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.
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.
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:
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
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.
What is the approximate distance between the swing and the slide?
Answer:
Distance of slide = 80 feet. Angle between swing and slide = 30 degrees
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:
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.
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
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
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
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
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.
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.
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
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]
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.
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
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:
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:
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]
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]
5 number summary? Please help this is confusing and please do step by step
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
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
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°
Solve the equation for X. Show all work.
6(-3x - 4) = - 18x + 24
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 :)
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
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.
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