(GIVING BRAINLIEST!!)
Solve the equation using equivalent fractions. SHOW YOUR WORK

6/15 + 3/10 + 3/5

Answer:

The correct answer is D. 0 + 1 = 1

Step-by-step explanation:

To determine the correct option, we must first perform the calculation raised in the question:

2/9 + 10/11 = X

0.22 + 0.9 = X

1.12 = X

Thus, rounded to the nearest whole number, this mathematical operation would be similar to option D, which raises the sum of 0 + 1. This is because 0.22 is rounded to 0, while 0.90 is rounded to 1.

Step-by-step explanation:

s1 = 5

s2 = s1 × -2 = 5×-2 = -10

s3 = s2 × -2 = -10 × -2 = 20

...

now, we could do all that manually.

but there is also a formula for geometric sequence.

in fact, there are 2 - one for finite and one for infinite sequences.

and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.

since we need the sum of the first 5 terms, which of the 2 do you think we need ?

of course, finite, because 5 is a normal number we can "touch". it is not infinity.

so, the formulas for finite sums of geometric sequences are :

if |r| < 1, Sn = a(1 - r^n)/(1 - r)

if |r| > 1, Sn = a(r^n - 1)/(r - 1)

if r = 1, Sn = na

if r = -1, then Sn = a or 0 depending on if n is odd or even.

the sequence is in general

s1 = a

sn = sn-1 × r

in our case a = 5, r = -2.

so, what form of the formula do we need ?

|-2| = 2, and 2 > 1, so ...

S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =

= 5 × 11 = 55

quick check, as the 5 terms are

5

-10

20

-40

80

and their sum is : 55

correct !

Answer:

⅓

\( \frac{5}{9} \times \frac{3}{5} \)

\( = \frac{1}{3} \times \frac{1}{1} \)

\( = \frac{1}{3} \)

\( \frac{1}{3} \div \frac{3}{5} \)

\( = \frac{1}{3} \times \frac{5}{3} \)

\( = \frac{5}{9} \)

#CarryOnLearning

Hey there!

When you see the word “of” in mathematical statement, it usually means “multiply” (aka Multiplication)

“3/5 of 5/9”

3/5 • 5/9

MULTIPLY the NUMERATORS (TOP NUMBERS) from each other & also MULTIPLY the DENOMINATORS (BOTTOM NUMBERS) from each other!

3(5) / 5(9)

3(5) = 15 ⬅️ NUMERATOR

5(9) = 45 ⬅️ DENOMINATOR

15/45

The GCF (Greatest Common Factor) for both of your numbers is: 15.. so DIVIDE both the NUMERATOR and DENOMINATOR from 15

15 ÷ 15 / 45 ÷ 15

15 ÷ 15 = 1 ⬅️ NUMERATOR

45 ÷ 15 = 3 ⬅️ DENOMINATOR

Answer: 1/3 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

a)Perimeter= 2(8+2x+4)

=(24+4x)ft

b)Area= 8(2x+4)

=(16x+32)square ft

c)16x+32=80

x=3

width= 2x+4 = 2(3)+4 =10ft

Answer:

0

Step-by-step explanation:

Since the line is horizontal and it isn't moving up or down and is in a still motion, the slope would be 0.

May I please have brainliest? Thank you!

Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

Answer:

y=2/4x+4.5

Step-by-step explanation:

Use rise over run to get 2/4 and the line splits 4 and 5 to get 4.5

Hope this Helps :)

Answer:

Step-by-step explanation:

Unsure

The equation will be t = 3s where t is total cost and s is number of snow cones. this can be find out be relationship of number of snow cones and total cost in table .

In given table :

Number of snow cones               Total cost

2                                                      6

6                                                      12

5                                                      15

From above table, we can relate

1st case :
number of snow cones = 2 and total cost = 6

i.e. 3 times of number of cones.

2nd case:

number of cones = 4 and total cost = 12

i.e. 3 times the number of cones.

3rd case :

number of cones = 5 and total cost = 15

i.e. 3 times the number of cones.

So, we see same pattern is repeated in all.

Then equation will be t = 3s where t = total cost , s = number of snow cones.

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The answers are 4. a) 15.7 cm, b) 26.25 m, 5. a) 128.74 cm, b) 40.82 mm, c) 45 cm and 6. 777.28 cm

Given are the circles and the circular items we need to find their circumference,

Circumference of a circle = 2π × radius = Diameter × π

4. a) Circumference = 5 × 3.14 = 15.7 cm

b) Circumference = 8.36 × 3.14 = 26.25 m

5. a) Circumference = 41 × 3.14 = 128.74 cm

b) Circumference = 13 × 3.14 = 40.82 mm

c) Circumference = 14.3 × 3.14 = 45 cm

6.

The perimeter of the cloth = circumference of the circular ends plus length in the middle,

= 76 × 2 × 3.14 + 150 × 2

= 477.28 + 300

= 777.28 cm

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ANSWER:

1 : 14

EXPLANATION:

1)  Convert 1 meter to centimeters.

7 cm : 100 cm

2) Now you just simplify both sides (divide 7 by 7 to get 1 and then you have to divide 100 by 7 as well).

\(\frac{7}{7}=1\)

\(\frac{100}{7}=14.285\)

Therefore, the ratio is:

1 : 14

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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Answer:

3/8

Step-by-step explanation:

Step 1: Find common denominators

1/2 = 4/8

2/4 = 4/8

Step 2: Evaluate

4/8 + 4/8 - 5/8

8/8 - 5/8

3/8

Alternatively, you can just plug this into a calc to evaluate and get your answer.

Answer:

3/8

Step-by-step explanation:

Look at the denominator:

2, 4, 8. The LCM (Lowest Common Multiple) is 8.

So this equation becomes

4/8+4/8-5/8=3/8

Answer: Gwen's breakfast in total was $8. Max's Breakfast in total is $8 as well. so their breakfast together is $16 in total

Answer:

their breakfast cost 16 dollars

Step-by-step explanation:

because you would do 2 times 2 which is 4 and 1 times 4 which is also 4 add those two together to get 8 and the double it because max got the same thing

Answer:

\((5x - 4)(3y + 7)\)

Step-by-step explanation:

\(15xy+35x−12y−28\)

\((15xy+35x)−12y−28\)

\(5x(3y+7)−4(3y+7)\)

\((5x - 4)(3y + 7)\)

\(\longrightarrow{\green{d.\:(5x - 4)(3y + 7)}}\) 

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\(15xy + 35x - 12y - 28\)

Taking "\(5x\)" as common from first two terms and "\(4\)" from last two terms, we have

\( = 5x(3y + 7) - 4(3y + 7)\)

Taking the factor \((3y+7)\) as common,

\( = (5x - 4)(3y + 7)\)

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}\)

Therefore, the difference between the record high and low temperatures in Kentucky is 151°F.

An equation is a mathematical statement that shows the equality between two expressions, usually with an equals sign (=). It typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of an equation is to find the value of the variable that makes the equation true. For example, the equation 2x + 3 = 7 can be solved for x by subtracting 3 from both sides, resulting in 2x = 4, and then dividing both sides by 2 to get x = 2.

Here,

To find the difference between the record high and record low temperatures in Kentucky, we need to subtract the low temperature from the high temperature:

114°F - (-37°F) = 114°F + 37°F = 151°F

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Answer:

(C) ‍♂️‍♂️

Step-by-step explanation:

75° is the correct option

a.t.q. given above.

Answer:

your answer will be \(\frac{1}{36}\)

Step-by-step explanation:

I hope this helps u have a nice day ^_^

Based on the fact that the default of one municipal bond is independent of the other bonds, then the probability that no bond that is D-graded will default is 18.87%

First, find the probability that a single D-graded municipal bond will not default:

= 100 - 8%
= 92%

If there are 20 bonds held by the hedge fund company and the probability of default is independent, the probability that no bond default is:
= Probability that one bond does not default ^ number of bonds

Solving gives:

= 92%²⁰

= 18.87%

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Answer:

D) 88 feet

Step-by-step explanation:

24+24+20+20= 88

since it is a rectangle you add up the same sides by each other too.

The following are the solutions to the given problem:A. Cost of Equity Capital:Given,Beta of the firm = 1.00Risk-Free Rate (Rf) = 3.5%Equity Risk Premium = 6%Cost of Equity (Re) = Rf + Beta*(Equity Risk Premium)Re = 3.5% + 1.00(6%)Re = 9.5%B. After-Tax Cost of Debt:Given,

Pre-tax cost of debt = 4.5%Tax rate = 40%

After-tax cost of debt (Rd) = Pre-tax cost of debt x (1 - Tax Rate)Rd = 4.5% x (1 - 0.40)Rd = 2.7%C. Weighted Average Cost of Capital (WACC):Given,

Weightage of Equity (We) = 100 million shares / 100 million shares + 250 million of debtWe = 28.57%Weightage of Debt (Wd) = 250 million of debt / 100 million shares + 250 million of debt

Wd = 71.43%WACC = (We x Re) + (Wd x Rd)WACC = (28.57% x 9.5%) + (71.43% x 2.7%)WACC = 3.91%D. Cost of Equity after Restructuring:Given,New Default Spread = 3 x Old Default SpreadOld Default Spread = 2.7% - 3.5%Old Default Spread = -0.8%New Default Spread = 3 x -0.8%

New Default Spread = -2.4%New After-tax Cost of Debt (Rd) = 2.7% + (-2.4%)Rd = 0.3%New Weightage of Debt (Wd) = 750 million of debt / 100 million shares + 750 million of debt

Wd = 88.24%New Weightage of Equity (We) = 100 million shares / 100 million shares + 750 million of debtWe = 11.76%New Cost of Equity (Re) = 9.5%Re = 9.5%New WACC

= (We x Re) + (Wd x Rd)New WACC = (11.76% x 9.5%) + (88.24% x 0.3%)New WACC = 0.53%E. After-tax Cost of Debt after Restructuring:Given,

New After-tax Cost of Debt (Rd) = 0.3%F. WACC after Restructuring:New WACC = 0.53%G. Value (Price) per Share for the Remaining Shareholders in the Company:Given,

New Shares = 500 million / $11 per share = 45,454,545 shares New Equity Shares = 100 million shares + 45,454,545 shares = 145,454,545 shares Value of Equity = 145,454,545

shares x $11 per shareValue of Equity = $1,600,000,000Value per Share for the Remaining Shareholders in the Company = $1,600,000,000 / 100 million sharesValue per Share for the Remaining Shareholders in the Company = $16.00 per share.

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Answer:

its a non-repeating decimal

Step-by-step explanation:

repeating decimals continue you on for a while, if decimals have a line over top of the last ending number that means it kept repeating so they cut it short, this one however doesn't have that symbol.

More than once a week: 0.11

Once a week: 0.51

Every other week: 0.26

Every three weeks: 0.05

Less often than every three weeks: 0.07

To make a relative frequency distribution, follow these steps:

Count the number of occurrences of each category in the data. In this case, 11% of the 251 participants responded "more than once a week", so the number of occurrences for this category is 0.11 * 251 = 27.61 (rounded to 28). Similarly, 51% of the participants responded "once a week", so the number of occurrences for this category is 0.51 * 251 = 127.51 (rounded to 128). And so on for the other categories.

Divide the number of occurrences for each category by the total number of participants. In this case, the total number of participants is 251, so the relative frequency for "more than once a week" is 28 / 251 = 0.11. The relative frequency for "once a week" is 128 / 251 = 0.51. And so on for the other categories.

And that's it! These are the relative frequencies for each category in the data.

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Answer:

it is 40!

Step-by-step explanation:

well since area is l x w 13+10=23

and 12+5= 17

Answer:

Step-by-step explanation:

The expression given:

2020 is the initial value of the gadget.

The coefficient 22 represents the rate of monthly depreciation, and the m is the number of months.

The entire expression is the depreciated value after m months.

Correct answer choice is B

Answer:When n is an odd number, \(\sqrt[n]{a}\) is a real number for all values of a. Then, the domain is the real domain.

The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

Answer:

well you would have to draw two pizzas or circles

Step-by-step explanation:

what you would to is draw lines to separate one of them into 10 peices and the other one into 5. You can shade in the 6 peices Hank ate and then shade the same amount of pizza on Roses. Hope this helped!

Answer:

The correct value of x will be "\(-\frac{19}{16}\)". The further explanation is given below.

Step-by-step explanation:

The given equation is:

⇒  \(7x + 21 + 9x = 2\)

⇒        \(16x+21=2\)

On subtracting "21" from both sides, we get

⇒  \(16x+21-21=2-21\)

⇒                \(16x=-19\)

⇒                   \(x=-\frac{19}{16}\)