Answer:
Butter: 2•2/3=4/3=1&1/3 cups
Marshmallows: 24•2/3=16 oz
Cereal: 13•2/3= 26/3=8&2/3 cups
Step-by-step explanation:
To find how much she needs of every ingredient, multiply every ingredient by 2/3.
A scale drawing of an American flag is 5 inches long and 3 inches tall. The actual flag is 3 feet tall. What is the scale of the drawing?
Answer: 1 inch:1 feet
Step-by-step explanation:
Since we are informed that the scale drawing of an American flag is 5 inches long and 3 inches tall and the actual flag is 3 feet tall.
To calculate the scale of the drawing, we should note that the height of the drawing is 3 inches tall while the height of the actual flag is 3 feet tall. It simply means that (3/3 = 1 inch represents 1 feet
Help (again) (Brainly wont let me post without 20 chars so filling in gaps)
Step-by-step explanation:
\(at \:x = 0 \: y = 5 \\ at \:x = 1 \: y = 20 \\ y = mx + b \\ b = 5 \\ 20 = m + 5 \\ m = 15 \\ y = 15x + 5\)
Ericka is choosing between two cell phone plans that offer the same amount of minutes. VeriFone has a plan that charges $39.99 per month with additional minutes costing $0.45 per minute. AT&Q has a plan that costs $44.99 per month with additional minutes costing $0.40. How many minutes, m, would Ericka need to use for the two plans to cost the same amount?
I need help right away please thanks
Answer: can’t say the answer but i think i know youuuu from online school;)
Step-by-step explanation:
If the area of the base of the rectangular prism is 36.8 in2 and the height is 8.5 in, find the volume of the rectangular prism.
If the area of the base of the rectangular prism is 36.8 in2 and the height is 8.5 in, the volume is
What is volume?The measurement of three-dimensional space is volume. It is frequently quantified numerically by various imperial or US customary units, SI-derived units, or both.
V=Bh, where B is the base area and h is the height, is the formula for a prism's volume. Volume (V) = base area height of the prism is the formula for calculating the volume of a rectangular prism.
Volume = l w h is another way to state this equation, where l is the prism's length, w is its width, and h is its height.
Volume = base x height
V = 36.8 x 8.5 = 312.8
Therefore, the volume of the rectangular prism is
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Complete the two-column proof by providing the missing statements or reasons.
Answer:
See belowStep-by-step explanation:
Missing statement/reasons:
1. ABCD is rhombus2. Definition of rhombus- all sides are equal4. SSS (side-side-side) postulate5. Corresponding parts of congruent triangles are congruentFactor the following polynomial given that it has a zero at 5 with multiplicity 2 . z^(4)-3z^(3)-63z^(2)+355z-450
Given that the polynomial has a zero at 5 with multiplicity 2, its complete factorization is (x - 5)²(z + 9)(z - 2).
To factor the given polynomial z⁴ - 3z³ - 63z² + 355z - 450, given that it has a zero at 5 with multiplicity 2, we can use the fact that (z - 5)² is a factor of the polynomial. We can then use synthetic division to find the other factors.
First, we divide the polynomial by (z - 5) using synthetic division:
5 | 1 -3 -63 355 -450
| 5 10 -265 450
1 2 -53 90 0
The result of the division is z³ + 2z² - 53z + 90 . Divide it by (z - 5) again since the multiplicity is 2.
5 | 1 2 -53 90
| 5 35 -90
1 7 -18 0
The result of the second division is z² + 7z - 18. This polynomial can still be factorized as (z + 9)(z - 2).
So, the final answer is:
z⁴ - 3z³ - 63z² + 355z - 450 = (x - 5)²(z + 9)(z - 2).
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Its in the form of a picture
The equations that are parallel to the given line are C. 6x + 2y = -4 and D. 6x - 2y = -4.
What is the slope-intercept form?
The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.
Two lines are parallel if they have the same slope. The given line y = 3x - 5 is in slope-intercept form, which means its slope is 3.
A line in slope-intercept form has the equation y = mx + b, where m is the slope and b is the y-intercept. Therefore, any line of the form y = 3x + c, where c is a constant, will have a slope of 3 and be parallel to the given line.
Let's check each of the given equations to see which ones are of this form:
A. y = 3x - 7: This equation has the same slope as the given line, but it is not in the form y = 3x + c. Therefore, it is not parallel to the given line.
B. y = -3x - 5: This equation has a slope of -3, which is not the same as the slope of the given line. Therefore, it is not parallel to the given line.
C. 6x + 2y = -4: We can rearrange this equation to slope-intercept form by solving for y:
2y = -6x - 4
y = -3x - 2
This equation has the same slope as the given line, so it is parallel to the given line.
D. 6x - 2y = -4: We can rearrange this equation to slope-intercept form by solving for y:
-2y = -6x - 4
y = 3x + 2
This equation has the same slope as the given line, so it is also parallel to the given line.
Therefore, the equations that are parallel to the given line are C. 6x + 2y = -4 and D. 6x - 2y = -4.
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inverse of f(x)= 3x^2 + 1
Answer:
f−1 (x)= x/3 +1 /3
Step-by-step explanation:
Convert 65 inches to feet.
Answer:
780 in
Step-by-step explanation:
65*12=780
Answer:
5 ft 5in (5.41667 ft)
Step-by-step explanation:
divide by 12 using long division and use remainder for inches. Or divide 65 by 12 and use decimal value. Hope this makes sense.
You have a salary of $32,000, an RPP deduction of $2000, paid $1000 interest on your mortgage and paid union dues of $800. If the basic personal amount is $11,635 and the federal tax rate is 15 percent, what federal tax do you owe?
a.
$2635
b.
$4230
c.
$2485
d.
$4380
The correct answer is:
c. $2,485
Explanation: After considering the salary, RPP deduction, and other adjustments, the taxable income is determined. Applying the federal tax rate of 15% to the taxable income gives us the federal tax owed, which amounts to $2,485.
Two boys with bikes are standing 30 miles away from each other. They are going to set off cycling at the same time, and continue riding towards each other at a constant speed of 15 miles per hour, until they both crash into each other. Absolute madlads.
It will take them 2 hours to crash into each other. The two boys are standing 30 miles apart and are both going to start cycling towards each other at the same time. They are traveling at a constant speed of 15 miles per hour.
Since they are traveling towards each other, the total distance they will cover is the sum of the distances they each travel.
To find the time it takes for them to crash into each other, we can use the formula:
Time = Distance / Speed
The total distance they need to cover is 30 miles, and their speed is 15 miles per hour.
Time = 30 miles / 15 miles per hour = 2 hours
Therefore, it will take them 2 hours to crash into each other.
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find the standard equation of the sphere with the given characteristics. center: (−1, −6, 3) radius: 5
The standard equation of the sphere with the given characteristics, center (-1, -6, 3), and radius 5 is
\((x+1)^{2} +(y+6)^{2}+ (z-3)^{2} =25\).
The standard equation of a sphere is \((x-h)^{2} +(y-k)^{2}+ (z-l)^{2} =r^{2}\), where (h, k, l) is the center of the sphere and r is the radius.
Using this formula and the given information, we can write the standard equation of the sphere:
\((x-(-1))^{2}+ (y-(-6))^{2} +(z-3)^{2}= 5^{2}\)
Simplifying, we get:
\((x+1)^{2} +(y+6)^{2}+ (z-3)^{2} =25\).
Therefore, the standard equation of the sphere with center (-1, -6, 3) and radius 5 is \((x+1)^{2} +(y+6)^{2}+ (z-3)^{2} =25\).
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John runs the same number of miles each day.write an expression to represent the number of miles John ran in June last year
Answer:
30x
Step-by-step explanation:
it would be 30x because there are 30 days in june and x represents the number of miles he runs everyday.
help please anybody PLEASE
Answer:
18 dimes
Step-by-step explanation:
Since Leon has ”16 fewer than” it’s a symbol to subtract
34-16=18
Answer:
34-16=18 leon has 18 dimes
Step-by-step explanation:
hope this helps
a cube is constructed from white unit cubes and blue unit cubes. how many different ways are there to construct the cube using these smaller cubes? (two constructions are considered the same if one can be rotated to match the other.)
There are 8 number of ways to construct a 2 x 2 x 2 cube using 4 blue cubes and 4 white cubes.
Given,
A cube is constructed from 4 white unit cubes and 4 blue unit cubes.
We have to find the number of ways are there to construct a 2 x 2 x 2 cube using these smaller cubes;
Here,
4 white cubes and 4 blue cubes.
Now,
4 blue cubes + 4 white cubes3 blue cubes + 1 white cube at top left3 white cubes + 1 blue cube at top right2 blue cubes + 2 white cubes1 blue, 1 white, 1 blue, 1 white + 1 blue, 1 white, 1 blue, 1 white 3 blue cubes + 1 white cube at bottom left3 white cubes + 1 blue cube at bottom rightHere,
There are 8 number of ways to construct a 2 x 2 x 2 cube using 4 blue cubes and 4 white cubes.
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What is the fractional equivalent of 34%?
A) 17/200
B) 35/10
C) 17/50
D) 35/1
Brianna started watching a movie at 2:45 p.m. If the movie is 2 hours and 32 minutes long, when will it be over?
Answer:
It will be over at 5:17 pm
Step-by-step explanation:
2:45 +32 would be 3:17, we add 2 hours it would be 5:17
Answer:
5:17 pm
Step-by-step explanation:
Since Brianna started watching a movie at 2:45 p.m and the movie is 2 hours and 32 minutes long
Thus,
2:45 + 2 and 32 Minutes
2 + 2 = 4
45 + 32 = 77 minutes
1 Hour = 60 Minutes
Thus, 77 - 60 =17
Hence, 4 + 1 = 5
Thus, the movie will be over at 5:17 Pm
~Lenvy~
Helpppp plz!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
1. a
2. b
3.
4. a
5. b
6.
7. b
8. b
9.
10. b
11. b
Harry is trying to solve the equation 0 = 2x2 − x − 6 using the quadratic formula. He has made an error in one of the steps below. Find the step where Harry went wrong. (1 point)
➙ a quadratic equation in which Harry lagged due to an error made by him, 2x² - x - 6= 0
To solve -➙ the given quadratic equation.
Concept applied -➙ We will apply the quadratic formula as given in the question. So, let's study about quadratic equation first because we are supposed to apply the formula in equation.
What is quadratic equation?
➙ A quadratic equation in the variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers, a ≠ 0.
Now, what is quadratic formula?
➙The roots of a quadratic equation ax + bx + c = 0 are given by \(\sf{\:\frac{-b \pm\: \sqrt {b ^ 2 - 4ac}}{2a}}\) provided b - 4ac ≥ 0.
Solution -here as per the given quadratic equation,
a = 2, b = -1 and c = -6
putting in the formula,
\(\implies\sf{x=\frac{-(-1) \pm\: \sqrt {(-1)^2 - 4(2)(-6)}}{2(2)}}\)
\(\implies\sf{x=\frac{1 \pm\: \sqrt {1+48}}{4}}\)
\(\implies\sf{x=\frac{1 \pm\: \sqrt {49}}{4}}\)
\(\implies\sf{x=\frac{1 \pm\: 7}{4}}\)
Solving one by one,
\(\implies\sf{x=\frac{1 + \: 7}{4}}\)
\(\implies\sf{x=\frac{8}{4}}\)
\(\implies{\boxed{\bf{x=2}}}\)
________________
\(\implies\sf{x=\frac{1 - \: 7}{4}}\)
\(\implies\sf{x=\frac{-6}{4}}\)
\(\implies{\boxed{\bf{x=\frac{-3}{2}}}}\)
________________________________
Note - Hey dear user!! You haven't provided the solution which was solved by Harry (A.T.Q). Please go through the solution as it will help you to find the error done by Harry.
________________________________
Hope it helps!! (:
A pair of linear equations is shown: y = −3x + 5 y = x + 2 Which of the following statements best explains the steps to solve the pair of equations graphically? On a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = −3, and the second line has y-intercept = 2 and slope = 1. On a graph, find the point of intersection of two lines; the first line has y-intercept = −3 and slope = 5, and the second line has y-intercept = 1 and slope = 2. On a graph, find the point of intersection of two lines; the first line has y-intercept = −5 and slope = 3, and the second line has y-intercept = −2 and slope = −1. On a graph, find the point of intersection of two lines; the first line has y-intercept = 3 and slope = −5, and the second line has y-intercept = −1 and slope = −2
The solution to this pair of equations is the point (2, -1).
Which of the above phrases best describes the stages involved in solving the two equations graphically?On a graph, find the point of intersection of two lines; the first line has y-intercept = 3 and slope = −5, and the second line has y-intercept = −1 and slope = −2.To solve these equations graphically, plot both lines on the same graph. For the first equation, plot the y-intercept at (0, 3) and plot each additional point using the slope of -5. For the second equation, plot the y-intercept at (0, -1) and plot each additional point using the slope of -2.Connect the points of each line to create two lines. The point of intersection of the lines is the solution to the pair of equations. The solution to this pair of equations is the point (2, -1).To learn more about linear equations graphically refer to:
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a line that is perpendicular to the graph of 3x+2y=6 and contains the point (6,-3)
Answer:
y = (-2/3)x +1
Step-by-step explanation:
The standard equation of a line is: y=mx+b where m-is the slope, and b-is the y intercept. Rewrite the given equation in standard form.
3x+2y = 6
2y = 3x+6
y= (3/2)x+3
So the given equation has the slope m =3/2 and y-intercept= 3
A line ⊥ to the given line will have the slope negative reciprocal so the line is
y= (-2/3 )x +b
To find b will substitute the given point (6,-3) in the new found equation
-3= (-2/3 )6 +b
-3= -4 +b
-3+4 = b
1 = b
The equation of the line that is perpendicular to the graph of 3x+2y=6 and contains the point (6,-3) is y = (-2/3)x +1
A pair of Nikes cost $89.99 and the sales tax is 8%. What is the total cost of the shoes including tax?
Step-by-step explanation:
to find the answer divide 89.99 by 8
so you got the answer
89.99 ÷ 8 = 11.24875
hope it help you
A factory produces 200 articles a year. How many more articles will the factory produce in a year if labor productivity increases by 45 percent?
this was answered before but i found the answer to be wrong. Ty :P
Answer:
Its 290 even though you got the answer im out here to help
Answer:
90
Step-by-step explanation:
yes
Rosa and Albert receive the same amount of allowance
each week. The table shows what part of their allowance
they each spent on video games and pizza
A: Who spent more or their allowance no video games? Write an inequality to compare the portion spent on video games.
Answer:
0.4x < 0.5x
Step-by-step explanation:
Let x = Amount of money Rosa and Albert earn each week
Rosa:
Rosa spends 0.4(x) and 2/5(x) each week on video games and pizza
That equals to :
0.4x + 0.4x0.8xRosa spends 0.8x, or 80% of her allowance on video games and pizza
Albert
Albert spends 1/2(x) and 0.25(x) each week on video games and pizza
0.5x + 0.25x0.75xAlbert spends 0.75x, or 75% of her allowance on video games
Rosa spends 0.4x on video games, and Albert spends 0.5x.
0.4x ≤ 0.5x
-Chetan K
A sofa regularly sells for $550. The sale price is $456.50. Find the percent decrease of the sale price from the regular price.
Answer:
The percent decrease of the sale price of the sofa from the regular price is 17%.
Step-by-step explanation:
Sure! Here are the steps to find the percent decrease:
Find the difference between the regular price and the sale price: $550 - $456.50 = $93.50Divide the difference by the regular price: $93.50 ÷ $550 = 0.17Multiply by 100 to convert to a percentage: 0.17 × 100 = 17%The percent decrease of the sale price from the regular price is 17%.
Answer:
17% is the percen
The student council at Summerfield High School is making T-shirts to sell for a fundraiser, at a price of $11 apiece. The costs, meanwhile, are $10 per shirt, plus a setup fee of $141. Selling a certain number of shirts will allow the student council to cover their costs. What will the costs be? How many shirts must be sold?
Answer:
$1551 needed to cover the costs and 141 shirts will be sold.
Step-by-step explanation:
If a shirt costs $10 and the council is selling the shirt for $1 more ($11), after selling 141 shirts, they would have made a profit of $1*141=$141. Since there is also a setup fee of $141, the profit would actually be $0. This is when the costs are covered.
C = 10s + 141 (C is cost and s in no. of shirts sold)
s = 141
C = 141*10 + 141 = 1551
Hope this helps!
ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.
Answer:
when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°.
Step-by-step Explanation:
The relationship between an intercepted arc and an inscribed angle is given as:
the measure of the intercepted arc = twice the inscribed angle that intercepts it.
Also, by virtue of this, when two inscribed angles intercepts the same arc, both inscribed angles are said to be congruent. And the measure of both angles equal the measure of the arc they both intercept.
Therefore, if the measure of an arc, that is intercepted by 2 inscribed angles, is given as 75°, both inscribed angles equal 75° as well. Thus, each of the inscribed angles is half the measure of the intercepted arc.
Therefore, the statement that is true about inscribed angles is: "when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°."
Child Behavior Checklist (CBCL) scores have a population mean, µ = 53, and a standard deviation, σ = 10.
a. Out of 50 third graders, how many would be expected to have a CBCL score lower than 38?
b. What CBCL score is required to be in the top 4%?
c. What proportion of children would be expected to have a CBCL score between 49 and 55?
d. What two CBCL scores separate the middle 96% of the population from the extreme 4%?
a. To find the number of third graders expected to have a CBCL score lower than 38, we need to calculate the z-score and use the standard normal distribution table.
First, calculate the z-score using the formula:
z = (x - μ) / σ
In this case, x = 38, μ = 53, and σ = 10.
z = (38 - 53) / 10 = -1.5
Using the standard normal distribution table, find the probability associated with a z-score of -1.5.
This probability represents the proportion of the population with a CBCL score lower than 38.
Multiply this probability by the total number of third graders (50) to find the expected number of third graders with a CBCL score lower than 38.
b. To find the CBCL score required to be in the top 4%, we need to find the z-score associated with the top 4% of the standard normal distribution.
Using the standard normal distribution table, find the z-score that corresponds to a cumulative probability of 0.96 (1 - 0.04).
This z-score represents the number of standard deviations away from the mean.
Once you have the z-score, use the formula:
z = (x - μ) / σ
Rearrange the formula and solve for x to find the CBCL score required to be in the top 4%.
c. To find the proportion of children expected to have a CBCL score between 49 and 55, we need to calculate the z-scores for both values and find the difference between the cumulative probabilities.
Calculate the z-scores using the formula:
z = (x - μ) / σ
Then, find the cumulative probabilities associated with the z-scores for both 49 and 55 using the standard normal distribution table.
Subtract the cumulative probability of 49 from the cumulative probability of 55 to find the proportion of children expected to have a CBCL score between 49 and 55.
d. To find the CBCL scores that separate the middle 96% of the population from the extreme 4%, we need to find the z-scores associated with the cumulative probabilities of 0.02 (0.01 on each tail).
Using the standard normal distribution table, find the z-scores that correspond to a cumulative probability of 0.02. These z-scores represent the number of standard deviations away from the mean.
Once you have the z-scores, use the formula:
z = (x - μ) / σ
Rearrange the formula and solve for x to find the CBCL scores that separate the middle 96% from the extreme 4%.
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Please help!
Provide an appropriate response and show your work. Assume that the random variable X is normally distributed, with mean=90 and standard deviation=12. Compute the probability P(57 < X < 105).
The probability that X is between 57 and 105 is 0.8914.
How to solveGiven:
* X is normally distributed with mean=90 and standard deviation=12
* P(57 < X < 105)
Solution:
* Convert the given values to z-scores:
* z = (X - μ) / σ
* z = (57 - 90) / 12 = -2.50
* z = (105 - 90) / 12 = 1.25
* Use the z-table to find the probability:
* P(Z < -2.50) = 0.0062
* P(Z < 1.25) = 0.8944
* Add the probabilities to find the total probability:
* P(57 < X < 105) = 0.0062 + 0.8944 = 0.8914
Therefore, the probability that X is between 57 and 105 is 0.8914.
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the number sentence 4*6=6*4 is an example of what property
The number sentence 4 x 6=6x4 is part of the commutative property of multiplication. This is because since the equation is reversed, it shows that the results will still be the same.
......hope it helps you..all the best
Answer:
Commutative of Multiplication
Step-by-step explanation:
In commutative of multiplication, we can swap the numbers and still get the same product.