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natita [175]
3 years ago
6

Question 3

Mathematics
2 answers:
Natasha2012 [34]3 years ago
7 0

Answer:

60,000 grams

Step-by-step explanation:

Find how many grams she weighs by finding how many grams are in 60 kilograms.

There are 1000 grams in a kilogram, so to find her weight in grams, multiply 60 by 1000:

60(1000)

= 60,000

So, Julie weighs 60,000 grams

Hunter-Best [27]3 years ago
7 0
The answer is 60,000
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Country days scholarship rounds receive a gift of $135000. The money is invested in stock, bonds, and CDs. CDs pay 2.75% interes
Vsevolod [243]

Answer:

  • CDs — $10,000
  • bonds — $80,000
  • stocks — $45,000

Step-by-step explanation:

Let the variables c, b, s represent the dollar amounts invested in CDs, stocks, and bonds, respectively. Then the problem statement gives us 3 relations between these 3 variables:

  c + b + s = 135000 . . . . . . . . . . . . . . . . . total invested

  0.0275c +.045b +0.104s = 8555 . . . . . total income earned

  -c + b = 70000 . . . . . . . . . . . . . . . . . . . . . 70,000 more was in bonds than CDs

Using the third equation to write an expression for b, we can substitute into the other two equations.

  b = 70000 +c . . . . . . . . . . . . . . . . expression we can substitute for b

  c + (70000 +c) +s = 135000 . . . . substitute for b in the first equation

  2c +s = 65000 . . . . . . . . . . . . . . . . [eq4] simplify

  .0275c +.045(70000 +c) +.104s = 8555 . . . . . substitute for b in 2nd eqn

  .0725c +.104s = 5405 . . . . . . . . . . [eq5] simplify

Using [eq4], we can write an expression for s that can be substituted into [eq5].

  s = 65000 -2c . . . . . . . expression we can substitute for s

  0.0725c +0.104(65000 -2c) = 5405

  -0.1355c = -1355 . . . . . . . . . . . . . . . . . . . . subtract 6760, simplify

  c = 1355/.1355 = 10,000

  s = 65000 -2×10000 = 45,000

  b = 70000 +10000 = 80,000

The amounts invested in stocks, bonds, and CDs were $45,000, $80,000, and $10,000, respectively.

_____

Alternatively, you can reduce the augmented matrix for this problem to row-echelon form using any of several calculators or on-line sites. That matrix is ...

\left[\begin{array}{ccc|c}1&1&1&135000\\0.0275&0.045&0.104&8555\\-1&1&0&70000\end{array}\right]

6 0
3 years ago
Use the proportion. What is 72% of 150
kherson [118]

Answer:

108

Step-by-step explanation:

150x0.72=108

4 0
3 years ago
Read 2 more answers
Priya has a recipe for banana bread. She uses 7 1/2 cups of flour to make 3 loaves of
Umnica [9.8K]

Answer:

2 1/2 cups of flour

Step-by-step explanation:

Priya is making 3 loaves of bread, so she will use 7 1/2 cups of flour.

Andre is making 1 loaf of bread, which is 1/3 the amount of loaves Priya is making. So, he will be using 1/3 the amount of flour Priya is using. So all we have to do is take 7 1/2 and divide it by 3:

7.5/3 = 2.5

Andre will use 2 1/2 cups of flour.

4 0
2 years ago
The equation 3s equals 21 can be used to find the number of students s and each van on a field trip how many students are in eac
zubka84 [21]
3s=21
s=7
7 students are in each van.
6 0
3 years ago
Help: (picture below)
Aleks04 [339]

The length of a pendulum that makes one full swing in 1.9 s is about 2.926 which is about 3ft when rounded to the nearest foot

7 0
3 years ago
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