Convert the mixed numbers to improper fractions.

Answer:

a)=57

b)=26

C)= 35

Step-by-step explanation:

there is 100 people recorded when they only wanted 65 so the 35 extra answers are not recorded.

Answer:

get a job....

Answer:

≈ 11.4 m

Step-by-step explanation:

The diagonal splits the rectangle into 2 right triangles , with legs 7 and 9 and the diagonal the hypotenuse.

Using Pythagoras' identity with h as the diagonal, then

h² = 7² + 9² = 49 + 81 = 130 ( take the square root of both sides )

h = [tex]\sqrt{130}[/tex] ≈ 11.4 m ( to the nearest tenth )

The minimal number of employees who did not get their preferred shift that week was 20.

Out of 50, 40% are on the day shift = 0.4*50 = 20 & 60% are on the night shift = 30.

But, 80% of 50 prefer day shift = 0.8*50 = 20 & 20% of 50 prefer night shift = 10.

We need to find the minimum no. of people who did not get their desired shift. Since slots for the night shift(30) are greater than the people who desired it (10). We can assume that among those 30-night shift slots, 10 were occupied by the ones who wanted the night shift. So, whoever wanted the night shift got the night shift.

But, for the day shifts the no. of slots (20) is less than the number of people who desired it (40). So, there are going to be 20 people who did not get what they desired.

Thus, 20  is the minimum number of staff members who failed to receive her preference of shift that week.

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During the winter, the grill was marked at $85. In June, the price was changed to $110. 50. So, 23.08% is the change in percentage.

When the denominator is 100, percentages are really just fractions. We place the percent sign (%) next to the number to indicate that the number is a percentage.

Comparing two amounts while re basing the second amount to 100 is the simplest way to use percentages. The word percentage comes from the Latin term per centum, which means "by the hundred." In the 16th century, the Latin term made its way into English. It was later abbreviated to %.

Given that,

the grill was marked at $85

the price was changed to $110. 50.

Now, percentage change:

= [{(110. 50 - 85)/110.50} × 100]

= (0.2308 × 100)

= 23.08%

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The domain of the given function would be x > 0.

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The function f(x) = log is the natural logarithm function, also known as ln(x). The domain of this function is the set of all positive real numbers x such that x > 0, because the natural logarithm of a non-positive number is undefined.

Hence, the domain of the given function would be x > 0.

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The domain of the given function would be x > 0.

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The function f(x) = log is the natural logarithm function, also known as ln(x). The domain of this function is the set of all positive real numbers x such that x > 0, because the natural logarithm of a non-positive number is undefined.

Hence, the domain of the given function would be x > 0.

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Answer: [tex]6.04\ ft[/tex]

Step-by-step explanation:

Given

The fence has a length of 38 ft i.e. it is the circumference of the circular flower

The circumference of the circle is [tex]2\pi r[/tex]

Insert the values

[tex]\Rightarrow 2\pir=38\\\\\Rightarrow 2\times \dfrac{22}{7}\times r=38\\\\\Rightarrow r=\dfrac{38\times 7}{2\times 22}\\\\\Rightarrow r=\dfrac{266}{44}\\\\\Rightarrow r=6.04\ ft[/tex]

The largest radius of the garden is  [tex]6.04\ ft[/tex]

Answer:

$7.50 if the question is how much in a kilogram of strawberries you did not specify.

Step-by-step explanation:

24.75-6=2.5*x

18.75=2.5*x

7.5=x

Answer:

7.5 for 1 kg of strawberries

Step-by-step explanation:

I'm not sure what to solve, but I assumed that you wanted to know the unit price.

Answer:interquartile range IQR

Step-by-step explanation:ApE x

Answer:

ANSWER IS IQR

Step-by-step explanation:

DID THE TEST

Answer:

23

Step-by-step explanation:

7(x+1) = 8(x-2)

7x+7 = 8x-16

x = 23

The process of simplify the equation is explained below.

The term equation is known as a mathematical statement that defines the equality between two expressions.

Here we have to define the process of simplifying the equation.

The first and foremost step is to remove parentheses and brackets by multiplying factors.

And then we have to use the exponent rule to remove grouping if the terms contain exponents.

Then we have to combine like terms by adding or subtracting coefficients.

Finally, we have to Combine the constants.

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Answer: domain(-oo,oo). range= f(x) >-5

Step-by-step explanation:

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

to get the equation of any straight line, we simply need two points off of it, let's use (-6,10), (-4,18)

[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{18}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{18}-\stackrel{y1}{10}}}{\underset{\textit{\large run}} {\underset{x_2}{-4}-\underset{x_1}{(-6)}}} \implies \cfrac{8}{-4 +6} \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}{10}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-6)}) \implies {\large \begin{array}{llll} y -10 = 4 ( x +6) \end{array}} \\\\\\ y-10=4x+24\implies -4x+y=34\implies \stackrel{standard~form}{{\Large \begin{array}{llll} 4x-y=-34 \end{array}}}[/tex]

Answer:

when the ratio of the first measurment is already there, get the pot, put it in place and chec the correct ratio, the slope should help the gaurdian. so in that case, the answer is 75inch

The numbers of milligrams of the vitamin that are in a drink is 60 milligrams.

The recommended daily allowance (RDA) for the vitamin is 40 mg. A new health drink has 150% of the RDA.

To find out how many milligrams of the vitamin are in a drink, you can use the following formula:

(RDA) x (percentage/100) = milligrams in a drink

So,

(40mg) x (150/100)

= 60mg

Therefore, there are 60 milligrams of the vitamin in a drink.

Note that the RDA of vitamins can vary depending on age, gender, and other factors, so always consult a doctor or nutritionist before starting to consume any new supplement.

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The candies left for Kyla were 10 based on the amount given to her sister and friend from total 20 candies.

Firstly we will calculate the remaining candies from twenty after giving to her sister. Next calculation will be the final answer representing candies left for Kyla herself.

Remaining candies = total number of candies - 1/5×total candies

Keep the values in formula

Remaining candies = 20 - 1/5×20

Remaining candies = 20 - 4

Remaining candies = 16

Total candies for Kyla = remaining candies - 3/8×remaining candies

Candies for Kyla = 16 - 3/8×16

Candies for Kyla = 16 - 3×2

Candies for Kyla = 16 - 6

Candies for Kyla = 10

Thus, Kyla received 10 candies.

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Answer:

6n-5

Step-by-step explanation:

let 'n' equal 'a number'

the equation above means you are multiplying 6 and that number, then reducing it by 5

Step-by-step explanation:

=(1+ sin^2 A/cos^2 A).cos^2 A

=[(cos^2 a+sin^2 a)/cos^2 a].cos^2 A

=[1/cos^2 a] . cos^2 a

=1

Answer:

t = 5, 6

Step-by-step explanation:

Given the equation:

[tex]\displaystyle{11t-t^2=30}[/tex]

First, arrange the expression in the standard quadratic form ax² + bx + c = 0

[tex]\displaystyle{t^2-11t+30=0}[/tex]

Then factor the expression, find two numbers that add up which result in -11  and multiply which result in 30 - that two numbers are -6 and -5

[tex]\displaystyle{(t-6)(t-5)=0}[/tex]

Solve like a linear equation

[tex]\displaystyle{t=5,6}[/tex]

Therefore, the solutions to the equation are t = 5, 6

Answer:

The solution set is {5, 6}.

Step-by-step explanation:

11t-t^2=30

t^2 - 11t + 30 = 0

(t - 5)(t - 6) = 0

t = 5, 6.

The solution of equation is ∅.

According to the mathematical definition of inequality, neither side is equal. When a relationship leads to a non-equal comparison between two expressions or numbers, it is known as an inequality in mathematics. The equal sign "=" in this statement can be replaced with any of the inequality symbols.

Given equation |x| + 7 < 4

subtract 7 from both sides

|x| + 7 - 7 < 4 - 7

|x| < -3

but |x| ≥ 0, for all real values,

so solution is ∅.

Hence the solution of equation is ∅.

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Answer:

c) 4750

Step-by-step explanation:

Take a calculator and divide it or long division. You get 950.

Answer:

c) 4750

Step-by-step explanation:

c) 4750 is the answer of your question .

hope it is helpful to you

Answer:

-5(x-21)(x-3)

Step-by-step explanation:

-5[tex]x^{2}[/tex] + 120x - 315 = -5([tex]x^{2}[/tex] - 24x + 63)

                           = -5([tex]x^{2}[/tex] - 3x - 21x + 63)

                           = -5[x(x-3) - 21(x-3)]

                           = -5[(x-21)(x-3)]

Answer:

2) The estimated weight, in pounds, of the beaver on June 1.

Step-by-step explanation:

Given function:

[tex]w(t) = 29 + 0.0674t \quad t < 90[/tex]

where:

When t = 0:

[tex]\begin{aligned}\implies w(0)&=29+0.0674(0)\\&=29+0\\&=29\end{aligned}[/tex]

Therefore, the constant of the equation (29) is the estimated weight of the beaver, in pounds, when t = 0.

As t = 0 is June 1:

Answer:

n + q = 50

.05n + .25q = 7.10

Step-by-step explanation:

total of 50 coins .... are either nickles or quarters

n + q = 50

value of the coins is $7.10

The value of each coin times the quantity is the value

.05n + .25q = 7.10

An inequality involving absolute values that describes the range of possible thickness for the laminate.

(a) The range of possible thickness for the laminate is given by the tolerance of 0.004 in., so we can write an inequality involving absolute values as:

|h - 0.016| <= 0.004

(b) To solve the inequality, we need to consider two cases:

Case 1: h - 0.016 <= 0.004

             h <= 0.02

Case 2: h - 0.016 >= -0.004

             h >= 0.012

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Answer:

V = 200 π

Step-by-step explanation:

x = 5√y ,   x = 0 ,   y = 4

Determine the volume of the solid V

when x = 0  y = 0

we can calculate the volume of the solid by applying the washer method

V = π ₀⁴∫ [ 0 + ( 5√y )^2 ]  dy

   = π ₀⁴∫ [ 0 + ( 25(y) ) ]  dy

V  = π [ 0 + 25/2 ( y^2 ) ] ⁴₀

V = π [ 25/2 ( 16 ) ]

  = 200 π