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Scrat [10]
3 years ago
10

Eddie's moving company moved 3 boxes out of Mrs. Diaz's house. The box labeled "kitchen" was 4 times heavier than the box labele

d Bedroom. The box labeled "library" was 14 times heavier than the box marked "Bedroom". If the combined weight of the boxes was 817 pounds, how much did the box labeled "kitchen" weigh
Mathematics
1 answer:
Svetach [21]3 years ago
7 0
K - Kitchen
b - Bedroom
l - Library

k = 4b
l = 14b
k   + b +  l    = 817 pounds
4b + b +14b = 817 pounds
19b = 817 lbs
b = 817/19 pounds
b = 43 pounds

Since k = 4b
k = 4 * 43 pounds
k = 172 pounds

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An actor invested some money at 5% simple interest, and $41,000 more than 4 times the amount at 9%. The total annual interest ea
NARA [144]

Answer:

  • The amount invested at 5%=$77,000
  • The amount invested at 9%=$349,000

Step-by-step explanation:

  • Let the amount invested at 5% simple interest =$x

He invested $41,000 more than 4 times the amount at 9%.

  • This amount is: $(4x+41000)

Total Annual Interest Earned = $35,260

Therefore, Time=1 year

Simple Interest=\frac{Principal X Rate X Time}{100}

Therefore, his total interest

=Interest from Investment 1 + Interest from Investment 2

35260=\left(\frac{x*5*1}{100} \right)+\left(\frac{4x+41000*9*1}{100} \right)\\35260=0.05x+(0.36x+3690)\\35260-3690=0.05x+0.36x\\31570=0.41x\\\text{Divide both sides by 0.41}\\x=\$77000

Therefore:

The amount invested at 5%=$77,000

The amount invested at 9%=$(4*77,000+41000)=$349,000

6 0
3 years ago
Heyyyyy pleasse help me please please and thank you
dimulka [17.4K]

Answer:

x ≈ 33.1°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = \frac{opposite}{adjacent} = \frac{125}{192} , then

x = tan^{-1} ( \frac{125}{192} ) ≈ 33.1° ( to the nearest tenth )

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How do you do equivalent fractions ?
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What is a reasonable measure for the angle shown?
dimaraw [331]
I would say 120 since it’s not at the end near 170

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