1 8/9 divided by 1/3

44 is the proportion of the botched dressing will be olive oil.

Given, Miguel is mixing up a salad dressing. regardless of the number of servings,

the recipe requires that 58 of the finished dressing mix be olive oil, 14 vinegar, and the remainder an even mixture of salt, pepper and sugar. if he accidentally doubles the vinegar and forgets the sugar altogether,

we have to find the proportion of the botched dressing that will be olive oil.

first we will find the amount of the even mixture of salt, pepper and sugar.

as, olive oil + vinegar + even mixture of salt, pepper and sugar = 100

58 + 14 + mixture of salt, pepper and sugar = 100

mixture of salt, pepper and sugar = 100 - 72

mixture of salt, pepper and sugar = 28

if he mixed doubles of the vinegar i.e. 28 then olive oil be,

x + 28 + 28 = 100

x = 100 - 56

x = 44

Hence, 44 is the proportion of the botched dressing will be olive oil.

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Answer:

x + .35X - .11(x - .35x)

Step-by-step explanation:

Let x = the original price of the stock.

x + .35x  This is first year

-.11( x + .35x) is the second year

x + .35X - .11(x - .35x)

The conclusion is that the angle which measures 120° is not Acute angle.

The construction of an angle is a type of geometric shape made by connecting two rays at their termini. Three letters that make up the form of the angle can alternatively be used to symbolise the angle, with the middle letter indicating the location of the angle (i.e.its vertex). Greek characters such θ, α, β, etc. are frequently used to denote angles.

In geometry, there are mainly six different kinds of angles. All angles have the following names and characteristics:

Angle B measures 120°.

Here the angle is more than 90° so the angle is not acute.

The conclusion is that the angle which measures 120° is not Acute angle.

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Answer:

170 is the smallest

745 is the largest

Step-by-step explanation:

It is what it is

Answer: Tiffany

Step-by-step explanation: Ramon Ratio 8:2 can be reduced to 1 cup of sugar every 4 cups of water. Tiffany Ration is 9:3 which is reduced to 1 cup of sugar every 3 cups of water.

A Type I error in this scenario would mean that Miley would conclude that the noise impacts the students when in fact it doesn't.

The definitions of Type I errors and Type II errors are presented as follows:

The hypotheses tested in this problem are given as follows:

A Type I error would mean that she rejected a true null hypothesis, meaning that Miley would conclude that the noise impacts the students when in fact it doesn't.

(rejected null hypothesis means that there is enough evidence to conclude that there are differences).

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The interest earned in 5 years is $1096.

Interest is the fee a business pays a lender (creditor) to borrow money.

Given that, Brendan deposited $3,967 in an account earning 5% interest compounded annually.

A = P(1+r/100)ⁿ

n = 5, r = 5% = 0.05, P = 3967 and a = amount earned

A = 3967(1+0.05)⁵

A = 3967(1.05)⁵

A = 5063

Interest earned = amount - principal

Interest = 5063-3967

Interest = $1096

Hence, Brendan earned $1096 as interest.

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Answer:

$1096.01

Step-by-step explanation:

In the graph showing fuel consumption for a car during a test run the correct statement is

The information given in the problem will help to find the equation of the graph in the form

y = mx + c

definition of variable to suit the problem

y = output variable = number of gallons

m = slope

x = input variable = number of miles

c = y intercept

The slope

= (3.5 - 0) / (73.5 - 0)

= 0.05

the y intercept is 0

the equation of the line is y = 0.05x

Only option the last option fits the equation as shown

number of gallons = 0.05 * number of miles

= 0.05 * 84 miles

= 4.2 gallons

= 4 gallons

hence the last option is the correct choice

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The average rate of change of the function at the interval 0 ≤ x ≤ 4 is 11.25

From the question, we have the following parameters that can be used in our computation:

x  0   1   2   3  4   5

y 3   6  12   24 48 96

The interval is given as

0 ≤ x ≤ 4

On the table, we have

x = 0 and y = 3

x = 4 and y = 48

This means that

f(0) = 3 and f(4) = 48

The average rate of change is then calculated as

Average rate of change = [f(4) - f(0)]/[4 - 0]

Substitute the known values in the above equation, so, we have the following representation

Average rate of change = [48 - 3]/[4 - 0]

Evaluate

Average rate of change = 11.25

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The picture has the dimension of a rectangle and will have the area of 66.166 in square feet.

We have to convert the length and width to be in same unit, before calculating for the area by multiplying the length by the width, and then convert the result to be in square feet.

1 cm = 0.394 inches

126 cm = 126 × 0.394 inches

126 cm = 49.644 inches

So the picture has length 16 inches and width 49.644 inches

area of picture = 16 inches × 49.644 inches

area of picture = 794.304 square inches

1 inch = 0.0833 feet

794.304 square inches = 794.304 × 0.0833 square feet

794.304 square inches = 66.166 square feet.

In conclusion, the picture has an area of 66.166 square feet.

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The probability is [tex]\frac{2}{5}[/tex] ,that there is at least one diameter of the circle with two adults sitting on opposite ends of the diameter.

What is probability ?

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Have given,

Five adults and five children,

Total seats are available 10

P(an adults apposite of a children) = [tex]\frac{2}{10}[/tex]

P(a children apposite of a children) = [tex]\frac{2}{5}[/tex]

We know that ,

P(True) = 1 - P(Not True)

P(True) = [tex]1 - (\frac{2}{10} + \frac{2}{5} )[/tex]

P(True) =  [tex]\frac{2}{5}[/tex]

The probability is [tex]\frac{2}{5}[/tex] ,that there is at least one diameter of the circle with two adults sitting on opposite ends of the diameter.

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y = 7²,y + (1/2)x = 9 and 2.3 = y - 5.8x are the linear function thus option (A),(D) and (F) are correct.

A straight line on the coordinate plane is represented by a linear function.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

A linear function is a line in a coordinate plane with a constant slope and can be written in form of y = mx + c.

Thus the degree of x and y will be 1.

For example, y = 7² can be written as, y = 0(x) + 7² so it will be a linear line.

Another y + (1/2)x = 9 and  2.3 = y - 5.8x are can be written as y = mx + c so they will be linear functions.

Hence "the functions y = 7²,y + (1/2)x = 9 and 2.3 = y - 5.8x are the linear function".

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Answer:

Step-by-step explanation:

it is c

Answer:

Solve the equation for [tex]{y}[/tex].

[tex]y=\frac{5x}{2}[/tex]

Choose any value for [tex]{x}[/tex] that is in the domain to plug into the equation.

Choose [tex]{0}[/tex] to substitute in for [tex]{x}[/tex] to find the ordered pair.

[tex]{(0,0)}[/tex]

Choose [tex]{1}[/tex] to substitute in for [tex]{x}[/tex] to find the ordered pair.

[tex](1,\frac{5}{2})[/tex]

Choose [tex]{2}[/tex] to substitute in for [tex]{x}[/tex] to find the ordered pair.

[tex]{(2,5)}[/tex]

These are three possible solutions to the equation.

[tex]{(0,0),}[/tex] [tex](1,\frac{5}{2} )[/tex], [tex]{(2,5)}[/tex]

Answer:

garden=400/2

=200

4× side = perimeter=200

So,  =200/4

=50 m.

Step-by-step explanation:

Answer:

Length of garden is 50 m.

Step-by-step explanation:

Fence required for 1 time,

→ 400 ÷ 2

→ 200 m

Perimeter of square formula is,

→ P = 4 × L

Now length of the garden will be,

→ P = 4 × L

→ 200 = 4L

→ 4L = 200

→ L = 200/4

→ [ L = 50 m ]

Hence, length of garden is 50 m.

The operations between functions are:

a) h(f(3)) = 5

b) (f×g)(4) = -8

c) f(  g(h(0))) -1

The first thing we want to find is a composition, we want to find:

h(f(3))

That means that we need to evaluate h(x) in f(3), look at the graph and you can see that f(3) = -4

Replacing that we get:

h(f(3)) = h(-4)

And on the graph, we can see that h(-4) = 5

then h(f(3)) = 5

b) Now we have the product:

(f×g)(4) = f(4)*g(4)

Again, looking at the graph:

f(4) = -4

g(4) = 2

Then:

(f×g)(4) = f(4)*f(4)

(f×g)(4) = -4*2

(f×g)(4) = -8

c) Finally we have other composition:

f(  g(h(0)))

So we have 2 compositions, first we find:

h(0) = 5

f(  g(h(0))) = f(g(5))

Then:

g(5) = 0

f(  g(5)) = f(0)

Finally, look at the graph and you can see that f(0) = -1

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Using Pythagoras theorem, the length of the ladder is 11 feet

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle xyz, in which we have x² = y² +z²​​. Here, y is the base, z is the altitude (height), and x is the hypotenuse. It is to be noted that the hypotenuse is the longest side of a right-angled triangle.

Data;

Using Pythagoras theorem;

x = 5² + 10²

x = 25 + 100

x = 125

x = √25

x = 11ft

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Answer: D. Zero is not a rational number

Step-by-step explanation:

[tex]0=\frac{0}{1}[/tex]. Thus, by definition, zero is rational.

The average speed for the entire duration of trip is 52 mph.

The total distance traveled by an object in a given time frame is defined as its average speed. It is computed by dividing the entire distance traveled by the total amount of time spent.

Given,

S1 = 65 mph , T1 = 2.2 hours

S2= 0 mph (during lunch break) , T2 = 45 min = 45 / 60 hour

                                                                              =0.75 hour

S3= 55mph , T3 = 3.8 hours

Therefore, S avg =(S1T1 + S2T2 + S3T3)/(T1 + T2 + T3)

                          =(65×2.2 + 0 ×0.75 + 55×3.8)/(2.2 + 0.75 + 3.8)

                          = 52.148 mph

The average speed for the entire duration of trip is 52 mph.

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Answer:

it's c trust me I had the same problem

0.563 $ is he paying per load of laundry

What is business mathematics?

Business mathematics is the branch of mathematics utilized by businesses to track and coordinate their operations. Accounting, inventory management, marketing, sales forecasting, and financial analysis are all areas where commercial businesses apply mathematics.

Simple arithmetic, elementary algebra, statistics, and probability are all frequently utilized in business. More complex arithmetic, such as calculus, matrix algebra, and linear programming, may be used to solve some management challenges.

According to question:

Total scoop contained in detergent box = 195 scoops.

Scoops used by each load of laundry = 11/2  scoops = 5.5 scoops

Number of laundry he can do with this box = 195/5.5

                                               = 35.45 laundries.

Price of detergent box = 19.99 $

Price he paying for each load = Total price/ Number of loads

                                                  = 19.99/35.45

                                                  = 0.5638928067700

                                                  = 0.563 $ (Approx)

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Answer: 2x+6xy+5y+11

Step-by-step explanation:

Answer:

$6.50

0.05x + 0.01y

Step-by-step explanation:

There are 100 pennies in a dollar. So each penny is 1/100 = $0.01

Each nickel is worth 5 pennies. So there are 20 nickels per dollar and therefore each nickel is worth 20/100 = $0.05

If you have 100 nickels, this works out to 0.05 x 100 = $5.00

If you have 150 pennies this works out to 0.01 x 150 = $1.50

Total value = 5 + 1.50 = $6.50

If you have x nickels and y pennies then that, inn dollar amount, would work out to

0.05x + 0.01y

The complete equation in the slope-intercept form is y = 4x-1.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

So, the equation is,

y - y₁ = m (x - x₁)

And the standard form of the slope-intercept form:

y = mx+b,

where m is the slope and b is the y-intercept.

From the question, we have

m = 4 and coordinates of b is (0, -1).

So, the equation is,

y + 1 = 4 (x - 0)

y +1 = 4x

y = 4x-1

Therefore, the equation is y = 4x-1.

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The inequality which can represent the above scenario is 3 ≤ p  

What is Inequality  ?

In mathematical expressions, inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. The symbols we will use in this instead of equals to are Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs.

≤ - less than or equal to

≥ - greater than or equal to

≠ - Not equal  

Main Body:

Given:  

On the day of the test, the teacher instructed the students to take out at least 3 pencils from their backpacks.

To find:

Determine which inequality represents this scenario.

Let us know about Inequality

In the given scenario,

The teacher asked the to take out at least 3 pencils from their backpacks. which the students can take out 3 pencils or 2 or 1 pencil (which is less than 3) but not greater than 3.  

Therefore,The inequality which can represent the above scenario is 3 ≤ p

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Using the provided points, Applying the substitution of the points in these system of linear equations. The equations which satisfies the points are the required answer. The answer is A) 3x+13y =14 and 6x+11y=-2

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

The set of two or more linear equations containing the same variables is known as a system of linear equations in mathematics. In this case, linear equations are first-order equations, where the maximum power of the variable is 1. One, two, or three variables may be present in a linear equation.

point = (-4,2)

for option A) 3*-4 +13*2 =14

14=14

and 6*-4 + 11*2 = -2

-2 = -2

For other options these equality doesn't holds.

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The significant figure by multiplying 101 with 52 is 5000.

Here given,

101 x 52

Round 101 to 100 and 52 to 50, then multiply together to get 5000.

Significant Figures: 1

Decimals: 0

The significant notation: 5e+3

Therefore the significant notation is 5000.

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