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zysi [14]
2 years ago
15

Write the sentence as an inequality.

Mathematics
1 answer:
Bogdan [553]2 years ago
6 0

Answer:

1/2y > 22

Step-by-step explanation:

This can also be written as

y/2 > 22

and

0.5y >22

Hope this helps!

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A silversmith combined pure silver that cost $33.48 per ounce with 51 oz of a silver alloy that cost $24.35 per ounce. How many
Pavlova-9 [17]

Answer:

$38.31

Step-by-step explanation:

Given:

Pure silver that cost $33.48 per ounce used to form $24.35 alloy/ounce.

Question asked:

How many ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?

Solution:

At cost $24.35/ounce, pure silver is mixed = $33.48

At cost $1/ounce, pure silver is mixed = \frac{33.48}{24.35}

At cost $27.87/ounce, pure silver is mixed = \frac{33.48}{24.35}\times 27.87 = \frac{933.08}{24.35}  = 38.31

Thus, $38.31 ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce.

5 0
3 years ago
Will someone please help me here
grandymaker [24]

\bf a) \\\\\\ \begin{array}{ccll} miles&minutes\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 11&74\\ 1&x \end{array}\implies \cfrac{11}{1}=\cfrac{74}{x}\implies x=\cfrac{1\cdot 74}{11} \\\\\\ b) \\\\\\ \begin{array}{ccll} lbs&\$\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 20&8\\ 1&x \end{array}\implies \cfrac{20}{1}=\cfrac{8}{x}\implies x=\cfrac{1\cdot 8}{20}

7 0
3 years ago
WILL GIVE BRAINLIEST, SHOW ALL WORK, IF YOU DONT SHOW ALL WORK AND JUST GUESS... I WILL REPORT, SRY BUT PEOPLE JUST WANT POINTS!
Olegator [25]

y = 2x - 3

for x = 0 → y = 2(0) - 3 = -3 → (0, -3)

for x = 2 → y = 2(2) - 3 = 1 → (2, 1)

y = -2x + 5

for x = 0 → y = -2(0) + 5 = 5 → (0, 5)

for x = 2 → y = -2(2) + 5 = 1 → (2, 1)

Answer: A. (2, 1)

6 0
3 years ago
A spring is oscillating so that its length is a sinusoidal function of time. Its length varies from a minimum of 10 cm to a maxi
Hoochie [10]
Let the x(t) represent the motion of the spring as a function of time, t.

The length of the oscillating spring varies from a minimum of 10 cm to a maximum of 14 cm.
Therefore its amplitude is A = (14 - 10)/2 = 2.

When t = 0 s, x = 12 cm.
Therefore the function is of the form
x(t) = 2 sin(bt) + 12

At t=0, x(t) is decreasing, and it reaches its minimum value when t = 1.2 s.
Therefore, a quarter of the period is 1.2 s.
The period is given by
T/4 = 1.2
T = 4.8 s

That is,
b = (2π)/T = (2π)/4.8 = π/2.4 = 1.309

The function is
x(t) = 2 sin(1.309t) + 12
A plot of x(t) is shown below.

When x(t) = 13.5, obtain
2 sin(1.309t) + 12 = 13.5
sin(1.309t) = (13.5 - 12)/2 = 0.75
1.309t = sin⁻¹ 0.75 = 0.8481 or π - 0.8481
t = 0.8481/1.309 or t = (π - 0.8481)/1.309
  = 0.649 or 1.751
The difference in t is 1.751 - 0.649 = 1.1026.

This difference occurs twice between t=0 and t=8 s.
Therefore the spring length is greater than 13.5 cm for 2*1.1026 = 2.205 s.

Answer:
Between t=0 and t=8, the spring is longer than 13.5 cm for 2.205 s.

8 0
3 years ago
Find the area of the figure
Katena32 [7]
<span>Hexagon side = 12/6 = 2
Area formula : 3L²</span>√3/2 = 3*2²√3/2 = 6√3
3 0
3 years ago
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