Mathematics College

Scott has 10 1/2 yd of fabric to make banners for the community fair. He needs 1 3/4 yd for each banner.

Answers

Answer 1
(10 1/2) / (1 3/4) =
10.50 / 1.75 =
6 <== he can make 6 banners
Answer 2

Answer:

6

Step-by-step explanation:

I took the k12 2.12 Quiz: Divide Fractions

Related Questions

A water tank holds 24000 gallons. How many hours will it take for 2/3 of the water to be used if the water is used at an average rate of 650 gallons a day?

Answers

First, determine what 2/3 of 24000 gallons is.  That's 18000 gallons.

Next, divide this   18000 gallon amount by 650 gallons/da:

 18000 gal
----------------- =  27.69 days, or about 28 days.
650 gal/day
24000 Gallons / 650(gallons per day) =36.92 days to fill it fully. Now take 36.92 and multiply by (2/3)=24.61 days. (.61 days = 14 Hours and 36 minutes)

Divide m2n2/p3 by mp/n2 .

Answers

8n^2  /  3p^2

Hope it helped!

Answer:

The answer is 'm'.

Step-by-step explanation:

Here, the given expression,

[tex]\frac{\frac{m^2n^2}{p^3}}{\frac{mp}{n^2}}[/tex]

[tex]=\frac{m^2n^2\times n^2}{p^3\times mp}[/tex]  

[tex]=\frac{m^2n^{2+2}}{p^{3+1}m}[/tex]   ( [tex]a^m.a^n=a^{m+n}[/tex] )

[tex]=\frac{m^2p^4}{p^4m}[/tex]

[tex]=m^2p^4p^{-4}m^{-1}[/tex]    ( [tex]a^{m}=\frac{1}{a^{-m}}[/tex] )

[tex]=m^{2-1}p^{4-4}[/tex]

[tex]=m^1p^0[/tex]

[tex]=m[/tex]

whats the awnser is it 600

Answers

the answer will be C 520

3600/300 = 12

4800/400 = 12


the common ratio is 12 so divide pounds of milk by 12 to get pounds pf ice cream

6000 / 12 = 500

 Answer is B

Payout Annuities:
1. You want to be able to withdraw $30,000 from your account each year for 15 years after you retire.

You expect to retire in 30 years.

If your account earns 5% interest, how much will you need to deposit each year until retirement to achieve your retirement goals?

Answers

If deposit made at beginning of each year, then $4,686.87 per year is required. If deposit made at end of each year, then $4,921.21 per year is required. Assuming you can continue to get the 5% interest when you start withdrawing money, then this problem consists of two parts. Part 1. How much money must you have in the account when you start withdrawing? Part 2. How much must you deposit in order to reach the figure for part 1? Part 1 is fairly easily calculated, just figure it out in reverse. For example At the beginning of year 15, you have to have $30,000 in the account. Since you're getting 5% interest, that means that after you've made the withdraw at the beginning of year 14, you need to have $30,000/1.05 = $28,571.43 in the account. And since you'll be withdrawing $30,000 at the beginning of year 14, you need to have $28,571.43+$30,000 = $58,571.43 in the account at the beginning of year 14. Continuing this process in reverse (add 30000 to sum, divide by 1.05, repeat), you'll determine that your retirement fund has to have $326,959.23 in it when you make your first withdrawal of $30,000. Now you need to figure out how much you need to invest each year for 30 years at an interest rate of 5% to get the sum of $326,959.23 Assuming that you make your contribution at the end of each year, then the formula for the worth of your investment is V=C(((1 + r)Y - 1) / r) where C = Contribution r = interest rate Y = number of years V = Value Solving for C, gives V=C(((1 + r)Y - 1) / r) V/(((1 + r)Y - 1) / r)=C Substituting known values into formula: 326959.23/(((1 + 0.05)^30 - 1) / 0.05)=C 326959.23/((1.05^30 - 1) / 0.05)=C 326959.23/((4.321942375 - 1) / 0.05)=C 326959.23/(3.321942375 / 0.05)=C 326959.23/66.4388475=C 4921.21=C So if you invest $4,921.21 for 30 years at the end of each year, you'll have the required amount for your retirement fund. But if you can make your investment at the beginning of each year, you'll have an extra interest period and the formula for that case is V=C(((1 + r)^(Y + 1) - (1 + r)) / r) Solving for C, gives V/(((1 + r)^(Y + 1) - (1 + r)) / r)=C Substituting known values 326959.23/(((1 +0.05)^(30 + 1) - (1 + 0.05)) / 0.05)=C 326959.23/((1.05^31 - 1.05) / 0.05)=C 326959.23/((4.538039494 - 1.05) / 0.05)=C 326959.23/(3.488039494 / 0.05)=C 326959.23/69.76078988=C 4686.87=C So if you can make your investment at the beginning of each year for 30 years, then $4,686.87 will be enough to reach your retirement goal.
Final answer:

To achieve your retirement goals of withdrawing $30,000 per year for 15 years, you will need to deposit approximately $121,200 each year until retirement.

Explanation:

To determine how much you need to deposit each year until retirement, you can use the formula for the present value of an annuity. The formula is:



PV = PMT x ((1 - (1 + r)^-n) / r)



Where:



PV is the present value of the annuity,PMT is the annuity payment amount,r is the interest rate per period, andn is the number of periods.



In this case, the annuity payment amount is $30,000, the interest rate is 5%, and the number of periods is 15 years. Plugging these values into the formula:



PV = $30,000 x ((1 - (1 + 0.05)^-15) / 0.05)



Simplifying the equation:



PV = $30,000 x ((1 - 1.798) / 0.05)



PV = $30,000 x (0.202 / 0.05)



PV = $30,000 x 4.04



PV = $121,200



Therefore, you will need to deposit approximately $121,200 each year until retirement to achieve your retirement goals.

The veterinarian weighed Oliver’s new puppy, Boaz, on a defective scale. He weighed 46 pounds. However, Boaz weighs exactly 44.5 pounds. What is the percent of error in measurement of the defective scale to the nearest tenth?

Answers

The percent error is the absolute difference of the actual and measured values, divided by the actual value, multiplied by 100. In here, the actual value is 44.5 lb, while the measured value is 46 pounds. 

Percent error =  |44.5 - 46|/44.5 * 100 = 3.37%

In how many ways can 3 boys and 3 girls sit in a row if the boys and girls are each to sit together?

Answers

the answer would be 36 because theres 6 people and 6 seats so 6*6 = 36
Final answer:

The boys and girls are each to sit together, and there are 3 boys and 3 girls. The total number of ways to arrange them is 36.

Explanation:

The boys and girls are each to sit together, meaning that the boys should sit together in one group and the girls should sit together in another group. We can consider these two groups as two separate entities.

The number of ways to arrange the boys within their group is 3! (3 factorial), because there are 3 boys. Similarly, the number of ways to arrange the girls within their group is also 3!. Since these two groups can be arranged independently of each other, the total number of ways to arrange the boys and girls is 3! * 3! = 6 * 6 = 36.

G write the equation in spherical coordinates. (a) 7z2 = 8x2 + 8y2

Answers

Answer:

[tex]\displaystyle 7 \cos^2 \phi - 8 \sin^2 \phi = 0[/tex]

General Formulas and Concepts:
Multivariable Calculus

Spherical Coordinate Conversions:

[tex]\displaystyle r = \rho \sin \phi[/tex][tex]\displaystyle x = \rho \sin \phi \cos \theta[/tex][tex]\displaystyle z = \rho \cos \phi[/tex][tex]\displaystyle y = \rho \sin \phi \sin \theta[/tex][tex]\displaystyle \rho = \sqrt{x^2 + y^2 + z^2}[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle 7z^2 = 8x^2 + 8y^2[/tex]

Step 2: Convert

[Equation] Substitute in Spherical Coordinate Conversions:
[tex]\displaystyle 7( \rho \cos \phi )^2 = 8( \rho \sin \phi \cos \theta )^2 + 8( \rho \sin \phi \sin \theta )^2[/tex]Simplify:
[tex]\displaystyle 7 \rho^2 \cos^2 \phi = 8 \rho^2 \sin^2 \phi \cos^2 \theta + 8 \rho^2 \sin ^2 \phi \sin^2 \theta[/tex]Factor:
[tex]\displaystyle 7 \rho^2 \cos^2 \phi = 8 \rho^2 \sin^2 \phi \bigg( \sin^2 \theta + \cos ^2 \theta \bigg)[/tex]Simplify:
[tex]\displaystyle 7 \rho^2 \cos^2 \phi = 8 \rho^2 \sin^2 \phi[/tex]Simplify:
[tex]\displaystyle 7 \cos^2 \phi = 8 \sin^2 \phi[/tex]Rewrite:
[tex]\displaystyle 7 \cos^2 \phi - 8 \sin^2 \phi = 0[/tex]

∴ we have found the given equation in terms of spherical coordinates.

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Topic: Multivariable Calculus

Unit: Triple Integrals Applications

What percent of 43.75 is 70

Answers

62.5%
What I did was divided 43.75 by 70 to get 0.625.
Then I moved the decimal over two places to the right to get 62.5. 

f (x) = x5 − 8x4 + 21x3 − 12x2 − 22x + 20 Three roots of this polynomial function are −1, 1, and 3 + i. Which of the following describes the number and nature of all the roots of this function?
f (x) has two real roots and one imaginary root.

f (x) has three real roots.

f (x) has five real roots.

f (x) has three real roots and two imaginary roots.

Answers

Answer:

It's D on edge.

The f(x) has three real roots and two imaginary roots option (D) is correct.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a polynomial:

f(x) = x⁵ − 8x⁴ + 21x³ − 12x² − 22x + 20

The three roots of this polynomial function are −1, 1, and 3 + i.

We can write the function in a factored form:

f(x) = (x - 1)(x⁴ - 7x³ + 14x² +2x - 20)

Again factoring the above polynomial:

f(x) = (x - 1)(x + 1)(x - 2)(x² -6x + 10)

The roots of the polynomial are

x - 1 = 0

x = 1

x + 1 = 0

x = -1

x - 2 = 0

x = 2

x² - 6x + 10 = 0

The above quadratic equation has two complex roots.

x = 3 + i

x = 3 - i

Thus, the f(x) has three real roots and two imaginary roots option (D) is correct.

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What is the 4th term of the sequence?
a1 = 8 and an = 6 + an – 1
a4 =

Answers

[tex]\bf \begin{array}{ll} term&value\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ a_1&8\\\\ a_2&6+a_{n-1}\\ &6+a_{2-1}\\ &6+a_1\\ &6+8\\ &14\\\\ a_3&6+a_{3-1}\\ &6+a_2\\ &6+14\\\\ a_4&6+a_{4-1}\\ &6+a_3 \end{array}[/tex]

notice, is an arithmetic sequence, simply adding 6 to get the next term's value.

the quotient of a number and three is equal to negative eight

Answers

there are multiple answers to this

explain...................

Answers

First you change it into slope intercept and get y=3x+7. To make it perpendicular you flip the slope so 3/1 becomes 1/3. Then you make it the opposite so it becomes -1/3. The answer is y=-1/3x+7
The slopes of perpendicular lines are negative reciprocals. That means that when you multiply then together, you get -1.

The slopes of all the choices are easy to see because all the choices are in y = mx + b form, slope-intercept form.

If we write our equation in slope-intercept form also, then we can see its slope easily.

We solve -3x + y = 7 for y.
Add 3x to both sides to get
y = 3x + 7
The slope is 3.
We need a negative reciprocal slope to 3, so we need -1/3.

Only choice A has a slope of -1/3.

Answer: Choice A, y = -1/3x + 7

Can someone help me with this question?

State the Pythagorean Theorem and tell how you can use it to solve problems

Answers

The Pythagorean Theorem is [tex]a^{2} + b^{2} = c^{2} [/tex]

You can use the Pythagorean theorem to solve for the hypotenuse. For example lets say you have one side (a) equal to 3 and the other side (b) equal to 2. From there you can plug it in and find that the hypotenuse (c) is equal to 3.61
Hello, the Pythagorean Theorem states: the sum of the squares made on the sides is equivalent to the square made on the hypothenuse.

What does it mean? It may help you to draw a right triangle and to draw a square for each side. You can see that the sides of the triangle are the sides of the squares.

Then, if we sum the area of the squares on the sides (because they are equivalent = same area) we get the are of the square on the hypothenuse.

Call "a" and "b" the squares on the sides and "c" the squares on the hypothenuse.

a^2 + b^2 = c^2

Where can this Theorem be used? Of course, where you have to deal with geometry problems, in particular right triangles, rectangles and many more.

For example, we have to find the hypothenuse of a right triangle.


Let's follow the formula and we have that a = 4, b = 3...what's c?

4^2 + 3^2 = c^2

16+9 = c^2

25 = c^2

So, c^2 is 25.

We have c^2 but not c, so how do we solve it?

Simple, do the square root, c = square root of 25 = 5

Of course there are even inverse formulas:

a^2 = c^2 - b^2
b^2 = c^2 - a^2

PLZ ANSWER I BEG U
An airplane flies to San Francisco from Los Angeles in 4 hours. It flies back in 3 hours. If the wind is blowing from the north at a velocity of 20 mph during both flights, what was the airspeed of the plane (its speed in still air)?

Answers

the plane's airspeed is 140:)

Help me asap!!! :) please


Mark you a brainly!

Answers

30 /10 = 3

 so multiply 9 by 3

9*3 = 27

9/10 = 27/30

a = 27

It is estimated that there are 10^20 grains of sand on a beach in Florida in April. The beach is heavily eroded by tourists over the peak summer holiday season. Approximately one hundredth of the beach is removed as a result of this erosion. How many grains of sand are removed from the beach?

Answers

[tex]\bf \textit{how much is }\frac{1}{100}\quad of \quad 10^{20}?\implies \stackrel{\textit{one hundredth}}{\cfrac{1}{100}}\cdot 10^{20}\implies \cfrac{1}{10^2}\cdot 10^{20} \\\\\\ 10^{-2}\cdot 10^{20}\implies 10^{-2+20}\implies 10^{18} \\\\\\ 1,000,000,000,000,000,000~grains[/tex]

Answer:

c

Step-by-step explanation:

1/4 + -2/3 (SIMPLIFY)

Answers

Answer:

[tex]\large\boxed{\dfrac{1}{4}+-\dfrac{2}{3}=-\dfrac{5}{12}}[/tex]

Step-by-step explanation:

[tex]\dfrac{1}{4}+\left(-\dfrac{2}{3}\right)=\dfrac{1}{4}-\dfrac{2}{3}\\\\\text{You must find the common denominator.}\\\\\text{List of multiples of 3:}\ 0,\ 3,\ 6,\ 9,\ \boxed{12},\ 15,\ ...\\\text{List of multiples of 4:}\ 0,\ 4,\ 8,\ \boxed{12},\ 16,\ ...\\\\\text{The common denominator is}\ \boxeed{12}.\\\\3\cdot4=12\\\\\dfrac{1}{4}=\dfrac{1\cdot3}{4\cdot3}=\dfrac{3}{12}\\\\\dfrac{2}{3}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{8}{12}\\\\\\\dfrac{1}{4}-\dfrac{2}{3}=\dfrac{3}{12}-\dfrac{8}{12}=\dfrac{3-8}{12}=-\dfrac{5}{12}[/tex]

Mr.Chaves spent $199.99 for a new smart phone $39.99 on a carrying case, and $59.99 on accesiories. The expression l-199.99l+l39.99l+l59.99l represents the total amount that Mr.Chaves spent. How much did he spend all together.

First answer will get brainiliest

Answers

just add 199.99 + 39.99 + 59.99 because an absolute value always equals a positive even if there is a negative like [ - 199.99]

____ provides a greater degree of security by implementing port-based authentication. ieee 802.3ad ieee 802.11n ieee 802.1x ieee 802.1z

Answers

Hello!

The correct answer for the blank is: IEEE 802.1x

I hope you found this helpful! :)

For problems 2-3: data were collected on the contents of 1-kilogram sugar packets of brands 1 and 2. assume contents are normally distributed. let and be the true average and standard deviation of contents for brand ( = 1, 2). data summaries are given below. data summary brand 1: = 16, ̅ = 1.053, = 0.058 brand 2: = 16, ̅ = 1.071, = 0.062 2. we would like to determine if there is evidence that brand 1 has a lower average content that brand 2. what hypothesis test will we conduct?
a. : − = 0 versus : − ≠ 0
b. : − = 0 versus : − > 0
c. : − < 0 versus : − = 0
d. : − = 0 versus : − < 0 3. what is the value of the test statistic for testing : = ?
a. 0.9355
b. 0.8751
c. −0.018
d. −0.848

Answers

the answer d right  answer

the senior is having a car wash to raise money. They can wash about 35 cars in 5 hours. if they are washing the same number of cars each hour, how many cars do they wash in 1 hour

Answers

they wash about 8.6 cars in 1 hour

Hello!

your answer is 75 • $6 - $35

next time add the answers too for these questions that's why the other guy didn't give you the right answer

For integer values of a and b, b^a = 8. The ratio of a to b is equivalent to the ratio of c to d, where c and d are integers. What is the value of c when d = 10?

Answers

the only integer values to fit b^a = 8 would be 2^3, knowing this you can set up  a proportion where 
3:2  =  c:10
c is then equal to 10/2 *3 
15

To find the value of c when d = 10, we first need to determine the values of a and b. Given that b^a = 8, we know that 8 is the result of raising b to the power of a.

Since the question states that a and b are integers, there are a limited number of possibilities to consider. Let's examine the possible combinations of a and b that satisfy this equation: [tex]1^3 = 1 2^3 = 8 3^2 = 9[/tex](which is not 8) [tex]4^2 = 16[/tex] (which is not 8) [tex]5^1 = 5 6^1 = 6 7^1 = 7 8^1 = 8[/tex]From these calculations, we find that the only combination that satisfies the equation is a = 3 and b = 2. Now, let's consider the ratio of a to b and the ratio of c to d.

The ratio of a to b is a/b = 3/2. The question states that the ratio of a to b is equivalent to the ratio of c to d, which means: a/b = c/d Given that d = 10, we can substitute the value into the equation: [tex]3/2 = c/10[/tex] Next, we can cross-multiply to solve for c: [tex]3 * 10 = 2 * c 30 = 2[/tex] c Dividing both sides by 2, we get: c = 15 Therefore, when d = 10, the value of c is 15. In conclusion, when d = 10, the value of c is 15 based on the given equation and calculations.

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find the area of the figure (sides meet at right angles)

Answers

4mm + 2mm + 12mm
18mm
18mm

The mass of a radioactive element at time x is given by the equation below, where c is the original mass and h is the half-life of the element. The half-life of a substance is 4.9 years. How long will it take for 36 grams to decay to 10 grams? (Round your answer to one decimal place.)
M(x)=c(.5^x/h)

Answers

[tex]\bf M(x)=c(0.5)^{\frac{x}{h}}\implies 10=36(0.5)^{\frac{x}{4.9}}\implies \cfrac{10}{36}=0.5^{\frac{x}{4.9}} \\\\\\ \cfrac{5}{18}=0.5^{\frac{x}{4.9}}\implies log\left( \frac{5}{18} \right)=log\left( 0.5^{\frac{x}{4.9}} \right) \\\\\\ log\left( \frac{5}{18} \right)={\frac{x}{4.9}}\cdot log\left( 0.5 \right)\implies \cfrac{4.9\cdot log\left( \frac{5}{18} \right)}{log(0.5)}=x[/tex]

Which equations have a greater unit rate than the rate represented in the table?
Choose more than one
x y
-----
3 2
6 4
9 6

A. y=5/7x
B. y=3/5x
C. y=1/3x
D. y=7/9x
E. y= 7/11x

Answers

Table slope = (4-2)/((6-3) = 2/3

A. 5/7 > 2/3
B. 3/5 < 2/3
C. 1/3 < 2/3
D. 7/9 > 2/3
E. 7/11< 2/3

(a) y=5/7x and (d) y=7/9x  have a greater unit rate than the rate represented in the table.

What is slope intercept form?

y=mx+c is the slope intercept form where m is the slope and c is y intercept.

The given table is

x  3   6   9

y  2   4    6

The formula to calculate slope is m =y₂-y₁/x₂-x₁

(3,2 ) and (6, 4) are two points.

x₁=3, y₁=2 , x₂=6 and y₂=4

m=4-2/6-3

m=2/3.

Now let us check the equation with greatest slope

(a)  y=5/7x

5/7 > 2/3

(b) y=3/5x

3/5 < 2/3

(c) y=1/3x

1/3 < 2/3

(d) y=7/9x

7/9 > 2/3

(e) y= 7/11x

7/11< 2/3

Hence  (a) y=5/7x and (d) y=7/9x  have a greater unit rate than the rate represented in the table.

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A disc jockey must allow time for 24 minutes of commercials every hour, along with 4 minutes for news, 3 minutes for weather, and 2 minutes for public-service announcements. If each record lasts and average of 3 minutes, how many records per hour can the DJ play?

Answers

about 11 records per hour

A package of breadcrumbs to feed the ducks at the duck pond costs $0.25. How many packages of bread crumbs could be bought with $23.50

Answers

23.50 divided by .25 = 94
How you find that out would be by dividing $23.50 by $0.25.

23.50÷0.25=94

You would be able to buy 94 packs of bread crumbs with $23.50.

[tex]r \frac{8}{11} r \frac{10}{11} [/tex] Simplify. Write your answer using a single, positive rational exponent

Answers

hmmmm I take it  you meant those rationals to be exponents, so hmmm asumming that,

[tex]\bf r^{^\frac{8}{11}}\cdot r^{^\frac{10}{11}}\implies r^{^{\frac{8}{11}+\frac{10}{11}}}\implies r^{^\frac{18}{11}}[/tex]

Is m=0.75d-2 proportional?

Answers

no, a proportion will have a constant for the ratio m/d

If m = 0.75d, then ratio m/d = (0.75d)/d = 0.75

In this example, the ratio is (.75d-2)/d = 0.75 - (2/d).

Therefore, it is not proportional.

Answer:

No, the equation m=0.75d-2 does not represent proportional relationship.

Step-by-step explanation:

The given equation is

[tex]m=0.75d-2[/tex]

We need to check whether the given equation represents proportional relationship or not.

If variable y is proportional to variable x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

where, k is the constant of proportionality.

At x=0 the value of y is 0. It means, if a linear equation represents proportional relationship then it must be passes though the origin.

Substitute d=0 in the given equation.

[tex]m=0.75(0)-2[/tex]

[tex]m=-2[/tex]

The line passes through the point (0,-2).

Since the line does not pass through the origin, therefore it does not represent proportional relationship.

A 7 pound bag of grass seed covers 2,000 square feet. How many pounds would be needed to cover 35,000 square feet? Round your answer to the nearest pound.

Answers

5,000 pounds..hope this helps

35000 / 2000 = 17.5

17.5 * 7 = 122.5 pounds round to 123 pounds are needed

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