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marishachu [46]
3 years ago
10

Martin wants to put frame around a painting. The painting measures 3 feet by 8feet. Write the simplified expression for the area

of the framed painting if the frame is to be x feet wide. A(x)=
Mathematics
1 answer:
luda_lava [24]3 years ago
7 0
Area= Length x Width
A= 3x8
A(x) = 3
A(8) = 3
You solve
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Simplify into one logarithm 2 log x + 3 log y
const2013 [10]
If a logarithm has a coefficient, then the coefficient can also be written as the exponent of the input of the logarithm. In other words, if you have the logarithm alog(x), that is equal to log(x^a). So the expression can be rewritten:

log(x^2)+log(y^3)

If tow logarithms of the same bases are added together that is equal to the logarithm of the product of the inputs of the two original logarithms. In other words, given log(x)+log(y), it can also be written as log(xy). So the expression can be combined into one logarithm:

log(x^2 * y^3)
8 0
3 years ago
6x+7y=4x+4y6x+7y=4x+4y6, x, plus, 7, y, equals, 4, x, plus, 4, y Complete the missing value in the solution to the equation. (((
Dmitrij [34]

Answer:

<h3>The missing value in the given solution is x=6</h3><h3>Therefore the solution is (6,-4)</h3>

Step-by-step explanation:

Given equation is 6x+7y=4x+4y\hfill (1)

<h3>To find the missing value in the solution to the equation :</h3>
  • Let missing value in the solution be x
  • Then the solution of the given equation is (x,-4)

Substitute the value of y=-4 in the given equation (1) we get

6x+7(-4)=4x+4(-4)

6x-28=4x-16

6x-28-(4x-16)=4x-16-(4x-16)

6x-28-4x+16=4x-16-4x+16 ( adding the like terms )

2x-12=0

2x=12

x=\frac{12}{2}

Therefore x=6

<h3>Therefore the missing value in the given solution is x=6</h3><h3>Therefore the solution is (6,-4)</h3>

8 0
3 years ago
1. What is the hypothesis for this conditional statement? If a number is even then it is divisible by 2.
liubo4ka [24]

Answer:

If a number is even is the conditional statement.

Step-by-step explanation:

The phrase that starts with "if" is the hypothesis for conditional statement. The phrase that starts with "then" is conclusion for the statement.

Here, the statement is "If a number is even then it is divisible by 2".

Hypothesis = If a number is even

Conclusion = It is divisible by 2

6 0
3 years ago
There are 200 balls of the same size inside a dark room. There are 100 white balls, 55 red balls, and 45 black balls. If one stu
Komok [63]

Answer:

Probability of picking Red ball is 27.5%

Step-by-step explanation:

Given:

Total Number of balls = 200

Number of White balls = 100

Number of Red balls = 55

Number of Black balls = 45

We need to find the probability of the ball picked to be red.

Solution:

Now we know that;

Probability is equal to number of Possible Outcomes divide by total number of Outcomes multiplied by 100.

framing in equation form we get;

P(Red) = \frac{\textrm{Number of Red balls}}{\textrm{Total Number of balls}} \times 100

P(Red) = \frac{55}{200}\times100

P(Red) = 27.5\%

Hence Probability of picking Red ball is 27.5%.

6 0
3 years ago
I need this for my notes so i can know what to do. What is the length of AC? And Length of AB?
andre [41]

Answer:

AC 5

AB = 3

Step-by-step explanation:

AC = distance between the points

C-A = 3 - -2 = 3+2 = 5

The distance is 5

AB = distance between the points

B-A = 1 - -2 = 1+2 = 3

The distance is 3

8 0
3 years ago
Read 2 more answers
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