Answer:
quotient term: 6
dividend term: 102
Step-by-step explanation:
[tex]\dfrac{782}{17}=\dfrac{680+102}{17}=\dfrac{680}{17}+\dfrac{\boxed{102}}{17}=40 +\boxed{6} = 46[/tex]
If the first 5 terms of an infinite geometric sequence are 100, 60, 36, 21.6, and 12.96, then the sum of all the terms in the sequence is ______
Answer:
Step-by-step explanation:
r=60/100=0.6<1
[tex]S_{\infty} =\frac{a}{1-r} \\=\frac{100}{1-0.6} \\=\frac{100}{0.4} \\=\frac{1000}{4} \\=250[/tex]
a map of a rectangle park has the length of 4inches and a with of 6 inches. It uses a scale of 1 inch every 30 miles. What is the area of the park
Answer:
720 mi²
Step-by-step explanation:
The map has a scale of 1 in: 30 mi, meaning that for every inch you see on the map, in the real-life location, it will measure 30 miles. So we can find the area of the park on the map and then turn it into miles using the scale:
Area of a rectangle:
[tex]A=bh[/tex]
Replace the known values:
[tex]A=(4)(6)\\ A=24[/tex]
The area on the map is 24 mi², we can turn it to miles using the scale by multiplying our result with 30:
[tex]A=(24)(30)\\ A=720[/tex]
And last but not least, don't forget to put the unit!
One hundred voters were asked whether they supported a bill that had
The question is cut off.
The Levine family has 10 gallons of gas in the car. The car uses 1 5/8 of a gallon each hour. How long can they drive on 10 gallons of gas?
Answer:
6.15
Step-by-step explanation:
10 gallons is 80/8
1 5/8= 13/8
80 divided by 13 is 6.15384615385 but rounded 6.15
6.15 hours
if its not that then keep rounding to 6.2 or 6hrs
A ramp is at an angle of elevation of 15°. The distance from the top of the ramp to the ground is 20 feet. What is the length of the ramp? Round to the nearest tenth.
Image attached giving 25 points please help
Answer:
Step-by-step explanation:
Rational number ,because it can be written as 37 which is a ratio
You flip a coin 8 times and get tails 6 times. Based on this experiment, what is the probability of flipping a coin and getting heads?
Answer:
1/4
Step-by-step explanation:
If you get 6 tails, then that means you got 2 heads. 8-6=2.
probability= 2/8=1/4 based on this experiment.
Help please , need answer ASAP
Answer:
(fg)(9) = 948
Step-by-step explanation:
(fg)(9) = f(9)×g(9) = (9 +3)(9^2 -2) = (12)(79)
(fg)(9) = 948
Charlie surveyed his class to determine favorite colors. By examining his results in this chart, which numbered choice represents the fraction of the class that
Color
Number of
Students
red
9
white
4
blue
10
green
8
listed blue as their favorite color.
NEED HELP RN!!! PLS ☹️
Answer:
show the screen clearer !
Step-by-step explanation:
I need Help ASAP
Please
Please!!!
Answer:
3/4
Step-by-step explanation:
What is the value of x + 2x when x=2/3?
Answer:
2
Step-by-step explanation:
2/3+2(2/3)
2/3+2×2/3
2/3+4/3
2+4/3
6/3
=2
PLEASE I NEED FAST CLEAR ANSWERS
Answer:
A, B and C
Step-by-step explanation:
They all can mirror to overlap perfectly with the other side of the shape.
D and E can not
I hope this helps :)
Answer:
A C B
Step-by-step explanation:
those are the right answers i just did it hope it helps
Sami has a bag full of 4900 marbles of three different colors which include blue, green and black in the ratio 16:13:20. Find the number of each colored marbles in her bag.
Answer:
See the calculation below
Step-by-step explanation:
[tex]16 + 13 + 20 = 49[/tex]
[tex]blue = \frac{16}{49} \times 4900 \\ = 1600[/tex]
[tex]green = \frac{13}{49} \times 4900 \\ = 1300[/tex]
[tex]black = \frac{20}{49} \times 4900 \\ = 2000[/tex]
BINGO cards are $2 for 3 cards. How many BINGO cards can joy get for $12
Answer:
18 cards
Step-by-step explanation:
Because..[tex]12 \div 2 = 6 \times 3 = 18[/tex]Adelle starts a savings account with $250. If the interest rate is 3%, find the total amount in the account after 2 years.
Answer:
265
Step-by-step explanation:
A bath tub drained at a constant rate. The table shows the number of gallons of water left in the tub after being drained for two amounts of time
The rate at which the water was drained from the tank is 6 gallons of water per minute (option A)
To know the speed at which the tank was drained, we must carry out the following operations:
Taking into account the information provided by the table we establish how much water has been drained from the tank in 20 minutes.
450 gallons - 330 gallons = 120 gallons.
Subsequently, we must divide the amount of water (120 gallons) that was drained by the time it was drained (20 minutes).
120 gallons ÷ 20 minutes = 6 gallons / minute.
According to the above, we can establish that the bath drain rate is 6 gallons / minute (option A).
Note: This question is incomplete because there is some missing information. Here is the complete information:
What is the rate at which the water was drained from the tank?
6 gallons of water per minute. 11 gallons of water per minute. 45 gallons of water per minute. 120 gallons of water per minute.
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Rewrite the following equation in slope-intercept form. 17x − 4y = 20
Step-by-step explanation:
-4y= -17x+20
4y=17x-20
y= 4.25x-5
Slope intercept form
y=mx+b[tex]\\ \tt\Rrightarrow 17x-4y=20[/tex]
[tex]\\ \tt\Rrightarrow 17x-20=4y[/tex]
[tex]\\ \tt\Rrightarrow y=17/4x-5[/tex]
Find the distance between the two points (1,1) and (3,-4)
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(3-1)^2+(-4-1)^2}\implies d=\sqrt{2^2+(-5)^2}\implies d = \sqrt{29}[/tex]
For every 2 books that Tom buys, he can buy 3 magazines. If he pays $60 fo 4 books and 4 magazines, how much does he have to pay for each book?
Answer:
Price of book is [tex]9\$[/tex]
Step-by-step explanation:
Let the price of book be [tex]x[/tex] and price of magazine be [tex]y[/tex]
We have
[tex]2x=3y[/tex]
We also have
[tex]4x+4y=60[/tex]
[tex]2\times 2x+4y=60\\\\2\times3y+4y=60\\\\10y=60\\\\y=6\\\\2x=3\times6\\\\x=9\$[/tex]
Price of book is [tex]9\$[/tex]
Someone please help me with this
Answer:
135.5-8.50=127
127/31.75=4
4 friends or your self and 3 friends
Hope This Helps!!!
Answer:
Equation:
31.75x + 8.50 = 135.50
Answer:
x = 4
Step-by-step explanation:
31.75x + 8.5 = 135.5
31.75x = 135.5 - 8.5
31.75x = 127
x = 127/31.75
x = 4
simplify [tex]y^{-3}[/tex]
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 515 randomly selected adults showed that 55% of them would erase all of their personal information online if they could. Find the value of the test statistic.
The value of the test statistic is______
Answer:
257.5 of the 515
Step-by-step explanation:
how much time should be allowed for a 392-km car trip if the car will be traveling at 120km/h
Answer:3hrs 16min
Step-by-step explanation:
392/120 = 49/15 hours = 3 hours + 4/15 hours = 3 hours + 4/15 x 60 min = 3 hours + 16 min
Ivy is graphing how much money she earns for each hour of babysitting. She finds that the data tends to be linear and draws a line that passes through the points (2, 17) and (5, 42.50). About how much does Ivy earn per hour? A. $42.50 B. $17 C. $25.50 D. $8.50
Answer: 8.5
Step-by-step explanation: (42.50 - 17) ÷ (5 - 2)
= 25.50 ÷ 3
= 8.5
Thank me later
Assume running consumes 93 calories per mile. If you run 8 - minute miles, what is your average power output, in watts?
Average power output, in watts = 0.8103 watts
What is average power?The average power represents the constant energy that has been used throughout the time of the journey at a constant rate.
It can be expressed by the following relation:
P=E/T
Given,
Energy consumed per mile = 93 calories
Time taken to cover 1 mile = 8 minutes
Energy consumed per minute = 93/8 calories
Average power = 93/8 = 11.625 calorie per minute
1 calorie per minute = 0.0697 watt
Average power output in watts = 11.625 × 0.0697
= 0.8103 watt
Hence, 0.8103 watt is the average power output in watt.
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Parth created a Box-and-Whisker Plot to show the average weight of the fish he caught over the weekend. What information from the 1st Quartile does the graph give you?
A. Three fourths of the fish he caught were larger than 22 pounds.
B. The average weight of the fish he caught was 40 pounds.
C. Three fourths of the fish he caught were less than 22 pounds.
D. The largest fish he caught was 63 pounds.
The 1st Quartile that the Box-and-Whisker Plot shows tells us that: A. Three fourths of the fish he caught were larger than 22 pounds.
Recall:
In a Box-and-Whisker Plot, about 25% of the data will be below the first quartile while 75% will be above the first quartile, that is Three fourths of the data will be above the first quartile and one-fourths will be below the first quartile.Thus, the given Box-and-Whisker Plot as shown in the diagram below shows that the first quartile is 22 pounds.
Therefore, the 1st Quartile that the Box-and-Whisker Plot shows tells us that: A. Three fourths of the fish he caught were larger than 22 pounds.
Learn more about Box-and-Whisker Plot on:
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Answer: A...
Step-by-step explanation:I trust the guy above me....
24,761 divided by 24
Answer:
1031.70833333
Step-by-step explanation:
Geometric Applications: For the next three questions, use the information below:
A rectangle has a side with a length of 8ft and a width of (2x+4)ft.
Label the rectangle
15 pts
a) Find the perimeter of the Rectangle:
b) Find the area of the rectangle:
c) If the total Area is 80 square feet, find the width in feet.
Answer:
a)Perimeter= 2(8+2x+4)
=(24+4x)ft
b)Area= 8(2x+4)
=(16x+32)square ft
c)16x+32=80
x=3
width= 2x+4 = 2(3)+4 =10ft
PLEASE HELP FOR 100 POINTS AND BRAINLIESTT HELP PLEASE
Kim has fraction 1 over 2 cup of almonds. She uses fraction 1 over 8 cup of almonds to make a batch of pancakes.
Part A: How many batches of pancakes can Kim make with fraction 1 over 2 cup of almonds? (4 points)
Part B: On your own paper, draw a fraction model that shows the total number of batches of pancakes that Kim can make with fraction 1 over 2 cup of almonds. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A.
Answer:
The total number of batches of pancakes that Kim can make with the model is 4 batches of pancake
Step-by-step explanation:
Number of cups of pancakes = 2/4
Number of cups of almonds to make a batch of pancakes = 1/8
Therefore, the batches of pancakes that she can make will be:
= 2/4 ÷ 1/8
= 2/4 × 8/1
= 4
In conclusion, the number of batches of pancakes that Kim can make with the cup of almonds is 4 batches.