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4 years ago

Solve the system using elimination

1 answer:

6 0

Eliminate x's
multiply 2nd equation by -2 ad add to first

2x+3y=9
-2x-10y=-16 +
0x-7y=-7

-7y=-7
divide by -7
y=1

sub back

2x+3y=9
2x+3(1)=9
2x+3=9
minus 3
2x=6
divide 2
x=3

x=3
y=1

(x,y)
(3,1)

D

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How much higher is the average cost at a clinic than the average cost at a shelter?

Doss [256]

Answer: the answer is 50

Step-by-step explanation: I got it right in the quiz

3 0

3 years ago

The front of an A-frame cabin in a national park is the shape of a triangle with an area of 564 ft.² if the height is 1 feet les

aleksandrvk [35]

Answer:

Base = 24 ft; height = 47 ft

Step-by-step explanation:

The formula for the area of a triangle is

A = ½bh

Let x = the base. Then

2x - 1 = the height

$\begin{array}{ccc}A & = & \dfrac{1}{2}bh\\\\564 & = & \dfrac{1}{2}x(2x - 1)\\ \\1128 & = & x(2x - 1)\\& = & 2x^{2} - x\\2x^{2} - x - 1128 & = & 0\\(2x + 47)(x - 24) & = & 0\\2x + 47 = 0 &\qquad & x - 24 = 0\\2x = -47 & \qquad & x = \mathbf{24}\\x = -23.5 & \qquad & \\\end{array}$

We reject the negative value, so x = 24 ft

Base = x = 24 ft

Height = 2x - 1 = 2(24)-1 = 48 - 1 = 47 ft

Check:

564 = ½ × 24 × 47

564 = 564

3 0

3 years ago

Convert $8.25 per hour to dollars per year , with work

Keith_Richards [23]

8.25*40= $330 a week

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3 0

3 years ago

The distance between Reeta's house and her office is 14 km. She covers 10 km 65 m by scooter, 3 km 75 m by bus and the rest on f

Alexandra [31]

Answer:

She covered 0.86 km or 860m by walking.

Step-by-step explanation:

Given:

➮ Distance between Reeta's house and her office is 14km.

She covers 10km 65m by Scooter.
Then, 3km 75m by Bus.
And rest of distance covered by foot.

To Find:

➮ How much distance covered by foot/walking ?

Solution:

To find the distance covered by foot = Total distance - Sum of distance covered through scooter and bus.

Sum of distance covered through scooter and bus:-

As, we know:

• 1km = 1000m

⇒ 10km = 10×1000

= 10000m

⇒ 3km = 3×1000

= 3000m

So, 10000m + 65m ➝ 10065m

3000 + 75m ➝ 3075m

➝ 10065m + 3075m

➝ 13140m

• 13140m into km:-

⇒ 13.14km

Now, Finding the distance covered by walking:

➝ 14km - 13.14km

➝ 0.86km

Hence, She covered 0.86km or 860m by walking.

6 0

2 years ago

One evening, 2/3 of Mrs. Thorne’s students watched a reality television show. Of Mrs. Lombardo’s students, 4/5 watched the same

nalin [4]

Answer:

They both had the same amount of students watch the reality show.

Step-by-step explanation:

To find the number of students who watched the reality show in each teacher's class, just multiply the fraction by the total number of students per teacher.

For Mrs. Thorne's:

36 * (2/3) = 24 students

For Mrs. Lombardo's:

30 * (4/5) = 24 students

24 = 24 so they had an equal amount of students from each class watch the reality show.

4 0

3 years ago