Sara divided up her dessert among her family. She gave her daughter 1/8 of the dessert, her son 1/4 of the
dessert, and her husband 3/8 of the dessert. How much of the dessert was left for Sara?

Answer:

Step-by-step explanation:

Given three relations between the costs of balls, bats, and bases, you want to find the cost of each.

Solving three linear equations in three unknowns can be accomplished easily by any number of calculators, apps, or spreadsheets. Here, we'll use an ad hoc solution.

Subtracting twice the third equation from the second, we have ...

  (4 balls + 8 bats + 2 bases) -(2(2 balls + 3 bats + 1 base) = 78 -2(33.60)

  2 bats = 10.80 . . . . . . . simplify

  1 bat = 5.40 . . . . . . divide by 2

Subtracting the second equation from the first, we have ...

  (10 balls +3 bats +2 bases) -(4 balls +8 bats +2 bases) = (99) -(78)

  6 balls -5 bats = 21 . . . . . simplify

  6 balls = 21 + 5(5.40) . . . . . add 5 bats and substitute their cost

  6 balls = 48 . . . . . . . . simplify

  1 ball = 8.00 . . . . . . . divide by 6

Using the last equation, we can find the cost of 1 base.

  1 base = 33.60 -2 balls -3 bats = 33.60 -2(8.00) -3(5.40)

  1 base = 1.40

The costs are ...

  1 ball: $8.00

  1 bat: $5.40

  1 base: $1.40

The expression for the area of a rectangle is [tex]2x^3-7x^2+6x-2[/tex].

It is given in the question that the length of the rectangle is [tex]2x^2-3x+1[/tex] and width is (x - 2).

We have to find a expression for the area of a rectangle.

We know that,

Area of a rectangle = l * b

Where,

l represents the length of the rectangle

b represents the breadth of the rectangle

Hence, using the data given in the question, we can write,

Area of a rectangle = [tex](2x^2-3x+1)*(x-2)[/tex]

Area of a rectangle = [tex](2x^3)+(-4x^2)+(-3x^2)+(6x)+(-2)[/tex]

Area of a rectangle = [tex]2x^3-7x^2+6x-2[/tex]

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Answer: she must sell 6 large photos and 6 small photos

Step-by-step explanation: and how I knew that is I multiplied 6 40 times and that gives you 240 and if you multiply 6 ten times that gives you 60 so 240 plus 60 is $300

Answer:

Rational.

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

This applies to the listed number.

Those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called descriptive statistics.

Descriptive statistics:- Descriptive statistics helps to describe, summarize and organize the set of data efficiently and in an informative way, so that it'll be easier to make conclusion about the data in order to make rational decisions. This method describes the characteristics of a dataset.

Example:- The average test score for the students of a particular class, gives descriptive sense of the typical scores.

There are three types of descriptive statistics-

Thus we can conclude that, those methods involving the collection, presentation, and characterization of a set of data in order to properly describe the various features of that set of data are called descriptive statistics.

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Descriptive statistics are those that involve gathering, arranging, and summarizing data.

Brief informational coefficients known as descriptive statistics are used to sum up a given data set, which may be a sample of a population or a representation of the entire population. Measures of the central tendency or measures of variability make up descriptive statistics (spread).

A descriptive statistic's main function is to summarize data. Only the data set from which they were derived are statements made by descriptive statistics; they never extend further than the data you have.

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Answer:

15

Step-by-step explanation:

105/7

15

Hope It Helps

Answer: 5b-40

Step-by-step explanation:

You have to distribute the 5 into both of the variables in the parenthesis

Hope this helps!

Answer:

x>5_1 =4ans answer is these

Answer:

#9: B

#10: D

Step-by-step explanation:

#9 had biggest scientific notaiton

#10 had smallet scientific notaiton and numbeer

Answer:

9. B

10. D

Step-by-step explanation:

a. 5406000000

b. 56040000000

c. 550400000

d. 6503000000

a. 900000

b. 120000

c. 3010000000

d. 19010

Answer:

7 : 1.

Step-by-step explanation:

1 - 7/8 = 1/8 is syrup.

So, water to syrup

= 7/8 : 1/8

= 7 :1.

The ratio of water to syrup is 7:1

The quantitative relation between two amounts showing the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here, 7/8 of a can of drink is water, the rest is syrup thus the fraction for syrup is 1/8 of the can. Therefore the ratio of water and syrup is

7/8:1/8=7:1

Hence, The ratio of water to syrup is 7:1

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Answer:

One solution is 64, 36, and 25

Another method is 25+36+64

Step-by-step explanation:

Answer:

30 Mins

Step-by-step explanation:

9 mins for 3 waffles is 3 mins per waffle. 9÷3=3

3 mins for each of 10 waffles is 30 mins. 3×10=30.

y=-20, x=-1, c= -5

SOlution :

three-by-three systems:

In order to solve systems of equations in three variables, known as three-by-three systems, the primary goal is to eliminate one variable at a time to achieve back-substitution. A solution to a system of three equations in three variables x,y,z

is called an ordered triple.

To find a solution, we can perform the following operations:

Interchange the order of any two equations.

Multiply both sides of an equation by a nonzero constant.

Add a nonzero multiple of one equation to another equation.

HOW TO: GIVEN A LINEAR SYSTEM OF THREE EQUATIONS, SOLVE FOR THREE UNKNOWNS.

Pick any pair of equations and solve for one variable.

Pick another pair of equations and solve for the same variable.

You have created a system of two equations in two unknowns. Solve the resulting two-by-two system.

Back-substitute known variables into any one of the original equations and solve for the missing variable.

3⁢x+6⁢y−5⁢z=29...(1)

-9⁢x+y+4⁢z=9...(2)

-8⁢x+7⁢y+5⁢z=4...(3)

Solving 1&2

3x+6(9-4z+9x)-5z=29

3x+54-24z+54x-5z=29

57x+54-29-29z=0

57x+25-29z=0

57x-29z=25...(3)

Solving  2& 3

-8x+7(9-4z+9x) +5z=4

-8z+63-28z+63x+5z=4

55x-23z-59=0 ..(4)

Solving 3 & 4

57x-29z=25...(3)

55x-23z-59=0 ..(4)

(55x29-57x23)x=59x23-25x23

-2906x = 2906

x=-1

putting it on equation 4

55x-23z-59=0 ..(4)

55(-1)-23z-59=0 ..(4)

z= - 5

-9⁢(-1)+y+4⁢(5)=9.

9+y+20=9

y=9-20-9

y=-20

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Answer:

(-4, 1, -7)

Step-by-step explanation:

and got it right on edmentum

The relationship between the length of a side and the area is non proportional.

The answer is non proportional because the side length is x,

so is the other side lengths.

The side lengths are all equal and to find area you do x squared or x times x.

So they are not proportional because there will be different numbers for each.

For example. X= 2, area ( x squared ) is 4.

Hence, The relationship between the length of a side and the area is non proportional.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In a square, we need to find the relationship between the length of a side and the area.

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Answer: 7.2

Step-by-step explanation: 2.4(3) is really just 2.4 * 3 so 2.4 times 3 is 7.2.

Answer:

13.824

Step-by-step explanation:

Raise 2.4 to the power of 3.

Answer:

2/11, 0.18, 18%

5 + 4 + 6 + 7 = 22

and 4 of those are 4 orange candies

4/22 = 2/11

Answer:

Solution

12-6b6+4b-3b4, find Polynomial in descending order

Solution:

The Given Polynomial =12-6b6+4b-3b4

Descending order is basically when its terms are arranged in order from largest degree to smallest degree

Descending order of polynomial =-6x6-3x4+4x+12

Step-by-step explanation:

Average speed of the train as it covered 30 kilometers in 8 minutes is equal to 139.8 miles per hour.

As given,

Total distance= 30 kilometers

Total time taken = 8 minutes

1 kilometer = 0.62137 miles

30 kilometers = 30 × 0.62137

                     = 18.641 miles

8 minutes = ( 8 / 60) hour

Average speed= total distance / total time taken

                                          = 18.641 / (8/60)

                                          = 139.8 miles/ hour

Therefore, average speed of the train as it covered 30 kilometers in 8 minutes is equal to 139.8 miles per hour.

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We get that the solution for the equation 4 x² - 7 x = 3 x + 24 as 4 or 3 / 2.

We are given an equation:

4 x² - 7 x = 3 x + 24

We need to solve it for x.

4 x² - 7 x - 3 x = 24

4 x ² - 10 x = 24

4 x ² - 10 x - 24 = 0

4 x² - 16 x + 6 x - 24 = 0

4 x( x - 4) + 6( x - 4) = 0

(x - 4)(4 x + 6) = 0

Solving for x, we get that:

x = 4 or x = 6 / 4 = 3 / 2.

Therefore, we get that the solution for the equation 4 x² - 7 x = 3 x + 24 as 4 or 3 / 2.

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Answer:

√18 is between 4.2 and 4.3

√52 is equivalent to 2√13

......

Slope of line PQ = -3

Slope of line RS = 3

They are neither parallel nor perpendicular.

If two lines are parallel to each other, they would have the same slope value.

If two line are perpendicular, the slope value of one would be the negative reciprocal of the other.

Slope = change in y / change in x.

Slope of line PQ = (-1 - 14) / (2 - (-3))

Slope of line PQ = -15/5 = -3

Slope of line PQ = -3

Slope of line RS = (-10 - 8) / (-2 - 4)

Slope of line RS = -18/-6

Slope of line RS = 3

The slopes of both lines are different, and are not negative reciprocals of each other, therefore, they are neither parallel nor perpendicular.

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Answer:

1. 75/6 (improper fraction) = 12 3/6 (mixed number) = 12 1/2 (simplified)

2. 2/12 = 1/6 (simplified)

3. 12/72 = 1/6 (simplified)

Hope this helps :)

Answer:

[tex]\frac{5}{6} * 15 = 12\frac{1}{2}[/tex]

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

[tex]\frac{4}{9} * \frac{3}{8} = \frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\frac{5}{6} * 15 = \frac{5 * 15}{6} = \frac{75}{6}\\[/tex]

Reduce the fraction by diving both sides by the common factor.

[tex]\frac{75}{6} = \frac{75 / 3}{6/3} = \frac{25}{2}[/tex]

To convert the improper fraction to a mixed fraction, divide the numerator (25) by the denominator (2), put the whole part of the result in front and the remainder in place of the original numerator.

25 / 2 = 12 with remainder of 1

[tex]\frac{25}{2} = 12\frac{1}{2}[/tex]

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

[tex]\frac{4}{9} * \frac{3}{8} = \frac{4 * 3}{9 * 8} = \frac{12}{72} = \frac{12 / 12}{72 / 12} = \frac{1}{6}[/tex]

Answer:

60.2 is the average

Step-by-step explanation:

add all numbers together to get: 301

divide 301 by 5 because there are 5 numbers total to get: 60.2

the five prime number are 19,29,29,37,41

mean =sum of observations / total number of observation

         = 19+29+29+37+41  /5

          = 155/5

          =31

median = (n+1) / 2  th term       n is number of term and n is odd

               = (5+1) /2 th term

                 = 3 rd term

                 = 29

mode = the value that appears most in the data

         = 29

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Given ~

[tex] \: [/tex]

[tex]\tt \: g(x) = - 5x - 5[/tex]

[tex] \: [/tex]

Now , put the value of x.

x = 1

[tex] \tt \: g(1) = - 5(1) - 5[/tex]

[tex] \: [/tex]

[tex]\tt \: g(1) = - 5-5[/tex]

[tex] \: [/tex]

[tex] \underline{\boxed{ \red{\tt \: g(1) = - 10}}}{\green✓}[/tex]

[tex] \: [/tex]

hope helps ~

The value of g(1) in the function g(x) = - 5x - 5 is - 10.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function  g(x) = -5x - 5.

Now to obtain the value of g(1) we'll simply replace x with 1.

∴ g(1) = - 5(1) - 5.

g(1) = - 5 - 5.

g(1) = - 10.

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Answer:

Step-by-step explanation:

If Carl weighs 76.12kg, and Tanya says w (weight) is ≥ 76.12 kg (greater than or equal to), Carl is equal to 76.12, meaning Tanya is Correct.

Answer:

128.52

Step-by-step explanation:

140 × (1-0.15) = 119

119 × 1.08 = 128.52

Answer:

$128.52

Step-by-step explanation:

Firstly to find the price of the scooter, you divide 140 by 100 and then multiply it by 15. The answer is what you subtract from the original price.

15(140/100) = 21

140 - 21 = 119

Now that we have the price of the scooter after the discount, we need to figure out the price of the sales tax. Sales tax is based on the reduced price, so we need to take the same steps as before to find the price. Divide 119 by 100, then multiply it by 8, then add the total to 119.

8(119/100) = 9.52

119 + 9.52 = 128.52

Answer = $128.52

Salma can rent the car for at most 5 days while driving 275 miles

Although part of your question is missing, you might be referring to this full question: A rental car company charges $22.50 per day to rent a car and $0.10 for every mile driven. Salma wants to rent a car, knowing that: she plans to drive 275 miles. She has at most $140 to spend. Write and solve an inequality which can be used to determine, the number of days Salma can afford to rent the car while staying within her budget

The equation which addresses this problem is:

22.5x + 0.10(275) <=140

Let x be the number of days Salma can afford to rent the car

Per day rent of the car = $22.5

Cost per mile = $0.10

Plan to drive = 275 miles

Budget with Salma = $140

Equation:

22.5x + 0.10(275) <= 140

Solving the equation we get x <= 5

So, Salma can rent the car for at most 5 days while driving 275 miles

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