Ben wants to try a new restaurant for dinner. His online search
resulted in 7 new 3-star restaurants, 5 new 4-star restaurants, and 3
new 5-star restaurants. If he were to choose a restaurant at random,
what is the probability that he chooses a 5-star restaurant?
Select one:
33%
20%
47%
3%

Answer:

X-2=J x 4 = B Two years ago

J + 6 = B now

Step-by-step explanation:

Answer:

(-5, -2)

Step-by-step explanation:

3x+4y=-23

x=3y+1

since we have what x is, we need to subsitute

3( 3y+1) + 4y= -23

no we need to multiply the number inside the parenthesis by 3

9y + 3 + 4y= -23

combine like terms ( add the numbers or variables that look alike)

9y+4y is 13y

13y+3= -23

since we need to get the y alone we need to subtract 3 on both sides since its the opposite of adding

13y+3-3=-23-3

13y= -26

now we divide 13 on both sides to get Y alone

13y/13= -26/13

y= -2

now since we have y we need to substitute it to find x

x= 3y+1

x= 3( -2) +1

now we mutliply 3 with -2

x= -6 +1

x=-5

those are ur answers

y= -2

x= -5

hope this helped:D

Answer:

x = -5

y = -2

Step-by-step explanation:

Answer:

326.60 in²

Step-by-step explanation:

[tex]2 \times 3.14 \times 4(4 + 9) \\ = 2 \times 3.14 \times 4(13) \\ = 2 \times 3.14 \times 52 \\ = 326.56 \: {in}^{2} \\ = 326.60 \: {in}^{2} [/tex]

Answer:

A

Step-by-step explanation:

wednesday thursday and friday amount to 60%

Answer:

2.4

Step-by-step explanation:

Answer:

To convert to a decimal, divide numerator by denominator.

To convert the decimal to a percentage multiply by  

100

%

Explanation:

5

12

=

0.416666

...

...

.

0.41666

...

.

.

×

100

%

=

41.66666

%

...

.

.

Rounding off to nearest percent gives

42

%

Step-by-step explanation:

Answer:

A. (x + 3)² - 2

B. (-3,-2); min

C. x = -3

Step-by-step explanation:

x² + 6x + 7

x² + 2(x)(3) + 3² - 3² + 7

x² + 2(x)(3) + 3² - 9 + 7

(x + 3)² - 2

Vertex: (-3 , -2)

It's a concave up, so minimum

Line of symmetry is x = h

x = -3

Answer:

These are called angel investors.

Step-by-step explanation:

Angel investors are investors that invest at earlier stages of a business. This is though, inherently risky. I hope my answer helps.

Answer:

A B D F

Step-by-step explanation:

just did it

Answer: Is true sometimes.

Step-by-step explanation:

I guess that here we have two matrices, A and B, that are nxn.

We can see that if those matrices can conmutate, then we can try it with some simple matrices.

[tex]A = \left[\begin{array}{ccc}1&0\\0&-1\end{array}\right] . B = \left[\begin{array}{ccc}2&0\\1&1\end{array}\right][/tex]

Here, we would have that:

[tex]AB = \left[\begin{array}{ccc}2&0\\-1&-1\end{array}\right][/tex]

[tex]BA = \left[\begin{array}{ccc}2&0\\1&-1\end{array}\right][/tex]

You can see that AB and BA are different, then the statement is not always true.

But it is true sometimes, if A or B are the identiti, then I*A = A*I, in this case would be true.

It is also true if A and B are diagonal matrices, let's prove it:

[tex]A = \left[\begin{array}{ccc}a&0\\0&b\end{array}\right] , B = \left[\begin{array}{ccc}c&0\\0&d\end{array}\right][/tex]

[tex]AB = \left[\begin{array}{ccc}ac&0\\0&bd\end{array}\right] = BA[/tex]

Answer: (A) Kurt's expression; x = 4.6k

(B) Jared's expression; y = 4.4j

(C) Team's score; z = 4.6k + 4.4j

(D) Team score = 40.6 m

Step-by-step explanation: In order to calculate the average of a given set of data, the formula is to sum up the given data or values and then divide the sum total by the number of values observed. That means, if for instance a student jumps 10 times, his average would be given as the sum of all 10 distances jumped divided by 10. If the sum derived equals 50, then the student's average is 50 divided by 10. In other words;

Average = (∑x)/x

When we cross multiply, this can also result in

Average*x = ∑x

The question has given us the average for both students, hence we can derive their average as described above. If Kurt jumps k number of times, then his average jump will be;

4.6 = (∑k)/k

And remembering that Average*x is the same value as ∑x, we substitute for the value given in the question, which is k. Hence,

4.6*k = ∑k

Note that the total score for each boy can now be determined as the average calculated times the total number of jumps, that is, working backwards. Hence, Kurt's total score is 4.6k.

(a) If we represent Kurt's score as x, then we can express his score as

x = 4.6k ------(1)

(b) If we represent Jared's score as y, then we can express his score as

y = 4.4j ------(2)

(c) The team score is the sum of the scores of both boys. Hence, if the boys scores have been written in terms of x and y then the team score shall be represented by z. Therefore we now have;

z = x + y

z = 4.6k + 4.4j

(d) If Kurt jumps 5 times then his total score will be

x = 4.6k

x = 4.6(5)

x = 23 m

If Jared jumps 4 times then his total score will be

y = 4.4j

y = 4.4(4)

y = 17.6 m

The team score therefore is determined as

z = x + y

z = 23 + 17.6

z = 40.6

The team score is a total of 40.6 m

Answer:

D

Step-by-step explanation:

Upon calculating the volume of the given cylinder and comparing it with each option, it is determined that none of the provided cylinders have the same volume as the cylinder with a height of 32 meters and a diameter of 20 meters.

The question is asking which cylinders have the same volume as a cylinder with a height of 32 meters and a diameter of 20 meters. To find this out, we first calculate the volume of the given cylinder. The formula for the volume of a cylinder is[tex]V = \(\pi r^2h\)[/tex], where V is the volume, [tex]\(r\) i[/tex]s the radius of the base, and h is the height of the cylinder. In this case, the radius (half of the diameter) is 10 meters, so the volume is:

[tex]V = \(\pi (10)^2 \times 32\) = 320\(\pi\) cubic meters.[/tex]

Now, let's check each option:

Therefore, none of the provided options have the same volume as the given cylinder.

The cylinders with heights and diameters of 16 meters and 40 meters, and 128 meters and 10 meters, respectively, have the same volume as the given cylinder.

To find cylinders with the same volume as the given cylinder (height = 32m, diameter = 20m), we calculate its volume and compare it with the volumes of the listed cylinders. Cylinders with heights and diameters of 16 meters and 40 meters, and 128 meters and 10 meters, have the same volume as the given cylinder.

The question involves finding which cylinders have the same volume as a cylinder with a height of 32 meters and a diameter of 20 meters. To solve this, we first calculate the volume of the given cylinder using the formula for the volume of a cylinder, V = πr²h, where r is the radius (half of the diameter) and h is the height.

The volume of the given cylinder is V = π(10²)(32) = 320π cubic meters. We then apply the same formula to each of the listed cylinders, converting dimensions to the same units where necessary, to identify which ones have the same volume.

Therefore, the cylinders with heights and diameters of 16 meters and 40 meters, and 128 meters and 10 meters, respectively, have the same volume as the given cylinder.

Answer:

The answer is 923.6 cm

Answer:

16

Step-by-step explanation:

square root of 16 is 4, and 4^2 = 16

Answer:

16

Step-by-step explanation:

The square cancels out the square root.

Answer:

A. Perpendicular

Step-by-step explanation:

When lines and/or points are in perpendicular to one another, the perpendicularity line between them measures the distance between both points and/or lines.

So to measure the distance between point c and line AB, a perpendicular line has to be drawn from c to AB or from AB to c. Either of these will arrive at the same result.

It should also be noted that the angle at the point of intersection of perpendicular lines is 90°.

Answer:

The answer is D.(y-1)^2/64 - (x-3)^2/64=1

Step-by-step explanation:

I just took that quiz on edge, sorry if im late

Answer:

$85

Step-by-step explanation:

Earning:

Spending:

Amount available for saving:

Answer: $85

Step-by-step explanation: Took the test and got it correct

Answer:x= 65 acute triangle

Step-by-step explanation:

Answer:

Touches only.

Step-by-step explanation:

It only touches the curve at one point. The line is a tangent to the curve and does not cross it.

If you have a ball resting on a table the table is a tangent to the curve of the ball.

Answer:

B      

y=7x +100

Step-by-step explanation:

$100 for one room

1 or more kids

$7 per kid

so, the answer is y= 7x + 100

Answer: About 2.875 times more than a hummingbird

Step-by-step explanation: The way you can solve this problem is just by dividing 82,800 by 28,800. If you want to check your work multiply 28,800 and 2.875.

A bee flaps its wings approximately 3 times faster than a hummingbird.

Bee: 82,800 times/hour ≈ 8.3 × 10^4 times/hour

Hummingbird: 28,800 times/hour ≈ 2.9 × 10^4 times/hour

Now, let's compare the two estimates:

8.3 × 10^4 (bee) is approximately 3 times faster than 2.9 × 10^4 (hummingbird).

So, a bee flaps its wings about 3 times faster than a hummingbird.

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Answer:

35

Step-by-step explanation:

a negative and a negative equals a positive

Answer:

0

Step-by-step explanation:

(x+y)0

(-3+5.-012)0

0

anything times 0 is 0

Answer:

the y- intercept is moved 13 spaces down. this also changes your x-intercept.

Step-by-step explanation:

Answer:

it is moved 13 spaces lower

Answer:

Chicago after 8 hrs it dropped to 8 degrees and at pittsburgh after 8hrs passed it reached to 8degrees outside

so after 8hrs the cities reached the same temperature which is 8degrees

Step-by-step explanation:

10-1=9 then 9-1=8

1= each degree that dropped every 4 hours

A triangle is a three-edged polygon with three vertices. The correct option is A.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.

Since the triangle is a scalene triangle, all the sides of the given polynomial can not be equal. Therefore, it can not be a rhombus or a square.

Also, it is given that the triangle is an obtuse triangle therefore, there will be no angle with a 90° measurement. Thus, it can not be a rectangle.

Hence, the correct option is A.

Learn more about Triangle:

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Answer & Step-by-step explanation:

In order to solve for x, we can use the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

Instead of using the original formula, we will rearrange the formula so we can find the missing side, b, which will represent x.

[tex]b^2=c^2-a^2[/tex]

Now, lets plug in our numbers.

[tex]b^2=120^2-76^2\\b^2=14400-5776\\b^2=8624\\\sqrt{b^2} =\sqrt{8624}\\ b=92.87[/tex]

So, x equals 92.87

Now, lets find y. Since we did the Pythagorean Theorem, this shows that the triangle is a right triangle. So, that means we already know the measurements of two angles which will help us find y.

180 - (35 + 90)

180 - 125

55

So, y equals 55

Answer:

x= 3, y= -1

Step-by-step explanation:

Let's solve your system by substitution.

2x−5y=11 and −2x+3y=−9

Solve x in 2x-5y=11

2x-5y=11 (add 5y to both sides)

2x = 5y + 11 (divide 2 by both sides)

x=5/2y + 11/2

substitute 5/2y+11/2 for x in -2x+3y=-9

-2x+3y=9

-2 (5/2y+11/2)+3y=-9

-2y-11=-9 (simplify both sides)

-2y-11=-9 (add 11 to both sides)

-2y=2 (divide both sides by -2)

y=-1

substitute your y (-1) in x = 5/2y + 11/2

x = 5/2y + 11/2

x=5/2(-1)+11/2

x=3

therefore, y= -1 and x = 3