divide 210 between James and John in ratio 3:4​

Answer & Step-by-step explanation:

This question is just a matter of reading the graph correctly. The question is basically asking us how much each color (or the education level) is taking up in the whole bar. So, you just subtract where the color ends from where the color starts.

1997 age 65 or older

Bachelor's degree or higher: 100 - 75 = 25%

College/associate's degree: 75 - 54 = 21%

High school graduates: 54 - 21 = 33%

Less than a high school diploma: 21 - 0 = 21%

Total: 25+21+33+21 = 100%

2007 age 65 or older

Bachelor's degree or higher: 100 - 69 = 31%

College/associate's degree: 69 - 46 = 23%

High school graduates: 46 - 13 = 33%

Less than a high school diploma: 13 - 0 = 13%

Total: 31+23+33+13 = 100%

Hope this helps :)

Answer:

List Price: 1750

Sale Price: 1400

Step-by-step explanation:

If 20% = 350, we can just multiply it by 5 to get the list price.

Because:

= 20% / 100%

= 20 / 100

= 2 / 10

= 1 / 5

= 1 / 5 * 5 = 1

= 350 * 5 = 1750 (list price)

To get the sale price, we subtract 350 from 1750

1750 - 350 = 1400

1400 is 80% of full price, which is what it was purchased for.

y+6=-4/3x+16/3 is equation of the line that is perpendicular to the line below and passes through the point (4,-6)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find the slope of given line.

The line is passing through points (4, 0) and (0, -3)

m=-3-0/0-4

m=3/4

The slope of perpendicular lines is -1.

m.3/4=-1

m=-4/3

the equation of the line that is perpendicular to the line below and passes through the point (4,-6)

y-y₁=m(x-x₁)

y-(-6)=-4/3(x-4)

y+6=-4/3x+16/3

Hence, y+6=-4/3x+16/3 is the point slope form of line passing through (4,-6)

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The number of minutes required to screen-print a batch of shirts is,

y = 3x + 15

From the question, we have

each shirt takes 3 minutes to print.

In addition, there is an initial set-up time of 15 minutes.

number of minutes required to screen-print a batch of shirts,

y = 3x + 15

Addition:

Combining two or more things is what is meant by addition. The process of computing the sum of two or more numbers is known as adding in mathematics. It's a fundamental mathematical operation that's used all the time in real life. When handling money, determining our food budget, or calculating the passage of time, we frequently use addition. When dealing with larger numbers, however, we separate the numbers into columns according to their corresponding place values, such as ones, tens, hundreds, thousands, and so on. For straightforward addition problems, one-digit numbers can be added.

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[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-1)}}} \implies \cfrac{3 +5}{1 +1} \implies \cfrac{ 8 }{ 2 } \implies 4[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-1)}) \implies y +5 = 4 ( x +1) \\\\\\ y+5=4x+4\implies {\Large \begin{array}{llll} y=4x-1 \end{array}}[/tex]

Answer:

There are 3 terms

Step-by-step explanation:

Given expression,

→ 5x + y - 3x - 8 + 2

Let's simplify the expression,

→ 5x + y - 3x - 8 + 2

→ (5x - 3x) + y + (-8 + 2)

→ 2x + y - 6

The number of terms are,

→ 2x + y - 6

→ 3 terms (trinomial)

Hence, there are 3 terms.

The probability distribution of the number of customers that enter the store on a given day is described as follows:

Poisson with a mean of 70 customers.

In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:

Hence the mean is of:

8 + 16 + 18 + 28 = 70 customers.

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Part (a)

The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.

[tex]C(x)=500+1.25x[/tex]

Part (b)

The revenue is the number of slushies sold multiplied by the amount charged per slushie.

[tex]R(x)=3.50x[/tex]

In 3 hours and 45 minutes, at the speed of 300 km per hour, the distance covered by Tim is 1125 km.

In unit time, the distance covered by any object is called speed.

In mathematical term, Speed is express as S=D/T,

where S=speed, D=distance, T= time.

Given that,

The average speed of Tim = 300 km per hour,

And time of driving = 3 hours and 45 minuter = 3³/₄ hours

To find distance covered by Tim, use formula Distance = Speed×Time,

Distance = 300× 3³/₄

               = 300×15/4

               = 4500/4

               = 1125

The distance covered by Tim in 3 hours and 45 minutes is 1125 km,

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Second graph is correctly shows the solution set for the inequality x >n

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Converting 176 Pints will give 88 Quarts

A conversion factor is a number used to change one set of units to another, by multiplying or dividing

The pint (symbol: pt.) is a unit of volume or capacity. One liquid pint is equal to 473.176473 milliliters (≈ 473 ml).

The quart (abbreviation qt.) is an English unit of volume equal to a quarter gallon. It is divided into two pints or four cups.

To convert 176 Pints to the corresponding value in Quarts,

Multiply the quantity in Pints by 0.5 (conversion factor).

In this case we should multiply 176 Pints by 0.5 to get the equivalent result in Quarts:

176 Pints x 0.5 = 88 Quarts

Hence,176 Pints when converted is 88 Quarts.

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Answer:

How much Is Cameron receiving from each calendar?

Step-by-step explanation:

The speed of the boat in still water is 1miles per hour or 7miles per hour

Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

The formula for speed = Distance /time

For upstream movement ,the boat will move against the velocity of the current and in down stream the boat will move with the velocity of the current.

Therefore speed of the boat in downward movement is (S+3) and the speed of the boat during upward movement is (S-3)

The general formula for speed= d/t

(S+3)= 20/5=4

or

(S-3)= 20/5= 4

Therefore, the speed of the boat in still water is

S= 4-3=1mile/hour

or

S= 4+3= 7miles/hour

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Answer: -90

Step-by-step explanation:

Correct answer is not shown in the choices?

FOIL method:  9 + 6 - 63 - 42 = -90

Easy method:  (-18)(5) = -90

The expression that shows how many dollars Seth earned is 15m.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

Since Seth mowed his neighbor's lawn m times and earned 15 dollars each time.

The amount made will be:

= Cost for each mowing × Number of times

= 15 × m

= 15m

The expression is 15m.

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Answer:

15m

Step-by-step explanation:

Answer:

b: mean

c: mode

Step-by-step explanation:

I say mean for b because to find average of how many sodas they drink in a month

For c I say mode because they want to find the most common year and mode is where it chooses which year appears the most

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

Explanation:

Let's list the ways to roll a 6.

There are A = 5 items listed above.

Now let's list the ways to roll a sum of 7.

There are B = 6 items listed above.

Lastly, let's list the ways to roll a sum of 8.

There are C = 5 items listed above.

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

Summary so far:

We found there are

Therefore, we have A+B+C = 6+7+8 = 21 ways to roll either of those three sums. Each event is mutually exclusive.

This is out of 6*6 = 36 ways to roll two dice (whether we get those sums or not).

21/36 = (7*3)/(12*3) = 7/12 is the probability of getting any of those three sums mentioned.

7/12 = 0.5833 = 58.33% approximately

Answer:

If the two resistances or impedances in parallel are equal and of the same value, then the total or equivalent resistance, R T is equal to half the value of one resistor. That is equal to R/2 and for three equal resistors in parallel, R/3, etc.

According to the unitary method,

A) The time taken for Peter to finish the job alone is 4 hours, 48 minutes.

B) The time taken for Emily and Peter to finish the job together is 2 hours, 36 minutes.

Unitary method:

In math, unitary method refers the process of finding the value of a single unit, and based on this value.

Given,

Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.

Here we need to find the following:

A) The time take for Peter to finish the job alone

B) The time taken for Emily and Peter to finish the job together

Let us consider x be the time taken for Peter to finish the job alone.

So, based on the given question we can write it as,

=> 1/6 + 1/8 + 1/x = 1/2

=> (8 + 6)/48 + 1/x = 1/2

=> 14/48 + 1/x = 1/2

=> 7/24 + 1/x = 1/2

=> 1/x = 1/2 - 7/24

=> 1/x = 12 -7/24

=> 1/x = 5/24

=> x = 24/5

=> x = 4.8

So, the time taken for Peter to finish the job alone is 4 hours, 48 minutes.

Then the time taken for Emily and Peter to finish the job together is calculated as,

=> 5/24 + 1/6

=> 5 + 4/ 24

=> 9/24

=> 3/8

Therefore, the time taken for Emily and Peter to finish the job together 2 hours, 36 minutes.

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The recipe will be enough for Lucy and her friends to make smoothie.

From the information, they are making smoothie. This will be illustrated as:

1 1/3 cups of banana = 4/3 cups

1 1/2 cup of yoghurt = 3/2 cups

1 cup of strawberry.

3/4 cup of orange juice.

Based on the information, we've to find the total quantity of smoothie. This will be:

= 4/3 + 3/2 + 1 + 3/4

= 4 7/12

Therefore, the recipe will be enough for Lucy.

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Complete question

Lucy is making a smoothie by following the recipe below

Sunshine smoothie

1 1/3 cups banana

1/2 cup yogurt

1 cup strawberries

3/4 cup orange juice

Will this recipe make enough for Lucy and 3 friends to have 1 cup of smoothie? Explain.

Step-by-step explanation:

a. Plug in -2 for x and 9 for f(x)

[tex]9 = 2( - 2) {}^{2} - ( - 2) - 1[/tex]

[tex]9 = 8 + 2 - 1[/tex]

[tex]9 = 9[/tex]

Yes, the point is on the graph.

Plug in 2 for x and solve for y.

[tex]2(2) {}^{2} - 2 - 1 = 5[/tex]

The points on there is (2,5)

c. Plug in -1 for y, solve for x.

[tex] - 1 = 2 {x}^{2} - x - 1[/tex]

[tex]0 = 2 {x}^{2} - x[/tex]

[tex]0 = x(2x - 1)[/tex]

[tex]x = 0[/tex]

[tex]0 = 2x - 1[/tex]

[tex]x = \frac{1}{2} [/tex]

The points on the graph are (1/2,-1) and (0,-1)

d. The domain of any quadratic is all real numbers or (-oo, oo)

e.

[tex]2 {x}^{2} - x - 1 = 0[/tex]

[tex]2 {x}^{2} - 2x + x - 1 = 0[/tex]

[tex]2x(x - 1) + 1(x - 1) = 0[/tex]

[tex](2x + 1)(x - 1) = 0[/tex]

[tex]x = - \frac{1}{2} [/tex]

[tex]x = 1[/tex]

The x intercepts are -0.5,1

The y intercepts are -1

Answer:

20-29 songs

Step-by-step explanation:

Artists with 20-29 songs had the highest total number of people in the crowd.

The number of students in Mr Hassan's class is 33 and I assumed that each small square in the graph is 0.5 unit and that there are 10 small squares.

A bar chart displays information (data) by using rectangular bars of different heights.

A bar chart has a vertical axis with numbers on it, and a horizontal axis showing values of something that has been investigated.

from the graph, since each small square represent 0.5 unit, number of student that sored 1 mark = 3

number of student that scored 2 marks = 5

number of student that scored 4 marks = 2

number of student that scored 5 marks = 6

number of student that scored 8 marks = 12

number of student that scored 9 marks = 1

number of student that scored 4 marks = 4

Total number of students = 3 + 5+ 2+ 6 + 12 + 1 + 4 which is 33.

I assumed each small square to be 0.5

In conclusion the total number of student is 33

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Answer:

-1,2

Step-by-step explanation:

I know this because to find the zeros of a function we look at when y is zero

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The inequality in standard form that describes the situation is 24x + 7y ≥ 31

Total number of required serving of dessert = 31

Number of serving he will get in every batch of brownies = 24 servings

Number of serving he will get in every batch of pie = 7 serving

Consider the number batch of brownies = x

Number of batch of pie = y

The inequality is the mathematical statement that shows the relationship between two expression with an inequality sign. The inequality will be less than, less than or equal, greater than, greater than or equal.

Then the inequality will be

24x + 7y ≥ 31

Hence, the inequality in standard form that describes the situation is 24x + 7y ≥ 31

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Step-by-step explanation:

Simplify the following expression by combining like terms: 8y + 9y - 9 + 4y

8y + 9y - 9 + 4y

21y - 9

Answer:

9

Step-by-step explanation:

mean is the same as average

To find the mean we add them all and divide by the amount of terms which in this case is 4

14+7+10+5

21+15

36

36/4

9

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