Answer:
3x 3-x and 3+x
The perimeter of a rectangle is 18.6 km, and its area is 14.6 km“.
Find its length and width.
Answer:
2 and 7.3
Step-by-step explanation:
[tex]P=2x+2y=18.6[/tex]
[tex]2x=18.6-2y\\x=9.3-y[/tex]
We'll replace x with (9.3-y)
[tex]A=x\cdot y=14.6\\(9.3-y)\cdot y=14.6\\-y^2+9.3y=14.6\\ \\y^2-9.3+14.6=0[/tex]
Now we solve this equation by sum and product:
[tex]S=9.3\\P=14.6\\y=2\ or \ y=7.3[/tex]
Replacing back in the Perimeter equation:
[tex]2x+2y=18.6[/tex]
if y=7.3
[tex]2x+2\cdot7.3=18.6\\2x+14.6=18.6\\2x=4\\x=2[/tex]
if y=2
[tex]2x+2\cdot2=18.6\\2x+4=18.6\\2x=14.6\\x=7.3[/tex]
So, the dimensions are 2 and 7.3 km
Please help me!!!! I will try to give brainliest!!!
Marcus is buying 10 gift bags for his birthday party. He will choose items to put in the bags and then pay an additional charge of $0.75 for the actual bag. Marcus cannot spend more than $50. Write and solve an inequality to find the most Marcus can spend on the items for each bag.
Starting inequality:
Ending inequality:
Answers:
Starting inequality: [tex]10(x+0.75) \le 50[/tex]
Ending inequality: [tex]x \le 4.25[/tex]
==================================================
Work Shown:
x = amount spent per bag, ignoring the bag fee
x+0.75 = amount per bag including bag fee
10(x+0.75) = total amount spent on the ten bags
This amount cannot be more than $50. This means 50 dollars is the highest we can go, aka the ceiling value.
That means we'd write [tex]10(x+0.75) \le 50[/tex] as one possible starting inequality.
Let's solve for x
[tex]10(x+0.75) \le 50\\\\10x+7.5 \le 50\\\\10x \le 50-7.5\\\\10x \le 42.5\\\\x \le 42.5/10\\\\x \le 4.25[/tex]
The most he can spend on the items for any single bag is $4.25, which is ignoring the $0.75 fee
If we tack that fee on, then he spends 4.25+0.75 = 5 dollars per bag and ten of such bags leads to 5*10 = 50 dollars total. The answer is confirmed.
10. Find three consecutive even integers such that the product of the first and the second is 92 more
than twice the third integer.
Answer:
10, 12, 14 or -10, -8, -6
Step-by-step explanation:
We can let x represent the middle integer. Then the smaller one is x-2 and the larger one is x+2. The given relation is ...
(x-2)(x) = 92 +2(x+2)
x^2 -2x = 92 +2x +4 . . . eliminate parentheses
x^2 -4x = 96 . . . . . . . . . subtract 2x
x^2 -4x +4 = 100 . . . . . . add 4 to complete the square
(x -2) = ±√100 = ±10 . . . take the square root
x = 2 ± 10 = -8 or +12 . . . . add 2
The three integers might be ...
-10, -8, -6 or 10, 12, 14
Which of the following is the figure most likely the graph of?
A) f(x) = (2/3)x
B)f(x) = –2x
C)f(x) = (3/2)x
D)f(x) = 2x
The accurate line represented by line b because during such experiment ( osmosis or mass transfer) there would be a time where the system be in equilibrium meaning that that the net movement will be zero. In line B at time starting 15 min equilibrium is reached no further movement is attained beyond it.
Which inequality does the graph represent?
Answer:
x < -y + 1
Step-by-step explanation:
Ms. jones is 50bls over weight. she decided to follow a diet to lose 50% of her excess weight by the first month, 20% by the end of second month and 25% more by the end of third month. how much of excess weight does she still has by the end of the third month
Answer:
5%
Step-by-step explanation:
You sum the lost excess weight: 50% + 20% + 25% = 95%. Meaning that she lost 95% of the excess weight. It remained just 5% to lose.
find the equation of a circle concentric with the circle x^2+y^2-2x-10y+1=0 passing through the point (2,-3)
Answer:
Step-by-step explanation:
x²+y²-2x-10y+1=0
compare with x²+y²+2gx+2fy+c=0
center is (-g,-f)
radius=√(g²+f²-c)
2g=-2
g=-1
2f=-10
f=-5
radius=(1,5)
c=1
let eq. of circle be x²+y²-2x-10y+c=0
∵ it passes through (2,-3)
2²+(-3)²-2(2)-10(-3)+c=0
4+9-4+30+c=0
c=-39
eq. of circle is is x²+y²-2x-10y-39=0
When using a ruler, where is the unit?
- The tick marks on the ruler.
- The space between the tick marks on the ruler.
-The numbers on the ruler.
Answer:
Is it The numbers on the ruler?
Step-by-step explanation:
Help help help help help
Answer:
x=18
Step-by-step explanation:
x - 3 = 15
+3
x=18
Write down three integers, all less than 25, whose
• range is 10, and
• mean is 13.
The three integers are
Answer: 9 11 19
Step-by-step explanation
9 11 19
Answer:
18 and 8
Step-by-step explanation:
Range= 18-8
Mean=(18+8)/2=13
Solve for x.
9x + 1 = 7x - 8x + 4
Therefore, the answer is 3/10.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Answer:
9x + 1 = 7x - 8x + 4
9x + 1 = -x + 4
9x + 1 - 1 = -x + 4 - 1
9x = -x + 3
9x + x = -x + 3 + x
10x = 3
x = 3/10
Apollo110The product of two irrational numbers is
______ rational
Answer:
The product of two irrational numbers will not be irrational.
Step-by-step explanation:
Answer:
The product of two irrational numbers will not be irrational.
Step-by-step explanation:
Need help pls! Answer asap
Answer:
1. 50
2. 130
Step-by-step explanation:
If we number the angle opposite 2 as 3 we know that angle 3 is equal to the 130 already provided.
Therefore, resulting in number 2 being equal to angle 3.
If we know that angle 2 and 3 is 130, we should add the numbers together to get 260.
A circle has a degree of 360, so we minus 260 from the 360.
We would get 100, so we divide it by 2.
Thus, angle 1 would be equivalent to 50.
Hope this makes sense :)
I hate to ask for help but I know that’s what you guys are here for. I’ve been stuck on this sample work for over 2 weeks simply cause I don’t understand it. Can any of you tell me the answers or help with it?
Answer:
Step-by-step explanation:
I am not sure what the first question is asking but yes y does very direction with x.
Lemme know if i can help with anything else
:)
Help help math math math
Answer:
10000
Step-by-step explanation:
you have four digits and each one of them can be 0-9, so 10 possibilities for each digit
10×10×10×10= 10,000
Answer:
160
Step-by-step explanation:
I believe the answer is 160 because it is a four-digit passcode, and 10 different numbers can be used ( 10 * 4 = 40, and 40 * 4 = 160).
IF CAR A TRAVELS AT 45 MI/HR CAR B LEAVES 15 MINUTES LATER TRAVELING AT 60 MI/HR WHEN WILL B CATCH UP TO A
Sam is building a fence around his circular garden with a diameter of 8 ft. How long is the fence?
Answer:
25.13ft
Step-by-step explanation:
The length of the fence will be the circumference.
[tex]C=2*pi*r=2*pi*8/2=8pi=25.13ft[/tex]
It was in -5 degrees Celsius Copenhagen and -10 degrees Celsius in Oslo. Which city was
colder?
Answer:
Oslo
Step-by-step explanation:
The farther the number from zero at the right hand side, the colder.
So its Oslo
I hope this helps!
I need help solving this problem
Show that the equation y + 2 = 2(2x + 1) is linear and that it represents a proportional relationship between x and y.
what is 2*38 i need help
Answer:
76
Step-by-step explanation:
38 multiplied by 2 = 76
Answer:
76
Step-by-step explanation:
2*38 is as follows
8*2=16
2*30=60
now simply put, 16+60=76
❗NEED HELP ASAP PLEASE ❗
The value of -3 xy, for x= 2 and y= 3, is -18.
True False
Please give an explanation, thank you!!!
Answer:
True
Step-by-step explanation:
-3 xy = -18
-3(2)(3) = -18
Which of the following decimals is equal to 3 1/40
?
please explain why
3.0025
3.025
3.0250
Answer:
3.025
Step-by-step explanation:
the answer is 3.025 because 1/40 simplified is 0.025 and add the 3 to get 3.025
Answer: 3.0250
Step-by-step explanation: To convert this mixed number (fraction) to a decimal just follow these two steps:
Step 1: divide numerator (1) by the denominator (40): 1 ÷ 40 = 0.025
Step 2: add this value to the the integer part: 3 + 0.025 = 3.025. So,
3 1/40 = 3.025
A landscaping company charges customers for lawn care based on the area of their yards. Mr. Jones was charged $52 for his yard, which is 40 feet by 65 feet.
If a neighbor’s yard is 50 feet by 80 feet, what would the neighbor be charged based on how much Mr. Jones was charged?
A
$60
B
$80
C
$100
D
$120
Step-by-step explanation:
40×65=2600
2600/ 52=50
50×80=4000
4000/50=80
What is f(3) for the function f(x) = 5x + 7?
At Buffalo Wild Wings, you order a meal that costs $15.86. You leave an 18% tip (on the pre-tax amount).
The sales tax is 8%. What is the total cost of the meal?
Answer:
round to cent 20.59
Step-by-step explanation:
3. Find to the nearest thousandth: log7 80
Answer:
I believe 1000
Step-by-step explanation:
find the perimeter of rectangle whose length is 5m 20 cm and breadth 3.5m
Answer:
17.4 sq.mStep-by-step explanation:
Given,
Length of the rectangle = 5m 20cm = 5.2m
Breadth of the rectangle = 3.5m
Therefore,
Perimeter of the rectangle
= 2(Length + Breadth)
= 2(5.2m + 3.5m)
= 2 × 8.7m
= 17.4m
Hence,
Area of the given rectangle is 17.4 sq.m (Ans)
Help help math math math
Answer:
pushin p
Step-by-step explanation:
pushin p
A 4-card hand is dealt from a standard 52-card deck, and then one of the 4 cards is chosen at random. If only two of the cards in the hand are hearts, what is the probability that the chosen card is a heart?
Explanation:
There are two hearts out of four cards in this particular hand. The probability of picking a heart card is 2/4 = 1/2
In other words, we have a 50% chance of getting a heart. The prior stuff dealing with the 52 card deck is just extra unneeded info.