Answer:
2^2*4*5^2*9=900
Step-by-step explanation:
900= 100*9
100=20*5
20=5*4
4=2*2
2*2*4*5*5*9=900=
2^2*4*5^2*9=900
Hope this helps!
Answer:
2×2×3×3×5×5
2²×3²×5²
Step-by-step explanation:
Hope this helped (:
Alex paid a total of $530 for t tickets to a concert. How much did each ticket cost?
Answer:
$530/T
Step-by-step explanation:
When a certain ball is dropped, the function f(x)=4.5(0.65)^x models it’s height in feet after each bounce, where x is The bounce number. To the nearest hundredth, what is the height after the third bounce?
Answer:
8.555625.
Step-by-step explanation:
Um, well...
4.5(0.65) is 2.925.
Then from there it is 2.925^x is 8.555625.
Luna packed two chocolate bars for the trip.One s’more uses 1/12 of a bar. How should we complete model
The days will the chocolate last is A) More than 12 days . Therefore A) More than 12 days is correct .
One chocolate bar lasts for 12 days because 1 / (1/12) = 12
Two chocolate bars last for 24 days because 12 * 2 = 24
So, even if Luna has one s'more a day, the chocolate will last for more than 12 days.
The other options are not as likely:
Option (B) is less likely because two chocolate bars would still last for more than a day, even if she had one s'more a day.
Option (C) is possible, but it's less likely than option (A) because two chocolate bars would provide more than 12 s'mores worth of chocolate.
Therefore, the answer is A) More than 12 days.
Question
Luna packed two chocolate bars for the trip. One s'more uses 1/12 of a bar. If she has one s'more a day, about how many days will the chocolate last?
A) More than 12 days
B) Less than 1 day
C) Between 1 and 12 days
The town Diego lives in has a population of about 16,000. Describe all the numbers that, when rounded to the nearest hundred, round to the 16,000. Numbers greater than or equal to_________and less than________
Answer:
Numbers greater than or equal to 15950 and less than 16050.
Step-by-step explanation:
Given:
The town Diego lives in has a population of about 16,000
To fill: the blanks
Solution:
Numbers 15950, 15951, 15952, 15953,...., 16000, 16001, 16002,..., 16049 are rounded off to 16,000 when rounded to the nearest hundred.
In other language, numbers greater than or equal to 15950 and less than 16050
Numbers greater than or equal to 15950 and numbers less than or equal to 16049 will round round to 16000 when rounded to the nearest hundred.
To round to the nearest hundred :
When the value of the tens digit is greater than or equal to 5, it is rounded up to 1 and added to the hundred digit If the tens digit is less than 5, it is rounded to 0.15950, tens digit is 5, when rounded to 1 and added to the hundred digit, we have 16,00016049 ; tens digit is 4, it is rounded to 0 a d we have 16000Therefore, Values below 15950 and beyond 16049 will not round to 16000(to the nearest hundred).
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How many milliliters equal 54.7 liters?
Answer:
54700
Step-by-step explanation:
Answer:
Their are 54700 milliliters in a liter
Step-by-step explanation:
Everfi module 3 budgeting for wants
Answer:
The budget breakdown is as follows;
Savings = $354.00
Clothing = $88.50
Entertainment = $88.50
Charitable giving = $44.00
Amount left = $0.00
Step-by-step explanation:
In the budgeting process, needs and the recurring expenditures are first addressed followed by savings which consists of emergency funds that can be used on unexpected expenses and reduces the tendency for borrowing.
Therefore, the appropriate amount for savings in a budget is found from the 50-20-30 rule.
That is the after tax income is weighted to 100 from which;
50% is expended on needs and recurring expenditures
20% of the after tax income should be kept as savings and
30% can be spent on wants
Based on the above rule, with a take home pay of $1,770 we have;
Amount meant for savings = 20% of $1,770 = $354.00
Since $354.00 is to be kept as savings we have;
Amount on Clothing + Entertainment + Charitable = $575 - $374 = $221
The amount on clothing should be 5% of the monthly income, which gives;
5% of $1,770 = 0.05× $1,770 = $88.5
Therefore amount on entertainment which should also be 5% =$88.5
Hence the amount for charitable giving = $221 - $88.5 - $88.5 = $44.00
Hence the budget breakdown should be;
Savings = $354.00
Clothing = $88.50
Entertainment = $88.50
Charitable giving = $44.00
Amount left = $0.00.
Budget represents financial plan over a period of time.
The money would be allocated as follows:
[tex]Savings = \$354[/tex][tex]Clothing = \$88.5[/tex][tex]Entertainment = \$88.5[/tex][tex]Charitable\ Giving = \$44[/tex]The total home pay is given as:
[tex]Total = \$1770[/tex]
In budget, 20% are always allocated to savings.
So, we have:
[tex]Savings = 20\% \times Total[/tex]
[tex]Savings = 20\% \times \$1770[/tex]
[tex]Savings = \$354[/tex]
The amount to spend is given as:
[tex]Spend = \$575[/tex]
The amount left, after savings is:
[tex]Amount = Spend - Savings[/tex]
[tex]Amount = \$575 - \$354[/tex]
[tex]Amount = \$221[/tex]
The $221 would be spent on entertainments, clothing and charitable givings.
In budgets, 5% of total home pay is always allocated for entertainments and for clothing.
So, we have:
[tex]Clothing = 5\% \times Total[/tex]
[tex]Clothing = 5\% \times \$1770[/tex]
[tex]Clothing = \$88.5[/tex]
Also
[tex]Entertainment = Clothing = \$88.5[/tex]
The amount on charitable giving is:
[tex]Giving = Amount\ Left - Entertainment - Clothing[/tex]
[tex]Giving = \$221 - \$88.5 - \$88.5[/tex]
[tex]Giving = \$44[/tex]
Hence, the money would be allocated as follows:
[tex]Savings = \$354[/tex]
[tex]Clothing = \$88.5[/tex]
[tex]Entertainment = \$88.5[/tex]
[tex]Charitable\ Giving = \$44[/tex]
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A pyramid with a square base with dimensions 12 by 7 is shown. A cone is cut out of the center of the pyramid. The cone has a height of 10 and a diameter of 6. Which expressions represent the volume of the composite figure (the shaded figure)? Check all that apply. (7)(12)(10) – π(32)(10) One-third(7)(12)(10) – One-thirdπ(32)(10) One-third(7)(12)(10) + One-thirdπ(32)(10) 280 – 30π 280 + 30π 840 – 90π
Answer:
the 2nd one and 4th one
Step-by-step explanation:
i just did it
The expressions for the volume of the composite pyramid figure is given by A = One-third(7)(12)(10) - One-thirdπ(32)(10) = 280 - 30π
What is the volume of a pyramid?The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.
Volume of Pyramid = ( 1/3 )a²H
Given data ,
A pyramid with a square base with dimensions 12 by 7 is shown. A cone is cut out of the center of the pyramid.
The cone has a height of 10 and a diameter of 6.
The correct expression to represent the volume of the composite figure (the shaded figure) is:
One-third(7)(12)(10) - One-thirdπ(3)²(10) = 280 - 30π
So the expressions that apply are:
One-third(7)(12)(10) - One-thirdπ(32)(10) = 280 - 30π
Hence , the volume of pyramid is 280 - 30π
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Express 19/11
as a mixed number.
Answer:
1 8/11
Step-by-step explanation:
19/11
11 goes into 19 one time with 8 left over
put the 8 over the denominator
1 8/11
1 8/11
is the correct answer.
Find the shaded area.
Answer:
13.73
Step-by-step explanation:
Answer: 13.7345175425633 square feet
The rounding instructions are cut off, so it's not clear how you want to round this.
========================================================
Explanation:
The area of the square is 8*8 = 64 square feet.
The two unshaded semicircles combine to form a full circle of radius 4 ft. This circle has an area of A = pi*r^2 = pi*4^2 = 16pi square feet.
The shaded area is the result of taking the circle area away from the larger square area
shaded area = (area of large square) - (area of two semicircles)
shaded area = (area of large square) - (area of circle with radius 4)
shaded area = 64 - 16pi = exact value
shaded area = 13.7345175425633 = approximate value
Find the equation of the line parallel to x + y = 7 and through the point (-3,2). Write your answer in slope-intercept form.
Answer:
r:x+y=7 P0 (-3,2)
r// y=x
y-y0=m0(x-x0)
y-2=1(x+3)
y-2=x+3
y=x+5
please please please help
Answer:
The first one is (0.5,1)
second is (1.5,1)
Step-by-step explanation:
I will edit this for the second one sec
The table shows the results of a survey of college students. Find the probability that a student’s first class of the day is a humanities class, given the student is male. Round to the nearest thousandth.
Male Female
Humanities 70 80
Science 50 80
Other 60 70
A. 0.171
B. 0.467
C. 0.269
D. 0.389
Answer:D. 0.039
Step-by-step explanation:
The probability that a student is taking a humanities class, given the student is male, is 0.389 option (D) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
We have the total number of male students = 70+50+60 = 180
So, the total number of outcomes = 180
Total number of male students who take humanities class = 70
Now, the probability = 70/180 = 0.388 ≈ 0.389
Thus, the probability that a student is taking a humanities class, given the student is male, is 0.389 option (D) is correct.
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2(-6n+5)=4n+2(1-6n)
I need the answer
Answer:
n = 2
Step-by-step explanation:
2 (-6n + 5) = 4n + 2(1 - 6n)-12n + 10 = 4n + 2 - 12n4n = 8n = 2Joshua has a ladder that is 15 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 14.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 70°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer.
Joshua's 15 ft ladder, if leaned against the wall to reach a height of 14.8 ft, would be at an unsafe angle less than 70° and thus, is not safe to use in this manner.
Explanation:The student has asked whether Joshua's ladder, which is 15 feet long and is supposed to lean against a wall with the top at 14.8 feet above the ground, will be safe with an angle no greater than 70°. To determine this, we can use the trigonometric function cosine, which relates the adjacent side (the height at which the top of the ladder reaches the wall) to the hypotenuse (the length of the ladder) in a right-angled triangle. The cosine of the maximum safe angle (70°) should therefore be equal to or greater than the ratio of the height of the ladder against the wall (14.8 feet) to the length of the ladder (15 feet).
We calculate the cosine of 70°: cos(70°) ≈ 0.342. Then we calculate the ratio 14.8/15 which equals 0.9867. Since 0.9867 is much greater than 0.342, it means the ladder will form an angle that is less than 70°, which is not within the safe range as per Joshua's requirement.
Therefore, it is not safe for Joshua to lean the ladder in this manner because the angle formed will be steeper than the maximum safe angle of 70°, which may result in the ladder slipping.
Need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
It is 4 years
hope this helped and plz follow me!!
The math question is attached below.
Answer: 2700π
Step-by-step explanation: You've already answered part of the question. I used your info of the small circle(900π) and subtracted it from the big circle(3600π) and got 2700π
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Select the decimal that is equivalent to 44/11 . Choose 1 answer: (Choice A) 0.17 (Choice B) 0.\overline{17}0. 17 0, point, start overline, 17, end overline (Choice C) C 0.250.250, point, 25 (Choice D) D 0.2\overline{5}0.2 5 0, point, 2, start overline, 5, end overline (Choice E) E None of the above Stuck?Watch a video or use a hint.
Answer:
choice a is the answer
0.17
Step-by-step explanation:
Answer:
.25
Step-by-step explanation:
.25 is the only one that is equivalent to 11/44
hope this helps ^‿^
In the figure below, find the exact value of y. (Do not approximate your answer.)
Answer:
I need the answer
Step-by-step explanation:
Graph the data set . Which kind of model best describes the data?
Quadratic
Linear
Cubic
Exponential
Answer:
exponencialy = e0.6931xStep-by-step explanation:
Please Help!!! Braniest!!!!
What is the converse of a theorem?
A. A statement that is given
B. A statement that cannot be proven
C. A statement that is proved by two different theorems
D. A statement formed by transposing what is to be proved by a theorem and what is given
The converse of a theorem is created by reversing the hypothesis and the conclusion of the theorem's statement. The correct multiple-choice answer is 'D. A statement formed by transposing what is to be proved by a theorem and what is given.'
The converse of a theorem is a logical statement where the elements of the theorem's statement are switched. If you have a theorem that states "If A, then B," the converse of that theorem would be "If B, then A." This essentially transposes the hypothesis and the conclusion. In the context of the multiple-choice options provided, the correct answer is D.
A statement formed by transposing what is to be proved by a theorem and what is given. It's important to note that even though a theorem is proven true, its converse is not necessarily true and must be proven separately if it is to be accepted as true.
PLEASE ANSWER RN!! Which statement can be represented by the equation Two-fifths x + 9 = 9? Two-fifths of nine is a number. Two-fifths of a number is nine. Nine more than two-fifths of a number is nine. A number plus nine is the same as two-fifths of nine.
Answer:
Step-by-step explanation:
(2/5)x + 9 = 9 is equivalent to (2/5)x = 0
"Nine more than two-fifths of a number is nine" is correct.
Answer:
Nine more than two-fifths of a number is nine
Step-by-step explanation:
Please look at the attachment to help me solve this problem!! It would be very much appreciated!!!
Answer:
C
Step-by-step explanation:
Angles on a straight line is 180
Answer:
pretty sure it's the third option.
Step-by-step explanation:
I've done this before.e
If the determinant of this matrix is 24, what is the value of b?
[tex]\left[\begin{array}{ccc}-5&4&1\\5&-7&-4\\-6&b&6\end{array}\right][/tex]
Answer:
Step-by-step explanation:
Answer is B. 8
The value of b such that the determinant is 24 will be 8.
What is the matrix?matrix, a collection of numbers lined up in rows and columns to produce a rectangular array. The elements of the matrix, also known as the entry, are the numerals.
Matrix applications are crucial in many fields, including computer graphics, where they have been used to explain image transformations and other adjustments.
Given the matrix,
Its determinant will be
-5( -42 + 4b ) - 4(30 - 24 ) + 1(5b - 42 ) = 24
-15b + 144 = 24
15b = 120
b = 8
Hence the value of b will be 8.
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What is the factored form of this expression?
x2 + 17x + 60
Answer:
( x + 5 ) ( x + 12 )
Step-by-step explanation:
hope it helps
select the one answer. 2x+3x3
Answer:
2 times x plus 3 times x cubed.
Step-by-step explanation:
2x = 2 * x = two times (multiplied) by x.
+ = plus.
3x^3 = 3 * x^3 = three times (multiplied) by x cubed.
~
Kamden is a mind-reading alien. He had each friend draw and look at a card, then he guessed whether the card had a star on it.
This question is about Kamden, a mind-reading alien, guessing whether cards have a star on them using probability and counting.
Explanation:The subject of this question is Mathematics. Kamden, a mind-reading alien, has each of his friends draw and look at a card, and he tries to guess whether the card has a star on it.
This task involves probability and counting. If there are a total of 'n' cards and 'm' of them have a star on them, the probability of Kamden guessing correctly is m/n.
For example, if there are 10 cards and 3 of them have a star, the probability of Kamden guessing correctly is 3/10 or 30%.
A stained glass window has an area of 900 square inches.
a. One window design is made of rectangular stained glass pieces that are 5 inches by 3 inches. How many stained glass pieces are used in the window?
b. Another window design is made of square stained glass pieces that are 6 inches by 6 inches. How many stained glass pieces are used in the window?
Answer:
a. 60
b. 25
Step-by-step explanation:
Given that the stained glass window has an area of 900 square inches and this is made of smaller rectangular stained glass pieces, the number of smaller rectangular stained glass pieces used will be equal to the total area (900 square inches) to the area of the smaller rectangular piece.
The area A of the rectangular piece of length l and width w may be stated as
A = l * w
Hence given that
- One window design is made of rectangular stained glass pieces that are 5 inches by 3 inches, number of stained glass pieces are used in the window
= 900/(3 * 5)
= 60
- Another window design is made of square stained glass pieces that are 6 inches by 6 inches, number of stained glass pieces are used in the window
= 900/(6 * 6)
= 25
Answer:
a. 60 pieces
b. 25 pieces
Step-by-step explanation:
Hi, to answer this question we have to calculate the area of each rectangular stained glass.
Area = width x length
a.
5 x 3 = 15 square inches
Now we have to divide the area of the window by the area of each stained glass.
900/ 15 = 60 pieces
Same process for b
b.
6x6 = 36 square inches
900/36= 25 pieces
Feel free to ask for more if needed or if you did not understand something.
A rectangle has length x and width y.
The perimeter of the rectangle is 32.
Part A
Write an equation that represents the relationship between x and y described above.
Answer:
2x + 2y = 32
Step-by-step explanation:
2 sides of each rectangle are always equal to each other, and there's 2 pairs of that, top&bottom and side&side
The perimeter is all the sides added together, so it's x + x +y +y, which can be written as 2x + 2y
The relationship between the length (x) and width (y) of a rectangle with a perimeter of 32 can be represented by the equation 2*(x+y)=32, derived from the formula for the perimeter of a rectangle.
Explanation:The subject of this question is mathematics, specifically relating to geometry and algebra. To express the relationship between the length, x, and width, y, of a rectangle with a perimeter of 32, you can form an equation based on the formula for the perimeter of a rectangle.
The formula for the perimeter of a rectangle is 2*(length+width). In this case, the length is x and the width is y, and we know that the total perimeter is 32. This can be expressed in the following equation: 2*(x+y) = 32.
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What is the solution to the equation m/m+4 + 4/4-m = m^2/m^2-16 ?
Answer:
m= -2
Step-by-step explanation:
The solution is m = -2
Step-by-step explanation:
The given rational equation is
We'll simplify the left hand side first.
The LCD is (m+4)(4-m)
Hence, multiply and divide the first term by 4-m and second by m +4
Use the difference of squares rule
We can now add the numerator
On simplifying, we get
Add the like terms
Multiply and divide left hand side by -1
We can cancel the denominator
Divide both sides by 8
The solution is m = -2
1. Find the equation of the line that has a slope of 10 and a y-intercept of 15.
Use form y=mx+b
Answer:
y = 10x + 15
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = 10 and b = 15, thus
y = 10x + 15