Answer:
70∘
Step-by-step explanation:
what is the greatest common factor GCF of 30,66. 84
Answer:
6
Step-by-step explanation:
Factorize of the above numbers :
30 = 2 • 3 • 5
66 = 2 • 3 • 11
84 = 22 • 3 • 7
Build a prime factors table
Number of times each prime factor
appears in the factorization of :
Prime
Factor Number
30 Number
66 Number
84 G.C.F
(min)
2 1 1 2 1
3 1 1 1 1
5 1 0 0 0
7 0 0 1 0
11 0 1 0 0
GCF = 2 • 3
Greatest Common Factor is :
6
The retail price of a television set is $2500. If the buyer pays cash, the price is 10% below the retail price. If the set is bought on hire purchase, the buyer pays a downpayment of $500 and 18 monthly installments of $150.
A) Determine the difference between the hire purchase price and the cash price.
B) Calculate the difference as a percentage of the retail price.
Answer:
cash price:
10% = 250
2500 - 250 = $2,250
hire purchase:
2500 + 500 + 150(18) = $5,700
a) 5,700 - 2,250 = $3,450
draw the image of ABC under a translation by 2 units up
Answer:
Move the corners of the triangle up the axis by two blocks.
A = (-7,-3)
B = (-2,6)
C= (6,-3)
-9/5+-2/3+1/5+3/5 please solve someone
Answer:
-5/3
Step-by-step explanation:
-9/5 + -2/3 + 1/5 + 3/5
= (-9/5 + 1/5 +3/5) - 2/3 (combine the like terms)
= -1 - 2/3
= -5/3
Marcus has a bag of 10
red chips, 15 blue chips,
and 5 black chips. How
many times would he
expect to pick a red chip if
he did the experiment 60
times?
A) 10
B) 20
C) 30
D) 45
PLEASE HELP THIS IS DUE TODAY
Answer:
B
Step-by-step explanation:
Marcus can expect to have red chip 20 times.
What is probability?Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.
Given that, Marcus has a bag of 10 red chips, 15 blue chips, and 5 black chips.
He did an experiment 60 times and we need to find that how many times would he expect to pick a red chip,
So,
Here the favorable outcomes = red chips (10)
Total outcomes = all the chips = 15+5+10 = 20
So, the probability of finding a red chips for the 60 times = 10/20 x 60
= 30
Hence, Marcus can expect to have red chip 20 times.
Learn more about probability, click;
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What is the gradient?
Answer:
Gradient = 2
Step-by-step explanation:
Gradient of a line = Slope of the line
Since, slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Given line in the graph passes through two points (1, 0) and (2, 2)
Therefore, slope or gradient of the line = [tex]\frac{2-0}{2-1}[/tex]
= 2
Gradient = 2 will be the answer.
Write the equation of line AB in slope-intercept form, given the points A(0,5) and B(-5,-10) . In your final answer, include all of your calculations.
Answer:
y = 3x + 5
Step-by-step explanation:
1) First, find the slope between the pair of points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of points A and B into the formula and simplify:
[tex]m = \frac{(-10)-(5)}{(-5)-(0)} \\m = \frac{-10-5}{-5-0} \\m = \frac{-15}{-5} \\m = 3[/tex]
So, the slope is 3.
2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.
3) Using slope-intercept format, represented by the equation [tex]y = mx + b[/tex], write the equation of the line. Remember that the number in place of [tex]m[/tex], or the coefficient of the x-term, is the slope. So, substitute 3 for [tex]m[/tex]. Also, remember that [tex]b[/tex] represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:
[tex]y = 3x + 5[/tex]
Please please help!!!!!!!!
which of the following is equal to the rational expression?
Answer:
d
Step-by-step explanation:
please mark as brainliest if correct
thank you
have a great day/night
:)
My teacher asked me 7 x 1/5 of 19, and I got immediately stumped. My brain is mush today.
Answer:
No lol that seems very confusing but was it 26.6?
Answer: 26.6
Step-by-step explanation:
7 times 1/5= 7/5
7/5 times 19= 26.6
I hope ti helps and may God bless you! have a nice day, bye!
Convert this rational number to its decimal form
and round to the nearest thousandth.
1/7 = _)[?]
Answer:
=0.1428571428751
I hope it's helps you
Mrs. Stancil is planning to use
wrapping paper to cover a gift box that is the
shape of a rectangular prism with dimensions of
3ft by 4ft by 5ft. If the wrapping paper costs
S0.05 per square foot, how much will it cost?
Answer:
4.70
Step-by-step explanation:
there are 6 sides on a box
2 sides are 12 square feet (3*4), 2 sides are 15 square ft (3*5), and 2 sides are 20 square ft (4*5)
12*2+15*2+20*2=24+30+40=94 square feet
if each square foot costs $0.05 (I think that's what it says) then you would do 94*0.05= $4.70
so, your answer is $4.70
Not sure if this is right, but I tried
Find the area of the shaded region.
Answer:
60.5m^2
Step-by-step explanation:
the area of the square
=11m×11m
=121m^2
the area of triangle
=11m×11m÷2
=121m^2÷2
=60.5m^2
the area of the shaded region
=121m^2-60.5m^2
=60.5m^2
the answer is not very sure,
if it is wrong, i am sorry for it.
Hurry, geometry math 7th grade
You need to find the area of the hexagon, and the area of the triangle.
The formula for the area of a triangle is
[tex]a = \frac{bh}{2} [/tex]
I hope this helps you a little.
Answer:
93.5 units^2
Step-by-step explanation:
a^2+b^2=c^2
a=3
b=?
c=6
b=√6^2-3^2
b=3√3=5.196
5.196×3=15.5884
15.5884×6
Plz help me in math problem Its easy I just want to know how to solve this equation.
what is the answer to this?
Answer:
i can only say that you should use this forumla, the sins law
sin(a)/A = sin(b)/B = sin(c)/C
Step-by-step explanation:
help please ............
a business plants trees on 2/4 acre of land each month for 7 months. how many acres of land does the business plant with trees after the 7 months?
a) 2/28
b) 14/28
c) 14/4
d) 30/4
please help. and please take this seriously, thank you.
Answer:
C) 14/4
Step-by-step explanation:
Multiply the amount of land per month by the number of months.
(2/4)(7) = 14/4 acres
Option C is correct, 14/4 acres of land does the business plant with trees after the 7 months
What is Fraction?A fraction represents a part of a whole.
A business plants trees on 2/4 acre of land each month for 7 months.
We have to find the number of acres of land does the business plant with trees after the 7 months
To find this we have to multiply seven with two by four
7×2/4
14/4
Hence, 14/4 acres of land does the business plant with trees after the 7 months
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The sum of two numbers is 66. The smaller number is 18 less than the larger number. What are the numbers?
What is the percent of change from 0.36 to 1.19?
Answer:
230.56%
Step-by-step explanation:
maybe
HELP answer this question please help a girl out
Answer:
37.3 ft
Step-by-step explanation:
x/56 = 32/48
cross multiply:
56x32 = 1792
48x
1792/48 = 37.3
Select the graph that represents the given set. (Click on the graph until the correct one is showing.)
E = {(6, 2), (7, 3), (6, -1), (5, 4)}
Answer:
Hi! The answer is in the pic below!!
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
What is the median of the data represented by the box plot?
enter your answer in the box
Answer:
[tex]Median= 20[/tex]
Step-by-step explanation:
Given
The attached box plot
Required
The median
The median is represented by the vertical line inside the rectangle on the box plot.
Using the description above to read the median from the given box plot.
[tex]Median = 20[/tex]
It is also the same as the second quartile
Find the lengths of the legs.
Answer:
opposite = 5√2
adjacent 5√2
Step-by-step explanation:
the opposite leg can be determined using
Sin = opposite / hypotenuse
√2 / 2= opposite / 10
opposite = 5√2
the adjacent leg can be determined using
cos = adjacent / hypotenuse
√2 / 2= adjacent / 10
adjacent = 5√2
Put some air in your tires: Let X represent the number of tires with low air pressure on a randomly chosen car. The probability distribution of X is as follows.
x 0 1 2 3 4
Px 0.2 0.1 0.4 0.2 0.1
Compute the standard deviation σX. Round the answer to at least three decimal places.
Step-by-step explanation:
sorry po hindi ko po alam sagot
A car travels 30 1/5 miles in 2/3 of an hour what is the average speed in miles per hour of the ca A car travels 30 1/5 miles in 2/3 of an hour what is the average speed in miles per hour of the car
Answer:
45.3 miles/h
Step-by-step explanation:
let 'x' be the speed of the car.
60 × 2/3 = 120/3 = 40
30 × 1/5 = 151/5
151/5 /40 = x / 60
151 / 200 = x / 60
=> x = (151×60) / 200
=> x = 45.3
(hope this helps can i plz have brainlist :D hehe)
The volume of a right circular cone with radius r and height h is V = pir^2h/3.
a. Approximate the change in the volume of the cone when the radius changes from r to r and the height changes from h = 4.00 to h = 3.96.
b. Approximate the change in the volume of the cone when the radius changes from r to r and the height changes from h = 10.0 to h = 9.92.
a. The approximate change in volume is dV = _______. (Type an integer or decimal rounded to two decimal places as needed.)
b. The approximate change in volume is dV = ___________ (Type an integer or decimal rounded to two decimal places as needed.)
The question is incomplete. The complete question is :
The volume of a right circular cone with radius r and height h is V = pir^2h/3. a. Approximate the change in the volume of the cone when the radius changes from r = 5.9 to r = 6.8 and the height changes from h = 4.00 to h = 3.96.
b. Approximate the change in the volume of the cone when the radius changes from r = 6.47 to r = 6.45 and the height changes from h = 10.0 to h = 9.92.
a. The approximate change in volume is dV = _______. (Type an integer or decimal rounded to two decimal places as needed.)
b. The approximate change in volume is dV = ___________ (Type an integer or decimal rounded to two decimal places as needed.)
Solution :
Given :
The volume of the right circular cone with a radius r and height h is
[tex]$V=\frac{1}{3} \pi r^2 h$[/tex]
[tex]$dV = d\left(\frac{1}{3} \pi r^2 h\right)$[/tex]
[tex]$dV = \frac{1}{3} \pi h \times d(r^2)+\frac{1}{3} \pi r^2 dh$[/tex]
[tex]$dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$[/tex]
a). The radius is changed from r = 5.9 to r = 6.8 and the height is changed from h = 4 to h = 3.96
So, r = 5.9 and dr = 6.8 - 5.9 = 0.9
h = 4 and dh = 3.96 - 4 = -0.04
Now, [tex]$dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$[/tex]
[tex]$dV = \frac{2}{3} \pi (5.9)(4)(0.9)+\frac{1}{3} \pi (5.9)^2 (-0.04)$[/tex]
[tex]$dV=44.484951 - 1.458117$[/tex]
[tex]$dV=43.03$[/tex]
Therefore, the approximate change in volume is dV = 43.03 cubic units.
b). The radius is changed from r = 6.47 to r = 6.45 and the height is changed from h = 10 to h = 9.92
So, r = 6.47 and dr = 6.45 - 6.47 = -0.02
h = 10 and dh = 9.92 - 10 = -0.08
Now, [tex]$dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$[/tex]
[tex]$dV = \frac{2}{3} \pi (6.47)(10)(-0.02)+\frac{1}{3} \pi (6.47)^2 (-0.08)$[/tex]
[tex]$dV=-2.710147-3.506930$[/tex]
[tex]$dV= -6.22$[/tex]
Hence, the approximate change in volume is dV = -6.22 cubic units
ASAP Point A, located at (-3, -3) is translated 6 units up, resulting in the location of point A'. What other transformation would result in the same location for point A'? A reflection in the x-axis A translation of 6 units to the left A reflection in the y-axis A rotation of 180°
~I KNOW ITS NOT A REFLECTION IN THE Y-AXIS
Answer:
(3,3)
Step-by-step explanation:
A reflection of this across the y-axis is (-3,3). A reflection of Point A, (-3,-3), over the x-axis is also (-3,3).
Question 11 of 25
What is the solution to this inequality?
X/12 +3 <=7
A. X>=48
B. X<= 81
C. x>=81
D. X<=48
SUBM
Answer:
D
Step-by-step explanation:
first multiply both sides by 12
collect like terms
x/12×12+3×12<=7×12
x+36<=84
x<=84-36
x<=48
6. Find the distance between the points (-2,-3) and (-4,4).
Answer:
Step-by-step explanation: