Answer:
2(x-3)
Step-by-step explanation: 2 is being multiplied by the difference (subtraction) of x-3.
sasha needs 3/4 cup of flour to make a batch of muffins and 1 2/3 cups of flour to make loaf of bread. How many cups of flour does sasha need to make both a batch of muffins and a loaf of bread
Using the addition operation, the number of cups of flour Sasha needs to make both a batch of muffins and a loaf of bread is 2⁵/₁₂ cups.
How is the number or quantity determined?We can use the addition operation to determine the quantity of flour that Sasha needs.
We add the cups of flour needed for both items to determine the total quantity.
The quantity of flour for making a batch of muffins = 3/4 cups
The quantity of flour for making a loaf of bread = 1²/₃ cups
The total quantity of flour needed for making a batch of muffins and a loaf of bread = 2⁵/₁₂ cups (³/₄ + 1²/₃)
(³/₄ + 1²/₃)
= ³/₄ + ⁵/₃
= (9 + 20)/12
= 29/12
= 2⁵/₁₂
Thus, to make a batch of muffins and a loaf of bread, Sasha needs 2⁵/₁₂ cups of flour.
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2 Justin had 3 rolls of ribbon. He used of a roll of ribbon to tie a parcel and 5 of another roll of ribbon to tie a present. How many rolls of ribbon did he use in all? How many rolls of ribbon did Justin have left?
Answer:1 roll of ribbon left
Step-by-step explanation:
Ayuda porfa doy corona
3/4 > 1/5
6/9 > 2/5
6/7 > 3/10
2/11 < 4/9
Answer:
3/4 > 1/5
6/9 > 2/5
6/7 > 3/10
2/11 < 4/9
Step-by-step explanation:
Manera facil de comparar fracciones:.
3/4 1/5
Multiplica el denominador (numero abajo) de cada fraccion por el numerador de la otra fraccion y escribe el producto arriba del numerador.
El numero mas grande esta arriba de la fraccion mas grande.
5 x 3 = 15 arriba de 3/5
4 x 1 = 4 arriba de 1/5
Como 15 > 4, 3/4 > 1/5
30 18
6/9 2/5
6/9 > 2/5
60 21
6/7 3/10
6/7 > 3/10
18 44
2/11 4/9
2/11 < 4/9
Simplify the following expression: -16 -8/2 + 25 ÷ 5 + 1
A. -18
B. 6
C. 10
D. -6
Using the following incomes and expenses information, calculate the total debt-to-income ratio: Employment wages: $115,000 Interest earned: $950 Dividends earned: $1,200 Mortgage payments: $38,600 Auto loan payments: $3,300 Student loan payments: $9,000 Taxes: $31,050 Utilities: $3,600 Personal savings: $12,000 Gas: $3,500 Groceries: $7,200 Entertainment: $6,000 Charitable donations: $500 Clothing: $1,500 Travel: $1,000
PLEASE HELP
A fly makes a bee-line from one corner of Mrs. Tomasi's room
to the opposite corner. The room is 30x 32 feet and 9 feet tall.
What angle is the angle of elevation of the flight path if he flies
straight there?
The angle of elevation of the fly's flight path is approximately 57.74 degrees.
What is hypotenuse?In a right triangle, the hypotenuse is the side opposite the right angle. It is always the longest side of the triangle and is the side opposite to the 90 degrees angle. It is also the side that forms the "hypotenuse" of the right triangle.
What is Pythagorean theorem?The Pythagorean theorem is a fundamental result in Euclidean geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. It can be written as c^2 = a^2 + b^2, where a and b are the legs of the triangle and c is the hypotenuse. This theorem can be used to find the length of the hypotenuse of a right triangle when the lengths of the other two sides are known.
Let's call the angle we're trying to find "theta". The horizontal distance is 30 feet, the vertical distance is 32 feet and the height is 9 feet.
Using pythagorean theorem:
$c^2 = a^2 + b^2$
$c = \sqrt{30^2 + 32^2}$ = $\sqrt{900 + 1024}$ = $\sqrt{1924}$
Now we can use the tangent function:
$\tan(\theta) = \frac{opposite}{adjacent} = \frac{32}{30}$
Now we can find the angle, theta, by using the inverse tangent function:
$\theta = \tan^{-1}(\frac{32}{30})$
The angle of elevation of the fly's flight path is approximately 57.74 degrees.
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40mph in feet per secend
Answer:
58.8 feet per second
CONVERTING MPH TO FPS
If you are moving at the rate of 40MPH, how many feet do you travel in a second? At 40 miles per hour, you are traveling 58.8 feet per second. To convert miles per hour to feet per second, multiply the miles per hour figure by 1.47. There are 5280 Feet in a mile and 3600 Seconds in an hour.
Write an equation of a line that passes through the point (3, 2) and is parallel to the line y = 3x - 4.
y = 3x + 7
y = 3x - 7
y= 1/3x+2
y=1/3x-2
Answer:
[tex]y=3x-7[/tex]
Step-by-step explanation:
Parallel Lines:Parallel lines, by definition, never intersect. They have the same slope but different y-intercepts (otherwise they would be the same line) on a graph.
Slope-Intercept Form:
Slope-Intercept form is expressed as: [tex]y=mx+b[/tex], where
[tex]m = \text{slope}[/tex][tex]b = \text{y-intercept}[/tex]This form is super useful for linear equations as it gives us the two key features of a linear equation. It's how each of the options are formatted, so we know we'll have to use this form.
Generally Finding a Parallel Line:The line is parallel to [tex]y=3x-4[/tex], meaning it has a slope of 3, but also a y-intercept other than -4 (otherwise they would be the same equation).
So we can generally form an equation: [tex]y=3x+b\text{, }b\ne-4[/tex], so we can plug any value for "b" here (except -4) and have a parallel line
Finding a line passing through a point:Since we not only want to find a parallel line, but also one that passes through a specific point, we can use our general parallel equation: [tex]y=3x+b\text{, }b\ne-4[/tex], and plug in known values. We of course already have the slope plugged in, but now we have a (x, y) coordinate, which we can plug in for x and y in the equation.
Original Equation:
[tex]y=3x+b[/tex]
Point given: (3, 2), substitute in x=3 and y=2:
[tex]2=3(3)+b[/tex]
Simplify:
[tex]2=9+b[/tex]
Subtract 9 from both sides:
[tex]-7=b[/tex]
Now we can take this value. and plug it back into the general equation:
[tex]y=3x+(-7)\implies y=3x-7[/tex]
Now we have our answer!
Use the drawing tools to form the correct answer on the graph.
Plot function g on the graph.
On solving the provided question, we cans ay that - in given inequality equation to -7 < x < -2; -2 < x < 3
What is inequality?A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.
-7 < x < -2
-2 < x < 3
and 3 > x > 8
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Mike went on a bicycle trip. Every 4 days he travels 230 miles.
Create a proportional table comparing miles traveled to days spent traveling.
Calculating the ratio between each pair of values in a table allows you to determine whether a proportional relationship is present. The table depicts a proportional relationship if all of those ratios are the same.
How should an equation for a proportional table be written?y = k x, where is the proportionality constant, is the equation that depicts a proportional relationship, or a line. Find k and create the equation by using k = y x from a table or graph. Tables, graphs, and equations can all be used to depict proportional relationships.
How should a proportional relationship be written?The equation y = kx represents a proportional relationship between two quantities y and x that have the same proportionality constant, k.
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A 969 acre wildlife preserve has 19 cheetahs. About how many acres does each cheetah have to itself, if each cheetah roams the same number of acres?
By taking a quotient, we will see that each cheetah has around 51 acres for itself.
About how many acres does each cheetah have to itself?If we assume that the cheetahs are evenly distributed along the whole area, then the number of acres that each cheetah has to itself is equal to the quotient between the total area, and the total number of cheetahs.
There are 969 acres and 19 cheetahs, then the quotient is:
969/19 = 51
That is the number of acres that each cheetah has for itself.
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is a measure of behaviors by producers and consumers in response to changes in price.
Answer: The statement you've provided describes the economic concept of elasticity. Elasticity is a measure of how responsive the quantity demanded or supplied of a good or service is to a change in its price. It measures the responsiveness of the consumers' and producers' behaviors to changes in price, in other words, how sensitive the consumers or producers are to changes in the good or service prices.
There are different types of elasticity, such as price elasticity of demand and price elasticity of supply. Price elasticity of demand measures how much the quantity demanded of a good changes in response to a change in its price. If a good has a high price elasticity of demand, then a small change in its price will result in a large change in the quantity demanded of the good. On the other hand, price elasticity of supply measures how much the quantity supplied of a good changes in response to a change in its price. A good with a high price elasticity of supply will see a large increase in the quantity supplied in response to a small price increase.
Elasticity is a very important concept in economics because it helps to understand how consumers and producers will react to changes in prices and how it would affect the overall economy.
Step-by-step explanation:
95 POINTS!!! To increase business, the owner of a shoe store is running a promotion in which a customer's bill can be selected at random to receive a discount. When a customer's bill is printed, a program in the cash register determines randomly whether the customer will receive a discount on the bill. The program was written to generate a discount with a probability of 0.15; that is, 15% of the bills get a discount in the long run. However, the owner is concerned the program is incorrect and is not generating the intended long-run proportion of 0.15.
The owner selects a random sample of bills and finds that only 12% of them received a discount. A confidence interval for p, the proportion of bills that will receive a discount in the long run, is 0.12 ± 0.05, and all conditions for inference are met.
Consider the confidence interval 0.12 ± 0.05.
Part A: Does the confidence interval provide convincing statistical evidence that the program is not working as intended? Justify your answer. (3 points)
Part B: Does the confidence interval provide convincing statistical evidence that the program generates the discount with a probability of 0.15? Justify your answer. (2 points)
Part C: A second random sample of bills is taken that is six times the size of the original sample. In the second sample, 12% of the bills received the discount. Determine the value of the margin of error based on the second sample of bills used to compute an interval for p with the same confidence level as that of the original interval. (2 points)
Part D: Based on the margin of error in part C that was obtained from the second sample, is the program working as intended? Justify your answer.
An area surrounding a measurement that indicates how accurate it is called a confidence interval.
Let X = The proportion of n randomly selected consumers who receive the discount. So, X = B(n, p), where p is the likelihood that a consumer will receive the discount.
Back-up Theory 100(1 - α) % Confidence Interval for the population proportion, p is:
p ± Zα/2[√{P(1 –p)/n}] ……(1)
where
Zα/2 is the upper (α/2)% point of N(0, 1),
pcap = sample proportion, and
n = sample size.
One can conclude with 100(1 - )% confidence that the population proportion, p, is p if a 100(1 - )% Confidence Interval for p holds a specific hypothesized value of p…………. (2)
Now to work out the solution,
The given confidence interval is: 0.12 ± 0.05 i.e., [0.07, 0.17] or [7%, 17%]……………………. (3)
for Part (a)
equation (2) and (3), [7%, 17%] holds 15%. Hence the statement is NOT valid.
for Part (b)
equation(2) and (3), [7%, 17%] holds 15%. Hence the statement is valid.
For Part (c)
Margin of error is: Zα/2[√{P(1 –P)/n}]
If the sample sizes under Part (c) and (a) are respectively, n2 and n1, the ratio of respective margin of errors would be
[Zα/2.√t{P(1 –P)/n2}]/[Zα/2√{P(1 –P)/n1}]
= √(n1/n2)
= 1/√6 [given the second sample size is 6 times the first sample size]
= 0.4082
= > the margin of error under Part (c) = the margin of error under Part (c) x 0.4082
= 0.05 x 0.4082
= 0.020.
Thus, the margin of error when the sample size if 6-fold is 0.020.
For Part (d)
The revised Confidence Interval from Part (c) is 0.12 ± 0.02 or [0.10, 0.14], which does not hold 0.15 as a result, according to (2), the program is NOT operating as anticipated.
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What is the probability of tossing a coin and getting heads three times in a row?
What is the chance that the next toss will be heads? What is the chance that the next toss will be tails?
The probability of tossing 3 heads in a row is P = 0.125, and after that, because the events are independent, the probability of getting heads (or tails) still is p = 0.5
How to find the probability?Assuming that we have a fair coin, we assume that both outcomes have the same probability, so:
P(tails) = 0.5
P(heads) = 0.5
Then the probability of getting heads 3 times in a row, is the product of the probability of getting heads 3 times, this will be:
P(3 heads) = 0.5*0.5*0.5
P(3 heads) = 0.5^3
P(3 heads) = 0.125
Now, after this point, what is the probability of getting heads or tails?
Remember that each toss of the coin is independent of the previous one, so the probability of getting tails still is 0,5, and the same for the probability of getting heads.
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Solve x^3 + x - 4 = 0, leaving your answers correct to 2 decimal places.
The solution to the equation x³ + x - 4 = 0 is x = 1.38
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
x^3 + x - 4 = 0
Express the exponents as proper superscript
So, we have the following representation
x³ + x - 4 = 0
Next, we solve the equation using a graph
i.e. we plot the graph of x³ + x - 4 = 0
See attachment for the graph of x³ + x - 4 = 0
The points where the graph of x³ + x - 4 = 0 crosses the x-axis are the solution
In this case, the point is 1.38
Hence, the solution is x = 1.38
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(2m + 1) * x ^ 2 - (2m + 5) * x + (2m + 1) = 0
Answer:
(2m + 1) * x ^ 2 - (2m + 5) * x + (2m + 1) = 0
2mx^2+x^2-2mx+5x+2m+1=0
3mx^2+5x+1=0
That's as far as you can get simplifying it.
Step-by-step explanation:
Can someone help? I answered it, but I want second opinions.
Tim worked for a total of 7 and half hours on Monday and earned $56.25 gross pay.
What is gross pay and net pay?Prior to payroll deductions, earned wages are referred to as gross pay. Employers utilize this amount—$60,000 per year or $25 per hour—when talking to employees about pay. Additionally, the federal and state income tax brackets sometimes refer to gross salary.
The amount of pay that employees get after payroll deductions varies; some may be optional, while others may be required.
Given, On Monday of his time card Tim clocked in at 8:15 am and clocked out at 4:15 pm.
So, The total number of hours she worked is 8 hours, 8:15 to 12:15 is 4 hours, and another four hours.
Also given the time he took for lunch is half an hour.
Therefore, The total hour he worked is 7:30 hours.
He earns $7.5 per hour so his gross pay for Monday is $(7.5×7.5).
= $56.25.
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please help!!! HURRY!!
please help!!! HURRY!!
The recipe Troy is using calls for 1 cup of cocoa. Troy added another
cup. What was the percent of change?
The percent of change can be calculated by taking the difference between the new value and the original value, divided by the original value, and then multiplying by 100 to express the result as a percentage.
In this case, the original value is 1 cup of cocoa and the new value is 2 cups of cocoa (since Troy added another cup). The difference between the two values is 1 cup.
So the percent of change would be:
(1 / 1) * 100 = 100%.
This means that the quantity of cocoa increased by 100% by adding 1 cup cocoa.
A linear relationship is given in the table.
X-2
y-12-7-238
What is the slope of the relationship?
05
0-5
O
-10 12
01/130
5
0_1
5
The slope of the relation is 1/4
What is the slope of the table?You should know that slope is the rate of change of y with respect to x. slope is denoted by change in y over change in x
The table of values is given as:
x −2 −1 0 1 2
y −13 −9 −5 −1 3
The slope is calculated as:
Slope = y₂ - y₁/x₂ - x₁
So, we have
Slope = 2 - 1/3 + 1
Evaluate the like terms
Slope = 1/4
In conclusion, the slope of the relation is 1/4
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n x (5 + 3) = (6 x 5) + (6 x 3) write the missing number.
Answer:
6 is the missing number
Step-by-step explanation:
Solve what is inside of the parenthesis, then evaluate.
N x (8) = (30) + (18)
8N = 48
Solve for N.
N = 48/8
N = 6
Shirt Prices
$50, $35, $48,
$31, $34
What is the median price of the five shirts?
Answer: 35 would be the median
Step-by-step explanation: Put the numbers in order and whichever one is the middle value is the median
Answer:
35
Step-by-step explanation:
The median is the middle price when listed from smallest to largest
31, 34, 35, 48, 50
The middle price is 35
The median is 35
The amount of time in seconds, t, it takes for a bungee jumper to free fall is given by the function t equals the square root of the quantity d over 16 end quantity comma where d represents the distance that the object falls, in feet. If a bungee jumper free falls for 5 seconds, how far does the jumper fall? (5 points)
400 feet
160 feet
6,400 feet
80 feet
If the amount of time in seconds, t, it takes for a bungee jumper to free fall is given by the function t equals the square root of the quantity d over 16. The distance the jumper fall is: A 400 feet.
How to find the distance?Using this formula to find the distance by solving for d
t=√d/q
Where:
t = Time = 5 seconds
d = Distance = ?
q = Quantity = 16
So,
5 seconds=√d/16
d=16x5²
d=16 × 25
d= 400 feet
Therefore we can conclude that the correct option is A.
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if you earn 3250 over the 10 year period, how much will be in the account at the end of the 10 year period?
If earning 3250 per month over 10year period, At the end of 10th year, the amount on the account will be 390,000
What is multiplication?To multiply means to add equal groups. When we multiply, the number of things in the group increases. The two factors and the product are parts of a multiplication problem. In the multiplication problem, 6 × 9 = 54, the numbers 6 and 9 are the factors, while the number 54 is the product.
The amount earned In a month is 3250.
There are 12 months In a year.
The total month in 10 years = 10× 12 = 120 months
The total amount in the account for 10years = 120×3250 = 390,000
Therefore there will be 390000 in the account at the end of 10th year.
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What’s does 1.56x-7.8 equal
Answer:-12.168
Step-by-step explanation: multiply it regularly, then count how many decimals are after the numbers, in this case, 3. cus it’s 2 after 1.56 and one after 7.8
Answer: x=5
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable (x)
. Describe the transformation that changes AABC to AA'B'C'.
Analysing the given figures of the triangles ABC and A'B'C' , the required transformation for changing the traingle ABC to A'B'C' is the translation.
How can a translation transformation be represented in a 2D space?In a two-dimensional space, a translation transformation can be represented by a matrix of the form [1 0 Tx], [0 1 Ty], where Tx and Ty are the horizontal and vertical translation values, respectively. The matrix shows the movement of an object in the x and y directions, with Tx representing the horizontal shift and Ty representing the vertical shift.
What are the effects of a translation transformation on an object?A translation transformation moves an object from one position to another without changing its size or orientation. The shape and size of the object remain the same, but its position changes. The object is moved along a specific direction by a certain distance, and the position of the object within a coordinate system is changed. The effect of a translation can be visualized as sliding an object along a surface, while keeping its orientation and size unchanged.
As we can see from the given graph that the traingle ABC has moved straight downward without any changes in the orientation and the size of the traingle while being transformed to traingle A'B'C', Hence the transformation is translation transformation.
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Find the volume of the given solid. Bounded by the cylinder y^2+z^2=4 and the planes x=2y, x=0, z=0 in the first octant
The volume of the given solid. Bounded by the cylinder y^2+z^2=4 and the planes x=2y, x=0, z=0 in the first octant is 16/3 unit cute
V = ∫ dV
= ∫0→2 ∫ 0→π/2 ∫ 0→ 2·r·sin(φ) [ r ] dzdφdr
Factorize to have
= ∫0→2 ∫ 0→π/2 [ r·2·r·sin(φ) - r·0 ] dφdr
= ∫0→2 ∫ 0→π/2 [ 2·r²·sin(φ) ] dφdr
= ∫0→2 [ -2·r²·cos(π/2) + 2·r²·cos(0) ] dr
= ∫0→2 [ 2·r² ] dr
= (2/3)·2³ - (2/3)·0³
Conclusively, this implies that the volume is = 16/3
In conclusion, the volume of the given solid is 16/3. cubic units
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Find the missing angle. Find x.
Solve for x and show your steps. Is the solution extraneous? Check your work to show how you extraneous or not.
1 1x + 5 = 7
For the given issue, x has a value of 4. The offered solution is the solution extraneous .
What does the mathematical concept of superfluous mean?When we solve equations, we often obtain values that aren't actually the answer to the equation.
What makes an equation unnecessary?A root of a transformed equation that isn't a root of the previous iteration because it was left out of the original equation's domain is known as a extraneous solution.
According to the given information:√(11x + 5) = 7
(11x + 5) = 7²
11x + 5 = 49
11x = 49 - 5
11x = 44
x = 4
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Find the product.
(6t²-8bs) (t² + bs)
Enter the correct answer.
The product of given equation is [tex]6t^{4} + 6t^{2} bs-8bst^{2} -8b^{2} s^{2}[/tex] .
Define expression.Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
[tex]=(6t^{2} -8bs) (t^{2} + bs)[/tex]
[tex]=6t^{2} (t^{2} + bs) -8bs(t^{2} + bs)[/tex]
[tex]=6t^{4} +6t^{2}bs -8bst^{2} -8b^{2} s^{2}[/tex]
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