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diamong [38]
3 years ago
12

The difference between a number and seven is less than or equal to -3

Mathematics
2 answers:
Scorpion4ik [409]3 years ago
6 0
X-7 < -3
Remember that the less than or equal to has a line underneath it!
inn [45]3 years ago
6 0
Difference means subtraction difference betwen a number and 7 means 7-x is less or equal to -3 (≤-3) 7-x≤-3
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Simplify by combing like terms: 7/2x-8.62-3/2x-2.38
chubhunter [2.5K]

\bf \cfrac{7}{2}x-8.62-\cfrac{3}{2}x-2.38\implies \cfrac{7}{2}x-\cfrac{3}{2}x-8.62-2.38\implies \cfrac{7x-3x}{2}-11&#10;\\\\\\&#10;\cfrac{4x}{2}-11\implies 2x-11

5 0
3 years ago
Read 2 more answers
The area A, in square meters, of a rectangle with a perimeter of 160 meters is given by the equation A = 80w − w2, where w is th
Sonja [21]

Answer:

the width is 10 m

Step-by-step explanation:

if the relationship between area and width is

A = 80*w − w²

for an area A=700 m² , we have

700 m² = 80*w − w²

w² - 80*w + 700 m² = 0

aw² + b*w + c = 0

where a=1 , b=-80 and c=700

this quadratic equation has as solution the following formula

w = [-b ± √ ( b² - 4*a*c) ]/(2*a)

replacing values

w = [80 ± √ ( 80² - 4*1*700) ]/(2*1) = (80 ± 60)/2

then

w₁=(80 - 60)/2 = 10 m

w₂ =(80 + 60)/2 = 70 m

since the area has the form A= length * width = 80*w − w² = (80− w)*w

then the length of the rectangle is

length = 80− w

for w₁=10 m → length = 80− 10 = 70 m

for w₁=70 m → length = 80− 70 = 10 m

by definition the shorter side is the width ( and the longer one , the length) , therefore the only possible option is the first one .

Thus the width is 10 m

7 0
3 years ago
What is the area to 16 square feet
Lunna [17]

Answer:

1.48645ft

Step-by-step explanation:

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3 0
3 years ago
If 30 articles cost rs 300,then the cost of 1 article is _____​
DIA [1.3K]

Answer:

Cost of 1 article is Rs10

6 0
3 years ago
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A helicopter takes off from the ground 800 feet from the base of a building. It flies in a straight line directly to the top of
Stolb23 [73]

Answer:

11.3°

Step-by-step explanation:

Refer the attached figure .

Height of building i.e. AB = 160 feet.

A helicopter takes off from the ground 800 feet from the base of a building i.e. BC = 800 ft.

We are required to find what angle did the helicopter take off from i.e. ∠ACB

We will use trigonometric ratio .

tan\theta = \frac{Perpendicular}{Base}

tan\theta = \frac{AB}{BC}

tan\theta = \frac{160}{800}

tan\theta = \frac{1}{5}

tan\theta = 0.2

\theta =tan^{-1} 0.2

\theta =11.3^{\circ}

Thus the  angle at which  the helicopter take off from is 11.3°

3 0
3 years ago
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