there are 120 calories in 2/3 cup. how many calories are in 1 cup?

Answer:

10x

20

Step-by-step explanation:

expression

10x

for x = 2

10 (2)

20

9514 1404 393

Answer:

  g(x) = f(x -1)

  h(x) = f(x) +4

Step-by-step explanation:

We notice that the output values correspond to the output values of f(x), but the input to f(x) is 1 less than the corresponding input to g(x). For some given value of x, ...

  g(x) = f(x -1)

__

The input values correspond to those for f(x), but the output values are all 4 more than for f(x).

 h(x) = f(x) +4

Step-by-step explanation:

For RIGHT triangles

sinΦ = opposite LEG / hypotenuse

  for this right triangle

    sin 59 = x/17

   then    17 * sin 59   =  x

                  using calculator    x = 14.6   units

Answer:

Find the dimensions of a rectangle given that its perimeter is 116

 cm and its length is 1

 cm more than twice its width.

Set up your solution using the variables L

 for the length, W

 for the width, and P

 for the perimeter. 

Part a: Using the definition of perimeter, what is an equation for P

 in terms of L

 and W

.

Part b: You also have to write an equation for L in terms of W

 in terms of W

.

Solve the equations from parts a and b.

Part c: The length is   cm.

Part d: The width is   cm.

Answer:

P=2L+2W

116=2(1+2w)+2(w)

length= 39 cm

width= 19 cm

Step-by-step explanation:

Perimeter: 116 cm                                            116=2(1+2w)+2(w)

                                                                        116=2+4w+2w

l=1+2w                                                              114=6w

____________                                                w=19

|                        |

|                        | w

|___________|

Answer:

3 X 1/2

Step-by-step explanation:

I started by eliminating C and B because of adding and subtraction in the problem.

Answer:

3 x 1/2

Step-by-step explanation:

there are 3 groups of 1/2

Answer:

3200 of 768 is 416.67%

Step-by-step explanation:

There's your answer hope this helps.

The dimension of the rectangular of a norman window will be 1.6803*3.3606.

What is the area of Rectangle?

In any quadrilateral which have equal and parallel opposite sides is considered to be a rectangle. It is also called as a polygon with four sides and the four angles that are all 90 degrees each. A rectangle is a shape with only two dimensions. The product of the length and the breadth calculates its area. The length of the diagonals of any rectangle are equal in length. Thus, the length of the diagonals can be calculated easily using the Pythagoras theorem where, the diagonal is considered to be the hypotenuse.

Let r represents the radius, and b be the breadth.

Then, perimeter = 3.14*r+2r+2b = 12

For the dimension needed for the most light to enter we need to maximize the area.

Hence, area of the window : area of the semicircle + area of the rectangle

= \(\frac{3.14*r^2}{2} + 2rb\)

= \(12r - (\frac{3.14+4}{2}) r^2\)

A'(r) = 0

Therefore, \(r=\frac{12}{3.14+4}\) which is nearly equal to 1.6803m

From this value of r we can calculate the value of b to be;

b= 1.6803m

Thus, a= 3.606m

Thus the required dimension is : 1.6803*33606

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Answer:

d

Step-by-step explanation:

The required inequality of the solutions of the given equation is (-∞, -6).

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse.

We have;

2w-1 < -13

2w < -13 + 1

2w < - 12

w < -6

Thus, required inequality of the solutions of the given equation is (-∞, -6)

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Answer:

Unit rate = 4.5 mph.

Step-by-step explanation:

Unit rate: 13.5/3

=> Unit rate: 4.5 mph.

Hoped this helped.

Answer:

5 in 8

Step-by-step explanation:

there is a 5 in 8 chance to get a number greater then 3

Answer:

0.65

Step-by-step explanation:

18+8=26 26/40 = 0.65

Answer:

(5, 4)

Step-by-step explanation:

(x + 2, y + 3)

(3  + 2, 1 + 3)

(5, 4)

Answer:

B' (5, 4 )

Step-by-step explanation:

the translation rule (x, y ) → (x + 2, y + 3 )

means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then

B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )

If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.

The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions

For instance, the conversion table shows that 12 inches equal 1 foot.

The length of the fossil = 489.44 inches

12 inches = 1 foot

489.44 inches = 40.8 feet (489.44 ÷ 12)

Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.

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Answer:

x less than or equal to -24

graph attached

Step-by-step explanation:

attached in image

see link in comments

The factored form of the expression is  (x+3) (x-6), which is equivalent to choice C. x-6 , is one of the factors.

To factor a quadratic expression like this, we want to find two numbers that multiply to the constant term (-18) and add up to the coefficient of the x term (-3).

In this case, those numbers are -3 and 6, because (-3) * 6 = -18 and (-3) + 6 = 3.

Then, we can use those numbers to split the middle term into two terms:

x²-3x-18

=x²+3x - 6x-18

=x(x+3) -6(x+3)

=(x+3) (x-6)

So the factored form of the expression is (x+3) (x-6),

which is equivalent to choice C. x-6 , is one of the factors.

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Answer:

16x+8y

Step-by-step explanation:

Let's simplify step-by-step.

3x+8y+13x

Combine Like Terms:

=3x+8y+13x

=(3x+13x)+(8y)

=16x+8y

Answer:

56.7%

Step-by-step explanation:

30-13=17

(on a scientific calculator) 17/30=

0.56666667 x 100= 56.7 (round it up)

you can use this method everytime when trying to find a percantge.

Answer:

He has to pay 14427.21 rupees.

Step-by-step explanation:

1. 13% of 16583 = 2155.79

2. 16583 - 2155.79= 14427.21

3. Has to pay 14,427.21 rupees

9514 1404 393

Answer:

  (a) -7

Step-by-step explanation:

You are given f(x) = -3. Look for -3 in the f(x) column. (You will find it in the first row.)

You want the corresponding value of x. It will be in the first row of the x column. The value there is -7.

The value of x for f(x) = -3 is -7.

Answer:

(1,-8)

Step-by-step explanation:

(-2,3) T<-4,-7> = (-6.-4)

(5,-1) T<-4,-7> = (1,-8)

Answer:

70°

Step-by-step explanation:

n+20=90° [being a right angelled triangle]

or, n=90°-20°

therefore n=70°

I guess this is the answer but please confirm first.

Since the graph was obtained by transforming the graph of the square root function, an equation for the function the graph represent is: \(g(x) = -\sqrt{9(x - 1)} + 2\)

In Mathematics and Geometry, a square root function is a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.

In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical equation g(x) = f(x) + N.

Where:

In this context, the required square root function can be obtained by applying a set of transformations to the parent square root function as follows;

f(x) = √x

g(x) = -√9(x - 1) + 2

\(g(x) = -\sqrt{9(x - 1)} + 2\)

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The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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i can't type because im slow

Hi!

If a recipe needs 1 table spoon of salt, then for the recipe being made 5 times we multiply that by 5.

5 x 1 = 5

Hope that helps! :D

Answer:

2-6

Step-by-step explanation: