Service
Restaurant
Florist
Cab Fare
Dog
Groomer
Cost Gratuity Tax
$40
18%
$94
$32
12%
20%
8.5%
12%
0%
$62 26% 5.75%
Approximate the amount of tip for the florist by
rounding the cost and the percent gratuity to the
nearest ten.
$

Answer: C

Step-by-step explanation:

180° = 96° + 8y + 12

180° = angles on a straight line

180 - 96 - 12 = 8y

8y = 180 - 96 - 12

8y = 72

y = 72 / 8

y = 9

Translate each sentence into an equation. which are as follows the value of a is 2, the value of m is 13.71 and the value of w is the root of 5.

1. The sum of three times a and four is the same as five times a.

3a+4 = 5a

3a = 5a -4

4 = 5a-3a

4= 2a

2 =a

2. One-fourth of m minus six is equal to two times the sum of m and 9.

1/4m - 6 = 2 (m+9)

1/4m = 2m +18+6

1/4m = 2m + 24

2m -1/4 m = -24

7/4 m = -24

m = -24*4/7 = 13.71

The value of m is 13.71

3. The product of five and w is the same as w to the third power.

5*w = w.w.w

5 = w.w.w/w

5 = w.w

root of 5 = w

The value of w is the root of 5

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Answer:

23+15 or 2/3+1/5

Step-by-step explanation:

23+15=48

2/3+1/5= 13/15

Add all numerators above the least common denominator then add the numbers

Yes, the given set of numbers can be the measures of the sides of a triangle. The triangle is acute.

By the triangle inequality theorem, the sum of the lengths of any two sides should be greater than the length of the third side.

16 + 18 > 26

18 + 26 > 16

26 + 16 > 18

Hence, these set of numbers can be the measures of the sides of a triangle.

According to the Pythagorean Inequality Theorem, a triangle whose sides measure a, b, and c where c is the largest, the triangle can be characterized as:

acute if [tex]a^{2} + b^{2} < c^{2}[/tex]

obtuse if  [tex]a^{2} + b^{2} > c^{2}[/tex]

right if  [tex]a^{2} + b^{2} = c^{2}[/tex]

∴The longest side is 26.

Hence, a = 16, b = 18 and c = 26;

Consider [tex]a^{2} + b^{2[/tex]  :

= [tex]16^{2} + 18^{2}[/tex]

= 580.

Now consider [tex]c^{2}[/tex] :

= [tex]26^{2}[/tex]

= 676.

Thus, [tex]a^{2} + b^{2} < c^{2}[/tex].

Hence, the triangle is acute.

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Construct an acute triangle and find the centroid (medians), circumcenter (perpendicular bisectors), and orthocenter (altitudes). Take note of how these three centers interact with one another from the figure.

An acute angle triangle (also known as an acute-angled triangle) is a triangle with all of its interior angles being acute angles. Remember that an acute angle is one that is less than 90°.

A triangle with three acute angles is known as an acute triangle. An obtuse triangle has one obtuse angle and two acute angles. Because the angles of a triangle in Euclidean geometry must sum to 180°, no Euclidean triangle can have more than one obtuse angle.

Construct an acute triangle and find the centroid (medians), circumcenter (perpendicular bisectors), and orthocenter (altitudes). Take note of how these three centers interact with one another from the figure.

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The situation given that can be represented by a graph with a y-intercept of -8 is A. Hal bought $8 worth of supplies, then sold x buttons for $3 each. His profit is y dollars.

The y-intercept is a figure in the linear equation that shows the original number of units before the value of x either started to increase or to decrease and therefore cause a change in x.

The situation where Hal bought $8 worth of supplies would be represented by the y-intercept of -8 because the $8 that Hal bought represents his total profit before he sells anything. That total profit is -8 because Hal has spent -$8 but has not sold anything.

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The length of the fence around the triangular land is equal to 180 meters.

The perimeter of a figure is the sum of the side lengths of the figure. Triangles have three sides and we need to determine the perimeter of the triangular land. If we know that l₁ = 55 meters, l₂ = 60 meters and l₃ = 65 meters, then the perimeter of the figure is:

p = l₁ + l₂ + l₃

p = 55 m + 60 m + 65 m

p = 180 m

The length of the fence around the triangular land is equal to 180 meters.

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Option D) is correct option that is the function ,  (f + g)(x) = x – 7

Note that if we have been given two functions which are f(x) and g(x) then their addition will be given as

            (f + g)(x) = f(x) + g(x)             (1)

We have been given the equation as

f(x) = -3x - 5     and g(x) = 4x – 2

putting the required value in equation (1) we get

            (f + g)(x) = (-3x-5) + (4x-2)

            (f + g)(x) = -3x – 5 + 4x – 2

            (f + g)(x) = x – 7

Thus option D) is the correct option that is the function,  (f + g)(x) = x – 7

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Answer:

-2.6

Step-by-step explanation:

The properties in each step is:

Step 1 and 2: distributive property

Step 3: addition property of equality

Step 4: division property of equality

Given the equation, x + 0.06x - 1.50 = 3.80, we can solve for x using the steps with the following appropriate properties shown below:

Step 1:

(1 + 0.06)x - 1.50 = 3.80 (distributive property)

Step 2:

1.06x - 1.50 = 3.80 (distributive property)

Step 3: Add 1.50 to both sides of the equation

1.06x = 5.30 (addition property of equality)

Step 4: Divide both sides by 1.06

x = 5.00 (division property of equality)

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Hence , the diameter of the trunk of the tree is 2.54 × 10⁻¹ m which is option (B) .

Let the diameter of stem of a flower be " x"  and diameter of the trunk of a tree be " y " .

According to the question  "The diameter of the trunk of a tree is 40 times greater than the stem of the flower " which can be represented by

y = 40 x       .....(1)

It is given that stem of a flower has a diameter of 6.35 × 10⁻³ meters.

Putting x = 6.35 × 10⁻³ in equation (1) , we get

 y = 40 × 6.35 × 10⁻³

 y = 254 × 10⁻³

 y = 2.54 × 10⁻¹ m

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The simplified expression for (6-5 / 4-2) is 1/2 .

The given expression is,

6-5 / 4-2

First we need to solve the numerator which is (6-5) and on simplifying the numerator we can write,

Numerator = ( 6 - 5 ) = 1                         equation 1

Similarly, now we can proceed to solve the denominator which is (4 - 2) and on simplifying the denominator we write,

Denominator  = (4 - 2) =2                       equation 2

Now we can substitute the value of numerator and the denominator from equation 1 and equation 2 in the given expression (6-5 / 4-2) as,

(Numerator / Denominator) = (6-5 / 4-2) = 1/2

The simplified expression for (6-5 / 4-2) is 1/2 .

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Answer:

3

Step-by-step explanation:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

5-2*3+4   First multiply.

5-6+4 Now do addition or subtraction what comes first, from left to right.

-1+4 =

3

Answer:

  D

Step-by-step explanation:

You want to find the number line that shows the solution to -4 -(-6).

The first number in the "sum" is -4, so the first arrow on the number line should go from 0 to -4. (All choices show that.)

The second number is -6. Addition of -6 would create an arrow from -4 going 6 units to the left. Subtraction works in the opposite direction, so the subtraction of -6 will show as an arrow from -4 extending 6 units to the right. Only answer choice D shows this.

__

Additional comment

You know the solution is -4 -(-6) = -4 +6 = +2, so the graph showing the solution will have an arrow ending at +2. This eliminates all answer choices except the correct one.

<95141404393>

The domain of the function is {x | 2 ≤ x ≤ 9}

The domain of the function is the set of input values of the graph

The given parameters are

A linear function begins with closed circle at (2,0) and ends with a closed circle at (9,7)

This is represented as

(x, y) = Closed (2, 0)

(x, y) = Closed (9, 7)

Remove the y values to determine the domain

x = Closed 2

x = Closed 9

The closed statement represents the inequality ≤

So, we have

2 ≤ x ≤ 9

Hence, the domain of the function is {x | 2 ≤ x ≤ 9}

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Answer:

B. {x | 2 ≤ x ≤ 9}

Step-by-step explanation:

It should be noted that the distance of

Bellevue from the office be located will be 13.85 miles.

It should be noted that based on the information, the handyman company serves customers from two cities 60 miles apart, Jonesville and Bellevue and the vompany would like to position a new office between the two cities using weighted averages based on the typical number of calls received from each city.

From the information, Jonesville has a weight of 3 and Bellevue has a weight of 5, the distance of

Bellevue from the office be located will be:

= (0 × 5 + 60 × 4) / (5 × 8)

= 180 / 13

= 13.85

The office should be 13.85 miles from Bellevue.

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Answer:

we are not in school

Step-by-step explanation:

Conditional: If it is a Thanksgiving, then we are not in school.

Hypothesis: If it is a Thanksgiving, then we are not in school.

Conclusion: If it is a Thanksgiving, then we are not in school.

Answer: we are not in school

Answer: god please help the world

Step-by-step explanation: we are struggling

Answer: -6/7p+1/7

Step-by-step explanation: thank god I'm smart lol... I'm a big brain!!!

The total amount raised is the same for both Roxy and Randy if they sell 50 Plates.

Let the number of plate = 'p'

Roxy :

Selling price of plates = $5.00

Raised = $175

Total plates sold = 5.00p

Total amount raised = 5.00p + 175  ...eq.(1)

Randy :

Selling price of plates = $3.50

Raised = $250

Total plates sold = 3.50p

Total amount raised = 3.50p + 250  ...eq.(2)

Now we will equate the eq.(1) and eq.(2) to find the same amount raised by both Roxy and Randy ,

5.00p + 175 = 3.50p + 250

5.00p - 3.50p =250 - 175

              1.5p = 75

                   p = 75/1.5

                   p = 50

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Answer:

Perimeter of a square is proportional to side length

Step-by-step explanation:

We have the relation p = 4a, p = perimeter, a = side length

This is the equation for a proportionate relationship of the form y = k.x where y ∝ x , y directly proportional to x => y varies as x varies and always by the same constant

k is known as constant of proportionality

Here k = 4

Let's say the side of square is 1. Then perimeter = 4

If side is increased to 2, then perimeter = 4 x 2 = 8

If side is increased to 3, then perimeter is 4 x 3 = 12

So perimeter increases by a factor of 4 for every unit increase in side length

Answer:

[tex]K^{4} -5k^{3} -10k-4[/tex]

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Slope = rise/run

[tex]\mathrm{Slope} = \frac{y_2-y_1}{x_2-x_1}\\m=\frac{1-5}{4-2}\\1 - 5 = -4\\4 - 2 = 2\\=\frac{-4}{2}\\ =-2[/tex]

For the given equation, the value of d = 30

To solve linear equations, utilize the steps that are provided below. Remove parenthesis from either side of the equation and combine similar phrases to make it simpler. To separate the variable term on one side of the equation, use addition or subtraction. To find the variable, use division or multiplication.

Divide both sides of the equation by the coefficient of variable: d-12 = 10÷ 5/9

Divide a fraction by multiplying its reciprocal: d 9 -12=10 x 9/5

Write as a single fraction: d-12 = (10 x 9) / 5

Calculate the product or quotient: d-12= 90 / 5

Reduce fraction to the lowest term by canceling the greatest common factor: d-12 = 18

Rearrange unknown terms to the left side of the equation: d=18+12

Calculate the sum or difference: d=30

Answer: d=30

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The value of x is 280

From the information given, we have that;

It is important to note that, the angle subtended by an arc at the center is twice the angle subtended at the circumference.

Example;

If AOB  is the angle at the circumference and ACB is the angle at the center

Then, we have that;

Angle AOB = 2 × Angle ACB

2(140) = x

expand the bracket

x = 280

Thus, the value of x is 280

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Answer:

you should use subtraction to solve this problem

Antonio spent 1/2 hours longer at soccer practice then baseball practice

Step-by-step explanation:

9/10-2/5

9/10-4/10

=

5/10 or 1/2

(0,-4) , (0,-1) , (4,-1) are the ordered pairs are solutions to the inequality

y − 3x < 10 which is option (A) , (D) and (E) .

We have to check whether the given options are the solutions to the inequality y− 3x < 10 .    ...(1)

(A) If (0,-4) is the solution of given inequality y− 3x < 10 then it must satisfy the equation .

Putting x = 0 and y = -4 in equation (1) , we get

[tex]-4-3(0) < 10\\-4 < 10[/tex]

As the above condition is true so (0,-4) is the solution of given inequality

(B)  If (-6,0) is the solution of given inequality y− 3x < 10 then it must satisfy the equation .

Putting x = -6 and y = 0 in equation (1) , we get

[tex]0-3(-6) < 10\\18 < 10[/tex]

As the above condition is not true so (-6,0) is not the solution of given inequality .

(C)  If (-1,7) is the solution of given inequality y− 3x < 10 then it must satisfy the equation .

Putting x = -1 and y = 7 in equation (1) , we get

[tex]7-3(-1) < 10\\7+3 < 10\\10 < 10[/tex]

As the above condition is not true so (-1,7) is the not the solution of given inequality .

(D)  If (0,-1) is the solution of given inequality y− 3x < 10 then it must satisfy the equation .

Putting x = 0 and y = -1 in equation (1) , we get

[tex]-1-3(0) < 10\\-1 < 10[/tex]

As the above condition is true so (0,-1) is the solution of given inequality.

(E)  If (4,-1) is the solution of given inequality y− 3x < 10 then it must satisfy the equation .

Putting x = 4 and y = -1 in equation (1) , we get

[tex]-1-3(4) < 10\\-1-12 < 10\\-13 < 10[/tex]

As the above condition is true so (4,-1) is the solution of given inequality.

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4 lines of symmetry are there in the pattern.

What are an example and a pattern?

The square's two diagonals are symmetry lines.

Additionally, symmetry lines are formed by connecting the midpoints of the opposing sides. Consequently, there are four lines of symmetry overall.

4 lines of symmetry are there in the pattern.

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The image of the point (3,4)(3,4) after a rotation of 90^{\circ}90 ∘ counterclockwise about the origin is (-3,4).

A point's reflection

The mirror's "reflection" of the specified point P causes it to appear at an equal distance away on the other side of the line. To view this, move the point P. According to tradition, the "image" of point P is the reflection of point P across the line, which is designated by the term P' (pronounced "P prime").

As the rotation is counterclockwise around the origin,

the coordinates of the image will be - (-3,4)

The graph is attached at the end of the solution.

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Answer:

-4, 3

Step-by-step explanation:

The diameter is the length of the line passing through the center and touching two points on the circle's edge.

In geometry, a circle's diameter is any straight line segment that passes through the center of the circle and has endpoints on the circle. It is also referred to as the circle's longest chord. Both definitions apply to a sphere's diameter.

The diameter is defined as the length of a line passing through the center and touching two points on the circle's rim.

A circle's diameter extends from one side to the other, with its midpoint in the center. Divide the radius of the circle by two to get the diameter.

A circle's diameter divides the shape in half. The radius of a circle is half the length of its diameter (or, conversely, the diameter of a circle is twice the length of its radius).

The complete question is:

Identify each

b. a diameter

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