A football Waze proximately 0.42 kg. The physical education teacher needs to purchase a dozen footballs. What will be the total weight, in kilograms, of the footballs to calculate shipping and handling?

The value of the variable x = 21/32

Algebraic expressions are simply described as expressions that are composed of variables, coefficients, terms, constants and factors.

These expressions are also made up of certain arithmetic or mathematical operations.

These operations includes;

From the information given, we have that;

3/8=4/7x

cross multiply the values, we have;

7x(3) = 8(4)

multiply the values and expand the brackets, we get the values;

21x = 32

Divide both sides by the coefficient of the variable x, we get;

x = 32/21

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Answer:

M = 70° ( base angles of isosceles triangles are equal)

Answer: M = 70° ( base angles of isosceles triangles are equal)

Step-by-step explanation:

Answer:

Sure, I'd be happy to help you with that!

To calculate Dan's earnings with simple interest, we can use the following formula:

I = P * r * t

where:

I = interest earned

P = principal amount (initial investment)

r = interest rate (as a decimal)

t = time period (in years)

We know that Dan invests £2500 and receives 5% simple interest per year, so:

P = £2500

r = 0.05

t = 2 years

Plugging these values into the formula, we get:

I = £2500 * 0.05 * 2

I = £250

This means that Dan will earn £250 in interest over the 2-year period.

To calculate Dan's total earnings, we simply add the interest earned to the initial investment:

Total earnings = £2500 + £250

Total earnings = £2750

Therefore, Dan will have £2750 in his bank account after 2 years.

Answer:

2/15

Step-by-step explanation:

Take the fractions of the park for sports and multiply the fraction of the sports that is for soccer.  That will give the fraction of the park that is for soccer

1/3 * 2/5 = 2/15

Merchandising math is a multifaceted topic that involves many levels of the retail process, including assortment planning, vendor analysis, mark-up and pricing, and terms of sale.

I hope this helps :)

Answer:

350 cubes

Step-by-step explanation:

10x7x5=350

\(\\ \sf\longmapsto {\displaystyle{\int}}(sinx.cosx.tanx) dx\)

\(\\ \sf\longmapsto {\displaystyle{\int}}sinx.\cancel{cosx}.\dfrac{sinx}{\cancel{cosx}}dx\)

\(\\ \sf\longmapsto {\displaystyle{\int}}sinx.sinx \:dx\)

\(\\ \sf\longmapsto {\displaystyle{\int}}sin^2x\:dx\)

\(\\ \sf\longmapsto {\displaystyle{\int}}\dfrac{1-cos2x}{2}dx\)

\(\\ \sf\longmapsto \dfrac{1}{2}{\displaystyle{\int}}1-cos2x\)

\(\\ \sf\longmapsto \dfrac{1}{2}{\displaystyle{\int}}dx-\dfrac{1}{2}{\displaystyle{\int}}cos2x\)

\(\\ \sf\longmapsto \dfrac{1}{2}x-\dfrac{1}{2}{\displaystyle{\int}}cos2xdx\)

Here Taking

Then

Now put values

\(\\ \sf\longmapsto \dfrac{1}{2}du=dx\)

Then

\(\\ \sf\longmapsto \dfrac{1}{2}x-\dfrac{1}{2}{\displaystyle{\int}}cos2xdx\)

\(\\ \sf\longmapsto \dfrac{1}{2}x-\dfrac{1}{2}\times \dfrac{1}{2}{\displaystyle{\int}}cosudu\)

\(\\ \sf\longmapsto \dfrac{1}{2}x-\dfrac{1}{4}{\displaystyle{\int}}cosudu\)

\(\\ \sf\longmapsto \dfrac{1}{2}x-\dfrac{1}{4}sin u\)

\(\\ \sf\longmapsto\underline{\boxed{\bf{\dfrac{1}{2}x-\dfrac{1}{4}sin 2x+C}}}\)

There are a total of 3 forwards on the team.

A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar

Given:

2/8 of the players are forwards.

Total number of players on the team = 12

We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.

Fraction representing the forwards:

= 2/8

= 1/4

Total forwards on the team:

= 12 * (1/4)

= 3.

Translated question:

Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?

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Answer:

5-4=12x+x

1=13x

1/13=×

Answer:

97.31 \(m^2\)

Step-by-step explanation:

The area of the octagon is:

\(\frac{8 * 5.3 * 2.65\sqrt{3} }{2}\) ~97.31 m^2

Based on each given parallelogram, the correct answers are:

Let's try to solve each parallelogram problems

1. In paralellogram, each parallel sides have equal lengths; then:

x // 9; then x = 9

y // 15; then y = 15

2.  In paralellogram, each parallel sides have equal lengths; then:

m + 1 // 5; then m + 1 = 5

m = 4

n // 10; then n = 10

3.  In paralellogram, each parallel sides have equal lengths; then:

z - 8 // 20; then z - 8 = 20

z = 28

Opposite angles share the same size; then:

d - 21 = 105

d = 126

4. Uncomplete screenshot

5. In parallelogram, adjacent angles is supplementary to each other; then:

∠A + ∠B = 180°

51 + ∠B = 180°

∠B = 129°

6. In parallelogram, adjacent angles is supplementary to each other; then:

∠M + ∠N = 180°

95 + ∠N = 180°

∠N = 85°

In the given parallelogram LMNQ, the length of MP is 8.2 and PN is 7. Angle ∠MQN is 29° and ∠MLQ is 100°.

7. LM can be calculated by focusing on triangle MLQ. Under the Sinus Law, we can find that:

LM / sin LQM = MQ / sin MLQ

MQ is one of the parallelogram diagonal. MP is the mid point, then MQ is twice of MP.

MQ = 2(8.2) = 16.4

∠MLQ = 100°

∠LQN = 180° - 100°

∠LQN = 80°

∠LQN = ∠LQM + ∠MQN

80° = ∠LQM + 29°

∠LQM = 51°

LM / sin 51 = 16.4 / sin 100

LM / 0.78 = 16.4 / 0.98

LM = 12.9 = 13

8. LQ is parallel with MN; then they share the same length.

LQ = MN

MN can be calculated by focusing on triangle QMN. Under the Sinus Law:

MN / sin MQN = MQ / sin MNQ

∠MNQ is the opposite angle of ∠LMQ, then ∠MNQ = ∠LMQ = 100

MN / sin 29 = 16.4 / sin 100

MN = 8.07

9. LP = PN = 7

10. MQ = 2 x MP

MQ = 2(8.2)

MQ = 16.4

11. ∠LMN = ∠LQN = 80°

12. ∠NQL = 80°

13. ∠MNQ = ∠MLQ = 100°

14. ∠LMQ is the alternate interior angle of ∠MQN; then ∠LMQ = ∠MQN = 29°

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About 80 necklaces have more than 28 beads. Then the correct option is C.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and the standard deviation is 4 beads.

P(x > 28) = P(x - 24 / 4 > 28 - 24 / 4)

P(x > 28) = P(x - 24 / 4 > 1)

P(x > 28) = 1 - ∅1

P(x > 28) = 1 - 0.8413

P(x > 28) = 0.1587

Multiply both sides by 500, then we have

500 P(x > 28) = 0.1587 × 500

500 P(x > 28) = 79.35

500 P(x > 28) ≈ 80

About 80 necklaces have more than 28 beads. Then the correct option is C.

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The missing options are given below.

A. About 24 devices have more than 28 beads.

B. About 48 necklaces have more than 28 beads.

C. About 80 necklaces have more than 28 beads.

D. About 96 necklaces have more than 28 beads.

Rested numbers in group is 33 out of 76.

A percentage is expressed as a number or ratio that can be expressed as fraction of 100. It is denoted by % symbol.

Total numbers in a group = 76.

44% of them were rested.

That is 44% of 76.

To find how many are rested we have to find the value in numbers.

Convert 44% of 76 to numbers.

For this, it can be written as

\(\frac{44}{100} *76\) = 33.44

Therefore 44% of 76  ≅ 33 numbers.(approximately)

Hence, rested numbers in group is 33.

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Answer:

if the number is anything then I pick 10 so 5 because 10 - 5 = 5 I guess lol

Step-by-step explanation:

Answer:

k-5

Step-by-step explanation:

The statement that best reflects an experience similar to that of the grandfather in the excerpt from "Bend, Not Break: A Life in Two Worlds" is: Not to brag about it, but as a small local newspaper reporter, the first time I saw an American apple was in an illustrated foreign magazine in our internal reference room. The Option C is correct.

This quotation shows the experience of encountering American apples for the first time in a foreign context, which is similar to the grandfather's experience of encountering American products for the first time while living in China.

However, the other two quotations (Option A & B) do not relate to this particular experience.

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Answer:

18; 36

Step-by-step explanation:

If there's 9 rows of "onion, onion, garlic, flower", then you repeat this cycle 9 times.

onion, onion, garlic, flower(1)

onion, onion, garlic, flower(2)

onion, onion, garlic, flower(3)

onion, onion, garlic, flower(4)

onion, onion, garlic, flower(5)

onion, onion, garlic, flower(6)

onion, onion, garlic, flower(7)

onion, onion, garlic, flower(8)

onion, onion, garlic, flower(9)

Add up the garlic and flower bulbs, which equals 18. Then add up all of the bulbs, which is 36.

-hope it helps

Explanation:

This problem is a simple percent chage problem. The absoluge change in price was $12−$8=$4. Relative to the original price, it was 412, which is 0.3333 or 33.33%.

Answer: C

Step-by-step explanation:

The rest of the quadrilaterals provided have 2 pairs of parallel lines.

The choice is:

Explanation:

The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.

Here's what a trapezoid looks like :

\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)

Answer:

SO EVERYONE WOULD SHOUT LOOK AT THE S CAR GO

Step-by-step explanation:

1) The expression 2⁻ˣ⁺³ = 3 is matched with graph B.

2 The expression  3ˣ⁺¹=3 is matched with graph C.

3) The expression 4ˣ = 3 is matched with graph

4 ) The expression 1ˣ/4 = 3 is matched with graph

1) The graph of the expression 2⁻ˣ⁺³ = 3  represents an exponential function where the y-coordinate is 3 when the base 2 raised to the power of (-x+3).

2) The graph of the expression 3ˣ⁺¹=3represents an exponential function where the y-coordinate is 3 when the base 3 raised to the power of (x+1). This graph is a straight line with a slope of 1.

3)  The graph of the equation 4ˣ = 3 represents an exponential function where the base 4 raised to the power of x is equal to 3. This equation has a single solution, which can be determined using logarithms.

4) The graph of the expression 1ˣ/4 = 3 represents an exponential function where the base 1 raised to the power of (x/4) is equal to 3.

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Given:

Total number of friends = 9

Number of friend to invite = 4

To find:

The number of ways.

Solution:

We know that, total number of ways to select r items from n items is

\(^nC_r=\dfrac{n!}{r!(n-r)!}\)

So, the total number of ways to select 4 people from 9 friends is

\(^9C_4=\dfrac{9!}{4!(9-4)!}\)

\(^9C_4=\dfrac{9!}{4!5!}\)

\(^9C_4=\dfrac{9\times 8\times 7\times 6\times 5!}{4\times 3\times 2\times 1\times 5!}\)

\(^9C_4=\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}\)

Therefore, the required number of ways is \(\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}\).

Note: All options are incorrect.

Answer:

The last table is the answer

Step-by-step explanation:

The last table has a constant slope of -3, hence it represents a linear function.

From the given table, we need to determine which of the table is a linear table.

Looking at the last table;

Slope = -4-(-2)/2-1
Slope = -4+1/1

Slope = -3

Since the last table has a constant slope of -3, hence it represents a linear function.

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The bank reconciliation shows an adjusted bank balance of Br.5,301.42 and an adjusted ledger balance of Br.4,173.83.

To prepare the bank reconciliation and journal entry for ABC Company based on the given information, we need to compare the transactions recorded in ABC's ledger with the transactions shown in the bank statement. Here's the bank reconciliation:

1. Bank Statement Balance:

Cash on deposit at July 31: Br.4,964.47

2. Adjusted Bank Balance:

Bank Statement Balance: Br.4,964.47

3. Deposit not on the statement: + Br.410.90

(Adjusted Bank Balance: Br.5,375.37)

Erroneously charged check: + Br.79

(Adjusted Bank Balance: Br.5,454.37)

Outstanding checks:

Check 801: - Br.100.00

Check 888: - Br.10.25

Check 890: - Br.294.50

Check 891: - Br.205.00

(Adjusted Bank Balance: Br.4,844.62)

4. Incorrectly charged check: + Br.90

(Adjusted Bank Balance: Br.4,934.62)

5. Collection of interest-bearing note: + Br.500

(Adjusted Bank Balance: Br.5,434.62)

6. Interest earned: + Br.24.75

(Adjusted Bank Balance: Br.5,459.37)

7. Incorrectly recorded check: - Br.90

(Adjusted Bank Balance: Br.5,369.37)

8. Collection fee: - Br.5.00

(Adjusted Bank Balance: Br.5,364.37)

9. NSF check: - Br.50.25

(Adjusted Bank Balance: Br.5,314.12)

10. Service charge: - Br.12.70

(Adjusted Bank Balance: Br.5,301.42)

Adjusted Ledger Balance:

Bank Balance in ABC's Ledger: Br.4,173.83

Reconciled Bank Balance: Br.5,301.42

Reconciled Ledger Balance: Br.4,173.83

Journal Entry:

To record the bank reconciliation, we make the following journal entry:

Debit: Cash (Ledger Balance adjustment) - Br.5,301.42

Credit: Cash (Bank Statement Balance adjustment) - Br.4,964.47

Credit: Miscellaneous Income/Expense - Br.336.95 (the difference between the two balances)

This journal entry ensures that the ledger balance matches the reconciled bank balance by adjusting for the discrepancies identified during the reconciliation process.

The journal entry reflects the necessary adjustments to reconcile the two balances, with a debit to Cash (Ledger Balance adjustment), a credit to Cash (Bank Statement Balance adjustment), and a credit to Miscellaneous Income/Expense to account for the difference.

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Answer:

46.2 (round to one decimal place)

The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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The complete diagram map is given as,
1 - 3
2 - 5,
3 - 7,
8 - 17,
10 - 21
100 - 201

Given that,
To complete the map diagram,

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
The given map diagram follows the general term as nth term = 2n + 1
So for n = 3
= 2 [3] + 1
= 7
Similarly,

10th = 21
100th = 2001

For the value 17

17 = 2n + 1
n = 8
So the 8th term is 17 in the map diagram,

Thus, The complete diagram map has been shown.

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Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)