Answer:
x-3>15
x>18
Step-by-step explanation:
usually its better to read it from right to left, more than 15 tells you its gonna be >. then you see 3 less than x, which is x-3. Then solve as if the > was an equal sign
x-3>15
+3 +3
x>18
The inequality representing 'Three less than a number x is more than 15' is x - 3 > 15. Solving this, we get x > 18. Hence, x should be greater than 18.
The word sentence given is: 'Three less than a number x is more than 15'. To write this as an inequality, we start by identifying the mathematical phrase for 'Three less than a number x', which is 'x - 3'.
The phrase 'is more than' translates to the inequality symbol '>'.
Therefore, we set up the inequality as follows:
x - 3 > 15
Next, we solve the inequality step-by-step:
Start with the inequality: x - 3 > 15Add 3 to both sides to isolate x: x - 3 + 3 > 15 + 3This simplifies to: x > 18So, the solution to the inequality is x > 18.
In summary, when converting word sentences to inequalities, ensure you accurately translate the phrases and solve them step-by-step to find the solution.
PLS HELP ILL MARK YOU BRAINLLIEST!!!!! Write down the first four terms of the sequence whose nth term is: 4n-2
Answer:
2 6 10 14
Explanation:
Nth term works by having n as the term's place in the sequence.
So the first term , n=1 and you work it out from there
Second term, n=2 and you work it out from there
And so on
So:
4×1 = 4 - 2 = 2
4×2 = 8 - 2 = 6
4×3 = 12 - 2 = 10
4×4 = 16 - 2 = 14
Which function is a translation of the parent absolute value function?
f(x) = 2[x]
f(x) = [x+6]
fx) = [X]
f(x) = -4[x]
Answer:
[tex]f(x) = |x+6|[/tex]
Step-by-step explanation:
Let be [tex]f(x) = |x|[/tex] the parent absolute value function. A translation of such function has the form of [tex]f(x) = |x-k|[/tex], where [tex]k \in \mathbb{R}[/tex]. Then, the right choice is:
[tex]f(x) = |x+6|[/tex]
What's the sum of 3, and 46?
A.²6
C. /
D. 4/24
Answer:
um, 49....
Step-by-step explanation:
where is B and what happened to C
for a different punch recipe, the equation,s=4c represents the number of cups of seltzer,s, that you need for,c, cups of cranberry juice. what is the constant of proportionality?
Answer:
4
Step-by-step explanation:
If two variables are proportional then
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
where, k is constant of proportionality.
The given equation is
[tex]s=4c[/tex] ...(ii)
where,
s = number of cups of seltzer.
c = cups of cranberry juice.
On comparing (i) and (ii), we get
Independent variable: [tex]x=c[/tex]
Dependent variable: [tex]y=s[/tex]
Constant of proportionality: [tex]k=4[/tex]
Therefore, the constant of proportionality is 4.
Which of the following is the linear parent function?
A. F(x) = x
B. F(x) = x + 1
C. F(x) = 1/x
D. F(x) = x^2
Option A, F(x) = x, is the correct linear parent function because it represents a straight line with a slope of 1 that passes through the origin.
The linear parent function is the simplest form of a linear equation, which is described by a straight line with a slope of 1 and goes through the origin (0,0) on a coordinate plane. Among the options given, the correct answer is A. F(x) = x. This function represents a straight line that has a slope (gradient) of 1 and passes through the origin, making it the parent function for all linear equations. Options B, C, and D are not linear parent functions; B represents a linear function with a y-intercept of 1, C is a reciprocal function, and D is a quadratic function.
How can I identify the shaded part of 100 grid as a fraction and a decimal?
To identify the shaded part of a 100 grid as a fraction, count the shaded squares; each represents 1%, making the denominator 100. The fraction formed can be simplified if possible, and converting it to a decimal involves dividing the numerator by the denominator.
To identify the shaded part of a 100 grid as a fraction and a decimal, you must first count the number of shaded squares. Since each square represents 1% of the total grid, the number of shaded squares can be directly written as a percent. For example, if 45 squares are shaded, the shaded part would represent 45%.
As a fraction, this is equal to 45/100, because the denominator should be 100 in order to represent a percent as a fraction.
To convert this fraction to a decimal, divide the numerator by the denominator which gives 0.45. If you have shaded half the grid, it means 50 squares are shaded out of 100. The fraction would therefore be 50/100, which simplifies to 1/2, and the decimal would be 0.50.
solve the proportional equation
5/12 = x/15
Answer: 6.25.
Step-by-step explanation:
Let's put your question into a proper proportional form, because it is a ratio that is equal.
[tex]\frac{5}{12} = \frac{x}{15}[/tex]
To solve proportions, you have to cross-multiply in the direction that has numbers, which is 5 and 15, then divide to 12.
[tex]5 * 15 / 12 = 6.25[/tex]
The answer you should get by doing this is 6.25.
Answer:
x=6.25
Step-by-step explanation:
Cross multiply
5/12=x/15
12*x=15*5
12x=75
Divide both sides by 12 to isolate the variable x
x=6.25
Or, multiply both sides by 15 to "reverse" the division being done to x
5/12=x/15
15*5/12=x/15*15
6.25=x
Given h(x) = x2 – 5x + 7, find the following.
a. h(2)
b.h(-5)
c. h(-8)
Answer:
Step-by-step explanation:
hello :
h(x) = x² – 5x + 7
h(-2) = (-2)² – 5(-2) + 7 =4+10+7 =21
h(-5) = (-5)² – 5(-5) + 7= 25+25+7 =57
h(-8) = (-8)² – 5(-8) + 7 = 64+40+7=111
Multiplication and division word problems
Leia is setting up 417 toy cars. Each
car needs 3 batteries to drive.
How many batteries does Leia need
for her cars?
Answer:
417÷3=139 Batteries for all cars
Answer: 1,251 batteries
Step-by-step explanation: 417x3=b
417x3=1,251
The number 50 is 5 times as many as 10?
Answer:
yes you are correct 50 is 5 times as many as 10 because 10 times 5 is 50 thank me later
Step-by-step explanation:
The statement is indeed correct: 50 is 5 times as many as 10. This understanding comes from the powers-of-ten notation system. We can also relate this to the concept of order of magnitude; the order of magnitude of 50 is 10², providing an approximation of its size in powers of ten.
Explanation:The question is asking if the number 50 is 5 times as many as 10. In mathematics, if you multiply 10 by 5, you do get 50, so the statement is indeed correct. This concept is part of multiplication and understood by using the powers-of-ten notation system, which is based on increases of ten.
The powers-of-ten notation system is the basis of our counting system, where each digit's place is ten times greater than the digit to its right. This notation system is used because humans have ten fingers and started counting with them.
An interesting approach is to relate this to order of magnitude. The order of magnitude of 50 is 10² because it's closer to 10² (100) than 10³ (1000). The order of magnitude only changes when you pass the square root of 10 (~3.16). Since 5 is greater than 3.16, when you multiply it by 10, it surpasses 10² (100), giving the order of magnitude as 10³. This is slightly off from the actual value of 50, illustrating how order of magnitude provides an approximation, not an exact value.
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Hailey wants to buy a new pair of Vans. She found them on-line for $70. If the site is offering 20% off how much are the new Vans?
Answer:
$56
Step-by-step explanation:
Answer:
56 dollars
Step-by-step explanation:
20% is 14 dollars so 70 (the original price) minus 14 is 56
Write 0.46 as a fraction simplest form
Answer:
23/50
Step-by-step explanation:
.46
There are 2 numbers after the decimal so we put it over 1 plus 2 zero's
46/100
Divide the top and bottom by 2
46/2 = 23
100/2 = 50
23/50
This is simplest form since 23 is prime and it does not go into 50 evenly
Which type of transformation is shown in the graph below?
Please help
A.
dilation
B.
reflection
C.
rotation
D.
translation
Answer:
c
Step-by-step explanation:
c
Colleen Buys a movie for $20 pay you 7% sales tax. Her cousin brad lives in another state brad by the same movie for $22 and a pays 6% recent sales tax. who pays more sales tax? How much more?
Answer:
Colleen pays more. 7% of 20 is 1,40
Brad Pays less as 6% of 22 is 1.32
so a .08 difference
Step-by-step explanation:
Answer:
Colleen pays 8 cents more in taxes than Brad
Step-by-step explanation:
Evaluate the geometric series. Round to the nearest hundredth.
Please help me!!!
Answer:
32.59
That's what my calculator said
also I use acellus too Hi friend!
Answer:
32.59
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]
where a is the first term and r the common ratio )
4[tex](\frac{8}{9}) ^{n-1}[/tex] ← is the n th term expression
with a = 4 and r = [tex]\frac{8}{9}[/tex]
The sum of n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(1-r^n)}{1-r}[/tex], thus
[tex]S_{20}[/tex] = [tex]\frac{4((1-\frac{8}{9}) ^{20}) }{1-\frac{8}{9} }[/tex]
= [tex]\frac{4(1-\frac{8^{20} }{9^{20} } )}{\frac{1}{9} }[/tex]
= 36( 1 - 0.0948)
= 36(0.905)
= 32.59 ( to the nearest hundredth )
During halftime of a basketball game, a sling shot launches T-shirts at the crowd. A T-shirt is launched with an initial upward velocity of 78 feet per second. The hight of the t-shirt (h) in feet after t seconds is given by the function h=-16t^2+78t+5. How long will it take the T-shirt to reach its maximum height? What is the maximum height? What is its maximum height?
A report card has six marks. The average of the first and second marks is 72%. The average of
the second and third marks is 75%. The average of the third and fourth marks is 77%. The
average of the fourth and fifth marks is 78%. The average of the fifth and sixth marks is 79%.
a) Determine the overall average. b) Determine the average of the first and sixth marks.
Answer:
a) Overall average = 76%
b) Average of first and sixth marks = 75%
Step-by-step explanation:
Let's call the marks a, b, c, d, e and f, in this order.
Then, we can write the following equations:
(a+b)/2 = 0.72 -> a + b = 1.44 (eq1)
(b+c)/2 = 0.75 -> b + c = 1.5 (eq2)
(c+d)/2 = 0.77 -> c + d = 1.54 (eq3)
(d+e)/2 = 0.78 -> d + e = 1.56 (eq4)
(e+f)/2 = 0.79 -> e+ f = 1.58 (eq5)
If we sum all equations, we have:
a + 2b + 2c + 2d + 2e = f = 7.62 (eq6)
Then, we make (eq6) - (eq2) - (eq4):
a + b + c + d + e + f = 4.56 (eq7)
a) The find the overall average, we just need to divide (eq7) by 6:
Overall average = (a + b + c + d + e + f)/6 = 0.76 = 76%
b) First we need to make (eq7) - (eq2) - (eq4):
a + f = 1.5
Then, the average is:
Average = (a+f)/2 = 0.75 = 75%
Final answer:
The overall average of the six marks is 63.5%, and the average of the first and sixth marks is 75.5%. The calculation involves setting up algebraic equations from the given average pairs and solving for the totals and individual marks.
Explanation:
To calculate the overall average and the average of the first and sixth marks, we need to use some algebra. Since we know the average of the first two, second two, and so on, we can set up equations to find the individual scores.
Let the individual marks be represented as A, B, C, D, E, and F. From the given information, we can say:
(A + B) / 2 = 72
(B + C) / 2 = 75
(C + D) / 2 = 77
(D + E) / 2 = 78
(E + F) / 2 = 79
To find the overall average, sum all equations:
A + B = 144
B + C = 150
C + D = 154
D + E = 156
E + F = 158
Adding all these together, we get 2(A + B + C + D + E + F) = 762. Then, the total sum of the six marks A + B + C + D + E + F = 381. The overall average is 381 divided by 6, which equals 63.5%
To find the average of the first and sixth marks, we can use the first and last equations we have set up:
A + B = 144
E + F = 158
Now we add the two to get A + B + E + F = 302. However, we need only the sum of A and F. Since A + B + C + D + E + F = 381, we can subtract the sum of B, C, D, and E, which we find from the other equations:
Subtract (B + C + D + E) from 381 (Total sum), we get:
381 - (150 + 154 + 156)/2 = 381 - 230 = 151
This leaves A + F = 151. Dividing by 2, we get that the average of the first and sixth marks is 75.5%
the library labels each book with a five-digit code to identify the books in their computer system. each code is 3 digits (0-9) followed by two letters. how many codes are possible?
Answer:
676000
Step-by-step explanation
3 digits of the 5-digit code are number 0-9 which is 10 numbers that could go into that spot, after the three digits there are two letters and because there are 26 letters in the alphabet you would multiply 10*10*10*26*26 which equals 676000
There are 676,000 possible codes.
What is Combination?An arrangement of objects where the order in which the objects are selected does not matter.
Given that library labels each book with a five-digit code to identify the books in their computer system.
Each code is 3 digits (0-9) followed by two letters
We need to find the possible number of codes.
There are 10 possible digits (0-9) for each of the first three positions, and 26 possible letters (A-Z) for each of the last two positions. Therefore, the total number of possible codes is:
10 x 10 x 10 x 26 x 26 = 676,000
Hence, there are 676,000 possible codes.
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help me guys 64−(3y+8y+y)÷40=37
Answer: -118
Step-by-step explanation:
first multiply by 40. 37x 40 is 1480. No subtract 64 from both sides (1416). Multiply both sides by negative one to make the parentheses positive. -(1416)
on the inside that would be 12y so divide -1416 by 12 which is -118
I hope that's right!! :)
NOTE it isn't -118 sorry!!! I didn't see that in the original post
An automobile insurance company claims that teenage drivers save on average $490 per year when compared to the same coverage from another company, with a standard deviation of $65 per year. Natalia is a teenager and a customer of this company and her average savings was $470 per year. What is the z-value for Natalia’s savings rounded to the nearest hundredth?
Question 1 options:
a)
The z-value is -0.90.
b)
The z-value is 0.90
c)
The z-value is 0.31.
d)
The z-value is -0.31.
Answer:
d) The z-value is -0.31
Step-by-step explanation:
-Given that Natalia's saving is $470, mean claim amount is $490 and the standard deviation is $65
-Let Natalia's savings be X
#The z-value is calculated using the formula:
[tex]z=\frac{X-\mu}{\sigma}\\\\=\frac{470-490}{65}\\\\=-0.30\approx -0.31[/tex]
Hence, Natalia's z-value is -0.31
2
Which statement explains why 49 is a perfect square?
O
49 can be multiplied by 49.
49 is equal to 7 plus 7
49 is between 36 and 64.
49 is equal to 7 times 7
O
Answer:
49 is equal to 7 times 7
Step-by-step explanation:
3x + y = 11 If you are given that y = x - 1, find the value of x
Answer:
x = 3 and y = 2
Step-by-step explanation:
I graphed both equations on the graph below.
If this answer is correct, please make me Brainliest!
Hello ya'll. I have a quick question to ask ya'll.
Question: Let be the middle number of three consecutive integers. Write an expression for the sum of these integers.
Sum of the integers = ___
Answer:
[tex]3n[/tex]
Step-by-step explanation:
If the initial number is n, one less than n is n - 1, and one more than n is n + 1. so we have:
[tex]n - 1 + n + n + 1=3n[/tex]
At first I thought this answer was too easy, so I tried for n is 6.
[tex]3*6=18\\5+6+7=18[/tex]
This is really cool! Hope this helps!
x = -19 + 19 what is the value of the expression
Answer:
The answer is 0
Step-by-step explanation: The question can be rewritten to 19-19 so the answer would be 0
Answer:
here
x = -19 + 19
= 0
the value of x is 0.
Step-by-step explanation:
Assume that 2 cards are drawn from a standard 52-card deck. Find the following probabilities.
a) Assume the cards are drawn without replacement. Find the probability of drawing 2 tens.
b) Assume the cards are drawn with replacement. Find the probability of drawing 2 tens.
a. The probability of drawing 2 tens without replacement is
(Simplify your answer.)
b. The probability of drawing 2 tens with replacement is
(Simplify your answer.)
Answer:
Step-by-step explanation:
WITHOUT replacement of first card drawn:
P(a 10 is drawn) = 13/52 = 1/4
P(the next draw is a 10) = 12/52 = 3/13
P(drawing two 10s without replacement of the first draw) = (1/4)(3/13) = 3/52
WITH replacement of first card:
P(two 10s are drawn) = P(first card is a 10)*P(first card is a 10) = (4/13)(4/13) =
16/169
This image shows a square pyramid.
What is the surface area of this square
pyramid?
Answer:
A = a^2 + 2a * √((a^2)/4 + h^2)
Step-by-step explanation:
This is the overall formula because I don't see the attachment for any pyramid
The answer is 200 ft²
Ms. Roth has made 200 headbands and is deciding what price to charge for them.
She knows that she will sell more if the price is lower. To estimate the number she can
expect to sell, she uses the function N defined as N(p) = 200 – 1.5p, where p is
the price in dollars.
Which choice describes a function, S(p), that models the total sales in dollars she can
expect?
Answer:
I THINK:
There will be 8 grams left after 36 minutes.
Step-by-step explanation:
A half-life is how long it takes for half of the amount to go away. in this case, we see that we have two half-life periods worth, which you can determine by dividing the total time by the half-life time.
36mins/16mins = 2 half lives.
now we can raise 1/2 to the power of how many half lives we have (2). then we multiply that by the amount in the sample.
(1/2)^2 * 36
1/4 * 36
8 grams
40) A real estate agent is selling her clients a modular prefab home. She presents the final blueprint to her clients so they can get an idea of the layout. The blueprint has a key that shows inch = 12 feet, and the actual length of the house is
marked as 96 feet. What is the relative length (r) of the house shown on the blueprint? Show work
Answer:
8 inches
Step-by-step explanation:
if the house is actually 96 feet then you would have to divide 96 by 12 since the question states that one inch equal 12 feet and by dividing you would come up with the length by inches for the blueprint.
96/12=8
show steps to rewrite 3x6/8 as the product of a unit fraction and a whole number
Answer:
The answer that is responded to this one is what you should get
Step-by-step explanation:
For number 2 I know the answer but I just need work so if you could please explain the work I’d be thankful
Answer:
Step-by-step explanation: when you take 521 and divide it by 4 you get 130.25, which is about 130, making you choose answer choice B. (lol i like your profile picture too!!)