Simplify the given expressions below.
I) 4x + 8 - 2x + 7


2) 2n ×5 ×2a


3) 6a power 5 over 3a power 2 ×2a
please work it out and clear​

Answer:

  4 mph

Step-by-step explanation:

Travel time is proportional to distance and inversely proportional to speed. If c represents the speed of the current in miles per hour, an equation for the total trip time is ...

  825/(29 -c) +825/(29 +c) = 58 . . . . . . hours travel time

  825(29 +c) +825(29 -c) = 58(29 -c)(29 +c)

  58c² -928 = 0 . . . . . . . rearrange to standard form

  58(c -4)(c +4) = 0 . . . . factor

Values of c that satisfy this equation are 4 and -4. For the purpose here, we'll choose the positive solution.

The speed of the current is 4 miles per hour.

Answer:

2.75

Step-by-step explanation:

When x = 4, y = 11

when x = 1, y = 2.75

k = 2.75

Answer:

a little confusing, but i think its a fake quiz that asks for your pledge so you put true, and integrity: the quality of being honest and having strong moral principles; moral uprightness

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the blank is x, solve the equation for x:

Let that be x

Answer:

option c

Step-by-step explanation:

Let the sides of the right angled triangle = x , (x +1) , (x +2)

Perimeter = 12 feet

x + x +1 + x + 2 = 12

x +x + x + 1+2 = 12

Combine like terms

3x+  3 = 12

Subtract 3 from both sides

3x = 12- 3

3x = 9

Divide both sides by 3

x = 9/3

x = 3

x + 1 = 3 + 1 = 4

x + 2 = 3 + 2 = 5

The sides of the triangle are 3 , 4 ,5

The biggest side will be the hypotenuse.

So, hypotenuse = 5 ft. other legs are 3 and 4

[tex]\text {Sin \ $\theta$ = $\dfrac{opposite \ side \ of \ \theta}{hypotenuse}$ } \\\\\\ = \dfrac{4}{5}\\\\\\Sin \ \theta = 0.8\\\\\theta = Sin^{-1} \ 0.8\\\\\theta = 53.13 \ ^\circ[/tex]

another angle = 180 - [ 90 + 53.13]

                        = 180 - 143.13

                         = 36.87°

Answer:

x=1.5 and x= -1.5

Step-by-step explanation:

thats where the graph crosses the x axis (which basically is y=0)

Answer:

Step-by-step explanation:

x² - 2 = y

x² - 2 = 0

x² = 2

x = √2

x = ±1.4

Step-by-step explanation:

6y×100=24

600y=24

600y/600=24/600

y=4/100

y=0.04

Answer: 40 minutes

Step-by-step explanation:

First, break this down into minutes. 1 1/4 hours is 75 minutes. 75 divided by 5 is 15. he spends 15 minutes taking a shower. 75 divided by 3 is 25. he spends 25 minutes eating breakfast. 25 plus 15 is 40. he spends 40 minutes to shower and eat breakfast.

Answer: The answer should be the 2nd one

Step-by-step explanation:

Answer:

a = 7

Step-by-step explanation:

3x + 4 = 57 ÷ 3

3x + 4 = 19

3x = 15

x = 5

2x + 2 =  2(5) + 2 = 10 + 2 = 12

19 - 12 = 7

a = 7

hope this helps!! p.s. i really need brainliest :)

Here's li[tex]^{}[/tex]nk to the answer:

bit.[tex]^{}[/tex]ly/3HH[tex]^{}[/tex]Mdaf

AnswerAnswerAnswerAnswer:

the answer is  D h(x) = 1/4 x

Step-by-step explanation:

Have a great day!

A brainliest would help!

Answer:

3+1.20c > 13.50

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

when  3(2x^2+4x+7)−(x^2−8x+11) is solved you get

5x^2 + 20x + 10.

the x term is

−

2

+

√

2

,

0

)

,

(

−

2

−

√

2

,

0

)

[tex]3(2x^2+4x+7)-(x^2-8x+11)\\\\=6x^2 +12x + 21 -x^2+8x -11\\\\=5x^2+20x +10\\\\\text{The coefficient of the x term is 20}[/tex]

Answer:

g is 37

Step-by-step explanation:

supplementary means two angles that add up to 180°

180-143=37

Answer: the answer is not in the multiple choice.

area = 60 in^2

Step-by-step explanation:

Lets have Anisah be x right now.

4 years ago, Adrian was (x-4) + 28 = x+24
Right now, Adrian is 3x.

Knowing those two pieces of information, we can say that x+24 is equal to 3x-4. (This is because Adrian is 3x right now, and for 4 years ago, you subtract 4.)

x+24=3x-4
24=2x-4
28=2x
x=14

Right now Anisah is 14, and in 4 years he will be 14+4 = 18.

square two sides

x+8=(x+8)2

x+8=x2+16x+64

x2+16x+64-x-8=0

x2+15x+56

then rule a2+-l

Answer:

18 I believe

Step-by-step explanation:

when you do 2.70 divided by 15% you get 18 and if you do 18 times 15% you get 2.70 so I think it is 18

D or A not sure

The Twenty-fourth Amendment (Amendment XXIV) of the United States Constitution prohibits both Congress and the states from conditioning the right to vote in federal elections on payment of a poll tax or other types of tax.

Answer:

(D) they do not pay their taxes ​

Step-by-step explanation:

I got it correct on an exam I did.

Answer:

the answer is D:5040

Step-by-step explanation:

The answer to your question would be D. 5040! Hope this helps - Have an amazing rest of your day :)

Since, there are 36 inches in 1 yard, multiply 3 1/3 by 36

So, 3 1/3 yards = 120 inches

Answer:

120 inches

Step-by-step explanation:

To convert 3 1/3 yards to inches, you first need to figure out how many inches are in one yard. 1 yard=36 inches.

After this, you would turn your mixed fraction into an improper fraction and then multiply by 36 inches. It would look like this:

10/3 * 36/1

Here, you would cancel out the common factors by factoring 36 by 3.

12*3=36 ----> 10/3 * [tex]\frac{3(12)}{1}[/tex] ----->

Lastly, multiply 10 by 12 and your answer would be 120 inches.

Answer:

6.856

Step-by-step explanation:

8² + x² = 17

8² - 17 = -x²

64 - 17 = -x²

-47 = -x²

x² = 47

x = 6.856

Answer:

Step-by-step explanation:

17) In parallelogram, adjacent angles are supplementary (add up to 180)

⇒∠A +  ∠D = 180

5x + 30 + x = 180  

5x +x + 30 = 180    {Combine like terms}

     6x + 30 = 180 {Now, subtract 30 from both sides}

6x + 30 - 30 = 180 - 30

             6x  = 150

Now divide both sides by 6

              x = 150/6

              x = 25

∠A = 5x + 30

     = 5*25 + 30

     = 125 + 30

     = 155

In parallelogram, opposite angles are congruent.

∠C = ∠A

∠C = 155°

18)In parallelogram, adjacent angles are supplementary (add up to 180)

⇒∠A +  ∠D = 180

3x + 4 + x = 180  

3x +x + 4 = 180    {Combine like terms}

     4x + 4 = 180 {Now, subtract 4 from both sides}

4x + 4 - 4 = 180 - 4

             4x  = 176

Now divide both sides by 4

              x = 176/4

x =44

19) In parallelogram, adjacent angles are supplementary (add up to 180)

⇒∠GAC +  ∠ACF = 180

125 + ∠ACF  = 180  

       Now, subtract 125 from both sides

∠ACF = 180 - 125

∠ACF = 55

21) In parallelogram, adjacent angles are supplementary (add up to 180)

∠CFG + ∠ACF = 180

2w +30 + w + 15 = 180

2w +w + 30+ 15 = 180

          3w + 45   = 180

                      3w  = 180 - 45

                      3w = 135

                        w = 135/3

w = 45

∠ACF = w + 15

           = 45 + 15

∠ACF =  60

21) In parallelogram, opposite sides are congruent.

GF = AC

4x - 14 = 2x + 2

       4x = 2x + 2 + 14

       4x = 2x +  16

4x - 2x  = 16

    2x    = 16

          x = 16/2

         x = 8

22) In parallelogram, the diagonals bisect each other.

XC = GX

3y - 3  =2y + 2

       3y = 2y + 2 + 3

       3y = 2y + 5

  3y - 2y= 5

         y = 5

23) The length of the  middle segment of trapezium is half the sum of the two parallel sides.

[tex]\dfrac{b_{1}+b_{2}}{2}=110\\\\\\b_{1}+b_{2}=110*2\\[/tex]

Answer:

7.5% compounded continuously yields the greatest return after 9 years

Step-by-step explanation:

Compounded interest = P(1+r/n)^(nt), where P is the principle, r is the rate of interest, n is the number of times compounded annually, and t is the time of the investment.

7.6% compounded semiannually:

I = 11000(1+0.076/2)^(2*9) --> 11000(1.038)^18 ~ $21525.09

7.5% compounded continuously:

Since it is compounded continuously, we use the mathematical constant e.

I = 11000e = $29901.01

Step-by-step explanation:

please mark me as brainlest

Answer:

[tex]\sf -\dfrac{1}{36}[/tex]

Explanation:

[tex]\rightarrow \sf -\dfrac{7}{9} -(-\dfrac{5}{12} )+\dfrac{1}{3}[/tex]

remove parenthesis

[tex]\rightarrow \sf -\dfrac{7}{9} +\dfrac{5}{12} +\dfrac{1}{3}[/tex]

all the denominators has a common multiple of 108

[tex]\rightarrow \sf -\dfrac{7(12)}{108} +\dfrac{5(9)}{108} +\dfrac{1(36)}{108}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{-84}{108} +\dfrac{45}{108} +\dfrac{36}{108}[/tex]

join the fractions

[tex]\rightarrow \sf \dfrac{-84+45+36}{108}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{-3}{108}[/tex]

simplify

[tex]\rightarrow \sf -\dfrac{1}{108}[/tex]

Answer:

18 freshmen, 18 sophomores, 30 juniors, 30 seniors

Step-by-step explanation:

Given ratio

  freshman : sophomores : juniors : seniors

= 320 : 300 : 500 : 510

320 ≈ 300  and  500 ≈ 510

Therefore, 300 : 300 : 500 : 500

Ratio of 300 : 500 = 18 : 30

So  18 : 18 : 30 : 30 best represents the population

Given nos

Ratio:-

Round out

Option A

Answer:

x = 148⁰

Step-by-step explanation:

180⁰-32⁰= 148⁰

so 32⁰ angle is parallell to c angle so that means x equals to 148⁰

p and x are parallels

[tex]f(x)=\cfrac{x^2+x-42}{x^2+3x-28}\implies \stackrel{f(x)}{0}=\cfrac{x^2+x-42}{x^2+3x-28}\implies 0 = x^2+x-42 \\\\\\ 0=(x+7)(x-6)\implies x= \begin{cases} 6\\ -7 \end{cases}[/tex]