Which of the following are like terms?
15y4,16y3
8y6, 6y8
16y2, 12y
13y25, 2y25
Answer: D) 13y^25 and 2y^25
Like terms involve the same variables, and each of those variables must have the same exponents.
Another example of a pair of like terms would be 5x^3y^2 and 7x^3y^2. Both involve the variable portion "x^3y^2" which we can replace with another variable, say the variable z. That means 5x^3y^2 becomes 5z and 7x^3y^2 becomes 7z. After getting to 5z and 7z, it becomes more clear we have like terms.
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer,
Answer:
[tex]2[/tex]
Step-by-step explanation:
For this I would find two friendly points like (60,10) and (70,30). Now we will plug in for the slope-intercept formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
So...
[tex]y_2=30\\y_1=10\\x_2=70\\x_1=60[/tex]
Now we plug in and solve...
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{30-10}{70-60}\\m=\frac{20}{10}\\m=\frac{2}{1}=2[/tex]
So the slope will be 2.
(a)
3) A garden hose emits 3 quarts of water in 4 seconds. At this rate:
A. How long will it take the hose to emit 12 quarts?
Answer:
16 seconds
Step-by-step explanation:
you would divide 12 by three and then multiply the answer by four to get 16 seconds
700 in standard form
Answer:
7 × 10²
Step-by-step explanation:
→ The first digit has to be above 1 and below 10
If Abigail took 15 hours to read a 480 page book. At this rate, how long will it take for her to read a 320 page book? pls give me the equation
Answer:
10 hours
Step-by-step explanation:
Equation: 15/480=x/320
-15x=320*480
x=10
=10 hours
Graph each equation using the slope and the y-intercept. y = –4x – 2.5
A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange.Let B = the event of getting a blue jelly beanLet G = the event of getting a green jelly bean.Let O = the event of getting an orange jelly bean.Let P = the event of getting a purple jelly bean.Let R = the event of getting a red jelly bean.Let Y = the event of getting a yellow jelly bean.What is the probability of drawing a red jelly bean in the first draw WITHOUT replacing the red jelly bean, then choosing a blue jelly bean in the second draw?Use 4 decimal places for this problem. Do not round your answers for intermediate steps, only for the final answer.
Answer:
[tex]P(R\ and\ B) = 0.0256[/tex]
Step-by-step explanation:
Given
[tex]Red = 22[/tex]
[tex]Yellow = 38[/tex]
[tex]Green = 20[/tex]
[tex]Purple = 28[/tex]
[tex]Blue = 26[/tex]
[tex]Orange = 16[/tex]
Required
Determine the probability of red then blue jelly? i.e. P(R and B)
From the question, we understand that the red jelly bean was not replaced. This means that the number of jelly beans reduced by 1 after the picking of the red jelly bean
So, we have:
[tex]P(R\ and\ B) = P(R)\ and\ P(B)[/tex]
This is then solved further as:
[tex]P(R\ and\ B) = P(R)\ *\ P(B)[/tex]
[tex]P(R\ and\ B) = \frac{n(R)}{Total}\ *\frac{n(B)}{Total - 1}[/tex]
The probability has a denominator of Total - 1 because the number of jelly beans reduced by 1 after the picking of the red jelly bean
The equation becomes:
[tex]P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{150- 1}[/tex]
[tex]P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{149}[/tex]
[tex]P(R\ and\ B) = \frac{22*26}{150*149}[/tex]
[tex]P(R\ and\ B) = \frac{572}{22350}[/tex]
[tex]P(R\ and\ B) = 0.02559284116[/tex]
[tex]P(R\ and\ B) = 0.0256[/tex]
Consumer complaints are frequently reported to the Better Business Bureau. In one year the industries with the most complaints to the Better Business Bureau were banks; cable and satellite television companies; collection agencies; cellular phone providers; and new car dealerships. The results for a sample of 200 complaints are contained in the DATAfile named BBB.Click on the datafile logo to reference the data.Bank 26, Cable 44, Car 42, Cell 60, Collection 28(a) Show the frequency and percent frequency of complaints by industry.Industry Frequency % Frequency Bank Cable Car Cell Collection Total (b) Which industry had the highest number of complaints?- Select your answer -Banks/Cable and satellite television companies/Collection agencies/Cellular phone(c) Comment on the percentage frequency distribution for complaints.The input in the box below will not be graded, but may be reviewed and considered by your instructor.
Answer:
Consumers Complaints
a) Frequency and Percent Frequency of Complaints by Industry:
Industry Frequency % Frequency
Bank 26 13% (26/200)
Cable 44 22% (44/200)
Car 42 21% (42/200)
Cell 60 30% (60/200)
Collection 28 14% (28/200)
Total 200 100%
b) The Cellular Phone industry has the highest number of complaints.
c) The percentage frequency distribution of complaints shows that many consumers are not satisfied with the services of their cellular phone providers. This highest level of service dissatisfaction is followed by services rendered by Cable and Satellite Television Companies and Car dealers, in that order. Comparatively, less dissatisfaction was showed to Collection and Bank services.
Step-by-step explanation:
a) Data and Calculations:
Bank 26
Cable 44
Car 42
Cell 60
Collection 28
Industry Frequency % Frequency
Bank 26 13% (26/200)
Cable 44 22% (44/200)
Car 42 21% (42/200)
Cell 60 30% (60/200)
Collection 28 14% (28/200)
Total 200 100%
Can someone tell me the answer to this
Answer:
1.423 x [tex]10^{12}[/tex]
5.78 x [tex]10^{-6}[/tex]
Step-by-step explanation:
Scientific notation is a way of denoting a quantity as a single-digit number followed by decimals, times a base of ten.
help this should be simple
5. A cylindrical pillar is 50 cm in diameter and 3.5 m in height. Find the cost of painting
the curved surface of the pillar at the rate of 12.50 per m.
Answer:
The cost of painting the curved surface of pillar is: 68.69
Step-by-step explanation:
Given that
Diameter of pillar = d = 50 cm
As the height is in meters and we have to find the cost in per square meter, we have to convert cm into meters.
So,
d = 50/100 = 0.50 m
Now the radius will be:
[tex]r = \frac{d}{2} = \frac{0.50}{2} = 0.25m[/tex]
Also
Height = 3.5m
The curved surface area of cylinder is given by:
[tex]CSA = 2\pi rh[/tex]
Putting the values
[tex]CSA = 2 * 3.14 * 0.25 * 3.5 = 5.495\ m^2[/tex]
It is given that the cost per square meter is 12.50
The total cost for 5.495 m^2 will be: 12.50 * 5.495 = 68.6875
Rounding off to nearest hundredth: 68.69
Hence,
The cost of painting the curved surface of pillar is: 68.69
Marshall is comparing introductory rates for two different video streaming services. He can pay $22.50 for the first 3 months with Watch It Now, or he can pay $43.50 for the first 6 months with Megaflicks. Which service's introductory rate is a better deal?
Answer:
megaflicks would be the better deal
Step-by-step explanation:
22.50 divided into 3 months would be 7.50
43.50 divided into 6 months would be 7.25
Meaning that you'd pay less every month with megaflicks.
Answer:
MEGA FLIX
Step-by-step explanation:
Kamal spent 40% of his income. He
deposited Rs. 400 in a bank and
was left with Rs. 500. What is his
income?
(a) Rs. 1200
(b) Rs. 1450
(c) Rs. 1500
(d) Rs. 1680
an
Answer:
(c) Rs. 1500
Step-by-step explanation:
Percentages
It's given Kamal spent 40% of his income. With the remaining 60%, he deposited Rs. 400 in a bank and still has Rs. 500 left.
This means Rs. 400 + Rs. 500= Rs. 900 is 60% if his income.
The 100% of his income is calculated as a percent proportion:
If 60% is Rs. 900, then 100% is:
[tex]\displaystyle \frac{900}{60}*100=1500[/tex]
Thus, Kamal's income is Rs. 1500. Correct choice: (c) Rs. 1500
Which term best describes the expression 2x + 2dy−3?
Monomial
Not a polynomial
Trinomial
Binomial
Answer:
the term is separated by minus (-) and plus (+) .
therefore this term is trinomial.
Remove all perfect squares from inside the square root
172
Answer:4^\67
Step-by-step explanation:
7. 70% of what number is 112
Answer:
1.6
Step-by-step explanation:
you divide 112/70 and you get 1.6
You’ve been saving your money to buy a guitar. You have 3 ten-dollar bills, 8 five-dollar bills, and 26 one-dollar bills. You also have 47 quarters, 105 dimes, 62 nickels, and 149 pennies. In addition, you have a check for $25.00, which is a gift from a relative. You decide to deposit this money in your savings account. How much is your total deposit?
Answer: $147.84
I had the same question and it is $147.84.
Answer:
$137.34 is your total deposit
Step-by-step explanation:
add all of the totals together
Which number line shows the solution of -5 + 10 > -15?
What is the slope of the line that passes through the points (8, 2) and (9,3)? Write
your answer in simplest form.
Answer:
1
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
3-2/9-8
1/1
1
Best of Luck!
Consider the function.
Which conclusions can be drawn about f–1(x)? Select two options.
Answer:
The function is being reflected
Step-by-step explanation:
When a function becomes negative it is being reflected
Answer:
C and E
f–1(x) has a y-intercept of (0, –36).
f–1(x) has a range of all real numbers.
Step-by-step explanation:
edge
TASK
#18 MILK AND COOKIES
Santa wants to serve milk and cookies to all
of the elves on Christmas Eve. He has already
ordered cookies, but still needs to decide how
much milk to order
Each elf will get a 1
cup of milk. If there
are 328 elves, how
many quarts of milk
need to be ordered?
Answer:
1312 quarts
Step-by-step explanation:
1 cup = 4 quarts
328 ^ 4 = 1312
Answer:
82 quartsStep-by-step explanation:
Each elf gets 1 cup of milk
Number of elves = 328
1 quart = 4 cups ⇒ 1 cup = 1/4 quart
Required volume of milk is:
328 cups = 328*1/4 quarts = 82 quarts82 quarts of milk to be ordered
The graph of x < 3 or x > 5 would look like:
Answer:
Solution in photo
Step-by-step explanation:
Marty owns a motorcycle and does not like to put
more than 3,000 miles on it per year. If he drives
255 miles on average per month for1 year, will he
be within his 3,000 miles per year?
No he would be over by 60, all you have to do is multiply 255*12 to get the years amount of riding.
What is the range of the graph?
Answer:
[tex]-5 \leq y \leq 5[/tex]
Step-by-step explanation:
Just find the minimum point and the maximum point of the graph in the y-axis.
The minimum value is -5 and the maximum value is 5,
so the y- value of the graph can be any point between -5 and 5 (including -5 and 5).
And the range of the graph is greater or equal to -5 and lesser or equal to 5.
Which point is located at 2 7/10?
Answer:
C
there are 10 spaces in between 2 and 3, so you just count up to it
if a human has 152 points then asks a question for 30 and then answers this one for 40 points. how many will he have after this?
show your work. ( or not idc )
Answer: 162
Work: 152 - 30 which equals 122, then add 40, and you get 162.
I hope this helps for something, and Happy Holidays! :)
One friend claims that to find the height of the platform, you need to use the tangent ratio. Explain why her approach is or is not a reasonable
approach to finding the height of the platform.
Find the height of the platform. Explain the trigonometric ratio that you chose and why you chose it. Show your work.
Find the horizontal distance from the bottom of the ramp to the bottom of the platform. Show your work.
Answer:
x ≈ 1.64 my ≈ 3.09 mStep-by-step explanation:
ABC is right triangleAngle A and side AB givenSide BC to be foundUse sine of A to find the length of missing side:
opposite/hypotenuse = sinBC/AB = sin Ax/3.5 = sin 28x = 3.5* sin 28x = 3.5*0.47 ≈ 1.64 mHorizontal distance y is:
y = √3.5²-1.64²= √9.5604 = 3.09 mSolve for x using the
distributive property
4(x + 2) = 4
Answer:
-1
Step-by-step explanation:
4x + 8 = 4
subtract 8 from each side
4x = -4
divide each side by -4
x= -1
Answer:
x = -1
Step-by-step explanation:
You would first multiply 4 with is the first number by x and 2. You would get 4x+8. The you would subtract 8 by both sides. 4x = -4. The you would divide 4 by -4. Which will get you -1.
:)
FIND THE LCD FO 3/4 AND 7/9
Answer:
The LCD is 36.
Step-by-step explanation:
3/4 = 3/4 × 9/9 = 27/36
7/9 = 7/9 × 4/4 = 28/36
If x2 = 10, what is the value of x? (5 points)
+ V10
#V20
+5
+20
Answer:
[tex]x=\pm\sqrt{10}[/tex]
Step-by-step explanation:
It is given that,
[tex]x^2=10[/tex]
We need to find the value of x.
[tex]x=\pm\sqrt{10}[/tex]
Plus- minus will come before 10. So, the correct option is (A). Hence, this is the required solution.