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4 years ago

Rewrite 3/4x+2=9/10 so that it doesn’t have fractions

Mathematics

1 answer:

Oksana_A [137]4 years ago

7 0

The equation with no fractions is:

30x + 80 = 36

Solution:

Given that the equation is:

$\frac{3}{4}x+2=\frac{9}{10}$

We have to rewrite the equation such that there is no fraction

From given expression,

$\frac{3}{4}x+2=\frac{9}{10}$

Simplify the left hand side of equation

$\frac{3x+8}{4} = \frac{9}{10}$

Cross multiply to get a simpler equation

$10(3x+8) = 9 \times 4\\\\Simplify\ the\ above\ expression\\\\30x + 80 = 36$

Thus the equation is rewritten with no fractions

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The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati

makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

$y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\$

And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

$A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708$

And if you rotate the second region around the x axis you get that

$A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472$

And the sum would be 1.5708+1.0472 = 2.618

7 0

4 years ago

The house numbers on the north side of Flynn Street are even. In one block, the house numbers begin 1022, 1032, 1042, and 1052.

never [62]

Answer:

6 houses away

Step-by-step explanation:

You can write down the house numbers and count them:

1032, 1042, 1052, 1062, 1072, 1082

1082 is the 6th house from where Taylor is.

___

You can also recognize that (1082 -1022)/10 = 60/10 = 6 is the number of houses away from the house at 1022.

4 0

3 years ago

The first four terms of an arithmetic sequence are given by a1= 6, a2 = 12,

Advocard [28]

Answer:

an=6+6(n-1)

Step-by-step explanation:

6 0

3 years ago

6a-2(4a-5)=40 How do I solve it

Elza [17]

Answer:

Distribute, then combine like terms, subtract 10 from both sides of the equation, simplify, divide both sides of the equation by the same term, and simplify to get your solution.

Step-by-step explanation:

1.) Distribute

6−2(4−5)=40

6−8+10=40

2.) Combine like terms

6a-8a+10=40

-2a+10=40

3.) Subtract 10 from both sides of the equation

-2a+10=40

-2a+10-10=40-10

4.) Simplify

subtract the numbers

-2a+10-10=40-10

-2a=40-10

subtract the numbers

-2a=40-10

-2a=30

5.) Divide both sides of the equation by the same term

-2a=30

$\frac{-2a}{-2} =\frac{30}{-2}$

6.) Simplify

cancel terms that are in both the numerator or denominator

$\frac{-2a}{-2} =\frac{30}{-2}$

a= $\frac{30}{-2}$

Divide the numbers

a= $\frac{30}{-2}$

a=-15

a=-15

7.) Solution

a=-15

8 0

3 years ago

Cost of tickets is 90. 7 adult tickets and 12 kids tickets. Kids tickets 2/3 the adult ticket. How much are adult tickets

STatiana [176]

7x+12y=90
y = 2/3x

15x=90
x = 6
6 dollars

4 0

3 years ago