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Rufina [12.5K]
2 years ago
15

Solving a mixture problem involving percent

Mathematics
1 answer:
Travka [436]2 years ago
3 0

Answer:

52%

Step-by-step explanation:

40% nuts of 5kg = 40% × 5 = 2kg

56% nuts of 15kg = 56% × 15kg = 8.4kg

total of nuts in mixture = 2 + 8.4 = 10.4kg

10.4kg of nuts in 20kg = 10.4/20 = 52%

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Write 2/3 as a percent. Round your answer to the nearest tenth of a percent.
sweet [91]

divide 2 b 3

2 divided by 3 = 0.625

move decimal point 2 places to the right to turn to a percentage

0.625 = 62.5%

8 0
2 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
2d + 1 = 9<br><br> so d = what
weeeeeb [17]

Answer:

d is 4 :))

hope that helped

8 0
2 years ago
Read 2 more answers
Find the next three terms in the geometric sequence: 400, 200, 100, 50
Elena-2011 [213]
It's dividing by 2. 

Next 3 would be: 25, 25/2, 25/4 or converting those into decimals. 
7 0
3 years ago
Read 2 more answers
Please help! Thank you so much!
igor_vitrenko [27]

Angle W:

180 = 90 + 57 + W

180 = 147 + W

W = 33 degrees

Using trigonometry functions to find the side lengths. (SOH CAH TOA)

Side XZ:

cos(57) = XZ / 18

XZ = cos(57) x 18

XZ = 9.8 units

Side XW:

sin(57) = XW / 18

XW = sin(57) x 18

XW = 15.1 units

Hope this helps!! :)

4 0
2 years ago
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