Answer: 36 problems
Step-by-step explanation:
40% is nothing but 40/100, which is just 4/10. To start, multiply 60 by the fraction 4/10. Cancel out the 10 from the denominator of the fraction to get 4 x 6 = 24. Now, we just found the number of problems that the student solved, but we need to find how many problems still need to be solved. To do that, do 60 - 24 = 36. The student needs to solve 36 more problems.
I hope this helps!
Solve and reduce to lowest terms 2/7 x 5/6
Answer:
5/21
Step-by-step explanation:
2 x 5 = 10
--------
7 x 6 = 42
10 / 42 in simplest form is 5/21
Do the values in the table represent a proportional relationship?
Answer:
Yes
Step-by-step explanation:
Yes, they do since if you multiply the y by 2.5 it will give you all the answers you entered
assistance with This question please I’ll give you brainliest
Answer:
%6, 1/2, 0.6, 6/5
Step-by-step explanation:
Answer:
Bottom left option
Step-by-step explanation:
The four numbers present in this order are:
[tex]\frac{1}{2} = 0.5[/tex]
0.6
[tex]\frac{6}{5} = 1.2[/tex]
[tex]6 percent = \frac{6}{100}[/tex] = 0.06
The order of the numbers from least to greatest are:
6%, [tex]\frac{1}{2}[/tex], 0.6, [tex]\frac{6}{5}[/tex]
What’s negative one and one fourths subtract one and three eights
Answer:
negative two and five eights
Step-by-step explanation:
It usually helps to break down the equation like this:
-1 - 1 = -2
1/4 = 2/8
2 - 3 = 5, therefore 2/8 - 3/8 = 5/8.
Put it all together,
-1 1/4 - 1 3/8 = -2 5/8
According to a recent poll, 27% of Americans get 30 minutes of exercise at least five days each week. Let's assume this
is the parameter value for the population. If a simple random sample of size were taken, what is the approximate
probability that , the proportion who exercise at least five days per week, is higher than 0.30?
The probability that the proportion of a sample is higher than 0.30 can be estimated using the Central Limit Theorem (CLT) which states that the distribution of the sample means approaches a normal distribution as the sample size increases. With a large sample size (n >= 30), we can use the normal distribution to approximate the distribution of the sample means.
Assuming the sample size is large, the standard error (SE) of the sample mean is given by
SE = sqrt(p * (1 - p) / n), where p is the population proportion (0.27) and n is the sample size.
With this information, we can find the Z-score corresponding to 0.30 using the formula: Z = (0.30 - 0.27) / SE
Since we don't know the sample size, we'll assume a conservative sample size of 30.
With a sample size of 30, the SE is approximately 0.039, and the Z-score is approximately 0.77.
Using a standard normal table, we can find the probability of a Z-score being greater than 0.77 is approximately 0.22.
Therefore, the approximate probability that the proportion who exercise at least five days per week is higher than 0.30 is 0.22.
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How many gallons of a 50% antifreeze solution must be mixed with 60 gallons of 25% antifreeze to get a mixture that is 40% antifreeze? Use the six-step method.
You need
gallons.
(Round to the nearest whole number.)
Answer:
Step-by-step explanation:
7877
Answer:
180 gallons is needed.
Step-by-step explanation:
tags are placed to the left leg and right leg of a bear in a forest. let be the event that the left leg tag is lost and the event that the right leg tag is lost. suppose these two events are independent and find the probability that exactly one tag is lost, given that at least one tag is lost (write it up to second decimal place).
The probability that at least one tag is lost is 0.75.
The probability that exactly one tag is lost is equal to the probability of the left tag being lost and the right tag being kept, plus the probability of the right tag being lost and the left tag being kept.
Using the formula for the probability of the union of two events, the probability that at least one tag is lost is:
P(A1 or A2) = P(A1) + P(A2) - P(A1 and A2) = 0.4 + 0.4 - 0.16 = 0.64
The probability of the left tag being lost and the right tag being kept is:
P(A1 and not A2) = P(A1) × (1 - P(A2)) = 0.4 × (1 - 0.4) = 0.24
The probability of the right tag being lost and the left tag being kept is:
P(A2 and not A1) = P(A2) × (1 - P(A1)) = 0.4 × (1 - 0.4) = 0.24
So, the probability of exactly one tag is lost, given that at least one tag is lost, is:
P(exactly one tag is lost | at least one tag is lost) = P(A1 and not A2 or A2 and not A1) / P(A1 or A2) = (0.24 + 0.24) / 0.64 = 0.75
Rounding to two decimal places, the answer is 0.75.
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Tell whether the triangles are congruent. Explain your reasoning.
Answer:
Yes because there all the same shape the size dosent effect the shape of it.
Step-by-step explanation:
Answer:
101. ΔABC congruent to ΔDEF
102. ΔJKL not congruent to ΔMNO
Step-by-step explanation:
Q 101
Triangle ABC has 3 sides equal to each of the three sides of DEF
The corresponding two angles of ABC and DEF are also equal
So the third angle of ABC ∠B must be equal to the third angle of DEF so we have three sides equal, three angles equal, hence congruent
ΔABC congruent to ΔDEF
Q 102
We have JL = MP = 1.9
m∠J = m∠M = 24°
The other two angles are not correspondingly equal
This only makes one side equal and one angle equal. Not sufficient to make it congruent
Hence ΔJKL not congruent to ΔMNO
The second side of a triangular deck is 4 feet longer than the shortest side, and the third side is 4 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 60 feet, what are the lengths of the three sides?
Answer:
15,19,26
Step-by-step explanation:
second side of a triangular deck is 4 feet longer than the shortest side,
shortest side = x
second side = x+4
third side = 2x-4
perimeter = 60 = x+x+4+2x-4 =4x
x=15
second side = x+4 =19
third side = 2x-4 =30-4 =26
Please help me with this question.
The area of the rectangle will be equal to 11 square units.
Matrix is defined as the arrangement of the numbers variables and expressions in the table as rows and columns.
A matrix is a structured table with columns and rows for arranging numbers, expressions, and even symbols. If the two matrices have equal row and column sizes, they can be added to, subtracted from, and multiplied element by element.
The area of the rectangle is calculated by finding the determinant of the matrix as below,
[tex]A = \left[\begin{array}{cc}3&-1&\\5&2&\\\end{array}\right][/tex]
A = ( 6 - ( -5 )
A = 6 + 5
Area = 11 square units
Hence, the value of the area of the rectangle is 11 square units.
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Anyone good with geometry please help with as many questions ASAP. I would greatly appreciate it!
Answer: it is Konnachair, dm me there
Step-by-step explanation:
1/4 of what is 1/5 thank you very much
Answer:
4/5
Step-by-step explanation:
Call our unknown variable ‘x’
X(1/4)=1/5
Therefor, x=4/5
the retail price of a tv is $600. The discount is 25% and tax is7%. how much do you pay for the tv?
Answer:
$ 481.50
Step-by-step explanation:
Discount:
Discount = 25% of retail price of TV
= 0.25 * 600
= $ 150
Price after discount = Retail price - discount
= 600 - 150
= $ 450
Tax:
Tax = 7% of 450
= 0.07 * 450
= $ 31.50
Amount to be paid:
Amount needs to be paid = price after discount + tax
= 450 + 31.50
= $ 481.50
Q1: For triangle ABC use the Triangle Proportionality Theorem to solve for x. Show all of your work for full credit.
Q2: What is the perimeter of triangle ABC? Show all of your work for full credit.
The value of x in the triangle is 17 .
The perimeter of the triangle ABC is 86 units.
How to use triangle proportionality theorem to find side of a triangle?Triangle Proportionality Theorem states that If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.
Therefore, let's use the theorem to find the value of x in the triangle.
Hence,
20 / 4 = 2x - 4 / 6
cross multiply
120 = 4(2x - 4)
120 = 8x - 16
120 + 16 = 8x
136 = 8x
divide both sides by 8
x = 136 / 8
x = 17
Hence, let's find the perimeter of the triangle ABC.
perimeter of the triangle ABC = 24 + 26 + 2(17) - 4 + 6
perimeter of the triangle ABC = 50 + 30 + 6
perimeter of the triangle ABC = 86 units
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#1. Which situation represents an example of a non-proportional Equation? A. A farmer sells fresh peaches for $0.71 a pound. B. Michael's Pizza charges a $5 fee for the delivery of each pizza. C. Emiliano's cell phone plan charges $40 per gigabyte of data used. D. The temperature in the morning was 49 F, and it increased by 3 F every hour.
When two variables' ratios are equivalent, proportional relationships between them emerge.The right response is option c.A $50 membership fee plus a $20 monthly cost is required to use a gym.
What is a proportional relationship?Because b, the w intercept, is zero in the linear exhaustion of a line, y=mx+b, a proportionate relationship would be something like y=mx+0.IHaving said that, the equation for a line is as follows: so that y=1.75x (because it is only charging per drink, and nothing else, there is no b value or y-intercept).Therefore, this is a y=0.10x for b) (because it is only charging per amount of texts, and nothing else, there is again no b value, so the y-intercept is 0, crossing the origin).(YET AGAIN, THIS IS NOT THE ANSWER)c) y=20x+50 (x is the number of months, and depending on how many months you go to the gym, the amount of money you spend there is determined). Additionally, you must include the $50 cost of the gym membership.In this instance, the b value or y-intercept would be 50 because 50 is being added to the 20x.To learn more about proportional relationship refer
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Manny and Patricia were working on a project in class they need to cut 4 lengths of 1 3/5 feet from the board. How long must the board be to allow this
The board in shape of rectangle must be at least 6.4 feet.
What is a rectangle?
A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from a square.
For example, if one side of a rectangle is 20 cm, then the side opposite to it is also 20 cm.
A rectangle has two diagonals, that bisects each other. Both the diagonals are equal in length.
Perimeter, P = 2 (Length + Width)
Area of Rectangle=Length*Breadth
Now,
Given length of board they want to cut=1 3/5 feet=8/5 feet.
No. of board they want to cut=4
so, length of rectangular board must be at least=4*8/5 feet
=32/5=6.4 feet
Hence,
The board in shape of rectangle must be at least 6.4 feet.
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8n = 120 − 8(5 + 2)
can someone help me with this, im too lazy lol
Answer:
Step-by-step explanation: First, do the multiplication inside the parenthesizes so 8x5 is 40, and 40+2 is 42. 120-42=78
8n=78
n=9.75
Need Help please, here is screenshot
1)
The axis of symmetry is x = -6.
2)
Vertex is (-6, 26).
3)
f(x) has a maximum value.
4)
f(x) is concave down.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 7 is an equation.
We have,
f(x) = -x² - 12x - 10
This is in the form of ax² + bx + c.
a = -1, b = -12, c = -10
The axis of symmetry is x = -b/2a
x = 12/(-2)
x = -6
Now,
f(x) = -x² - 12x - 10
f(x) = -(x² + 12x + 10)
f(x) = - { (x² + 12x + 36) - 36 + 10}
f(x) = -(x + 6)² + 26
This is in the form of f(x) = a (x - h)² + k
a = -1, h = -6, k = 26
Vertex = (h, k) = (-6, 26)
Now,
f(x) = -x² - 12x - 10
f'(x) = -2x - 12
f''(x) = -2
It is a negative value.
This means f(x) has a maximum value.
Now,
From the graph, we see that f(x) is concave down.
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A hose fills a hot tub at a rate of 3.99 gallons per minute. How many hours will it take to fill a 275-gallon hot tub?
The time taken to fill a 275-gallon hot tub is 69 minutes.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
A hose fills a hot tub at a rate of 3.99 gallons per minute.
This means,
3.99 gallons = 1 minute
Multiply 275/3.99 on both sides.
275 gallons = 275/3.99 x 1 minute
275 gallons = 69 minutes
Thus,
It will take 69 minutes to fill a 275-gallon hot tub
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Let the vector space P2 have the inner product
⟨p,q⟩=∫4−4p(x)q(x)dx
Find the following for p=2x, q=5x2.
Solution
(i) ⟨p,q⟩=
(ii) d(p,q)=
(iii) ∥p∥=
(iv) ∥q∥=
A population, f(x), after x years may be modeled with f(x)=2(3)^x. What is the initial amount , growth rate, domains and range?
2 is the initial amount, growth rate is (3ˣ - 1) × 100% , domain of the function is all real numbers and range of the function is all positive real numbers
What is a function?A relation is a function if it has only One y-value for each x-value.
The given function is:
f(x) = 2(3)ˣ
To find the initial amount, we need to find f(0):
f(0) = 2(3)⁰ = 2(1) = 2
So the initial amount is 2.
To find the growth rate, we can use the formula:
growth rate = (f(x) - f(0)) / f(0) × 100%
= (2(3)ˣ - 2) / 2 × 100%
= (3ˣ - 1) × 100%
So the growth rate is (3ˣ - 1)×100%.
The domain of the function is all real numbers because the function is defined for all values of x.
The range of the function is all positive real numbers because the function is always positive for any value of x.
Specifically, the range of the function is (0, infinity).
Hence, 2 is the initial amount, growth rate is (3ˣ - 1) × 100% , domain of the function is all real numbers and range of the function is all positive real numbers
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Write the equation of the function graphed below:
An equation of the function graphed above include the following: f(x) = 2∛x - 4.
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape.
Additionally, a geometric figure that is translated downward simply means subtracting a digit from the value on the y-coordinate of the pre-image or parent function.
By critically observing the graph of the function shown above, we can logically deduce that it is a cube root function that has been vertically shifted by a scale factor of 2 units and then translated downward by 4 units. Therefore, this can be modeled by this equation as follows;
f(x) = 2∛x - 4.
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Please help me with this question.
We split a given vector by its magnitude to get a unit vector that has the same direction. Consider the vector v = (1, 4), which has a magnitude of |v|. The unit vector uv, which is in the same direction as v, is obtained by dividing each component of the vector v by |v|.
What is unit vector?The magnitude of a unit vector must be exactly one unit. They are quite helpful for a variety of reasons. The unit vectors [0,1] and [1,0] in particular can combine to generate any other vector. A vector of magnitude one is known as a unit vector. A vector's direction can be expressed using unit vectors regardless of the magnitude of the vector. Even though a unit vector must have a direction to be defined, even though it has a magnitude of 1, not all unit vectors will have the same direction. Now that we are aware that a unit vector is a vector whose magnitude is one, we will check to see whose magnitude is one and provide the response. [Right Arrow] Not a unit vector, it.To learn more about unit vector, refer to:
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katie rents a car while spending her vacation travelling in australia. when she returns the car, she has driven 1400 miles and used about 56 gallons of gas. if gas costs an average of $5.099 per gallon, estimate how much she spent on fuel.
Katie spent approximately $285.544 on fuel during her vacation in Australia.
The Average Cost is the per unit cost of the product received by dividing the total cost (TC) by the total output (Q). By per unit cost of production, we mean that all the fixed and variable costs are considered for calculating the average cost. Thus, it is also called Per Unit Total Cost.
Symbolically, the average cost is expressed as:
AC = TC/Q
To estimate how much Katie spent on fuel, you need to multiply the number of gallons of gas she used (56 gallons) by the average cost of gas per gallon ($5.099):
56 gallons × $5.099/gallon = $285.544
So, Katie spent approximately $285.544 on fuel during her vacation in Australia.
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How do i rewrite the sum in the form a(b+c) such that the integers b and c have no common factor. 36+72
Ans:-
[tex] \: [/tex]
[tex] \underline{ \boxed{ \bold{12( 3 + 6 )}}}[/tex][tex] \: [/tex]
Int b nd c can be divide by 12
[tex] \: [/tex]
[tex] \rm 12 × 3 = \bold{36}[/tex][tex] \: [/tex]
[tex] \rm 12 × 6 = \bold{72}[/tex][tex] \: [/tex]
The Sum In The Form a( b + c ):-
[tex] \: [/tex]
[tex] \rm \bold{12 ( 3 + 6 )}[/tex][tex] \: [/tex]
[tex] \underline{ \rm \: 36 + 72 \: }[/tex][tex] \: [/tex]
hope it helps! :)
Crossfire Company segments its business into two regions—East and West. The company prepared a contribution format segmented income statement as shown below: Total Company East West Sales $ 910,000 $ 650,000 $ 260,000 Variable expenses 637,000 468,000 169,000 Contribution margin 273,000 182,000 91,000 Traceable fixed expenses 133,000 70,000 63,000 Segment margin 140,000 $ 112,000 $ 28,000 Common fixed expenses 56,000 Net operating income $ 84,000 Required: 1. Compute the companywide break-even point in dollar sales. 2. Compute the break-even point in dollar sales for the East region. 3. Compute the break-even point in dollar sales for the West region. 4. Prepare a new segmented income statement based on the break-even dollar sales that you computed in requirements 2 and 3. Use the same format as shown above. What is Crossfire’s net operating income (loss) in your new segmented income statement? 5. Do you think that Crossfire should allocate its common fixed expenses to the East and West regions when computing the break-even points for each region?
1. Companywide break-even point in dollar sales = $910,000
2. Break-even point in dollar sales for the East region = $391,667
3. Break-even point in dollar sales for the West region = $225,000
How did we get the values?Companywide break-even point in dollar sales: Total fixed expenses / Contribution margin ratio = $189,000 / (273,000/910,000) = $910,000
Break-even point in dollar sales for the East region: Traceable fixed expenses / Contribution margin ratio = $70,000 / (182,000/650,000) = $391,667
Break-even point in dollar sales for the West region: Traceable fixed expenses / Contribution margin ratio = $63,000 / (91,000/260,000) = $225,000
New segmented income statement based on the break-even dollar sales:
Total Company
Sales $910,000
Variable expenses 637,000
Contribution margin 273,000
Traceable fixed expenses 133,000
Segment margin 140,000
Common fixed expenses 56,000
Net operating income $ 84,000
Total East
Sales $391,667
Variable expenses 258,250
Contribution margin 133,417
Traceable fixed expenses 70,000
Segment margin 63,417
Total West
Sales $225,000
Variable expenses 154,500
Contribution margin 70,500
Traceable fixed expenses 63,000
Segment margin 7,500
Net operating income in the new segmented income statement: $84,000
Yes, Crossfire should allocate its common fixed expenses to the East and West regions when computing the break-even points for each region as these expenses benefit both regions and affect the profitability of each region.
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of the 90 gallons a average person uses a day,30% is used out doors. Mason wants to know how much water is used out doors .PLease complete the statement Since 30 percent of 90 is blank, the average person uses approximately blank gallons of water outdoors per day .
27 gallons of water is used outside everyday.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that of the 90 gallons a average person uses a day, 30% is used out doors.
Let the amount of water used outside be {x} gallons. Then, we can write -
{x} = 30% of 90
{x} = (30/100) x 90
{x} = 27
Therefore, 27 gallons of water is used outside everyday.
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A new sidewalk will be 4 feet wide, 140 feet long, and filled to a depth of 6 inches (0.5foot) with concrete. How many cubic yards of concrete are needed?
Answer: 93 [tex]\frac{1}{3}[/tex] yards³
Step-by-step explanation:
We will find the volume in feet with this formula:
V = LWH
V = LWH
V = (140)(4)(0.5)
V = 280 feet³
There are 3 feet in a yard, and the question asks for yards, so we will divide:
280 feet³ / 3 = 93 [tex]\frac{1}{3}[/tex] yards³
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two different ways to represent the expression -1/3x -17/3
Answer: -1/x-17 -1-17x
Step-by-step explanation:
What is 30° below sea level
30 degrees below sea level refers to a location that is 30 degrees lower in elevation than the average sea level, which is a reference point fomeasuring elevation and depth, and which can vary depending on the location.
Sea level is the average level of the surface of the ocean, which is used as a reference point for measuring elevation and depth. The term "sea level" can also refer to the specific measurement of the height of the ocean's surface at a specific location.
30 degrees below sea level refers to a location that is 30 degrees lower in elevation than the average sea level. This means that the location is 30 degrees lower in elevation than the reference point of the average surface of the ocean. This can be measured in either meters or feet, depending on the unit of measurement being used.
One way to think about 30 degrees below sea level is to imagine a point 30 degrees below the level of the water in a swimming pool. This would be considered a very deep point in the pool, and would be much lower than the surface of the water. Similarly, a location that is 30 degrees below sea level is much lower in elevation than the average sea level.
It's important to note that the concept of sea level can vary depending on the location, as sea level can vary due to factors such as ocean currents, tides, and the shape of the ocean floor. Therefore, the reference point for sea level can be different in different locations.
In summary, 30 degrees below sea level refers to a location that is 30 degrees lower in elevation than the average sea level, which is a reference point for measuring elevation and depth, and which can vary depending on the location.
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