Which statement shows that 5.78 is a rational number?

A. 5.78=5.787878
B. 5.78=5.78
C. 5.78=5 26/45
D. 5.78=5 26/33

Given problem is:

[tex](7.14\times10^{10})+(3.21\times10^{10})[/tex]

step by step solution:

we will add similar elements.

[tex]10^{10}(7.14+3.21)[/tex]

=[tex]10^{10} (10.35)[/tex]

Now converting [tex]10^{10}[/tex] in decimal form we get 10000000000 (10 zeroes)

Now multiplying 10.35 with 10000000000 we get 103500000000 (8 zeroes)

or we can change it to exponential form like [tex]1.035\times10^{11}[/tex]

11 because when you count from the extreme right end '0' and come counting to the left side, you skip 11 numbers till you reach the first number '1'. And when you put a decimal after 1st number, so the last '0' is at the 11th place, that is why it is [tex]10^{11}[/tex] .

Answer:

D) The 2 represents the two sets of length and width pairs.

Hope I Helped!

Given

formula for the perimeter of a rectangle = 2 ( l + w)

where l represents the length and w represents the width.

What does the 2 represent in this formula

To proof

As given in the question

Formula for the perimeter of a rectangle = 2 ( l + w)

where l = length , w = width

Perimeter of a rectangle is equal to the sum lengths of all the four sides.

Rectangle consisted of four sides.

Rectangle opposite sides are of equal length.

The diagram of rectangle given below.

option (D) is correct.

Therefore 2 represents the two sets of length and width pairs.

Hence proved

Part (A)

The blue car travel 38.5 miles on 1.25 gallons of gasoline

∴ The unit rate of the blue car = 38.5 ÷ 1.25 = 30.8  miles per gallon

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

Part (B):

The red car travel [tex]23 \frac{1}{5}[/tex] miles on [tex]\frac{4}{5}[/tex] gallons of gasoline.

[tex]23 \frac{1}{5}[/tex] = 23.2   and   [tex]\frac{4}{5}[/tex] = 0.8

∴ The unit rate of the red car = 23.2 ÷ 0.8 = 29  miles per gallon

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

Part (C):

Which car could travel the greater distance on 1 gallon of gasoline?

The answer: by reviewing part (A) and part (B)

So, the blue car can travel the greater distance on 1 gallon of gasoline.

Answer:

Speed of Charles = 12 Km per hour

To convert it into meters per minute, we follow the following procedure

1 Km =1000 meter

1 hour = 60 minute

Now 12 Km per hour = [tex]\frac{12\times 1000}{60}[/tex]

    = 12,000 ÷ 60

   = 200 meter per minute

Charles, who runs at a rate of 12 kilometers per hour, runs at a speed of 200 meters per minute when converted using the facts that there are 1,000 meters in a kilometer and 60 minutes in an hour.

The speed of Charles, who runs at a rate of 12 kilometers per hour, can be converted to meters per minute using the fact that there are 1,000 meters in one kilometer and 60 minutes in one hour.

First, convert the distance from kilometers to meters. 12 kilometers is equal to 12,000 meters because one kilometer is equal to 1,000 meters.

Next, since the speed is given per hour and the question asks for the speed in terms of minutes, we need to convert the time component. There are 60 minutes in an hour, so we divide 12,000 meters by 60 minutes to get the speed in meters per minute.

So, following these steps: (12 kilometers * 1,000 meters) / 60 minutes = 200 meters per minute. So, Charles’s speed is 200 meters per minute.

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Answer:

5 is the solution with the greater value; -2/3 is the other solution.

Step-by-step explanation:

Set each factor of (3x+2)(x-5)=0 equal to zero and solve for x in each case:

3x+2 = 0 => 3x = -2 => x = -2/3

x-5 = 0 => x = 5

To solve the given equation, set each factor equal to zero and solve for x. The solutions are x=-2/3 and x=5, with x=5 as the highest value.

To solve the equation (3x+2)(x-5)=0, we will use the basic principle that if the product of two factors is zero, then at least one of them needs to be zero. Therefore, either 3x+2=0 or x-5=0.

If 3x+2=0, then 3x=-2, which simplifies further to x=-2/3.

If x-5=0, then x=5.

Therefore, the solutions are x=-2/3 and x=5. Among these solutions, the highest value is x=5.

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The three numbers are 93,94,95

The three consecutive even numbers whose sum evaluates to 282 are 92, 94, and 96

As the term consecutive implies, the numbers who come one after the other are  called consecutive.

In case of consecutive even numbers, those even numbers who are adjacent to each other.

Example: 2,4,6 are consecutive events but 2,6,12 are not as there are events between 2 and 6 and between 6 and 12, so they are not closest to each other.

Let the first even of those three consecutive numbers whose sum is 282 be denoted by [tex]2n[/tex]

Then, we get the rest of the two evens as [tex]2n + 2, 2n+4[/tex]

Since their sum is 282, therefore,

[tex]2n + (2n+2) + (2n+4) = 282\\2n +2n + 2n + 2 + 4 = 282\\6n + 6 = 282\\\\\text{Subtracting 6 from both the sides}\\\\6n = 282 - 6 = 276\\\\\text{Dividing both the sides by 6, we get}\\\\n = \dfrac{276}{6} = 46[/tex]

Thus, the three consecutive evens whose sum is 282 are:

[tex]2n = 2(46) = 92\\2n + 2 = 94\\2n + 4 = 96[/tex]

Therefore, the three consecutive even numbers whose sum evaluates to 282 are 92, 94, and 96

Learn more about consecutive numbers here:

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Hi jbax,

But the answer would be

92.92

Please mark me as brainliest

if you want caculations please let me know

The total surface area of both lake superior and lake Michigan is 53,978² mi.

I used addition to add up the surface area of both lakes.

Final answer:

The total surface area of Lake Superior and Lake Michigan is 53,978 square miles, calculated by adding the surface areas of both lakes using basic arithmetic.

Explanation:

To calculate the total surface area of both Lake Superior and Lake Michigan, you simply add the surface areas of the two lakes together. The surface area of Lake Superior is 31,700 square miles and the surface area of Lake Michigan is 22,278 square miles.

Using addition, the total surface area is calculated as follows:

Lake Superior: 31,700 square miles

Lake Michigan: 22,278 square miles

Total surface area: 31,700 + 22,278 = 53,978 square miles

The strategy or tool used to solve this problem is basic arithmetic, specifically addition. By adding the two areas together, we find that the combined surface area of Lake Superior and Lake Michigan is 53,978 square miles.

Answer:

$1050.00

Step-by-step explanation:

The leasing company has a base rate for the first 15,000 miles, but has an additional charge of $500+0.25/mile for each mile over the 15,000 miles.

Bradley has already driven 4,300 miles in first three months.

And he drives a similar amount for the rest of the year. So we can calculate on an average how much distance does he cover each month:

So he has driven 4,300 miles in three months, on an average the distance he drives a month, is:

[tex]\frac{4300}{3}=1433.33 [/tex] miles

So over 12 months he drove:

[tex]1433.33\times 12=17200[/tex] miles

Now, for first 15,000 miles he needs to pay some base rate. Now we will calculate how much extra has he driven beyond 15,000 miles.

So he has driven:

[tex]17200-15000=2200[/tex]

He has driven 2,200 miles extra beyond first 15,000 miles.

So the additional amount he needs to pay is:

[tex]\$500+\$(0.25\times 2200)=\$500+\$550=\$1050.00[/tex]

Therefore, the additional amount that is in addition to the base rate that he needs to pay is $1050.00.

Answer: Bradley has to pay $1050 extra to the leasing company.

Step-by-step explanation:

Distance traveled by Bradley's car in 3 months i.e.1/4 of year =4300 miles

Distance traveled by Bradley's car in 1 year(12 months) =4 times he drove for 1/4 of year=4×4300=17200 miles

Now,Extra distance covered by car=17200-15000=2200 miles

As there is a additional charge of $500 + $0.25/mile for each mile over the 15,000.

Thus, he has to pay extra amount=$500+$0.25 times extra distance=$500+$(0.25×2200)=$500+$550=$1050

∴ Bradley has to pay $1050 extra to the leasing company.

4.836 are you  a boy or not

The first thing we need to do is define our unknowns.

Jiri's age can be represented by x

Pamela's age can be represented by 2x

So,

2x+x = 69

3x = 69

x = 23

So, Jiri is 23, and Pamela is 46.

If I understand the question, then he would be able to make 22 2/3 patties if each patty requires 1 1/2 pound of secret formula and he only has 34 pounds.

A. Total pairs to dress pairs

The ratio of 7 : 3 accurately describes the relationship between Teresa's total pairs of shoes, which is 7 (3 dress + 4 sneakers), to her dress pairs. Thus, option A, 'Total pairs to dress pairs,' is the correct answer as it simplifies to 7:3.

The student is asking about ratios. Teresa has 3 pairs of dress shoes and 4 pairs of sneakers, which makes a total of 7 pairs of shoes. The ratio 7 : 3 could describe several different relationships between these numbers. However, we must find a ratio that could simplify to 7 : 3 based on the information given. Here are the options with their simplified ratios:

The correct answer is A. Total pairs to dress pairs, as this is the only option where the ratio correctly simplifies to 7:3, representing 7 total pairs of shoes to 3 pairs of dress shoes.

Answer is provided in the image attached.

Answer:

1/3

Step-by-step explanation:

i took thee quiz and please make me branilest

Step-by-step explanation:

660 feet

given distance varies directly with time (t) then

d = kt ( k is the constant of variation )

find k using the condition d = 264 when t = 0.5

k = [tex]\frac{d}{t}[/tex] = [tex]\frac{264}{0.5}[/tex] = 528

thus d = 528t

when t = 1.25

d = 528 × 1.25 = 660 feet

Answer:

660 feet

Step-by-step explanation:

given distance varies directly with time then

d = kt

find k using the condition d = 264 when t = 0.5

k =  =  = 528

thus d = 528t

when t = 1.25

d = 528 × 1.25 = 660 feet

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0.00486101 is the answer

32 divided by 6583 is approximately 0.0049.

Division is a fundamental arithmetic operation that involves splitting a quantity into equal parts. It is the opposite of multiplication and is denoted by the symbol "/". In division, the number being divided is called the dividend, the number by which it is divided is the divisor, and the result is the quotient. Division helps distribute or share items equally and is crucial in various mathematical and real-life situations.

To find the result of 32 divided by 6583, we divide 32 by 6583. The quotient is the result of the division.

= 32/ 6583

= 0.004864647

Therefore, 32 divided by 6583 is approximately 0.0049.

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y + 4 = 2(x + 3)

the equation of a line in ' point-slope form ' is

y - b = m(x - a )

where m is the slope and (a, b) a point on the line

here m = 2 and (a, b) = ( - 3, - 4)

y + 4 = 2( x + 3 ) ← in point-slope form

174 divided by 3 equals 58

When you add 2 to 58 and subtract 2 from 58 they cancel out to be 58

so the answer is 58-2=56

Multiply all the numbers together to get your answer.

Y-intercept is 14/3.

I am pretty sure it would be 15, because 75 x .20 = 15. Have a great day!

The answer would be 15. 15 times 5 is 75. And 5 times 20 would get 100% or 75. I hope this helps.

your answer would be 2

A = 5/6(B + C)

multiply 6 on both sides

6A = 5(B + C)

divide 5 from both sides

6A/5 = B + C

subtract B from both sides

6A/5 - B = C

The solution of the equation for C will be 6A / 5 - B.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

The expression is given below.

A = 5/6 (B + C)

Then solve the equation for C, then we have

6A / 5 = (B + C)

      C = 6A / 5 - B

More about the Algebra link is given below.

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Answer:

I did the test and got 100 the awnser to this qwestion is 6 hope you get 100. Good luck

Step-by-step explanation:

Your answer is 2/17. Hope this helps!

Remark

Some calculators will give you the answer directly without any intermediate steps. Just a b/c  key and the * key. Having done that the answer is 2/17

Solution

Doing this by hand can be a bit of trouble. I think the easiest way is to multiply the first and third together and then worry about the middle one.

[tex]\dfrac{2}{3}*\dfrac{1}{4}=\dfrac{2*1}{3*4}=\dfrac{2}{12}=\dfrac{1}{6}[/tex]

now just multiply your answer from the above job with the middle fraction.

[tex]\dfrac{1}{6}*\dfrac{12}{17} =\dfrac{1*12}{6*17}=\dfrac{2}{17}[/tex]

because 12 ÷ 6 = 2

Answer:

5×-4=-20 you can draw a number line =3+5=8×9=72-7 =65-20=45

I got the answer 18.79

I believe this is correct, Please tell me if im wrong. :)

Answer: I think the answer is Principal but I'm not too sure

Step-by-step explanation: Principal means denoting an original sum invested or lent.

Answer: it’s principal

Step-by-step explanation: step-by-step