Frank was born in 1933 and died in 1946 at the age of 57. How can this be?

Answer:

  3/5 < 3/4   (The symbol you need is <.)

Step-by-step explanation:

The problem is asking you to compare the fractions 3/5 and 3/4. You need to supply a comparison symbol, one of {<, =, >}.

In general, when you are asked to compare two values, you are being asked which one is greater (or smaller). Sometimes, you are being asked for the amount by which one is greater than the other (their difference), and sometimes you are being asked for the factor by which one is greater than the other (their ratio).

You can do the arithmetic to find the appropriate difference or ratio, or you can use your number sense to identify the larger (or smaller) number.

As you know, the denominator of a fraction tells you how many pieces the pie has been divided into.

In the fraction 3/5, the 5 tells you each piece is 1/5 of the whole, that there are 5 equal pieces.

In the fraction 3/4, the 4 tells you each piece is 1/4 of the whole, that there are 4 equal pieces.

A pie divided into 5 pieces instead of 4 has smaller pieces. That is ...

  1/5 < 1/4

When there are 3 pieces of each, this relation still holds:

  3×(1/5) < 3×(1/4)   ⇒   3/5 < 3/4

__

Additional comment

Here, the numerators are the same, so we only need to compare the denominators to find the relationship. If the denominators are the same, we can compare the numerators.

If neither is the same, it is often useful to multiply one or the other or both of the fractions by some value so they will have a common numerator or denominator. The usual recommendation is to give the fractions a common denominator.

Here, the denominators can be made to be 20 in each case.

  [tex]\dfrac{3}{5}=\dfrac{3}{5}\cdot\dfrac{4}{4}=\dfrac{12}{20}\\\\\dfrac{3}{4}=\dfrac{3}{4}\cdot\dfrac{5}{5}=\dfrac{15}{20}[/tex]

The denominators are now the same, so we can compare values by comparing the numerators. 12 < 15, so 12/20 < 15/20 and 3/5 < 3/4.

Given x is Complimentary angle

Also, line1 is parallel to line2

Thus,
x [tex]+[/tex]  139° [tex]=[/tex] 132° [Alternate angle]

x [tex]=[/tex] 132°[tex]_[/tex][tex]_[/tex]- 139°

x[tex]=[/tex] -7°

What is Complimentary angle?

When two angles are added together, complementary angles are defined. When the total of the two angles is 90 degrees, we get a pair of complimentary angles. In other terms, two angles are said to be complimentary if they combine to make a right angle. In this case, we say that the two angles work well together.

If two angles sum to 90 degrees, they are said to be complimentary angles. In other terms, a right angle is created when two complimentary angles are combined (90 degrees). If the sum of angles 1 and 2 equals 90 degrees (i.e., angle 1 plus angle 2 = 90°), then the angles are complementary and are referred to as one another's complements.

60° + 30° in the illustration below equals 90°. These two angles are therefore complimentary according to the "Definition of Complementary Angles." The term "complement" refers to each angle that is one of the complimentary angles. Here,

The opposite of 30° is 60°.

The opposite of 60° is 30°.

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Answer:

baby help you with what? All i can do is pray for you,

Step-by-step explanation:

matter of fact bow yo head..............Amen

Answer:

Step-by-step explanation:

See the attached file below it will help to understand this problem and it will improve your grade and score.

Answer:

1. 15.17ft          2. 18.57ft           3. 22.41%

Step-by-step explanation:

1. What was the length of one side of the garage originally?

Area of a square = s × s which is also equal to s²

s means one side of the square, as it is a square, all sides are equal.

so

230 = s²

s = √230 = 15.17

2. What is the length of one side of the garage now?

The original area of the garage was 230ft²

But now, the area has increased by 50%

Increased Area = 230 × 50% = 115ft²

Total Area = 230 + 115 = 345ft²

In the question, they are saying that after the area is increased, the garage is still a square which means that the side lengths have equal values.

Area = s²

345 = s²

s = √345 = 18.57

3. What was the percentage increase of the length of one side?

  Length : Percentage

    15.17   :      100

   18.57   :         x

When the length of one side was 15.17, the percentage was 100% as that is what the original length was, we can use ratio and proportion to find what the percentage will be when the length is 18.57.

Now cross multiply

18.57 × 100 = 15.17x

1857 = 15.17x

1857/15.17 = x

x = 122. 41

The new percentage is 122.41%

The difference between both percentages is:

122.41 - 100 = 22.41

And 22.41 is the percentage increase.

Answer:

When expenses are greater than revenue (first choice)

Step-by-step explanation:

Answer:

When expenses are greater than our revenue

Answer:

y = - 2x² + 8x + 5

Step-by-step explanation:

the equation of a quadratic function in standard form is

y = ax² + bx + c ( a ≠ 0 )

to find a, b and c use ordered pairs from the table

(0, 5 )

5 = a(0)² + b(0) + c = 0 + 0 + c = 5 ⇒ c = 5 , then

y = ax² + bx + 5

(1, 11 )

11 = a(1)² + b(1) + 5 = a + b + 5 ( subtract 5 from both sides )

a + b = 6 → (1)

(2, 13 )

13 = a(2)² + b(2) + 5 = 4a + 2b + 5 ( subtract 5 from both sides )

4a + 2b = 8 → (2)

solve the 2 equations simultaneously to find a and b

multiplying (1) by - 2 and adding to (2) will eliminate b

- 2a - 2b = - 12 → (3)

add (2) and (3) term by term to eliminate b

2a + 0 = - 4

2a = - 4 ( divide both sides by 2 )

a = - 2

substitute a = - 2 into (1) and solve for b

- 2 + b = 6 ( add 2 to both sides )

b = 8

then a = - 2, b = 8 and c = 5 gives the standard quadratic function

y = - 2x² + 8x + 5

Step-by-step explanation:

standard equation would be

y = ax² + bx + c

out of that we know already from (0, 5) that c = 5, as

a×0² + b×0 + c = 5.

because of (-1, -5) we see

-5 = a×1 + b×-1 + 5 = a - b + 5

-10 = a - b

or

a = b - 10

because of (1, 11) we see

11 = a×1 + b×1 + 5 = a + b + 5

6 = a + b

now we use the previous equation :

6 = (b - 10) + b = 2b - 10

16 = 2b

b = 8

.

a = b - 10 = 8 - 10 = -2

so, our standard equation is

y = -2x² + 8x + 5

The value of the underlined digit 2.439 , 1.987 ,  6.175 , and 0.618 is equal to tenth, thousandth, Ones and tenth.

As given in the question,

Given number = 2.439 , 1.987 ,  6.175 , and 0.618

Value of underlined digit :

2.439 = Tenth or 4 / 10

1.987 = Thousandth or 7/1000

6.175 = Ones or 6

0.618 = Hundredth or 1/100

Therefore, the value of the underlined digit 2.439 , 1.987 ,  6.175 , and 0.618 is equal to tenth, thousandth, Ones and tenth.

The complete question is :

How do i write the value of this underlined digit 2.439 , 1.987 ,  6.175 , and 0.618 ?

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7) No, y has two different values when x = -1.

8) Yes, each value of x maps onto only one value of y.

9) Yes, each value of x maps onto only one value of y.

Answer:

Sally is 12 years old.

Step-by-step explanation:

[tex]2x+3=27\\2x+3-3=27-3\\2x=24\\\frac{2x}{2}=\frac{24}{2}\\x=12[/tex]

Answer:

Ama is an elephant so she is 2 years old

Step-by-step explanation:

The like terms are -xy, 1/2xy and 2xy

Like terms are expressions that have the same variable factor

Take for instance, 2x and 5x are like terms because their variable factors are x

Also, 5x and 2xy are not like terms

Using the above as a guide, the like terms are -xy, 1/2xy and 2xy

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one on right is 2,-2 and one on left is -1,1

Answer:42

Step-by-step explanation:

The greatest angle in the given triangle is 104 degrees.

Given:

So,

As a result, the second angle has a measurement of 26 degrees.

The first angle's measurement is now 24 degrees greater than the second angle's measurement.

Now,

As a result, the first angle has a measure of 50 degrees.

The third angle is now four times the size of the second angle.

So,

Therefore, the greatest angle in the given triangle is 104 degrees.

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Answer: a, 9x10^9, largest number 900000000

Answer: greatest is A.

Step-by-step explanation:

Answer:

I don't know

Step-by-step explanation:

tdhdujdjbd

Answer:

4725

Step-by-step explanation:

105 students

think of 100 students

100 × 45 = 4500

now the remaining 5 students

cost for 10 students will be

45 × 10 = 450

divide 450 by 2 to find out for 5 students

it is 225

4500 + 225 = 4725

Answer:

21

Step-by-step explanation:

Hello!

Substitute the values of j and k and evaluate.

The evaluated value is 21.

Answer:

cos = 4/5

Step-by-step explanation:

having sides 3 and 5, means that this is a right triangle with sides 3,4, and 5

cos = adjacent side/ hypotenuse

sin= opposite side/ hypotenuse

since 5 is the biggest number it will be the hypotenuse since that is the longest side, so it will stay on the bottom.

hope this helps! if you have any more questions just ask

Step-by-step explanation:

y = f(x)

this has the same meaning. y is just the variable for the functional result value. while x is usually used as variable for the input value.

so (I recommend to use the brackets to make sure that people understand it is meant that x gets multilevel by 3 in the numerator, and not by 4 in the denominator),

y = 12 + (3/4)x

is the same as

f(x) = 12 + (3/4)x

you could also write it as

f(x) = 12 + 3x/4

don't skip things, always think about the rules of the sequence of the operations in an expression, and how a reader could understand it. always be as precise, complete and consistent as possible.

Answer:

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

Total number of outcomes is 16, count of all outcomes.

Number of outcomes with 3 or more tiles is 5:

The probability is:

Correct choice is D.

A coach may use 240 different player combinations on the rink.

What are some permutation and combination examples?

The arrangement of people, numerals, numbers, alphabets, letters, and colors are a few examples of permutations.

Combinations include picking the meal, the cuisine, the attire, the subjects, and the team, for instance.

Forward 6C3 = 20

Defence 4C2 = 6

Golie 2C1 = 2

No. of possible Combination = 20 * 6 * 2 = 240

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Answer:

C is correct

Step-by-step explanation: please let me know if it was rong

Answer:

240 miles

Step-by-step explanation:

Because it took 5 hours going 48 miles per hour, therefore 5 x 48 =240

The equation can be summarized as; p = $50 + 3($100 ). Hence William was paid $350.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

Let p represents the paycheck.

William  paid her parents $50 for rent. After paying the rent he evenly divided the rest of the amount into three parts.

He puts $ 100 into her savings account. It means that he also puts $100 into checking account and $ 100 into retirement fund

If we put the parts together, the equation we get is;

p = $50 +$100 +$100 +$100

The equation can be summarized as;

p = $50 + 3($100 )

Now we can easily find how much was William  paid;

p = $50 + 3($100)

p = $50 +$300

p = $350

Hence William was paid $350.

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