Hugo and Viviana work in an office with ten other coworkers. Out of these 12 workers, their boss needs to choose a group of four to work together on a project. Suppose Hugo and Viviana absolutely refuse, under any circumstances, to work together. Under this restriction, how many different working groups of four can be formed

Correct principal is $1200.

Answer:

R = 6.736%

Step-by-step explanation:

Formula for simple interest is;

Interest = PRT/100

We are given;

Principal; P = $1200

Time; T = 6 years

Interest; I = $485

Rate; R =?

From, Interest = PRT/100, we have;

485 = 1200 × R × 6/100

Making R the subject gives;

R = 485 × 100/(6 × 1200)

R = 6.736%

Answer:

its 18

I made sure to check

Answer:

Step-by-step explanation:

1) Take sin45

2) sin45= 3√2/ x

3) 3√2/sin45

4) x=6

Where x = hypotenuse

and sin 45 is opposite over adjacent

Answer:

A. subtract 75 from both sides

Answer:

$450

Step-by-step explanation:

First, find an equation that represents the proportional relationship between number of months (x) and amount spent (y).

A proportional equation can be represented in the form, y = kx, where,

k = constant of proportionality = y/x

Using a point on the line, (1, 50),

k = 50/1 = 50.

Substitute k = 50 into y = kx

The equation would be:

y = 50x

After 9 months (x), they would pay the following:

Substitute x = 9 into y = 50x

Thus:

y = 50(9)

y = 450

Answer:

The total interest the account earned was $88.41.

The ending balance in the account is $1,163.41.

The account earned $25.26 in interests in the first year.

Step-by-step explanation:

The simple interest is one that does not accumulate to the initial capital, that is to say that the capital does not accumulate over the years.

Therefore, if Brian deposited $ 1,075 in an account with an interest of 2.35% per year for 3 and a half years, to obtain the total interest generated by the account, the following calculation must be performed:

(1,075 x 2.35 / 100) x 3.5 = X

25.2625 x 3.5 = X

88.41 = X

Thus, the interest generated during the first year was $ 25.26, while the accumulated interest during 3 and a half years was $ 88.41. In turn, since 88.41 + 1,075 equals 1,163.41, that is the resulting amount after the end of the investment.

Answer:

cool

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

keep change flip so 9/10 x 5/2 =45/20 and simplified is 2 1/4

A. because 9×5 =45 and 10×2=20 =45/20 we simplify and 9/4 and still simplify then 2 1/4 is the answer

Answer: 270 students altogether

There are 150 girls.

Answer:

x = 30

Step-by-step explanation:

A triangle's angles add up to 180

Also, angles on a straight line add up to 180

180-100 = 80

80+70=150

180-150=30

Answer:

x = 30

Step-by-step explanation:

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

100° is an exterior angle of the triangle, then

x + 70 = 100 ( subtract 70 from both sides )

x = 30

Answer:

Coordinates of Steve's House are S (3,2)

The required coordinate of the Steves's house is (3,2).

The map below shows the locations of the houses of Maria Reese and Paul, coordinates of Steve's house who lives 2 miles from Paul and 1 mile from Reese is to be determined.

Coordinate, is represented as the values on the x-axis and y-axis of the graph

Here,
Since Steve's house lives 2 miles from Paul's, So the Y coordinate of Steve's house will raise to 2 more than the Y coordinate of Paul, So Y = 0 + 2 = 2
Now, Steve's house lives 1 mile from Reese x coordinate of Steve's house will raise to 1 more than the x coordinate of Reese, So X = 2 + 1 = 3

Thus, the required coordinate of the Steves's house is (3,2).

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Answer:

Charmaine would run 5.6 miles in 64 minutes

Step-by-step explanation:

7*64/80=5.6

I hope this helped you, please mark this as the brainiest. Have a good day/night!

Answer:

12.8

Step-by-step explanation:

13 feet is the length of the other side of the room.

The formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.

Given here, 2inches =5feet thus 1 inch is equivalent to 5/2 feet and let the length of the other side is x

now area of the room is 24.96 inches²

Thus in feet the area is 24.96×(5/2)²=156 feet²

Also 12 × x = 156

             x  = 13 feet

Hence the length of the other side is equal to 13 feet

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Answer:

cos A= 8/17

Step-by-step explanation:

cos theta = adj / hyp

Final [tex]-11m + \frac{23}{5}[/tex]

Steps/Reasons/Explanation:

Question: Solve [tex]5m + 4 - m + \frac{3}{5} - 15[/tex].

Step 1: Collect like terms.

[tex](5m - m - 15m) + (4 + \frac{3}{5})[/tex]

Step 2: Simplify.

[tex]-11m + \frac{23}{5}[/tex]

~I hope I helped you :)~

Answer:

16x²

Step-by-step explanation:

since all sides of a square are equal, we just multiply 4x by 4x. this gives us 16x².

The area of square with side length 4x is 16x.

A square is a two-dimensional closed shape with 4 equal sides and 4 vertices.

Given,

The side length of a square is 4x

We need to find the area of square.

As we know that area of square = 4a.

Where a is the length of side of a square.

In a square all the four sides will have same length.

a=4x

Area of square=4(4x)

=16x

Hence the area of square with side length 4x is 16x.

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HAPPY NEW YEAR:)

not only today

always be fun and creative

Answer:

2000+21=2021

its a very cool thing u got inur mind!!

Answer:

x = 7

Step-by-step explanation:

[tex] - 4x + 2(5x - 6) + 2x = 44[/tex]

[tex] = > - 4x + 10x - 12 + 2x = 44[/tex]

[tex] = > 8x - 12 = 44[/tex]

[tex] = > 8x = 44 + 12 = 56[/tex]

[tex] = > x = \frac{56}{8} = 7[/tex]

Answer:

number one is 90°

Step-by-step explanation:

number 9 is an acute angle

Answer:

1. Perpendicular

2. Complementary

3. A vertex

4. Midpoint

5. Vertical

6. Angle bisector

7. Supplementary

8. Coplanar

9. An acute angle

10. Congruent

Answer:

Option A

Step-by-step explanation:

We know that Mia's frog only jumped [tex]\frac{4}{5}[/tex] the distance of Chloe's frog - which means that Mia's frog must be behind Chloe's frog. Therefore, Mia's frog must also not be in first place.  

We also know that Tony's frog jumped [tex]1\frac{1}{4}[/tex] the distance of Chloe's frog - meaning that Tony's frog jumped further than Chloe's frog, since it is above 1. So, Tony's frog is ahead of Chloe's frog. Therefore, Chloe's frog cannot be in first place either.

Let's look at the clues gathered so far:

Using logic, the only option that meets these requirements would be option A. Tony would be ahead of Chloe, Mia would be behind Chloe, and neither of the girls' frogs would be in first place. You could also use the process of elimination to get rid of the other answers.

Answer:

yes

no

yes

Step-by-step explanation:

The equivalent expression is,

⇒ - 24

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 10 (- 2 2/5)

Now,

Since, The expression is,

⇒ 10 (- 2 2/5)

Solve as;

⇒ 10 × ( - 12/5)

⇒ - 10 × 12/5

⇒ - 2 × 12

⇒ - 24

Thus, The expression is equivalent to - 24.

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Answer:

Slope= 30

Step-by-step explanation:

What does the slope tell me?

It tells me that every time I try to find the slope with different points I get 30 for slope.

Answer:

[tex]x + 1 + \frac{4}{x - 1} [/tex]

Answer: a = 10

Step-by-step explanation:

3/5 = a + 5/25

Multiply both sides by 25 to get rid of it:

3/5 * 25 = 25(a + 5) /25

15 = a + 5

a = 15 - 5

a = 10

x=50  

Step-by-step explanation:

angle 1 and 3 are corresponding angles that menas they equal the same

so set it up like this 2x+10=110 solve for x

move over the 10, subtract 10 from 110 you get 100 and divide by 2

you get 50.

=================================================

Explanation:

Angles 1 and 3 are vertical angles which are congruent.

angle 1 = angle 3

110 = 2x+10

2x+10 = 110

2x = 110-10

2x = 100

x = 100/2

x = 50

Answer:

first quartile c number option is the correct answer