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4 years ago

Explain how you could convert 3/4 ton to ounces

1 answer:

8 0

Well knowing a ton is 2000lbs and 3/4 of that is 1500lbs, you would just need to multiply 1500 by gow many ounces are in a pound, which happens to be 16.
16 × 1500 = 24,000 ounces

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Prove that there are no solutions in integers x and y to the equation 2x^2 + 5y^2 = 14

iren [92.7K]

Solve the equation for y using the formula for slope: y + mx + b

2x^2 + 5y^2 = 14
5y^2 = -2x^2 + 14
y^2 = -2/5x^2 + 14/5
y = the sq root of -2x^2/5 + 14/5

There is no integer solution to the square root of a negative number.

5 0

3 years ago

Last year, a gardening store ordered 530,570 potted plants. This year, they ordered 424,456 potted plants. What is the percent o

Katen [24]

Answer:

last year = 530570

this year = 424456

decreased plants = 530570-424456 = 106114

decreased percent = 106114÷530570×100%

= 20%

therefore 20% is the decrease precent in the number of potted plants ordered anually

5 0

3 years ago

The cost of renting a table at the flea market is based on a fixed price per day plus an initial registration fee. If it costs $

Simora [160]

Answer:

c = 15d + 30

Step-by-step explanation:

Hey there!

This can be represented by an equation of a line, where the number of days is our x-values(d), and the price is our y-values(c).

The price for one day ($45) and the price for 4 days($90) are specific points on that line.

The points are (1, 45) and (4, 90).

We can first find the slope of the line:

As the price rises 45, the days increase by 3
Slope = rise/run
Slope = 45/3
Slope = 15

Now we can find the base price, by plugging the slope and a point into the equation y = mx + b.

Solve for b:

y = mx + b
45 = 15(1) + b
45 = 15 + b
30 = b

The base price (b) is 30.

The equation is $\text{\boxed{c = 15d + 30}}$

6 0

2 years ago

What is the center of the circle and the radius of 2x^2 - 12x +2y^2 +8y = 10

DedPeter [7]

Answer:

the center of the circle, (h, k), is (3, -2),

and the radius is √18, or 3√2.

Step-by-step explanation:

This problem becomes much easier if you divide it through by 2:

x^2 - 6x +y^2 +4y = 5

Next, regroup this equation so that the x terms are together and the y terms are also together, separately:

x^2 - 6x + y^2 + 4y = 5

Next, complete the square of x^2 - 6x:

x^2 - 6x → x^2 - 6x + 9 - 9 → (x - 3)^2 - 9.

Then complete the square of y^2 + 4y:

y^2 + 4y + 4 - 4 → (y + 2)^2 - 4

Now rewrite x^2 - 6x + y^2 + 4y = 5 as

(x - 3)^2 - 9 + (y + 2)^2 - 4 = 5

Next, group the constants together on the right side:

(x - 3)^2 - 9 + (y + 2)^2 - 4 = 5 → (x - 3)^2 + (y + 2)^2 = 18

Comparing this result to the standard equation of a circle:

(x - h)^2 + (y - k)^2 = r^2,

we see that h = 3, y = -2 and r^2 = 18.

Thus, the center of the circle, (h, k), is (3, -2),

and the radius is √18, or 3√2.

6 0

3 years ago

Please help me. I've been trying to solve it for about 30 minutes, just this one question. The function f(x)=2^x and g(x)=f(x+k)

Cloud [144]

G(x) would be exponential. Additionally, the exponential is shifted down 5.

6 0

4 years ago