All categories

3 years ago

Which ordered pair is a solution of the equation ?

Mathematics

1 answer:

Gekata [30.6K]3 years ago

7 0

Answer:

C. Both of the above answers

Step-by-step explanation:

13 = -6(-2) + 1

13 = 12 + 1

13 = 13

7 = -6(-1) + 1

7 = 6 + 1

7 = 7

You might be interested in

Identify the probability to the nearest hundredth that a point chosen randomly inside the rectangle is in the square. Only answe

wel

Answer:

$0.07$

Step-by-step explanation:

we know that

The probability that a point chosen randomly inside the rectangle is in the square is equal to divide the area of the square by the area of rectangle

Let

x-----> the area of square

y----> the area of rectangle

P -----> the probability

$P=\frac{x}{y}$

<em>Find the area of square (x)</em>

$A=5^{2}=25\ in^{2}$

<em>Find the area of rectangle (y)</em>

$A=25*15=375\ in^{2}$

Find the probability P

$P=\frac{25}{375}=0.07$

7 0

3 years ago

The base of a triangle is twelvetwelve more than twice its height. if the area of the triangle is 4545 square centimeters, find

mr Goodwill [35]

In order to begin we must start off with the formula for the area of a triangle, which is a=1/2b(h) where a is area, b is base, and h is height.

In this scenario, we know that the area is 45cm^2 and the base is 2h+12 (since it is twice it’s height plus twelve). We can plug this into the area equation and then proceed to solve out accordingly.
a=1/2b(h)
45=1/2(2h+12)(h)
90=(2h+12)(h)
90=2h^2 + 12h
0= 2h^2 + 12h - 90

Simplify by dividing the two out.

h^2 + 6h - 45 = 0.

Now plug into the quadratic formula (with a=1, b=6, and c=-45) as shown in the image below.

After plugging the equation in and solving, we come to the idea that h is roughly equal to 4.34. We can now plug this back into the triangle area formula to solve out for b.
a=1/2b(h)
45=1/2(2h + 12)(h)
45=1/2(20.69)(4.34)
45=45.

In conclusion;
The height is ≈ 4.34
The base is ≈ 8.68

Hope this helps :)

6 0

3 years ago

The price of apples went from $1.99 per lb to $3.19 per lb in four years. Find the rate of change of the price of apples.

navik [9.2K]

3.19 - 1.99 = 1.20 increase in 4 years

1.20/4 = 0.30

rate of change is 0.30 per year (30 cents per year)

3 0

3 years ago

Read 2 more answers

To solve for y in the equation 2y + y = 5, what first step would need to be taken? Subtract 2 from each side. Add 2y and y. Subt

cricket20 [7]

Answer:

Add 2y and y.

Step-by-step explanation:

you have to combine what is common

plz give brainliest

4 0

3 years ago

The combustion of one gallon of automobile fuel produces about 5 pounds of carbon (in CO₂). Two autos are making a trip of 600 m

rewona [7]

Answer:

Approximately 50 pounds less carbon (in CO₂) will be produced by the second auto on this trip.

Step-by-step explanation:

We have been given that the combustion of one gallon of automobile fuel produces about 5 pounds of carbon (in CO₂). Two autos are making a trip of 600 miles.

Let us find amount of fuel used by autos by dividing the total distance by their mileage.

$\text{Fuel used by 1st auto}=\frac{\text{ 600 miles}}{\frac{\text{ 20 miles}}{\text{gallon}}}$

$\text{Fuel used by 1st auto}=\frac{\text{ 600 miles}}{\text{ 20 miles}}\times \text{gallon}$

$\text{Fuel used by 1st auto}=30 \text{ gallons}$

$\text{Fuel used by 2nd auto}=\frac{\text{ 600 miles}}{\frac{\text{ 30 miles}}{\text{gallon}}}$

$\text{Fuel used by 2nd auto}=\frac{\text{ 600 miles}}{\text{ 30 miles}}\times \text{gallon}$

$\text{Fuel used by 2nd auto}=20 \text{ gallons}$

Let us find the difference of fuel used by both autos.

$\text{Number of gallons that 2nd auto used less than 1st auto}=30-20$

$\text{Number of gallons that 2nd auto used less than 1st auto}=10$

Since one gallon of automobile fuel produces about 5 pounds of carbon, so 10 gallons of fuel will produces $5\times 10=50$ pounds of carbon.

Since 2nd auto used 10 gallons less than 1st auto, therefore, 2nd auto will produce 50 pounds less carbon than 1st auto.

8 0

3 years ago