Tomas used 3 and one-third cups of flour and now has 1 and two-thirds cups left. Which equation can he use to find f, the number of cups of flour he had to begin with?
f + 3 and one-third = 1 and two-thirds
f minus 3 and one-third = 1 and two-thirds
3 and one-third f = 1 and two-thirds
f divided by 3 and one-third = 1 and two-thirds

Using it's concept, it is found that there is a [tex]\frac{11}{17}[/tex] probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, a total of 1 + 4 + 2 + 0 + 1 + 2 + 2 + 0 + 2 + 3 = 17 students were sampled.

Of those, 1 + 2 + 1 + 2 + 2 = 8 live in on campus housing, and 3 live off campus but are graduate students, hence there are 11 desired outcomes and the probability is given by:

[tex]\frac{11}{17}[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

0.255+45=0.300

or

0.255 - 0.045 = 0.210

Answer:

91kg

Step-by-step explanation:

weight= mass × gravitational force

910kg = m× 10ms^-2

m= 910÷ 10

m= 91

Answer:

B. 120 Degrees

Step-by-step explanation:

We know that the total interior angle of any five sided polygon is 540 Degrees.

The total interior angle of this polygon is

4x + 4x + 4x + 3x + 3x = 18x 540 = 18x

Divide by the lowest ratio 540/18 = 30

30 = x

C = 4x

4X30 = 120

C = 120 Degrees

Answer:

A is 6

B is 9.4

Step-by-step explanation:

First you put the numbers in order. then you take the middle number of the data set. This is how you find the median. For the mean you add all of the number in the data set then divide by how many numbers are there

Hope this helps. Good luck

Answer:

x=1, y=4

Step-by-step explanation:

sub y=4x into second equation

4x + x=5

5x=5

x=1

now sub x=1 into the first equation

y = 4 x 1

y=4

Answer:

17°

Step-by-step explanation:

First, see what's the angle of "AOC"

Here, it's 90° (since it shows the Box at the bottom of the angle instead of a semicircle.

Now, lets subtract 90 by 73

that will be 17

so hence, the value of X is 17°

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If you see someone without a simle, give them one of yours!

Thanks!

Have a great day!

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g(f(x)) = x

What is inverse function?

An inverse function is defined as a function, which can reverse into another function.

[tex]f(x)= \frac{(x + 5)}{(2x + 1)}[/tex]

[tex]g(x)= \frac{(5 - x)}{(2x - 1)}[/tex]

 [tex]g(f(x))=g( \frac{(x+5)}{(2x +1)})[/tex]

Substitute the value of f(x),

[tex]g(f(x))= \frac{(5 - \frac{(x + 5)}{(2x + 1)})}{(2 \frac{(x + 5)}{(2x + 1)} - 1)}[/tex]

[tex]g(f(x))= \frac{\frac{10x+5-x-5}{2x+1} }{ \frac{2x+10-2x-1}{2x+1}}[/tex]

[tex]g(f(x)) = \frac{9x}{9}[/tex]

g(f(x)) = x

Hence, g(f(x)) = x

Learn more about inverse function

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Hey there!

Answer: 25%

[tex] \rightarrow \: (\sf{ \frac{250}{1000} ) \times 100}[/tex]

[tex] \rightarrow \: ( \sf{0.25) \times 100}[/tex]

[tex] \rightarrow \: \sf{ = 25\%}[/tex]

Answer:

25%

Step-by-step explanation:

the quantities must have the same units

1 Kg = 1000 grams

express the quantities as a fraction and multiply by 100%

[tex]\frac{250}{1000}[/tex] × 100% = 0.25 × 100% = 25%

Answer:

Step-by-step explanation:

Given:

To Find:

Solution:

Let's assume Width of rectangle be x feet and length be 2 +x. to Find the are of the rectangle firstly we need to the length and width of the Rectangle:

Using formula:

→ 32 = 2(x + 2 + x)

→ 32 = 2(2x + 2)

→ 32 = 4x + 4

→ 32 - 4 = 4x

→ 28 = 4x

→ 28/4 = x

→ 7 = x

Hence,

Now,

→ Area of rectangle = Length × Width

→ Area fo rectangle = 9 × 7

→ Area of rectangle = 63 feet²

Answer:

⠀

Step-by-step explanation:

⠀

⠀

So, let us assume the width of the rectangle as w ft and therefore the length will (w + 2) ft .

⠀

Now,

⠀

[tex]{\longrightarrow \qquad{ {{\boldsymbol {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm{2(w + 2 + {w})= 32 \ }}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm 2({2w + 2= 32 ) }}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm{4w +4= 32 \ }}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm{4w = 28\ }}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm{w = \dfrac{28}{4} }}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ \mathfrak{{\pmb{w = 7 }}}}}[/tex]

⠀

⠀

Now, We are to find the length of the rectangle:

[tex]{\longrightarrow \qquad{ {{\rm{Length = w + 2 }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ {{ \rm{Length = 7 + 2 }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ { \frak{ \pmb{Length = 9}}}}}[/tex]

⠀

Now, we are to find the area of the rectangle :

⠀

[tex]{\longrightarrow \qquad{ {{\boldsymbol{ Area_{(Rectangle)} = Length \times Breadth }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ {{ \rm{ Area_{(Rectangle)} = 9 \times 7 }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ { \pmb{\boldsymbol{ Area_{(Rectangle)} = 63 }}}}}[/tex]

⠀

Therefore,

⠀

Check the picture below.

[tex]\textit{Sum and Difference Identities} \\\\ sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(255^o)\implies sin(135^o+120^o) \\\\\\ sin(135^o)cos(120^o)~~ + ~~cos(135^o)sin(120^o) \\\\\\ \left( \cfrac{\sqrt{2}}{2} \right)\left( -\cfrac{1}{2} \right)~~ + ~~\left( -\cfrac{\sqrt{2}}{2} \right)\left( \cfrac{\sqrt{3}}{2} \right)\implies -\cfrac{\sqrt{2}}{4}~~ - ~~\cfrac{\sqrt{6}}{4}\implies \cfrac{-2-\sqrt{6}}{4}[/tex]

Answer:

n=1

Step-by-step explanation:

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Answers:

jamal has 30 stickers in total.

chris has 7 stamps in each group.

Step-by-step explanation:

1. use multiplication, 6*5=30

2. use division, 56/8=7

hope this helped! ♡

Answer:

jamal has 30 stickers in total.

chris has 7 stamps in each group.

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

x²+x²=(8 root2)²

2x²=128

÷2 on both sides

=x²=64

square root each side

so x=8

Apply Pythagorean theorem

Answer:

two

Step-by-step explanation:

the two "words" Bob can make using the three letters t, o, and a are;

oat and tao

hope this helps

[tex]x^2+2x-3=0\\\\\implies x^2 +3x -x -3 =0\\\\\implies x(x+3) -(x+3)=0\\\\\implies (x-1)(x+3)=0\\\\\implies x =1 ~ \text{or}~ x = -3[/tex]

Answer:

x^3+5x^2+16x+80

Step-by-step explanation:

You know that you can write your polynom this way : (x-r1)(x-r2)(x-r3) with r1,r2 and r3 the roots so you get :

(x+5)(x+4i)(x-4i)

Simplify (x+4i)(x-4i) with the formula (a-b)(a+b)=a²-b²

so you have (x^2+16)=(x+4i)(x-4i)

Your polynom looks like this :

(x^2+16)(x+5) just expand it

and you get x^3+5x^2+16x+80

[tex]======================================[/tex]

In order to solve this equation, we should first subtract 3 from both sides:

[tex]\pmb{2x=12-3}[/tex]

Which equals

[tex]\pmb{2x=9}[/tex]

Divide both sides by 2

[tex]\pmb{x=\displaystyle\frac{9}{2} }[/tex]

[tex]======================================[/tex]

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

If you are trying to find slope this is how you solve it.

Step-by-step explanation:

2x+3=12

-2x       -2x

3=-2x+12

÷3  ÷3   ÷3

y=-2/3x+4

So if you are trying to find the slope it is -2/3x and the y intercept is 4.

Answer:

6 x 8 = 48

Step-by-step explanation:

Answer:

2 and 6

Step-by-step explanation:

Angle A = 137

Angle B = 93

what is a quadrialateral?

A quadrilateral is four sided polygon. squares and rectangles are more common examples of a quadrilateral. Each quadrilateral has it's unique features however generally the sum of angles of a quadrilteral is 360

Introducing angle C such that

A + C = 180 (angle on a straight line)

C + 47 + 90 = 180 (sum of angles of a trianlge)

C = 180 - 90 - 47

C = 43

hence

A + 43 = 180

A = 180 - 43

A = 137                  

A + B + 90 + 40 = 360 (sum of angles of a quadrilateral )

37 + B + 90 + 40 = 360

B  = 360 - ( 137 + 90 + 40 )

B = 93

Read more on quadrilaterals here: https://brainly.com/question/16691874

Answer:

MQ = 16.4

By the Parallelogram Diagonals Theorem , MP = PQ

So MQ = 2 · MP

Step-by-step explanation:

Parallelogram Diagonals Theorem

The diagonals of a parallelogram bisect each other, i.e. they divide each other into two equal parts.

P is the point of intersection of the diagonals.

Therefore, MP = PQ and LP = PN

If MP = 8.2, then PQ = 8.2

⇒ MQ = 8.2 + 8.2 = 16.4

Answer:

551 calories

Step-by-step explanation:

Given the number of calories in each part of his food you can add:
300 + 101 +150
to equal the total amount of calories in his food, which would be:
551 calories
In conclusion, there would be a total of 551 calories if Alan's kid's meal.


Have a great rest of your day
#TheWizzer

Answer:

A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true. The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column.

Answer:

Yes, it is a right triangle.

Step-by-step explanation:

Answer:

Yes, this is a right triangle.

Step-by-step explanation:

For this, you would use the Pythagorean theorem a^2 + b^2=c^2

Here we have 2^2+2.1^2=2.9^2

So we must check to see if that checks out.  What we find is that both sides are equal to 8.41 which means we have a right triangle.

Answer:

108

9×12

Step-by-step explanation:

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