[tex]5x - 3 = 3x + 7[/tex]
​

Answer:

Step-by-step explanation:

STEP

1

:

           x

Simplify   —

           x

Equation at the end of step

1

:

 (3•(x2))

 ————————+((6•1)-8)

  (x-8)  

STEP

2

:

Equation at the end of step

2

:

   3x2      

 ——————— +  -2

 (x - 8)    

STEP

3

:

            3x2

Simplify   —————

           x - 8

Equation at the end of step

3

:

  3x2    

 ————— +  -2

 x - 8    

STEP

4

:

Rewriting the whole as an Equivalent Fraction

4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  (x-8)  as the denominator :

         -2     -2 • (x - 8)

   -2 =  ——  =  ————————————

         1        (x - 8)  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3x2 + -2 • (x-8)     3x2 - 2x + 16

————————————————  =  —————————————

   1 • (x-8)          1 • (x - 8)

Trying to factor by splitting the middle term

4.3     Factoring  3x2 - 2x + 16

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -2x  its coefficient is  -2 .

The last term, "the constant", is  +16

Step-1 : Multiply the coefficient of the first term by the constant   3 • 16 = 48

Step-2 : Find two factors of  48  whose sum equals the coefficient of the middle term, which is   -2 .

     -48    +    -1    =    -49

     -24    +    -2    =    -26

     -16    +    -3    =    -19

     -12    +    -4    =    -16

     -8    +    -6    =    -14

     -6    +    -8    =    -14

Answer:

Dave had most fun for 1.5 minutes.

explanation:

Let the "fun time" be f

total time * portion of time fun  = fun time

[tex]\sf t * p = f[/tex]

[tex]\sf 6 \ * \frac{1}{4} = f[/tex]

[tex]\sf \frac{6}{4} = f[/tex]

[tex]\sf f = 1.5 \ minutes[/tex]

Question was for how many minutes, Dave had fun, so he had fun for 1.5 minutes

Let that half be x

So

[tex]\\ \rm\Rrightarrow x(4)=6min[/tex]

[tex]\\ \rm\Rrightarrow x=6/4[/tex]

[tex]\\ \rm\Rrightarrow x=1.5min[/tex]

Answer:

98 cm

Step-by-step explanation:

sum the parts of the ratio , 2 + 4 + 7 = 13 parts

divide perimeter by 13 to find the value of one part of the ratio.

182 ÷ 13 = 14 cm ← value of 1 part of the ratio , then

2 parts = 2 × 14 = 28 cm

4 parts = 4 × 14 = 56 cm

7 parts = 7 × 14 = 98 cm

the longest side is 98 cm

Answer:

Step-by-step explanation:

Circumference: Pi(D)

Circumference: 3.14x30

Circumference: 94.2

Area: Pi(R)^2

Area: 3.14x15^2

Area: 3.14x225

Area: 706.5

Answer:

20:28 and 30:42

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

10/2 : 14/2 = 5:7

10 * 2 : 14 * 2 = 20:28

Hope this helps.

Answer:

I think the last one?

Step-by-step explanation:

Answer:

1,000g:60sec

or 10 gram every singular second.

Step-by-step explanation:

Answer:

Part A: 1

Explain: The solution for a pair of lines is where they intersect.

Part B: (3,4)

Explain: (3,4) is the place where the lines intersect.

Answer:

3

Step-by-step explanation:

2y - 6y = 5 - 17

-4y = -12

y = 3

9514 1404 393

Answer:

  5x + 12 = 5x - 7

Step-by-step explanation:

There will be no solution when the coefficients of x are the same on both sides of the equal sign and the constants are different. That is the case for ...

  5x + 12 = 5x - 7

This reduces to ...

  19 = 0 . . . . . no value of x will make this be true: NO SOLUTION

Answer:

169

Step-by-step explanation:

Use a proportion:

72/85=x/200

Solve for x

(72)(200)=85x

x=(72)(200)/85

x=169.41≈ 169

She can make 169 of 200 free throws.

Answer:

9.2 liters of milk

Step-by-step explanation:

4600 * 2 = 9200

9200 milliliters = 9.2 liters

Answer:

Go to symbolab . com and enter in the problems, it will give you the answers and show you the steps it took to solve them

Step-by-step explanation:

Answer:

B) 0.42

Step-by-step explanation:

population density=number of people/square units

we plug in 2,100 for the first one but we don't know the second one for that we need the area which is A=π[tex]r^{2}[/tex] so the radius is 40 millimeters so [tex]40^{2}[/tex] =1600 1600*π=5024

2,100/5024=0.417 round it up and it is 0.42

so B) 0.42 is the answer

Answer: I think 288

Step-by-step explanation:

Step-by-step explanation:

please mark me as brainlest chelli

Answer:

[tex]2\frac{5}{9}[/tex]

Step-by-step explanation:

Hi !

2.(5) = 2 5/9

Good luck !

Answer:

The given phrase "The product of c and 3" can be converted into an algebraic equation as C (times) 3

Step-by-step explanation:

I might be wrong but i rlly hope this helps u in some way :)

Answer:

[tex]3c > -26[/tex]

Step-by-step explanation:

"The product of c and 3" means to multiply c with 3: [tex]c * 3[/tex] or [tex]3c[/tex]

"is greater than": [tex]>[/tex]

"-26": -26

Put the terms together:

"The product of c and 3 is greater than 3": [tex]3c > -26[/tex]

Step-by-step explanation:

-3/8 × 1 × -9/10 × -8/3

we know

- × - = +

+ × - = -

therefore, since we have 3 negative factors we get a negative result.

we can ignore the completely neutral multiplication by 1.

-3/8 × -9/10 × -8/3 = -(3×9×8)/(8×10×3) = -9/10

Answer:

y=10

Step-by-step explanation:

y=4x+2

y=4(2)+2

y=8+2

y=10

Answer:

y=10

Step-by-step explanation:

plug-in 2 to x

[tex]y=4(2)+2[/tex]

multiply 4 and 2

[tex]y=8+2[/tex]

add 8 and 2

[tex]y=10[/tex]

Answer:

The answer is 1

Step-by-step explanation:

Answer: 160 miles

Step-by-step explanation: From 10:20 to 12:20 is 2 hours which is 120 minutes and it is 60mph so it is 1 mile per minute. 12:20 to 1:00 is 40 minutes so you add 40 to 120 which makes it 160. So the answer is 160 miles

Answer:

Can I see a picture? Or the angle diagram?

Answer:

180=90+63+4x+3

6=x

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

supplementary angles sum to 180° , then

3x + 15 + 60 = 180 , that is

3x + 75 = 180 ( subtract 75 from both sides )

3x = 105 ( divide both sides by 3 )

x = 35

Answer:

Well the only answer to this question that I can think of is 360 that's because all of the angles in a circle are equal to 360.

Step-by-step explanation:

Answer: x=3

Step-by-step explanation:

Answer:

d) 168 in.³

Step-by-step explanation:

volume = length × width × height

volume = 6 in. × 4 in. × 7 in.

volume = 168 in.³

Answer: d) 168 in³

Step-by-step explanation:

        The volume of a right rectangular prism can be found by multiplying the base (the length times the width) by the height. Since we are given all the values needed, we can multiply them all together and find our answer.

                 V = length * width * height

                 V = 4 in * 6 in * 7 in

                 V = 168 in³

  This gives us an answer of "d) 168 in³"

P = 40 + 12 + 28 + 16 + 12 + 28

P = 136 ft.

Attached solved problem.

Consider marking "Brainliest".

Thank you.