Answer:
1/6=6
Step-by-step explanation:
Conversion a mixed number 2 1/
4
to a improper fraction: 2 1/4 = 2 1/
4
= 2 · 4 + 1/
4
= 8 + 1/
4
= 9/
4
To find new numerator:
a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4/
4
= 8/
4
b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9
c) Write a previous answer (new numerator 9) over the denominator 4.
Two and one quarter is nine quarters
Divide: 9/
4
: 3/
8
= 9/
4
· 8/
3
= 9 · 8/
4 · 3
= 72/
12
= 12 · 6/
12 · 1
= 6
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/
8
is 8/
3
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, , cancel by a common factor of 12 gives 6/
1
.
In words - nine quarters divided by three eighths = six.
make another Fibonacci sequence.This time start with:0,2,...
Answer:
0, 2, 2 4 6 10 16 26 42 68 110
Step-by-step explanation:
It would be great if someone could answer this :)
Answer:
Step-by-step explanation:
You could do this step by step.
The first year is left alone: 90,000 kt
The second year is 90000 * 0.96 That represents a 4% reduction
Second year = 86400
Third year = 86400 * .96 = 82944
Fourth year = 82944 * 0.96 = 79626.24 Here's where you run into your first dilemma. What do you do with that 0.24? The answer is, you round it here, but leave it in your calculator.
Fourth year = 79626
Fifth year = 79626.24 * 0.96
Fifth year = 76441
Sixth year = 79626.1904 * 0.96
Sixth year = 73383.542
Sixth year = 73384
Of course once you have gone through all that, you could do it this way
Sixth year = 90000 * 0.96^(n - 1) = 73383.54 = 73384
Same answer both ways.
I'm going to leave the addition to you.
Sum = a* (r^(n) - 1)/ (r - 1)
Sum = 90000 * (0.96^5 - 1) / (0.96 - 1 ) = 415411 rounded. I think that's right, but check it out.
indica los monomios semejantes en cada uno de las siguientes series: por favor ayudenmen aaaaaaa D':
Answer:
Do you have this in english so that I can help :)
Step-by-step explanation:
On the following parallelogram, find angle a in degrees.
12 inches
b
с
у
a
1149
+
Х
O a = 66
O a = 114
O a = 45
O a = 58
9514 1404 393
Answer:
a = 66
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary.
a = 180° -114°
a = 66°
Please evaluate this...
Want it in detail...
Will mark Brainliest for the best answer..
Step-by-step explanation:
everything can be found in the picture
1
What is the y-intercept of a line that has a slope of 2 and passes through point (8,3)?
1
3
5
11
Answer:
the y intercept is -13
Step-by-step explanation:
First of all we need the line equation so let's find it first :
y = mx + b
y = 2x + b
_______________________________
The line passes through point ( 8 , 3 ) which means if put 8 instead of x the y must equals to 3 :
2(8) + b = 3
16 + b = 3
b = 3 - 16
b = - 13
______________________________
Now we have the equation of the line :
y = 2x - 13
To find the y-intercept we just need to out 0 (zero ) instead of x ; Let's do it :
y = 2(0) - 13
y = 0 - 13
y = - 13
Thus the y-intercept = - 13
D The prize money for a competition is
shared between the winner and the runner-up
in the ratio 3: 1.
The winner received £250 more than the
runner-up.
What was the total prize money?
Answer: 333.3
Step-by-step explanation:
Answer:
Total amount = £500
Step-by-step explanation:
Let the amount for the runner up be = x
Let the amount for winner be = x + 250
Let the total amount be x + x + 250 = 2x + 250
Ratio of the amount is 3 : 1
Sum of the ratio = 3 + 1 = 4
Amount for the winner is
[tex]\frac{3}{4} \ of \ (2x + 250) = (x + 250)\\\\\frac{3}{4}\times(2x + 250) = x + 250\\\\\frac{6x}{4} + \frac{750}{4} = x + 250\\\\\frac{6x}{4} - x = 250 - \frac{750}{4}\\\\\frac{6x - 4x}{4} = \frac{1000 - 750}{4}\\\\\frac{2x}{4} = \frac{250}{4} \\\\2x = 250\\\\x = 125[/tex]
Therefore, Amount won by runner - up = x = £125
Amount won by winner = x + 250 = 125 + 250 = £375
Therefore, total amount = 375 + 125 = £500
Find the distance between the points (-4,-2) and (-10, 6). Write your answer as a whole number or a fully simplified radical expression. Do not round. units
Find the value of the term in the arithmetic sequence using an = a^1+ (n-1)d. 3,5,7,9,11, (8th term)
=========================================================
Work Shown:
a1 = 3 = first term
d = 2 = common difference (since we add 2 to each term to get the next one)
Let's compute the nth term.
an = a1 + (n-1)*d
an = 3 + (n-1)*2
an = 3 + 2n-2
an = 2n+1
-----------------------
To check things so far, we can plug in something like n = 2
an = 2n+1
a2 = 2*2+1
a2 = 5
Showing that the 2nd term is 5, which matches with the sequence given to us
Let's check n = 3
an = 2n+1
a3 = 2*3+1
a3 = 7
That matches as well. I'll let you check the others.
-----------------------
Plug in n = 8 to find the 8th term
an = 2n+1
a8 = 2*8+1
a8 = 17
The eighth term is 17, which is the final answer.
-----------------------
You could extend out the given sequence by adding 2 each time until you reach the 8th term
3,5,7,9,11,13,15,17
Though this method is slow if you need to find say the 38th term
Answer:
17 is the answer for the value of the term in the arithmetic sequence using the above
What is the approximate distance between the swing and the slide?
Answer:
Distance of slide = 80 feet. Angle between swing and slide = 30 degrees
Which of the following graphs best represents the solution to the pair of equations below? y = −2x + 2 y = 2x + 2
Group of answer choices:
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at negative 2 and the x axis at 1. The lines intersect at 1 comma 0.
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at negative 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines are parallel and do not intersect.
-A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines intersect at 0 comma 2.
- A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at negative 1. The other line passes through the y axis at negative 2 and the x axis at negative 1. The lines intersect at negative 1 comma 0.
Answer:
A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines intersect at 0 comma 2.
Answer:
yes
Step-by-step explanation:
Ill mark you brainlist plz help if you put something random I will report you!
Answer:
Rate of change=1
Step-by-step explanation:
y2-y1/x2-x1
(2,0), (0,-2)
y2=-2
y1=0
x2=0
x1=2
-2-0/0-2
-2/-2
1
Rate of Change=1
If this helps please mark as brainliest
Answer:
1
Step-by-step explanation:
Choose two points from the graph.
(0,-2) & [tex]= \frac{0 - [-2]}{2-0}\\\\= \frac{0+2}{2}\\\\= \frac{2}{2}\\\\= 1[/tex](2, 0)
Rate of change = Change in y / change in x
During a recent two-day snowstorm, it snowed 6- inches on the first day
8
5
and 8 inches on the second day. Find the total snowfall.
12
,
Answer:
4.8 inches
Step-by-step explanation:
6 * 1 / 8 = 0.75
8 * 5 / 12 = 3.33
0.75 + 3.33 = 4.8 inches
Answer:
4.8 inches
Step-by-step Explanation:
rút gọn biểu thức của căn bậc hai số học của 125 - 10 căn bậc hai số học của 1/20 - căn bậc hai số học của 5 - 5/ căn bậc hai số học của 5
Answer:
2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{125}[/tex]-10[tex]\sqrt{ \frac{1}{20} }[/tex]-[tex]\sqrt{5}[/tex]-[tex]\frac{5}{\sqrt{5} }[/tex]
=5[tex]\sqrt{5}[/tex]-10[tex]\frac{\sqrt{5}}{10}[/tex]-[tex]\sqrt{5}[/tex]-[tex]\sqrt{5}[/tex]
=2[tex]\sqrt{5}[/tex]
In a 30-60-90 special right triangle, if long leg is 5√3 then the short leg = ___, and the hypotenuse is ____
Answer:
short = 5, hypotenuse = 10
Step-by-step explanation:
In a 30-60-90 triangle, the long leg is x√3, the short leg is x, and the hypothenuse is 2x.
As the long leg is 5√3, we can see that x is 5. So, the short leg would be 5 and the hypothenuse would be 2x5, which is 10.
Greatest common factor for 30y^4, 6, 14y
Answer:
2
Step-by-step explanation:
30/2 = 15
15/3 = 5
5/5 = 1
2 * 3 * 5 * y^4
6/2 = 3
3/3 = 1
3 * 2
14/2 = 7
7/7 = 1
2 * 7 * y
Only 2 appears in all the numbers
The center of circle Q has coordinates (3,-2). If circle Q passes through R(7,1), what is the
length of its diameter?
A. 50
B. 25
C. 10
D. 5
Answer:
C.
Step-by-step explanation:
We can use the distance formula to find the distance between the center of circle Q and point R, which is also the radius of the circle. Then, we can multiply this value by 2 to get the diameter of the circle.
Distance Formula:
The distance between two points with coordinates (x1, y1) and (x2, y2) is given by the formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using the distance formula, we can find the radius of circle Q:
radius = sqrt((7 - 3)^2 + (1 - (-2))^2)
= sqrt(4^2 + 3^2)
= 5
Therefore, the diameter of the circle is:
diameter = 2 * radius
= 2 * 5
= 10
So, the length of the diameter of circle Q is 10 units.
HELP ASAP !! Which is more, 1 mile or 365 yards?
Answer:
1 mile is longer than 365 yards
Step-by-step explanation:
there are 1,760 yards in a mile
Hi there!
»»————- ★ ————-««
I believe your answer is:
One mile.
»»————- ★ ————-««
Here’s why:
A mile is 1,760 yards. Since the number of yards given in the question, 365, is less than 1,760, a mile would be more than 365 yards. Side note: 365 yards is about 0.2 of a mile.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
bella is selling jelwery at a craft fair. she made 40 necklaces and selling them for $12 each. how much more money would she make If she sells all $40 necklaces than if only sells 10?
Answer:
Yeah 10
Step-by-step explanation:
40 will give her more
CD is a perpendicular bisector of chord AB and a chord through CD passes through the center of a circle. Find the diameter of the wheel. a- 14 2/5in b- 10in c- 12 1/5in d- 7 1/5in.
Answer:
[tex]12\frac{1}{5}[/tex] in
Step-by-step explanation:
That's the correct answer :)
Mike and Sarah are packing boxes at a factory. Mike packs 30 boxes each hour. Sarah packs 15 boxes each hour. How many boxes will each person have packed after an 8 hour shift?
Answer:
Mike= 240 boxes
Sarah= 120 boxes
Step-by-step explanation:
Mike and Sarah are packing boxes at a company
Mike packs 30 boxes each hour, after an 8 hour shift the number of boxes he will pack is
= 30×8
= 240
Sarah packs 15 boxes each hour, afterr an 8 hour shift the number of boxes she will pack is
= 15×8
= 120
Hence after the 8 hours shift Mike will pack 240 boxes while Sarah will pack 120 boxes
5 number summary? Please help this is confusing and please do step by step
Which values of x would make a polynomial equal to zero if the factors of the
polynomial were (x+4) and (x+8)?
A. 4 and -8
B. 4 and 8
O c. -4 and -8
O D. -4 and 8
Answer:
C
Step-by-step explanation:
Given the factors of a polynomial.
To find the zeros ( the values that make the polynomial equal to zero ), then
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x + 8 = 0 ⇒ x = - 8
Solve the equation for X. Show all work.
6(-3x - 4) = - 18x + 24
Can someone help me find the area plz
Answer:
16.24 yd^2
Step-by-step explanation:
The area is
A = bh
A = 5.6*2.9
A =16.24 yd^2
Answer:
Step-by-step explanation:
90.9
Find the slope of the line that passes through the
points (-3,5) and (3, 1).
Answer:
Slope = -2/3
Step-by-step explanation:
Slope = change in y / change in x OR the rise/run
Slope = (5 - 1)/(-3 -3)
Slope = 4/-6
Slope = -2/3
Hope this helped!
Solution :
As we know that,
[tex] \boxed{\red{\bf{Slope \: (m) \: = \: \dfrac{y_{2} \: - \: y_{1} }{x_{2} \: - \:x_{1}} }}} \: \bigstar[/tex]We have :
[tex]\sf{x_1 \: = \: -3}[/tex][tex]\sf{y_1 \: = \: 5}[/tex][tex]\sf{x_2 \: = \: 3}[/tex][tex]\sf{y_2 \: = \: 1}[/tex]Substituting the values :
[tex] \longmapsto \: \sf{Slope \: (m) \: = \: \dfrac{1 \: - \: 5 }{3 \: - \: ( - 3)} } \\ \\ \longmapsto \: \sf{Slope \: (m) \: = \: \dfrac{1 \: - \: 5 }{3 \: + \: 3} } \\ \\ \longmapsto \: \sf{Slope \: (m) \: = \: \dfrac{ - 4}{6} } \\ \\ \longmapsto \: \sf{Slope \: (m) \: = \: \cancel\dfrac{ - 4}{6} } \\ \\ \longmapsto \: \bf{ \orange{Slope \: (m) \: = \: \dfrac{ - 2}{3} }}[/tex]
Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?
Answer:
[tex](x-7)^2+(y-2)^2=34[/tex]
Step-by-step explanation:
We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).
First, recall that the equation of a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
Since our center is at (7, 2), h = 7 and k = 2. Substitute:
[tex](x-7)^2+(y-2)^2=r^2[/tex]
Next, the since a point on the circle is (2, 5), y = 5 when x = 2. Substitute:
[tex](2-7)^2+(5-2)^2=r^2[/tex]
Solve for r:
[tex](-5)^2+(3)^2=r^2[/tex]
Simplify. Thus:
[tex]25+9=r^2[/tex]
Finally, add:
[tex]r^2=34[/tex]
We don't need to take the square root of both sides, as we will have the square it again anyways.
Therefore, our equation is:
[tex](x-7)^2+(y-2)^2=34[/tex]
Which type of graph would be best for displaying the frequencies of weights of several juvenile monkeys at a wild animal preserve according to equal-sized weight categories?
A. a bar graph
B. a circle graph
C. a histogram
D. a line graph
Answer:
C. A histogram
Step-by-step explanation:
Histograms are commonly used to denote the frequency of a range of categories of a set of values. Generally, the y-axis represents frequency and the x-axis represents intervals of data based on the given set of values.
Write the expression for 2 added to the product of a number p and 43
Answer:
43p + 2
Step-by-step explanation:
Product of p and 43 = 43p
2 added to the product of p and 43 = 43p + 2
Answer:
Step-by-step explanation:
The product of a number p and 43 means
p * 43 = 43p
And 2 added to the product gives;
43p + 2
However; the expression is 43p + 2.
x + 3 > 70
How do I solve this step by step?
Answer:
x > 67
Step-by-step explanation:
x+3 >70
subtract from each side
x+3-3 > 70 -3
x > 67
Algebra
To solve this, simplify the algebra inequality.
Subtract three from both sides.
x>67
Meaning, x is bigger than 67.