How many factors does 72 have.

The graph of the equation x+y = 8 will be a straight line.

Graphical representation refers to the use of charts and graphs to visually display, analyse, clarify, and interpret numerical data, functions, and other qualitative structures.

Given an equation, x+y = 8

when x = 0, y = 8 → (0,8)

when y = 0, x = 8 → (8,0)

Hence, The graph of the equation x+y = 8 will be a straight line.

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Answer:

286

Step-by-step explanation:

Given that:

For every 13 people who prefer football ; 7 prefer basket ball

At an event;

Number who prefer basketball = 154

Number who prefer football :

[(Total who prefer basketball) ÷ 7] * 13

(154 / 7) * 13

= 22 * 13

= 286

Answer:

The next term is -1.

Step-by-step explanation:

f(n + 1) = f(n) + 3

If the first term is -4, then we have

f(2) = f(1 + 1) = f(1) + 3 = f(1) + 3 = -4 + 3 = -1

Answer: 0.55

Step-by-step explanation:

Using the exchange rate, Amy converted $75 into pounds.

The exchange rate is the unit at which one currency is changed to or converted into another.

The exchange rate converts a country's currency into another.

The exchange rate shows the worth of one currency against another.

Exchange rate = $1: £0.54

Amount received = £40.50

The dollars converted into pounds = $75 (£40.50/£0.54)

Check:

$75 to pounds = £40.50 ($75 x £0.54)

Thus, we can conclude that more dollars buy fewer Australian dollars at this exchange rate.

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Answer:

8 months

Step-by-step explanation:

Answer:

Option B is correct.

Explanation:

Remove the denominators:

\(\sf \rightarrow \dfrac{1}{2}x - \dfrac{1}{5} y = 2\)

make the denominator's same

\(\sf \rightarrow \dfrac{5}{10}x - \dfrac{2}{10} y = 2\)

Join the fraction's:

\(\sf \rightarrow \dfrac{5x-2y}{10} = 2\)

Multiply both sides by 10

\(\sf \rightarrow {5x-2y} = 20\)

Remove the denominators:

\(\rightarrow \sf x + \dfrac{2}{3}y =5\)

make the denominator's same

\(\rightarrow \sf \dfrac{3x}{3} + \dfrac{2}{3}y =5\)

Join the fraction's:

\(\rightarrow \sf \dfrac{3x+2y}{3} =5\)

Multiply both sides by 3

\(\rightarrow \sf 3x+2y} =15\)

Answer:

B)  5x - 2y = 20  and  3x + 2y = 15

Step-by-step explanation:

Rewrite both equations in standard form:

Equation 1

\(\dfrac{1}{2}x-\dfrac{1}{5}y=2\)

Multiply both sides by 10:

\(\implies \dfrac{1 \cdot 10}{2}x-\dfrac{1 \cdot 10}{5}y=2 \cdot 10\)

\(\implies \dfrac{10}{2}x-\dfrac{10}{5}y=20\)

\(\implies 5x-2y=20\)

Equation 2

\(x+\dfrac{2}{3}y=5\)

Multiply both sides by 3:

\(\implies x \cdot 3+\dfrac{2 \cdot 3}{3}y=5 \cdot 3\)

\(\implies 3x+2y=15\)

Therefore, the equivalent system is:

5x - 2y = 20  and  3x + 2y = 15

Answer:

152.32

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The income you need to afford a $425,000 house is largely dependent on your debt-to-income ratio, credit score, and down payment. However, a general rule of thumb is to have an annual income that is at least three times the purchase price of the home, which in this case would be $1,275,000.

To more accurately determine the income needed to afford a $425,000 house, consider factors such as the interest rate on the mortgage, property taxes, homeowners insurance, and any homeowner association fees.

These additional expenses can significantly impact your monthly mortgage payment and thus your income requirements.
It's important to keep in mind that lenders have varying criteria when determining mortgage eligibility and income requirements, so it's best to speak with a mortgage professional to get a more accurate estimate based on your individual circumstances.

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Answer:

-7x(16)

Step-by-step explanation:

The only thing you can combine is the 7+9

Answer:

please

Step-by-step explanation:

follow me

please

please

please

Answer:

See below.

Step-by-step explanation:

Alexi originally has $43 in his bank account and deposits $7 per week.

Week 1: $50

Week 2: $57

Week 3: $64

Week 4: $71

Week 5: $78

The pattern is that it increased $7 every week starting from $43.

A pattern rule would be: y = 7x + 43 where x represents the number of weeks.

So, Lana gave away 26.32% of he Pokemon cards  to her little brother.

To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.

In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:

(125 / 475) * 100 = 0.2632 * 100 = 26.32%.

Lana gave away 26.32% of her Pokemon cards to her little brother.

Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:

Percentage given away

= (Cards given away / Total cards) * 100

= (125 / 475) * 100

= 26.32%.

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Answer:

Yes

Step-by-step explanation:

For the first equation all we need to do is distribute 6 to 3x and 5y. 6*3x = 18x and 6*5y = 30y. For the first equation, it will be: 18x + 30y.

The next equation seems hard but it's simple. First you can easily add, 4x and 6x. That will equal 10x. Then from there distribute 2 to 4x and 2y, so do the same thing as before. 2*4x = 8x and 2*2y = 4y. So now our equation looks like this: 10x + 15y + 8x + 4y + 11y. Now all you need to do is add the x's together and the y's together. 10x + 8x = 18x and 15y + 4y + 11y = 30y. Now we have 18x + 30y. Looks the same, and that is true.

Both equations equal 18x + 30y, so therefore the answer is yes or true.

Answer:

B=28

Step-by-step explanation:

Answer:

Step-by-step explanation:

The domain of this relation (not a function) is x = -5.  The relation is not defined for any other x value.

Answer:

B) {-5}

Step-by-step explanation:

The graph of the line is x=-5 where the domain is {-5} and the range is (-∞,+∞) making B the correct choice

The interest that Zoe ends up paying more for her loan because of her bankruptcy is $18,162.24.

Interest is the sum of the amount paid by the borrower to the lender. It is usually few percentages of the principal amount borrowed by the borrower.

We know that the loan taken by Zoe is for 4 years, therefore, the payment made by Zoe will be for 48 months. Also, the principal amount is $15,200 which is included in the per month payment made by Zoe for the next 4 years.

We know that Zoe has a past bankruptcy, therefore, her payments are $819.20 per month for the next 48 months,

The total interest paid by Zoe in four years(With past in bankruptcy),

=  Total amount paid by Zoe in 48 months - Principal amount

= ($819.20 x 48 months) - $15,200

=  $24,121.6

Now, if Zoe didn't have a past bankruptcy, therefore, her payments are $440.82 per month for the next 48 months,

The total interest paid by Zoe in four years(With past in bankruptcy),

=  Total amount paid by Zoe in 48 months - Principal amount

= ($440.82 x 48 months) - $15,200

=  $5,959.36

The interest that Zoe end up paying more for her loan because of her bankruptcy can be calculated by deducting the total interest paid by Zoe in four years(With past bankruptcy) from the total interest paid by Zoe in four years(With past bankruptcy).

Extra interest paid by Zoe = $24,121.6 - $5,959.36

                                           =  $18,162.24

Hence, the interest that Zoe end up paying more for her loan because of her bankruptcy is $18,162.24.

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Answer:

i got it right⬇️

Answer:

Have 470 there and then add the same amount to it multiple times to see if you get the solution.

Step-by-step explanation:

^ There.

Answer:

Approximately 5,250,000 kg of methane would be released.

Step-by-step explanation:

Given: 1,000 termites release approximately 500 g of methane annually

           3.5 x \(10^{6}\) termites per hectare

Thus, population of termites inhabiting 3,000 hectares = number of termites per hectare x 3,000

= 3.5 x \(10^{6}\) x 3,000

= 10 500 000 000

= 1.05 x \(10^{10}\)

Since 1,000 termites release 500 g of methane, then 10 500 000 000 termites would release:

\(\frac{10500000000}{1000}\) x 500 g

= 5250000000 g

But 1000 g = 1 kg, so that;

\(\frac{5250000000}{1000}\)

 = 5250000 kg

Approximately, 5,250,000 kg of methane would be released by termites inhabiting 3,000 hectares of tropical rain forest.

Answer:

B

Step-by-step explanation:

2y=-3x+6

y = -0.5x + 3

this is a function because it is a linear equation that isn’t undefined

Answer:

y = x +5

Step-by-step explanation:

2x +4 + 1-x = x +5

hope this helps

Answer:

the answer is -4,-3

Step-by-step explanation:

once you translate it across the y axis it is -4,3 and then it asks you to go down six so then its -4,-3

This is the particular solution to the given differential equation with the initial condition y(π/4) = 1.

To solve the differential equation (x + y²)dx = -2xydy, we can use the method of exact equations.

1. Rearrange the equation to the form M(x, y)dx + N(x, y)dy = 0, where M(x, y) = (x² + y²) and N(x, y) = -2xy.

2. Check if the equation is exact by verifying if ∂M/∂y = ∂N/∂x. In this case, we have:
∂M/∂y = 2y
∂N/∂x = -2y

Since ∂M/∂y = ∂N/∂x, the equation is exact.

3. Find a function F(x, y) such that ∂F/∂x = M(x, y) and ∂F/∂y = N(x, y).

Integrating M(x, y) with respect to x gives:
F(x, y) = (1/3)x + xy² + g(y), where g(y) is an arbitrary function of y.

4. Now, differentiate F(x, y) with respect to y and equate it to N(x, y):
∂F/∂y = x² + 2xy + g'(y) = -2xy

From this equation, we can conclude that g'(y) = 0, which means g(y) is a constant.

5. Substituting g(y) = c, where c is a constant, back into F(x, y), we have:
F(x, y) = (1/3)x³ + xy² + c

6. Set F(x, y) equal to a constant, say C, to obtain the solution of the differential equation:
(1/3)x³ + xy² + c = C

This is the general solution to the given differential equation.

Moving on to the second part of the question:

To solve the differential equation with the initial value problem (2xy - sec²(x))dx + (x² + 2y)dy = 0, y(π/4) = 1:

1. Follow steps 1 to 5 from the previous solution to obtain the general solution: (1/3)x³ + xy² + c = C.

2. To find the particular solution that satisfies the initial condition, substitute y = 1 and x = π/4 into the general solution:
(1/3)(π/4)³ + (π/4)(1)² + c = C

Simplifying this equation, we have:
(1/48)π³ + (1/4)π + c = C

This is the particular solution to the given differential equation with the initial condition y(π/4) = 1.

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Each line above the numbers multiply it by 1000. So this number is being multiplied by 1000000.

Each "C" is equal to 100, since there are "CCC" the number is 300.

"XL" is equal to 40, because "X" is equal to 10 and "L" is equal to 50, but since he X is on the left of the L we subtract them.

The number CCCXL is then 340, but there are the two lines. So we have:

Answer:

Step-by-step explanation:

I think its D cuz there should be one bar with negative value

An equation to determine the width of the deck is 310 = \(x^{2}\) + 5x.

To determine the equation for the width of the deck, let's assume that the width of the deck is denoted by variable x.

Given that the length of the deck is 5 feet longer than its width, we can express the length as (x + 5).

The area of a rectangle is calculated by multiplying its length by its width. In this case, the area of the deck is given as 310 square feet.

So, we can set up the equation:

Area = Length * Width

310 = (x + 5) * x

Simplifying the equation, we have:

310 = \(x^{2}\) + 5x

Now we have an equation that can be used to determine the width of the deck.

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Answer:

0.72 or 1/72

Step-by-step explanation:

I didn't really understand that question

QwQ

I think it's 18/25 not sure if that's right or not but If the number you need to make into a simplified fraction is 72. you would put 72/100 by using the GCD Or HCF method. either one would work tbh

Using the given conditions that sin(20) = cos(2u) = tan(24) = 3, we can find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas. By substituting the known values into the formulas, we can determine the exact values of these trigonometric functions.

Given sin(20) = 3, we can use the double-angle formula for sine to find sin(2u).

The double-angle formula for sine is sin(2u) = 2sin(u)cos(u). We know that sin(u) = -3/5, so we can substitute this value into the formula to calculate sin(2u).

Therefore, sin(2u) = 2(-3/5)(cos(u)).

Given cos(2u) = 3, we can use the double-angle formula for cosine to find cos(2u).

The double-angle formula for cosine is cos(2u) = cos^2(u) - sin^2(u). Since we already know sin(u) = -3/5 and cos(u) can be calculated using the Pythagorean identity (cos^2(u) = 1 - sin^2(u)), we can substitute these values into the formula to determine cos(2u).

Finally, given tan(24) = 3, we can use the double-angle formula for tangent to find tan(2u).

The double-angle formula for tangent is tan(2u) = (2tan(u))/(1 - tan^2(u)). By substituting the known value of tan(24) = 3 into the formula, we can calculate the exact value of tan(2u).

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There are 4 red jellybeans in a jar of 20 total. The probability that you will choose a red jellybean from the jar is represented by the fraction 4/20.

The probability of picking a red jellybean out of the jar is the number of red jellybeans in the jar divided by the total number of jellybeans in the jar.

So, P(red jellybean) = number of red jellybeans / total number of jellybeans

= 4/20

= 1/5

Therefore, the fraction that represents the probability of picking a red jellybean out of the jar is 4/20.

The complete question is:-

You have a jar of 20 jellybeans, and 4 are red. Which fraction represents the probability that you will pick a red jellybean out of the jar?

A) 4/20

B) 16/20

C) 20/4

D) 20/16

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