All categories

2 years ago

What is the solution of the system of equations shown in the graph below?

Mathematics

1 answer:

Wittaler [7]2 years ago

6 0

Answer:

The point on the plane (4, 2)

That is x = 4 and y = 2

Step-by-step explanation:

Look for the point where the two lines given by the system of linear equations intersect. That point is (4, 2)

x = 4 and y = 2

You might be interested in

A picture frame (see figure) has a total perimeter of 3 feet. The width of the frame is 0.64 times its length. Find the dimensio

Naya [18.7K]

Answer:

$\approx 0.59\text{ ft by }0.91\text{ ft}$

Step-by-step explanation:

Let $\ell$ represent the length of the rectangle. The width can be represented as $0.64\ell$ .

The perimeter of a rectangle with lengths $l$ and $w$ is given by $p=2l+2w$ .

Thus, we have:

$2\ell+2(0.64\ell)=3,\\2\ell +1.28\ell=3,\\3.28\ell=3,\\\ell=0.91463414634\approx 0.91$

The width is then $0.64(0.91463414634)=0.58536585365\approx 0.59$ .

8 0

2 years ago

Thomas wants to spend no more than $25.50 movies and CDs. If he buys a movie for $9.50 and the CDs cost $5.00, how many CDs can

REY [17]

Answer:

Step-by-step explanation:

25.5-9.5=16

16-15=1 (highest multiple of 5 that fits into 16)

He can buy 3 cds and he will have $1 left over

8 0

2 years ago

Can someone please help me answer this question, I am stuck on this question

svetoff [14.1K]

Step-by-step explanation:

The answer will be 380 inches as of what I have done

5 0

2 years ago

Working together to palms can drain a certain pool in three hours if it takes the older pump nine hours to drain the pool by its

andreyandreev [35.5K]

Answer:

It would take the newer pump 4.5 hours to drain the pool

Step-by-step explanation:

Let's investigate first what is the fraction of the job done in the unit of time (hour in this case) by each pump if the work individually:

older pump: if it takes it 9 hours to complete the job, it does $\frac{1}{9}$ of the job in one hour.

newer pump: we don't know how long it takes (this is our unknown) so we call it "x hours". Therefore, in the unit of time (in one hour) it would have completed $\frac{1}{x}$ of the total job.

both pumps together: since it takes both 3 hours to complete the job, in one hour they do $\frac{1}{3}$ of the job.

Now, we can write the following equation about fractions of the job done:

<em>The fraction of the job done by the older pump plus the fraction of the job done by the newer pump in one hour should total the fraction of the job done when they work together.</em> That is in mathematical terms:

$\frac{1}{9} +\frac{1}{x} =\frac{1}{3}$

and solving for x:

$\frac{1}{9} +\frac{1}{x} =\frac{1}{3} \\x+9=3x\\2x=9\\x=\frac{9}{2} \,\,hours\\x = 4.5\,\,hours$

4 0

2 years ago

What is the diameter and circumference of 6.7

irinina [24]

3.572

Area of a circle in terms of radius:

Area = π · r2 = 3.14 · 1.072 = 3.57 square meters.

In terms of diameter:

Area = π · (d

)2 = 3.14 · (2.13

)2 = 3.14 · (1.07)2 = 3.57 square meters.

In terms of circumference:

Area = C2

4π

= 6.72

4π

= 44.89

(4 · 3.14)

= 44.89

12.56

= 3.57 square meters.

Note: for simplicity, some results may be rounded to nearest hundredth and π was rounded to 3.14. See formula details below in this page.

A circle of radius = 1.066 or diameter = 2.133 or circunference = 6.7 meters has an area of 3.572 square meters which is equal to:

3.572E-6 square kilometers (km²)

35720 square centimeters (cm²)

0.0008827 acres (ac)

0.0003572 hectares (ha)

1.379E-6 square miles (mi²)

4.272 square yards (yd²)

38.45 square feet (ft²)

5537 square inches (in²)

Formulae:

Circle area formula

8 0

2 years ago

Read 2 more answers