Answer:
Using the formulas
A=6a2
V=a3
Solving for V
V=6A3/2
36=6·543/2
36≈27
The length of a rectangle is 5 meters less than its width. The perimeter is 78 meters. Find the dimensions of the rectangle
Answer:
above is the solution to the question
2. Solve 3(x – 4) = 12x.
Answer:
x= - 1 1/3
thanks
Given question:-Solve 3(x – 4) = 12x.
Step-by-step explanation:
let's solve:-
[tex]⇒ \: 3x-12=12x \: (distribution \: of \: 3 with \: bracket) \\ \\ ⇒ \: -12=12x-3x \: (arranging \: like \: terms) \: \: \: \: \: \: \: m \: \: \: \: \: \\ \\ ⇒ \: -12=9x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\\ \\ ⇒ \: - \frac{ 12}{9} =x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ ⇒ \: - \frac{ 4}{3} =x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
After making repairs, a swimming pool owner is going to refill the pool with water. The pool's dimensions are 18\times40\times618×40×6 feet, with each cubic foot equivalent to 2.642.64 gallons, and the cost of water \$0.005$0.005 per gallon. To the nearest dollar, what is the estimated cost of filling the pool?
Answer:
$57
Step-by-step explanation:
I'll assume the pool's dimensions are 18 x 40 x 6.
The total volume is (18 x 40 x 6) = 4320 ft^3.
Use the conversion factor (2.64 gallons/1 ft^3) to find the gallons of water in a full pool. Full pool, cool.
Water (gal) = (4320 ft^3)*(2.64gallons/ft^3) = 11,405 gallons
At $0.005/gal, this would cost (11,405 gallons)*($0.005/gal) = $57.02
$57 to the nearest dollar.
what is 3⁵÷3⁷ using indicies?
Answer:
9
Step-by-step explanation
First you multiply 3 five times, then you multiply 3 seven times and you divide the results of each multiplication
Answer:
0.111111111111111
Step-by-step explanation:
=> 3⁵÷3⁷
Note 3⁵ means multiplying 3 five times
And 3⁷ means multiplying 3 7 times
=> 3×3×3×3×3÷3×3×3×3×3×3×3
multiply the values and then divide
=> 243÷2,187
divide 243 by 2187
=> 0.111111111111111
Find the area of each figure. Round your answer to the nearest tenth
Answer:
62
Step-by-step explanation:
step 1: find the height of half the yellow coloured triangle (right angled triangle). remember that the angle formed at the center is always 36° for a pentagon.
tan36° = opposite/ adjacent
tan36° = 3/h (h for height)
h × ( tan36°) = 3
h = 3 / tan36°
h = 4.13
step 2: calculate area of the right angled triangle
Area = 1/2 × b × h
= 1/2 × 3 × 4.13
= 6.195
step 3: calculate the area of a Pentagon
a Pentagon can be divided into ten right angled
triangle
6.195 × 10
total area = 61.95
rounded off = 62
What is the cost, in dollars, of the minimum number of boxes needed to total 48 ounces of pasta?
Answer:
The minimum number of boxes needed is and the cost is
Step-by-step explanation:
step 1
Find the cost of one box
by proportion
step 2
Find the number of boxes for 48 ounces of pasta
by proportion
step 3
Find the cost of 4 boxes
we know that
The cost of one box is
so
The cost of 4 boxes is
Answer:
1.92
Step-by-step explanation:
This should be a part be so it's 48/25=1.92
Can someone see if i did this correct? If not pls explain
Answer:
Not right.
Step-by-step explanation:
m <HGJ + m <KGJ =180°
So, m <HGJ = 180° - m <KGJ = 180° - 86° =94°
A store offers discounts on lunch-size chip bags when buying larger quantities. The graph below represents the total cost, in dollars, for the number of bags purchased.
What is the difference in the price per bag for 150 bags versus 50 bags?
The difference in the price per bag for 150 bags versus 50 bags is $0.15 per bag.
What is the difference in the price of the bags?If 150 bags on the x axis is traced to the y axis, the price of the bag is $38.
If 50 bags on the x axis is traced to the y axis, the price of the bag is $20.
Price per bag:
150 bags = 38 / 150 = $0.25
50 bags = $20 / 50 = $0.4
The difference = $0.4 $0.25 = $0.15
Please find attached the graph used in answering this question. To learn more about subtraction, please check: https://brainly.com/question/854115
Answer:
A: $0.15 per bag
Step-by-step explanation:
What is the difference of 6 and 2 1/5?
Answer:
3 4/5
Step-by-step explanation:
6- 2 1/5= 5 5/5-2 2/5= 3 4/5
Daniel gets a paycheck every 4 weeks. He works x hours each week.
How many hours does Daniel get paid for on each paycheck?
Write your answer as an expression.
Answer:
4x
Step-by-step explanation:
x hours for 4 weeks = 4x
it's 4 times x
Please help me Quick!!
Amelia needs to buy some dog food. At the nearest store, 3 bags of dog food cost $11.25. How much
would Amelia spend on 6 bags of dog food?
Amelia would spend $
on 6 bags of dog food.
Step-by-step explanation:
She's buying twice the bags
So for 2(3) bags, it will cost 2(11.25)
This $22.50
The equation of a line is y = 3 - 4x What is the y-intercept of the line?
help :')
Answer:
y-intercept is 3
The point where the line intercepts the y-axis is (0, 3)
Step-by-step explanation:
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)
Given equation of line: [tex]y=3-4x[/tex]
Rearrange: [tex]y=-4x+3[/tex]
Therefore, the slope of the line is -4 and the y-intercept is 3.
FYI the line intercepts the y-axis when x = 0, so you can input x = 0 into the equation to find y ⇒ (0, 3)
Answer:
The y-intercept of the line is 3.
Step-by-step explanation:
Formula: y = mx + b
y = 3 - 4x
y = -4x + 3
On the formula, "b" means y-intercept. Therefore, the y-intercept of the line is 3.
40 points! First answer gest brainliest! A 9th grade teacher at a local high school wants to know which subject the 9th grade students in school like the best.
Which group of people should make up a sample that will best answer her question?
A. Other 9th grade teachers in her school
B. Parents of 9th graders in her school
C. 9th graders in her school
D. 9th graders in her homeroom
Answer
9th graders in her school
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A is wrong because the teachers are not in 9th grade.
B is wrong because parents are not in 9th grade
D is wrong because the homeroom does not represent the entirety of 9th grade
A library has an aquarium in the shape of a rectangular prism. The base is 6 ft by 2.5 ft. The height is 4 ft. How many square feet of glass was used to build the aquarium?
Step-by-step explanation:
Solve the problem step by step.
First,
Base area: 6 * 2.5 = 15
Then,
The area of the two smallersides:
2.5 * 4 = 10
10 * 2 = 20
After that,
The area of the two larger sides:
6 * 4 = 24
24 * 2 = 48
After all of the calculations, you add all of the sums up:
15+20+48
Which equals 83.
The equation form for this problem would be:
(6*2.5) + 2(2.5*4) + 2(6*4) = 83
Hope this helps and it wasn't too confusing!
Find the 9th term of the geometric sequence 10,40,160,...
Answer:
the sequence:
10 , 40 , 160 , 640 , 1280 ,2560 , 10240 , 40960 and 163840
-4(1.75+x)=18 show your work
Answer:
x = -6.25
Step-by-step explanation:
-4(1.75+x)=18
-7 - 4x = 18
-4x = 25
x = -6.25
Have an amazing day!!!
PLEASE RATE AND MARK BRAINLIEST!!!
Answer:
x = -6.25
Step-by-step explanation:
-4(1.75+x)=18
-7 -4x = 18
+7 +7
-4x = 25
/-4 /-4
x = -6.25
The relative frequency of Event A in an experiment is 20%. If the experiment is performed 40 times, how many times should you expect Event A to occur?
Enter your answer as a number, like this: 42
Step-by-step explanation:
look at a die, for example.
the probabilty to roll a 6 is 1/6 (if all numbers truly have the same probability due to a perfectly balanced die).
so, you expect as a mean value that you have to roll the die 6 times to get one 6.
now in our general example :
20% = 1/5
so, we expect event A to happen once as a mean value every 5 attempts.
now we do 40 attempts. that means 8×5 sets of attempts.
and we therefore expect to see event A 8 times.
What is the circumference of a circle with a radius of 3.6 units,I don’t really know how to do this because I’m new to this kind of math.
Answer:
22.608 units
Step-by-step explanation:
Basically, the circumference of a circle is the distance around a circle, sort of like the perimeter of a figure. It has a unique formula which is [tex]C=2\pi r[/tex] where [tex]r[/tex] is the radius, which is the distance between the circle and its center. Using our given information, we can find the circumference:
[tex]C=2\pi r\\C=2(3.14)(3.6)\\C=22.608[/tex]
Therefore, the circumference of a circle with a radius of 3.6 units is 22.608 units.
Answer:
Circumference is...
22.608Step-by-step explanation:
Multiply the radius by 2 to get the diameter.
Multiply the result by π, or 3.14 for an estimation.
That's it; you found the circumference of the circle.
Hope it helps!!!!!brainliest pls!!!!!!!!dont worry I already took this lesson.
8 Cakes are cut into fourths. How many pieces are there?
Answer:
32
Step-by-step explanation:
if you were to cut each cake (8) into 4 pieces you would have 4 pieces for each cake you cut SO if you do 4 pieces times 8 cakes that is 32 pieces in total
Betty sets up a lemonade stand and charges $1 per glass. It cost her $50 to set up the stand. Which function gives the profit, p, she makes by selling g glasses of lemonade?
Answer:
Profit = $1 x Quantity - $50
Find the radius
Volume= 250π³in
Answer:
Volume for a cylinder in this case is
V=˜ πr^2h
So R being radius
H being height
V being volume.
We know the volume is 250π
The height is given in the diagram which is 10.
Plug in the infromation into the formula.
250π = πr^2*10
Simplify and solve for r (radius).
Let’s divide by π on both sides
250 = r^2 * 10
Divide by 10 to get rid of 10
25 = r^2
√25 = r
√25 = 5
The radius is 5
what is the range of 2 4 2 6 1
Answer:
Population size:5
Lowest value: 1
Highest value: 6
Range: 5
Thanks!
m) A twelve-metre length of rope is cut into two, so that one
piece is three times as long as the other. How long is the shorter
piece?
Answer:
A four-meter long rope
Step-by-step explanation:
4 * 3 = 12
Answer:
I think its 11
Step-by-step explanation:
solve for x picture is not drawn to scale
(will give brainliest)
Answer:
[tex]\tt x= 62.5[/tex]
Step-by-step explanation:
[tex]\tt x+5+x+7+(180-137)=180[/tex]
[tex]\tt x= 62.5[/tex]
~
Please help ASAP. And Please make sure to answer this correctly.
Answer:
-7
Step-by-step explanation:
[5 0 -2]-[-1 3 8]
[5-2]-[-1+11]
3-10
-7
You randomly pull two bills, what is the probability that they are both $20?
Answer:
Depends on the pool you are pulling them from.
There are currently 11 different denomination accessible.
That would be 1 out of 11.
But considering that 4 of those bills are uncommon, the odds become 1 out of 7
Then to pull 2 of the same would mean you multiply 1/11 by 1/11 = 1/121
for the 1/7 it would become 1/49
Directions: Fill in the missing words to complete the meaning. Choose your answer
from the choices given inside the box. Copy and answer on a sheet of paper.
decimal point
hundred
lowest
numerator
percent
Percent means per (1)
Percent can be written as a ratio with 100 as
the second term or a fraction with 100 as the denominator. It can also be written as
decimal number
To change percent to fraction, remove the percent sign and write the number as
the (2), then write 100 as denominator. Change the fraction to (3)
term
In writing percent to decimal, remove the percent sign, then move the (4)
twice to the left. In changing decimal to (5)
we move the
decimal point twice to the right and affix the percent sign.
Answer:
(1) Hundred
(2) Numerator
(3) Percent
Step-by-step explanation:
15 POINTS PLEASE HELPP
[0,2]
[2,6]
[6,10]
Someone pls help?????????????????????????
Answer:
p=m*9+9
So 45/4=9
9*4=36
36+9=45
Check with table
5*9=45
45+9=54
6+9=54
63+9=63
7+9=63
63+9=72
So as you can se the equation is p=9*m+9
Hopes this helps!
Find the equation of a line that passes through the point (1,-4) and has a gradient of -3. Leave your answer in the form y=mx+c
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-4})\qquad \qquad \stackrel{slope}{m}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{-3}(x-\stackrel{x_1}{1}) \\\\\\ y+4=-3x+3\implies y=-3x-1[/tex]