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babymother [125]
3 years ago
8

Liam had $250. Then, he and his classmates bought a present for their teacher, evenly splitting the $120 among the e of them. Ho

w much money does Liam have left? Write your answer as an expression.
Mathematics
2 answers:
Gemiola [76]3 years ago
7 0
Liam Splits $40 With The 3 Of Them Out Of $120 And Liam Has 130 Because 250-120=130
garri49 [273]3 years ago
7 0

Answer:

250-\frac{120}{e}

Step-by-step explanation:

We have been given that Liam and his classmates bought a present for their teacher, evenly splitting the $120 among the 'e' of them.

This means that number of all students is 'e'. To find the cost of present for each student, we will divide 120 by e.

\text{Cost of present for each student}=\frac{120}{e}

Since Liam had $250, so we need to subtract \frac{120}{e} from 250 to get amount Liam has left:

\text{Amount Liam has left}=250-\frac{120}{e}

Therefore, our required expression would be 250-\frac{120}{e}.

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the length and width of a rectangle are consecutive even integers. the area of the rectangle is 80 square units. what are the le
nadya68 [22]
X(x + 2) = 120sq units 

<span>Set it equal to 0 </span>
<span>x^2 + 2x - 120 = 0 </span>

<span>factor </span>
<span>(x + 12)(x - 10) </span>

<span>For the shorter side: </span>
<span>x - 10 = 0 </span>
<span>x = 10 </span>

<span>Now that you have x, solve for the longer side which we said was represented by </span>
<span>x + 2 </span>
<span>10 + 2 = 12 </span>

<span>Proof </span>
<span>A = L x W </span>
<span>120 = 10 x 12 </span>
<span>120 = 120 </span>
<span>true </span>

<span>Our length is 12 and our width is 10</span>
7 0
3 years ago
Selecting an Instructor At a convention there are 7 mathematics instructors, 5 computer science instructors, 3 statistics instru
LiRa [457]

Answer:

11/19

Step-by-step explanation:

Firstly, we need to know the total number of instructors. This is equal to 7+5+4+3 = 19 instructors.

The probability of selecting a science instructor is 4/19

The probability of selecting a math instructor is 7/19

The probability of selecting either a science or a maths instructor is 4/19 + 7/19 = 11/19

4 0
4 years ago
What is the surface area of the pyramid formed from the net shown here? The triangles are equilateral, and each triangle has a h
azamat

Answer:

62.4 square centimeters

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The surface area of the triangular pyramid is equal to the area of the triangular base plus the area of its three lateral triangular faces

In this problem the triangles are equilateral, that means, the

surface area is equal to the area of four congruent equilateral triangles

so

A=4[\frac{1}{2}(b)(h)]

we have

b=6\ cm\\h=5.2\ cm

substitute

A=4[\frac{1}{2}(6)(5.2)]=62.4\ cm^2

3 0
3 years ago
Eva bought 3 rainbow trout for dinner. They weighed 3 Ib 5 oz, 2 Ib 12 oz, and 3 Ib 8 oz. She cut off the heads and the tails an
Y_Kistochka [10]

The amount of waste is 22 oz

<h3>How to determine the waste amount?</h3>

The weights of the 3 rainbow trouts are:

3 Ib 5 oz, 2 Ib 12 oz, and 3 Ib 8 oz.

The total weight is:

Total = 3 Ib 5 oz + 2 Ib 12 oz + 3 Ib 8 oz

Evaluate the sum

Total = 8 Ib 25 oz

The amount she was left with is 8 Ib 2 oz

Subtract this amount from the total

Waste = 8 Ib 25 oz - 8 Ib 2 oz

Evaluate

Waste = 22 oz

Hence, the amount of waste is 22 oz

Read more about sum and difference at:

brainly.com/question/10739762

#SPJ1

8 0
2 years ago
PLEASE HELP! I'll give 5 out of 5 stars, give thanks, and give as many points as I can.
Liula [17]

Answer:

\boxed{\boxed{x=\dfrac{\pi}{3}\ \vee\ x=\pi\ \vee\ x=\dfrac{5\pi}{3}}}

Step-by-step explanation:

\cos(3x)=-1\iff3x=\pi+2k\pi\qquad k\in\mathbb{Z}\\\\\text{divide both sides by 3}\\\\x=\dfrac{\pi}{3}+\dfrac{2k\pi}{3}\\\\x\in[0,\ 2\pi)

\text{for}\ k=0\to x=\dfrac{\pi}{3}+\dfrac{2(0)\pi}{3}=\dfrac{\pi}{3}+0=\boxed{\dfrac{\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=1\to x=\dfrac{\pi}{3}+\dfrac{2(1)\pi}{3}=\dfrac{\pi}{3}+\dfrac{2\pi}{3}=\dfrac{3\pi}{3}=\boxed{\pi}\in[0,\ 2\pi)\\\\\text{for}\ k=2\to x=\dfrac{\pi}{3}+\dfrac{2(2)\pi}{3}=\dfrac{\pi}{3}+\dfrac{4\pi}{3}=\boxed{\dfrac{5\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=3\to x=\dfrac{\pi}{3}+\dfrac{2(3)\pi}{3}=\dfrac{\pi}{3}+\dfrac{6\pi}{3}=\dfrac{7\pi}{3}\notin[0,\ 2\po)

7 0
4 years ago
Read 2 more answers
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