a restaurante bill comes to $28.35. Find the total cost if the tax is 6.25% and a 20% tip is left on the amount before tax.

Answer: D - 2/3 x- 13/12 = -5/12 x

Step-by-step explanation:

The equivalent equation is 'Two-thirds x equals negative StartFraction 5 Over 12 EndFraction x minus StartFraction 7 Over 12 EndFraction'. This is achieved by adding and subtracting appropriate fractions on both sides of the original equation to balance it.

The question asks which equation is equivalent to 'Two-thirds x minus StartFraction 5 Over 6 EndFraction equals negative StartFraction 5 Over 12 EndFraction x + one-fourth'. The correct equivalent equation for this is 'Two-thirds x equals negative StartFraction 5 Over 12 EndFraction x minus StartFraction 7 Over 12 EndFraction'.

To find this, take the original equation, and add StartFraction 5 Over 6 EndFraction to both sides which will result in Two-thirds x equals negative StartFraction 5 Over 12 EndFraction x plus one-fourth. Then, subtract one-fourth from both sides, resulting in 'Two-thirds x equals negative StartFraction 5 Over 12 EndFraction x minus StartFraction 7 Over 12 EndFraction'.

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Answer:

c = 27/40

Step-by-step explanation:

1/8+c=4/5

Subtract 1/8 from each side

1/8 - 1/8+c=4/5-1/8

c = 4/5 - 1/8

The common denominator is 40

4/5 *8/8 =32/40

1/8 *5/5 =5/40

c = 32/40-5/40

  =27/40

1/8 + c = 4/5

Multiply by common denominator 40=5(8).

5 + 40c =32

40c = 32-5 = 27

c = 27/40

Answer: c = 27/40

Answer: B, A, C, D ??

Step-by-step explanation: Find the slope by Rise/ Run.

Hope this helps!

Answer:

See bold face answers below.

Step-by-step explanation:

10.

The legs of a 45-45-90 triangle are always congruent.

11.

The shorter leg is always opposite the 30-deg angle and the longer leg is always opposite the 60-deg angle.

Answer:

y ≤ 3x  and y > –2x – 1 (close answer)

Step-by-step explanation:

Line pass (-1 , -3) and (0 , 0)

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

y intercept = 0

y = 3x

Everything to the right of the line is shaded: (if include the line) y ≤ 3x

if not include the line and only everything to the right: y < 3x

Line pass (-2 , 3) and (1 , -3)

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

y intercept = 3 - ((-2) x (-2)) = -1

y = -2x - 1

Everything to the right of the line is shaded: (if include the line) y ≥ -2x - 1

if not include the line and only everything to the right: y > -2x - 1

in all the options listed, only the first one y ≤ 3x  and y > –2x – 1 close to the equation above. But y ≤ 3x must include the line y=3x (noy mentioned in the question above)

And there is a very small triangle in the 3rd quadrant is in the territory of original building. It should be excluded from the addition.

Answer:

im still confused...

Step-by-step explanation:

Answer:

208

Step-by-step explanation:

Answer:

I got it right on the test

Answer: D

Step-by-step explanation:

A triangular prism. The triangular sides have a base of 6, height of 4, and side lengths of 5. The height of the prism is 10. A second triangular prism. The triangular sides have a base of 6, height of 2, and side lengths of 3.6. The height of the prism is 10.

What is the surface area of this composite solid?

___________ square units

  104

  122

  158

√208

Answer:

i dont know but i need points

Step-by-step explanation:

so yea have a nice day

Answer:

150 blocks

Step-by-step explanation:

You can solve this by setting up an equation.

Assuming that x is the total amount of blocks,

0.44x=66

x=66/0.44=150 blocks. Hope this helps!

Answer:

150 blocks

Step-by-step explanation:

Rewrite the problem as shown below:

0.44x = 66 blocks

Then x (the original number of blocks) is (66 blocks)/0.44 = 150.

Answer:

<ABE and <DBC

Step-by-step explanation:

The answers are adjacent to the angle <ABC because of they are vertical angles and share the same vertex point - the B is considered as the vertex or as the midpoint between the values. The angles <ABE and <DBC are congruent to <ABC

∠ABE and <DBC are the two angles that are adjacent to ∠ABC.

Coordinate geometry is defined as the study of geometry using the coordinate points.

An angle is formed when two straight lines or rays meet at a common endpoint.

The two angles are said to be adjacent angles when they share the common vertex and side

B is the common vertex.

The vertex of an angle is the common endpoint of two rays that form the angle.

We need to find the adjacent angles of ∠ABC.

∠ABE and  <DBC are the  adjacent angles of ∠ABC as they having the same vertex B.

They are vertical angles and share the same vertex point B.

The two angles that are adjacent to ∠ABC are ∠ABE and <DBC are

Hence, ∠ABE and <DBC are the two angles that are adjacent to ∠ABC.

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Answer:

27%

Step-by-step explanation:

Add the number of students: 87+86+71+92= 336

Divide the number of 9th grade Spanish students by the total number of students: 92÷336= 0.27

Times by 100 to get a percentage: 27%

Final answer:

To find the percentage of 9th graders taking Spanish compared to all students in foreign language classes, add the counts from all classes to find the total, then divide the number of 9th grade Spanish students by this total and multiply by 100.

Explanation:

To determine the percent of all students in a foreign language class that are 9th graders taking Spanish, we would need the total number of students taking foreign languages and the number of those who are 9th graders taking Spanish. Let's assume we have the following numbers in our data table:

8th grade French students

9th grade French students

8th grade Spanish students

9th grade Spanish students

Add the numbers of all the students together to find the total. Then, divide the number of 9th grade Spanish students by the total and multiply by 100 to get the percentage.

For example, if there are 100 students in total and 27 of them are 9th graders taking Spanish, the calculation would be:

(27 / 100) * 100% = 27%

Answer:114% percent of her budget is used to entertain

Step-by-step explanation: You just add up all the money and minus it by 40%

Answer:

(3x-4)(2x+3)

Step-by-step explanation:

Answer:m<E=tan-1(3/4.6)

Step-by-step explanation:

The triangle is an illustration of a right triangle

The equation that could be used to find angle E is [tex]E = \tan^{-1}(\frac{3}{4.6})[/tex]

To calculate angle E, we make use of the following tangent ratio

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

So, we have:

[tex]\tan(E) = \frac{3}{4.6}[/tex]

Take the arc tan of both sides

[tex]E = \tan^{-1}(\frac{3}{4.6})[/tex]

Hence, the equation that could be used to find angle E is [tex]E = \tan^{-1}(\frac{3}{4.6})[/tex]

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Answer:

32x

Step-by-step explanation:

Answer:

(x + 3)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The answer for this question is C I THINK

Answer:

45. B, 9 + 0 = 9

46. D. 9 x 1 = 9

47. D. 0

48. B. 1/6 x 6 = 1

49.  A

Step-by-step explanation:

Answer:

If she drives the car 150 miles, option A costs more. It'll cost $30 more.

The options cost the same if she drives 75 miles. If she drives less than 75 miles, option A costs less.

The required answer for (a) if Milan drives car 150 miles then Option A costs more $30 than Option B

Also the answer for (b) is the two Options costs same at 150 miles

Cartesian System:

The horizontal line called x-axis and vertical line called y-axis represent the position of any moving object.

Here we have assigns x-axis as miles driven by rental car

and y-axis is assigned as costs

Also we have given

Option (1) : The red line in the given graph

Option (2) : constant parallel line to the x-axis with costs $50

By observing the graph

(a)

At 150 miles at x-axis we found Option B costs $50 while Option A costs $80 which is 80 - 50 = $30 more than Option B

(b)

If we observe the intersecting point of these line then it is (75, 50)

This shows the equal costs $50 will be gain at 75 miles driven

If Milan drives less than this 75 miles then Option B is less costs.

This is the conclusion to the answer.

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Answer:

[tex]z=\frac{0.185 -0.2}{\sqrt{\frac{0.2(1-0.2)}{6997}}}=-3.137[/tex]  

[tex]p_v =P(z<-3.137)=0.0009[/tex]  

Since the p value is very low we have enough evidence to reject the null hypothesis at the significance lvel given of 0.01 so then we can conclude that the return rate ofr this case is significantly lower than 20%

Step-by-step explanation:

Data given

n=6997 represent the random sample taken

X=1296 represent the returned surveys

[tex]\hat p=\frac{1296}{6997}=0.185[/tex] estimated proportion of  returned surveys

[tex]p_o=0.2[/tex] is the value that we want to test

z would represent the statistic (variable of interest)

[tex]p_v[/tex] represent the p value (variable of interest)  

System of hypothesis

We need to conduct a hypothesis in order to test the claim that the true proportion of returned surveys is less than 0.2.:  

Null hypothesis:[tex]p\geq 0.2[/tex]  

Alternative hypothesis:[tex]p < 0.2[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Calculate the statistic  

Since we have all the info required we can replace in formula (1) like this:  

[tex]z=\frac{0.185 -0.2}{\sqrt{\frac{0.2(1-0.2)}{6997}}}=-3.137[/tex]  

Statistical decision  

The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

[tex]p_v =P(z<-3.137)=0.0009[/tex]  

Since the p value is very low we have enough evidence to reject the null hypothesis at the significance lvel given of 0.01 so then we can conclude that the return rate ofr this case is significantly lower than 20%

We formulate a null and alternative hypothesis about the survey return rate. Then, given the returned survey and total survey counts, we calculate a sample proportion, standard deviation, and a z-score. Using this z-score, we compute a p-value, which is checked against the given significance level to make a decision about the hypothesis.

In this scenario, we are interested in whether the cell phone survey return rate is less than 20%. So we can set our null hypothesis (H0) as: The return rate is 20% or more, and our alternative hypothesis (Ha) as: The return rate is less than 20%.

Given that 12961296 surveys were returned out of 6997, we can compute the sample proportion (p). Then, we calculate the standard deviation (sd) of the sampling distribution of the proportion (assuming H0 is true - i.e., the proportion in the population is 20%).

Using this sd and the sample proportion, we can calculate the z-score. The p-value would be the probability of getting a z-score as extreme as what we got, assuming H0 is true. If the p-value is less than the significance level (0.01), we would reject the null hypothesis. If it's higher, we fail to reject the null.

Note: Due to the likely typographical error in the given number of returned surveys, the precise computation cannot be done here.

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Final answer:

Given that △LMN is congruent to △PQR, the true congruency statements are QP≈ML, MN≈QR, ∠M≈∠Q, and ∠R≈∠N.

Explanation:

When two triangles are congruent, it means that they have the exact same size and shape, with corresponding sides and angles that are equal.

Given that △LMN≈△PQR, we can make the following true congruency statements:

The statements ∠L≈∠M and NL≈PQ cannot be true based on the given triangle congruencies because ∠L and ∠M are angles within the same triangle (△LMN), and cannot be congruent to each other; and the side NL is not part of triangle △LMN.

Final answer:

The volume of the pyramid can be found using the formula V = (1/3) * B * h, where B is the area of the base and h is the height of the pyramid. Plugging in the given values, the volume is 60 cubic inches.

Explanation:

To find the volume of a square pyramid, you can use the formula V = (1/3) * B * h, where V represents the volume, B represents the area of the base, and h represents the height of the pyramid.

In this case, the base is a square, so the area of the base is side * side. Since the base edge is 6 inches, the area of the base is 6 * 6 = 36 square inches.

Plugging in the values for B and h into the formula, we get V = (1/3) * 36 * 5 = 60 cubic inches.

Answer:

the ewser is b 3 times as long

Based on the calculations, the perimeter of the base is approximately equal to: D. 30 units.

First of all, we would determine the base area of the right pentagonal prism as follows:

Base area = volume/height

Base area = 840/14

Base area = 60 square units.

Next, we would determine the base edge of this pentagon by using this formula:

[tex]A = \frac{a^2}{4} \sqrt{5(5 \;+\;2\sqrt{5} )} \\\\60 = \frac{a^2}{4} \times 6.88\\\\6.88a^2 = 240\\\\a^2 = 240/6.88\\\\a=\sqrt{34.88}[/tex]

a = 5.91 units.

For the perimeter of the base, we have:

P = 5a

P = 5 × 5.91

P = 29.55 ≈ 30 units.

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Answer:

-750

Step-by-step explanation:

Q(h)=-8h^2-5h ,

Let x = -10

q(-10) = -8 (-10)^2 -5(-10)

          =-8 *100 +50

            =-800+50

            = -750

Answer:

H.

I am just writing this because it says the answer is too short:)

Answer:

[tex]x = 8[/tex]

[tex]b = 70[/tex]

Step-by-step explanation:

[tex]8x + 6 = 4x + 38[/tex]

[tex]4x = 32[/tex]

[tex]x = 8[/tex]

[tex] 4(8) + 38 = 70[/tex]

Given:

The number 12 is the geometric mean between 3 and a number x.

We need to determine the value of x.

Value of x:

Since, we know that the geometric mean is the square root of the product of two numbers.

Hence, we have;

[tex]Geometric \ mean= \sqrt{a \times b}[/tex]

where a and b are two positive numbers.

Substituting Geometric mean = 12, a = 3 and b = x, we get;

[tex]12= \sqrt{3 \times x}[/tex]

Squaring on both sides, we get;

[tex]12^2=3 \times x[/tex]

[tex]144=3\times x[/tex]

Dividing both sides of the equation by 3, we have;

[tex]48=x[/tex]

Thus, the value of x is 48.

Follow the order of PEMDAS:

You would multiply 10x10 first. That would give you 100

Then you would add 100+10. That would give you 110

Your answer would be 110 :)

Answer:

That would be 101 :)

Step-by-step explanation:

Answer:

10 × 5

2 × 25

1 × 50

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

[tex](3x + 50) \degree = (6x - 10) \degree .. (vertical \:\angle s) \\ 3x + 50 = 6x - 10 \\ 3x - 6x = - 10 - 50 \\ - 3x = - 60 \\ x = \frac{ - 60}{ - 3} \\ \huge \red{x = 20}[/tex]

Answer:

x = 20

Step-by-step explanation:

the two angels are congruet meaning they have the same angle

to find x you plug the two equations equal to each other and solve for x

3x + 50 = 6x - 10

subtract 3x by both sides --> 50 = 3x - 10

add 10 to boths sides --> 60 = 3x

now to get x alone divide boyh sides by 3 --> 60/3 = x

x = 20