Answer:
7
Step-by-step explanation:
When you multiply two numbers together to get a product, those two numbers are considered factors of the product. There are certain operations in math that require comparing two or more numbers and identifying the largest factor they have in common. This is called the greatest common factor (GCF).
Answer:
The first step to find the gcf of 14 and 35 is to list the factors of each number. The factors of 14 are 1, 2, 7 and 14. The factors of 35 are 1, 5, 7 and 35. So, the Greatest Common Factor for these numbers is 7 because it divides all them without a remainder.
so 7 is the greatest common factor of 35+14
The factors of 14 are 1,2,7,14; The factors of 35 are 1,5,7,35.
"how may I apply the distributive property to this expression."
By factoring out 7, the expression 35+14 = 7(5 + 2) and so you have an alternative way of computing the sum.
49 = 7(7).
This figure is made from a part of a square and a part of a circle.
What is the perimeter of this figure, to the nearest unit? ______ units
Answer:
38 units (rounded off to the nearest unit)
Step-by-step explanation:
Find the perimeter of the circle part, if the circle section is a 90degree slice, then it is a quarter of the full circle's circumference[tex]Circumference=pi\times 2radius\\C=\pi \times 2(5)\\C=10\pi[/tex] now find a quarter of this then[tex]SectionCircumference=\frac{5}{2}\pi[/tex] Then find the perimeter of the whole thing by adding the side [tex]P=10+10+5+5+\frac{5}{2}\pi =37.85[/tex]The perimeter of the given figure will be 38 units.
What is perimeter?Its the sum of length of the sides used to made the given figure.
We are given that Measures of three linear sides as 5, 10, 10, 5 units.
Radius of the circular part = 5 units
Since Perimeter of a polygon = Measure of the circumference of the polygon
The Perimeter of the figure = measure of the three straight lines + measure of the circumference of the quarter circle
Thus Measure of linear sides = 5 + 10 + 10 + 5 = 30 units
Circumference of the quarter circle = 2πr
= 2π(5)
= 7.85 units
Perimeter of the figure = 30 + 7.85
= 37.85
≈ 38 units
Therefore, the perimeter will be 38 units.
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how many terms of the AP: 24,21,18 must be taken so that thier sum is 78?
Felicity the clown inflates 2 balloons in 5 minutes. Grumpy the clown ties 5 balloon animals in 12 minutes they both work at a steady rate. If Felicity maintained this constant rate, how many balloons could she inflate in one hour? If Grumpy maintained this constant rate, how many balloon animals could he tie in one hour?
Answer:
24 Balloons for Felicity
25 balloons for Grumpy
Step-by-step explanation:
Graph y = 2/5x
Graph y = 5/12x
Graph x = 60
Find intersects
(60,24)
(60,25)
Points X and Z are on a number line, and point Y partitions
line XZ into two parts so that the ratio of the length of line
segment XY to the length of line segment YZ is 5:7. The
coordinate of X is 0.4, and the coordinate of Y is 5.8. What
is the coordinate of Z?
Answer:
The coordinate of [tex]Z[/tex] is 13.36.
Step-by-step explanation:
According to the statement, we have the following information:
[tex]\frac{XY}{XZ} = \frac{5}{12}[/tex] (1)
[tex]\frac{YZ}{XZ} = \frac{7}{12}[/tex] (2)
[tex]X = 0.4[/tex] (3)
[tex]Y = 5.8[/tex] (4)
From (2), we have the following expression:
[tex]YZ = \frac{7}{12}\cdot XZ[/tex]
[tex]Y-Z =\frac{7}{12}\cdot (X-Z)[/tex]
[tex]Y - Z = \frac{7}{12}\cdot X -\frac{7}{12}\cdot Z[/tex]
[tex]Y-\frac{7}{12}\cdot X = Z-\frac{7}{12}\cdot Z[/tex]
[tex]\frac{5}{12}\cdot Z = Y-\frac{7}{12}\cdot X[/tex]
[tex]5\cdot Z = 12\cdot Y-7\cdot X[/tex]
[tex]Z = \frac{12}{5}\cdot Y-\frac{7}{5}\cdot X[/tex] (5)
If we know that [tex]Y = 5.8[/tex] and [tex]X = 0.4[/tex], then the coordinate of [tex]Z[/tex] is:
[tex]Z = \frac{12}{5}\cdot (5.8)-\frac{7}{5}\cdot (0.4)[/tex]
[tex]Z = 13.36[/tex]
The coordinate of [tex]Z[/tex] is 13.36.
3x - 2y + 5z = 2
4x - 7y - z = 19
5x - 6y + 4z =13
On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, , to the number of hours flying, , is . How long will it take the airplane to travel 800 miles?
Complete question :
On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?
Answer:
1.6 hours
Step-by-step explanation:
Given the function :
Time t taken for flying distance d is given by:
t = 1/500 * d
Tine taken to fly 800 miles;
d = 800 miles
t = 1/500 * (800)
t = 800 / 500
t = 1.6
Hence, time t = 1.6 hours
PLEASE HELP ME ASAP!!
how to solve this pls I need answer fast
There are markings given in the diagram.
(Angle) ∠A and ∠D are =
(Side) AC and DB are =
(Side) In a trapezium, the opposite sides are equivalent, meaning AB and DC are =
So you got side, angle, and another side.
You can form the SAS (Side-Angle-Side) similarity theorem.
You can also use the reasons above to make a Statement-Proof table
I need help with 14. you have to simplify the expression and then your answer will reveal a letter on the right hand side
Answer:14 is H
Step-by-step explanation:
Answer:
3x+21 (H)
Step-by-step explanation:
9-3(3x-4)+12x
9-(9x-12)+12x
9-9x+12+12x
(9+12)+(-9x+12x)
21+3x or 3x+21
Three classes of 26 students each sign up for a field day. Teams can have no more
than 9 students. How many teams are full? How many students are on the last team?
Answer:
2 teams are full and the last team has 8 members
Step-by-step explanation:
Simple subtraction 26-9=17 so theres one team, then 17 minus 9 is 8 so there is another team so the awnser is 2 and 8/9
Total element of a set for Consideration as called____
(a) Sub-set
(b) Intersection
(c) Universal set
(d) Disjoint set
Answer:
Universal set
Step-by-step explanation:
A universal set is a set which contains all the elements or objects of other sets, including its own elements. It is usually denoted by the symbol 'U'. Therefore, Set U has all the elements of Set A and Set B. ...
Determine which of the following are solutions to the equation.
2y + x = 4
O (-2, 3)
O (5, -6)
O (3,-2)
O (4, -3)
Answer:
-2,3
Step-by-step explanation:
the x being -2 would be the x answer while 3 would be the y so it eould go like this
2(3) + -2=4
6+-2=4
A performer expects to sell 10,000 tickets for
an upcoming concert. They want to make a
total of $721,000 in sales from the these
tickets. Assuming that all tickets have the same
price, what is the price for one ticket?
GIVING BRAINLYYY write the equation of this line
100 pointsssss!!
what are the pointsss???? Graph the function.
f(x)=−15x+4
Answer:
Step-by-step explanation:
I'd suggest you find the two intercepts and draw a line through them.
y-intercept: value of y when x = 0. Here, f(0) = -15(0) + 4, so the y intercept is the point (0, 4).
x-intercept: value of x when y = 0. Letting f(x) = y = 0, we get
0 = -15x + 4, so that 15x = 4, and x = 4/15. The x-intercept is (4/15, 0).
Plot the points (0, 4) and (4/15, 0) and draw a line thru them.
What’s that answer for
9xr -8
80
144+ 18x=360
..............................
I need help, fast- please-
Answer:
since she subtracted 15 5 time a total of 5 rafts are needed
Step-by-step explanation:
Which equation represents a line that passes through (4, 1/3) and has a slope of 3/4?
Step-by-step explanation:
let the equation be y - y1 = 3/4(x - x1)
sub (4, 1/3):
y - 1/3 = 3/4(x - 4)
therefore answer is option 2.
Topic: coordinate geometry
If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!
Answer:
[tex]y-\frac{1}{3} =\frac{3}{4} (x-4)[/tex]
Step-by-step explanation:
To see which equations have the slope of 3/4, we just need to focus on the right half of the equations to see what the multiplier of x is.
Equations 1 and 3 can be eliminated because they have a slope of [tex]\frac{1}{3}[/tex] and 4 respectively.
Now we can decide between 2 and 4 by plugging in the point [tex](4,\frac{1}{3})[/tex] to see which works properly.
Simplify equation 2
[tex]y-\frac{1}{3} =\frac{3}{4} (x-4)\\\\y-\frac{1}{3} =\frac{3}{4}x-3\\\\y=\frac{3}{4}x-\frac{8}{3}[/tex]
Plug in the point
[tex]\frac{1}{3} =\frac{3}{4}(4)-\frac{8}{3} \\ \\\frac{1}{3} =3-\frac{8}{3} \\\\\frac{1}{3} =\frac{9}{3} -\frac{8}{3} \\\\\frac{1}{3} = \frac{1}{3}[/tex]
This checks out, so equation 2 is your answer.
Find the value of that makes m ll n.
Answer: x = 108
Step-by-step explanation: In this problem, we're given a diagram and
we're asked to find the value of x that would make m ll n.
We can see that the angles that are marked in the diagram
are same-side interior angles since they lie on the same side
of the transversal and they lie on the interior of lines m and n.
Therefore, in order for line m to be parallel to line n,
these angles must be supplementary.
In other words, they must add to 180 degrees.
So we can setup the equation x + 72 = 180.
Subtracting 72 from both sides gives us x = 108.
So the value of x that would make line m ll n is 108.
Now that you have had a chance to read excerpts from Anne Frank’s diary and the play version of it, which do you prefer? Why?
Answer:
Reading it because you could really imagine and get the feel of it inside your head and almost feel like you are here
Step-by-step explanation:
I would prefer the play version of excerpts from Anne Frank's Diary over reading excerpts.
Who is Anne frank?Annelies Marie "Anne" Frank was a German-born Jewish girl who kept a diary in which she documented life in hiding under Nazi persecution. She is a celebrated diarist who described everyday life from her family hiding place in an Amsterdam attic.
Given are excerpts from Anne Frank's diary and play version.
I would prefer the play version of excerpts from Anne Frank's Diary as watching a play is better than reading because the characters come to life, as does the way they relate to and interact with each other.
Therefore, i would prefer the play version of excerpts from Anne Frank's Diary over reading excerpts.
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Your school district cancels school when at least 3 inches of snow accumulate on the ground each hour. Snow is currently accumulating at a rate of 3/2 inches per hour. Select an inequality that represents the extra snow accumulation s (in inches per hour) needed to cancel school.
Answer:
x > 2
Step-by-step explanation:
x is the hours of accumulation.
3/2 *2 = 3
Abiodun and Taiwo share 735 naira between them so that Abiodun gets 75naira than taiwo. Find how much money each get
Equations:
A + T = 735 naira
A = T + 95
A + T = 735
A - T = 95
Add and solve for A:
2A = 830
A = 415 naira
T = 735-415 = 320
Abiodun and Taiwo got 415 & 320 naira , respectively.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
Abiodun and Taiwo share 735 naira between them so that Abiodun gets 75naira than taiwo.
now, we get
A + T = 735 naira
A = T + 95
A + T = 735
A - T = 95
Add and solve for A:
2A = 830
A = 415 naira
T = 735-415 = 320naira
Hence, Abiodun and Taiwo got 415 & 320 naira , respectively.
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The NBA regulations require that the court be 132 feet long. If 1 meter = 3.3 feet, how long is the basketball court in meters?
Gurl this is 6th grade math and I’m still dumb Enough to not know it
Answer:
false, false, true
Step-by-step explanation:
0 times anything is always 0. 7 with an exponent of 3 is never 7*3, it's 7*7*7. for the last one, 2*2*2*2 is 16 and so is 4*4. lol im pretty dumb too tbh
The ratio of boys to girls in a group is 3:1. If there are 52 more boys than girls, work out how many people there are in total.
answer is 104
Step-by-step explanation:
let the no. of girls =x
then no. of boys=x+52
A.T.Q
x+52/x=3/1
x=26
hence girls =26
and boys =78
total students =26+78=104
Answer:the ratio of boys to girls now is 21:17 now you just at 21 and 17 which is 38 then that’s the answer.
Step-by-step explanation:
What is the y-intercept in the equation: y = 5x + 7
Answer:
the y-intercept is 7
Step-by-step explanation:
y=mx+b
m=slope
b= y-intercept
Two friends went to Best Buy and bought Pokemon cards and baseball cards. Each Pokemon card was the same price and each baseball card was the same price. The first friend paid $12 for 14 pokemon cards and 5 baseball cards. The second friend paid $24.80 for 10 pokemon cards and 15 baseball cards. What was the cost of each baseball card?
A.
$1.42
B.
$0.35
C.
$ 1.15
D.
$0.63
The slope of the line that passes through the points (9, 11) and (3,6) is what
The equaiton of the line is y = (5/6)x + 7/2. Then the slope of the line is 5/6.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The two points are (9, 11) and (3, 6).
The equation of the line that passes through (9, 11) and (3, 6) will be given as,
(y - 6) = [(11 - 6) / (9 - 3)](x - 3)
y - 6 = (5/6)(x - 3)
y - 6 = (5/6)x - 5/2
y = (5/6)x + 7/2
The equaiton of the line is y = (5/6)x + 7/2. Then the slope of the line is 5/6.
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Rewrite x^2+16x-36 in factored form
The discount allowed in a store for a cash payment is 6%. Find what a buyer pays for an article whose marked prices $567.50
Answer:
A buyer would have to pay $533.45 for an article whose marked prices $567.50.
Step-by-step explanation:
Marked price = $567.50
Discount=6%
Price after discount = 567.50 - 6% of 567.50
[tex]=\:567.50\:-\frac{6}{100}\:\times \:567.50[/tex]
[tex]=567.5-34.05[/tex]
[tex]=533.45[/tex] $
Therefore, a buyer would have to pay $533.45 for an article whose marked prices $567.50.