When using an equivalent fraction to find a percent, why do you write 100 as the denominator ?

Answer:

1)

√50

50=2·5²

The 5s can be taken out to get 5√2

2)

√24

24=2³·3

Two 2s can be taken out to get 2√6

3)

√192

192=2⁶·3

We can take the 2s out to get 8√3

4)

√169

169=13²

The 13s can be taken out to get 13

5)

√147

147=3·7²

The 7s can be taken out to get 7√3

6)

√(13/49)

√13/√49

13 is prime, 49=7²

(√13)/7

7)

√(6/27)

√6/√27

6=2·3 and 27=3³

Two 3s can be taken out to get √6/3√3

√6 can be rewritten as √2·√3

In (√2·√3)/3√3 the √3s cancel leaving √2/3

8)

3/√6

In fractions you can multiply and divide by x/x

In this case, x=√6

3√6/(√6·√6)

3√6/6

6=3·2 and the 3s cancel out leaving √6/2

Step-by-step explanation:

the ratio is 15:11.

that means the whole distance can be seen as 15+11 = 26 parts.

15 of these 26 parts he drove already, 11 are still to come.

the white distance is 1,234 miles, so each of the 26 parts is then

1,234 / 26 = 617/13 = 47.46153846... miles

the exact middle would have been 13 parts of the 26.

so, 13×617/13 = 617 miles.

but he drove 15 parts instead of 13, so he went 2 parts too far :

2×617/13 = 2×47.46153846... = 94.92307692... miles

so, he is 94.92307692... ≈ 95 miles past the point he originally wanted to stop at.

Looking at the question, the answer gotten is:$4316.55. The question is related to compound interest.

Compound interest is known to be the interest that is earned on a principal sum in addition to the accumulated interest previously. It is as a result of reinvesting interest.

To find the compound interest, the formula used is:

A= P(1+r/n)^nt.

Where

P is the principal sum= $3500

r is the rate = 0.035

n is the compounding period = 12 months.

t is the time = 6 years.

Substituting them in the equation, we have:

A = 3500 ( 1 + 0.035/12)^12×6

Working out the one in the bracket and multiplying the exponent, we have:

A = 3500 (1.00291667)^72

Note: We got 72 by multiplying 12 by 6.

1.00291667 raised to the power of 72 = 1.23330133

A = 3500× 1.23330133 = $4,316.55

Ans: $4,316.55

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Answer:

5419

Step-by-step explanation:

Answer: The last option. X is greater than or equal to -3

Step-by-step explanation:

If you are searching for all of the values highlighted in red, then it must be every single value greater than x=-3 including the value itself (the dot located on the value is shaded, therefore you must include it within the domain).

If triangle CDE is dilated by a scale factor of 1/4 to form triangle C'D'E' , then measure of the side DE is 14.

In the question ,

it is given that ,

The triangle CDE is dilated by scale factor of 1/4

and the new triangle formed after dilation is C'D'E' .

it is given that the measure of the side D'E' = 3.5 .

let the measure of the the side DE = x

So , according to the question ,

x *(1/4) = 3.5

On cross multiplication,

we get ,

x = 4* 3.5

x = 14

Therefore , If triangle CDE is dilated by a scale factor of 1/4 to form triangle C'D'E' , then measure of the side DE is 14.

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Answer:

the answer should be 2.5

Step-by-step explanation:

when divided 5/8 u get 0.625 and when u divided 1/4 u get 0.25 and u divided both answer u get 2.5

y=55x is the expression for the amount of money obtained from the sale of x units of product.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation. Linear equations are classified into three types: point-slope, standard, and slope-intercept.

Here,

Let sale of x units of product.

y=55x

The expression for the amount of money received from sale of x units of product is y=55x.

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1. The quadratic function for the Area in terms of x: A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is 0.

3. The maximum cross-sectional area is square inches 0.

To determine the depth of the gutter that maximizes its cross-sectional area and allows the greatest amount of water to flow, we need to follow a step-by-step process.

1. Write a quadratic function for the area in terms of x:

The cross-sectional area of the gutter can be represented as a rectangle with a width of 24 inches and a depth of x. Therefore, the area, A(x), is given by A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is:

To find the value of x that maximizes the area, we need to find the vertex of the quadratic function. The vertex of a quadratic function in form f(x) = ax² + bx + c is given by x = -b/(2a). In our case, a = 0 (since there is no x² term), b = 24, and c = 0. Thus, the depth of the gutter that maximizes the area is x = -24/(2 * 0) = 0.

3. The maximum cross-sectional area is square inches:

Substituting the value of x = 0 into the quadratic function A(x) = 24x, we get A(0) = 24 * 0 = 0. Therefore, the maximum cross-sectional area is 0 square inches.

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Reasonably simple series with a tail that is thicker than the tail of the given Σ 1n × >> Σ (1/2), Σ (1/3)^n has a thicker tail than Σ (1/2)^n.

One possible series with a thicker tail than Σ (1/2)^n is the series Σ (1/3)^n, which can be written as:

1 + 1/3 + 1/9 + 1/27 + 1/81 + ...

To see that this series has a thicker tail than Σ (1/2)^n, we can compare the nth terms of the two series:

(1/2)^n = 1/2 × 1/2 × ... × 1/2 (n factors)

(1/3)^n = 1/3 × 1/3 × ... × 1/3 (n factors)

Since 1/2 > 1/3, the nth term of Σ (1/2)^n is greater than the nth term of Σ (1/3)^n for all n. However, the sum of the first k terms of Σ (1/3)^n is:

1 + 1/3 + 1/9 + ... + (1/3)^k

= (1 - (1/3)^k) / (1 - 1/3)

= (3/2) (1 - (1/3)^k)

which approaches 3/2 as k approaches infinity. In contrast, the sum of the first k terms of Σ (1/2)^n is:

1 + 1/2 + 1/4 + ... + (1/2)^k

= (1 - (1/2)^(k+1)) / (1 - 1/2)

= 2 (1 - (1/2)^(k+1))

which approaches 2 as k approaches infinity. Therefore, the series Σ (1/3)^n has a thicker tail than Σ (1/2)^n.

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Answer:

36 seconds

Step-by-step explanation:

36 is the lowest common multiple of 9 and 12.

According to this question, you must find the L.C.M

So,

L.C.M. (Least.Common.Multiple)

●You divide by prime numbers

●You take common and uncommon ones

●You Multiply

9= 3×3

12=2×2×3

L.C.M= 3× 2×2×3

=36 seconds

ANSWER= 36 SECONDS

Based on the information given about the combination, the number of different parts of fruits that can be selected from the bowl will be 6.

Since the bowl contains an apple, a plum, a pear, and a banana, the different pairs of fruit that can be selected from the bowl will be 4C2.

We can solve this further which will be:

= 4C2

= 4! /2! (4 - 2)!

= 4! / 2!2!

= (4 × 3 × 2)/ 2 × 2

= 24/4

= 6

Therefore, 6 different pairs of fruit can be selected.

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Answer:

20%

Step-by-step explanation:

660:3300*100 =

(660*100):3300 =

66000:3300 = 20

Answer:

Consider the trapezoid ABCD. In this trapezoid BC=a and AD=b.

Since triangles BOC and AOD are somilar, then

\( \dfrac{AO}{OC}=\dfrac{DO}{OB}=\dfrac{AD}{BC}=\dfrac{b}{a}. [\tex]

OC/AO = OB/DO = BC/AD=/ba

Triangles OAE and CAB are similar

EO/BC=b/(a+b)

EO=ab/(a+b)

again

OF=ba/(b+a)

and.

EF=2a/(a+b) is arequired length.

Answer:

Step-by-step explanation:

The graph f(x) = x^2 is shifted along the OX axis to the left by 2 and reflected relative to this axis:

Answer:J

Step-by-step explanation:

Given statement solution is :- The correct answer is: The frequency is 3 more than expected.

To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.

The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.

The expected frequency can be found by multiplying the probability by the total number of rolls:

Expected frequency = Probability of landing on an even number × Total number of rolls

Expected frequency = 0.5 × 30 = 15

Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.

The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).

Therefore, the correct answer is: The frequency is 3 more than expected.

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Answer:

Its C

Step-by-step explanation:

because N and O would have been numerators but they are denominators

The factors that would most likely reduce the monthly premium a policyholder who pays for automobile insurance is -

Option A: I, II

What is insurance?

Insurance is a legal agreement, evidenced by a policy, under which a policyholder receives financial security or compensation from an insurance provider against losses. In order to make payments to the insured more manageable, the company pools the risks of its clients.

The factors that can affect the monthly premium a policyholder pays for automobile insurance include the type of vehicle, driving record, and other personal factors.

Out of the options given, buying a minivan  and maintaining an accident-free driving record over time would most likely reduce the monthly premium a policyholder pays for automobile insurance.

Minivans are generally considered safer and less expensive to repair than other types of vehicles, and having an accident-free driving record indicates that the policyholder is a lower risk for filing a claim in the future.

Paying a speeding ticket and taking a job with a longer commute by car are unlikely to reduce the monthly premium a policyholder pays for automobile insurance.

Paying a speeding ticket indicates a violation of traffic laws and a higher risk for accidents, and a longer commute by car increases the risk of accidents and damages.

Therefore, the answer is buying a minivan and maintaining an accident-free driving record over time.

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Answer: option a (I, II)

Step-by-step explanation: Person above is correct!

Answer:

(A)Cost of Rental A, C= 15h

 Cost of Rental B, C=5h+50

 Cost of Rental C, C=9h+20

(B)

i. Rental C

ii. Rental A

iii. Rental B

Step-by-step explanation:

Let h be the number of hours for which the barbeque will be rented.

Rental A: $15/h

Rental B: $5/h + 50

Rental C: $9/h + 20

The graph of the three models is attached below

(b)11.05-4.30

When you keep the barbecue from 11.05 to 4.30 when the football match ends.

Number of Hours = 4.30 -11.05 =4 hours 25 Minutes = 4.42 Hours

Rental C should be chosen as it offers the lowest cost.

(c)11.05-12.30

Number of Hours = 12.30 -11.05 =1 hour 25 Minutes = 1.42 Hours

Rental A should be chosen as it offers the lowest cost.

(d)If the barbecue is returned the next day, say after 24 hours

Rental B should be chosen as it offers the lowest cost.

Answer:

Step-by-step explanation:

1) 3w+6=2w        

2) 6=2w-3w       Subtract 3w from both sides

3) 6=-1w             Divide both sides by negative one (to get rid of the negative and so that the variable, w, is by itself)

4) -6=w               Simplify

The slope-intercept form of a line's equation is y = mx + b, where m is the slope of the line and b is the y-intercept. We can use the given slope and point to solve for the y-intercept and write the equation in slope-intercept form.

Given: Slope (m) = -2 and point (-2, -3)

Answer:

440

Step-by-step explanation:

Answer:

D The null hypothesis is not rejected because 0.25 > 0.05. There is not sufficient evidence to suggest that there is a linear relationship between a wheat stalk's height and its yield.

Step-by-step explanation:

Given the hypothesis :

H0 : β1 = 0

Ha : β1 ≠ 0

The Pvalue = 0.25 ; α = 0.05

Decision region :

Reject H0 ; if Pvalue < α

Comparing the Pvalue and α - value

0.25 > 0.05

Here, the Pvalue is > α ; hence, we fail to reject the Null, H0

Hence, there is no significant evidence to suggest that there is a linear relationship between what's stalk height and its yield.

Lulu drove for 123.75 miles that Rick

Rick drove for 375 miles in 5 hours

Rick speed is

= distance/time

= 375/5

= 75

Lulu drove for 6 hours 39 mins

Convert to hours

= 6.65 hours

The distance that Lulu covered is

= 6.65 × 75

= 498.75

498.75-375

= 123.75

Hence Lulu drove 123.75 miles that Rick

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

\(-5x^2+3x = -3x^2 +3x -50\\\\\implies 5x^2-3x^2 +3x-3x -50 =0\\\\\implies 2x^2 -50 =0\\\\\implies x^2 -25 = 0\\\\\implies x^2 = 25\\\\\implies x = \pm5\\\\\text{Hence}~ x = 5~ \text{or}~ x = -5\)

Answer:

X = 5, —5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

4 , 24 , 144 , 864 , 5184

This is a sequence which is multiplied by 6 with the new digit.

First: 4

second: 4 * 6 = 24

third: 24 * 6 = 144

fourth: 144 * 6 = 864

fifth: 864* 6 = 5184

sixth: 5184 * 6 = 31104

seventh: 31104 * 6 = 186624

This sequence is never ending. Write the first 5 five in sequence that's the answer.

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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