Mathematics College

2/3 of a number is 32, what is the number?

Answers

Answer 1

2/3×a=32
a=32×3/2
a=96/2
a=48
The number is 48

Answer 2

2/3n = 32
Integers:- 3/2•2/3 = 32/1 = 3/2 = 96/2 = 48

Related Questions

A 8.5
B 8.1
C 12.5
D 12.9

Answers

Cosine again. Yay.

Put 36 into a fancy calculator with one of those cos() things. You get about 0.81.

So that's the ratio between x and 10.

So basically x/10 = 0.81, or 0.81 * 10 = x.

8.1 = x

Find the measure of the angle and please explain step by step

Answers

angle 4 is the same as angle 8

angle 7 & angle 8 has to equal 180 degree

so angle 7 and angle 4 also have to equal 180

angle 4 is 3 times the size of 7

lets call 7 (x)

so 4(x) = 180

180/4 =45

x=45

angle 7 is 45 degrees

A _____ is the composition of a translation and a reflection across a line parallel to the direction of translation. glide reflection tessellation rotation dilation

Answers

A translation followed by a reflection is called a 'glide reflection'

Answer:

Glide reflection

Step-by-step explanation:

A glide reflection is a composition of a translation and a reflection across a line parallel to the direction of translation. A glide reflection requires a translation on a figure, which is then reflected over a line. This is a symmetry operation that requires a translation rule and a line to reflect over. A common example of this are footsteps in the sand.

What is the length of a diagonal of a square with a side length of 6?

Answers

By the Pythagorean Theorem:

d^2=x^2+y^2, where x and y are the dimensions of the rectangle, however this is just a square, so x=y=s so

d^2=s^2+s^2

d^2=2s^2, and we are told that s=6 so

d^2=2(6^2)

d^2=2(36)

d=√(2(36))

d=6√2 units

d≈8.49 units (to nearest hundredth of a unit)

d = 8.49

I- - - - - - - - - - - - I
I I
I d I a
I I
I I
I- - - - - - - - - - - - I

Fill in the blank. In the triangle below x = ______. Round your answer to two decimal places.

Answers

tan42°=x/35

x=35tan42° units

x≈31.51 units (to nearest hundredth of a unit)

Answer:

[tex]x=31.51\ units[/tex]

Step-by-step explanation:

we know that

In the right triangle

[tex]tan(42\°)=x/35[/tex]

isolate the variable x

[tex]x=35tan(42\°)=31.51\ units[/tex]

Add (11a + 4b) + (a +4b - 2)

A) 12a + 8b - 2
B) 12a - 2
C) 11a - 2
D) 11a + 8b - 2

Answers

The answer to that question is A.

The Darnells are having a swimming pool installed. The pool has a radius of 14 feet and a height of 4 feet. What is the volume of the pool? Use 3.14 for pi .

Answers

volume = pi x r^2 x h

3.14 x 4 x 14^2 = 2461.76 cubic feet

Fixed the typo I had in my answer.

Answer:

So volume of the swimming pool is 2461.76 feet³.

Step-by-step explanation:

The Darnells are having a swimming pool installed.

The pool has a radius of 14 feet and height of 4 feet.

Since pool is in the form of a cylinder so volume of cylinder

= πr²h

= π (14)² × 4

= (3.14) (196) × 4

= 2461.76 cubic feet.

So volume of the swimming pool is 2461.76 feet³.

A parachutist's rate during a free fall reaches 165 feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 5 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.

Answers

Answer: [tex]250\ m[/tex]

Step-by-step explanation:

Assuming that:

[tex]1\ m=3.3\ ft[/tex]

We can make the conversion from feet per second to meters per second with this procedure:

[tex](165\ \frac{ft}{s})(\frac{1\ m}{3.3\ ft})=50\ \frac{m}{s}[/tex]

Let be "x" the amount of meters the parachutist will fall during 5 seconds of free fall

Knowing that in 1 second the parachutist falls 50 meters, we can calculate "x" by solving the following multiplication:

[tex]x=(50\ \frac{m}{s})(5\ s)\\\\x=250\ m[/tex]

Final answer:

The parachutist's rate of free fall is 165 feet per second, which is equivalent to 50 meters per second. The parachutist will fall approximately 250 meters during 5 seconds of free fall.

Explanation:

To convert the rate of 165 feet per second to meters per second, we need to use the conversion factor of 1 meter equals 3.3 feet. So, the rate in meters per second is 165 feet per second divided by 3.3 feet per meter, which equals 50 meters per second.

To find how many meters the parachutist will fall during 5 seconds of free fall, we can multiply the rate of 50 meters per second by the time of 5 seconds. This gives us 250 meters of free fall during 5 seconds.

I need help with a homework assignment:

Write each series in summation notation beginning with k = 1.

1/2 + 2/3 + 3/4 + 4/5 + 5/6

−11 + 12 − 13 + 14 − 15 + 16

9 − 16 + 25 − 36 + 49 − 64

3 + (3/2) + 1 + (3/4) + (3/5)

I get the numbers that go under and on top of the sigma, I need help deriving the explicit value for the sequence that goes on the right of the sigma.
Thanks

Answers

[tex]\bf \cfrac{1}{2},\cfrac{2}{3},\cfrac{3}{4},\cfrac{4}{5},\cfrac{5}{6}\qquad \sum\limits_{k=1}^5\ \cfrac{k}{k+1} \\\\\\ -11,12,-13,14,-15,16\qquad \sum\limits_{k=1}^6\ (-1)^k(k+10)\\\\ -------------------------------\\\\ \begin{array}{lllllllllll} 9&,&-16&,&25&,&-36&,&49&,&-64\\\\ (3)^2&,&-(4)^2&,&(5)^2&,&-(6)^2&,&(7)^2&,&-(8)^2 \end{array} \\\\\\ \sum\limits_{k=1}^6\ (-1)^{k+1}(k+2)^2[/tex]

[tex]\bf -------------------------------\\\\ \begin{array}{lllllllllll} 3&,&\frac{3}{2}&,&1&,&\frac{3}{4}&,&\frac{3}{5}\\\\ \frac{3}{1}&,&\frac{3}{2}&,&\frac{3}{3}&,&\frac{3}{4}&,&\frac{3}{5} \end{array}\qquad \sum\limits_{k=1}^5\ \cfrac{3}{k}[/tex]

what number is 115% of 73.8?

Answers

To find this, multiply 73.8 by the decimal form of the percent (1.15) to get 84.87

115% of 73.8 is about 84.8

If Q is directly proportional to P and Q = 28 when P = 4

i) express Q in terms of P
ii) find the value of Q when P=5
iii) calculate the value of P when Q = 42

Answers

Answer:

May be !

i> Q = 7P

ii> when p =5 then from above eqn we can find Q = 7p and = 7×5=35

iii> from eqn i we can write p = Q/7 So when Q=42 then P=Q/7=42/7=6

The assembly department started the month with 17,500 units in its beginning work in process inventory. an additional 288,000 units were transferred in from the prior department during the month to begin processing in the assembly department. there were 29,250 units in the ending work in process inventory of the assembly department. how many units were transferred to the next processing department during the month?

Answers

Units completed and transferred out=beginning work in process+units started or transferred in - ending work in process

Units completed and transferred out=17,500+288,000−29,250
=276,250

Simplify 2(f^4)^2 f^3 divided by 6f^9

Answers

((2f^4)^2*f^3)/(6f^9)

pertinent rules of exponents:

(a^b)^c=a^(b*c), (a^b)(a^c)=a^(b+c), and (a^b)/(a^c)=a^(b-c) so

(2f^(4*2)*f^3)/(6f^9)

(2f^8*f^3)/(6f^9)

(2f^(8+3))/(6f^9)

(2f^11)/(6f^9)

(2/6)(f^11/f^9)

(1/3)(f^(11-9)

(1/3)(f^2)

(f^2)/3

Final answer:

The expression 2(f^4)^2 f^3 divided by 6f^9 simplifies to 1/3 f^2, after applying the properties of exponents and dividing coefficients.

Explanation:

To simplify the expression 2(f^4)^2 f^3 divided by 6f^9, we need to use the properties of exponents. First, we simplify (f^4)^2 by multiplying the exponents, which gives us f^8.

Then, we multiply f^8 by f^3 to get f^11. Next, we divide our new expression 2f^11 by 6f^9. This can be done by dividing the coefficients (2 divided by 6) and subtracting the exponents of f (11 minus 9), resulting in f^2 over 3, or 1/3 f^2.

From September 1981 to September 1984 the enrollment at a particular school declined to 11%. If the number of students enrolled at that school in September 1984 was 712 what was the enrollment in September 1981?

a) 78 b) 634 c) 701
d) 790 e)800

Answers

634, you have to multiply it by 89% of the original number, 712, to deduct 11%

Question part points submissions used use a power series to approximate the definite integral, i, to six decimal places. 0.3 ln(1 + x4) dx 0

Answers

[tex]\ln(1+x)=\displaystyle-\sum_{n=1}^\infty\frac{(-x)^n}n[/tex]

[tex]\implies\ln(1+x^4)=\displaystyle-\sum_{n=1}^\infty\frac{(-x^4)^n}n[/tex]

[tex]\displaystyle-\int_0^{0.3}\sum_{n=1}^\infty\frac{(-x^4)^n}n\,\mathrm dx[/tex]
[tex]=\displaystyle\sum_{n=1}^\infty\frac{(-1)^{n+1}}n\int_0^{0.3}x^{4n}\,\mathrm dx[/tex]
[tex]=\displaystyle\sum_{n=1}^\infty\frac{(-1)^{n+1}}n\dfrac{x^{4n+1}}{4n+1}\bigg|_0^{0.3}[/tex]
[tex]=\displaystyle\sum_{n=1}^\infty\frac{(-1)^{n+1}(0.3)^{4n+1}}{n(4n+1)}[/tex]
[tex]\approx0.000485[/tex]

Ellen has $75 in her savings account. She deposits $25 every week. Her father also deposits $35 into the account every time Ellen mows the lawn. Her savings account balance can be shown with the following expression: 75 + 25w + 35m Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points) Part B: If Ellen saves for 8 weeks and mows the lawn 2 times, how much will she have in her account? Show your work to receive full credit. (4 points) Part C: If Ellen had $95 in her savings account, would the coefficient, variable, or constant in the expression change? Why?

Answers

Saving = $75 + 25.w + 35.m

A. 75 = constant, since it's a deposit not related to any transaction
w and m are 2 variables
25 and 35 are 2 coefficient to w and m respectively

B. Saving = 75 + 25(8) + 35(2)
Saving = $345

C. If Ellen had $95 instead of $75, we will just replace $75 with $98, this will NOT AT ALL AFFECT neither the duration (number of weeks) nor the number of times she mows the loan. Only previously said ONLY The Coefficient will change

-----------------------------------------
A coefficient is the '25' in 25m
A variable is the 'm' in 35m <-------- Part A
A constant is the 75.
-----------------------------------------
8x25=200
35x2=70 <----------- Part B
200+70=270+75=345
Ellen will have $345.
-----------------------------------------
Yes, but only the constant would change.
The new expression would be: 95+25w+35m. <----- Part C
The coefficient and variable wouldn't change because she still
deposits $25 a week and gets $35 every time she mows the lawn.

how to write 293,805 in standard and expanded form

Answers

293805 in

1) standard form : 293805

2) expanded form : 200000 + 90000 + 3000 + 800 + 5

Hope it helped!

karens penny bank is 1/5 full. after she adds 280 pennies it is now 7/10 full how many pennies can karens bank hold?

Answers

7/10-1/5 = 7/10-2/10 = 5/10 = 1/2

so 280 pennies fills 1/2 of her piggy bank

so 280*2 = 560

her piggy bank can hold 560 pennies

Write the event as a set of outcomes. We flip three coins and obtain more tails than heads.

Answers

We start by listing the outcome of flipping two coins. The first table shows the outcomes HH, HT, TH, and TT. These outcomes then become the input combined with the third coins, as shown in the second table.

We have 8 outcomes in total: HHH, HHT, HHT, TTH, HHT, HTT, TTH, and TTT

The probability that we obtain more tails than heads is 4/8

A triangle has an area of 56 square units its height is 14 units what is the length of its base

Answers

the length of the base is 8
area=56
height= 14
A=1/2 bh
56=1/2 b(14)
56=b(14)/2
8=b

The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63 inches and a standard deviation of 0.03 inch. if you select a random sample of 9 tennis balls, what is the probability that the sample mean is between 2.62 and 2.64 inches

Answers

Final answer:

The probability that the sample mean diameter is between 2.62 and 2.64 inches is approximately 68.27%, calculated using the Central Limit Theorem to find the standard error and z-scores.

Explanation:

To calculate the probability that the sample mean diameter of the tennis balls is between 2.62 and 2.64 inches, we can use the Central Limit Theorem since we are dealing with a sample of tennis balls rather than just one. The Central Limit Theorem tells us that the sampling distribution of the sample mean will be normally distributed with a mean equal to the population mean (μ) and a standard deviation equal to the population standard deviation (σ) divided by the square root of the sample size (n), which is called the standard error (SE).

Given that the population mean (μ) is 2.63 inches, the population standard deviation (σ) is 0.03 inch, and the sample size (n) is 9, we first calculate the standard error (SE) as follows:

SE = σ / √n = 0.03 / √9 = 0.03 / 3 = 0.01 inch.

Next, we convert the sample mean range (2.62, 2.64) to z-scores, which are measures of how many standard deviations an element is from the mean.

Z for 2.62 = (2.62 - μ) / SE = (2.62 - 2.63) / 0.01 = -0.01 / 0.01 = -1
Z for 2.64 = (2.64 - μ) / SE = (2.64 - 2.63) / 0.01 = 0.01 / 0.01 = 1

Using a standard normal distribution table or calculator, we find the probabilities corresponding to these z-scores. The probability of a z-score being between -1 and 1 is approximately 0.6827 (68.27%).

Therefore, the probability that the sample mean diameter is between 2.62 and 2.64 inches is approximately 68.27%.

Let f(x) = -10x-18 and g(x) = -3x, find (f-g)(x)

Answers

For this, we simply do -10x-18-(-3x)=-10x+3x-18=-7x-18

If a pitcher strikes out 5 batters in 4 innings how many batters is it likely he will strike out in, 9 innings round to the nearest whole number

Answers

[tex]\bf \begin{array}{ccllll} batters&innings\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 5&4\\ x&9 \end{array}\implies \cfrac{5}{x}=\cfrac{4}{9}[/tex]

solve for "x".

A can in the shape of a right cylinder is filled with 10W-40 oil. The weight of 10W-40 oil is 0.857 gram per cubic centimeter. If the cylinder has a radius of length 5 cm and a height of 10 cm, calculate the weight of the oil (in grams) in the can. Round your answer to the nearest tenth. Use 3.14 for pi

Answers

The growth of a new strain of bacteria is represented by 7=79.31(1.48)^x,where x represents the number of days and y represents the number of bacteria. which is the best prediction for the number of bacteria on day 6
A.833B.117C.704D.647

Answer: Weight of the oil is 672.74 grams.

Step-by-step explanation:

Since we have given that

Radius of cylinder = 5 cm

Height of cylinder = 10 cm

Volume of cylinder would be

[tex]\pi r^2h\\\\=3.14\times 5\times 5\times 10\\\\=785\ cm^3[/tex]

Weight of 10W-40 oil = 0.857 grams per cubic cm

So, Weight of the oil in the can would be

Volume × Weight per cm³

[tex]=785.71\times 0.857\\\\=672.74\ grams[/tex]

Hence, Weight of the oil is 672.74 grams.

What is 6 increased by a number?

Answers

6 increased by a number in algebraic terms would be 6+x.

A computer printer can print a 800-word document in 32 seconds. At this rate, how many seconds are required to print a document that contains 880 words?

Answers

Cancel out units you don't want in your final answer...

880w(32sec/800w)=35.2 seconds

05.01)A company makes triangular plates for individual slices of pizza. For each plate, the base is 5 inches and the height is 16 inches. The area of the top of the plate is ____ inches squared

Answers

5×16[tex] \frac{5x16}{2} [/tex]2=the answer

Answer: 40 inches squared

Step-by-step explanation:

1. first, you multiply, do 5*16 what does that give you? (80)

2. then, divide your answer by 2 what do you get? (40)

3. lastly, it should look like this: 5*16=(answer)/2=(answer)

hope this helps

A triangle is dilated by a scale factor of n = 1/3 . Which statement is true regarding the dilation?

It is a reduction because n > 1.

It is a reduction because 0 < n < 1.

It is an enlargement because n > 1.

It is an enlargement because 0 > n > 1

Answers

Answer: The second statement is true. It is a reduction because 0 < n < 1.

Step-by-step explanation:

Given: A triangle is dilated by a scale factor of n = 1/3 .

as n is less than 1 but greater than 0.

A dilation is a rigid transformation that forms an image that is the same shape as of the original figure, but with a different size. A dilation transform a figure by scalar factor 'n' about the center of dilation is a fixed point in the plane which never change.

A dilation that forms a larger image is known as enlargement. A dilation that forms a smaller image is known as reduction.

• If n is greater than 1, then the image is an enlargement.

• If n is between 0 and 1, then the image is a reduction .

• If n is 1, the figure and then the image are exactly same.

Answer:

2nd statement

Step-by-step explanation:

Lebron scored a basket 72 times out of 150 shots. what percent of his shots did he score?
a. 42%
b. 50%
c. 48%
d. 63%

Answers

48 percent. Make an equation 72/150=x/100

Solve for x.

X=48, i.e. 48%

3x+17-5x=12-(6x+3) can someone help

Answers

3x+17-5x=12-(6x+3)

-2x+17=12-6x-3

-2x+17=9-6x

17=9-4x

8=-4x

x=-2

3x+17-5x=12-(6x+3)
-2x17=12-6x+3
-2x+17=9-6x
2x+6x=9-17
4x=-8
x=-2

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