Solve for x.
72x-6-1,154
round to three places


Helppp

Answer: Heather served 15 orders, Kareem served 20 orders, and Chris served 30 orders.

Step-by-step explanation: Let H be the number of orders that Heather served, K be the number of orders that Kareem served, and C be the number of orders that Chris served.

We are given that C = 2*H and K = H + 5.

We are also given that H + K + C = 81.

Substituting the expressions for C and K into the equation, we get:

H + (H + 5) + (2*H) = 81

5*H + 5 = 81

5*H = 76

H = 15

Since Heather served 15 orders, Kareem served 15 + 5 = 20 orders and Chris served 2*15 = 30 orders.

Therefore, Heather served 15 orders, Kareem served 20 orders, and Chris served 30 orders.

Answer:

4

Step-by-step explanation:

√64 = 8

√4 = 2

8/2 = 4

Answer:4

Step-by-step explanation:

[tex]\sqrt{64[/tex] = 8

[tex]\sqrt{4[/tex]  = 2

8÷2=4

The function h(x) = (f.g)(x) would be x² + 10x + 24.

What are composite functions?

A composite function is generally a function that is written inside another function. The composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”.

To find h(x) = (f.g)(x), we need to find the composition of the functions f(x) and g(x).

The composition of two functions f(x) and g(x) is denoted by (f.g)(x) and is defined as (f.g)(x) = f(g(x)).

In this case, we have:

h(x) = (f.g)(x) = f(g(x)) = f(x + 5)

Substituting x + 5 for g(x) in the equation for f(x), we get:

h(x) = (f.g)(x) = f(x + 5) = (x + 5)² - 1

Simplifying this expression, we get:

h(x) = (f.g)(x) = x² + 10x + 24

Hence, the function h(x) = (f.g)(x) would be x² + 10x + 24.

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The area of the composite shape is 292.96 in² and the perimeter of the composite shape is 65.12 inches

The quantity of surface contained within a semicircle's perimeter is known to as its area.

The formula for the Area of a half circle with a Radius (r) is given by  

            Area of Half circle = πr²/2

The formula for the perimeter of a half circle with a radius (r) is given by

           Perimeter of Half circle = πr

Here we have

A picture of a Rectangle with a half circle

Dimensions of Rectangle = 16 in × 12 in

=> Area of rectangle = 16 in × 12 in = 192 in²

=> Perimeter of rectangle shape = 12 + 16 + 12 = 40 inches

[ Here we only take one side of the rectangle since one of the sides is connected with a Half circle ]

The radius of half circle = 8 inch

=> Area of Half circle = π(8)² = (3.14)(64)/2 = 100.96 in²

=> Perimeter of Half circle = πr =(3.14)(8) = 25.12 in

Area of the composite shape

= Ractangle's Area + Half circle's Area

= 192 in² + 100.96 in²

= 292.96 in²

The perimeter of the composite shape

= Ractangle perimeter + Half circle perimeter

= 40 inches + 25.12 inches

= 65.12 inches

Therefore,

The area of the composite shape is 292.96 in² and the perimeter of the composite shape is 65.12 inches

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To find the difference in the number of items produced by the two plants, we can subtract the production level of the second plant from that of the first plant. This gives us:

Therefore, the first plant produces [tex]5x + 22[/tex] more items daily than the second plant.

two thirds of a number b which is no more than 12, is b ≤ 18

What is inequality ?

In mathematics, an inequality represents the connection between two values in an imbalanced algebraic statement. A sign of inequality can be used to show that one of the two variables is larger than, greater than or equal to, less than, or equal to another value.

According to question

two thirds of a number b = (2/3)b

Given two thirds of number b is no more than 12

⇒   (2/3)b ≤ 12

⇒   2b ≤ 12*3

⇒   b ≤ (12*3)/2

⇒   b ≤ 36/2

⇒   b ≤ 18

hence the number b whose 2/3 is no more than 12 is, b ≤ 18

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Answer:

C - 52.50

Step-by-step explanation:

49 Euros To dollars

Answer:

C) 52.50

Step-by-step explanation:

[tex]\frac{15}{14}[/tex] = [tex]\frac{x}{49}[/tex]  Cross multiply and solve for x

14x = 15(49)

14x = 735  Divide both sides by 14

[tex]\frac{14x}{14}[/tex] = [tex]\frac{735}{14}[/tex]

x = 52.50

An item is regularly priced at, 1.98$ is discounted from the regular price.

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. All of something is 100 percent, half of it is fifty percent, none of something is zero percent. To determine a percentage, you divide the portion of the whole by the whole itself and multiply by 100.

Given that,

First, change the percentage into decimal:

Let us assume,

Sale of regular price = 1%

1% = 1/100 = 0.01

Assume, item regular price is = 2$

Multiply 2 with 0.01:

2 * 0.01 = 0.02

Note that this number 0.02 (0.01 of 2) is the amount off from the original price (2). Subtract 2 from 0.02

2 - 0.02 = 1.98

Therefore,

An item is regularly priced at, 1.98$ is discounted from the regular price.

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The required value of x for the given proportion is 45.31

What is proportion?

Proportion is a mathematical relationship or ratio between two or more values. It is used to compare the size, quantity, or degree of two or more objects or measurements. Proportion can be expressed as a fraction, decimal, or percentage. It is often used in geometry, algebra, and calculus to determine the size of a shape or to solve an equation. Proportion is also used in statistics to compare data sets. In everyday life, proportion is used to make sure that items are in good balance with each other. For instance, proportions are used when baking a cake or making a recipe to ensure that the ingredients are properly combined.

Given, the proportion

x : 15 = 29 : 9.6

or, x = [tex]\frac{29}{9.6}[/tex] × 15

or, x = 45.31

Hence, the required value of x for the given proportion is 45.31

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A) The integers that make the equation false are {2, 54, 86}

B) We found that by solving the linear equation.

Here we have the following linear equation:

7m - 11 = 5m + 43

And the set of the possible solutions is S: {2, 27, 54, 86}

The simplest way to see which integer makes the equation false, we just need to replace the values of the possible solution sets and see which ones give a false equation.

Another method is to simplify the equation, and i will do that:

7m - 11 = 5m + 43

7m - 5m = 43 + 11

2m = 54

m = 54/2

m = 27

So the equation has a single solution, m = 27.

Then the integers that make the equation false are {2, 54, 86}

B) We determined the only true solution for the linear equation, and thus, all the other possible integers aren't solutions, thus, make the equation false.

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On solving the provided question, we can say that - there are 120 distinct pizza topping combinations that may be created if the maximum number of toppings is 3.

Regardless of the sequence in which the items were chosen, a mathematical approach known as a combination may be used to calculate the number of alternative arrangements within a collection of objects. Any order can be chosen by a combination. Combinations in mathematics are ways to choose elements from a collection, and the order in which they are chosen is irrelevant. Let's say we have a trio of numbers: P, Q, and R. The amount of possible combinations for two integers from each set is determined by combinations.

Given: Six toppings in all.

There are three toppings to choose from.

Additionally, if topping repetition is prohibited, the number of viable combinations is equal to 6 × 5 x 4. [We select one out of six first, then one out of the remaining five, then one out of four, and finally we multiply the options for three toppings]

= 120

As a result, there are 120 distinct pizza topping combinations that may be created if the maximum number of toppings is 3.

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After solving the given inequality, the obtained value will be x ≤ -45.

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the given inequality in the question,

-x/3 ≥ 15

-x ≥ 45

Multiply the equation with a minus sign, due to which the sign of inequality will change.

So, the inequality will be,

x ≤ -45

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To prove that Sin (A-B) = sinAcos B - Cos Asin B, we can use the angle subtraction formula for sine:

Sin (A-B) = Sin A Cos B - Cos A Sin B

This formula is derived from the identity:

Sin (A-B) = Sin A Cos B - Cos A Sin B

which can be derived by using the double angle identities for sine and cosine:

Sin (2A) = 2 Sin A Cos A

Cos (2A) = Cos^2 A - Sin^2 A = 2 Cos^2 A - 1 = 1 - 2 Sin^2 A

Substituting these identities into the identity above, we get:

Sin (A-B) = Sin A Cos B - Cos A Sin B

Angle subtraction formulas is otherwise known as angle subtraction identities. This angle subtraction formulas permit us to find the exact values of less common trigonometric angles by expressing the less common angle as the difference of two common angles. For example, 15 degrees = 45 degrees - 30 degrees.

Therefore, Sin (A-B) = sinAcos B - Cos Asin B.

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Answer:

86

Explanation:

3² × (2³ + 4) - 22

9 × (8 + 4) - 22

9 × 12 - 22

108 - 22

86

The point difference between Huskies and Bobcats are 3 x + 4.

Given data :

Difference = Huskies - Bobcats

Hence,

( 5x - 3 ) - ( 2x - 7 )

= 5x - 3 - 2x + 7

= 3x + 4

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68,887 is the sum of the sequence (7+21+63...) to the 9th term.

That is, the sequence (as far as we are given) has a common ratio r=3, between successive terms. The initial term  a= 7 and we are interested in the sum to N = 9 terms.

and the sum of the 9th term is

[a^n = a( 1 - r^N)/1 - r ]

=[7 ( 1 - 3^9 )/ 1 - 3 ]

=7 ( 1 - 19683) / -2

= - 137,774 / -2

= 68,887

9th term = 68,887

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Answer:

0

Step-by-step explanation:

(-8, -4) and (3, -4)

m = y2-y1 / x2-x1

m = -4+4 / 3+8

m = 0 / 11

m = 0

May I please have a brainliest for this? Thank you!

The median of the data sets 10, 11, 13, 18, 19, 21, 22, 25, 27, 30, 32 is 21.

The Median is the "middle" of a sorted list of numbers. In other words, Median, in statistics, is the middle value of the given list of data when arranged in an order.

Therefore, let's find the median of the data sets.

Firstly, we have to sort the data in ascending order before we can find the median in the data set.

10, 11, 13, 18, 19, 21, 22, 25, 27, 30, 32

Hence, the sorted data set is 10, 11, 13, 18, 19, 21, 22, 25, 27, 30, 32.

Therefore,

median = 21

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4.

find slope;

3 - 0/-2 -(-3) = 3/1 = 3

y = 3x + b

0 = (3)(-3) + b

0 = -9 + b

b = 9

y = 3x + 9

The total amount that will be paid of there's a 15% tip is $57.50.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Let's assume that the cost of the good bought is $50. A 15% tip will give a value of:

= 15% × $50

= $7.50

The total amount to be paid will be:

= $50 + $7.50

= $57.50

Note that an overview was given as the information is incomplete.

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a) Using a base 2, the exponential function can be written as follows:

A(t) = 100(2)^(-t/235)

b) The amount of substance remaining after 1000 years is given as follows: 5.2 grams.

The exponential function for this problem is defined as follows:

A(t) = 100(0.5)^(t/235).

Which gives the amount of a substance after t years, considering a half life of 235 years.

The base can be changed to 2 as follows:

A(t) = 100(2)^(-t/235).

As exchanging the sign of the exponent, the numerator and the denominator of the base are exchanged, and 0.5 = 1/2.

The amount of the substance after 1000 years is calculated as follows:

A(1000) = 100 x (0.5)^(1000/235) = 5.2 grams.

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It will take 5 minutes before the stadium is half empty

Given that:

Over 92,000 fans pack the stadium to watch the Tigers play

The fans leave at a rate of 10% per minute

The number of fans that leave per minute will be:

10% of  92,000 = 10/100 × 92, 000 = 9,200

The stadium will be fully empty  in:

time = 92,000/9,200 = 10 minutes

The stadium will be half empty  in:

time = 10 minutes / 2 = 5 minutes

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Answer:

r=6

Step-by-step explanation:

156/r=26

All terms are shifted to the left:

156/r-(26)=0

We divide every term by the denominator.

-26*r+156=0

All the numbers and variables are added together.

-26r+156=0

All terms containing r are shifted to the left, and all other terms are shifted to the right.

-26r=-156

r=-156/-26

r=6

Step-by-step explanation:

f(x) = 3(x - 5) + 8

f-1(x) = -1(3(x - 5) + 8)

= -3(x - 5) - 8

= -3x + 15 -8

= -3x + 7

The equation for the line through the given point with the given slope is y = -3/2x - 10.

What is slope ?

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two different points on a line may be used to compute the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula. We shall comprehend the slope-finding method and its applications in this essay.

Through (-2,-7), slope=-3/2

m = -3/2

y = mx + b

-7 = -3/2 (-2) + b

3 - 8 = b

Switch sides

[tex]-\frac{3}{2}(-2)+b=-7[/tex]

Apply rule -(-a)=a

[tex]\frac{3}{2} \times 2+b=-7[/tex]

3+b=-7

Move 3 to the right side

b=-10

y = mx + b

y = -3/2x - 10

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The LCM of the given pairs are 10, 15,12,30,6,24,20,18, and 63 respectively.

The least common multiple (LCM) of two numbers is the lowest possible number that can be divisible by both numbers.

There are 9 pairs, so let's name them using the letters A to I.

The LCM of the first pair A (2, 5) is 10.

The LCM of the pair B (3, 15) is 1*3*5 = 15.

The LCM of the pair C (6, 12) is 3*2*1*2 = 12.

The LCM of the pair D (3, 15) is 2*3*1*5 = 30.

The LCM of the pair E (2, 3) is 1*3*2 = 6.

The LCM of the pair F (8, 24) is 2*2*2*1*3 = 24.

The LCM of the pair G (4, 10) is 2*2*5 = 20.

The LCM of the pair H (6, 9) is 3*2*3 = 18.

The LCM of the pair I (7, 9) is 7*9 = 63.

Hence, 10,15,12,30,6,24,20,18,63 are the LCM of the given pairs.

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The simple interest implies that Lonzo owes $1513.5

The given variables can be represented as:

Loan amount P = $1500

Rate of interest, R = 1.2%

Time to pay back the loan, t = 9 months i.e. 0.75 year

The amount from a simple interest can be calculated using:

A = P(1 + RT)

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

A = 1500 * (1 + 1.2% * 0.75)

Evaluate

A = 1513.5

Hence, the amount owed is $1513.5

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The maximum value of the periodic function with amplitude 6.5 and minimum value 7 is 13.5.

What is a periodic function?

The time interval between two waves is known as a Period whereas a function that repeats its values at regular intervals or periods is known as a Periodic Function.

The maximum value of a periodic function with amplitude 6.5 and minimum value 7 is equal to the sum of the amplitude and the minimum value.

The amplitude of a periodic function is defined as the maximum distance that the function deviates from its centerline. In this case, the amplitude of the function is 6.5.

The minimum value of a function is the lowest value that the function takes on over a given period. In this case, the minimum value of the function is 7.

To find the maximum value of the function, we need to add the amplitude and the minimum value. The maximum value is equal to 6.5 + 7 = 13.5.

Hence, the maximum value of the periodic function with amplitude 6.5 and minimum value 7 is 13.5.

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y ≥ 0 , Zero possible solution.

What is inequality ?

In mathematics, an inequality represents the connection between two values in an imbalanced algebraic statement. A sign of inequality can be used to show that one of the two variables is larger than, greater than or equal to, less than, or equal to another value.

According to question

a represents the number of tables sold and y represents the number of chairs sold

Using a and y as variables, we get

a + y ≤ 18

100y + 400a ≥ 2900

Simplified,

100(y + 4a) ≥ 2900

y + 4a ≤ 29

Given the minimum number of tables that need to be sold, we evaluate using a = 10

y + 4(10) ≥ 29

y ≥ -11

y represents the number of chairs sold

therefore, y ≥ 0

Since we can't purchase -11  chair, we round up our result giving us y ≥ 0

Now

the store must sell a minimum of 10 tables and tables for $400 each

then

10*400 = $4000

which is more than worth of chairs and tables $2900

hence Zero possible solution.

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The measure of ∠A is 29.

What is an angle?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

Given that,

m∠A = (2x−13)° and m∠B = (2x+ 7)° and ∠A and ∠B are complementary angles.

Therefore

m∠A + m∠B = 90°

(2x−13)° + (2x+ 7)° = 90°

4x + 6 =90

Subtract 6 from both sides:

4x = 84

Divide both sides by 4:

x = 21

Putting x = 21 in m∠A = (2x−13)°:

m∠A = (2 × 21−13)°

m∠A = 29°

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