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Ira Lisetskai [31]
3 years ago
13

A kitchen makes 2944 ounces of soup each week. There are 128 ounces in one gallon. How many gallons of soup does the kitchen mak

e in 2 weeks?
Mathematics
1 answer:
zhannawk [14.2K]3 years ago
3 0
Step 1:
Find number of gallons in one week
Total oz ÷ oz per gallon= gallons
=2944/128
= 23 gallons in one week

Step 2:
Multiply gallons made in one week by two.
=23 gallons per week * 2
=46 gallons made in 2 weeks

Hope this helps! :)
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zubka84 [21]

Answer:

a.10

b.10

c.-105

d.92

5 0
3 years ago
A wheel of radius 10 inches is rotating 20°/sec. What is the linear speed in in/sec and the angular speed in RPM? (Round your an
Assoli18 [71]

9514 1404 393

Answer:

  a)  3.491 in/s

  b)  3.333 RPM

  c)  0.349 rad/s

Step-by-step explanation:

We know the arc length for a given radius and angle is ...

  s = rθ

so the linear speed along the arc is ...

  s' = rθ' = (10 in)(20π/180 rad/s) = 10π/9 in/s ≈ 3.491 in/s

__

The rotation rate of 20°/s is an angular velocity of ...

  (20°/s)(60s/min)(1 rev/360°) = 3.333 RPM

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In the first part, we found the angular speed to be π/9 radians/sec. That's about ...

  π/9 rad/s ≈ 0.349 rad/s

3 0
2 years ago
the price of three different bags of cat food are shown in the table to the right. Which bags has the lowest price per pound? si
Ksivusya [100]

Answer:

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Step-by-step explanation:

STIL YOUR MOM

5 0
3 years ago
The table below lists the masses and volumes of several pieces of the same type of metal. There is a proportional relationship b
castortr0y [4]
 
<span>∵ There is a proportional relationship between the mass and the volume of the places of metal.
Let volume = v and mass = m
So, the relation between volume and mass will take the form:
        v = km
where k is constant and can be calculated as follow:
when m = </span><span>34.932 , and v = 4.1   ⇒⇒⇒ k = v/m = 0.117371
</span>when m = 47.712<span> , and v = 5.6   ⇒⇒⇒ k = v/m = </span>0.117371
when m = 61.344 , and v = 7.2   ⇒⇒⇒ k = v/m = <span>0.117371
when m = </span>99.684 , and v = 11.7  ⇒⇒⇒ k = v/m = <span>0.117371

∴ v = 0.117371 m
</span>
For  v =<span>15.3
∴ m = v/k = 15.3/0.117371 = 130.356 </span><span>gram

</span>The mass of a piece of this metal that has a volume of 15.3 cubic centimeters ≈ 130.4 gram (<span>round to the nearest tenth</span>)











3 0
3 years ago
Read 2 more answers
Fill in Sin, Cos, and tan ratio for angle x. <br> Sin X = 4/5 (28/35 simplified)
Fantom [35]

Answer:

Given: \sin(x) = (4/5).

Assuming that 0 < x < 90^{\circ}, \cos(x) = (3/5) while \tan(x) = (4/3).

Step-by-step explanation:

By the Pythagorean identity \sin^{2}(x) + \cos^{2}(x) = 1.

Assuming that 0 < x < 90^{\circ}, 0 < \cos(x) < 1.

Rearrange the Pythagorean identity to find an expression for \cos(x).

\cos^{2}(x) = 1 - \sin^{2}(x).

Given that 0 < \cos(x) < 1:

\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}.

Hence, \tan(x) would be:

\begin{aligned}& \tan(x) \\ &= \frac{\sin(x)}{\cos(x)} \\ &= \frac{(4/5)}{(3/5)} \\ &= \frac{4}{3}\end{aligned}.

7 0
2 years ago
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