how do i solve 3yi(6- 7yi )
Answer:
18yi+ 21y^2
Step-by-step explanation:
answer 18 yi+21y2
step by step
Jackson has 4 1/2 pounds of salt to fill in containers that hold 2/5 a pounds how many containers can Jackson fill?
Answer:
Step-by-step explanation:
To find the number of containers that Jackson can fill, we need to divide the total amount of salt he has by the amount of salt that each container can hold. We can convert the mixed number of 4 1/2 pounds to an improper fraction:
4 1/2 = 9/2
Next, we can express the amount of salt each container can hold in terms of improper fractions:
2/5 a pounds = 10/25 a pounds = 2/5 a pounds
Now we can set up the division:
(9/2) ÷ (2/5)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(9/2) × (5/2)
Simplifying the fractions, we get:
(9 × 5) / (2 × 2) = 45/4
Therefore, Jackson can fill 45/4 containers with the 4 1/2 pounds of salt. We can convert this improper fraction to a mixed number:
45/4 = 11 1/4
So Jackson can fill 11 1/4 containers with the salt he has. However, since we are dealing with a physical quantity, we need to round down to the nearest whole number of containers, which is 11. Therefore, Jackson can fill 11 containers with salt.
Adi bought a bag for $25 and sold it at a loss of 10%. Find the selling price of the bag.
Answer:
The selling price of the bag is $22.5
Step-by-step explanation:
Buying Price = $25,
Selling Price = ?
Since they sold it at a loss of 10%,
So, they sold it for a price 10% less than the buying price,
or at 90% or 0.9 of the buying price,
so,
Selling Price = (0.9)(25) = $22.5
What is a divided by a% of a?
Worth 100 points
Answer:
Step-by-step explanation:
a ÷ a%
(a)a ÷ (a/100)(a)
a ÷ a2/100
a(100/a2)
100 / a
Answer:
100 / a
Step-by-step explanation:
a ÷ a%
(a)a ÷ (a/100)(a)
a ÷ a2/100
a(100/a2)
100 / a
Rodrigo just became a personal trainer and is finalizing his pricing plans. For one plan, Rodrigo charges $39 for the initial consultation and then $42 per session. For another plan, he charges $54 for the consultation and $39 per session. Rodrigo realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that?
Answer:
5
Step-by-step explanation:
I just did it
∠xangle, x and ∠ � ∠yangle, y are supplementary angles. ∠ � ∠yangle, y measures 10 8 ∘ 108 ∘ 108, degrees. What is the measure of ∠ � ∠xangle, x?
The measure of ∠x is 72 degrees.
If two angles are supplementary, it means that their measures add up to 180 degrees. Let's denote the measure of ∠x as x degrees. Supplementary angles are a pair of angles that, when combined, add up to 180 degrees. In other words, if you have two angles that are supplementary, the sum of their measures will always be 180 degrees.
Given that ∠y measures 108 degrees, we can set up the equation:
∠x + ∠y = 180
Substituting the known value for ∠y, we have:
x + 108 = 180
To find the measure of ∠x, we need to isolate x on one side of the equation. Subtracting 108 from both sides, we get:
x = 180 - 108
x = 72
Therefore, the measure of ∠x is 72 degrees.
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PLZ HELP DUE IN 30 minutes
For the cube first we find the surface on one side which is 3x3=9ft^2
we have 6 sides 9x6=54ft^2
For the pyramid first we find the surface of the base which is 15x15=225in^2
next we find the surface of the sides which is 7*15/2=52.5in^2 52.5*4=210in^2
210+225=435in^2
Answer:
435 inches for pyramid 54ft for cube
Step-by-step explanation:
52.5 x 4=210
15 x 15 = 225
cube 3 x 3 ft equals 9 feet repeat for all 6 faces u get 54ft
Which of the following numbers is not a solution of 6x-11>=4x-13?
a. -2
b. -1
c. 0
d. 1
The number that is not a solution of the inequality
6x - 11 ≥ 4x - 13
Is x = -2, option a.
Which number is not a solution of the inequality?We want to see which of the given numbers is not a solution of the inequality below:
6x - 11 ≥ 4x - 13
To check that, we just need to evaluate the inequality in the given values and see for which value we have a false inequality.
For example, from the first value we will get:
x = -2
6*-2 - 11 ≥ 4*-2 - 13
-12 -11 ≥ -8 - 13
-23 ≥ -21
This is false, thus this is the correct option.
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My bag weighs 4 pounds how many ounces does it weigh
Answer:
The answer is 64 ounces.
Answer:
64 ounces
Step-by-step explanation:
1 pound = 16 ounces
4 * 16 = 64
describe what you must know about a triangle in order to use the tangent ratio
To use the tangent ratio in a triangle, you need to know the lengths of two sides or the measures of two angles in the triangle. The tangent ratio relates the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle.
The tangent ratio is a trigonometric ratio that relates the length of one side of a right triangle to the length of another side. It is defined as the ratio of the length of the side opposite a given angle to the length of the side adjacent to that angle.
In order to use the tangent ratio, you must have knowledge of the triangle's sides or angles. If you know the lengths of two sides of a right triangle, you can use the tangent ratio to find the measure of one of the acute angles in the triangle. Conversely, if you know the measure of one of the acute angles, you can use the tangent ratio to find the ratio of the lengths of the sides in the triangle.
Essentially, to apply the tangent ratio, you need to have sufficient information about the triangle to identify the sides or angles involved in the ratio calculation. This information can be provided in terms of lengths of sides or measures of angles, allowing you to use the tangent ratio to solve for missing values or determine specific relationships within the triangle.
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will give brainly. At the beginning of spring, Austin planted a small sunflower in his backyard. When it was first planted, the sunflower was 25 inches tall. The sunflower then began to grow at a rate of 3 inches per week. How tall would the sunflower be after 6 weeks? How tall would the sunflower be after ww weeks?
The equation of line in slope intercept form can be written as y=mx+b, where m represents the slope and b represents the y-intercept. Which of the following is equivalent to slope intercept form in terms of x?
A. x=y-b/m
B. x=y/m -b
C. x=y+b/m
D. x=y-m-b
Answer:
\(x=\frac{y-b}{m}\), so most likely A
Step-by-step explanation:
\(y=mx+b\\y-b=mx\\\frac{y-b}{m} =x\)
suppose that a flaw in a certain computer chip installed in computers was discovered that could result in a wrong answer when performing a division. the manufacturer initially claimed that the chance of any particular division being incorrect was only 1 in 11 billion, so that it would take thousands of years before a typical user encountered a mistake. however, statisticians are not typical users; some modern statistical techniques are so computationally intensive that a billion divisions over a short time period is not outside the realm of possibility. assuming that the 1 in 11 billion figure is correct and that results of different divisions are independent of one another, what is the probability that at least one error occurs in one billion divisions with this chip? (round your answer to four decimal places.)
In 1 billion, the probability of division being incorrect would be : {1/(11 x 10⁹)²}.
What is probability?In science, the probability of an event is a number that indicates how likely the event is to occur.
Given is that the manufacturer initially claimed that the chance of any particular division being incorrect was only 1 in 11 billion.
The probability of division being incorrect would be -
P{incorrect} = (1/11 x 10⁹)
In 11 billion, the probability of division being incorrect is (1/11 x 10⁹).
Then, in 1 billion, the probability of division being incorrect would be -
{1/(11 x 10⁹)²}
Therefore, in 1 billion, the probability of division being incorrect would be : {1/(11 x 10⁹)²}.
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Answer:
Step-by-step explanation:
0.0869
Slopes. Pls help me with 1-4 tell me the answers thankssss
1. The slope of each object are: a) 0.6. b) 1.375.
2. The slope of the road section is 0.02.
3. No, a wheelchair ramp with a vertical rise of 1.4 m along a horizontal run of 8 m does not satisfy the regulation.
4. The slope of each line segment are: a) 0.6. b) -0.6.
How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
By substituting the given data points into the formula for the slope of a line, we have the following;
Part 1
Slope of a = 3/5
Slope of a = 0.6
Slope of b = 4.4/3.2
Slope of b = 1.375
Part 2.
Slope of road section = 2.5/152
Slope of road section = 0.0165 ≈ 0.02.
Part 3.
Slope of wheelchair ramp = 1.4/8
Slope of wheelchair ramp = 0.0175 ≈ 0.02.
Part 4.
a) The rise for graph a is 3 units.
The run for graph a is 5 units.
Slope of graph a = 3/5
Slope of graph a = 0.6
b) The rise for graph b is -3 units.
The run for graph b is 5 units.
Slope of graph b = -3/5
Slope of graph b = -0.6
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iRe_ cd A To Build A Fire
Which expression shows a way to find 6 x 1,295?
(6 x 12) + (6 x 95)
(6 x 1) + (6 x 2) + (6 x 9) + (6 x 5)
(6 x 120) + (6 x 95)
(6 x 1,000) + (6 x 200) + (6 90) + (6 x 5)
To find 6 x 1,295, you can use the expression (6 x 1,000) + (6 x 200) + (6 x 90) + (6 x 5). Here's a step-by-step explanation:
1. Multiply 6 by each part of the number 1,295:
6 x 1,000 = 6,000
6 x 200 = 1,200
6 x 90 = 540
6 x 5 = 30
2. Add the results from step 1:
6,000 + 1,200 + 540 + 30 = 7,770
So, 6 x 1,295 = 7,770.
An expression, also known as a mathematical expression, is a well-formed, limited, and context-dependent combination of symbols.
A mathematical expression is a sentence that includes at least one math operation and at least two numbers or variables. This mathematical operation can be division, addition, subtraction, or multiplication. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is the expression.
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) Alyssa has 36 books in her library. She bought several books at a yard sale over the weekend. She now has 62 books in her library. How many books did she buy at the yard sale ?
Answer:
26 Books
Step-by-step explanation:
26 + 36 = 62
Sorry I couldn't explan more, but I hope this helps!
Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway. 30x + 30y = 450 20x + 25y = 345 How much more can Paula shovel in 1 minute than Melinda?
Answer:
3 more square feet.
Step-by-step explanation:
x = The amount Melinda can shovel in 1 minute
y = The amount Paula can shovel in 1 minute
So make two equations:
30(x + y) = 450 x + y = 15 x = 15 - y
20x + 25y = 345 4x + 5y = 69
Plug in:
4(15 - y) + 5y = 69
60 - 4y + 5y = 69
y = 9
x = 6
9 - 6 = 3
Answer:
Answer is A
Step-by-step explanation:
Took it on Edg.
Matthew ran 3 miles in 15 minutes at a constant speed. How long would it take him to run 12 miles at the same speed?
Answer:
1 hour
Step-by-step explanation:
Matthew runs 1 mile every 5 minutes at a constant rate. You would have to multiply by 12 on both sides to get 12 miles and 5x12 would equal 60 minutes which is 1 hour.
Answer:
the Answer is 60 miles per hour
help plz will give brainliest
San Diego, California is about 2,683,824 feet away from San Francisco, California. Los Angeles is about 700,000 feet closer to San Francisco than San Diego is. Which of the following could be the actual distance between Los Angeles and San Francisco?
The actual distance between Los Angeles and San Francisco is 19,83,824 feet.
Given that, the distance between San Diego and San Francisco is 2,683,824 feet away and Los Angeles is about 700,000 feet closer to San Francisco than San Diego.
What is the distance?Distance is the total movement of an object without any regard for direction. We can define distance as how much ground an object has covered despite its starting or ending point.
The actual distance between Los Angeles and San Francisco = The distance between San Diego and San Francisco - The difference in distance.
= 2,683,824-700,000
= 19,83,824
Therefore, the actual distance between Los Angeles and San Francisco is 19,83,824 feet.
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3. Quilt square are cut on the diagnal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 34 inches long. What is the side length of each piece
The side length of each piece of quilt is approximately 24.06 inches.
In the given scenario, quilt square is cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 34 inches long. We have to determine the side length of each piece.
In a right triangle, according to the Pythagorean theorem, the sum of the squares of the legs is equal to the square of the hypotenuse.
So, we can use the Pythagorean theorem to find the length of the sides of the triangular quilt pieces.
The theorem states that a² + b² = c². In this case, c = 34 inches.
Let's assume that each quilt square has sides of length x inches.
When the square is cut diagonally, it is divided into two triangles with legs of length x inches.
According to the Pythagorean theorem, the length of the hypotenuse (34 inches) of each triangle is given by:
x² + x² = 34²2x² = 1156x² = 578x = √578 ≈ 24.06 inches
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Solve -2(5x – 3) = 41.
need help
Answer:
x = -7/2
Step-by-step explanation:
-2(5x - 3) = 41
Distribute the -2 inside the parenthesis.
-10x + 6 = 41
Subtract 6 from both sides.
-10x = 35
Divide both sides by -10.
x = 35/-10
Simplify the fraction.
x = -7/2.
Proof:
-2(5x - 3) = 41
Substitute variable.
-2(5(-7/2) - 3) = 41
Multiply 5 and -7/2.
-2(-35/2 - 3) = 41
Turn 3 into a fraction with denominator 2.
-2(-35/2 - 6/2) = 41
Subtract 6/2 from -35/2.
-2(-41/2) = 41
Multiply -2 and -41/2.
41 = 41.
What is 3+3+3x4
Enjoy the points :)
Saying a thanks would be nice
Answer:
18
Step-by-step explanation:
awwww this is so sweet of you! you see this is the type of people we need in the world, kind people like you just wanting to help, thats why I answer questions on brainly not for the points and popularity but to help people out, thank you! <33333
Answer:
If the x is a Times then its 18 but if its not its 3x4+6
Step-by-step explanation:
Grace has 2,640 beads to put on the bracelets she is making. It takes 48 beads to make each bracelet. How many bracelets can Grace make
Answer:
Grade can make 55 bracelets
Step-by-step explanation:
2640/48 = 55
Answer:
55
Step-by-step explanation:
2640 divided by 48
the answer is 55
hii please help asap ill give brainliest thanks
Answer: b
Step-by-step explanation:
Because he establish and strong government in 322 bce and He was followed by his son Bindusara in 298 BCE so this is the answer nd i already did this question and got it right
What are the domain and range of the function f(x)= x^2-3x-28/x+4?
The domain will be D:{x ∈ R| x ≠ 4} and the range will be R:{y ∈ R| y ≠ 11}. Then the correct option is A.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
f(x) = (x² - 3x - 28) / (x + 4)
Simplify the function, then we have
f(x) = (x² - 7x + 4x - 28) / (x + 4)
f(x) = [x(x - 7) + 4(x - 7)] / (x + 4)
f(x) = [(x + 4)(x - 7)] / (x + 4)
f(x) = x - 7
The Domain of the function is all real numbers except 4. And the range of the function is all real numbers except 11.
The domain will be D:{x ∈ R| x ≠ 4} and the range will be R:{y ∈ R| y ≠ 11}. Then the correct option is A.
The diagram is given below.
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Can somebody help me with this question?
Answer:
\(\frac{2}{5}\vec{a}+\vec{b}\)
Step-by-step explanation:
\(\vec{DE}=\vec{DB}+\vec{BE}\)
\(=\frac{3}{5}\vec{OB}+\frac{1}{5}\vec{BC}\) \(\left\{OD:DB=2:3,BE:EC=1:4\right\}\)
\(=\frac{3}{5}\left(\vec{OA}+\vec{AB}\right)+\frac{1}{5}\left(\vec{BA}+\vec{AO}+\vec{DC}\right)\)
\(=\frac{3}{5}\left(\vec{a}+\vec{b}\right)+\frac{1}{5}\left(-\vec{b}-\vec{a}+\vec{3b}\right)\)
\(=\frac{2}{5}\vec{a}+\frac{2}{5}\vec{b}+\frac{3}{5}\vec{b}\)
\(=\frac{2}{5}\vec{a}+\vec{b}\)
I hope this helps you
:)
A box is to be made out of a 10 cm by 20 cm piece of cardboard. Squares of side length cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top. (a) Express the volume V of the box as a function of x. V = cm^3 (b) Give the domain of V in interval notation. (Use the fact that length and volume must be positive.) = ? (c) Find the length L , width W, and height H of the resulting box that maximizes the volume. (Assume that W < or = to L ) L= ?cm W= ?cm H= ? cm (d) The maximum volume of the box is ? cm^3.
(a) The volume V of the box as a function of x is V = 4x^3-60x^2+200x
(b) The domain of V in interval notation is 0<x<5,
(c) The length L , width W, and height H of the resulting box that maximizes the volume is H = 2.113, W = 5.773, L= 15.773
(d) The maximum volume of the box is 192.421 cm^2.
In the given question,
A box is to be made out of a 10 cm by 20 cm piece of cardboard. Squares of side length cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top.
(a) We have to express the volume V of the box as a function of x.
If we cut out the squares, we'll have a length and width of 10-2x, 20-2x respectively and height of x.
So V = x(10-2x) (20-2x)
V = x(10(20-2x)-2x(20-2x))
V = x(200-20x-40x+4x^2)
V = x ( 200 - 60 x + 4x^2)
V = 4x^3-60x^2+200x
(b) Now we have to give the domain of V in interval notation.
Since the lengths must all be positive,
10-2x > 0 ≥ x < 5 and x> 0
So 0 < x < 5
(c) Now we have to find the length L , width W, and height H of the resulting box that maximizes the volume.
We take the derivative of V:
V'(x) = 12x^2-120x+200
Taking V'(x)=0
0 = 4 (3x^2-30x+50)
3x^2-30x+50=0
Now using the quadratic formula:
x=\(\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)
From the equationl a=3, b=-30, c=50
Putting the value
x=\(\frac{30\pm\sqrt{(-30)^2-4\times3\times50}}{2\times3}\)
x= \(\frac{30\pm\sqrt{900-600}}{6}\)
x= \(\frac{30\pm\sqrt{300}}{6}\)
x= \(\frac{30\pm17.321}{6}\)
Since x<5,
So x= \(\frac{30-17.321}{6}\)
x= 2.113
So H = 2.113, W = 5.773, L= 15.773.
d) Now we have to find the maximum volume of the box.
V = HWL
V= 2.113*5.773*15.773
V = 192.421 cm^3
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The diagonals of a rectangle that is not a square are not perpendicular.
Answer:
False, because the lines do intersect at any point since there are no right angles
Step-by-step explanation:
Please help me the picture is above, I will pray for you if you answer. I promise