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3 years ago

Solve: 2y + 5x=30 y = 3x + 4

1 answer:

6 0

Replace the second equation y=3x+4 into the first one:
2(3x+4)+5x=30
Now solve for x:
6x+8+5x=30
11x=30-8
11x=22
x=22/11
x=2
Finally, replace x=2 into y=3x+4
y=3*2+4
y=6+4 = 10
So the anwer is x=2, y=10

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2 years ago

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8090 [49]

Answer:

D. x=(1/6)y^2

Step-by-step explanation:

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1 year ago

How do you Convert feet to metres<br>

poizon [28]

The conversion of feet to meters is obtained by multiplying 1 foot = 0.3048 meters.

<h3>What are the basic measurements for length?</h3>

Foot, inches, centimeters, and meters are the basic measuring units for length.

<h3>What are the basic conversions?</h3>

The basic conversions are:

1 kilometer = 1000 meters

1 meter = 100 cm

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1 mm = 0.03937 inch

1 inch = 0.0833 feet.

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According to the international system of units,

1 foot = 12 inches ...(1)

But we know,

1 inch = 25.4 mm, 1 mm = 0.1 cm, and 1 cm = 0.01 m

By substituting all of these in equation (1), we get

1 foot = 12(25.4 mm)

= 304.8 mm

= 304.8 (0.1 cm)

= 30.48 cm

= 30.48(0.01 m)

= 0.3048 meters

Therefore, 1 foot = 0.3048 meters.

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4 0

2 years ago

Match the solid figure to the appropriate formula.

AlekseyPX

1. $L \cdot A=\pi r l$ - Cone

2. $V=\frac{4}{3} \pi r^{3}$ - Sphere

3. $T \cdot A=2 \pi r h+2 \pi r^{2}$ - Cylinder

4. $V=\frac{1}{3} B h$ - Pyramid

5. $L . A=p h$ - Prism

Solution:

1. $L \cdot A=\pi r l$

Lateral surface area of cone = $\pi r l$

where r is the radius of the cone and l is the slant height of the cone.

2. $V=\frac{4}{3} \pi r^{3}$

Volume of sphere = $\frac{4}{3} \pi r^{3}$

where r is the radius of the sphere.

3. $T \cdot A=2 \pi r h+2 \pi r^{2}$

Total surface area of cylinder = $2 \pi r h+2 \pi r^{2}$

where r is the radius of the cylinder and h is the height of the cylinder.

4. $V=\frac{1}{3} B h$

Volume of pyramid = $\frac{1}{3} B h$

where B is the base area of the pyramid and h is the height of the pyramid.

5. $L . A=p h$

Lateral surface area of prism = $p h$

where p is the perimeter of the base and h is the height of the prism.

4 0

2 years ago

John invests a sum of money in a

nexus9112 [7]

Answer: 0.000007638035

Step-by-step explanation:

We can use the formula for compound interest to solve this.

Now, the formula goes thus:

A = P ( 1 + r/n)^nt

Where A is the amount compounded, P is the initial amount I.e the principal, r is the rate in % , t is the time while n is the number of times the interest is compounded per time I.e how many times per year.

From the question, we get the following parameters, A = $1912.41 , P = ? , t = 15 years, r = 2.63% and n = 1 of course.

Now, we substitute these into the formula

1912.41 = P ( 1 + 2.63) ^ 15

1912.41 = P ( 3.63) ^ 15

1912.41 = P ( 250,379,850)

P = 1912.41 ÷ 250,379,850

P = 0.000007638035

Looks pretty funny an answer right?

6 0

2 years ago