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mario62 [17]
3 years ago
6

Solve the equation 1/2x+1/4x= 16 A. 16 B. 21.3 C. 32 D. 64

Mathematics
1 answer:
Otrada [13]3 years ago
5 0
1/2+1/4= 2/4+1/4= 3/4 or .75
Then,
3/4x=16
(3/4x)4/3=(16)4/3   *multiply by the reciprocal everytime you want to isolate x                                                with a fraction\

x= 12
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Compute the exact interest on $5,870 at 12% if the money is borrowed from June to December of the same year.
yawa3891 [41]

Answer:

The exact interest on $5,870 at 12% is $410.9

Step-by-step explanation:

From the information provided we know that

Principal amount: $5,870

Interest rate: 12% -> 0.12

Time: 7 months (From June to December)

When you know the principal amount, the rate, and the time, the amount of interest can be calculated by using the formula:

I=P\cdot r\cdot t

where P is principal, r is the rate of interest and t is the time in years.

We need to convert the 7 months into 1 year.

7 \>months \cdot \frac{1 year}{12 months} = \frac{7}{12} year

Now we can use the above formula

I=P\cdot r\cdot t=5870\cdot 0.12 \cdot \frac{7}{12} \\I = 0.12\cdot \frac{7\cdot \:5870}{12}\\I = 0.12\cdot \frac{20545}{6}\\I = \frac{2465.4}{6}\\I = 410.9

Therefore the exact interest on $5,870 at 12% is $410.9

7 0
3 years ago
-x/8<-1/2 solve each inqequality
Sindrei [870]
-x/8<-1/2. Use the reverse order of operations to solve this. So, as both sides are negative, multiply them by -1 to get you to x/8>1/2, as multiplying by a negative flips the symbol. Solve that by multiplying 1/2 to 8/1. Multiply the numerators and denominators, to give you 8/2. Simplified, x>4
3 0
3 years ago
The following histogram shows the number of minutes that 29 students took to complete an exam.
jolli1 [7]

Answer:

What's the question?

Step-by-step explanation:

6 0
3 years ago
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Which of the following is the graph of f(x) = -0.5|x+3| -2?
Tcecarenko [31]

Answer:

The last graph

Step-by-step explanation:

We transform functions in the following ways:

  • multiplying the function by a number to stretch or shrink it
  • multiplying by a negative to flip the orientation of the function
  • adding/subtracting a value to the input x to shift it horizontally
  • adding/subtracting a value to the output (or outside the function operation) to shift it vertically or horizontally.

Looking at the equation we can see f(x)=-0.5\left|x+3\right|-2

  • Vertically shrunk by 0.5
  • Negative leading coefficient to flip the graph's orientation
  • Horizontal shift of the vertex of 3 units to the left from (0,-2) to (-3,-2)
  • Vertical shift of the vertex of 2 units downward (-3,0) to (-3,-2)

The last graph has vertex (-3,-2) and satisfies the the equation.

7 0
3 years ago
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Diane works at a gardening store, and today she is helping assemble gas trimmers to be sold. An employee from an earlier shift a
Oxana [17]

The linear function for the number of trimmers assembled is:

y = 7 + 4x.

--------------------------------

A linear function has the following format:

y = ax + b

In which:

  • a is the rate of change.
  • b is the fixed amount.

--------------------------------

  • In an earlier shift, 7 trimmers had already been produced, thus 7 is the fixed amount, that is, b = 7.
  • Diane assembles 4 trimmers per hour, thus the rate of change is 4, that is, a = 4
  • The <u>amount of trimmers y produced after x hours</u> is given by:

y(x) = 4x + 7

A similar problem is given at brainly.com/question/16302622

3 0
3 years ago
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