Question
While Mike was visiting his sister in Arlington, he bought an aquarium that was marked down 60% from an original price of $100. If the sales tax in Arlington is 5%, what was the total cost of the aquarium?

Answer:

I see that you have two of your answers correct but I think your second one would be...

Step-by-step explanation:

All you need to do is divide cost by mile since they already factored in the additional $3 for you.

1. 8/5 = $1.60

2. 11/8 = $1.375 = $1.38

3. 23/20 = $1.15

Answer:

∠ 4 = 130°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 4 is an exterior angle of the triangle , so

∠ 4 = ∠ 1 + ∠ 2 ( substitute values )

11x + 9 = 6x + 6 + 4x + 14 , that is

11x + 9 = 10x + 20 ( subtract 10x from both sides )

x + 9 = 20 ( subtract 9 from both sides )

x = 11

Then

∠ 4 = 11x + 9 = 11(11) + 9 = 121 + 9 = 130°

your friend may have only calculated ∠ 1

∠ 1 = 6x + 6 = 6(11) + 6 = 66 + 6 = 72°

Answer:

B. translation, then reflection.

Step-by-step explanation:

translation means moving the shape without flipping or rotating it.

reflection means flipping it like in a mirror

Here , we are given with a circle on cartesian plane , and we need to find the equation of the circle , We are also given that it's centre is at (5,-6) { From graph } and it's radius is 3 units . Now , as we know, the standard equation of a circle is [tex]{\bf (x-h)^{2}+(y-k)^{2}=r^{2}}[/tex] where (h,k) is the centre of the circle and radius is r . Now , our equation will be ;

[tex]{:\implies \quad \sf (x-5)^{2}+\{y-(-6)\}^{2}=3^{2}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{(x-5)^{2}+(y+6)^{2}=9}}}[/tex]

This is the required equation of Circle

Or if you want to proceed it further , then you will get x² + y² - 10x + 12y + 50 = 0

Answer:

for better help with this question what exactly are we trying to find?

Answer:

3 loaves of bread

Step-by-step explanation:

2/3*3=6/3= 2 cups of oil

Answer:

approximately 1 1/2 cups of sugar

Step-by-step explanation:

6 1/2 divided by the 4 gallons is the easiest way to get your answer

Answer:

i would say a rhombus because i drew it on a coordinate plae and thats wut it looked like

Step-by-step explanation:

Answer: b because if she is building a fence it will be a rectangle type of shape

Step-by-step explanation: (-16,1),(-6,5),(4,1), and (-6,3)

Answer:

Step-by-step explanation:

We can do this  a couple of ways. We can graph it -- see below. Or we can do the math.

Math

y = x^2 - 2x - 15

This trinomial factors into

y = (x - 5)(x + 3)

from which

x - 5= 0

x = 5

and

x + 3 = 0

x = - 3

The y intercept is the value obtained when all the xs on the right = 0

y = 0^2 - 2*0 - 15

y = - 15

Answer

The graph is below.

1. K(x) = (3x)2 -x + 2 -x + 1

k(x) = g(x) ∘ h(x)

2. K(x) = 2 ^3x + 2

k(x) = g(x) × h(x)

3. K(x) = 2^x - 3x - 2

k(x) = h(x) ÷ g(x))

4. K(x) = 3(2 x) + 2

k(x) = h(x) ∘ g(x)

5. K(x) = 2^x + 3x + 2

k(x) = g(x) - h(x)

6. K(x) = 2^x(3x + 2)

k(x) = g(x) + h(x)

Answer:

10.72

Step-by-step explanation:

a²+b²=c²

->

25²-16²= y²

625-256=y²

V369=y

y≈ 19.21

x²= 22²-y²

x²= 484-369

x= V115

x≈ 10.72

By using Pythagoras theorem the value of x is, 10.7 units

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The figure is shown.

Let the unknown side = y

Now, For upper triangle, we can use Pythagoras theorem as;

⇒ 25² = y² + 16²

⇒ 625 = y² + 256

⇒ y² = 369

⇒ y = √369

⇒ y = 19.2

Hence, The value of x is find as by using Pythagoras theorem as;

⇒ 19.2² + x² = 22²

⇒ 368.6 + x² = 484

⇒ x² = 484 - 368.6

⇒ x² = 115.4

⇒ x = √115.4

⇒ x = 10.7 units

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Answer:

11 * 5 = 55

Step-by-step explanation:

The factors are 5 and 11?

Answer:

the answer should be 49,773.3 $

Step-by-step explanation:

Cost of a gallon of gas=3829.10 $

Cost of 13 gallons =?

Cost of 13 gallons of gas ⛽=3829.10$ * 13

=49773.3 $

THEREFORE:The cost of 13 gallons of gas is= 49773.3 $

thank you

Answer:

x = 7

Step-by-step explanation:

The dashes on the lines show they are equal in length.

Therefore, by inspection of the diagram, we can see that the measures of the sides of the smaller triangle (with base 5x) are half the measures of the sides of the larger triangle (with base 70).

Therefore, creating an equation with this information:

    5x = 1/2 x 70

⇒ 5x = 35

⇒ x = 7

Solution:

Note that:

This means that...

Simplify the equation and solve for x.

The value of x is 7.

Answer:

11 and 12

Step-by-step explanation:

If you mean between which consecutive integers does [tex]\sqrt{125}[/tex] lie....

Find the square numbers either side of 125:   121 and 144.

Therefore, the consecutive integers between which  [tex]\sqrt{125}[/tex] lies are:

√121 and √144 ⇒ 11 and 12

Probability of an event is the measure of its chance of occurrence. The event out of the listed events whose probability is 0.2957 is given by : Option C: [tex]P(0.25 \leq Z \leq 1.25)[/tex]

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z-score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p-value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

Using the z-table, we get the needed probabilities as:

Case 1:

[tex]P(-1.25 \leq Z \leq 0.25) = P(Z \leq 0.25) - P(Z \leq -1.25) \approx 0.5987 - 0.1056 = 0.4931[/tex]

Case 2:

[tex]P(-1.25 \leq Z \leq 0.75) = P(Z \leq 0.75) - P(Z \leq -1.25) \approx 0.7734- 0.1056=0.6678[/tex]

Case 3:

[tex]P(0.25 \leq Z \leq 1.25) = P(Z \leq 1.25) - P(Z \leq 0.25) \approx 0.8944 - 0.5987=0.2957[/tex]

Case 4:

[tex]P(0.75 \leq Z \leq 1.25) = P(Z \leq 1.25) - P(Z \leq 0.75) \approx 0.8944 - 0.7734 =0.1210[/tex]

Thus, the event out of the listed events whose probability is 0.2957 is given by : Option C: [tex]P(0.25 \leq Z \leq 1.25)[/tex]

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The best approximation for the area of the circle which has the 6 cm long radius is 113 ft². Option 4 is correct.  

The area of the circle is the space occupied by that circle in 2 dimensional plane or space. It can be given as,

[tex]A=\pi r^2[/tex]

Here, (r) is the radius of the circle.

The image of the circle is attached below. In the given figure the center of the circle is O and the radius of the circle is 6 cm.

Thus the area of this circle can be find out using the above formula as,

[tex]A=\pi (6)^2\\A=3.14\times6^2\\A=113.04\\A\approx113\rm ft^2[/tex]

Thus, the best approximation for the area of the circle which has the 6 cm long radius is 113 ft². Option 4 is correct.  

Learn more about the area of the circle here;

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Answer:

C. 11/20

Step-by-step explanation:

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Answer:

  (a)  (3x +1)(x +1)

Step-by-step explanation:

The values of the factors are represented by the horizontal and vertical dimensions of the area. In each direction, we have a "blue" dimension, and a "red" dimension.

Horizontally, we have a dimension of (3 × blue + 1 × red).

Vertically, we have a dimension of (1 × blue + 1 × red).

We can assign blue = 1, red = x, and we would have (3 +x)(1 +x). This does not match any answer choices.

We can also assign blue = x, red = 1, and we would have (3x +1)(x +1). This matches the first answer choice.

The product which is represented by the algebra tiles is (a)  (3x +1)(x +1)

This refers to the branch of mathematics where letters and symbols are used to represent numbers.

Hence, we can see that from the given image, there are different values which shows the horizontal and vertical dimensions of the area and from the:

Hence, if we represent the values of blue = 1, red = 1, then it would produce (3x +1)(x +1) and this is the correct answer.

Read more about algebra here:
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Answer:

Given:-

Volume=lwh

[tex] = \displaystyle{2 \frac{1}{2}m \times 4 m \times 2 \frac{1}{4} m}[/tex]

[tex]= \displaystyle{ \frac{5}{2}m \times 4m \times \frac{9}{4} m }[/tex]

[tex] = \displaystyle{ } \frac{180 }{8} {m}^{3} [/tex]

[tex]= \displaystyle{ 22 \frac{4}{8} {m}^{3} }[/tex]

Answer:

I believe the answer is IQR

Step-by-step explanation:

Awnser: I don't think you can try asking a parent or teahcer

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

16,16,17,17,17,17,18,18,19

You first have to arrange the numbers if it's even, divide by two and if it's odd and the answer is always a whole number.

The way that the correlation will be affected if the units are changed from minutes to seconds is that the correlation will still be the same.

Correlation simply means a statistical measure which expresses the extent to which two variables are linearly related.

From the information, it was stated that twenty-five trials are completed and the correlation coefficient between typing speed and time is determined to be -0.622.

In this case, even when the units for time are changed from minutes to seconds, the correlation won't change. This is because the change in units has no effect on the correlation.

Learn more about correlation on:

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Answer:

The correlation would stay the same because the change in units for time would have no effect on it.

Step-by-step explanation:

Answer:

the answer of cosc= 8/17

Answer:

apples= 15

oranges = 12

Step-by-step explanation:

5+4=9

27/9=3

therefore

apples=3*5=15

oranges=4*3=12

Answer:

94

Step-by-step explanation:

first solve for x:

3x+22+3x+14= 180

6x+36= 180

6x= 144

x= 24

next fill the equation for angle 4 back in with x and solve:

3(24)+22= 94

Answer:

175

Step-by-step explanation:

280/40 =7

25x7 = 175

               another method

40/25= 1.6

280/1.6 = 175