Answer:
1/20
Step-by-step explanation:
To multiply two fractions, you simply multiply their numerators (top numbers) together and multiply their denominators (bottom numbers) together.
So, for 2/5 x 1/8, we have:
(2/5) x (1/8) = (2 x 1) / (5 x 8) = 2/40 = 1/20
Therefore, 2/5 x 1/8 is equal to 1/20.
Multiplying the numerators and denominators directly is the most straightforward method to solve the multiplication of fractions. However, there is another method called cross-multiplication, which you can use to solve this problem as well.
To use cross-multiplication, you multiply the numerator of the first fraction by the denominator of the second fraction, and then multiply the denominator of the first fraction by the numerator of the second fraction.
Then, you simplify the resulting fraction.
So, for 2/5 x 1/8, we have:
(2/5) x (1/8) = (2 x 1) / (5 x 8)
Cross-multiplying, we get:
(2/5) x (1/8) = (2 x 1) / (5 x 8) = (2 x 1) / (5 x 8) = 2/40
Simplifying the fraction 2/40, we can divide both the numerator and denominator by 2, to get:
2/40 = 1/20
Therefore, using cross-multiplication, we get the same answer as before:
2/5 x 1/8 is equal to 1/20.
Determina la pendiente de la recta tangente a la curva de la función g(x)=−x−1−−−−−√3 en el punto (1,0).
Seleccione una:
a. -∞
b. No existe
c. 0
d. 1
Answer:
sa
Step-by-step explanation:
There are 60 new houses being built in a neighborhood. Last month, 1/4 of them were sold. This month, 1/5 of the remaining houses were sold. How many houses are left to be sold.
Answer:12
Step-by-step explanation:I did the math
Help me with this one too
Answer:
2 + 8 -7 = 3
Hope it helps.......
If onetablet of calcum pantothenate contains 0.5 gram how much is contained in 7 tablets? How many tablets are needed to make up 27 gain?
tablets contain grams of calcium pantothenate.
(Type a whole number or a decimal)
Using algebraic equation, the 7 tablets contained calcium pantothenate is 3.5 gram and 27 gram calcium pantothenate contained in 54 tablets.
What is algebraic equation?An algebraic equation, sometimes known as a polynomial equation, in mathematics is a formula of the form P=0, where P is a polynomial with coefficients in some field, typically the field of the rational numbers.
A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation. A variable, coefficients, and constants make up an algebraic equation in most cases.
Using algebraic equation, the 7 tablets contained calcium pantothenate is 3.5 gram and 27 gram calcium pantothenate contained in 54 tablets.
What is algebraic equation?An algebraic equation, sometimes known as a polynomial equation, in mathematics is a formula of the form P=0, where P is a polynomial with coefficients in some field, typically the field of the rational numbers.
A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation. A variable, coefficients, and constants make up an algebraic equation in most cases.
Given that
1 tablet contain calcium pantothenate = 0.5 gram
7 tablet contain calcium pantothenate = 7 x 0.5 = 3.5 gram
let x tablets contain 27 gram calcium pantothenate. So
x*0.5 = 27
x= 27 / 0.5 = 54 tablets
So that the 7 tablets contained calcium pantothenate is 3.5 gram and 27 gram calcium pantothenate contained in 54 tablets.
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What value of y makes the statement true? -6(y+15)=-3+6
VX
Mr. Chang's class has 28 students, 7 of whom are girls. Which equation shows how to determine the number of girls
in Mr. Chang's class?
PLEASE HELP
Regular hexagon ABCDEF is inscribed in circle X and has an apothem that is 6√3 inches long. Use the length of the apothem to calculate the exact length of the radius and the perimeter of regular hexagon ABCDEF. In your final answer, include your calculations.
The exact length of the radius of regular hexagon ABCDEF:
The exact length of the perimeter of regular hexagon ABCDEF:
written answer
Radius: 6√3 inches. Perimeter: 72 inches.
The exact length of the perimeter of regular hexagon ABCDEF:
To find the perimeter of a regular hexagon, we need to multiply the length of one side by 6 since a hexagon has six equal sides. The length of one side can be determined using the formula:
Side length = 2 * apothem * tan(π/6)
Substituting the given apothem length of 6√3 inches, we have:
Side length = 2 * (6√3) * tan(π/6)
Simplifying the equation:
Side length = 12√3 * √3/3
Side length = 12 inches
Now, we can calculate the exact length of the perimeter:
Perimeter = Side length * 6
Perimeter = 12 inches * 6
Perimeter = 72 inches
Therefore, the exact length of the perimeter of regular hexagon ABCDEF is 72 inches.
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ILL NAME U AS BRAINLIEST!
find the radius to the nearest hundredth, given v=pi r ^2 h
a) r = 6.86 cm
b) r = 12.17 cm
c) r = 5.72
d) r = 47.11 cm
A circle has a diameter of 12 yd. What is its circumference?
Use 3.14 for 11, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
circumference = 37.68 yd
Step-by-step explanation:
12 x 3.14 = 37.68 yd
can someone help me? I can't get rid of this test and it won't let me do it, I really don't know what to do and my grades will start to go down because I can't do it. (sorry if none of this makes sense)
Answer:
Step-by-step explanation:
There is no question to help with? Maybe ask your teacher or computer guy.
Jess spins a pointer 25 times and finds an experimental probability of the pointer landing on 3 to be or 16%. The theoretical probability of the spinner landing on 3 is or 25%. Why might there be a significant difference between the theoretical and experimental probabilities?
Answer:
The experimental probability depends on how many times you're spinning it and theoretical probability is stating what "would" happen if you're only spinning it once. After you get the theoretical probability, you would multiply that percentage by 25 to get the experimental probability percentage.
Step-by-step explanation:
The experimental probability depends on the number of times the experiment is conducted. The result from a theoretical probability is what would happen if the experiment is done once.
What is the probability?Probability determines how likely a stated event would occur. The probability the event occurs is 1 and the probability that the event does not occur is 0. Experimental probability is based on the result of an experiment that has been carried out multiples times
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please help me with i’ll give you brainlist
The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median.
What is whisker plot?A whisker plot, also known as a box and whisker plot, is a graphical representation of a set of numerical data through their quartiles. The plot consists of a box with whiskers extending from the top and bottom, showing the spread and distribution of the data. The five-number summary, which includes the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value, is used to create the whisker plot.
Here,
To create a box and whisker plot, we need to find the five-number summary of the data set, which includes:
Minimum value: the smallest value in the data set.
First quartile (Q1): the median of the lower half of the data set.
Median: the middle value in the data set.
Third quartile (Q3): the median of the upper half of the data set.
Maximum value: the largest value in the data set.
First, we need to put the data in order:
10, 12, 14, 15, 16, 18, 22, 24, 25, 28
The minimum value is 10 and the maximum value is 28.
The median is the middle value, which is 18.
To find the first quartile, we need to find the median of the lower half of the data set, which is:
10, 12, 14, 15, 16
The median of this lower half is 14.
To find the third quartile, we need to find the median of the upper half of the data set, which is:
22, 24, 25, 28
The median of this upper half is 24.
So, the five-number summary for this data set is:
Minimum value = 10
First quartile (Q1) = 14
Median = 18
Third quartile (Q3) = 24
Maximum value = 28
Now we can use this information to create the box and whisker plot:
| |
----+----+----+----+----
10 14 18 24 28
The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median. The whiskers extend from the box to the minimum and maximum values in the data set.
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PLEASE I NEED THIS ASAP PLEASE
The correct option is the second one:
i) right, right, left.ii) Undefined.What can we say about the calculation?We know that:
x > 0z > 0y < 0We have the operation:
x - y + (-z)
Notice that because y is negative, then -y is positive.
Because z is positive, -z is negative.
Then we have:
positive + positive + negative
Or, in the number line:
right, right, left.
Second question:
Can we conclude the sign of the outcome?
No, we can't, the sign will depend on the values of x, y, and z.
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Answer:The correct option is the second one:i) right, right, left.ii) Undefined.
Step-by-step explanation:
6.X + 4 using the algebra
tiles.
What tiles need to be added to both sides to remove the
smaller x-coefficient?
What tiles need to be added to both sides to remove the
constant from the right side of the equation?
What is the solution?
Answer:
i
Step-by-step explanation:
is
coooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooool
Answer:
What tiles need to be added to both sides to remove the smaller x-coefficient?
✔ 5 negative x-tiles
What tiles need to be added to both sides to remove the constant from the right side of the equation?
✔ 4 negative unit tiles
What is the solution?
✔ x = –6
Step-by-step explanation:
cos 60 degrees=1/2 and sin 60 degrees = square root 3/2 true or false
Answer:
cos 60 degrees=1/2 and sin 60 degrees = square root 3/2
The answer it's true.
If a wheelchair access ramp has to have an angle of elevation no more than 4.8 degrees and it has to rise 18 inches above the ground, how long must the ramp be?
The wheelchair access ramp must be 216.09 inches long.
To find the length of the wheelchair access ramp, we can use trigonometry.
The tangent function relates the angle of elevation to the ratio of the opposite side (height) to the adjacent side (length of the ramp).
Let's denote the length of the ramp as "x".
The height of the ramp is given as 18 inches.
Using the tangent function:
tan(angle of elevation) = height/length of the ramp
tan(4.8 degrees) = 18/x
To solve for x, we can rearrange the equation:
x = 18 / tan(4.8 degrees)
Using a calculator to evaluate the tangent of 4.8 degrees:
x = 18 / 0.08331
x= 216.09
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3 3/4÷2 1/12? Neeeeddddddd answererererrrrrrrr
Answer:
1.8
Step-by-step explanation:
Hope this helps!!!
A bag of baseballs costs $12. There are 15 balls in the bag. Another bag of baseballs costs $15 for 20 balls. Which bag prices individual baseballs lower?
Answer:
Step-by-step explanation:
For the first bag:
Price of the bag = $12
Number of balls in the bag = 15
Price per ball = Price of the bag / Number of balls
Price per ball for the first bag = $12 / 15 = $0.8
For the second bag:
Price of the bag = $15
Number of balls in the bag = 20
Price per ball = Price of the bag / Number of balls
Price per ball for the second bag = $15 / 20 = $0.75
Comparing the prices per ball, we find that the second bag has a lower price per baseball. Therefore, the second bag offers a better price for individual baseballs compared to the first bag.
Answer:
Step-by-step explanation:
To find out which bag prices individual baseballs lower, we can divide the total cost of each bag by the number of balls in the bag. This will give us the price per ball for each bag.
For the first bag, the price per ball is $12 / 15 = $0.80.
For the second bag, the price per ball is $15 / 20 = $0.75.
Therefore, the second bag prices individual baseballs lower.
In a survey 18 out of 50 people say their favorite type of movie is an action movie write the value as a percent
Answer:
The percentage of 18 people out of 50 is 36 %
Step-by-step explanation:
The percentage refers to the per hundred or hundredths and is ended with the symbol %. By dividing two amounts, ratios and percentages are both used to compare the two amounts.
The formula for finding the percentage is to divide the value by the total value and then multiply the value by 100.percentage = ( given value / total value ) x 100so,
The given value is 18 people.The total value is 50 people.percentage = ( 18 / 50 ) x 100 = ( 0.36 ) X 100 = 36 %Therefore the percentage of 18 people out of 50 people is 36 %.
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Evaluate the given expression for x=5
x² + 3x - 2
(5)² + 3 × 5- 2
25 + 15 - 2
40 - 2
38...
The length of one leg of a right triangle is 3 feet more than the other leg. If the hypotenuse is 15 feet, find the length of each leg
Answer:
9 and 12
Step-by-step explanation:
Pythagorean Theorem. One of the most common Pythagorean triples is 3, 4, 5 with 3 and 4 the legs and 5 the hypoenuse. That will make 9, 12, 15 anotther trible because you are tripling the side lengths. 12-9=3 so this triangle works.
Make a frequency table using five classes.
class 31-38 39-46 47-54 55-62 63-70
f
11
24
15
7
3
Then estimate the mean and sample standard deviation using the frequency table. (Round s to two decimal places.)
Answer: C
Step-by-step explanation:
10. How much would you need to deposit in an account now in order to have $20,000 in the account in 4 years? Assume the account earns 5% interest.
Answer:
20000*4*5/100=4000
Step-by-step explanation:
Hope this helps!
QUESTION 12
Solve the equation -8x+4y=24 for y.
Answer:
2x+6
Step-by-step explanation:
4y=8x+24
y=2x+6
Find the value of y if the line through the two given points is to have the indicated slope. (-4,y) and (-5,1), m= 2
Y= ?
Answer:
Y= 1/2
Step-by-step explanation:Equation of a straight line:Gradient= y2-y1/x2 -x2=m
Given that:
y2=1
y1=Y
x1=-4
x2=-5
1-y/-4-(-5) =2
1 - y/-4+5 =2
cross multiply
2(1-y) = -4+5
2-2y =1
-2y =1-2
-2y = -1
divide both sides by the coefficient of y
Y = 1/2
10 POINTS PLS ANSWER
Answer:
Step-by-step explanation:
FGE is a straight line, and striaght lines measure 180 by definition. Therefore, x, angle BGA, and 55 all add together to equal 180. But notice that x and 55 are both marked with a single swish, meaning they are the same measure. So:
180 - 55 - 55 = x, so
x = 70
7. An aircraft flies 400 km from a point O on a bearing of 025°
and then 700 km on a bearing of 080° to arrive at B.
a) How far north of O is B?
b) How far east of O is B?
Answer:
484 km north858 km eastStep-by-step explanation:
You want the distances north and east of the origin that a plane ends up after flying 400 km at a bearing of 25°, then 700 km at 80°.
Coordinate transformationFor some distance r and bearing angle θ, the (north, east) coordinates will be ...
(north, east) = (r·cos(θ), r·sin(θ))
ApplicationFor the trip at hand, the final coordinates of the plane are ...
a)Distance north = (400 km)cos(25°) +(700 km)cos(80°)
= 362.52 km +121.55 km = 484.07 km
B is about 484 km north of O.
b)Distance east = (400 km)sin(25°) +(700 km)sin(80°)
= 169.05 km +689.37 km = 858.41 km
B is about 858 km east of O.
__
Additional comment
Rectangular coordinates of a point at distance r from the origin and an angle θ measured CCW from the +x axis are given by ...
(x, y) = (r·cos(θ), r·sin(θ))
You may notice the similarity to the coordinates described above. That is why we can use a calculator the way we have in the attachment. The imaginary part of the complex number represents the distance east.
An oil company has a cylindrical drum with a capacity of 806 cubic yards. To construct this drum, the
cost of material for the top of the drum is $2 per square yard, $2 per square yard for the bottom of
the drum, and $17 per square yard for the side wall of the drum. What dimensions must this
cylindrical drum have to be constructed at minimum cost?
The measurements of the cylindrical (round and hollow) drum that minimize the fetched of development are roughly 10.19 yards by 2.46 yards.
How to Solve the Problem?Let's expect that the round and hollow drum includes a stature of h and a span of r.
The volume of a barrel is given by: V = πr^2h.
We know that the drum includes a capacity of 806 cubic yards, so able to compose:
πr^2h = 806
We need to play down the taken a toll of building the drum, which is given by the entirety of the fetched of the beat, foot, and side divider.
The zone of the beat and foot of the drum is given by: A = πr^2.
The fetched of fabric for the beat and foot is $2 per square yard, so the taken a toll of the best and foot is:
C_topbottom = 2A = 2πr^2
The cost of fabric for the side divider is $17 per square yard, and the region of the side divider is given by:
A_side = 2πrh
The whole fetched of building the drum is in this manner:
C = C_topbottom + C_side = 2πr^2 + 17(2πrh) = 2πr^2 + 34πrh
Presently we are able utilize the condition for the volume of the drum to kill h from the fetched condition:
h = 806/(πr^2)
Substituting this expression for h into the taken a toll condition, we get:
C = 2πr^2 + 34πr(806/(πr^2)) = 2πr^2 + 27404/r
To discover the least fetched, we got to take the subordinate of the fetched condition with regard to r and set it rise to to zero:
dC/dr = 4πr - 27404/r^2 =
Fathoming for r, we get:
r = (27404/(4π))^(1/3) ≈ 10.19 yards
Substituting this esteem of r back into the expression for h, we get:
h = 806/(π(10.19)^2) ≈ 2.46 yards
Hence, the measurements of the round and hollow drum that minimize the fetched of development are roughly:
Span: 10.19 yards
Stature: 2.46 yards
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Robert wants to have more than 50 dollars in his wallet. He currently has 18 dollars. Write and solve an inequality to find how much more Robert should put in his wallet.
Please help! It's due today :(
Answer:
Robert should put $32 in his wallet.
Step-by-step explanation:
18 + x > 50
-18 -18
x > 32
Hope this helps!
15 POINTS!!!! BRAINLIEST FOR THE FIRST ANSWER!!! Solve 3-x/2≤18
Answer:
\(x\geq -30\)
Step-by-step explanation:
Work to isolate x on one side of the inequality:
\(3-\frac{x}{2} \leq 18\\3-18\leq \frac{x}{2} \\-15\leq \frac{x}{2}\\-30 \leq x\)
Therefore the answer is all x values larger than or equal to -30
\(x\geq -30\)