How many solutions does the equation 4x + 2(x − 5) = 3(2x − 4) have? Group of answer choices infinitely many solutions exactly one solution no solution at least two solutions

Initial velocity = 63m/s

Final velocity = 75m/s

Time taken = 4.2

We have to find acceleration of car[tex].[/tex]

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◈ Acceleration is defined as the rate of change of speed.

It is a vector quantity having both magnitude as well as direction.

SI unit : m/s²

⇒ a = (v - u) / t

⇒ a = (75 - 63) / 4.2

⇒ a = 12/4.2

The speed of a car traveling on a straight road increases from 63 m/s to 75 m/s in 4.2 seconds. What was the car's acceleration?

[tex] \rm\red {Given:} [/tex]

[tex] \rm\red {To \: find:} [/tex]

[tex] \rm\red {Calculation:} [/tex]

We know that,

[tex] {\huge {\boxed {\tt { a = \dfrac{v-u} {t}}}}} [/tex]

Substituting values-

[tex] \sf { \qquad \leadsto a = \dfrac{75-63}{4.2}} [/tex]

[tex] \sf { \qquad \leadsto a = \dfrac{12}{4.2}} [/tex]

[tex] \sf { \qquad \leadsto a = \dfrac{\cancel {12} {} ^{\: \: 6} \times 10}{\cancel {42} {} ^{\: \: 21} }} [/tex]

[tex] \sf { \qquad \leadsto a = \dfrac{\cancel6 {} ^{\: \: \: 2}\times 10 }{\cancel {21} {} ^{\: \: 7}}} [/tex]

[tex] \sf { \qquad \leadsto a = \dfrac{2 \times 10}{7}} [/tex]

[tex] \sf { \qquad \leadsto a = \dfrac{20}{7} = 2.85} [/tex]

[tex] \therefore [/tex] Acceleration of the car was [tex] \sf { 2.8m/{s} ^{2}} [/tex]

Answer:

$15

Step-by-step explanation:

3 guest = $9 (9/3 = 3 so each guest is $3)

so

5 guest = $15    (3 x 5 = 15)

5 + 2p is at least 11.

Subtract 5 from both sides.

2p is at least 11.

p > 5

Answer:

They are equal

Step-by-step explanation:

If you do 2 plus 4 in the parentheses then that equals 6 and 6t time 2 is 12t because the t doesnt have a value therefore it sticks onto the answer and if you convert the 3/4 into .75 then you can subtract the 24 by 8t and get 16 then when you multiply the 16 by 3/4 it will take .75 off of 16 and the answer is the same therefore they are equal equations.  

Example :When we divide 50 by 100 we get 0.5 (a decimal number). So, to convert from percent to decimal: divide by 100, and remove the "%" sign.

Answer:

4 ft

Step-by-step explanation:

Volume of a cube = [tex]x^{3}[/tex] (where x equals the side/edge length)

V = [tex]x^{3}[/tex]

64 = [tex]x^{3}[/tex]

64 divided by 3 = 4 ft

Answer:

[tex]3^{11}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] thus

[tex]3^{6}[/tex] × [tex]3^{5}[/tex] = [tex]3^{(6+5)}[/tex] = [tex]3^{11}[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ {3}^{11} }}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ {3}^{6} \times {3}^{5} }[/tex]

Add the indices and take the same base

[tex] \dashrightarrow{ \sf{ {3}^{6 + 5} }}[/tex]

[tex] \dashrightarrow{ \boxed{ \sf{ {3}^{11} }}}[/tex]

Hope I helped!

Best regards! :D

Answer:

1. -5

2. 1/3 (1 third)

3. -3

4. -1\2 (negative one and a half)

5.-4

6. 1.66666

Step-by-step explanation:

1.  Let's solve your equation step-by-step. ( x + 5 ) ( x − 2 ) = 0 Step 1: Simplify both sides of the equation. x 2 + 3 x − 10 = 0 Step 2: Factor left side of equation. ( x − 2 ) ( x + 5 ) = 0 Step 3: Set factors equal to 0. x − 2 = 0 or x + 5 = 0 x = 2 or x = − 5.        <—— this is for the first explanation

2. Step 1: Simplify both sides of the equation. 6 x 2 + 13 x − 5 = 0 Step 2: Factor left side of equation. ( 3 x − 1 ) ( 2 x + 5 ) = 0 Step 3: Set factors equal to 0. 3 x − 1 = 0 or 2 x + 5 = 0 x = 1 3 or x = − 5 2 Answer: x = 1 3 or x = − 5 2

<———— this is for the second explanation

3.Step 1: Factor left side of equation. ( x + 1 ) ( x − 4 ) = 0 Step 2: Set factors equal to 0. x + 1 = 0 or x − 4 = 0 x = − 1 or x      

<———- this is for the third explanation

4.Step 1: Factor left side of equation. ( 2 x + 1 ) ( x − 3 ) = 0 Step 2: Set factors equal to 0. 2 x + 1 = 0 or x − 3 = 0 x = − 1 2 or x = 3

<—————- this is for the fourth explanation

5. Step 1: Add 16 to both sides. x 2 − 16 + 16 = 0 + 16 x 2 = 16 Step 2: Take square root. x = ± 16 x = 4 or x = − 4

<—————- this is for the fith explanation

6. Step 1: Add 25 to both sides. 9 x 2 − 25 + 25 = 0 + 25 9 x 2 = 25 Step 2: Divide both sides by 9. 9 x 2 9 = 25 9 x 2 = 25 9 Step 3: Take square root. x = ± 25 9 x = 1.666667 , − 1.666667

<—————- this is for the sixth explanation

Hope this helps :)

$9.70 / 2.5lbs = $3.88 / pound of roasted peanuts.

$8.55 * 1.4lbs = $11.97 / 1.4 pounds of almonds

$8.55 - $3.88 = $4.67.

Roasted peanuts cost $4.67 less per pound than almonds.

$11.97 - $9.70 = $2.27

You spend $2.27 more on almonds than you do roasted peanuts.

Answer: 3x²-3y²+8xy

Step-by-step explanation:

When you multiply two factors, you want to use the FOIL method.

First

Outer

Inner

Last

(x+3y)(3x-y)                  [distribute by FOIL]

3x²-xy+9xy-3y²            [combine like terms]

3x²+8xy-3y²                 [rewrite]

3x²-3y²+8xy

Now, we know the product is 3x²-3y²+8xy.

Answer:

The answer is false it’s supposed to be 84

Step-by-step explanation:

Answer:

-5x-50=8x+25 solve that

13x= -75

-5.769

Step-by-step explanation:

Answer:

Step-by-step explanation:

3(a^2 + a - 6)

3(a + 3)(a - 2)

answer is D

Answer:

$297.70

Step-by-step explanation:

First, find her hourly wage:

183.20/8

= 22.9

Then, multiply this by 13:

22.9(13)

= 297.7

So, she will make $297.70 next week

Answer:

297.70

Step-by-step explanation:

Read the pdf named "Brain"

Given:

Coordinates of point C are (-3,6).

Point B(0,5.5) is the midpoint of AC.

To find:

The coordinates of A.

Solution:

Let the coordinates of point A are (a,b).

Formula for midpoint:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Using the above formula, the midpoint of A(a,b) and C(-3,6) is

[tex]B=\left(\dfrac{a+(-3)}{2},\dfrac{b+6}{2}\right)[/tex]

[tex](0,5.5)=\left(\dfrac{a-3}{2},\dfrac{b+6}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{a-3}{2}=0[/tex]

[tex]a-3=0[/tex]

[tex]a=3[/tex]

and,

[tex]\dfrac{b+6}{2}=5.5[/tex]

[tex]b+6=11[/tex]

[tex]b=11-6[/tex]

[tex]b=5[/tex]

Therefore, the coordinates of point A are (3,5).

Answer:

i have the same question on my worksheet

Step-by-step explanation: its super hard need help too

Answer:

x = y/2 - 1

Step-by-step explanation:

Solve for x:

2 x + 3 = y + 1

Hint: | Isolate terms with x to the left hand side.

Subtract 3 from both sides:

2 x = y - 2

Hint: | Solve for x.

Divide both sides by 2:

Answer: x = y/2 - 1

Answer:

0

Step-by-step explanation:

To find the coordinate of the midpoint of segment QB, first, find the distance from Q to B.

QB = |4 - 8| = |-4| = 4

The coordinate of the midpoint of QB would be at ½ the distance of QB (½*4 = 2).

Therefore, coordinate of the midpoint of QB = the coordinate of Q + 2 = 4 + 2 = 6

OR

Coordinate of B - 2 = 8 - 2 = 6

Coordinate of the midpoint of QB = 6

Coordinate of W = -8

Coordinate of A = 0

distance from W to A (WA) = |-8 - 0| = |-8| = 8

The coordinate of the midpoint of WA would be at ½ the distance of WA = ½*8 = 4.

Therefore, coordinate of the midpoint of WA = the coordinate of W + 4 = -8 + 4 = -4

Or

Coordinate of A - 4 = 0 - 4 = -4

Coordinate of the midpoint of WA = -4

Now, let's find the midpoint between the two new coordinates we have found, which are -4 and 4

Distance of the segment formed by coordinate -4 and 4 = |-4 - 4| = |-8| = 8

Midpoint = ½*8 = 4

Coordinate of the midpoint = -4 + 4 = 0

Or

4 - 4 = 0

A13x2+390x here is the answer

Answer:

x=15

Step-by-step explanation:

Simplifying

x + 30 = 3x

Reorder the terms:

30 + x = 3x

Solving

30 + x = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

30 + x + -3x = 3x + -3x

Combine like terms: x + -3x = -2x

30 + -2x = 3x + -3x

Combine like terms: 3x + -3x = 0

30 + -2x = 0

Add '-30' to each side of the equation.

30 + -30 + -2x = 0 + -30

Combine like terms: 30 + -30 = 0

0 + -2x = 0 + -30

-2x = 0 + -30

Combine like terms: 0 + -30 = -30

-2x = -30

Divide each side by '-2'.

x = 15

Simplifying

x = 15

Answer:

total money=rupees 50

3/5 of 50= rupees 30

money he spent = rupees 30

money he's left with =50-30=20

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Answer:

Step-by-step explanation:

like u told me social studis

<3

Answer:

8 lines

Step-by-step explanation:

5 yards = 4.572 meters

40 m /4.572 = 8.7489063867

8 lines

Answer:

F>110

Step-by-step explanation:

Answer:

do this then this then that and your done :D

Step-by-step explanation:

hope this helps :))

Answer:

1/36

Step-by-step explanation:

Assuming that there are 2 dice

There are 36 possible outcomes ( 6*6)

There is only one way to get 2 ones

P ( 1,1) =  positive outcomes / total

          =1/36

Answer:

x>2

Step-by-step explanation:

-3x-15< -21

-3x< -21+15

-3x< -6

x>2

Answer:

answer is x > 2

Step-by-step explanation:

Interval Notation:

( 2 , ∞ )

Answer:

4 hours

Step-by-step explanation:

Distance / Velocity = Time

In this case, 8 / 2 = 4