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tatuchka [14]
3 years ago
15

It's a math problem subtracting unlikely fractions 14 / 2 - 9 / 8

Mathematics
2 answers:
gavmur [86]3 years ago
4 0

5 and 7/8 0r 47/8 :)

Ira Lisetskai [31]3 years ago
4 0

\bf \cfrac{14}{2}-\cfrac{9}{8}\implies \stackrel{\textit{our LCD will be 8}}{\cfrac{(3)14~~-~~(1)9}{8}}\implies \cfrac{42-9}{8}\implies \cfrac{33}{8}\implies 4\frac{1}{8}

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Find the surface area of the composite figure. 6cm 5 cm 20cm 4cm 12cm 6cm​
Crazy boy [7]

Answer:

644 cm²

Step-by-step explanation:

Surface area of the composite figure = surface area of the large rectangular prism + surface area of the small rectangular prism - 2(area of the surface of the small rectangular prism that joins the larger prism)

✔️Surface area of the large rectangular prism = 2(LW + LH + WH)

L = 6 cm

W = 5 cm

H = 20 cm

Surface area = 2(6*5 + 6*20 + 5*20)

= 500 cm²

✔️Surface area of the small rectangular prism = 2(LW + LH + WH)

L = 6 cm

W = 4 cm

H = 12 cm

Surface area = 2(6*4 + 6*12 + 4*12)

= 288 cm²

✔️area of the surface of the small rectangular prism that joins the larger prism = L*W

L = 12 cm

W = 6 cm

Area = 12*6

= 72 cm²

✅Surface area of the composite figure = 500 + 288 - 2(72)

= 644 cm²

7 0
3 years ago
A toy company produces 1,000 toys per
lidiya [134]
C option is correct. Because out of 10 toys 1 is defective. So 10 will be defective out of 100 and 100 will be defective out if 1000 i.e the monthly production.
8 0
3 years ago
2 Construct a rational function that will help solve the problem. Then, use a calculator to answer the question.
vaieri [72.5K]

Answer:

<u><em>Dimension of box:-</em></u>

Side of square base = 10 in

Height of box = 5 in

Minimum Surface area, S = 300 in²

Step-by-step explanation:

An open box with a square base is to have a volume of 500 cubic inches.

Let side of the base be x and height of the box is y

Volume of box = area of base × height

                 500=x^2y

Therefore, y=\dfrac{500}{x^2}

It is open box. The surface area of box, S .

S=x^2+4xy

Put  y=\dfrac{500}{x^2}

S(x)=x^2+\dfrac{2000}{x}

This would be rational function of surface area.

For maximum/minimum to differentiate S(x)

S'(x)=2x-\dfrac{2000}{x^2}

For critical point, S'(x)=0

2x-\dfrac{2000}{x^2}=0

x^3=1000

x=10

Put x = 10 into y=\dfrac{500}{x^2}

y = 5

Double derivative of S(x)

S''(x)=2+\dfrac{4000}{x^3} at x = 10

S''(10) > 0

Therefore, Surface is minimum at x = 10 inches

Minimum Surface area, S = 300 in²

7 0
3 years ago
Find f(–2) for the function f(x) = 3x2 – 2x + 7.
sattari [20]

Answer:

23

Step-by-step explanation:

3(-2)2-2(-2)+7

3(4)-(-4)+7

12+4+7

8 0
3 years ago
8(c - 15)= -40 the solution is c =
erastovalidia [21]

Answer:

c = 10

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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