Answer:
7 times a number increased by 4 times the number
Let a number and the number be an arbitrary variable. Let's call it x. We have an algebraic expression. Let's take it in pieces:
7 times a number: 7x
4 times the number: 4x
The phrase increased by means we add 4x to 7x:
7x + 4x
Simplifying, we get: (7 + 4)x
11x
Step-by-step explanation:
Mr. Harmon ordered calculators for his math class to use. He ordered a case of 24 calculators and paid a total
of $199.20.
What is the unit rate per calculator that Mr. Harmon paid?
$4.78
$8.30
$12.05
$17.52
HELP ME PLEASE
In an all boys school, the heights of the student body are normally distributed with a mean of 69 inches and a standard deviation of 2.5 inches. Using the empirical rule, what percentage of the boys are between 61.5 and 76.5 inches tall?
Step-by-step explanation:
plus of yhis number and solve it oksy
Shane's soccer team played three games in a tournament. Identify the sample
space (the correct list of possible outcomes) for the team's results.
W = win, L = loss
The notation WLL means Shane's team won the first game, lost the second
game, and lost the third game.
A. {WW, WL, LW, LL}
O B. (WWW, WWL, WLW, WLL, LWW, LWL, LLW, LLL}
C. {WWWW, WLWL, LLLL}
O D. {WWW, WWL, LLL}
Answer:
B
Step-by-step explanation:
the all posible situations are listed in the sample space
www =won all 3 games
wwl= won first 2 games and lost the last and so on...
Y=(x-3)^2+3
vertex form to standard form
Answer:
y = x² -6x +12
Step-by-step explanation:
You want the quadratic equation Y=(x-3)^2+3 written in standard form.
Standard formDepending on where you go to school, the given equation may already be in standard form.
Other places, standard form means the equation is simplified and terms are written in order of decreasing degree.
y = (x -3)² +3 = (x² -6x +9) +3
y = x² -6x +12
The angle of elevation to the top of a Building in New York is found to be 4 degrees from the ground at a
distance of 1.75 miles from the base of the building. Using this information, find the height of the building.
Round to the nearest whole number.
Your answer is
Submit Question
feet.
The height of the building can be 649.44 ft
What is angle of elevation ?
angle of elevation states that the angle which is formed between line of sight and horizontal line.
Given, the base of the triangle is 1.75 mile. The angle opposite of the tall side, x, is 4 degrees.
height of the building is an unknown variable (x) .
tan(angle) = opposite length /adjacent length.
Opposite length is x, adjacent length is 1.75 mile, angle is 4 degrees.
tan(4º) = x / 1.75
rearrange for x
x = 1.75*tan(4º) = ~1.75*0.0699 miles.
x = ~0.123
Now to get feet, just multiply by 5,280 ft in one mile
Height of the building is 0.123 miles * 5280 ft/mile = 649.44 ft
Hence , The height of the building can be 649.44 ft .
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Unitary method A car can cover a distance of 522km on 36litres of disesel. How far can it travel with 14litres,
Answer:
It can cover 203 km with 14 litres.
Step-by-step explanation:
Given that,
A car can cover a distance of 522km on 36litres of diesel.
522 km = 36 litres
1 l = (522/36) km
We need to find how far can it travel with 14 litres.
We can use the unitary method to solve it.
[tex]14\ L=\dfrac{522}{36}\times 14\\\\=203\ km[/tex]
So, it can cover 203 km with 14 litres.
irrational number formula
Answer:
hope it helps.
stay safe healthy and happy.
Compare numbers to their opposites based on their positions on a number line. Choose ALL true statements based on these comparisons.
A) −(−7) = 7
B) Zero is its own opposite.
C) −(−10) = −10
D) −14 and 4 are equally distant from 0.
E) −12 and 12 are equally distant from 0.
Answer:
A, B, E
Step-by-step explanation:
I'm not too sure about B, but A and E are definitely true
WILL GIVE BRAINLIEST
Q1) ABCD is a square. A is the point (-2,0) and C is the point (6,4). AC and BD are diagonals of the square, which intersect at M.
a) Find the coordinates of M,B and D.
b) Find the area of ABCD.
9514 1404 393
Answer:
a) M(2,2), B(4, -2), D(0, 6)
b) 40
Step-by-step explanation:
a) The midpoint of AC is the average of the endpoint coordinates.
M = (A +C)/2
M = ((-2, 0) +(6, 4))/2 = (4, 4)/2
M = (2, 2)
There are several ways to find points B and D. One of them is to rotate points A and C 90° about M. The 90° CCW rotation transformation about the origin is ...
(x, y) ⇒ (-y, x)
About the point (2, 2), the transformation would be ...
(x, y) ⇒ (-(y -2)+2, (x -2)+2) = (4 -y, x)
Rotating point A 90° to get point B, we have ...
B = (4 -0, -2)
B = (4, -2)
And rotating C to get point D, we have ...
D = (4 -4, 6)
D = (0, 6)
__
b) The area of the square is half the square of the diagonal. The square of the diagonal can be found using the distance formula ...
d² = AC² = (6-(-2))² +(4 -0)² = 64 +16 = 80
Then the area is ...
area = AC²/2 = 80/2
area = 40 . . . . square units
Easy Cooking is a cooking supply company. Last year, the company sold 32,010 ovens. This year, they sold 30% fewer ovens than that. How many ovens did they sell this year?
Answer:
9,603 ovens
Step-by-step explanation:
Given:
Last year ---> 32,010 ovens
This year ---> 30% of last year
Question:
How many ovens did they sell this year?
Work:
To find out how many ovens they sold this year, all of you have to do is just multiply 30% by 32,010, the amount of ovens they sold last year
32,010 * 0.3 = 9,603
Solution:
Easy Cooking sold 9,603 ovens this year.
Hope this helped! :D
Given that cot 0 =
5
-, find csc 0.
√11
According to the given cosecant function the value of csc 0 is equal to 6/5.
What is the cosecant function?The sine function has a reciprocal called the cosecant function. The cosecant function is the hypotenuse divided by the opposite side, just like the sine function is the opposite side divided by the hypotenuse. The hypotenuse and legs are terms for the two sides that are not at the right angle.
It is given that:
[tex]cot\ 0=\sqrt{\frac{11}{5} }[/tex]
According to trigonometric identity,
[tex]csc^2\ alpha - cot^2\alpha = 1\\csc^2\ 0 -\frac{11}{25} =1\\csc^2\ 0 = \frac{36}{25} \\csc\ 0= \frac{6}{5}[/tex]
Therefore the value of csc 0 is equal to 6/5.
Complete question;
Given that [tex]cot\ 0=\sqrt{\frac{11}{5} }[/tex]
find csc 0.
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Seven television sets are chosen at random (i.e., without replacement) from a shipment of 240 television sets of which 15 are defective. Calculate the probability that at least 1 of the chosen televisions are defective.
Answer:
7/16
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.
Proportion of defective televisions in the shipment = 15/240 = 1/16
Probability that 1 of the 7 chosen is defective = 1/16 x 7 = 7/16
PLSSSSSSSSSSS HELPPPPPPPPP
Answer:
B and D
Step-by-step explanation:
 Please tell me what question 4
Step-by-step explanation:
In my opinion I think the answer for this question is B you don't have to choose it because it might be wrong
PLEASE HELP ME ASAP
Select all the key features of the graph of the equation.
The key features of the graph of the given equation -8x + 20y = 240 include the following:
D. As x → -∞, y → ∞.
E. The y-intercept is (0, 12).
H. The x-intercept is (-30, 0).
How to determine the key features of this equation?Making y the subject of formula in order to determine the slope, we have:
20y = 8x + 240
Dividing both sides of the equation, we have:
y = 8x/20 + 240/20
y = 8x/20 + 12
Therefore, the slope is equal to 8/20.
What is y-intercept?In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
When x = 0, the y-intercept is given by;
20y = 8(0) + 240
y = 240/20
y = 12.
Therefore, the y-intercept is equal to (0, 12).
When y = 0, the x-intercept is given by;
-8x + 20(0) = 240
x = -240/8
x = -30
Pls help me ! I rlly need help on this have a great day or night
link below!!!!!!!!!!!
A family went out to dinner. The cost of their meal was $57.50, before sales tax and tip.
A sales tax of 8% was added.
The family then tipped 18% on the amount after the sales tax was added.
Part A:
What was the amount, rounded to the nearest cent, of just the sales tax?
Part B : What was the total amount the family paid , including tax and tip , rounded to the nearest cent ?
PLEASE HELP
Answer:
I hope I got this answer right
A is 4.60 and B is 8.30
a student states that the exterior angle of a triangle can never be a right angle. find the mistake and correct it
Answer:
FALSE statement
Step-by-step explanation:
a right triangle’s exterior angle is 90 degree
Can y’all help me?!
Answer:D
Step-by-step explanation:
3 is on the positive x side and 2 is on the negative y side so it will be (3,-2)
Solve on the interval [0, 2pi): 4csc x +6=-2
By solving the interval : [0,2pi] 4 csc x +6=-2 is 7pi/6 , 11pi/6
What are Trigonometric identities?Trigonometric identities are equality conditions in trigonometry that hold for all values of the variables that appear and are defined on both sides of the equivalence. These are identities that, geometrically speaking, involve certain functions of one or more angles. defining sine and cosine in terms of tangent, cotangent, secant, and cosecant interactions. The sine and cosine formula according to Pythagoras. This trig identity is arguably the most significant.[tex]& 4 \csc x+6=-2 \\[/tex]
[tex]& 4 \csc x=-8 \\[/tex]
Simplifying,
[tex]& \csc x=-2 \\[/tex]
[tex]& \frac{1}{\sin x}=-2 \\[/tex]
[tex]& \sin x=-\frac{1}{2} \\[/tex]
We get,
[tex]& x=\frac{7 \pi}{6}, \frac{11 \pi}{6}[/tex]
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-k -(-8k)
HELP PLS !!
Answer:
7k is the answer
Step-by-step explanation:
-k -(-8k)
-k+8k
7k
In a week, an airline operates a flight from San Francisco to New York once a day. The total travel times for this week are:
Sunday: 343 min.
Monday: 314 min.
Tuesday: 401 min.
Wednesday: 341 min.
Thursday: 359 min.
Friday: 407 min.
Saturday: 378 min.
What was the range of flight times for the route that week?
a. 66 min
b. 93 min
c. 29 min
d. 87 min
Answer:
To find the range of flight times, you need to find the difference between the shortest and longest flight times. The shortest flight time was on Monday at 314 minutes, and the longest flight time was on Friday at 407 minutes. The range is 407 - 314 = 93 minutes. The correct answer is therefore (b) 93 min.
Step-by-step explanation:
Help me out:)i need an answer as soon as possible!!!
-our classmates were asked to decorate /5 or the bulletn boara In a classroom They divided the section to be decorated equally among the 4 classmates. Whe fraction of the entire bulletin board did each classmate decorate? (5.NF.7)
The fraction of the entire bulletin board decorated by each classmate is N/20.
Fraction of a number.Fraction is a mathematical expression which is made up of denominator and a numerator. So that fractions may generally be categorized into 3 types. These are: proper fraction, improper fraction, and mixed fraction.
Considering the given question, let the size of the bulletin board be represented by N.
The section of the bulletin board to be decorated = 1/5 * N
= N/ 5
There are 4 classmates that has been selected to divide the section to be decorated equally among themselves. So.
Fraction of the board to be decorated by each student = (N/ 5)/ 4
= 1/20 N
The fraction of the board to be decorated by each student is N/20.
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a bank account grows by 7% each year .by what percentage dose it grow each decade
Answer:
Each decade it grows by 10% because a whole decade is 10 years
7. Sarah draws a card from a standard deck, throws the card away, and then draws another card.
Are these events independent or dependent?
Answer:
dependent
Step-by-step explanation:
If the probability of an outcome is 2/9, what are the odds against that outcome?
Answer:
7/9
Step-by-step explanation:
If the chances of an outcome are 2/9, the odds against it can be found by subtracting that from 1.
1 - 2/9
= 7/9
So, the odds against that outcome are 7/9
What is 2/3 plus 1/5 equal
Answer: 13/15
Step-by-step explanation: Hope this helps, please mark brainliest and give thanks!
2/3+1/5
15÷3*2+15÷5*1
10+3/15
13/15
Without looking, you get to choose twice. You will not put them back
each time, because that would be gross.
A) What kind of event is this (independent or dependent)?
B) What is the probability that you would draw 2 reds?
show your work and answer
A) This is an independent event.
B) The probability that you would draw 2 reds is 0.017
What is probability?The likelihood of an event occurring is known as probability. You can determine how likely something is by asking someone what the probability of something happening is.
When people purchase lottery tickets, the likelihood of winning is typically stated, and it occasionally may be as low as 1/10,000,000. (or even worse). This informs you that there is a low likelihood that you will succeed.
There are 4 reds out 0f 30 colours
The probability of drawing red the first time is 4/30 = 2/15
The probability of drawing red on the 2nd time is 4/30 = 2/15
The probability of drawing red on the both draw is = 2/15 × 2/15
= 4/225
= 0.0170
Thus, The probability of drawing red on the both draw is 0.0170.
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What is an angle that is supplementary to HDI?
Answer:
hde
Step-by-step explanation:
they both add up to 180 since they're both on line BI
Answer:
<EDH
Step-by-step explanation:
When two angles are supplementary they sum to 180. This means together they form a straight line. So, to find the answer find the angle that connects to <HDI to create one straight line. In this case, that is <EDH because line EI is straight and the two aforementioned angles are the ones that create the line.