-by-step explanation:
The standard form of a linear equation is
ax + by = c
Your equation is
y = 4x – 17 Subtract 4x from each side
-4x + y = -17
Perry won 122 lollipops playing horseshoes at the county fair. At school he gave four to every student in his math class. He only has 6 remaining. How many students are in his class
Answer:
29 students
Step-by-step explanation:
First you subtract 6 from 122 so you aren’t counting the remaining 6. You get 116
Then you divide 116 by 4 to find how many students are in his class which is 29
which of the following is the equation of a line that passes through the point (1,2) and is parallel to the x-axis?
A. x=2
B. y=2
C. y=1
D. x=1
Answer:
The equation of line would be y = 2
Step-by-step explanation:
Since the x-axis is horizontal, we would look for another horizontal line to be parallel. All horizontal lines can be written as y = (a number). We can find that number as the y-coordinate in the ordered pair (2)
y = 2
The Law of Large Numbers states that as the number of trials of an experiment increases, the experimental probability of an event occurring approaches the theoretical probability of the event occurring. Jake received a "magic" coin from his uncle. He flipped it 100 times, and found that it came up heads 64% of the time. He flipped it another 500 times, and it came up heads 57% of the time. He then flipped it 1000 times, and it came up heads 58% of the time. Then, he flipped it 1500 times, and it came up heads 62% of the time. Based on the Law of Large Numbers, what do you think the theoretical probability of the magic coin coming up heads is? Explain how you could test your hypothesis.
The law of large number states that , if number of trials increases in an experiment , in a fair trial where each outcome has same chance of occurring or having equal probabilities,when total number of trials goes higher and higher the probabilities of each single outcome becomes approximately equal.→→In case of Experimental Probability
The Coin Possessed by Jake is a Magic coin.
Now Outcomes received by jake when he tosses the coin certain number of times.He flipped it 100 times, and found that it came up heads 64% of the time. He flipped it another 500 times, and it came up heads 57% of the time. He then flipped it 1000 times, and it came up heads 58% of the time. Then, he flipped it 1500 times, and it came up heads 62% of the time.
Based on the information provided , it appears that coin is not fair . It is Unbiased.So , if we apply law of large numbers here after number of trials will go higher and higher , the chances of coming head will be more than tail i.e theoretical probability of the magic coin coming up heads is> 50%.
To test my hypothesis i have used the information provided by Jake, which shows that coin is not fair. The probability of head has more than tail i.e by 14%, 7%,8% and 12%.
Michelle Smith bought 30 shares of James Company stock at $34 per share. The company paid annual dividends of $0.42 per share. What is the total annual dividend? Show work
A) 9.78
B) 12.60
C) 1.69
D) 11.97
Answer:
The right option is B) 12.60
Step-by-step explanation:
We have given,
Number of shares = 30
Cost of each share = $34
Total cost of shares = 30 × 34 = $1020
Since the company paid annual dividends of $0.42 per share.
i.e Total annual dividend company paid = 0.42 × 30
Total annual dividend company paid = $ 12.60
Hence the right option is B) 12.60
Answer this please, thanks
Answer:
B
Step-by-step explanation:
under a dilatation about the origin of scale factor 3
since dilatation is about the origin multiply the coordinates of A, B and C by 3
A(8, 15) → A' (24, 45)
B(12, 13) → B'(36, 39)
C(8, 10) → C'(24, 30)
using the distance formula
with (x₁, y₁ ) = C'(24, 30) and (x₂, y₂ ) = B'(36, 39)
BC = [tex]\sqrt{(36-24)^2+(39-30)^2}[/tex]
= [tex]\sqrt{144+81}[/tex] = [tex]\sqrt{225}[/tex] = 15 → B
The graph of the equation y = x2 - 3 is shown. Which equation will shift the graph up 6 units?
Answer:
Here’s the graph
Step-by-step explanation:
The elevations of five points below sea level are given here. Which elevation is closest to sea level? A. -50 feet B. -68 feet C. -77 feet D. -86 feet E. -97 feet
Answer:
A. -50 feet
Step-by-step explanation:
To find the number closest to sea level, take the absolute value of each number and see which is closest to zero.
A. -50 feet abs (-50) = 50
B. -68 feet abs (-68) = 68
C. -77 feet abs (-77) = 77
D. -86 feet abs ( -86) = 86
E. -97 feet abs (-97) = 97
The smallest number is 50. -50 ft is closest to sea level
Answer:
Step-by-step explanation:
A. 50
Two coins are tossed at the same time. What is the probability that they will both land tails up ?
- 75%
- 60%
- 25%
- 50%
Answer:
Step-by-step explanation:
If there are 4 coins and two faces on those coins then that means there are 4 faces flipping them both at the same time means it will have a 25% chance of them landing on the same side
Answer:
25%
Step-by-step explanation:
Okay so let's just say that you are tossing one coin and you want to know the chance of it landing as tails well its a 50 out of 100 chance of it being tails that is because there are two sides. But you have two so all together there are 4 sides. So let's say that each coin is 50 so now we need to find a even number for all sides, So let's just do 50 -25 = 25 so that lets us know that we can make each side 25%... So now you have a 25% chance of landing both coins as a tail.
I'm so sorry if this does not make seance I have a very hard time explaining things...
which equation is represented by the table? a) y=|x-4| b) y=|x|-4 c) y=|x|+4 d) y=|x+4|
Answer:
option (a) y=|x-4| is correct.
Step-by-step explanation:
Solve the question by elimination method i.e. put values of x in the given equations and check if equality holds.
(b) if x=2, then y= |2| - 4 = -2 , which is wrong
(c) if x=2, then y = |2| + 4 = 6, which is wrong
(d) if x= 2, then y = |2 + 4| = 6, which is wrong
The equality holds for (a).
How do I graph this?
Gregg has a coin collection album with 275 pages. Each coin is displayed on 1/6 of a page. How many coins will fit in the page?
Answer:
1650
Step-by-step explanation:
If there are 275 pages and each page can fits 6 coins then you multiply 6 by 275.
Answer:
6 on each page; 1,650 in total coins for all the pages
Step-by-step explanation:
1. The first step is to multiply 1/6*6 to find out how many coins can fit on one page.
2.The second step is to multiply 6 *275. That equals 1,650
If a customer wants pie for dessert, you cut whole pies into 7 equal slices. At the end of your shift, 3/7 of a cherry pie, 2/7 of an apple pie, 3/7 of a peach pie, and 5/7 of a blueberry pie remain. How much pie remains, as a fraction of a whole pie
Answer:
13/7
Step-by-step explanation:
Simply add the slices!
3+2+3+5=13 Slices
Now, we know that a full pie is 7 slices, and the answer they want is a fraction of a whole pie. Simply put the slices we have over how many are in a whole pie.
Answer: 13/7
This means we have almost 2 pies worth of random leftover slices :)
in May the price of a gallon of gasoline was $4.00 in June the price went up to$4.20 What is the percent of increase in the cost of gasoline
Answer:
5%
Step-by-step explanation:
(4.2- 4.0)/4.0 * 100 = 5%
Answer:
The percent of increase in the cost of gasoline, from May to June, is 5%.
Step-by-step explanation:
We were given the following:
In May the price of gasoline was $4.00 and in June the price went up to $4.20.
We can determine the percent increase as follows:
percentage increase in gasoline(%) = ((final price-original price)/final price)*100
let y be the final percentage increase of gasoline.
[tex]y=((4.2-4)/4.2)*100=5[/tex]
So the increase of gasoline as 5%
We can check this by multiplying the original prices by 5% and adding the original price.
[tex]4*0.05+4=4.2[/tex]
3.25+0.5x+1 (1)/(3) + (5)/(6) x=5 (11)/(12)
solve for x
Answer,
X = 3/4
Explanation,
Step 1: Simplify both sides of the equation.
3.25 + 0.5x + (1)(1)/3 + 5/6x = (5)(11)/12
3.25 + 0.5x + 1/3 + 5/6x = 55/12
(0.5x + 5/6x) + (3.25 + 1/3) = 55/12 (Combine Like Terms)
4/3x + 3.583333 = 55/12
4/3x + 3.583333 = 55/12
Step 2: Subtract 3.583333 from both sides.
4/3x + 3.583333 − 3.583333 = 55/12 − 3.583333
4/3x = 1
Step 3: Multiply both sides by 3/4.
(3/4) * (4/3x) = (3/4) * (1)
x = 3/4
2.25 ÷ 2.5 (Long division Work)
Answer:
Its 0.9
Step-by-step explanation:
this is a good enpugh answer
Mrs. Bea’s Bakery offers a Saturday morning special where your entire meal is 15% off. How much will a $32.00 meal cost after the special?
Answer:
27.2
Step-by-step explanation:
32*.85=27.2
Answer:
$27.20
Step-by-step explanation:
15 percent of 32 is 4.8
32-4.8= 27.20 so $27.20
There are 12 boys and 15 girls in your class.Four new students, 3 boys and 1 girl , join your class. Compare the ratio of boys and girls before and after the new students enrolled.
Answer:
4:5 ,15:16
Step-by-step explanation:
divide 12 and 15 by 3 to get 4 and 5
On an airplane, there are two window seats, 2 aisle seats, and 1 middle seats per row (each row sits 3 people on one side of the aisle and 2 people on the opposite side). 2 friends have requested to be seated in the same row. What is the probability that both friends will be assigned to aisle seats?
Can anyone tell me, how many total seat is it talking about in this problem?
The total number of seats in a row = 5
Lets suppose you are standing in front of the row, so you have 3 seats on one side of you then the passage of the plane and 2 seats on the other side. Out of 3 seats, 1 is window, 1 is middle and 1 is aisle. Similarly, out of the 2 seats on the other side, 1 is the window and 1 is aisle seat, Hence, a total of 5 seats.
As 2 friends have requested to be seated in the same row. So probability of them getting aisle seats becomes 2/5 for 1st friend (as there are 2 aisle seats out of 5 seats) and 1/4 (1 seat is already allocated to the friend so only 1 aisle seat is left out of 4 seats) for the second one.
So, joint probability becomes = [tex]\frac{2}{5}*\frac{1}{4}= \frac{1}{10}[/tex]
or probability becomes 0.1