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Firdavs [7]
3 years ago
11

One number is six less than a second number. Six times the first is 8 more than 4 times the second. Find the numbers.

Mathematics
1 answer:
irinina [24]3 years ago
3 0

Answer:

x-6=y

6x= 8+4y

Step-by-step explanation:

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In New York State, the minimum wage has grownexponentially. In 1966, the minimum wage was$1.25 an hour and in 2015, it was $8.75
Alona [7]

The Solution.

In 1966, which is the initial year(t); t = 0, and minimum wage(y), y = $1.25

Similarly.

In 2015, t = 49 years , (that is, 1966 to 2015), and y = $8.75

The rate of growth to the nearest percent is

\text{Rate of growth =}\frac{y_2-y_1}{t_2-t_1}\times100\begin{gathered} \text{Where y}_2=8.75,t_2=49\text{ years} \\ y_1=\text{ \$1.25},t_1=0 \end{gathered}

Substituting into the formula above, we get

\text{Rate of growth =}\frac{8.75-1.25}{49-0}\times100\text{Rate of growth = }\frac{7.5}{49}\times100=15.31\approx15\text{ \%}

Hence, the correct answer is 15%

8 0
1 year ago
∆ABC is translated 2 units down and 1 unit to the left. Then it is rotated 90° clockwise about the origin to form ∆A′B′C′. The c
Ivenika [448]

Answer:

A'(-2, 1), B'(1, 0), C'(-1, 0)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

If a point X(x, y) is translated a units right and b units down, the new location is X'(x + a, y + b) whereas if a point X(x, y) is translated a units left and b units up, the new location is X'(x - a, y - b).

If a point X(x, y) is rotated 90° clockwise about the origin, the new location is X'(y, -x)

From the image attached, ∆ABC is at A(0, 0), B(1,3) C(1, 1)

If ∆ABC is translated 2 units down and 1 unit to the left (x - 1, y - 2), the vertices would be A*(-1, -2), B*(0, 1), C*(0, -1)

If it is then rotated 90° clockwise about the origin, the new location is A'(-2, 1), B'(1, 0), C'(-1, 0)

7 0
3 years ago
-2x^(3) +3=-1x^(3) -1x^(2) +1x+1
Natali5045456 [20]
-2x³ + 3 = -x³ - x² + x + 1

Add x³ to both sides, and subtract 3 from both sides.

-2x³ + x³ = -x² + x + 1 - 3

Add like terms.

-x³ = -x²+ x - 2

Move all of the (X's) to both sides, by adding x² to both sides, and subtracting x form both sides.

-x³ + x² - x = -2

~Hope I helped!~
7 0
3 years ago
Tamara needs to buy motor oil to fill the 7 empty cylindrical barrels at her oil service center. Each barrel is 4.5 ft deep and
Lerok [7]

Answer:

addition and multiplication

Step-by-step explanation:

add 4.5 + 1.5 to get 6 ft and then multiply that by 7

6 0
3 years ago
235+123= solve using a number line
Agata [3.3K]
The answer is 358....
5 0
3 years ago
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