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3 years ago

Solve the system of equations and choose the correct ordered pair.

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

7 0

Multiply first equation by 8,
24x + 40y = 352
Multiply second equation by 3,
24x - 21y = -75

Now, subtract second from 1st,
61y = 427
y = 427/61
y = 7

Substitute it in very first equation,
3x + 5(7) = 44
3x = 44 - 35
x = 9 / 3
x =3

In short, Your Answer would be Option D) (3, 7)

Hope this helps!

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Solve using the quadratic formula 2x^2 + 7x - 15 = 0

marissa [1.9K]

Answer:

1.5 or -5

Step-by-step explanation:

2x²+7x-15=0

Divide by 2:

x²+7x/2-15/2=0

x=-7/2/2 ± √49/4(4)+15/2

=-7/4 ± √49/16+120/16

=-7/4± √169/16=-7/4 ±13/4

=6/4 or -20/4

=1.5 or -5

3 0

2 years ago

Ou want to get an oil change every 4,000 miles. How many oil changes do you get in a year driving 1000 miles a month?

deff fn [24]

3.

1000 miles per month.
12 months in a year.
1000 × 12 = 12000 miles per year

Oil change every 4000 miles.
12000 ÷ 4000 = 3

Therefore 3 oil changes per year.

5 0

3 years ago

Give the equation of the circle centered at the origin and passing through the point (0,5)

Julli [10]

Answer:

$x^{2} +y^{2}=25$

Step-by-step explanation

The standard equation of a circle centered at origin is $x^{2} +y^{2} =r^{2}$

r = radius of the circle

The circle is passing through the point (0,5)

∴ radius $r=\sqrt{(0-0)^{2}+(5-0)^{2} }$

$r=\sqrt{0+25}$

$r=\sqrt{25}$

$r^{2}=25$

∴ The equation of the circle is

$x^{2} +y^{2} = 25$

5 0

3 years ago

QUICK QUICK PLEASE! 1 MINUTE

Dima020 [189]

Step-by-step explanation:

Total tomato plants = 24 + 30 = 54

Total green bean plants = 18 + 25 = 43

The ratio of tomato plants to green bean plants

$= \frac{54}{43} = 54 \: : \: 43$

4 0

3 years ago

Read 2 more answers

Write a function rule that gives the total cost c(p) of pounds of sugar if each pound cost $.59

aliina [53]

Answer: c(p) = 0.59*p

All we do is multiply the price per pound (0.59) by the number of pounds (p). In this case, we don't know how many pounds there are. So we leave p as is. If for instance, we had 10 pounds, then we'd replace p with 10. The variable is simply a placeholder for the unknown number.

4 0

3 years ago