Which Two Segments Have The Same Length? (2024)

Jonah has chosen the greater number.

Given, Sue and Jonah chose numbers for a place value game.

As a way to express numbers, a number system is a way of expressing them. It is a method of describing numbers from a particular set mathematically by consistently employing digits or other symbols. Every number is given a distinct representation, and the figures' algebraic and mathematical structures are also shown.

Sue chose the number = one hundred fifty two thousand

= 152000

= 1.52 lakhs

Jonah chose the number = five million

= 5,000,000

we know that 10 lakhs = 1 million = 1,000,000

therefore, 5 million = 5 × 10 lakhs

= 50 lakhs

50 lakhs > 1.5 lakhs

the greater number is 5 million.

Therefore , the greater number chose by Sue and Jonah is of Jonah's that is 5 million.

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The arithmetic mean of two terms in an arithmetic sequence is 42 .

What is sequence?

One term is 30 then other term is

42 = (x+30)/2

x=54

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.

Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.

An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.

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Answer:

Part1: 4.25 + 4.00x = 12.25
Part2: 2 lbs. of potato salad. The customer bought 2 lbs because you subtract 4.25 from 12.25 and are left with $8. You would then divide 8$ by 4 and end up with 2

the bacterial cell is 6.25*10 times smaller than the amoeba cell.

How many times smaller is the bacterial cell than the amoeba cell?

To find how many times smaller is the bacterial cell than the amoeba cell, we need to take the quotient between the amoeba cell's length and the bacterial cell's length

We know that:

bacterial cell's length = 4*10^(-6) m

amoebas cell's length. = 2.5*10^(-4) m

The quotient gives:

Q = ( 2.5*10^(-4) m)/(4*10^(-6) m) = (2.5/4)*(10^(-4)*10^6) = 0.625*10^(-4 + 6)

Q = 0.625*10^2

Now we want this in scientific notation, so we need to have a digit in the left fo the decimal point, so we can rewrite this as:

Q = 0.625*10^2 = 6.25*10^1 = 6.25*10

Then the bacterial cell is 6.25*10 times smaller than the amoeba cell.

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The values of a9 and a10 are 52 and 58 respectively.

What is an arithmetic sequence?

An ordered group of integers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6. An arithmetic progression is another name for an arithmetic sequence.

For the arithmetic sequence,

4,10,16,22, . . . .

a = 4

d = 6

an = a + (n - 1)d

a9 = 4 + (8)6

a9 = 4 + 48

a9 = 52

a10 = a + 9d

a10 = 4 + 9(6)

a10 = 4 + 54

a10 = 58

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Answer:

I think dividing them by the same number is a solution so , 15/5 to 25/5

= 3:5

The slope of the line passing through the points (2,4) and (4,2) is -1

How do you determine a line's slope?

Determine the coordinates of two locations along the line that you choose. Find the difference between these two locations' y-coordinates (rise). Find the difference between these two locations' x-coordinates (run). Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.

Formula to determine the slope is - y₂ - y₁ / x₂ - x₁

Given are the points -

(2,4) and (4,2)

slope of the line = 2 - 4 / 4 - 2

= -2 / 2

= -1

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Let’s solve this by identifying the unit rate. We can mark out what we know so far:

• 6 tutors are needed for every 72 students

• The part about the teachers is inserted to throw us off; we can disregard it

Given that information, we can set up equations:

6 tutors / 6 tutors = 1 tutor

72 students / 6 = 12 students

Our unit rate is 12; there is one tutor required for every 12 students.

Now that we have the unit rate, let’s multiply:

1 • 10 = 10

12 • 10 = 120

The academy needs 10 tutors for if it has 120 students.

Using proportions, it is found that:

a. There are 2736 calories in the fudge recipe.

b. There are 42.75 calories in a 1-inch by 1-inch piece of fudge.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, the recipe is composed by:

6 ounces of cream cheese: 99 calories per ounce.1/8 of a teaspoon of salt: 0 calories.1/2 of a teaspoon of vanilla extract: 12 calories in a teaspoon.4 cups of sugar: 389 calories per cup.4 squares of chocolate: 145 calories per square.

Hence the number of calories in the recipe is given by:

6 x 99 + 0.5 x 12 + 4 x 389 + 4 x 145 = 2736.

There are 2736 calories in the fudge recipe.

For item b, the areas are given as follows:

Dish: 8 x 8 = 64 inches².Piece: 1 x 1 = 1 inch².

Hence the piece of fugde is 1/64 of the recipe, thus:

1/64 x 2736 = 42.75 calories.

There are 42.75 calories in a 1-inch by 1-inch piece of fudge.

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The operator *= is called multiple assignment operator.

How to determine the name of the operator?

The operator is given as

*=

Take for instance, we have the following statement in Python

a *= b

The meaning of the above statement is

a = a * b

Assume the following values for the variables

a = 6 and b = 3

The value of the operation a *= b would be

a *= b --- given expression

a = a * b --- expanded expression

a = 6 * 3 ---- when the values are substituted

a = 18 --- the result

This implies that the operator represents an assignment and a multiply operator

Hence, the operator *= is called multiple assignment operator.

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In order to find this, you have to first find the equation of the sequence. In order to find that equation, first make two ordered pairs using x as what number it is in the sequence and y as the value. Therefore you have the following ordered pairs: (1, -29) and (2, -22). Given that, we can find the slope by using the slope formula below.

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Answer:

-14

Step-by-step explanation:

if you add negative fourteen by 8 you would get 6 and you keep the sign of the greater number

Answer=-14

Because you will subtract -8-6 which equals -14

Answer:

Area = 792 m

Step-by-step explanation:

You can cut the polygon into 2 rectangles.
Subtracting 18 from 60 can give you the length of rectangle A, so 42 will be the new length for rectangle A.

Multiply 6 and 42 to get 252 for the area of rectangle A.

Multiply 18 and 30 to get 540 for the area of rectangle B.

Answer:

5x - 40

Step-by-step explanation:

8(x-5)-3x

Distribute

8x - 40 - 3x

Combine like terms

5x - 40

Answer:

42 miles per gallon

Step-by-step explanation:

First, Convert it into a decimal to make it easier, 26.25 miles on .625 gallon. Now we Divide the two numbers 26.25 ÷ .625 = 42.

Hope this helps :D

The perimeter of the smaller of the two similar trapezoids is 14 yards.

Similar polygons are polygons that have equal corresponding angles and proportional corresponding sides.

The ratio of one side of a polygon to the corresponding side of the other is called the scale factor.

The ratio of the perimeters is the same as the scale ratio, while the ratio of the areas is the square of its scale ratio.

If two similar trapezoids have a scale factor of 3 : 2, then the ratio of their perimeters is also 3 : 2.

If the perimeter of the larger trapezoid is 21 yards, solve for the perimeter of the smaller trapezoid using the ratio for the perimeter.

3 : 2 = 21 yards : perimeter of the smaller trapezoid

perimeter of the smaller trapezoid = 2(21 yards)/3

perimeter of the smaller trapezoid = 14 yards

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Answer:

No Because 1/1 : 3/4 = 4/3 and 1/3 : 4/1 = 1/12

The result of the expression -5(x+2y)+15(x+2y) for the variable x=7 and y= -7 is -70

Given,

The expression = -5(x+2y)+15(x+2y)

The value of the variables

x=7 and y= -7

Substitute the values in the expression

-5(7+2(-7))+15(7+2(-7))= -5(7-14)+15(7-14)

=-5(-7)+15(-7)

=35-105

=-70

Hence, the result of the expression -5(x+2y)+15(x+2y) for the variable x=7 and y= -7 is -70

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The percentage of decrease in calories is 33 % .

What is percentage ?

A percentage is a relative figure that represents one tenth of a quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Given:

Initial caloric intake = 3000 per day

Final caloric intake = 2010 per day

Therefore percent of decrease in calories = 3000 - 2010 / 3000 x 100

= 33 %

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Answer:

3 upon 2. that's the answer ..

The lines are not perpendicular because: B. the slopes of the lines are not opposite reciprocals

What are Slopes of Perpendicular Lines?

If two line are perpendicular to each other, they will have slope values that are the opposite reciprocals of each other.

Slope of the red line = change in y / change in x = (-9 - 11)/(0 -(-8))

Slope of the red line = -20/8 = -5/2

Slope of the blue line = (8 - 2)/(8 -(-8))

Slope of the blue line = 6/16 = 3/8

3/8 is not the opposite reciprocal of -5/2. Therefore, the lines are not perpendicular because: B. the slopes of the lines are not opposite reciprocals

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The number of pensioners in the sample is 40.

Given,

Visitors to a cinema are either adults, children, or pensioners.

The ratio of children to adult visitors is 1:2.

The ratio of adults to pensioners is 3:4.

A stratified sample of 85 is to be taken from the cinema visitors.

We need to find out how many pensioners should be in the sample.

How do we find the number of items from a given ratio?

Example:

Out of 10 pens, the ratio of the red and blue pens is a:b

The number of blue pens = [ b / (a + b) ] x 10

The number of red pens = [ a / (a + b) ] x 10

We have,

Total number of visitors = 85

children:adult = 1:2

adults:pensioners = 3:4

Here,

Let,

The number of children be C.

The number of adults be A.

Number of Pensioners be P.

Now,

1C : 2A

: 3A : 4P

3C : 6A : 8P

Now,

3C + 6A + 8P = 85

This means 8 is the ratio of pensioners.

= 8 / (3 + 6 + 8) x 85

= (8 / 17)x 85

= 8 x 5

= 40

Thus the number of pensioners in the sample is 40.

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Step-by-step explanation:

Using the formula c=6p+200 you can plug 350 in for c and solve for p

350=6p+200

-200 -200

150=6p

/6 /6

25=p

So, she can invite 25 people to her birthday party.

The solutions to the equation are x = -5 and x = 3

How to solve the equation?

The equation is given as

x^2 + 2x - 15 = 0

Expand the equation

So, we have

x^2 + 5x- 3x - 15= 0

Factorize

(x + 5)(x - 3) = 0

Solve for x

x = -5 and x = 3

Hence, the solutions to the equation are x = -5 and x = 3

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Answer:

The runners drank 661 bottles of water.

Step-by-step explanation:

Subtract 661 from 750, and you are left with 89.

The term "length" is used to describe an object's size or the separation between two points. Lindsey must buy 4 feet of the board for the ramp itself.

What is meant by length?

The term "length" refers to the measurement or size of something from end to end. In other terms, it is the greater of the upper two or third dimension of a geometric shape or object.

Distance exists estimated in length. The length contain the dimension of distance in the International System of Quantities. The majority of measurement systems select a base unit for length from which all other units exists derived. The meter serves as the foundational unit of length in the International System of Units.

A rectangle, for instance, has length and width as its dimensions.

1/x = 15°

x = 1/sin 15°

simplifying the above equation, we get

x = 3.9ft

x ≈ 4 ft

Therefore, the value of x ≈ 4 ft.

Lindsey must buy 4 feet of the board for the ramp itself.

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Answer:

The answer is 9/7 yards.