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kiruha [24]
3 years ago
11

Identify the terms, like terms, coefficients, and constants in each expression.

Mathematics
1 answer:
steposvetlana [31]3 years ago
8 0
Simplifying
8 + 6t = 3t + t

Combine like terms: 3t + t = 4t
8 + 6t = 4t

Solving
8 + 6t = 4t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-4t' to each side of the equation.
8 + 6t + -4t = 4t + -4t

Combine like terms: 6t + -4t = 2t
8 + 2t = 4t + -4t

Combine like terms: 4t + -4t = 0
8 + 2t = 0

Add '-8' to each side of the equation.
8 + -8 + 2t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 2t = 0 + -8
2t = 0 + -8

Combine like terms: 0 + -8 = -8
2t = -8

Divide each side by '2'.
t = -4

Simplifying
t = -4
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Solve the system of equations. y=23x–19 x2–y= – 6x–23 Write the coordinates as integers, simplified proper or improper fractions
forsale [732]

Answer:

(3, 50) and (14,303)

Step-by-step explanation:

Given the system of equations;

y=23x–19 ....1

x²–y= – 6x–23 ...2

Substitute 1 into 2;

x²–(23x-19)= – 6x–23

x²–23x+19= – 6x–23 .

x²-23x + 6x + 19 + 23  = 0

x² - 17x + 42 = 0

Factorize;

x² - 14x - 3x + 42 = 0

x(x-14)-3(x-14) = 0

(x-3)(x-14) = 0

x = 3 and 14

If x = 3

y = 23(3) - 19

y = 69-19

y = 50

If x = 14

y = 23(14) - 19

y = 322-19

y = 303

Hence the coordinate solutions are (3, 50) and (14,303)

8 0
3 years ago
Tammy deposited $520 in the bank account that earns simple interest every year after 5 years she had earned $156 and interest if
aleksley [76]

Answer:

6%.

Step-by-step explanation:

We have been given that Tammy deposited $520 in the bank account that earns simple interest every year after 5 years she had earned $156.

To find the interest rate we will use simple interest formula.

I=P*r*T

I= Interest.

P= Principal amount.

r=Annual interest rate (in decimal form).

T= Time in years.

We have been given that I=156, T=5, P=520

Upon substituting our values in above formula we will get,

156=520*r*5

156=2600r

r=\frac{156}{2600}

r=0.06

Let us multiply 0.06 by 100 to convert annual interest rate in percentage.

0.06*100=6 \text{ percent}

Therefore, the annual interest rate was 6%.

6 0
4 years ago
According to a study by de Anna students, the height for Asian adult males is normally distributed with an average of 66 inches
Maslowich
A. X ~ N(66, 6.25)

b.z_{1} =\frac{65-66}{2.5}=-0.4
z_{2} =\frac{69-66}{2.5}=1.2
Using a standard normal probability table to find probability values for the z-scores, we get:
P(65 < X < 69) = 0.1554 + 0.3849 = 0.5403

c. z= 0.524 and -0.524
0.524=\frac{X-66}{2.5}
1.31 = X - 66
X = 67.31
When z = -0.524, X = 64.69.
P(64.69 < X < 67.31) = 0.4

4 0
3 years ago
Floyd is an aspiring music artist. He has a record contract that pays him a base rate of \$200$200dollar sign, 200 a month and a
Thepotemich [5.8K]
Floyd's contract consists of
(i) $200 per month fixed.
(i) $12 per album sold.

Let x =  number of albums sold last month.
Because total earnings is $644, therefore
200 + 12x = 644

To find x, do the following:
Subtract 200 from each side.
12x = 644 - 200 = 444
Divide each side by 12.
x = 444/12 = 37

Answer:
The equation is 12x + 200 = 644.
The solution for x (number of albums sold) is 37.

5 0
3 years ago
In a sample of 30 coin flips, heads came up 6 times. What is the sample proportion for heads?
Kitty [74]
You would divide 6 by 30.
6/30=0.2
Therefore the answer is D
6 0
4 years ago
Read 2 more answers
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