51 and 53 HELP PLS!!!!!!!

Answer:Complementary angles are two angles whose sum is 90 degrees.

Let x represent one of the angles.

The other angle which is 84.2 degrees less would be x - 84.2.

Using this, we can write an equation.

x + (x-84.2) = 90.

Combine like terms:   2x - 84.2 = 90

Add 84.2 to both sides of the equation.

2x = 174.2

Divide by 2:  x = 87.1  

and x - 84.2 would equal 2.9.       to check: does  87.1 + 2.9 = 90?  yes.

Step-by-step explanation: Thats as close as its gonna it i think

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Let S = strawberry count

Chocolate = 1/4 * 80 = 20

Vanilla = 1/5 * 80 = 16

Total = C + V + S

80 = 20 + 16 + S

80 - 20 - 16 = S = 44

Answer:

3. 72

4. 48

5. 56

6. 18

7. 45

8. 48

9. 9

10. 6

11. 11

12. 10

13. 7

14. 5

Answer:

The temperature was 80 degrees and it dropped 10 degrees. What is the temperature now?

80 - 10 = 70 degrees

Step-by-step explanation:

9514 1404 393

Answer:

  a) J(K(x)) = x; K(J(x)) = x; functions are inverses

  b) f(g(x)) = 8 -x; g(f(x)) = -x; functions are not inverses

  c) f(x) = 4 -x; f^-1(x) = 4 -x. g(x) = x -4; g^-1(x) = x +4

Step-by-step explanation:

a) Substitute for the function argument in the usual way. If the functions are inverses, their composite is the identity function.

  J(K(x)) = J(1/3x -2) = 3(1/3x -2) +6 = x -6 +6 = x . . . . functions are inverses

  K(J(x)) = K(3x +6) = 1/3(3x +6) -2 = x +2 -2 = x . . . . functions are inverses

__

b) f(g(x)) = f(x -4) = 4 -(x -4) = 4 -x +4 = 8 -x . . . . functions are not inverses

  g(f(x)) = g(4 -x) = (4 -x) -4 = -x . . . . functions are not inverses

__

c) To find the inverse function for y = f(x), solve x = f(y).

The inverse of f(x) = 4 -x is ...

  x = f(y) = 4 -y

  y = 4 -x . . . . . add y-x to both sides

  f^-1(x) = 4 -x

and for g(x) = x -4, the inverse is ...

  x = g(y) = y -4

  x +4 = y

  g^-1(x) = x +4

Answer:

(1,3)

Step-by-step explanation:

3 > -2(1)+ 3 < 4

3 > -2 + 3 < 4

3 > 1 < 4

Answer:3

Step-by-step explanation: 23.09 * 0.13 =3 rounded up

Answer:

k calculate it how u see it

Answer:

The second and third boxes. m=-10/4 & -5/2 & the last one

Step-by-step explanation:

We know the answer is negative so we need to add a larger number to get the 3/4 to the negatives. 3-10= -7, so -10/4 and -5/2 is equal to -10/4

Answer:

The second one m= -10/4, the third one m= -5/2, and the last one -5/4+m= -15/4

Step-by-step explanation:

You find m by solving -7/4 - 3/4 = m. Thats the second option -10/4.

When you simplify, you get -5/2, the third option.

Finally, -5/4+m= -15/4 is equal to -15/4 -(-5/4)=m. Subract and you get -10/4. That makes the original equation equal to the last option.

Answer:

-18

Step-by-step explanation:

9 x -2 = -18

You multiply like normal and then for the answer just add a neg sign if there is an ODD amount of neg signs in the overall problem and then add no neg sigh if there are an EVEN number of neg signs (they cancel out),...

Hope it helps,... Chow,...!

Answer:

Step-by-step explanation:

See the picture below

Answer:

[tex]\boxed {\boxed {\sf ( - \frac{9}{2}, -1) \ or \ (-4.5, -1) }}[/tex]

Step-by-step explanation:

We are asked to find the midpoint of a line segment. When you find the midpoint, you essentially find the average of the x-coordinates and the y-coordinates. The midpoint formula is:

[tex](\frac {x_2+x_1)}{2}, \frac{y_2+y_1}{2})[/tex]

In this formula, (x₁, y₁) and (x₂, y₂) are the endpoints of the line segment. we are given the endpoints R (-6, 1) and S (-3, -3). If we match the value and the corresponding variable we see that:

Substitute the values into the formula.

[tex]( \frac{-3 + -6}{2} , \frac{ 1+ -3}{2} )[/tex]

Solve the numerators.

[tex](\frac {-9}{2}, \frac {-2}{2})[/tex]

Divide.

[tex]( - \frac {9}{2}, -1})[/tex]

The fraction can also be written as a decimal.

[tex](-4.5 , -1)[/tex]

The midpoint of the line segment RS is (-9/2, -1) or (-4.5, -1).

All the elements of the given set {2,4,8,...,256} are - {2, 4, 8, 16, 32,64, 128, 256} that are total 8 in numbers.

The set is formed by the number of objects in a particular manner, these objects are called elements of the set. The elements of the set are written inside a curly bracket separated by a comma in a particular or specific order.

There are two methods to represent the set and its elements that are:

in this case, {[tex]2^{1},2^{2},2^{3},2^{4},2^{5},2^{6},2^{7},2^8[/tex]} as we know,

so the set notation would be :

= {x:x = [tex]2^{n}[/tex], n∈N and 1 ≤ n ≤ 8}

The listing method:  {2, 4, 8, 16, 32,64, 128, 256}\

Thus, the above mention set is all the elements of the set.

Learn more about set notation:

https://brainly.com/question/24239496

     We can solve this problem by using the fact that speed of typing is defined as the words typed in unit time.

Dana will type [tex]2.6\times 10^5[/tex] words in 48.15 hours.

It's given in the question,

Since, 1 minute = [tex]\frac{1}{60}[/tex] hours

Therefore, number of words she can type = [tex]\frac{90}{\frac{1}{60}}[/tex]

                                                                      = 90×60

                                                                      = 5400 words per hour

Number of words Dana types with the given speed in 'x' hours = Speed of typing × Time

= [tex]5400\times x[/tex]

Therefore, [tex]5400\times x =2.6\times 10^5[/tex]

[tex]5400x=260000[/tex]

[tex]x=\frac{260000}{5400}[/tex]

[tex]x=48.15[/tex] hours

               Therefore, Dana types [tex]2.6\times 10^5[/tex] words in 48.15 hours.

Learn more,

https://brainly.com/question/621754

Answer:

D. none

Step-by-step explanation:

to figure out if the point is on the graph, take the x value and plug it in to the x coordinate, do the same for y. if the values truly add up to 2, then it is on the graph. Since none of the values add up to 2, they are not on the graph.

9514 1404 393

Answer:

  t(n) = -n^2 -n +102

Step-by-step explanation:

We can use the first 3 terms to find a, b, c.

  a(1)^2 +b(1) +c = 100

  a(2)^2 +b(2) +c = 96

  a(3)^2 +b(3) +c = 90

Subtract the first equation from the other two:

  3a +b = -4 . . . . . . [eq4]

  8a +2b = -10 . . . . [eq5]

[eq5] can be reduced to

  4a +b = -5 . . . . . . [eq6]

Subtracting [eq4] from [eq6] gives ...

  (4a +b) -(3a +b) = (-5) -(-4)

  a = -1 . . . . . . . . simplify

Filling that into [eq4], we get

  3(-1) +b = -4

  b = -1 . . . . . . . add 3

Putting the values for 'a' and 'b' into the first equation gives ...

  -1 +-1 +c = 100

  c = 102

Then the n-th term t(n) of the sequence is ...

  t(n) = -n^2 -n +102

_____

Additional comment

As you might guess, there is a generic solution for quadratic sequences. In terms of the first term (a1), first first difference (d1), and second difference (d2), the coefficients can be written as ...

This sequence has first differences of -4, -6, -8, -10, and second differences of -2. Putting the sequence values into the above formulas, we find ...

Answer:

The least possible amount of saving they could each have is 36$

Step-by-step explanation:

12+12+12 = 36

9+9+9+9=36

Answer:

Step-by-step explanation:

ten students are chosen from a statistics class of 300 let x be the number who got an a in the class

Answer:

Ray EA & Ray EC

(last one)

Step-by-step explanation:

Opposite rays make a 180 degree line.

For naming it, always start with the endpoint and then to the arrow.

Answer:

10.1

Step-by-step explanation:

I just put in a calculator and got the answer.

Answer: Hello There!................

x=-3.5

Step-by-step explanation:

Mark me brainest please. Hope this helps. Anna ♥

Answer:

$1,856.25

Explanation:

To find the square yards, multiply length and width

7.5 * 5 = 37.5

Then, since each square yard costs $49.50, multiply the square yards and the cost

37.5 * 49.50 = 1,856.25

Thus the answer is $1,856.25

The carpet for the room will cost $1,856.25.

This is the product of the unit cost per square yard multiplied by the area of the room.

The area of the room is = 37.5 square yards (Length x Width)

Length of the room = 7.5 yards

Width of the room = 5 yards

Therefore, the total area of the room = 37.5 square yards (7.5 x 5)

Thus, the total area of the room is 37.5 square yards and since each square yard costs $49.50, the total cost for buying the carpet will cost $1,856.25 ($49.50 x 37.5).

Learn more about area of a space at https://brainly.com/question/16758524

Answer:

0.4583

Hope it helps you!!

Answer:

600,000+80,000+700+5

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