Florence and her family ordered a meal that cost $60. Florence paid 15% sales tax and left a 15% tip on $60. What was the total cost?

Answer:

d = 32.5 ft

Step-by-step explanation:

The closest to the total length of the six cars is 32.5 ft.

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

Given that, a roller costar making a right triangle's hypotenuse with the height and the base,

We need to find the length of the all the six cars, we will find it, by considering the whole scenario as a right-angled triangle and the roller costar be the hypotenuse,

Here using the concept of Trigonometric Ratios

Sin 38° = 20 / the length of the cars

The length of the cars = 20 / Sin 38°

= 32.5

Hence, the closest to the total length of the six cars is 32.5 ft.

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Answer:

21 units

Step-by-step explanation:

7 units in 5 hours means 14 units in 10 hours which means 21 units in 15 hours.

5x3=15

7x3=21

Answer:

B

I think it b hops it will help

Answer:

X represents the number of product so 3 cause you have 2 pastas and 1 cheese. The length represents the total cost. I think 3 would represent cost? I'm not totally sure on that one. Hope this helps!

Step-by-step explanation:

We are told that Jason has $325 and that he earns $105 per week. That means that if "w" is the number of weeks then the amount of money he has in total is what he has saved by the product of $105 by the number of weeks. That is, if A is the amount he has, then:

Now, we are asked how many weeks it takes to get to $900. This means that we set A = 900 and solve for "w".

To solve for "w" we first subtract 325 on both sides:

Now we divide both sides by 105

Solving the operations:

Therefore, it takes Jason 5.5 weeks to get to $900

Answer:

Step-by-step explanation:

we have the diameter =60 cm, the radius is 60/2=30 cm

A circle is 3.14*r^2=2827 cm^2

Answer: C. 2827 cm2

Step-by-step explanation:

The area of a circle is calculated by pir^2; r = the radius

In the diagram, the diameter is provided. The radius is half of the diameter. 60/2 = 30, so the radius is 30 cm.

Plug these values into the formula

A = 3.14*30^2

A = 2827.43, which would round to 2827 cm2

The term in the expression that represents Lan's typical average speed is:

d - 20.

Let's assume that Lan's typical speed is denoted by s. Then, her speed in the construction zone would be one-third of s, or s/3.

To find Lan's total travel time for the day, we need to add the time it takes for her to travel 20 miles in the construction zone to the time it takes for her to travel the remaining distance at her typical speed. We can represent this as:

Total travel time = time in construction zone + time at typical speed

The time it takes for Lan to travel 20 miles in the construction zone can be calculated using the formula:

time = distance / speed

So, the time in construction zone would be:

time in construction zone = 20 / (s/3) = 60/s

The time it takes for Lan to travel the remaining distance at her typical speed would be:

time at typical speed = (total distance - 20) / s = (d - 20) / s

Substituting these values into the expression for total travel time, we get:

Total travel time = 60/s + (d - 20) / s

To find the term in the expression that represents his typical average speed, we need to look for the variable that is being divided by s. This is the term: d - 20

So, Lan's typical average speed is: s = (d - 20) / time at typical speed.

Thus, the term in the expression that represents Lan's typical average speed is: d - 20.

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There are eight multiples: 8, 16, 24, 32, 40, 48, 56, 64, 72, and so on.

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Answer:

7.07106781187

Step-by-step explanation:

if its just asking \(\sqrt50\)

:D

translating phrases and sentences into expressions, equations, and inequalities is an important skill in mathematics. It involves identifying key words and phrases that indicate mathematical operations and relationships. By understanding these key words, we can represent real-world problems using mathematical language and symbols, making it easier to solve and analyze them.

translating phrases and sentences into expressions, equations, and inequalities

When solving mathematical problems, it is often necessary to translate phrases and sentences into mathematical expressions, equations, and inequalities. This process involves identifying key words and phrases that indicate mathematical operations and relationships.

For example, let's consider the following sentence:

'The sum of a number and 5 is equal to 12.'

In this sentence, the key words 'sum,' 'number,' 'equal to,' and '12' indicate that we need to perform addition and find the value of the unknown number. We can represent this sentence as the following equation:

x + 5 = 12

Here, 'x' represents the unknown number.

Similarly, let's consider the following sentence:

'Twice a number decreased by 7 is greater than 15.'

In this sentence, the key words 'twice,' 'decreased by,' 'greater than,' and '15' indicate that we need to perform multiplication, subtraction, and comparison. We can represent this sentence as the following inequality:

2x - 7 > 15

Here, 'x' represents the unknown number.

By understanding key words and phrases, we can effectively translate real-world problems into mathematical language and solve them using expressions, equations, and inequalities.

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1) An inequality to represent the given phrase is 5q>30.

2) An equation to represent the given phrase is 2b²=8.

1) The given phrase is "The product of 5 and q is greater than 30."

Here, the product of 5 and q = 5×q

= 5q

Now, the product is greater than 30.

Thus, 5q>30

q>30/5

q>6

2) The given phrase is "Twice the square of b is equal to 8."

Here, the square of b = b×b

= b²

Twice the square of b = 2b²

So, the product is equal to 8.

That is. 2b²=8

b²=4

b=±2

Therefore,

1) An inequality to represent the given phrase is 5q>30.

2) An equation to represent the given phrase is 2b²=8.

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"Your question is incomplete, probably the complete question/missing part is:"

Translate phrases and sentences into expressions, equations and inequalities.

1) The product of 5 and q is greater than 30.

2) Twice the square of b is equal to 8.

Answer:

9 3/5

Step-by-step explanation:

96/10 = 48/5

Answer:

emmm i mostly thinks its b

Given -

Table

To Find -

Rate of change for the data set​ =?

Step-by-Step Explanation -

We know the formula for rate of change =

So, Here

Final Answer -

Rate of change for the data set​ = 3.5

Answer:

24

Step-by-step explanation:

Perimeter of rectangle = 2 (4x + 2x)

288= 2* 6x

288 = 12x

x = 288/12

x = 24

2(2x+4x)=288

12x=288

x=24

The graphs of the 3 given functions can be seen in the image attached at the end.

Here we basically want to graph the next 3 functions:

y = x + 3

y = -x + 3

y = |x| + 3

So, the first two are linear equations. To graph these we just need to find two points on the line and connect them with a line.

The last one is the absolute value function translated up by 3 units.

So, to give an example of how to graph the first equation, first we evalaute in x = 0, then we get:

y = 0 + 3 = 3

So we have the point (0, 3)

For that same line we can evaluate in x = 1

y = 1 + 3 = 4

Then we also have the point (1, 4).

Now we have 2 points, we can just connect them with a line.

The graph of the 3 equations can be seen below.

A is the blue line, B is the red line, C is the orange graph.

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Answer:

A; D

Step-by-step explanation:

The first is mostly because of the slope is larger so i guessed-sorry-

The second one, domain is x and range is y.

By applying the Law of Sines and the Law of Cosines, we can determine the number of triangles that can be formed with the given parts and solve the triangle.

To determine the number of triangles, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, we have β as an angle, so we can use the Law of Sines to find the remaining angles and the Law of Cosines to find the remaining side.

First, we can determine the value of α, which is the angle opposite side a. Using the Law of Sines, we have sin(α) / a = sin(β) / b. Plugging in the given values, we can solve for α.

Next, we can find the remaining angle γ by subtracting α and β from 180°.

After finding the angles α and γ, we can use the Law of Sines to find the remaining side c. We have sin(α) / a = sin(γ) / c. Plugging in the values, we can solve for c.

Once we have all the angles and sides, we can determine the type of triangle (e.g., acute, obtuse, right) and solve the triangle completely.

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The largest possible side is 11 cm

The perimeter of any two-dimensional figure is defined as the distance around the figure. We can calculate the perimeter of any closed shape just adding up the length of each of the sides.

The sum of the lengths of the sides is the perimeter of any polygon. In the case of a triangle,

Perimeter = Sum of the three sides

he formula for the perimeter of a closed shape figure is usually equal to the length of the outer line of the figure. Therefore, in the case of a triangle, the perimeter will be the sum of all the three sides. If a triangle has three sides a, b and c, then,

Perimeter, P = a + b +c

perimeter of a triangle is 23 cm.

therefor , P = 23 cm.

one side measures 5 cm,

a =  5 cm

Perimeter,

P = a + b +c

23 = 5 + b + c

23 - 5 = b + c  

b + c = 18

The sum of any 2 sides of a triangle is greater than the third side.

Two sides of the given can not have the following measurements.

17&1; 16&2; 15&3; 14&4; 13 &5; 12 & 6 .

Values possible are: 11 &7; 10 &8; 9&9

the longest possible side is 11 cm

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Answer:

5x-6=2

Step-by-step explanation:

Answer:

Number of $1 coins are 25 and number of 50 cent coins are 30.

Step-by-step explanation:

Let's set up the equations.

Let there are x number of $1 coins

There are y number of 50 cent coins

So, x+y =55

1 x+0.50 y =40

Solve the equations for x and y.

Solve the first equation for y.

y=55-x

Substitute y as 55-x into the second equation.

1 x+0.50(55-x)=40

Solve the equation for 'x'.

Distribute the 0.50 to get rid the ( ).

1 x+27.5-0.50 x= 40

Combine like terms

0.50 x +27.5=40

Subtract both sides 27.5

0.50 x =12.5

Divide both sides by 0.50

x=25

Now, plug in x as 25

y=55-25

y=30

So, number of $1 coins are 25 and number of 50 cent coins are 30.

Answer:

Step-by-step explanation:

area of circle=pi*r^2

Answer:

9.125

Step-by-step explanation:

15.4 divided by 1.6 is 9.125 miles

Answer:

3

√

10

√

5

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

36=18x

x=36/18

x=2

Answer:

\(x = 2\)

Step-by-step explanation:

\(36 = 18x \\ divide \: both \: sides \: by \: 18\\ \\ 2 = x\)

Answer:

x=-1

Step-by-step explanation:

5x+3=-2

subtract 3 from both sides

5x=-2-3

Subtract 3 from -2 to get -5

5x=-5

Divide by 5 on both sides

x=-5/5

Divide -5 by 5 to get -1

x=-1

Answer:

-2= 5x+ 3

-2-3=5x

x=-5/5=-1

Answer:

B 68 sq cm

Step-by-step explanation:

There's an overlap of 4

2*13 + 4

4 * 17 is 68

Katie don't delete my work!

The rule of inference being used here is Modus Tollens. Modus Tollens is a valid deductive argument form that states if a conditional statement "If P, then Q" is true and the consequent Q is false, then the antecedent P must also be false.

In the given scenario, the conditional statement is "If the guard dog doesn't know a person, then it barks."

The observation that the dog didn't bark (Q is false) leads to the conclusion that the dog must have known the person (the antecedent P is false).

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a) The solution for b in the equation 2b × 3 = 6 is b = 1.

b) The solution for b in the equation 32 - 3b = 2 is b = 10.

c) The solution for b in the equation 6 + 7b = 41 is b = 5.

d) The solution for b in the equation 100/5b = 2 is b = 10.

a) To solve for b in the equation 2b × 3 = 6, we can start by dividing both sides of the equation by 2 to isolate b.

2b × 3 = 6

(2b × 3) / 2 = 6 / 2

3b = 3

b = 3/3

b = 1

Therefore, the solution for b in the equation 2b × 3 = 6 is b = 1.

c) To solve for b in the equation 6 + 7b = 41, we can start by subtracting 6 from both sides of the equation to isolate the term with b.

6 + 7b - 6 = 41 - 6

7b = 35

b = 35/7

b = 5

Therefore, the solution for b in the equation 6 + 7b = 41 is b = 5.

b) To solve for b in the equation 32 - 3b = 2, we can start by subtracting 32 from both sides of the equation to isolate the term with b.

32 - 3b - 32 = 2 - 32

-3b = -30

b = (-30)/(-3)

b = 10

Therefore, the solution for b in the equation 32 - 3b = 2 is b = 10.

d) To solve for b in the equation 100/5b = 2, we can start by multiplying both sides of the equation by 5b to isolate the variable.

(100/5b) × 5b = 2 × 5b

100 = 10b

b = 100/10

b = 10.

Therefore, the solution for b in the equation 100/5b = 2 is b = 10.

In summary, the solutions for b in the given equations are:

a) b = 1

c) b = 5

b) b = 10

d) b = 10

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