The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of new-release and classic movies bought? x = 8, y = 45 x = 10, y = 22 x = 16, y = 22 x = 18, y = 18
He'll buy 16 new releases and 22 classic movies.
Let x = number of new releases
Let y = number of classics.
The equation to solve the question will be:
20x + 8y = 500
When x= 16 and y = 22, thus will be:
= 20x + 8y
= 20(16) + 8(22)
= 320 + 176
= 496
Therefore, since this is the number closest to $500, therefore this will be the appropriate number of movies that he can buy.
In conclusion, he'll buy 16 new releases and 22 classic movies.
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Answer:
x = 16, y = 22
Step-by-step explanation:
tell the absolute value of:
The absolute value of any number is that number as a positive one.
Absolute value of -1/2 is 1/2
15 less than a number y
Answer: it would be: y - 15
as an expression
Answer:
y-15
Step-by-step explanation:
Here it means we are removing 15 from y
2. The expression 35^2 is equivalent to the product of two perfect squares (each greater than 1). You can find the two
perfect squares by factoring 35^2.
Write the perfect squares that have a product equivalent to 35^2.
Answer:
25 and 49.
Step-by-step explanation:
Because 35 = 5 * 7,
35^2 = 5^2 * 7^2
= 25 * 49.
find the real numbers x and y that make the equation true (x+6i)=(3-i)+(4-2yi)
Answer:
x = 7
y = -7/2
Step-by-step explanation:
(x+6i)=(3-i)+(4-2yi)
First look at the real parts
x = 3 +4
x = 7
Then look at the imaginary part
6i= -i -2yi
6 = -1-2y
Add 1 to each side
6+1 = -2y
7 = -2y
Divide by -2
7/-2 = y
( 100 POINTS FOR EVERYTHING )
[ Integers ]
You know what to do, there are 2 images and make sure to answer every single one. I know 1 person who knows this topic very well.
Answer:
3. x+8
4. 6y
5. 1/2m
6. 50/h
7. 7-n
8. 15+x
9. 2t/12
10. p² -3
11. 2k-7
12. 3(w+5)
13. C
14. The error was it was written that you would subtract the pages read by pages in the article which is incorrect. You would subtract pages total (5) by pages read (p). So it is 5-p.
15. 4v
16. 16/p
17. 2.97/p
18. 20+j
19. 7-d
20. m/60
21. y/12
22. unit rate-8
23. unit rate-1.5
24. unit rate-2.4
25. unit rate-6.8
26. C
How to find the domain when given the range? Plz answer quickly. I have test on Friday. Plz just explain to me. I Just Need To Find DOMAIN when given the range.
Answer:
the domain represents all the x values and range represents all the y value
In a function y=mx+b ( linear equation), the problem is giving the y values so plug in the value of each (y) in the equation to get x.
example: the range is : { 2,4,6} find the domain in the function y=x+1
y=x+1 take value 2
2=x+1
x=1 when y=4 then x=3when y=6 then x=5the domain is { 1,3,5}this goes for linear equation
3 · -8 + 5 - 4 ÷ 2= please help will mark as brainiest
√x=x^2 is the equation correct
Answer:
no
Step-by-step explanation:
It is x^(1/2)
Answer:
This equation is incorrect.
Step-by-step explanation:
The sqrt(x) does not equal x squared.
You can rewrite a square root to be to the one-half power. See if this looks correct:
x^(1/2) ?= x^2
No of course these aren't equal. Hence, this equation is incorrect.
Cheers.
If AB = 4x +10, BC = 2x +3 and AC= 9x - 15 find AC. and show work plzz !!!!
Answer:
Step-by-step explanation:
AB + BC = AC
4x + 10 + 2x + 3 = 9x - 15
6x + 13 = 9x - 15
6x + 13 + 15 = 9x
6x + 28 = 9x
3x = 28
x = 9 1/3 = 28/3
AC = 9 * 28/3 - 15
AC = 3 * 28 - 15
AC = 84 - 15
AC = 69
the product of 8 and p
Answer:
8p
Step-by-step explanation:
Multiply 8 and p.
If the product of p*q*r is an irrational number, and p is a rational number,
which of the following statement can be said about g andr
Only a can be irrational
Both q and must be irrational
Both qand may be irrational
may beration
Answer:
only q or r can be irrational
Step-by-step explanation:
Rational numbers are numbers that can be expressed in the form a/b, where both a and b are integers and b ≠ 0. The decimal representation of an rational numbers either repeats the sequence of digits over again or terminates at a finite number.
Irrational numbers are numbers that are not rational. The decimal representation of an irrational number does not repeat a sequence of digits over again and never terminates. e.g √2, π.
The product of two irrational numbers is a rational number, the product of two rational numbers is a rational number while the product of a rational and irrational number is an irrational number. Hence since in p*q*r is an irrational number and p is a rational number, If both q and r are irrational then:
q*r = irrational * irrational = rational
p*(q*r) = rational * rational = rational. Since the result is not an irrational number then both q and r cannot be irrational.
But, If either q and r are irrational then:
q*r = irrational * rational = rational * irrational = irrational
p*(q*r) = rational * irrational = irrational. Since the result is an irrational number then only q or r can be irrational
Answer:
1) Both q and r may be rational
2) r may be rational if q is irrational
Step-by-step explanation:
I did the quiz and got it right. Also I watched the video twice. You got this!!!!
Two hikers are 22 miles apart and walking toward each other. They meet in 5 hours. Find the rate of each hiker if one hiker walks 2.2 mph faster than the other
Answer:
The hikers A and B travel at rates of 1.1 miles per hour and 3.3 miles per hour, respectively.
Step-by-step explanation:
Let suppose that each hiker travels at constant speed, such that kinematic formulas are, respectively:
Hiker A
[tex]x_{A} = x_{A,o}+v_{A}\cdot t[/tex]
Hiker B
[tex]x_{B} = x_{B,o} +v_{B}\cdot t[/tex]
Relationship
[tex]v_{A} =- v_{B}-2.2\,mph[/tex] (They walk toward each other)
Where:
[tex]x_{A,o}[/tex], [tex]x_{A}[/tex] - Initial and final position of the hiker A, measured in miles.
[tex]x_{B,o}[/tex], [tex]x_{B}[/tex] - Initial and final position of the hiker B, measured in miles.
[tex]t[/tex] - Time, measured in hours.
[tex]v_{A}[/tex], [tex]v_{B}[/tex] - Velocities of hikers A and B, measured in miles per hour.
Given that [tex]x_{A,o} = 0\,mi[/tex], [tex]x_{B,o} = 22\,mi[/tex], [tex]x_{A} = x_{B}[/tex] and [tex]t = 5\,h[/tex], the system of equation is reduced to the following:
[tex]0\,mi -(v_{B}+2.2\,mph)\cdot (5\,h) = 22\,mi+v_{B}\cdot (5\,h)[/tex]
[tex]-5\cdot v_{B}-11 = 22+5\cdot v_{B}[/tex]
[tex]10\cdot v_{B} = -33[/tex]
[tex]v_{B} = -3.3\,mph[/tex]
Now, the velocity of the hiker A is:
[tex]v_{A} = - (-3.3\,mph)-2.2\,mph[/tex]
[tex]v_{A} = 1.1\,mph[/tex]
The hikers A and B travel at rates of 1.1 miles per hour and 3.3 miles per hour, respectively.
Determine whether the sequence is arithmetic, geometric or neither. Then, write a recursive rule and an explicit rule, if possible 0.25, 1.75, 3.75, 5.75, 7.75, …
Answer:
Ok, here we have the sequence:
0.25, 1.75, 3.75, 5.75, 7.75, …
First let's define the two most common types of sequences:
Arithmetic: The difference between any two consecutive terms of the sequence is always the same.
Geometric: In this case, the terms are created by multiplicating the previous term by a constant number (and this is for all the terms in the sequence).
Now let's try to see if this is arithmetic, to do it, we select different sets of two consecutive terms and see their difference, if all the differences are the same, then this is an arithmetic sequence:
1.75 - 0.25 = 1.5
3.75 - 1.75 = 2
5.75 - 3.75 = 2
So for the first two terms, the difference is 1.5 and for all the next ones, the difference is 2, then it is not an arithmetic sequence.
(it would be if the first term was -0.25 instead of 0.25).
Now let's try with geometric.
To see if the series is geometric, we should see the quotient of consecutive pairs of numbers, if this quotient is the same for all of them, then this is a geometric sequence:
1.75/0.25 = 7
3.75/1.75 = 2.14
Well, we can see that the quotients are different, then this can not be a geometric sequence.
Then the answer will be neither.
If we want to write a recursive rule will be like an arithmetic sequence, but with the first two terms specified as:
a₀ = 0.25
a₁ = 1.75
aₙ = aₙ₋₁ + 2 for n = 2, 3, 4, .......
Please put the answers for this worksheet in your answer! Thanks so much. Answers: 16-22. Picture Below
16. 18/8/25 = 458/25 = 18.32
17. No because it cannot be written as ratio of two numbers
18. 3/3/11 + 3.27 = 36/11 + 35.97/11
= 6/5/11
19. ( not able to answer)
20. Diameter of pizza. = 10.333333
Length of the pizza box = 10.38
10.38 > 10.33333
Therefore, the pizza box is big enough to fit the pizza inside
21. 110/147/168 = 110/49/56
22. 4/5 = 0.8
5/6 = 0.8333333..................
Therefore, the second and the fifth might be correct.
If y varies directly with x and y = 26 when x = 8, write the equation that represents this direct
variation relationship,
Step-by-step explanation:
General equation for directly proportional variables: y = kx, where k is a real constant
When x = 8, y = 26.
Hence y = 26/8 x or y = 13/4 x.
The equation will be ; y = [tex]\frac{26}{8}[/tex] × x .
It is given that y varies directly with x and y = 26 when x = 8.
We have to find out an equation that represents this relationship.
What will be the 8 times of a number x ?
The number will 8 x.
The direct variation relationship equation will be ;
y = k × x
where ; k = a constant
Given ;
at x = 8 ; y = 26
so the value of k = 26 / 8
and the required equation will be ;
y = ([tex]\frac{26}{8}[/tex]) × x
Thus , the equation will be ; y = [tex]\frac{26}{8}[/tex] × x .
To learn more about algebraic expressions click here ;
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Solve the inequality $-4(x + 4) > x + 7.$ Give your answer as an interval.
Answer:
[tex](-\infty,-4.6)[/tex]
Step-by-step explanation:
So we have the inequality:
[tex]-4(x+4)>x+7[/tex]
First, let's distribute the left:
[tex]-4x-16>x+7[/tex]
Now, let's add 16 to both sides:
[tex]-4x>x+23[/tex]
Subtract x from both sides:
[tex]-5x>23[/tex]
Divide both sides by -5. Since we're dividing by a negative, flip the sign:
[tex]x<-4.6[/tex]
This is saying all values less than -4.6.
In other words, in an interval, this would be from negative infinity all the way up to -4.6. Thus:
[tex](-\infty,-4.6)[/tex]
We do not use brackets because we do not include -4.6 into our set.
And we're done!
Math questions please! I need them now. As much as u can
Answer:
The first one
Step-by-step explanation:
It is the first one as it is just the original expanded.
It isn't the third on because the second bracket is technically - 1x-6 so it is positive.
2xa=-2a
2x-3=-6 etc.
Hope this helped!
If R1 and R2 be the resistance of the filament of 40 W and 60 W
respectively operating 220 V, then
R1
R2
R1 = R2
R1 R2
Answer:
R2 > R1
Step-by-step explanation:
Here in this question, we want to select which of the relations best gives the answer.
Mathematically;
Power = Voltage * current
But current = voltage/resistance
Power = voltage * voltage/resistance
P = V^2/R
For 40 W
40 = (220)^2 * R1
R1 = 40/(220)^2
For 60 W
60 = (220)^2 * R2
R2 = 60/(220)^2
Mathematically, since we have the same denominator (220)^2 but with 60 greater than 40, that automatically translates to the fact that the value of R2 is greater than the value of R1( You can finish evaluating each of the expressions using a calculator).
Simplify 4a – 7b + 2ab – a + b.
Answer:
3a-6b+2ab
Step-by-step explanation:
The reciprocal of a number is added to three.The result is the quotient of 25 and the number. Find the number
Answer:
8
Step-by-step explanation:
Let x represent the number. Then the reciprocal is 1/x. The quotient of 25 and the number is 25/x. The problem statement tells us ...
3 + 1/x = 25/x
Subtracting 1/x, we have ...
3 = 24/x
x = 24/3 = 8 . . . . . . . . multiply by x/3
The number is 8.
Dylan is 15, which is 3 years older than twice his sister Savannah’s age. How old is savannah
Answer:
Savannah's age = 6 years
Step-by-step explanation:
Let
Savannah's age = x
Dylan's age = 15
Dylan is 15, which is 3 years older than twice his sister Savannah’s age
Dylan = 2x + 3
Find Savannah's age
2x + 3 = 15
Subtract 3 from both sides
2x + 3 - 3 = 15 - 3
2x = 12
Divide both sides by 2
2x / 2 = 12 / 2
x = 6
Therefore,
Savannah's age = x
= 6 years
Dylan's age = 2x +3
= 2*6 + 3
= 12 + 3
= 15 years
Convert 21.7 kilometers to centimeters.
Step-by-step explanation:
Notice that 1km = 1000m = 100000cm.
Therefore 21.7km = 2170000cm.
Answer:
2170000 cm
Step-by-step explanation:
21.7 k/m × 10³ × 10²
Joshua is keeping a record of the temperatures this week in December. The temperatures this week are shown below. What is the difference between the coldest temperature and warmest temperature that Joshua recorded
Answer:
Find the highest (8.9°C) temperature and subtract it by the lowest (-13.4°C)
8.9°C - (-13.4°C) = 22.3
The difference in temperature on the coldest and warmest day is 22.3°C
Dinosaurs became extinct hundreds of millions of years ago. Scientists have been trying to determine the cause of the extinction. There have been many different claims about how dinosaurs disappeared.
Which best explains why there could be more than one claim about the disappearance of the dinosaurs?
All the claims can be validated through experimentation.
Data results can be interpreted in different ways.
Political groups have influence on what scientists say.
The different scientists are not experts in the field.
Answer:data results can be interpreted in different ways
Step-by-step explanation:
Answer:
C-Data results can be interpreted in different ways
Step-by-step explanation:
Edg. 2020
here's proof
6x + y = 4x + 11y
Write a formula for h(x) in terms of x.
h(x)=
Answer:
h(x) = 10y/2
Step-by-step explanation:
6x + y = 4x + 11y
6x - 4x = 11y - y
2x = 10y
divide both side by 2
x = 10y/2
h(x) = 10y/2
Every day, Kylie's orange juice stand uses 1/2 of a bag of oranges. How many days will
4 1/2 bags of oranges last?
Write your answer as a fraction or as a whole or mixed number.
days
Answer:
9 Days
Step-by-step explanation:
1/2x10=5
1/2x8=4
Logic tells you that 1/2x9=4 1/2
4 1/2 divided by 9= 1/2
So this answer is reasonable!!!
Please mark me brainlist!!! UwU
Maya has 120 cupcakes to sell. Each cupcake is covered with one topping. 1/5 of the cupcakes are covered with peanuts. 1/3 are covered with chocolate chips. 36 are covered with coconut. The rest are covered with sprinkles. How many cupcakes are covered with sprinkles?
Answer:
There are 20 cupcakes covered with sprinkles.
Step-by-step explanation:
To find the amount of cupcakes that are covered with sprinkles you would have to subtract the amount of cupcakes covered with peanuts, the ones covered with chocolate chips and the ones covered with coconut from the total amount of cupcakes:
Total amount of cupcakes=120
cupcakes covered with peanuts=1/5*120=24
cupcakes covered with chocolate chips=1/3*120=40
cupcakes covered with coconut=36
Now, you can subtract the different cupcakes from the total amount to find the quantity left that would be the ones covered with sprinkles:
cupcakes covered with sprinkles=120-24-40-36
cupcakes covered with sprinkles=20
According to this, the answer is that there are 20 cupcakes covered with sprinkles.
I need help solving this!!
Answer:
addition
Step-by-step explanation:
32(d/2 - 5) = 224
divide both side by 32
d/2 - 5 = 224/32
d/4 - 5 = 7
multiply both sides by 4
d - 20 = 28
lastly, add 20 to both sides
d = 28 + 20
d = 48
therefore, the last step is addition
Picture above
Question above
Answer:
you will pay 274.75 at month 5 for both companies
company A: 42.95x+60.00
company B. 49.95x+25.00
Step-by-step explanation:
Answer:
after 5 months
Step-by-step explanation:
cost of company A =42.95 x +60 ( x for month)
cost of company B= 49.95 x +25
42.95 x +60=49.95 x+25
42.95x-49.95x=25-60
7x=35
x=35/7= 5 months
In five month the companies will pay the same total amount for each internetcheck :
company A: 42.95(5)+60=274.75
company B : 49.95(5)+25=274.75