John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. Complete the table.

A 6-column table with 1 row. Column 1 is labeled Approximate Value with entry 100 dollars. Column 2 is labeled Exact Value with entry 75 dollars. Column 3 is labeled Error with entry 25 dollars. Column 4 is labeled Absolute Error with entry 25 dollars. Column 5 is labeled Ratio with entry e. Column 6 is labeled Percent Error with entry f.

What is the ratio? e =
What is the percent error

The mass of 1 liter (1000 mL or 1000 cm(^3)) of Argon would be 1.78 grams.

To determine the number of atoms of Argon required to make a line 1 inch long, we need to calculate the number of atoms that can fit within that length.

First, we convert the atomic radius of Argon from picometers (pm) to inches.

1 inch = 2.54 cm = 2.54 * 10^7 pm (since there are 10^12 picometers in a meter)

The atomic radius of Argon is 188 pm, we can convert it to inches:

188 pm * (1 inch / 2.54 * 10^7 pm) = 7.40157 * 10^(-6) inches

Next, we calculate the number of atoms that can fit in 1 inch:

Since the atomic radius represents half the length of an atom, we double it to get the length of a single atom:

2 * 7.40157 * 10^(-6) inches = 1.48031 * 10^(-5) inches

To find the number of atoms that can fit in 1 inch, we divide the length of 1 inch by the length of a single atom:

1 inch / (1.48031 * 10^(-5) inches) = 6.751 * 10^4 atoms

Therefore, approximately 67,510 atoms of Argon must be lined up to make a line 1 inch long.

B. To calculate the mass of 1 liter (1000 (cm^3)) of Argon, we need to use its density:

Density = mass / volume

Rearranging the equation, we can solve for mass:

Mass = Density * Volume

Since the volume is given in cm(^3) and the density is given in g/cm^3, the resulting mass will be in grams.

Given that the density of Argon is 1.78 * 10^(-3) g/cm^3 and the volume is 1000 cm^3, we can calculate the mass:

Mass = 1.78 * 10^(-3) g/cm^3 * 1000 cm(^3) = 1.78 grams

Therefore, the mass of 1 liter (1000 mL or 1000 cm(^3) )of Argon would be 1.78 grams.

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Answer:

dimes: 5

quarters:8

Step-by-step explanation:

she has 2$ in quarters and $0.25 in dimes

Answer:

10 Dimes and 5 Quarter

Step-by-step explanation:

Important info:

18 Coins worth a total of $2.25

Note:

Dimes = .10

Quarter = .25

10 Dimes = 1.00

4 Quarter = 1.00

Question to Answer:

How many each type of Coin does she have?

Solution:

Lets get rid of .25 in $2.25 :)

So that 1 Quarter..

2.00

Takes away 1.00 = 10 Dimes

Now we have 1 Quarter and 10 Dimes.

1.00 Left..

4 Quarter = 1.00

So now we have 5 Quarter and 10 Dimes..

Check Work:

5 Quarter = 1.25 and 10 Dimes = 1.00

1.25+1.00=

$2.25

Hence. Loria has 5 Quarter and 10 Dimes.

{ Couldn't figure out 18 Coins worth a total of $2.25 the closest I could get was 15 Coins worth a total of $2.25}

~[ RevyBreeze]~

Answer:

y = -6x + 2

Step-by-step explanation:

(1, -4)     m = -6

(x₁, y₁)

y - y₁ = m (x - x₁)

y - (-4)= -6 (x - 1)

y + 4 = -6x + 6

  -4             -4

------------------------

y = -6x + 2

I hope this helps!

Answer:

  a) common ratio: 0.8

  b) equation: y = 100(0.8^x)

Step-by-step explanation:

Given the terms of a geometric sequence ...

  (x, y) = (0, 100), (1, 80), (2, 64), ...

you want the common ratio and the equation in the form y=a·b^x.

The common ratio is the ratio of each term to the previous term:

  b = 80/100 = 64/80 = 51.2/64 = 0.8

The value of 'a' in the equation is the value of y when x=0. The table tells you a = 100.

For a = 100 and b = 0.8, the equation is ...

  y = a(b^x)

  y = 100(0.8^x)

Answer:

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

4(4)+3(4)-2(4)=20

Answer:

\(\frac{11}{87}\)

Step-by-step explanation:

Total number of people = 130

Number of people who use the gym = 73

Number of people who use the pool = 62

Number of people who use the track = 58

Number of people who use the gym and the pool = 22

Number of people who use the pool and the track = 29

Number of people who use the gym and the track = 25

Number of people who use all three facilities = 11

Total number of people who use at least two facilities = 22 + 29 + 25 + 11 = 87

The probability that the randomly selected person uses all three facilities = number of those who use all three facilities ÷ total number of people who use at least two facilities.

==> 11 ÷ 87

==> \(\frac{11}{87}\)

The Solution:

Given:

The roots of the quadratic equation are:

We are asked to find the second factor:

Therefore, the correct answer is 3x - 2 [ option 2 ]

Answer/Step-by-step explanation:

When you have one or more parentheses inside a parentheses you change it to bracket so it is easier to tell which parentheses belongs to which.

Instead of ((-2+5)x4), it would be [(-2+5)x4]

It does not affect the answer

Answer: The given quadratic expression is -3x²+172x-20. To factor this expression, we look for two numbers that multiply to -20 and add to 172.

We can start by dividing -20 by different numbers and checking if the product and the sum of the divisors equals -20 and 172 respectively.

-20/1 = -20, 1+-20 = -19

-20/2 = -10, 2+-10 = -8

-20/4 = -5, 4+-5 = -1

-20/-1 = 20, -1+20 = 19

-20/-2 = 10, -2+10 = 8

-20/-4 = 5, -4+5 = 1

We can see that the divisors that multiply to -20 and add to 172 are (x+8)(x-5)

So, we can factor the quadratic expression as:

-3x²+172x-20 = -3(x+8)(x-5)

Hope this helps!

Step-by-step explanation:

Since the graph was not given, answer will be subjective. The graph that shows the solution to the system of linear inequalities of  2x – 3y <12 y < –3 is the one that has It is option B.

A linear inequality is  said to be a kind of an inequality that entails a linear function.

Note that a linear inequality is said to be made up of one of the symbols that connote inequality. It is the one that depicts the data that is not equal on a graph.

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Answer:

The correct answer is Graph B

Step-by-step explanation:

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Weight of a 24 square foot, 2 inch thick aluminum plate will be: 720 lbs.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

To find: weight of a 24 square foot, 2 inch thick aluminum plate

Finding:

By unitary method, we get:

Weight of 1 square foot aluminum plate = 15 lbs.

Weight of 24 square foot aluminum plate = 15(24) lbs = 360 lbs.

Again, by unitary method, we get:

Weight of 1 square foot, 1 inch thick aluminum plate = 15 lbs.

Weight of 24 square foot, 1 inch thick aluminum plate = 15(24) lbs = 360 lbs.

Weight of 24 square foot, 2 inch thick aluminum plate = 360(2) lbs = 720 lbs.

Hence, Weight of 24 square foot, 2 inch thick aluminum plate = 720 lbs.

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Answer: The shape below is formed from a rectangle measuring 18 cm by 24cm from which a rectangle of length 8.6cm has been removed

Step-by-step explanation:

initial Perimeter of rectangle =  2 (24 + 18)  = 84 cm

After removing rectangle of  length 8.6 cm

two sides of 8.6 cm are added in perimeter

Perimeter of Shape

= 2 (24 + 18)  + 8.6 + 8.6

= 84 + 17.2

= 101.2  cm

perimeter of the shape = 101.2  cm

From the information, the correct value that expresses the division will be 300 ÷ 75 = R

From the information given, the thing to do is simply to use the number in the box to divide the number beside it and get the information.

This will be:

= 3000 ÷ 75 = 40

= 300 ÷ 75 = 4

Therefore, the expression is 300 ÷ 75 = R.

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The probability of both rice and carrots being served with dinner is 23.4%.

The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.

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Answer:

Step-by-step explanation:

y=38(0.29)^x is an exponential function whose initial value (when x = 0) is 38.  This function increases steadily from this value, due to the +(0.29) base of this exponential.  As x grows increasingly large, the rate at which y is increasing drops steadily.

Answer:   \(\frac{10}{100}\)× 100

Step-by-step explanation:

Answer:

10/100 = 10%

Step-by-step explanation:

10/100 = 0.1

0.1 * 100 = 10%

Answer: Answer is B

Step-by-step explanation:  

102.3 divided by 23.8 = 4.30 = 4

Tara can make a maximum of 6 pasties.

To determine the maximum number of pasties Tara can make, we need to calculate how many batches of the pastry recipe she can make with the available ingredients.

Considering the pastry recipe requires 300 g of flour and Tara has 1.8 kg (1800 g) of flour, she has enough flour for 1800 g / 300 g = 6 batches of pastry.

For each batch, the recipe requires 120 g of butter. Since Tara has 780 g of butter, she has enough butter for 780 g / 120 g = 6.5 batches of pastry. However, since we can't have half a batch, Tara can only make a maximum of 6 batches.

Given that each batch of pastry is used for 8 pasties, Tara can make a total of 6 batches * 8 pasties per batch = 48 pasties. Thus, the maximum number of pasties Tara can make with the available ingredients is 6.

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Answer:

the area of triangle formula is A = B*H  / 2 so it means 16 square = (x+4) x /2 so x²+4x -32=0, D' = 2²- (-32)= 36, sqrt of D' = 6 so x = -2 -6 = -8 or x= -2 +6 = 4 x must be positive so x = 4

Step-by-step explanation:

i really hoped this helped you.

Answer:

-7 1/2 equals to -7.5

so

-7.5 ___ -7.75

-7.5 > -7.75

The width is 5 units.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

length = width + 1

let the width be x

length= x+ 1

So, area of rectangle= l x w

30 = x( x+ 1)

x² + x - 30=0

x² + 6x - 5x - 30=0

x( x+ 6) - 5(x +6)= 0

(x+ 6)( x- 5)= 0

x= -6 or 5

Hence, the width is 5 units.

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The relationship between the number of balloons remaining and the number of hats created is 5x + y = 500.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Describe the line representing the relationship between the number of balloons remaining and the number of hats created.

The points are (0, 500) and (100, 0).

Let y be the relationship between the number of balloons remaining and x be the number of hats created.

Then the relation is given as

\(\rm y = mx +c\)

The line passing through (0, 500). Then

\(\rm 500 = m(0) +c\\\\c \ \ \ =500\)

Then the equation will be

\(\rm y = mx + 500\)

The line passing through (100, 0). Then

\(\rm 0 = 100m + 500\\\\m = -5\)

Thus, the equation of a line is 5x + y = 500.

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ok first you need to add e and 4 and get 95 out of haha

Answer:

104.8 in^2

Step-by-step explanation:

There are 2 ways to solve this problem.

The 1st way:

Let's make 2 triangles and 1 rectangle:

Rectangle Length = 8.3

Rectangle Width = 8

So, the left out length will be 17.9 - 8.3

=> 9.6

Since, 9.6 cm is for 2 parts.

=> 9.6 / 2

=> 4.8

So, Height of the Triangle = 8

      Base of the triangle = 4.8

Area of a rectangle

=> 8.3 x 8

=> 66.4

Area of the triangle

=> 1/2 x 8 x 4.8

=> 4 x 4.8

=> 19.2

There are 2 triangles:

=> 19.2 x 2

=> 38.4

=> 66.4 + 38.4

=> 104.8

The area of the trapezoid = 104.8 in^2.

The 2nd way is:

Area of a trapezoid

=> Smaller Base + Larger Base / 2 x Height

=> 8.3 + 17.9 / 2 x 8

=> 26.2 / 2 x 8

=> 13.1 x 8

=> 104.8

The area of the trapezoid is 104.8 in^2

Answer:

Step-by-step explanation:

ab=ab (common)

angle d = angle c (isosceles prperty)

angle a = angle a (common)

there for the triangle is congruent so sides are congruent by CPCT

Answer:

51,300 rupees

Step-by-step explanation:

Surface area of the 2 short walls = 2 x 30 x 2.5 = 150

Surface area of the 2 long walls = 2 x 50 x 2.5 = 250

Surface area of the floor = 50 x 30 = 1500

Total surface area = 150 + 250 + 1500 = 1900 m²

27 rupees/m² x 1900 m² = 51300 rupees

The right expression for determining the number of sit ups Jean did in this week is , x = 2× 3 + 3×3 and in count it is equals to 15.

We have, Last week the number of sit ups done by Jean on Monday = 2 sit ups

the number of sit ups done by Jean on Wednesday = 3 sit ups .

But this week, her sit ups are three times as many sit ups as last week. Let us assume the number of sit ups she did in this week be "x".

Total sit ups done by her in last week = 2 + 3

= 5

The expression, used by her to calculate the number of sit ups she did this week = 2+3×3 --(*)

According to problem, In this week the number of sits ups that she did, x = 3× 5 or 2× 3 + 3×3 = 15 .

So, the right expression can be written as x =

2× 3 + 3×3 . Now, comparing the both expression to determine the error in her expression. The error in her expression is that she skip the 3 times in case of Monday sit ups.

Hence, the the number sit ups she did this week is 15 or 2× 3 + 3×3 .

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Complete question:

Last week, Jean did two sit-ups on Monday and three sit-ups on Wednesday. This week, Jean did three times as many sit-ups as last week. Jean used the expression to find the number of sit-ups she did this week. Explain and correct her error.