Write 7/24 as an equivalent fraction with a denominator of 96​

Answer:

1 child - 60 another child - 50

Step-by-step explanation:

we start from the end. they had a equal number.

child A lost half therefore we give them another half having 2 units as shown in the diagram. child B had 1 unit plus 20 because he lost 20 which total adds up to 110. from there you have

3 units + 20 = 110

3 units = 90

1 unit = 30

since A has 2 units,

30 × 2 = 60

child A has 60.

since B has 1 unit plus 20

30 + 20 = 50

Answer:263.89cm cubed

Step-by-step explanation:

Volume of A Sphere: 4/3 pi radius cubed

4cubed= 64

64 times pi=201.061

201.061 multiply 4/3= 268.08

1cubed= 1

1 times pi=3.14

3.14 times 4/3= 4.19

268.08-4.19= 263.89cm cubed

Answer:

the range of each function for the given domain are the step of 3+2x are equal the -8,4

The correct expression is the one in option B.

[tex]P(x) = (x - \sqrt{4} )*(x - 2)*(x + 2)[/tex]

If we know that a polynomial has the known zeros:

{x₁, x₂, ..., xₙ}

Then the factored form is:

[tex]p(x) = a*(x - x_1)*...*(x - x_n)[/tex]

Where a is the leading coefficient, in this case we take a = 1.

Here we also know that the zeros are:

√4, 2, -2.

Then the factored form is just:

[tex]P(x) = (x - \sqrt{4} )*(x - 2)*(x - (-2))\\\\P(x) = (x - \sqrt{4} )*(x - 2)*(x + 2)[/tex]

Then we conclude that the correct option is B.

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Answer:

Geometric mean is most commonly represented as:

[tex]\sqrt{abc}[/tex]

Geometric mean formula is represented by [tex]\sqrt[n]{\sf x_1 \cdot x_2 \cdot x_3 \cdot ... x_n}[/tex] where n resembles term position and x₁, x₂, x₃ are numbers and they continue.

The formula for geometric mean of three numbers [n = 3]:

Solution: [tex]\sqrt[3]{\sf x_1 \cdot x_2 \cdot x_3 }[/tex]

Example's:

Geometric mean of 5 numbers [n = 5] : [tex]\sqrt[5]{\sf x_1 \cdot x_2 \cdot x_3 \cdot x_4 \cdot x_5 }[/tex]

Geometric mean of 2 numbers [n = 2] : [tex]\sqrt[2]{\sf x_1 \cdot x_2 }[/tex]

The values of K that will make 23K10 to be divisible by 2, 3 and 5 are; 0, 3, 6 and 9

We want to find the number K in 23K10 that will make it divisible by 2, 3 and 5.

Now, for the number to be divisible by 2, 3 and 5, then it means it must be divisible by the LCM which is; 2 * 3 * 5 = 30

Now, the divisibility rule for 30 is that it must be divisible by 3 and 10.

If 23K10 is divisible by 3, sum of digits will be multiple of 3.

Thus;

2 + 3 + K + 1 + 0 = K + 6 must be equal to 0, 3, 6, 9, 12, 15, 18....

Thus, K could either be 0, 3, 6 or 9

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The probability that the randomly chosen marble will be red is 1/6 or 0.1667.

The probability of an event is the possibility, chance, or likelihood for an event to take place or occur.

From the given information:
Let us find the probability that if marble is drawn at random from the jar, the given marble will be red:

The total number of marble = 10 + 2 = 12 marbles.

The probability that the randomly chosen marble will be red is:

P(red) = 2/12

P(red) = 1/6

P(red) = 0.1667

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Answer:

m=26, n=111

Step-by-step explanation:

Let 0,0234234... be x

Then 100x = 23,4234234...

100x-x=23,4234234...-0.0234234...

99x=23,4

999x=234

111x=26

x=26/111

m=26, n=111

Answer:

[tex]\approx 4.39 \cdot 3^x[/tex]

Step-by-step explanation:

Recall a property:

[tex](c\cdot f(x))'=c\cdot f(x)'[/tex], where [tex]c[/tex] is a constant.

Apply the property to the task:

[tex](4\cdot 3^{x})'=4\cdot (3^x)'[/tex]

Recall a property of the derivative of an exponential function:

[tex](a^x)'=a^x \cdot \ln{a}[/tex]

Apply the property to the task:

[tex]4\cdot 3^x \cdot \ln 3[/tex]

Since [tex]\ln 3\approx 1.0986[/tex], it follows:

   [tex]4\cdot 3^x \cdot \ln 3 \approx 4\cdot 1.0986 \cdot \ln3[/tex]

Multiply the numbers.

The answer is about [tex]4.39\cdot 3^x[/tex].

The equation perpendicular to the line passing through the points (-4,7) and (1,3) is[tex]y=\frac{5}{4}x-2[/tex]

The slope of the given line is calculated as:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{3-7}{1-(-4)} \\\\m=\frac{-4}{5}[/tex]

The equation perpendicular to the given line will be of the form

[tex]y-y_1=\frac{-1}{m} (x-x_1)[/tex]

Substitute [tex]x_1=-4, y_1=7, and m=\frac{-4}{5}[/tex]

[tex]y-7=\frac{5}{4}(x+4)\\\\ y=\frac{5}{4}x+5-7\\\\ y=\frac{5}{4}x-2[/tex]

Therefore, the equation perpendicular to the line passing through the points (-4,7) and (1,3) is [tex]y=\frac{5}{4}x-2[/tex]

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Answer:  [tex]y = -\frac{5}{4} x - 2[/tex]

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Givens

Harpreet        = x + 3

Sukhpreet     = x

Komalpreet   = 2*(x + 3)

Average Age = 15

Equation

[(x + 3) + x + 2*(x + 3) ] / 3 = 15                  Multiply both sides by 3

Solution

3 [(x + 3) + x + 2*(x + 3) ] / 3 = 15 * 3         Combine

 [(x + 3) + x + 2*(x + 3) ]       =   45             Remove the brackets

x + 3 + x + 2x + 6                 =   45             Combine like terms

4x + 9 = 45                                                 Subtract 9 from both sides

4x + 9 - 9 = 45 - 9                                       Combine

4x = 36                                                         Divide by 4

4x/4 = 36/4

x = 9

Answer

Harpreet is  x+ 3 = 9 + 3 = 12

the answer to this equation is 4

Answer: 3375

Step-by-step explanation: The formula for simple interest is P( Principal, or initial amount) x R ( Rate or the percentage) x T ( Time) all out of 100( because of the percentage)

P x R x T/100

1. 1250 x 18 x 15/ 100

If you can simplify, or divide or cancel out, please do, it’ll make it easier; the 0 at the end of 1250, takes out one 0 from 100. 5 could cancel out 15 and 10, leaving them at 3 and 5 respectively, and lastly the two ( the hundred broken down) dividing 18, leaving us with 9.
2. 125 x 27

With all the breaking down we just did, we just have to multiply the two, leaving us with your answer: 3375.

Hope this was helpful

The linear equation that respects the given conditions is:

[tex]y = \frac{3}{2}x + [/tex]

A linear function is modeled by:

y = mx + b

In which:

When two lines are perpendicular, the multiplication of their slopes is of -1. Hence, considering it is perpendicular to 2x + 3y = 4.

[tex]2x + 3y = 4[/tex]

[tex]3y = -2x + 4[/tex]

[tex]y = -\frac{2x}{3} + \frac{4}{3}[/tex]

Then:

[tex]-\frac{2}{3}m = -1[/tex]

[tex]m = \frac{3}{2}[/tex]

Hence:

[tex]y = \frac{3}{2}x + b[/tex]

It passes through (−2, 15), that is, when x = -2, y = 15, hence:

[tex]y = \frac{3}{2}x + b[/tex]

[tex]15 = \frac{3}{2}(-2) + b[/tex]

15 = -3 + b

b = 18.

So the equation is:

[tex]y = \frac{3}{2}x + [/tex]

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It gives magnitude of the number or variables.

It is also known as an absolute value the function.

The result of this modulus function is always positive.

Draw the graph:

f(x) = |x-1|

f(x) = -(x-1) when x-1 is negative

f(x) = (x-1) when x-1 is positive

when x = -2, f(x) = 3

when x = -1, f(x) = 2

when x = 0, f(x) = 1

when x = 1, f(x) = 0

when x = 2, f(x) = 1

Using this values, draw the graph of f(x) = |x-1|

Hence, the required modulus of x-1 graph.

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Answer:

7%

Step-by-step explanation:

The question is incomplete. Below you will get the missing part of the question.

Find whether the given statement is true or false ?

True. Circle properties can be used to prove that various shapes are polygons.

With a centre of the circles, sides of an angle with vertex outside the circle, and arcs inside the circle, various shapes can be polygon.

So, from this description, we can say that, circle properties can be used to prove that various shapes are polygons.

Hence, the given statement is true.

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The cost that will be charged based on the information is $10.00.

From the information given, the estimate is 4% and the replacement cost is given as $250.

The amount that will be charged will be:

= 4% × $250

= 0.04 × $250

= 10.00

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Answer:

x=-1/4

Step-by-step explanation:

1 / 4x-1/8 = 7/8 + 1 / 2x <=> 1/4x - 1/2x = 7/8+1/8 <=> 1/4x-2/4x = 1  <=> -1/4x = 1

<=> x= -1/4

Answer:

2.7 + 8x/8.2

Step-by-step explanation:

1/4x - 1/8 = 7/8 + 1/2x x/4 - 1/8 = 7/8 + x/2

8x + 4 (-1)/4.8 = 2.7 + 8x/8.2

Answer:

isn't this already fully simplified?

Step-by-step explanation:

a) The amount (in $) of the down payment is $32,000.

b) The amount (in $) of the mortgage for which the Bradys are applying is $128,000.

c) The amount (in $) of the principal and interest portion of the Bradys' monthly payment, at $5.37 for every $1,000 financed, is $687.36.

d) The total amount (in $) of interest that will be paid over the life of the loan is $$119,449.60.

e) The total monthly payment (in $) for PITI (principal, interest, taxes, and insurance) is $951.36.

f) Based on the bank rules that state that mortgage payments cannot exceed 14% of the combined monthly income of $3,750, B. No, they will not qualify.

(g) The monthly income (in $) that would be required to qualify for this size mortgage payment is $4,909.71 ($687.36/0.14).

Down payment = 1/5 or 20%

Home Price = $160,000

Down Payment = 20%

Loan Term = 30 years

Interest Rate = 5%

Annual property tax = $1,710 per year

Annual property insurance = $1,458 per year

Monthly taxes and insurance = $264 ($3,168/12)

Monthly PITI (principal, interest, taxes, and insurance) = $951.36 ($264 + $687.36)

14% of $3,750 = $525

Results:  

Monthly Pay:   $687.36 ($5.37 x $128,000/$1,000)

Loan Amount $128,000 ($160,000 - $32,000)

Down Payment = $32,000 ($160,000 x 20%)

Total of 360 Mortgage Payments = $247,449.60 ($687.36 x 360)

Total Interest = $119,449.60 ($247,449.60 - $128,000)

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Answer:

$37.42 / kg

Step-by-step explanation:

Divide 16.99 by 454 to get the unit cost per gram. This equals 0.037422907…

Take this number and multiply it by 1000, while rounding it to the nearest hundredth after.

This equals about $37.42 / kg.

The true annual interest rate to the nearest tenth is 16.7%.

The interest amount for this scenario can be determined by computing the total mortgage payment and subtracting the mortgage amount from the earlier figure.

Since payment was made for 20 months, the interest rate can be annualized using 24 months as below.

Price of article = $315.50

Down payment = $31.55

Mortgage amount = $283.95

Monthly payment amount = $16.50

Duration of payments = 20 months

Total payment (mortgage and interest) = $330 (20 x $16.50)

Interest = $46.05 ($330 - $283.95)

Annualized interest rate = 16.7% ($46.05/$330 x 24/20)

Thus, the true annual interest rate to the nearest tenth is 16.7%.

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Answer:  [tex]\boldsymbol{5i\sqrt{6}}[/tex]  

where [tex]i = \sqrt{-1}[/tex]

=============================================

Work Shown:

[tex]\sqrt{-150}\\\\\sqrt{-1*25*6}\\\\\sqrt{-1}*\sqrt{25}*\sqrt{6}\\\\i*5*\sqrt{6}\\\\\boldsymbol{5i\sqrt{6}}\\\\[/tex]

The trick with these type of problems is to factor the number into pieces such that we pull out the largest perfect square factor. In this case, that factor is 25. We also pull out the -1.

The rule used is [tex]\sqrt{A*B} = \sqrt{A}*\sqrt{B}[/tex] that lets us break up the root.

2.66 is the speed

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