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3 years ago

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Mathematics

2 answers:

Paul [167]3 years ago

7 0

Answer:

A. 1 and 7/8

Step-by-step explanation:

UNO [17]3 years ago

3 0

Answer:

$\frac{15}{8}$

Step-by-step explanation:

You might be interested in

What is 20,700,0000 in standard notation?

alexdok [17]

Answer:

2.07 x 10^4

Step-by-step explanation:

8 0

3 years ago

A farmer has a 100 ft by 200 ft rectangular field that he wants to increase by 15.5% by cultivating a strip of uniform width aro

Advocard [28]

Answer:

(a) The strip should be 5ft wide

(b) The strip around the outside field is 10ft wide.

Step-by-step explanation:

Given:

Length of the rectangular field, L= 200 ft

width of the rectangular field, w = 100 ft

Area of the rectangular field, A = 200ft x 100ft = 20000 ft^2

let the width of the strip = x

The strip around the outside field = 2x

If the field is increased by 15.5%

New area of the field = 1.155 x 20000 = 23,100 ft^2

The increase in area of the field = 3,100 ft

3,100 = New area of field - old area of the field

3100 = (200 + 2x)(100 + 2x) - 20000

3100 = 20000 + 400x 200x + 4x^2 - 20000

3100 = 600x + 4x^2

Divide through by 4

775 = 150x + x^2

x^2 + 150x - 775 = 0

Factorize

(x + 155)(x-5) = 0

x = 5 ft

The strip should be 5ft wide.

The strip around the outside field = 2 x 5 ft = 10 ft

Thus, the strip around the outside field is 10ft wide.

3 0

3 years ago

Find all zeros of ƒ(x) = 2x^4 – 72x^2. Then determine the multiplicity at each zero. State whether the graph will touch or cross

AleksandrR [38]

Answer: See below

Step-by-step explanation:

<u>To find the factor,</u>

f(x) = 0

$\begin{aligned}&2 x^{4}-72 x^{2}=0 \\&2 x^{2}\left(x^{2}-36\right)=0 \\&x^{2}\left(x^{2}-36\right)=0 \\&x \times x \times(x-6) \times(x+6)=0 \\&\mathrm{x}=0,0,6,-6\end{aligned}$

x = 0 multiplicity 2

x = -6 multiplicity 1

x = 6 multiplicity 1

For an even multiplicty, the graph touches the x-axis, and for an odd multiplicty, the graph crosses the x-axis

<u>Therefore,</u>

x = 0 multiplicty 2, Touch

x = -6 multiplicty 1, Cross

x = 6 multiplicty 1, Cross

7 0

2 years ago

If a car can travel 325 miles on 15 gallons of gasoline how many gallons will it take to drive 800 miles

e-lub [12.9K]

325/15=800/x. Cross multiply 325x and 15(800)=12000/325.
36.92 gallons of gas for 800 miles

8 0

3 years ago

- A new rectangular lawn has a

disa [49]

The number of bags of grass seed that are needed to seed the new rectangular lawn is approximately 19 bags .

<h3>Perimeter of a rectangle</h3>

The perimeter of a rectangle is the sum of the whole sides of the rectangle.

Therefore,

perimeter of the rectangle = 298 ft

The width is 67 ft.

Hence

perimeter of rectangle = 2(l + w)

where

l = length
w = width

Therefore,

298 = 2 ( l + 67)

298 = 2l + 134

298 - 134 = 2l

164 = 2l

l = 164 / 2

l = 82 ft

Therefore,

area of the rectangle = 82 × 67 = 5494 ft²

285 ft² = 1 bag of grass seed

5494 ft² = ?

cross multiply

number of bag of grass seed to fill the new rectangular lawn = 5494 / 285

number of bag of grass seed to fill the new rectangular lawn = 19.2771929825

learn more on rectangle here: brainly.com/question/16878024

5 0

1 year ago

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