Answer:
45 cm
Step-by-step explanation:
Let length of the field in the drawing = x
80 : 120 :: 30 : x
Product of extreme = Product of means
80 * x = 120 * 30
[tex]x = \frac{120*30}{80}\\\\x = 15 * 3\\x = 45[/tex]
Renae has been playing Tower of Hanoi and has noticed that the minimum number of moves it takes to defeat the game is related to the number of disks she must move. She has recorded her observations below. Write an equation that describes this pattern. Show your work.
Number of Disks in the Tower ║Minimum Number of Moves
1 ║1
2║ 3
3 ║7
4 ║15
5 ║31
Answer:
[tex]y = 2^x - 1[/tex]
Step-by-step explanation:
Let the number of disks be x and the minimum number of moves be y.
[tex]y = 2^x - 1[/tex]
When x = 1: y = 1
[tex]y = 1 = 2 - 1 = 2^1 - 1[/tex]
When x = 2: y = 3
[tex]y = 3 = 4 - 1 = 2^2 - 1[/tex]
When x = 3: y = 7
[tex]y = 7 = 8 - 1 = 2^3 - 1[/tex]
When x=4: y = 15
[tex]y = 15 = 16 - 1 = 2^4 - 1[/tex]
When x = 5: y = 31
[tex]y = 31 = 32 - 1 = 2^5 - 1[/tex]
Notice that for each derived expression of y, the exponent of 2 is being replaced by the value of x.
The general equation is: [tex]y = 2^x - 1[/tex]
A rental car company charges $55.98 per day to rent a car and $0.14 for every
mile driven. Joseph wants to rent a car, knowing that:
• He plans to drive 375 miles.
• He has at most $300 to spend.
What is the maximum number of days that Joseph can rent the car while
staying within his budget?
Answer:
4 days
Step-by-step explanation:
0.14 × 375= $52.50
$300-52.50=247.50
247.50 ÷55.98= 4.42122186495
round 4.42122186495 to the nearest whole that won't go over 300 and its 4 at $223.92 and the if you add your 52.50 thats $276.42
True
False
The cube can be dissected into two congruent triangular prisms that each have half the base area of the cube, so the volume of a triangular prism is V = Bh, where B is the
area of its base and h is its height
Answer:
this is true, I think so...
HELP PLEASEEEEEE!!!!!!
Answer:
x > -6
Step-by-step explanation:
Y/0.5=16
Please solve the equation ♀️
Answer:
y=8
Step-by-step explanation:
y/0.5=16
multiply each side by 0.5 and you get y=8
Answer:
y = 8
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
Cancel multiplied terms that are in the denominator
Multiply the numbers
y = 8
Simplify (5x2 + 3x + 4) + (5x2 + 5x − 1).
10x2 + 8x + 5
25x2 + 8x + 3
10x2 + 8x + 3
10x2 + 8x − 3
first step to remove brackets
here write them in serial order,
=5x²+3x+4+5x²+5x-1
=5x²+5x²+3x+5x+4-1
=10x²+8x-3
Answer:
If I'm not mistaken your answer should be the third option: 10x2 + 8x + 3
please tell me if im wrong
Step-by-step explanation:
Please help I will give you BRAINLIEST for the correct answer
Answer: G is one B is one and F is one
Step-by-step explanation:
Answer:
15.27 10.18
you have toadd them till you get the stuff
Step-by-step explanation:
make sure you x it to
What’s the answer???
The distance between point Q and point P is 6!
! units. Which number could represent point
Q
Answer:
zero
Step-by-step explanation:
Which value makes the following inequality TRUE? 4 − 8 x > 2
A. 0
B. 1/4
C. 1/2
D. 1
Answer:
the answer is A. 0
Step-by-step explanation: if you plug in every answer the only one that ends up being true is 0.
please i need help with this asap!!! I will give brainliest!!! please and thank you!!
Answer:
The y-intercept is 2 and the slope is 1/2. So the equation is y = 1/2x + 2
Step-by-step explanation:
The y-intercept is where the line starts on the y-axis. For the slope to the next point on the line you have to move 2 units to the right and 1 unit up. When writing the slope as a fraction, you always put how far you move up or down above how far you move to the right or left.
if socks cost $8.97 for 3 pairs how much does one pair cost?
Answer:
7
Step-by-step explanation:
Answer:
$2.99
Step-by-step explanation:
$8.97/3 = 2.99
$8.97 divided by 3 equals $2.99
Good Luck!
factor the polynomial
Answer:
Step-by-step explanation:
[tex]6a^2-13ab-5b^2\\ \\ 6a^2+2ab-15ab-5b^2\\ \\ 2a(3a+b)-5b(3a+b)\\ \\ (2a-5b)(3a+b)[/tex]
The coordinates of L and M are (3, 6) and (9, 8) respectively. X is the mid-point of LM, determine the coordinate of the point X. *
Do the ratios 7/18 and 1/3 form a proportion?
Answer:
no, it does not format a proportion, they are not equal
$60,000 is invested for 2 years at a simple interest rate of 5%. how much does the investment earn?
Answer:
6,000
Step-by-step explanation:
It's correct trust me
please help me with this problem, i'd appreciate it sm and thank u for taking the time out of your day to help me and others. :)
Answer:
7. Each sweatshirt is $60
8. Table is 3,60 and 5, 100 and 8,160 and 9,180 and 12,240
9. You would graph table by plotting the x,y coordinates of each point on a graph and connecting the dots to show linear relationship
Step-by-step explanation:
help me please please please please please
Answer:
he need 5.7 inches to tie the boat to the dock
Answer:
5.7 inches of ropes to tie his boat to a dock
15. Geoff can mow an entire lawn of 450 square feet in 30 minutes. Assuming he mows at a constant rate, write the linear equation that represents the situation
Answer:
y=15x
Assuming he is mowing at a constant rate it would be 15 square feet per minute.
Step-by-step explanation:
Guys please help me, I’ve been stuck on this question for a bit. I will mark you brainliest (:
Answer:
The slope is 3
Step-by-step explanation:
m = rise/run
Imma use points (4,1) and (5,4)
rise = 3
run = 1
3/1
m = 3
plz mark as brainliest if correct!
8 + 3 + 2a = -1 + 3a + 4
Answer:
a = 8
Step-by-step explanation:
8 + 3 + 1 - 4 = 3a - 2a
8 = a
a = 8
I hope this helps a little bit.
Which of the following can be used for the line that a shape is to be reflected over?
Answer:
i don't know i need help with this one too
Step-by-step explanation:
please help with maths!
Answer:
AC = 12.6m
Step-by-step explanation:
Formula :
[tex] \frac{a}{ \sin(a) } + \frac{b}{ \sin(b) } [/tex]
Working out shown in image above.
How many pounds are in 9 gallons?
Answer: 75.108
Step-by-step explanation:
1 gallon is 8.3454 lb so multiply by 9 to get the answer
8.345*9= 75.105 lbs
So there are 75 lbs in 9 gallons
Write the equation of the line that passes through the points (4, -8) and (-8, 1).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y = -3/4x -5
Step-by-step explanation:
(4, -8) and (-8, 1)
m = (y2-y1)/(x2-x1)
m= (1+8)/(-8-4)
m = (9)/(-12)
m = -3/4
y - y1 = m(x-x1)
y + 8 = -3/4(x -4)
y + 8 = -3/4x + 3
y = -3/4x -5
Answer:
y = -3/4x - 5
Step-by-step explanation:
Hope this helps!
If 8 students want to share 62 gallons of water for a water balloon fight,
how many gallons of water should each student get?
Answer:
Each student should get 7:75 gallons of water
Step-by-step explanation:
Do 62 divided by 8
Someone please help and please make sure the answer is right
Answer:
x=8
Step-by-step explanation:
Geenas hair grew 1 and 1/8 in 3 months
i need help with this question asap!!I will give brainliest!!!please and thank you
Answer:
Step-by-step explanation:
(4,6) and (20,14) are points on the line.
slope of line = (14-6)/(20-4) = 8/16= 1/2
point-slope equation for line of slope 1/2 that passes through (6,4):
y-4 = (½)(x-6)
in slope-intercept form:
y = ½x + 1
y-intercept = 1
the volume of a box is 400 cubic meters. The width of the box is two meters and it's length is 10 more than its height, find the length and height of the box. please help asap!
Answer:
Step-by-step explanation:26