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3 years ago

What is the solution to the equation?

Mathematics

1 answer:

Tanzania [10]3 years ago

4 0

13 3/4 + x = 7 1/4

X=7 1/4-13 3/4

X=-6 2/4

X=-6 1/2

Answer: -6 1/2

You might be interested in

What is the equation for this line

pogonyaev

The equation of the line is $y=\frac{-1}{5} x-\frac{21}{5}$ .

Solution:

The points on the line are (–6, –3) and (4, –5).

$x_{1}=-6, y_{1}=-3, x_{2}=4, y_{2}=-5$

Slope of the line:

$$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$$m=\frac{-5-(-3)}{4-(-6)}$

$$m=\frac{-5+3}{4+6}$

$$m=\frac{-2}{10}$

$$m=\frac{-1}{5}$

Point-slope formula:

$y-y_{1}=m\left(x-x_{1}\right)$

$$y-(-3)=\frac{-1}{5}(x-(-6))$

$$y+3=\frac{-1}{5}(x+6)$

$$y+3=\frac{-1}{5} x-\frac{6}{5}$

Subtract 3 from both sides of the equation.

$$y=\frac{-1}{5} x-\frac{21}{5}$

The equation of the line is $y=\frac{-1}{5} x-\frac{21}{5}$ .

6 0

3 years ago

The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expect

Softa [21]

Answer:

For Australia: 22,044,350

For China: 1,545,744,200

For Mexico: 145,507,500

For Zaire: 92,237,875

Step-by-step explanation:

For Australia: Population in 2000 is 19,169,000 and it is increasing steadily at a rate of 0.6% per year.

Therefore, the population in the year 2025 will be

$19169000[1+\frac{0.6 \times 25}{100} ]= 22,044,350$ (Answer)

For China: Population in 2000 is 1,261,832,000 and it is increasing steadily at a rate of 0.9% per year.

Therefore, the population in the year 2025 will be

$1261832000[1+\frac{0.9 \times 25}{100} ]= 1,545,744,200$ (Answer)

For Mexico: Population in 2000 is 100,350,000 and it is increasing steadily at a rate of 1.8% per year.

Therefore, the population in the year 2025 will be

$100350000[1+\frac{1.8 \times 25}{100} ]= 145,507,500$ (Answer)

For Zaire: Population in 2000 is 51,965,000 and it is increasing steadily at a rate of 3.1% per year.

Therefore, the population in the year 2025 will be

$51965000[1+\frac{3.1 \times 25}{100} ]= 92,237,875$ (Answer)

5 0

3 years ago

Y=2/3(x-5)^2

Anvisha [2.4K]

Answer:

see below

Step-by-step explanation:

The graph opens upward if the sign of the squared term is positive. If that sign is negative, the graph opens downward. The first three equations open upward; the last opens downward.

The line of symmetry is the value of x that makes the squared term zero. Here, that is x=5 for all equations.

y=2/3(x-5)^2: A, D

y=1/2(x-5)^2: A, D

y=3/4(x-5)^2: A, D

y=-4(x-5)^2: B, D

8 0

4 years ago

1 a) 7 x 5/6 work out and simplify

hjlf

7 5 35

-- X -- = -----

1 6 6

hope it helps

7 =7/1

Multiplying Fractions is easy . numerator times numerator and denominator times denominator. then simplify if possible

8 0

3 years ago

Read 2 more answers

Kevin and Randy Muise have a jar containing 92 coins, all of which are either quarters or nickels. The total value of the coins

Artemon [7]

Let n = the number of nickles
Let q = the number of quarters
Then for your problem we have
(1) n + q = 43 and
(2) 5*n + 25*q = 100*6.95 (always work in cents to avoid decimal numbers) or
(3) 5*n + 25*q = 695
Now substitute n of (1) into (3) and get
(4) 5*(43 - q) + 25*q = 695 or
(5) 215 - 5*q + 25*q = 695 or
(6) 20*q = 695 - 215 or

(7) 20*q = 480 or
(8) q = 24
Then using (1) we get
(9) n + 24 = 43 or
(10) n = 19
Let's check these values.
Is (.05*19 + .25*24 = 6.95)?
Is (.95 + 6.00 = 6.95)?
Is (6.95 = 6.95)? Yes
Answer: Kevin and Randy have 19 nickles and 24 quarters in the jar.

7 0

3 years ago