Answer:
64%
Step-by-step explanation:
36% like everything else, leaving a 64%
Answer: 64%
Step-by-step explanation:
9 + 6 + 15 + 6 =36
popcorn = 100- 36% = 64%
64/100 × 84/1
For circle h, jn = 3, nk = x, ln = 2, and nm = 6. solve for x. circle h with chords jk and lm intersecting at n inside the circle 9 1 5 4
The circle is an illustration of intersecting chords.
The value of x is 4
How to determine the value of x?The given parameters are:
Chords: jk and lmPoint of intersection = njn = 3, nk = x, ln = 2, and nm = 6This means that:
jn * nk = ln * nm
So, we have:
3 * x = 2 * 6
Divide both sides by 3
x = 2 * 2
Evaluate the product
x = 4
Hence, the value of x is 4
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What is the value of 1500 divided by (6 squared + 43) x 37
Rewrite : [tex]1500 : (6^{2} +43)[/tex] x 37
Simplify : [tex]1500 : 79[/tex] x 37 = 702.531646...
Round to :
- Nearest whole number : 703
- 1 d.p : 702.5
- 2 d.p : 702.53
- 3 d.p : 702.532
The value of the expression when 1500 divided by (6 squared + 43) x 37 using simplification is 702.531647.
A collection of constants, variables connected using one or more arithmetic operator is called an expression.
The way of writing the complex mathematical problems into simpler forms using certain way is called simplification.
Simplification is solved using BODMAS rule.
The expression 1500 divided by (6 squared + 43) x 37 can be written in mathematical form as:
[tex]\dfrac {1500}{((6)^2 + 43)} \times37[/tex]
This can be simplified as,
[tex]\dfrac {1500}{(36 + 43)} \times37[/tex]
[tex]\dfrac {1500}{79} \times37[/tex]
On further solving, it results to 702.531647.
The value of the given expression is 702.531647.
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Put the same number in each box to make the
calculation correct.
140 + 10 - ___ = _____ - 30
Answer:
The number would be 90
Step-by-step explanation:
140 + 10 - 90 = 60
90 - 30 = 60
60 = 60
Answer: 90
Step-by-step explanation:
Let's use x as a placeholder to the number we are trying to find
[tex]140+10-x=x-30[/tex]
Now we need to isolate x
Step 1) Simplify both sides
[tex]140+10-x=x-30\\150-x=x-30[/tex]
Step 2) Add 30 to both sides
[tex]150-x+30=x-30+30\\180-x=x[/tex]
Step 3) Add x to both sides
[tex]180-x+x=x+x\\180=2x[/tex]
Step 4) Divide both sides by 2
[tex]\frac{180}{2}=\frac{2x}{2} \\90=x[/tex]
Step 5) Sub our value into the original equation and solve
[tex]140+10-x=x-30\\140+10-90=90-30\\150-90=60\\60=60[/tex]
Simplify. (In the problems where you combine fractions with unlike denominators leave the denominators in factored form.)
Answer:
[tex] \dfrac{a}{a - 4} [/tex]
Step-by-step explanation:
You are subtracting fractions, so as usual with fraction subtraction, you need a common denominator. To get a common denominator, you need to factor each denominator.
[tex] \dfrac{3a}{a + 4} - \dfrac{2a^2 - 16a}{a^2 - 16} = [/tex]
Factor the right denominator. It is a difference of two squares.
[tex] = \dfrac{3a}{a + 4} - \dfrac{2a^2 - 16a}{(a - 4)(a + 4)} [/tex]
The left denominator is (a + 4). The right denominator is (a - 4)(a + 4). The LCD is (a - 4)(a + 4), so multiply the left fraction by (a - 4)/(a - 4).
[tex] = \dfrac{3a}{a + 4} \times \dfrac{a - 4}{a - 4} - \dfrac{2a^2 - 16a}{(a - 4)(a + 4)} [/tex]
[tex] = \dfrac{3a^2 - 12a}{(a - 4)(a + 4)} - \dfrac{2a^2 - 16a}{(a - 4)(a + 4)} [/tex]
Be careful when you do the subtraction of the numerators, 3a² - 12a minus 2a² - 16a. 3a² - 12a - (2a² - 16a). The minus of the subtraction changes each sign inside the parentheses, so you end up with 3a² - 12a - 2a² + 16a. Be especially careful with the +16a.
[tex] = \dfrac{3a^2 - 12a - (2a^2 - 16a)}{(a - 4)(a + 4)} [/tex]
[tex] = \dfrac{3a^2 - 12a - 2a^2 + 16a}{(a - 4)(a + 4)} [/tex]
[tex] = \dfrac{a^2 + 4a}{(a - 4)(a + 4)} [/tex]
[tex] = \dfrac{a(a + 4)}{(a - 4)(a + 4)} [/tex]
[tex] = \dfrac{a}{a - 4} [/tex]
solve for z: -42z^2 = 14z
[tex]\\ \rm\Rrightarrow -42z^2=14z[/tex]
[tex]\\ \rm\Rrightarrow 42z^2=-14z[/tex]
[tex]\\ \rm\Rrightarrow 3z^2=-z[/tex]
[tex]\\ \rm\Rrightarrow 3z=-1[/tex]
[tex]\\ \rm\Rrightarrow z=-1/3[/tex]
Another root is 0Answer:
[tex] - \frac{844}{29} z[/tex]
Step-by-step explanation:
I hope to help
Find the surface area of the ball
shown. Use 3.14 for a.
Radius is 16 cm
Ball is sphere
r=16cmSurfAce area:-
4πr^24π(16)^24π(256)1024πcm^23215.36cm^2Answer:
Formula
Surface area of a sphere:
[tex]\sf SA=4\pi r^2[/tex] (where r is the radius)
Given information
[tex]\pi[/tex] = 3.14
r = 16
Final solution
Substitute given values into the equation and solve:
[tex]\sf \implies SA=4 \cdot 3.14 \cdot 16^2[/tex]
[tex]\sf =3215.36 \ cm^2[/tex]
Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!!
IMAGE DOWN BELOW!!
Alexei wants to hang a mirror in his boat and put a frame around it. the mirror and frame must have an area of 19.25 square feet. the mirror is 3 feet wide and 5 feet long. which quadratic equation can be used to determine the thickness of the frame, x? 2x2 8x − 19.25 = 0 3x2 5x − 19.25 = 0 4x2 16x − 4.25 = 0 4x2 16x 15 = 0
The quadratic equation that can be used to determine the thickness of the frame will be B. 3x² + 5x - 19.25 = 0
What is a quadratic equation?It should be noted that a quadratic equation simply means an algebraic expression of the second degree in x.
In this case, the quadratic equation that can be used to determine the thickness of the frame will be 3x² + 5x - 19.25 = 0
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Answer:
The answer is C. 4x2 + 16x - 4.25 = 0.
Step-by-step explanation:
What’s the domain and range?
Answer:
D [-1,3] and R [5,27]
Step-by-step explanation:
I explained the process of finding the domain and range in your previous questions therefore I will only give you the answer for this one.
D [-1,3] or [tex]-1\leq x\leq 3[/tex]
R [5,27] or [tex]5\leq y\leq 27[/tex]
Clare asks Andre to play the following number puzzle:
Pick a number
Add 2
Multiply by 3
Subtract 7
Add your original number
Andre’s final result is 27.
Which number did he start with?
Answer:
The answer is 7.
Step-by-step explanation:
7 + 2 is 9.
9 x 3 =27
27 - 7 =20.
Since the original number is 7 then we add 7 to 20.
7 + 20 = 27.
So, the number he started with is 7.
100 Points!!!! Please help, Will Mark BRAINLIEST!!!!!!
Answer:
Part A: No. Based on the scatter plot, r = 0.01 is not an accurate value for this data, because 0.01 means pratically no corrlation, while the points on the graph are moderately correlatedPart B: you must describe a scenary where a variable is the cause of the number of strawberries picked. See below, the example of rainfall.
Explanation:
1. Part A:
Since the points in the scatter plot show a moderated upward trend, you must expect a correlation coefficient close to ± 0.5. A correlation coefficient of 0.01 is too close to 0, which would mean that the points are almost not correlated at all.
The correlation coefficients, r, measure the strength of the correlation of two variables and they can have values from - 1 to 1.
r = - 1 is a perfect negative correlation: the points will adjust perfectly to a line with negative slope.r = + 1 is a perfect positive correlation: the points will ajdust perfectrly to a line with positive slope.r = 0 means that the variables are not correlated at all.
Hence, the closer to zero, the worse the correlation is, and that is what r = 0.01 means, but the graph shows other thing.
Therefore, the calculated value of r = 0.01 is not accurate for t his scatter plot.
2. Part B.
A causal relationship means that the expllanatory variable (the independent variable) is the cause of the dependent variable.
Hence, you must find a reasonable variable that can be the cause of the number of strawberries picked.
I could imagine the amount of rainfall the week before of harvest.
Thus, the scenario could be:
Amout of rainfall in mm (x) Number of strawberries picked (y)
100 20
50 40
25 80
12.5 160
6.25 320
The amount of rainfall is the cause of the number of strawberries picked, and you could find a model (function) that relates both variables.
The zeroes of a 3rd degree polynomial are 1 and (5 –
i).
Find the remaining zeroes.
-1
:)
-5 + i
no other zeros
5 + i
5+ i
?
Answer:
5 + i
Step-by-step explanation:
the Fundamental theorem of Algebra states that a polynomial of gegree n has n zeros , some of which may be complex.
A polynomial of degree 3 will therefore have 3 zeros
given x = 1 and 5 - i are two of the zeros
Complex zeros occur as conjugate pairs , then
5 - i is a zero then 5 + 1 is also a zero
the 3 zeros are x = 1 , x = 5 - i and x = 5 + i
gary and heather each make potatoes using different recipes the table shows how much potatoes and cheese each person uses.
Answer:
What is the question? Also, your answer looks a bit wrong 1 think t should be 1 oz
Step-by-step explanation:
For every 15 oz potatoes, Garry uses 0.5 oz less cheese than Heather. So Heather's cheesy potatoes have more cheese.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
For Gary's recipe of cheesy potatoes has 15oz of potatoes and 4oz of cheese.
Ratio of potatoes to cheese in Gary's recipe = 15/4
Heather's recipe of cheesy potatoes has 10 oz of potatoes and 3 oz of cheese.
Ratio of potatoes to cheese in Heather's recipe = 10/3
Multiplying with 1.5 in numerator and denominator
Ratio of potatoes to cheese in Heather's recipe = 15/4.5
Thus, for every 15 oz potatoes heather uses 4.5 oz of cheese.
Hence, In Heather's recipe amount of cheese is 0.5 oz more than Garry's recipe per 15 oz. of potatoes.
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Find the slope of the line that
passes through (4, 7) and (2, 10).
Simplify your answer and write it
as a proper fraction, improper
fraction, or integer.
First drop down : 1. Cylinder 2.sphere
Second drop down: 1.divide by 2
2. Divide by 4
3.multiply by w2
Third drop down: 85
100
70
Answer:
Below.
Step-by-step explanation:
To find the volume of the silo find the volum of the hemisphere with radius of 15 feet and add the volume of the cylinder with a radius of 15 feet and a height of (100 - 15) = 85 feet.
The total volume = 1/2 * 4/3 π (15)^3 + π (15)^2 * 85
= 67151.5 ft^3.
Step-by-step explanation:
find the volume of a sphere with a radius of 15 ft and divide by 2 (because there is only half a sphere on top of the silo).
then add the volume of a cylinder with a radius of 15 ft and a height of 85 ft (because we need to deduct the radius of the sphere from the total height to get the height of the cylinder itself).
PLS HELP
1.
Seats in a theater are curved from the front row to the back. The front row has 18 chairs, the second has 26
and the third has 34, and so on.
a.
Write a recursive rule for this series (2 points):
b. Write an explicit rule in simplified form for this series:
Show the steps to simplify. (2 points)
c. Using the explicit formula, find the number of chairs in row 7 (show work) (3 points):
on Voy bob ochote
bu ma'isto
d. The auditorium can hold 12 rows of chairs. Write a sigma notation for this series, and then use either series
formulas to calculate how many chairs can fit in the auditorium. Show all work. (5 points)
The chairs in the auditorium illustrates an arithmetic sequence
The recursive rule is: an = an-1 + 8; a1 = 26The explicit rule is: an = 18 + 8nThere are 74 seats in the 7th row840 chairs can fit the auditoriumThe recursive ruleFrom the question, we have the following sequence:
Seats: 18, 26, 34
Rewrite as:
26 = 18 + 8
34 = 26 + 8
The above means that:
The number of seats on a row is 8 added to the the number of seats on the previous row.
Hence, the recursive rule is:
an = an-1 + 8; a1 = 26
The explicit ruleIn (a), we have:
a1 = 26 and d = 8
The explicit rule is calculated using:
an = a1 + (n -1) * d
This gives
an = 26 + (n - 1) * 8
Expand
an = 26 - 8 + 8n
Evaluate the difference
an = 18 + 8n
Hence, the explicit rule is:
an = 18 + 8n
The number of seats in the row 7This means that n = 7.
So, we have:
a7 = 18 + 8 * 7 = 74
Hence, there are 74 seats in the 7th row
The sigma notationWe have the maximum number of rows to be 12.
So, the sigma notation would be:
[tex]\sum\limits^{12}_{n=1} {18 + 8n}[/tex]
The total number of seats is:
Sn = n/2(2a + (n -1) * d)
This gives
S12 = 12/2(2 * 26 + (12 -1) * 8)
S12 = 840
Hence, 840 chairs can fit the auditorium
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What's the value f x?
[tex]5x-6=3x-8[/tex]
Answer:
-1Step-by-step explanation:
Given equation,
⇒ 5x - 6 = 3x - 8
Subtracting 3x from both sides :
⇒ 5x – 6 – 3x = 3x – 8 – 3x
⇒ 2x – 6 = – 8
Adding 6 to both sides we get :
⇒ 2x – 6 + 6 = – 8 + 6
⇒ 2x = – 2
Dividing both sides by 2 we get :
⇒ 2x/2 = – 2/2
⇒ x = – 1
Therefore,
The value of x is -1Answer:
[tex]\sf \boxed{\bold{x=-1}}[/tex]
Solving Stepwise:
[tex]\dashrightarrow \sf 5x-6=3x-8[/tex]
add 6 on both sides
[tex]\dashrightarrow \sf 5x-6+6=3x-8+6[/tex]
simplify
[tex]\dashrightarrow \sf 5x=3x-2[/tex]
subtract both sides by 3x
[tex]\dashrightarrow \sf 5x-3x=3x-2-3x[/tex]
simplify
[tex]\dashrightarrow \sf 2x=-2[/tex]
divide both sides by 2
[tex]\dashrightarrow \sf \dfrac{2x}{2} =\dfrac{-2}{2}[/tex]
simplify
[tex]\dashrightarrow \sf x =-1[/tex]
Check for the answer:
insert x = -1
[tex]\hookrightarrow \sf 5(-1)-6=3(-1)-8[/tex]
[tex]\hookrightarrow \sf -5-6=-3-8[/tex]
[tex]\hookrightarrow \sf -11=-11[/tex]
L.H.S = R.H.S. Hence the statement x = -1 is correct.1. Consider the pyramid.
(a) Draw and label a net for the pyramid.
(b) Determine the surface area of the pyramid. Show your work.
Answer: 224
Step-by-step explanation:
on the white boards
Answer:
i did it
Step-by-step explanation:
Find the least common denominator of 1/5 and 3/10?
Answer:
20 would be the lowest that both 10 and 5 could go into, and that would make the fractions 4/20 and 6/20.
Answer:
10
Step-by-step explanation:
We need to find the lowest common multiple of teh 2 denominator:
So first let's write the first few multiples of 5:
5,10,15,20,25
Now let's write the first few multiples of 10:
10,20,30,40,50
Since 10 is the first number that appears in both lists this is our answer
Kevin ours more than emily each time they work together. Using this information, complete the table
Sorry for bad quality
Answer:
i believe the last one would be 9 for the number of hours kevin works.
Step-by-step explanation:
Evaluate. 3 x 2/3 x 1/8
Answer:
[tex] \frac{3}{8} \div \frac{2}{3} - \frac{1}{8} [/tex]
Step-by-step explanation:
HOPE IT HELPS (^o^)/
#carryonlearning
find variables x, y, and z
Answer:
Step-by-step explanation:
A teacher is 15 y.o. older than her student. In 15 years, the ratio of their ages will be 3:2. Find their present ages
Answer:
teacher's age: 30
student's age: 15
Step-by-step explanation:
T = 15 + S
from above,
(T+15)/(s+15) = 3/2
by substitution,
(15+S +15)/(S+15) = 3/2
cross multiply,
2(S+30) = 3(S+15)
2S + 60 = 3S + 45
60 = S + 45
s = 15
T = 30
who can answer this help me bro/sis?
Answer: 144 degrees, 136 degrees
Question 1:
The first x should be 144 because a straight line should equal 180, so you just subtract the (left angle or 36 degrees) with 180 to get the opposite angle.
Question 2:
For the second x, add the 2 interior angles and subtract it by 180 or the total sum of the interior angles.
49 + 87 = 136
180 - 136 = 44
Then follow the same steps in the first question.
180 - 44 = 136
Jonathan is making his favorite pasta dish. His mom ate 2/7 of the pasta, and his brother ate 1/6 of the pasta. How much did they eat in all?
Answer:
23/42
Step-by-step explanation:
2/7 = 12/42
1/6 = 7/42
12/42 + 7/42 = 19/42
42/42 - 19/42 = 23/42
Students in Mrs. Anderson’s health class are learning about how exercise affects your heart rate. Twelve students ran around the school track for different lengths of time. Then they measured their heart rates in beats per minute. Heart Rate Record Minutes Heart Rate (bpm) 7 121 8 136 7 122 4 96 3 90 6 120 7 118 4 98 2 84 5 110 7 118 8 128 Find the correlation coefficient of the data. Round to the nearest hundredth
Answer:
While resting, his heart rate is at 60 bpm. After sprinting, his heart rate is at 130bmp. The difference is 130 - 60 = 70
Step-by-step explanation:
i hope this helps
The correlation coefficient of the given data about time and heart rates is 0.98.
What is correlation coefficient?A correlation coefficient is a statistical measure of the degree to which changes to the value of one variable expect change to the value of another.
How to calculate correlation coefficient?We have been given time and heart rates of students in Mrs. Anderson's health class and we have to find the value of correlation coefficient.
The formula by Karl Pearson to calculate correlation coefficient is as under:
Correlation coefficient=
=∑(x-x bar)(y-y bar)/[tex]\sqrt{sum(x-x bar)^{2} } \sqrt{sum(y-y bar)^{2} }[/tex]
We have to calculate figures required to fill in the formula which are:
∑(x-x bar)(y-y bar)=350
∑[tex](x-x bar)^{2}[/tex]=44.67
∑[tex](y-y bar)^{2}[/tex]=2872.25
Correlation coefficient=350/[tex]\sqrt{44.67} \sqrt{2872.25}[/tex]
=350/6.68*53.59
=350/357.98
=0.977
After rounding off to nearest hundred it will be 0.98.
Hence the correlation coefficient of the data about time and heart rate is 0.98.
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.that bar of chocolate was divided into squares. i ate 1/12 of it, then headed downstairs. the next day i ate another 1/12 , then another 1/3. i couldn't help myself. what fraction was left?
Answer:
1/2 of the bar is left
Step-by-step explanation:
1/12 x2= 2/12
2/12+ 1/3=2/12+4/12
6/12=1/2
Dylan has a loyalty card good for a 20% discount at his local pharmacy. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $30.70? Round to the nearest cent.
Answer:
$6.14.
Step-by-step explanation:
$30.70×20%
there will be after the tax and discount.
Please i need help with this
write 2.786 as a fraction in common form