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Lubov Fominskaja [6]
3 years ago
9

Write 144 students in six classes as a unit rate show work

Mathematics
1 answer:
Nataly_w [17]3 years ago
6 0
Divide the total number of students by the number of classes into which they're, well, divided.
144 students/6 classes
This comes out to be 24, so you have
24 students/1 class, or 24 students per class
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A cube-shaped water tank having 6 ft side lengths is being filled with water. The bottom is solid metal but the sides of the tan
Mekhanik [1.2K]

Answer:

0.033 ft

Step-by-step explanation:

Let g = 32.2 ft/s2 and h be the maximum height that water can be filled before the sides shatter.

Pressure is distributed from 0 to maximum at the bottom like the following equation:

P = \rho gh

So the force generated by water pressure on the side of the tank is

F = PA = \rho ghs/2

where s = 6ft is the side length of the tank. This force cannot be larger than 200lb

\rho ghs/2 \leq 200

62.4*32.2*h*6/2 \leq 200

h \leq 0.033 ft

4 0
4 years ago
A snowboard is on sale for $476. If the
melamori03 [73]

Answer:

15%

Step-by-step explanation:

we call the original price 100% and to find the discount amount :

Multiply 100 by $476 then divide by $560

100 × $476 ÷ $560 = 85

$476 is 85% of the original price therefore the amount of discount as in percentage is 100 - 85 = 15%

8 0
3 years ago
Name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS,
MariettaO [177]

Answer:

ΔPTS≅ΔRTA by AAS axiom of congruency

Step-by-step explanation:

Consider ΔPQA and ΔRQS

∠PQA=∠RQS     (Vertically Opposite Angles)

∠QAP=∠QSR     (Complementary of two equal angles, ∠RAT and∠PST)

Due to angle sum property of a triangle, we come to the conclusion that

∠APQ=∠SRQ

Consider ΔPTS and ΔRTA

TA=TS  (Given)

∠RAT=∠PST(Given)

∠APQ=∠SRQ (Proved above)

Therefore, ΔPTS≅ΔRTA by AAS axiom of congruency.

8 0
3 years ago
Find the value of x
Mamont248 [21]
The pentagon has a sum of interior angles of 540 degrees.

Therefore,
(4x + 5) + (5x - 5) + (6x + 10) + (4x + 10) + 7x = 540;
26x = 520;
x = 20;
5 0
4 years ago
Identify the value of x that makes each pair of ratios
TEA [102]
C
5 is 1/3 of 15 and 1 is 1/3 of 3 so C would be correct
5 0
3 years ago
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