A rectangles length is 1.5 times its width. The perimeter of the rectangle is four more than 3 times the length. What are the dimensions of the rectangle

Answer D. 51

Step-by-step explanation:

Sum of the interior angles of a triangle is up to 180

.: 32+(2x-15) + (x-5) = 180

Group like terms

2x+x =180 - 32 + 15 + 5

When - and + sign cross equal sign it turns to the opposite

3x = 168

x= 168/3

.: X =56

Now put x = 56 in (x - 5)

Angle ABC = 51

Answer:

no

Step-by-step explanation:

exclusive pertains to one, hence the phrase, exclusive.

Mutually exclusive events or disjoint events are two events that don’t have anything in common. Nothing in common means NO INTERSECTION.

Answer: No!

Answer:

2.1

Step-by-step explanation:

Mean+z score(Standard deviation)=raw score

Let the z score be z

135+z(30)=198

30z=63

z=2.1

The z-score is a measure of how many standard deviations a score is from the mean. In this case, where the test was designed with a mean of 135 and a standard deviation of 30, a score of 198 results in a z-score of 2.1.

The z-score represents how many standard deviations an element is from the population mean. In this particular case, the results of a standardized test designed with a population mean of 135 and a standard deviation of 30 are given. A subject has a test score of 198.

To calculate the z-score, you use the formula: z = (X - μ) / σ. Where X is the score, μ is the mean, and σ is the standard deviation.

Substitute the given values into the formula:

z = (198 - 135) / 30

z = 2.1

So a test score of 198 would yield a z-score of 2.1.

https://brainly.com/question/33620239

#SPJ11

Answer:

[tex]243[/tex]

Step-by-step explanation:

[tex]3^2*3^3 = 9 * 27[/tex]

[tex]9 * 27 = 243[/tex]

Answer:

243

Step-by-step explanation:

[tex]3^2*3^3[/tex]

To solve your equation, employ the use of PEMDAS.

According to PEMDAS, exponents come before multiplication, so we can simply the 3 squared and the 3 cubed first.

3 squared is the same as 3 x 3, which is 9.

3 cubed is the same as 3 x 3 x 3, which is 27.

Thus, our new equation is

[tex]9*27[/tex]

Simply do the multiplication and you have your simplified answer.

[tex]9*27=243[/tex]

Answer: -79, 21, 46, 80

Step-by-step explanation:

-79, 21, 46, 80

79 is a negative number making it the smallest. After -79 just order the numbers in the consecutive order of how you count.

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

No, it will cause him to exceed 1900.

Step-by-step explanation:

1,500 - 400 = 1,100 (his total after the gym)

1,100 + 1,100 exceeds 1,900. He wants to keep his total below 1,900, so this is not a viable solution.

Answer:

No; 1,100 will cause him to exceed 1,900.

Step-by-step explanation:

The rationale for this problem is basic.

Jace established a diet restricted to 1900kcal.

If he started 1500kcal and burned 400kcal in the gym, Jane's partial jump is 1100 calories.

Thus, it can still eat the total of 1900-100 = 800kcal.

Any value over 800kcal will exceed the tax threshold and will disrupt Jane's results.

Answer:

x = -24

y = 66

Step-by-step explanation:

12x+9y = 102

12x+16y = 432

---------------------

y = 66

4x + (66*3) = 102

198-102 = -96

-96 / 4 = -24

Answer:

solution is [tex](6,10)[/tex]

Step-by-step explanation:

[tex]4x+3y=54[/tex]

[tex]3x+9y=108[/tex]

WE use elimination method to solve for x and y

Multiply the first equation by [tex]-3[/tex]

[tex]-12x-9y=-162[/tex]

[tex]3x+9y=108[/tex]

Now add both the equations, we will get

[tex]-9x=-54[/tex]

Divide by   [tex]-9[/tex] on both sides

[tex]x=6[/tex]

Now we plug in the x value in first equaiton and find out y

[tex]4x+3y=54[/tex]

[tex]4(6)+3y=54[/tex]

[tex]24+3y=54[/tex], subtract 24 on both sides

[tex]3y=30[/tex]

Divide both sides by 3

[tex]y=10[/tex]

So solution is [tex](6,10)[/tex]

Answer:

  Each pizza costs $11 and the delivery fee is $5

Step-by-step explanation:

We assume you want an interpretation of the equation.

The total cost of an order is the sum of any fixed cost (such as a delivery fee) and the variable cost.

Here, the variable cost is the cost of some number of pizzas. It is proportional to the number of pizzas. In the equation, it is represented by 11p, where p is the number of pizzas. The cost of each pizza must be $11, since the cost of p pizzas is 11p.

The equation's two parts are a fixed cost of $5 and a variable cost of $11 per pizza. The best description is ...

  Each pizza costs $11 and the delivery fee is $5

The cost (c) to have any number of pizzas (p) delivered is calculated using the equation c = 11p + 5. This implies that each pizza costs $11 and the delivery fee is $5.

The question involves the concept of linear equations in mathematics. In this particular case, the equation is c = 11p + 5. This equation denotes the cost (c) of pizzas delivered where each pizza prices ($11 each) is multiplied by the number of pizzas (p) and then added to the delivery fee ($5). Therefore, the third option, 'Each pizza costs $11 and the delivery fee is $5' is the correct interpretation of the equation.

To find out the cost of any number of pizzas, you would substitute that number in for 'p' in the equation. For instance, the cost of 5 pizzas would be calculated as 5 * $11 + $5 = $60.

https://brainly.com/question/32634451

#SPJ3

Answer:

88

Step-by-step explanation:

Nine innings have a mean of 58 runs, and the tenth inning will have x runs.  So the overall mean is:

μ = (9×58 + x) / 10

We want the mean to be 61, so:

61 = (9×58 + x) / 10

610 = 522 + x

x = 88

The cricketer must score 88 runs to raise the mean to 61.

Answer:

2.8 (from 2.75 because of rounding)

Step-by-step explanation:

2x = -2x + 11

Add 2x on both sides

4x = 11

Divide 4 on both sides

x = 11/4

x = 2.75

Round to nearest tenth

x is about 2.8

Please mark me for brainliest :D !! Thanks!

Answer:

x = 2.8

Step-by-step explanation:

2x = - 2x + 11                       Add 2x to both sides.

2x+2x = -2x+2x + 11           Combine

4x = 11                                 Divide by 4

4x/4 = 11/4

x = 2 3/4

x = 2.75

Rounded to the 10th place, you would get 2.8

Answer:

Bob, Jill, Betty, Herb, James

Final answer:

A valid seating arrangement for the five friends is either Bob, Betty, Herb, James, Jill, or Jill, James, Herb, Betty, Bob. Each arrangement adheres to all given conditions: Bob is on an aisle, Betty and Herb are seated together, and James is not sitting next to Jill.

Explanation:

To solve the seating problem for the five friends going to the theater, we must adhere to the conditions: Bob must sit on an aisle, James cannot sit next to Jill, and Betty and Herb want to sit next to each other. Bearing in mind that there's an aisle on either side of the row of five seats, we can begin by placing Bob on an aisle seat since he must sit on one. This can either be the first seat on the left or the right. Since James doesn't want to sit next to Jill, we can't place Jill next to Bob if we sit James on the other end to maximize distance between them. Betty and Herb must sit together, which can only happen in the three seats left in the middle.

Here is a seating arrangement that satisfies all conditions: Bob, Betty, Herb, James, Jill. In this arrangement, Bob is on an aisle, Betty and Herb are seated together, and James is not sitting next to Jill.

Alternatively, if we place Bob on the other aisle, we get: Jill, James, Herb, Betty, Bob. Again, all conditions are met. Bob is on an aisle, Betty and Herb are sitting together, and James is not sitting next to Jill.

Answer:

180-65=115

Step-by-step explanation:

Straight line always measures 180 degrees, take 180 and subtract 65 thats your answer.

Answer:

115 dude

Step-by-step explanation:

you just substract 65 with 180 and then you get 115

Answer:

8

Step-by-step explanation:

Because if you do 15•8•8 then it equals 960 and the formula for volume is l•w•h

Answer:

57%

Step-by-step explanation:

From the table you can state that:

Use the definition of the probability

[tex]Pr=\dfrac{\text{The number of favorable outcomes}}{\text{The number of all possible outcomes}}[/tex]

So,

Hence, the probability is

[tex]Pr=\dfrac{6,101}{10,730}\approx 0.5685\approx 57\%[/tex]

These percentiles on small data sets are confusing.  We have 8 data points.  So the median is the average of the 4th and 5th.

The upper quartile, 75th percentile, is between the 6th and 7th data point of the 8.  I calculated its index as (8-1)*.75=6.25.   One definition of upper quartile has us just pick the next one up, 36 here.  Another definition has us interpolate.  Since 6.25 = (3/4) 6 + (1/4) 7 we take (3/4) 33 + (1/4) 36 = 33.75 as a 75th percentile.  It's hard for me to choose without knowing what you were taught.

Answer:551.25

Step-by-step explanation:

500 x .05 =25+500= 525 which is the second concert. Multiply that by .05 which is 26.25, add that to 525 to get 551.25 which is not 650.

Multiply the number of total employees by 85%:

142 x 0.85 = 120.7, round to 121

121 total people need to complete the training.

Now subtract the number of people who already took the training:

121 - 91 = 20

20 more people need to take it.

Let x = legs of right triangle.

The set up would be:

x^2 + x^2 = (hypotenuse)^2

Understand?

To find the legs of a right triangle with only the hypotenuse known, the Pythagorean theorem is used. Without extra information like an angle or one leg length, it's impossible to find the specific leg lengths due to the infinite possibilities of right triangle configurations with the same hypotenuse length.

The question involves finding the lengths of the legs of a right triangle when only the length of the hypotenuse is known. Utilizing the Pythagorean theorem, which states that in a right triangle the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b), expressed as a² + b² = c². To find the lengths of the legs (a and b) given the hypotenuse (c), one needs additional information such as the angle of the triangle or the length of one of the legs.

Without such information, it is not possible to determine the specific lengths of the legs because there are infinitely many right triangles with different sets of leg lengths that could have the same hypotenuse length. Therefore, to address this problem, one might use trigonometry if any angle is known, or apply other relevant context or given data.

Answer:

C

Step-by-step explanation:

Step 1: find BC

Given Triangles ABC and ADE are similar,

[tex]\frac{AB}{AD}[/tex] = [tex]\frac{BC}{DE}[/tex]

BC = [tex]\frac{AB}{AD}[/tex] x DE

= [tex]\frac{8}{8 + 4}[/tex] x 9

= 6 cm

Step 2: use Pythagorean theorem to find AC and / or AE

Consider triangle ABC,

by Pythagorean theorem,

AB² + BC² = AC²

AC² = 6² + 8² = 100

AC = √100 = 10 (answer... we can see that C is the only one with AC=10.

Step 3: Verify.. even though we know that it is C because AC  = 10,  you can verify that the ansewer is correct by finding CE and confirming that CE=5

By using similar triangles ABC and ADE,

AC/AE = AB / AD

AE = AD/AB x AC = 12/8 x 10 = 15

CE = AE - AC = 15 - 10 = 5 (answer confirmed)

Answer:

answer is B just got 100%

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

landing on heads is a 1/2% and landing on a 3 or 4 is a 1/3 then multiply together

Answer:

  your choice is correct

Step-by-step explanation:

In your selected set of boxes, ...

Box 1 has p(A) = 2/6 > p(B) = 1/6

Box 2 contains only B, C, and D.

Box 3 has P(D) = 4/6 = 2*P(C) = 2*2/6

Answer:

  72 turkeys were bought at $5.11 each for a total cost of $367.92.

Step-by-step explanation:

Trial and error isn't so difficult for this problem. The final price will be an even number of cents. Without those pennies added, the price per turkey must be below an integer number of cents, but within 1/8 cent of that integer number.

For higher first digits of the total cost, the per-turkey cost is more than 3 digits.

For our "good candidate", the per-turkey cost will be $5.11, so the total bill will be $5.11×72 = $367.92  . . . .  matches the required digits.

Step-by-step explanation:

4y=6 (first equation)

3x+3y=9(second equation)

we know if a=a, a+x=a+x,ax=ax

now we add 3 times

4y=6(=)12y=18

now add 4 times

12x+12y=36

now we can eliminate the y and will be

12x=18

x=1,5

2x=3

Answer:

11,394  years old

Step-by-step explanation:

The equation looks like this:

[tex]N=N_{0}e^{kt}[/tex]

The only thing left up to us is to decide what value should go in for N.  Since we are told that 32% of the original amount is what the hiker finds, we are operating in percentages.  Before any decomposition took place, the amount of skull was 100%.  Filling in now we have:

[tex]100=32e^{.0001t}[/tex]

Divide both sides by 32 to get

[tex]3.125=e^{.0001t}[/tex]

In order to get that t out of the exponential position that it is currently in, we will take the natural log of both sides, since a natural log "undoes" an e (that is because the base of a natural log is e).  Taking the ln of both sides and utilizing that rule for natural logs and e's gives us:

ln(3.125) = .0001t

Divide both sides by .0001 to get that

t = 11,394 years

Answer:

Step-by-step explanation:

We have the square in the base and four triangles on the lateral surface.

The formula of an area of a square:

[tex]A_{\square}=a^2[/tex]

a - side lenght

We have a = 16. Substitute:

[tex]A_{\square}=16^2=256[/tex]

The formula of an area of a triangle:

[tex]A_{\triangle}=\dfrac{bh}{2}[/tex]

b - base

h - height

We have b = 16 and h = 19. Substitute:

[tex]A_{\triangle}=\dfrac{(16)(19)}{2}=152[/tex]

The Surface Area:

[tex]S.A.=A_{\square}+4_{\triangle}[/tex]

Substitute:

[tex]S.A.=256+4(152)=256+608=864[/tex]

Answer: it C. 864 units²

Step-by-step explanation: I just did it

Answer:

131

Step-by-step explanation:

We need to find the area of the top of the pie that is leftover. To do this, we use the formula for the area of a circle and multiply by 0.65 since that is how much of the pie is left.

A = 0.65π[tex]r^{2}[/tex] = 0.65π[tex]8^{2}[/tex] = 130.69025 [tex]in^{2}[/tex]

If each strip of dough is 1 square inch, the total strips of dough needed is 131.

The total strips of dough needed is 131 if Sherrie is baking a pie for her family. she leaves the room and comes back to 35% of the pie.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

Sherrie is baking a pie for her family. she leaves the room and comes back to 35% of the pie having been eaten before she can put the topping on.

Area of circle:

A = 0.65πr² = 0.65π(8)²

A =  130.69025 square inches ≈ 131 square inches

If each strip of dough is 1 square inch

The total strips of dough needed = 131/1 = 131

Thus, the total strips of dough needed is 131 if Sherrie is baking a pie for her family. she leaves the room and comes back to 35% of the pie.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

Answer:

0.000032,0.00000.64

Step-by-step explanation:

For this case, it can be observed that the sequence is performed by multiplying each term by 0.2:

We have to:

[tex]0.1 * 0.2 = 0.02\\0.02 * 0.2 = 0.004\\0.004 * 0.2 = 0.0008\\0.0008 * 0.2 = 0.00016\\0.00016 * 0.2 = 0.000032\\0.000032 * 0.2 = 0.0000064[/tex]

Answer:

The next terms are:

[tex]0.000032\\0.0000064[/tex]

Answer:

300 people were satisfied

Step-by-step explanation:

If 85% were unsatisfied, we assume the remaining 15% were satisfied. That percentage of 2000 is ...

0.15×2000 = 300

Answer:

300

Step-by-step explanation:

PLATO