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2 years ago

Solving a decimal word problem using a linear equation of the for...

Mathematics

1 answer:

Sindrei [870]2 years ago

6 0

Answer:

5 pounds of coffee

Step-by-step explanation:

Let the number of pounds of coffee bought be 'x'.

Given:

Value on gift card = $90

Value of coffee per pound = $8.09

Money left after buying coffee = $49.55

Now, using unitary method,

1 pound cost = $8.09

∴ 'x' pounds cost = $8.09x$

Now, Money left = Total money on gift card - Cost of coffee.

$49.55=90-8.09x\\\\8.09x=90-49.55\\\\8.09x=40.45\\\\x=\frac{40.45}{8.09}=5$

Therefore, Lashonda bought 5 pounds of coffee.

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A _____ consists of two or more inequalities. At least one of these is nonlinear

serious [3.7K]

Answer:

Nonlinear system of inequalities

Step-by-step explanation:

3 0

3 years ago

Determine whether AB is tangent to the circle with center c

GenaCL600 [577]

9514 1404 393

Answer:

yes, no, no

Step-by-step explanation:

The triangle will be a right triangle if the sum of the squares of the two short sides, less the square of the long side, is zero. (This is what the Pythagorean theorem tells you.) The angle where the radius meets the circle must be a right angle if the line is to be a tangent.

a) 3^2 +4^2 -5^2 = 9 + 16 -25 = 0 . . . . AB is a tangent

b) 9^2 +15^2 -18^2 = 81 +225 -324 = -18 . . . . AB is not a tangent

c) 10^2 +48^2 -52^2 = 100 +2304 -2704 = -300 . . . . AB is not a tangent

3 0

2 years ago

PLEASE HELP ASAP WILL GIVE BRAINLIEST

djverab [1.8K]

It would be D
Rational functions are fractions where numerator and denominator are polynomials.

4 0

3 years ago

Given: ABCD ∥gram, BK ⊥ AD , AB ⊥ BD AB=6, AK=3 Find: m∠A, BK, AABCD

jenyasd209 [6]

1. Consider right triangle ABK. The hypotenuse AB is 6 un. and the leg AK is 3 un. Since the leg is half of the hypotenuse, then the opposite to the leg angle is 30°. This means that m∠ABK=30°. Then m∠BAK=90°-30°=60°.

2. By the Pythagorean theorem,

$AB^2=AK^2+BK^2,\\\\6^2=3^2+BK^2,\\\\BK^2=36-9,\\\\BK^2=27,\\\\BK=3\sqrt{3}\ un.$

3. Consider right triangle ABD. In this triangle AD is hypotenuse and m∠ADB=90°-m∠BAD=90°-60°=30°. Then the leg AB opposite to the angle 30° is half of the hypotenuse and AD=12 un.

4. The area of parallelogram is

$A_{ABCD}=AD\cdot BK=12\cdot 3\sqrt{3}=36\sqrt{3}\ sq. un.$

5 0

2 years ago

Express( (√3 +i )^60 )in polar form

Zinaida [17]

Observe that

|√3 + i| = √((√3)² + 1²) = √4 = 2

and

arg(√3 + i) = arctan(1/√3) = π/6

so that

√3 + i = 2 exp(i π/6)

By de Moivre's theorem, we get

(√3 + i)⁶⁰ = 2⁶⁰ exp(i π/6 • 60) = 2⁶⁰ exp(i 10π) = 2⁶⁰

4 0

1 year ago