are 4x and 15 + x equivalent expressions? Explain your reasoning

Answer:

117.2

Step-by-step explanation:

Rounding a number to the nearest tenth:

A number rounded to the nearest tenth will have one decimal place.

To do this, we look at the second decimal digit.

If it is less than 5, the first decimal digit is kept.

Otherwise, one is added to the first decimal digit.

In this question:

117.22666

The second decimal digit is 2, which means that we keep the first decimal digit which is also 2.

So, the number rounded to the nearest tenth is 117.2.

Answer:

Step-by-step explanation:

The length of AB = 1 unit.

area of square = 1² unit² = 1 square unit.

Answer:it is 1

Step-by-step explanation:

Answer:

702

Step-by-step explanation:

because 74 x 9 = 666 and 702 is close

Answer:

The answer is two dollars.

Step-by-step explanation:

She had 10.00 to begin with and she spent $4.25 and $3.75. If you add the money she spent, and then subtracted the 10 dollars she had to begin with she would have $2.00.

Answer:

where is the rest of the questions

Answer:where the numbers ? like a.3,b.5 somethin like that

Step-by-step explanation:

but its True

7/12>9/167

0.583333>0.053892

true

Answer:

B

Step-by-step explanation:

Answer:

12 + 4x

Step-by-step explanation:

To solve this you would have to use the distributive property.

The problem would basically go like this.

4 (3+x)

(Distribute)

(4x3) (4 x X)

4x3 = 12, 4 x x = 4x

So the answer would be 12 +4x

Hope this helps :)

Answer:

12+4x

Step-by-step explanation:

4(3+x)

1️⃣Expand by distributing terms.

4*3+4x

2️⃣Simplify 4*3 to 12

12+4x

Answer: 12+4x

Done ✔

I think how you approach this depends on your knowledge of calculus.

If you don't know how to compute definite integrals yet, but you do know that they represent signed areas under curves, then you can plot both curves |x - 4| and √(36 - x ²), then recognize that the areas represented by these integrals are areas of geometric shapes. (See attached images)

First integral: if you plot |x - 4| on the interval [3, 6], you'll see that the integral corresponds to the area of two triangles. One of them has base = height = 1, and the other has base = height = 2. Then

[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\frac12\times1\times1+\frac12\times2\times2=\frac52[/tex]

Second integral: if [tex]y=\sqrt{36-x^2}[/tex], then [tex]x^2+y^2=6^2[/tex], meaning this curve is the upper half of a circle with radius 6. On the interval [-6, 0], the area amounts to 1/4 of the total area of such a circle, so that

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=\frac{\pi\times6^2}4=9\pi[/tex]

* * *

If you already know a few things about calculus and integration, you can compute these areas directly.

First integral:

[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\int_3^4(4-x)\,\mathrm dx+\int_4^6(x-4)\,\mathrm dx[/tex]

[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\left(4x-\frac{x^2}2\right)\bigg|_{x=3}^{x=4}+\left(\frac{x^2}2-4x\right)\bigg|_{x=4}^{x=6}[/tex]

[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\left(\left(4\times4-\frac{4^2}2\right)-\left(4\times3-\frac{3^2}2\right)\right)+\left(\left(\frac{6^2}2-4\times6\right)-\left(\frac{4^2}2-4\times4\right)\right)[/tex]

[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\frac52[/tex]

Second integral:

Substitute x = 6 sin(t ) and dx = 6 cos(t ) dt, then

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=\int_{-\frac\pi2}^0\sqrt{6^2-(6\sin(t))^2} (6\cos(t))\,\mathrm dt[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) \sqrt{1-\sin^2(t)} \,\mathrm dt[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) \sqrt{\cos^2(t)} \,\mathrm dt[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) |\cos(t)| \,\mathrm dt[/tex]

For t ∈ [-π/2, 0], cos(t ) > 0, so |cos(t )| = cos(t ) :

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos^2(t)\,\mathrm dt[/tex]

Recall the half-angle identity,

cos²(t ) = (1 + cos(2t )) / 2

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\int_{-\frac\pi2}^0(1+\cos(2t))\,\mathrm dt[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\left(t+\frac{\sin(2t)}2\right)\bigg|_{t=-\frac\pi2}^{t=0}[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\left(\left(0+\frac{\sin(2\times0)}2\right)-\left(-\frac\pi2+\frac{\sin\left(2\times\left(-\frac\pi2\right)\right)}2\right)\right)[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=9\pi[/tex]

a) SR

b) QR

c) RW and RV

RT and RS

RU and RQ

Answer:

0.66? (0.67 if you rounded it)

Step-by-step explanation:

2*1/3

2/3 = 0.6666666666

Answer:

it's the3rd one

Step-by-step explanation:

it's is 182 feet

Answer:

c

Step-by-step explanation:

now are you going to get 3 seconds out of a second

Answer:

C

Step-by-step explanation:

C dosen't even make sence, so I think it is C.

Answer: x > 2/3

Step-by-step explanation:

-1 - x/2 < x

Simplify:

-1/2x + 1 < x

Subtract x from both sides:

-1/2x + 1 - x < x - x

-3/2x + 1 < 0

Subtract 1 from both sides:

-3/2x + 1 - 1 < 0 - 1

-3/2x < -1

Multiply both sides by 2/(-3):

2/(-3) (-3/2) < 2/(-3) (-1)

x > 2/3

Answer:

15

Step-by-step explanation:

60×1÷4=15(1/4)

60-15=45

45×2÷3=30(2/3)

45-30=15

Answer:

What equation...................wait nvm

Answer with  explanation:

y+1 = 26     ;      y = 26-1 = 25

x-2 = 19           ;    x = 19+ 2 = 21

I hope im roght!!

Answer:

10%

Step-by-step explanation:

first let's write out the problem

0.99 is what percent of 9.90     =        0.99=9.90*x

We need to   what c is so we would do the opposite operation of multiplication, division so we get,

0.99/9.90= .1

now we turn .1 into  percent and get out answer

0.1= 10%

Answer:

Step-by-step explanation:

ahh that's like a math tongue twister  :P

so just remember that when you are given the final amount, as the 0.99 is,  then you want to divide by the total, like this

0.99 / 9.90 =  

we don't really need a calculator for this,  b/c you can see that the answer will come out to a one,  but, where is the decimal, huh

my calculator put the decimal here  0.1

so that's 10% right?  which totally makes sense.. right?    0.99 is 10% of 9.90... just move the decimal one place in the 9.9 to get  .99  see?  so that kinda helps us know where the decimal goes in the answer, if that make sense? The decimal gets moved one place to the  LEFT  of the one, in our answer when we just did the math in our head.

anyway.. leave a comment if you have more questions :)

Answer:

42 - 6 - 6 - 6 - 6 - 6 - 6 - 6 = 0

or

42 - 7 - 7 - 7 - 7 - 7 - 7 = 0

Answer:

200+60+4

Step-by-step explanation:

200+60+4=264

Answer:

25 liters of the 16% solution should be added.

Step-by-step explanation:

pure acid amount + pure acid amount = total pure acid amount

0.02*10          + 0.16*x           = 0.12*(10+x)     <<<---=== it is your balance equation;  x is the amount (in liters) of the 16% solution.

0.02*10 + 0.16x = 0.12*10 + 0.12*x

0.16*x - 0.12*x = 0.12*10 - 0.02*10

(0.16 - 0.12)*x = 0.12*10 - 0.02*10

x = %280.12%2A10-0.02%2A10%29%2F%280.16-0.12%29 = 25.

Answer.  25 liters of the 16% solution should be added.

Check.   %280.02%2A10+%2B+0.16%2A25%29%2F%2810+%2B+25%29 = 0.12 = 12% of concentration of the final mixture.   ! Correct !

Answer:

-4x^9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

2(x - 3)

Step-by-step explanation: