Dan is helping to build a stage for a concert.

Pamela has4/5 pound of sunflower seeds if she gives 2/3 pound of sunflower seeds to the squirrels in her backyard what fraction

Assoli18 [71]

4/5-2/3= 12/15-10/15 (common denominator is 15)=2/15 pounds of seeds left

8 0

2 years ago

Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people c

Alex17521 [72]

Answer:

a) $X=3300$

b) $Y=7770$

Step-by-step explanation:

From the question we are told that:

Number Teachers $T=6$

Number Student $S=12$

Number in committee $n=5$

a) Generally the equation for exactly 3 students on the committee is mathematically given by

$X=^{S}C_3*^{T}C_3$

$X=^{12}C_3*^{6}C_3$

$X=3300$

b) Generally the equation for at least one teacher and at least one student on the committee is mathematically given by

Total Ways-(no of ways of selection no teacher or student)

Where total Ways

$T=^{(6+12)}C_5$

$T=8568$

Therefore

$Y=8568-^{6}C_0*^{12}C_5+^{12}C_0*^{6}C_5$

$Y=8568-798$

$Y=7770$

8 0

2 years ago

Carlos is giving his friend in another state a new umbrella as a gift. He wants to ship the umbrella in a box he already has. Wh

notka56 [123]

Answer:

<h2>He could use the medium box.</h2>

Step-by-step explanation:

Notice that the umbrella is 37.5 inches long.

If you observe, each box doesn't have 37 inches wide, however, they are tridimensional figures, which means they have a certaing height.

So, the smalle box is too small to fit the umbrella.

But, the medium box is perfect, because it has 27 inches wide and 27 inches height, which is enough to fit the umbrella. These are the best dimensions to send the umbrella.

Therefore, the medium box is the answer, the one that has dimensions 27x14x27.

6 0

2 years ago

Read 2 more answers

The red figure is the transformed image of the blue figure. Malcolm correctly identifies a sequence of two transformations that

Katena32 [7]

Answer:

Step-by-step explanation:

Malcolm's transformation:

First, the blue image is reflected about the line y=-5

Then it is rotated 180 degrees around the point (0,-5)

(you can have other options this is just one example)

Ursa's transformation:

The blue image is reflected about the y axis

(you can have other options this is just one example)

4 0

2 years ago

Read 2 more answers

A rectangular storage container with an open top is to have a volume of 10m3. Thelength of its base is twice the width. Material

frutty [35]

Answer:

$163.54

Step-by-step explanation:

Volume of rectangular container = 10m^3

Length = 2(width)

Material for the base cost $10 per square meter

Material for the side cost $6 per square meter

Volume = L*B*H

L= 2W

V = (2W).W. H

10 = 2W^2.H

H = 10 /2W^2

H = 5/W^2

Let C(w) = cost function

C(w) = 10(L.W) + 6(2.L.H + 2.W.H)

= 10(2W.W) + 6(2.2W.H + 2.W.H)

= 10(2W^2) + 6(4W.H + 2.W.H)

= 10(2W^2) + 6(4W*5/W^2 + 2.W*5/W^2)

= 20W^2 + 6(20/W + 10/W)

= 20W^2 + 6((10+20)/W)

= 20W^2 + 6(30/W)

C(w) = 20W^2 + 180/W

To find the minimum value, differentiate C with respect to w

C'(w) = 40W - 180/W^2

Put C'(w) = 0

0 = 40W - 180/W^2

40W = 180/W^2

40W^3 = 180

W^3 = 180/40

W^3 = 4.5

W = cube rt(4.5)

W = 1.65m

C = 20(1.65)^2 + 180/1.65

C = 54.45 + 109.09

C= $163.54

Minimum cost = $163.54

6 0

2 years ago