A) x = 7
B) x = 11
C) 3x+28 - 5x+52 + 2x-10 = 360x = 15
D) x = 20

Answer:

Step-by-step explanation: (a)

(c)Maximum number of hours Lia can work at the restaurant and still meet her earnings goal = 15 hours

(d)Maximum Earning = $160

Step-by-step explanation:

Let r be the number of hours worked at the restaurant.

Let y be the number of hours of yard work,

Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour.

Since she does yard work,

Lia’s parents allow her to work a maximum of 15 hours per week overall.

Lia’s goal is to earn at least $120 per week.

The restaurant, r pays $8 per hour

Yard work, y pays $12 per hour.

Therefore:

The system of inequalities that represent this problem is therefore:

(b)The graph of the inequality is attached below

(c)When the graph is plotted, the vertices of the feasible region are:

(5,10)

(5, 6.7)

(15,0)

Where the first term is for the number of hours worked in the restaurant.

The maximum value of r possible is 15 from the three points.

Therefore, she can work at the restaurant for 15 hours and still meet her earning goal.

(d)Maximum Amount Lia can earn in 1 Week

At (5,10), Earning=(5X8)+(10X12)=40+120=$160

At (5, 6.7), Earning=(5X8)+(6.7X12)=40+80.4=$120.4

At (15,0) Earning=(15X8)+(0X12)=$120

Since she has to work at least 5 hours at the restaurant, the maximum amount possible is $160.

Answer:

$980

Step-by-step explanation:

33 1/3%           x

------------ = -------------                  Cross multiply

100%         $2,940

33 1/3 x 2,940 = 100x               Multiply

98000 = 100x                           Divide 100 to both sides

980 = x

If a simple random sample of 31 observations was taken from a large population. The sample mean equals 5 then the five is a point estimate

Total number of population = 31 observations

Sample mean of the population = 5

Sample mean is the average value of the sample that is selected from a large population of data.

The point estimate is defined as the single value estimate of the parameter. Point estimate is usually use when we have to choose single value from a larger population, that should be the best estimate to represents the parameter.

Here the sample mean of population is 5

Therefore, five is a point estimate

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On average, Logan drinks (2)/(3) of a 6-ounce glass of water in 1(4)/(5) hours. How much water does he drink, in glasses per hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.

The following response has been constructed in a straightforward, step-by-step approach.

Measure: 1 ounce

2/3×6 =4 glass

Considering that a person consumes four glasses every hour.

he Drinks x glasses after one hour.

Reason: Since 21/5x=4,

21x=5×4

Glass 21x=20x=20/21

Answer: So, consume 20/21 glasses in an hour.

The response is a correct fraction.

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8) A system of two equations that could be used to find out the price of package A and package B are;

C = 150 + 55h

C = 210 + 40h

9) The number of nights  Kareem would need to stay in a hotel to pay the same amount for either vacation package is; 4 nights

We are told that Kareem is going to Florida and the cost for two different vacation packages is;

Package A

Roundtrip Airfare Cost = $150

Hotel Cost (per night) = $55

Package B;

Roundtrip Airfare Cost = $210

Hotel Cost (per night) = $40

A) Now, if  h represents Hotel Cost and C represents Cost of package, then we have;

For package A;

C = 150 + 55h   ------(1)

For package B;

C = 210 + 40h    ------(2)

9) The number of nights  Kareem would need to stay in a hotel to pay the same amount for either vacation package is;

150 + 55h = 210 + 40h

210 - 150 = 55h - 40h

60 = 15h

h = 60/15

h = 4

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The equation of the straight line having gradient -7/6 with the point on the line as (3,-1) is y [tex]=[/tex] (-7/6)x [tex]+[/tex] 5/2  .

In the question ,

it is given that

the gradient (slope) of the required line is -7/6 ,

and the coordinate of point on the line is (3 , -1) .

We know that the equation of the line passing through the points (x₁ , y₁) with gradient(m) is given by the formula

(y - y₁) = m(x - x₁)

So , the equation of the straight line will be written as

(y -(-1)) = (-7/6)(x - 3)

y + 1 = (-7/6)(x - 3)

y + 1 = (-7/6)x + 7/2

y = (-7/6)x + 7/2 -1

y = (-7/6)x + 7/2 - 2/2

y = (-7/6)x + 5/2

Therefore , the equation of the straight line is y [tex]=[/tex] (-7/6)x + 5/2 .

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Answer:

$2.5

Step-by-step explanation:

15 divided by 6 because its asking to split into groups equally

Answer:2.5

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

m = slope

Use two points on the graph to find  m

    m = ( x1-x2)/(y1-y2)  = ( 1- -1) / ( -4 - -2) =  2 / -2 = -1

Perpindicular slope is   - 1/m   =   -1 / (-1) = 1

Answer:

33.333...% over the base 100% (100% is representing the $5.40)

Step-by-step explanation:

she gets $7.20 from selling the 18 chocolate bars

7.20 divided by 5.40 is 1.3333...

the 1 in 1.3333... represents the base 5.40 and the 0.3333... represents the profit

Answer:

x is equal to 2

Step-by-step explanation:

simplify the equation

distribute the 0.3

0.3*4-0.3x=x-1.4

1.2-0.3x=x-1.4

get x by itself on one side

1.2+1.4=x+0.3x

simplify

2.6=1.3x

2=x

Answer:

(-3,-4,-2)

Step-by-step explanation:

You are given the y-values and want to find the x-values.

1 = 2x +7

-6 = 2x

-3 = x

-1 = 2x +7

-8 = 2x

-4 = x

3 = 2x +7

-4 = 2x

-2 = x

Answer:

3.54

Step-by-step explanation:

Answer:

249.40

Step-by-step explanation:

How to calculate amount of work?

According to this question, Jaida worked 21 ½ hours last week and earned $11.60 per hour of work.

If Jaida earned $11.60 per hour, this means that Jaida earned 21.5 × 11.6 = $249.4.

Therefore, If Jaida worked 21½ hours last week and earned $11.60 per hour of work. The amount of money Jaida earned last week is $249.4.

Answer:

12

Step-by-step explanation:

1) Substitute x into the equation

To substitute you would need to multiply the number before it by 2 (in other questions it would be the value told that is x)

2) Put the numbers you have worked out into the equation

-6 + 1.5 + 5 - 4.5 + 16

3) Work out the final equation

Hope this helps, have a great day!

(a) The function "f" is increasing for the x-values of [(-∞) < x ≤ 0] and            [2 < x < ∞], while "f" is decreasing for the x-values of [0 < x ≤ 2].

(b) The function f(x) is greater than 0 at [(-1) < x < ∞], excluding the point  (x = 2)

(c) The function f(x) is less than 0 when [x < (-1)]

In the reference attachment attached along with the question statement, we are provided with a graph of a certain function "f",

And as per the question statement, we are required to determine the x-values for the following:

(a) for which "f" is increasing or decreasing,

(b) [f(x) > 0]

(c) [f(x) < 0]

From the graph, it is very clear that, the slope is rising from [(-∞) < x ≤ 0] and [2 < x < ∞], while, declining from [0 < x ≤ 2] of the x-axis. Therefore,

(a) The function "f" is increasing for the x-values of [(-∞) < x ≤ 0] and            [2 < x < ∞], while "f" is decreasing for the x-values of [0 < x ≤ 2].

(b) The function f(x) is greater than 0 at [(-1) < x < ∞], excluding the point  (x = 2)

(c) The function f(x) is less than 0 when [x < (-1)]

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Answer:

d = 4

Step-by-step explanation:

Because the slope formula is:

y2-y1 / x2-x1 = m

10-d / 10+6 = 3/8

Cross multiply 10+6 and 3/8

10-d = 16(3/8)

10-d = 6

10-6=d

4=d

Edit:

The standard form would be:

3y = 20 - 4x

or

3y = -4x + 20

Answer/Step-by-step explanation:

Standard form of the equation should be in the form:

Ax + By = C

A, B and C must be whole numbers not fractions or decimals. B and C can be negative, but A must be positive.

Correctly written in standard form, this equation just needs one small tweak, multiply the whole thing by -1 to change all the signs so that the A will be positive.

-4x + 3y = 20

-1(-4x + 3y = 20)



4x - 3y = -20 this is proper standard form.

Answer:

4

Step-by-step explanation:

1

If a math test is worth 100 points and has 30 problems and  each problem is worth either 3 or 4 points, then there are 10 4 point problems

Total number of questions = 30

Number of 3 point questions = x

Number of 4 point questions = y

The first equation will be

x + y = 30

x = 30-y

Total score of the test = 100 points

Then the second equation will be

3x + 4y = 100

Here we have to use the substitution method, substitute the value of x in the equation

3(30-y) + 4y = 100

90 - 3y +4y = 100

y = 100 - 90

y  = 10

Hence, if a math test is worth 100 points and has 30 problems and  each problem is worth either 3 or 4 points, then there are 10 4 point problems

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6 is the answer.

Explanation- You have to plug in, multiply, and divide using p1q1=p2q2 formula

Answer:

Horizontal: y=-8

Vertical: x=-3

Step-by-step explanation:

Answer:

x = - 3 and y = - 8

Step-by-step explanation:

the equation of a vertical line parallel to the y- axis is

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (- 3, - 8 ) with x- coordinate - 3 , then

x = - 3 ← equation of vertical line

the equation of a horizontal line parallel to the x- axis is

y = c ( c is the value of the y- coordinates the line passes through )

the line passes through (- 3, - 8 ) with y- coordinate - 8 , then

y = - 8 ← equation of horizontal line

When distance is halved, force increases by 4 times.

What is gravitational force?

Each body in the universe attracts other bodies towards itself with a force known as Gravitational Force

According to Newton’s law of gravitation, “Every particle in universe attracts every other particle with a force whose magnitude is,

On combining these equations, we get

F = G × [M1M2]/r²

F ∝ M1M2/r²

Now , r' = r/2 ( given)

so, F' ∝ (m1m2) / (r/2)²

F' ∝(4 m1m2) / r²

Thus F' = 4×F

So, we can conclude that, when distance is halved, force increases by 4 times.

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Answer:

$91.92

Step-by-step explanation:

1/2 lb of shrimp is 11.49 how much for 4lb?

1/2 pounds = 0.5 pounds

4lb/0.5lb = 8

11.49 * 8 = $91.92

The value of  [tex]n ^ {mn}[/tex] = [tex]5^{10}[/tex]  or 9765625.

An index is a number that is raised to power. It is written as a small number to the right and above the base number. Other names for the index are exponent or power.

The index of a number says how many times to use the number in multiplication.

[tex]m^n[/tex]=32

m and n are positive integers.

32 = 2 x 2 x 2 x 2 x 2

32 = [tex]2^5[/tex]

hence, m = 2 and n = 5.

Now, Let's find the value of [tex](n ^ m)^n[/tex].

[tex](n ^ m)^n = n^{m*n}[/tex]

          = [tex]5^{2*5}[/tex]

          = [tex]5^{10}[/tex]     or

          = 9765625

Hence, the value of  [tex]n ^ {mn}[/tex] = [tex]5^{10}[/tex]  or 9765625.

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A timestamp is a signal that lets us know when the pertinent text was spoken and at what time. They are displayed in the format [HH:MM:SS], where HH stands for hours, MM for minutes, and SS for seconds.

There are various types of timestamps, as follows:-

1.  Periodic timestamps: These timestamps are repeated frequently. They can show up every 15 or 30 seconds, or once or twice every minute.

2.  Timestamps for paragraphs

3. Timestamps of sentences

4.  Timestamps for speakers

When transcribing audio recordings, the following time-stamping format is used:

[00:00:00]

in which [hour: minute: second]

Therefore, [00:05:00] is the fifth minute.

If an audio file has five to fifteen minute segment, needs to be transcribed, stamping should begin at [00:05:00].

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The  equation of the regression line is  [tex]\bar{y}[/tex]=9.1006+(-0.2157)x and the point prediction of ammonium concentration for 25ml/h is  [tex]\bar{y}[/tex]=3.7081

A regression line is an approximation of the line that describes the true, but unknown, linear connection between two variables. The regression line equation is used to predict (or estimate) the value of the response variable from a given value of the explanatory variable.

In statistical modeling, regression analysis is a collection of statistical techniques for estimating the associations between a dependent variable and one or more independent variables.

a) [tex]\bar{y}[/tex]=β₀+β₁x

Where,

β₁=[tex]S_{xy}[/tex]/[tex]S_{xx}[/tex] -------(1)

Where,

[tex]S_{xy}[/tex]= -341.959231

[tex]S_{xx}[/tex]1585.230769

By substituting these values in equation 1 we get,

β₁= -0.2157

β₀= [tex]\bar{y}[/tex]-β₁x

Where,

[tex]\bar{y}[/tex]=∑[tex]y_{i}[/tex]/n

∑[tex]y_{i}[/tex]=52.8

n=13

Then,

[tex]\bar{y}[/tex]=4.0615

[tex]\bar{x}[/tex]=∑[tex]x_{i}[/tex]/n

∑[tex]x_{i}[/tex]=303.7

n=13

[tex]\bar{x}[/tex]=23.3615

β₀=4.0615-(-0.2157)(23.3615)

=9.1006

Therefore, β₀=9.1006

The regression equation is  [tex]\bar{y}[/tex]=9.1006+(-0.2157)x

If x=25,

[tex]\bar{y}[/tex]=9.1006+(-0.2157)(25)

[tex]\bar{y}[/tex]=3.7081

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From the given statements the valid statement is, If I buy cookies, then I bake a cake.

What is valid statement?

Valid: An argument is only considered to be valid if all of the premises must be true in order for the conclusion to be true. It is also impossible for all of the premises to be true while the conclusion is false.

Consider, the given statements

If I bake a cake, then I won't buy cookies.

If I don't buy cookies, then I don't need milk.

Since an argument is valid if and only if it is necessary that if all of the premises are true, then the conclusion is true.

Here, the premises are true, so the valid argument is,  If I buy cookies, then I bake a cake.

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The slope of the points (15,-6) and (-4,11) is  0.895.

The slope of a line is the ratio of the amount that y increases as x increases some amount.

To calculate the slope of the two points given, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the slope of the points is 0.895.

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