Answer:
133%
Step-by-step explanation:
24 of 18 can be reduced by 6 in which is also known as 4 of 3. 4/3 is equivalent to 133%
Bananas cost 3abunchandapplescost0.50 each. If b represents the number of bunches of bananas and a represents the number of apples, which of the following expressions represents the total cost?
Considering the definition of an equation, the total cost is 0.50a + 3b.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.
Total costBeing
"a" the number of apples."b" the number of bunches of bananas.and knowing that:
Bananas cost $3 a bunch.Apples cost $0.50 each.the equation that represents the total cost is:
total cost= 0.50a + 3b
Finally, the total cost is 0.50a + 3b.
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Which expression represents the number of hours in w weeks and d days?
A. 7W + 12d
B. 84W + 24d
C. 168W + 24d
D. 168W + 60d
The expression represents the number of hours in w weeks and d days is 168 W + 24 d.
The correct option is (C).
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
We know the number days in a week = 7
and, the number of hour in a day = 24
So, number of hour in a week = 24 x 7 = 168
Then, the expression number of hours
= 168 W + 24 d
where W is the weeks and d is days.
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Which expression is equivalent to (StartRoot 3 EndRoot + i) cubed? URGENT!!!!!!!!!! WILL GIVE BRAINLIEST
Answer:
third option
Step-by-step explanation:
Using De Moivre's theorem
([tex]\sqrt{3}[/tex] + i)³ , then
| [tex]\sqrt{3}[/tex] + i |
= [tex]\sqrt{(\sqrt{3})^2+1^2 }[/tex]
= [tex]\sqrt{3+1}[/tex] = [tex]\sqrt{4}[/tex] = 2
arg([tex]\sqrt{3}[/tex] + i) = [tex]tan^{-1}[/tex]( [tex]\frac{1}{\sqrt{3} }[/tex] ) = [tex]\frac{\pi }{6}[/tex]
Thus
([tex]\sqrt{3}[/tex] + i)³
= 2³ [ cos(3 ×[tex]\frac{\pi }{6}[/tex] ) + isin( 3 × [tex]\frac{\pi }{6}[/tex] ) ]
= 8 [ cos([tex]\frac{\pi }{2}[/tex]) + isin([tex]\frac{\pi }{2}[/tex] ) ]
Answer:
C
Step-by-step explanation:
A person borrowef Rs 16000 from a bank at 12.5% pet annum simple intrest and lent the whole amount to shopkeeper at the sam rate of compound interest.How much will he gain in 2 years?
Answer:
The amount he gains in 2 years is Rs. 250
Step-by-step explanation:
The parameters of the amount borrowed from the bank are;
The amount borrowed, P = Rs. 16,000
The interest rate of the amount borrowed, R = 12.5%
The number of years, T = 2 years
The simple interest, I = (P × R × T)/100 = (Rs. 16,000 × 12.5 × 2)/100 = Rs. 4,000
The total amount the person is to pay bank to the bank = P + I = Rs. 16,000 + Rs. 4,000 = Rs. 20,000
The parameters of the amount lent to the shopkeeper are;
The amount lent, P = Rs. 16,000
The compound interest rate of the amount lent, R = 12.5%
The number of years, T = 2 years
The amount he receives from the shopkeeper after 2 years, A = P·(1 + R/n)^(n × T) = Rs. 16,000 × (1 + 0.125/1)^(1 × 2) = Rs. 20,250
The amount he gains in 2 years = The amount he receives from the shop keeper - The amount he gives to the bank = Rs. 20,250 - Rs. 20,000 = Rs. 250
The amount he gains in 2 years = Rs. 250.
How many solutions does the nonlinear system of equations graphed below have?
A. Two B. One C. Four D. Zero
I think 4 but I'm not sure
Answer: 4
Step-by-step explanation: just did it myself
which is greater -5/10 or -3 / -4
Answer: -5/10, But that can be simplified to -1/2
The varlables x and y vary Inversely. Use the given values to wrke an equation relating X and y
Put each line into slope-intercept form:
1. 2x + 4y = 8
2. 2y = 2x + 4
( Can someone help me )
Answer:
Step-by-step explanation:
Hh
what is the distance between -3 and 2 on the number line
The length of a rectangular swimming pool is 20 feet greater than the width. The surface area of the pool is 1,500 square feet. What are the length and width of the pool?
Answer:
750
Step-by-step explanation:
The length and width of the swimming pool is 50feet and 30 feet respectively.
What is surface area ?The amount of space covering the outside of a three dimensional space is called surface area.
Formula for the surface area of rectangular swimming poolsurface area = length × breadth
According to the given question
The length of the rectangular swimming pool is 20 feet greater than the width.
and, the surface area of the pool is 1,500 square feet.
Let the width of the rectangular pool be x.
⇒ length of the pool = 20+x
therefore,
surface area of pool = length × breadth
⇒1500 = x×(20+x)
⇒[tex]1500= 20x+x^{2}[/tex]
⇒[tex]x^{2} +20x-1500=0[/tex]
⇒[tex]x^{2} +50x-30x-1500=0[/tex]
⇒[tex]x(x+50)-30(x+50)=0[/tex]
⇒[tex](x-30)(x+50)=0[/tex]
⇒x=30 and -50(not possible)
⇒x=30 feet
so, the width of the pool is 30 feet.
⇒ length of the pool = x+20 = 30+20 = 50 feet.
Hence, the length of the pool is 50 feet and width of the pool is 30 feet.
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Given f(x) = 4(1 – x), what is the value of f(-10)
Answer:
44
Step-by-step explanation:
The function formula is given as
f(x) = 4(1 – x)
To find the f(-10) we will substitute into the function formula, then we have
f(-10)= 4[1-(-10)]
=4[11]
=44
Hence, the value of f(-10)= 44
OPEN ENDED QUESTION -6(-3)
Answer:
-6(-3)=18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
6 x 3 = 18 bc neg x neg = pos
How do I graph this problem X+2y= -2
What is ratio? I
I will mark Brainiest
Answer:
ratio is line from center to end of the circle
Step-by-step explanation:
Charmaine started a game at 10:44AM and finished at 11:11AM How long did it take her give your answer in minutes
Answer:
Total time taken = 27 min
Step-by-step explanation:
Given:
Started game time = 10:44 AM
Ending game time = 11:11 AM
Find:
Total time taken
Computation:
Total time taken = Ending game time in min - Started game time in min
Total time taken = [11x60 + 11] - [10x60 + 44]
Total time taken = 671 - 644
Total time taken = 27 min
Marsha deposited $5,000 into a savings account 3 years ago. The simple interest rate is 4%. How much money did Marsha earn in interest?
Answer:
Amount of interest = $600
Step-by-step explanation:
Given:
Deposited p = $5,000
Number of year n = 3
Interest rate r = 4% = 0.04
Find:
Amount of interest
Computation:
Amount of interest = P(r)(n)
Amount of interest = 5,000 x 3 x 0.04
Amount of interest = $600
Pls help I’ve repeated the same question over and over.
HELP
Terry leaves his house
riding a bike at 20
km/h. Sally leaves 6 h
later on a scooter to
catch up with him
travelling at 80 km/h.
How long will it take
her to catch up with
him?
Answer:
2
Step-by-step explanation:
So let's call the time she needs to catch up "x", and so Terry's rate would be x-6 since he left home 6 hours earlier. Then we multiply the rates to get 20x - 120 = 80x. The answer is -2, but we can just say 2.
Checking our answer, that means if it took Sally 2 hours, it took Terry 8 hours for he left home 6 hours earlier. So 8 times 20 = 160km traveled. 2 times 80 = 160km traveled. Same distance.
Please Please help me with this
Answer:
i got 5 and 28
Step-by-step explanation:
Which relations are functions?
Select Function or Not a function for each graph.
Can someone help me plz
Answer:
The 1st and 2nd graph are functions while the 3rd and 4th aren't.
Step-by-step explanation:
The first and second graph doesn't have more than one output for each input. The third and fourth graph isn't a function since there's more than one output for the same input given. If you do the vertical line test, then you'll know which one is a function and which one is not a function. Hope this helps :)
I have no clue what to put in all of these boxes help me
i dont think it right i only could do the first one i dint know the last one cuz ...
Question 7 options: A raffle sells 1000 tickets for $35 each to win a new car. What is the probability of winning the car
Answer:
it would be 1/1000 assuming only 1 ticket sold to 1 person each; if a person bought more than 1 ticket then there odds of winning increase
Step-by-step explanation:
The probability of winning the car is 0.001.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Given that, a raffle sells 1000 tickets for $35 each to win a new car.
Here, we know that there is a total of 1000 tickets. If there is only one car, then definitely only one wins the raffle. The probability of winning is also dependent on the number of tickets one will purchase. But for this problem, we are going to assume that only one raffle can be bought by one person. Thus, the probability of winning a new car is simply
P(E)= Number of raffle tickets one can buy/Total number of raffle tickets
= 1/1000
= 0.001
Therefore, the probability of winning the car is 0.001.
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I need help ASAP!!!!!!!!!!!!!!!!!!!!
Answer: 56/33
Step-by-step explanation: Tan= Opposite over Adjacent or O/A
Find how many values of X does f(x)=5? Illustrate on the graph.
Answer:
Step-by-step explanation:
The question is saying "How many x values are there when y = 5?"
The answer is 2.
When x ≈ 1 and when x = ≈ 2
I need it step by step please
Answer: None of the lines are parallel to one another
======================================================
Explanation:
Solve each equation for y
Line a:
4y+x = 8
4y = -x+8
y = (-x+8)/4
y = (-x/4) + (8/4)
y = (-1/4)x + 2
This equation is in the form y = mx+b with slope m = -1/4
---------------
Line b:
2y+x = 4
2y = -x+4
y = (-x+4)/2
y = (-x/2) + (4/2)
y = (-1/2)x + 2
The slope is m = -1/2. It is not parallel to line a because parallel lines must have the same slope (but different y intercept).
-----------------
Line c:
2y = -3x+6
y = (-3x+6)/2
y = (-3x/2) + (6/2)
y = (-3/2)x + 3
The slope here is m = -3/2. it is not parallel to line a, and it is not parallel to line b either for similar reasons discussed above.
-----------------
In summary, none of the three lines are parallel to one another. The graph below visually confirms this. Each pair of lines intersects at exactly one location, showing they cannot be parallel.
Complete each statement given w = 2(cos(90o) + i sin (90o)) and z = StartRoot 2 EndRoot (cos(225o) + i sin(225o)). In rectangular form, w = 0 + i. In rectangular form, z = – 1i. In rectangular form, w + z = –1 + i. In polar form w + z = StartRoot 2 EndRoot (cos(o) + i sin(o)
This question is based on the concept of polar form.Therefore, the expression in polar form is [tex]\bold {z = \sqrt{10(cos108.43\; + \; i \; sin108.43)}}[/tex]
Given the following complex numbers in:
w = 2(cos(90°) + i sin (90°))
As we know that,
sin 90 degree = 1
cos 90 degree = 0
Put these values in given equation,
We get,
w = 2(0+i(1))
w = 2(0)+2i
w = 0+2i
Hence the value of w in rectangular form is 0+2i .
Now solving for z:
z =√2(cos(225°) + i sin(225°))
z = √2(-1/√2+ i (-1/√2))
z = -√2/√2 - √2(-1/√2)i
z = -1 + 1i
Therefore, the value of z in rectangular coordinate is -1+ 1i.
Now solving for w + z:
w + z = 0+2i + (-1+1i)
w+z = 0+2i-1+i
w+z = -1+3i
Write w+z in polar form,
Get the modulus
|w+z| = √(-1)²+3²
|w+z| = √1+9
|w+z| = √10
Get the modulus
= tan^-1(-3)
= -71.56
[tex]\Theta[/tex] = 180 - 71.56
[tex]\Theta[/tex] = 108.43
Therefore, the expression in polar form is,[tex]\bold{z = \sqrt{10(cos108.43\; + \; i \; sin108.43)}}[/tex]
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Answer:
Step-by-step explanation:
A. 1i
B.315
C.315
Hope this helps!
First to answer, gets BRAINLIEST
(5x6)(-8+2)(4÷8)(0)(-.5-3)(-10+2) =
Answer:
0
Step-by-step explanation:
pretty easy tbh
Answer:
0
Step-by-step explanation:
I don't know how to do this Solve the equation.
x3=−8
x=
Answer: -2 2/3 or -8/3
Humans living in highly populated areas are more inclined to _______. a. violence b. socially isolate c. appetite loss d. all of the above
Answer:
Humans living in highly populated areas are more inclined to violence.
Answer:
A. Violence
Step-by-step explanation:
got it right, hope this helps!
Ricardo wants to install two security cameras at point A so the parking lot from side AE to side AB of the building can be monitored. Can he use two cameras, both with a field of view of 110°, installed at point A? Explain. If not, what is the minimum field of view that each camera should have?
Step-by-step explanation:
The two cameras will have total view of:
110° + 110° = 220°The angle to be viewed is:
270° - 15° = 255°This is not sufficient to cover the needed area as 220° < 255°
The cameras should have a minimum view of:
255°/2 = 127.5°