6x<42
Divide 6 by both sides
x<7
Hyun Yong wants to donate more than $5000 in laptops and bicycles. Each laptop that he donates is worth $200, and each bicycle that he donates is worth $100. Write an inequality that represents the number of laptops (L) and bicycles (B) that Hyun Yong should donate to achieve his goal.
Answer:
$200L+$100B ≥$5000
Step-by-step explanation:
Given :
Hyun Yong wants to donate more than $5000 in laptops and bicycles.
Each laptop that he donates is worth $200, and each bicycle that he donates is worth $100.
To Find : An inequality that represents the number of laptops (L) and bicycles (B) that Hyun Yong should donate to achieve his goal.
Solution :
L denotes the number of laptops.
Since cost of each laptop is $200
Thus cost of L laptops = $200L
B denotes the number of bicycles.
Since cost of each bicycle is $100.
Thus cost of B bicycles = $100B
Now, he wants to donate more than $5000 in laptops and bicycles
So, inequality will be : $200L+$100B ≥$5000
Hence, An inequality that represents the number of laptops (L) and bicycles (B) that Hyun Yong should donate to achieve his goal:
$200L+$100B ≥$5000
The local parts shop buys a machine that costs $500,000. Its value depreciates exponentially each year by 10%. what is the machines value after 5 years
Answer:
$250,000
Step-by-step explanation:
5 times 10% is 50%
50% of $500,000 is $250,000
Your answer is $250,00
x=2y+7
x=y+4
with substitution
x = 2y + 7 (*)
x = y + 4 (**)
Substitute (*) to (**):
2y + 7 = y + 4 subtract 7 from both sides
2y = y - 3 subtract y from both sides
y = -3Put the value of y to the second equation:
x = -3 + 4
x = 1Greatest to least .01 1/8 .23 1/5
Answer:
0.23, 1/5, 1/8, 0.01
Step-by-step explanation:
1/8=0.125
1/5=2/10=0.2
0.01
0.125
0.23
0.2
0.0..., 0.1.., 0.2...
0.20 and then 0.23
Answer:
.23 ,1/5 , 1/8 ,.01
Step-by-step explanation:
.I will put them all in decimal form
.01 = .01
1/8 = .125
.23 = .23
1/5 = .2
largest to smallest
.23 >..2 < .125 < .01
Put them back in their original form
.23 >1/5 > 1/8 >.01
.23 ,1/5 , 1/8 ,.01
35/k = 7/3 i need this one done asap too lol
Answer:
k=15
Step-by-step explanation:
Two neon lights are turned on at the same time. One blinks every 4 seconds and the other blinks every 6 seconds. In 60 seconds, how many times will they blink at the same time?
Answer: They have 5 common multiples, so your answer would be 5.
Step-by-step explanation: To find the answer, find the multiples of both 4 and 6 up to 60, then find the common numbers. Count how many common number there are, and that would be your answer (5)
Answer:5
Step-by-step explanation:
Find how many multiples they share until 60
can anyone please solve this...............
Answer:
use photo math its helps alot
Step-by-step explanation:
Answer:
3 raise to 15
Step-by-step explanation:
A basketball player has made 80% of his foul shots during the season. Assuming the shots are independent, find the probability that in tonight's game he does the following. a) Misses for the first time on his fourth fourth attempt b) Makes his first basket on his fourth fourth shot c) Makes his first basket on one of his first 3 shots
a) The probability of missing for the first time on the fourth attempt is 0.16%. b) The probability of making the first basket on the fourth shot is 0.8%. c) The probability of making the first basket on one of the first 3 shots is 99.2%.
Explanation:a) To find the probability that the basketball player misses for the first time on his fourth attempt, we need to consider that each shot is independent. Since he has made 80% of his shots, the probability of making a shot is 0.8. Therefore, the probability of missing a shot is 1 - 0.8 = 0.2. Since the shots are independent, the probability of missing on the fourth attempt is 0.2 raised to the power of 4 = 0.0016, or 0.16%.
b) To find the probability that the basketball player makes his first basket on his fourth shot, we use a similar approach. The probability of making a shot is 0.8, and the probability of missing a shot is 0.2. The probability of making a shot on the fourth attempt is then 0.2 raised to the power of 3, multiplied by 0.8 = 0.2 * 0.2 * 0.2 * 0.8 = 0.008, or 0.8%.
c) To find the probability that the basketball player makes his first basket on one of his first 3 shots, we need to find the complementary probability. The probability of not making a basket on the first 3 shots is 0.2 raised to the power of 3 = 0.008. Therefore, the probability of making a basket on one of the first 3 shots is 1 - 0.008 = 0.992, or 99.2%.
if (x+2) is a factor of h(x) = x^3 + 8x² + Ax + 4 , then valoe of A is:
If [tex]x+2[/tex] is a factor of [tex]h(x)[/tex], then by the polynomial remainder theorem, [tex]h(-2)=0[/tex]. So
[tex]h(-2)=(-2)^3+8(-2)^2+A(-2)+4[/tex]
[tex]-8+32-2A+4=0\implies2A=28\implies A=14[/tex]
4. What is the LCM of 4, 3, 10, and 8? *
80
240
120
30
5. Which statement is true? *
29/35 < 20/30
14/21 > 17/24
18/32 > 16/32
20/15 < 28/23
amina bought an air cooler for a AED 3300 including VAT of 5% find the price of the air cooler before VAT was added
Answer:
3142.86
Step-by-step explanation:
let the original price be 100%
Then the cost with 5% VAT is 105%
Divide the cost by 105 to find 1% and multiply by 100 for original cost
original cost = [tex]\frac{3300}{105}[/tex] × 100 = 3142.86
If we want to be 95% confident of our estimate, does the sample proportion obtained, 20 out of 50, fall within the margin of error developed from the simulation? Why or why not?
20/50 = 2/5 = 0.40 which is found in the dot plot given. Since this value is in the dot plot, this means that it is possible to obtain this value with a random simulation.
Answer: Yes, the sample proportion 20/50 falls within the margin of error.
Answer
20/50 = 2/5 = 0.40
Ok.
solve for x
(3x-6)(-x+3)-0
smaller x=?
larger x=?
Answer:
x=2 and x=3
Step-by-step explanation:
(3x-6)(-x+3)=0
We can use the zero product property to solve for x
3x-6 = 0 and -x+3 =0
3x-6 = 0
Add 6 to each side
3x-6+6 = 6
3x=6
Divide by 3
3x/3 =6/3
x =2
-x+3 =0
Add x to each side
-x+x+3 = +x
3 =x
help. Geometry. Branliest!!
1. Correct. The reflection happens over segment AB and then you translate 6 units to the right and 3 units up. This will move point A to D, B to F, C to E, to have the triangles line up perfectly.
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2. Problem 1 already confirmed the triangles are congruent based on how they line up perfectly. Another way to prove this is to either use the SAS (side angle side) or LL (leg leg) theorem. With SAS, we need a pair of congruent sides and a pair of angles, with the angles between the two sides. The horizontal and vertical sides can be easily measured. The angles between the two sides are 90 degree angles. Because we have right triangles, we can use LL which is really just a special case of SAS.
-----------------------------------------------
3. Segment EF is 5 units. You can use the pythagorean theorem with a = 3 and b = 4 to solve a^2+b^2 = c^2 to get c = 5. Or you can use the fact that BC = 5 is given to us, so EF must also be 5 as well. This is because of the idea that if two triangles are congruent, then their corresponding pieces must be the same as well.
Real world example: imagine having 2 houses that are perfect clones of each other. If this is the case, then surely their front doors would be identical copies as well. In this analogy, a house is a triangle, while the front door is the segment.
which rate describes a unit price? $1.00 for 2 lemons $3.00 for every pound $4.00 for 3 slices of pizza $6.00 for every 6 bottle
Final answer:
A unit price is the price for one unit of an item. Among the options provided, $3.00 for every pound represents a unit price because it tells us the cost per single pound.
Explanation:
The question asks which rate describes a unit price. A unit price is the cost per single item or measure. It is calculated by dividing the total price by the number of units. In the context of the examples provided, a unit price is expressed as a cost for one lemon, one pound, one slice of pizza, or one bottle.
$1.00 for 2 lemons => $0.50 per lemon$3.00 for every pound => $3.00 per pound (this is a unit price)$4.00 for 3 slices of pizza => $1.33 per slice of pizza$6.00 for every 6 bottles => $1.00 per bottleTherefore, out of the provided options, $3.00 for every pound best represents a unit price as it is a rate describing the cost of one pound.
I NEED HELP ASAP WILL MAKE BRAINLIEST!
In May, 2018 a store had a furniture with a listed price of $550, having a sales tax of 3% on the listed price. Next month the price increased by 33 1/3 %. What sales tax should be paid in dollars on the new price?
Answer:
$22
Step-by-step explanation:
Listed price = $550
Sales tax rate = 3%
The price increased by 33 1/3% or [tex]\frac{100}{3}[/tex]% in the next month
Now, Sales tax will be calculated on new price after increase price.
Price increase = \frac{100}{300}*550 = 183.33
New Price = 183.33+550 = 733.33
Since Sales tax =3% on 733.33
= \frac{3}{100}*733.33
= 21.99 =22(aprox)
Sales tax paid in dollars the next month after increase of price = $22
Solve the following equation for b, a=b over 15
Answer:
15a=b
Step-by-step explanation:
so you have a=b/15.. we want b to be on its own.. you have to use inverse operations to get by by itself. so, we need to get rid of the 15.. it is being divided, so therefore multiply both sides by 15..
15a=b
If f(x)=4x-6 and g(x)=√x+2, what is (f°g)(7)
Answer:
[tex]4\sqrt{7} +2[/tex]
Step-by-step explanation:
fog =4[tex]\sqrt{x}[/tex]+8-6
= 4[tex]\sqrt{x}[/tex] +2
fog(7) = 4[tex]\sqrt{7}[/tex]+2
Joseph is x years old. Andrea is 4 years older. Brandon is three times as old as Andrea. If you add together the ages of Joseph, Andrea, and Brandon the total comes to 101 years. How old is each person?
Answer: Joseph is 17 Andrea is 21 Brandon is 63
Step-by-step explanation:
the product of three numbers is -216, but their sum is -18. What are these three numbers?
Answer:
-6, -6, & -6
Step-by-step explanation:
-6(-6)(-6) = -216
-6 + (-6) + (-6) = -18
The regular price of a jacket is $200. Today, the jacket is on sale. It is 20% off its regular price. The sales tax is 8%. If Steven buys the jacket today, how much will he pay?
Answer:
$172.80
Step-by-step explanation:
200*20%=40
200-40=160
160*0.08=12.8
12.8+160=172.80
Answer:
He pays $176
Step-by-step explanation:
First, to find 80% of 200, we can simply multiply 200 by .8.
200 x .8=160
Then, we add sales tax to that number. To find 8% of 200, multiply 200 by .08.
200 x .08=16
Then, add 16 to 160.
160+16= 176
Your answer is $176.
Hope this helps!
3/4 ^2
WRITE IT IS A WHOLE NUMBER
Answer:
No.
Step-by-step explanation:
The whole numbers are 0, 1, 2, 3, ... (3/4)^2 is 9/16, which is not a whole number.
graph g(x) = x3 − x2 − 4x + 4
Answer:
In the attachment!!
Hope this helps!
Nancy is 5 years younger than her brother Stan. Last year she was twice as young as he was. How old is each of them now?
Answer:
Nancy is 6 years old and Stan is 11 years old now.
Step-by-step explanation:
Let the present age of Stan be x.
Then age of Nancy = y
x - y = 5
Last year she was twice as young as he was
Age of Nancy last year = y-1
Age of Stan last year = x-1
2 × (y-1)= x-1
2y -2 = 5 + y -1
y = 6
x = y + 5 = 6 + 5 = 11
Nancy is 6 years old and Stan is 11 years old now.
How is the product related to the first factor?
4/9 × 7/3
The product is less than .4/9
The product is equal to .4/9
The product is greater than .4/9
The product is greater than .7/3
Answer:
5/5 austin
Step-by-step explanation:
I need help on 2,4,6 it will be worth a 10 points
Answer:
2 is 13
4 is 1
6 is 16
Step-by-step explanation:
The depreciating value of a semi-truck can be modeled by y = Ao(0.85)x, where y is the remaining value of the semi, x is the time in years, and it depreciates at 15% per year.
An exponential function comes down from the positive infinity and passes through the points zero comma seventy five thousand. The graph is approaching the x axis.
What is the value of the truck initially, Ao, and how would the graph change if the initial value was only $65,000?
$75,000.
The graph would have a y-intercept at 65,000
Answer:
75,000, and the graph would have a y-intercept of 65,000
Step-by-step explanation:
the person above said its true. good luck on the module 2 test guys!
does the equation 7x-4y=0 represent a direct variation? what is the constant of variation?
Yes, the equation 7x-4y=0 represents a direct variation with the constant of variation being 7/4.
The equation 7x-4y=0 does represent a direct variation. To see this, we can rearrange the equation into the form y = kx, which is the general form for direct variation. Solving for y, we divide both sides by -4 to get:
y = (7/4)x
Here, the coefficient of x, which is 7/4, is the constant of variation. Thus, in the given equation, the constant of variation is 7/4, meaning for every unit increase in x, y increases by 7/4 units. This proportional relationship where y varies directly as x, with a constant ratio of 7/4, confirms it's a direct variation.
Simplify. 2(x + 3y - 3) - (2x + 6y - 7) A) 0 B) 1 C) -3y + 4 D) -6x + 10
Please help, Thanks!
The value of the expression is 1.
Option B is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2(x + 3y - 3) - (2x + 6y - 7)
= 2x + 6y - 6 - 2x - 6y + 7
Combining like terms.
= -6 + 7
= 1
Thus,
The value of the expression is 1.
Learn more about expressions here:
https://brainly.com/question/3118662
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I'm so confused. Please help I tried the first time got 50 some thing then 33 then 20.25. How do I do this?
Answer:
Basically, you have to think: more bricks : more time
more workers : less time
2,400 bricks 6 workers takes 18 hours
You now have to solve for 4,500 blocks and 10 workers
4,500 / 2,400 = 1.875 (times greater)
10 / 6 = 1.666666666 (times less)
So, we get 18 hours, multiply it by 1.875 and divide it by 1.666666666
which equals 20.25 hours
So, it seems you were correct on your third try.
Step-by-step explanation: