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2 years ago

3x+30+x=10+2x+5x+2 i need help fast

Mathematics

1 answer:

kupik [55]2 years ago

4 0

Answer:

x=6

Step-by-step explanation:

Group Like Terms:

3x+x+30=10+2x+5x+2

Add similar elements 3x+x=4x:

4x+30=10+2x+5x+2

Add similar elements 2x+5x=7x:

4x+30=10+7x+2

Group like terms:

4x+30=7x+10+2

Add the numbers 10+2=12:

4x+30=7x+12

Subtract 30 from both sides:

4x+30-30=7x+12-30

Simplify:

4x=7x-18

Subtract 7x from both sides:

4x-7x=7x-18-7x

Simplify:

-3x=-18

Divide both sides by -3:

$\frac{-3x}{-3} =\frac{-18}{-3}$

Simplify:

x=6

Hence, the correct answer is 6

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ivolga24 [154]

Given:

Two jugs are similar. The smaller jug has radius 4 cm and the bigger jug has radius 6 cm and surface area 125 cm².

To find:

The area of the smaller jug.

Solution:

If two figures are similar, then the ratio of their areas is proportional to the square of the corresponding sides of the figures.

Two jugs are similar. So,

$\dfrac{\text{Area of smaller jug}}{\text{Area of bigger jug}}=\dfrac{(\text{Radius of smaller jug})^2}{(\text{Radius of bigger jug})^2}$

$\dfrac{\text{Area of smaller jug}}{125}=\dfrac{(4)^2}{(6)^2}$

$\dfrac{\text{Area of smaller jug}}{125}=\dfrac{16}{36}$

$\text{Area of smaller jug}=\dfrac{4}{9}\times 125$

$\text{Area of smaller jug}\approx 55.56$

Therefore, the area of the smaller jug is about 55.56 cm².

6 0

3 years ago

Read 2 more answers

Solve the system of linear equations by substitution.<br><br> 8x−13y=0<br> 12x+3=y

Oliga [24]

Answer:

x = - 39/148

y = -6/37

Step-by-step explanation:

substitute the given value of y into the equation to get 8x-13 (12x+3)=0

solve for x to get x= - 39/148

substitute the given value of x into 12x+3=y

12 x (-39/148) + 3 = y

-6/37 = y

7 0

2 years ago

Write the equation in standard form for the circle that has a diameter with endpoints (6, -9)

nevsk [136]

Answer:

Step-by-step explanation:

By definition a diameter goes through the center of the circle. So if we find the midpoint of the diameter, we will have the h and k of the center. Then we will use one of the points ON the circle as x and y and solve for r. Here goes:

$M=(\frac{6+(-6)}{2},\frac{-9+(-9)}{2})$ to get a midpoint/center of (0, -9).

The standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$

Filling in with h, k, x, and y:

$(6-0)^2+(-9-(-9))^2=r^2$ which simplifies to

$6^2+0^2=r^2$ so

$r^2=36$

Now we can write the equation of the circle:

$x^2+(y+9)^2=36$

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3 years ago

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What is the Area of Triangle RST? Round your answer to the nearest tenth. *

MaRussiya [10]

Answer:

Step-by-step explanation:

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3 years ago

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A medicine is decaying at a rate of 5% per hour. If there were initially 1000mg of the medicine, how much is left after 4 hours?

Stolb23 [73]

Answer:

814.5 mg remain after 4 hours

Step-by-step explanation:

The multiplier of the original quantity is 1 -5% = 0.95 for each passing hour. The amount remaining after x hours is ...

y = 1000·0.95^x

For x=4, the amount remaining is ...

y = 1000·0.95^4 = 1000·0.81450625

y ≈ 814.5 . . . mg remain after 4 hours

8 0

3 years ago