Which of the equations below represents the second step of the solution process?
Step 1: 15x + 21 = 39 -15x
Step 2:
Step 3: 30x = 18
Step 4: x=1.6
A 5(6x + 1) + 4 = 39 C 30x + 4 + 1 = 39
B 5(6x + 5) = 39 D 30x + 21 = 39

Answer:

Step-by-step explanation:

First you need to calculate the entire length (in meters) of the metal used in the gate, then multiple the length by 2.5 kg per meter

Break it into parts.......

four pieces on along the outside is just the perimeter of a rectangle

         P = 2( L + H)        both sides and the top and bottom

the two crossing metal pieces are just the hypotenuse of a right triangle and since we have two pieces of metal

        a² + b² = c²     or   L² + H² = Hyp²          solving for the htpotenuse

                         Hyp = [tex]\sqrt[]{L^2 + H^2}[/tex]              

so the total length of the gate metal is

P = 2( L + H)    plus        2 Hyp = [tex]\sqrt[]{L^2 + H^2}[/tex]  

   = 2( 12 + 5)      +     2 [ √(12² + 5²) ]

   =       34          +   2 [ √( 144 + 25) ]

   =       34  +  2 ( √169)

   =       34 +  2( 13)

   =       34 + 26

   =     60 meters   of gate metal            metal weighs  2.5 kg per meter

  Total weight equals 60 meters   times    2.5 kg per meter

    Total weight = 60 (2.5)    =     150 kg

Answer:

a,d,e,f

Step-by-step explanation:

Answer:

566 ft

Step-by-step explanation:

Given the polynomial equation

-16t² + 300t + 30 = 0

We're asked to find how high the rocket would rise in a 2 second fuse rise. This is a simple instruction that can be obtained by setting the unknown, t, in the equation to 2. Doing this, we have

-16 * 2² + 300 * 2 + 30

-16 * 4 + 600 + 30

-64 + 630 = 566 ft

Then, we can therefore conclude that the rocket will rise high up to a distance of 566 ft

Answer:

the second chaise is the answer

Answer:

I need points, sorry, i cant help

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

v = 165

Step-by-step explanation:

v/22 -0.1 = 7.4

v/22 = 7.4+0.1 =7.5

v = 7.5*22

v = 165

Answer:

[tex]v = 165[/tex]

1) Add 0.1 to both sides.

[tex] \frac{v}{22} = 7.4 + 0.1[/tex]

2) Simplify 7.4 + 0.1 to 7.5.

[tex] \frac{v}{22} = 7.5[/tex]

3) Multiply both sides by 22.

[tex]v = 7.5 \times 22[/tex]

4) Simplify 7.4 × 22 to 165.

[tex]v = 165[/tex]

Therefor, the answer is v = 165.

Answer:

3 on edge

Step-by-step explanation:

Just did the assignment

Answer:

The statement is true is for any [tex]n\in \mathbb{N}[/tex].

Step-by-step explanation:

First, we check the identity for [tex]n = 1[/tex]:

[tex](2\cdot 1 - 1)^{2} = \frac{2\cdot (2\cdot 1 - 1)\cdot (2\cdot 1 + 1)}{3}[/tex]

[tex]1 = \frac{1\cdot 1\cdot 3}{3}[/tex]

[tex]1 = 1[/tex]

The statement is true for [tex]n = 1[/tex].

Then, we have to check that identity is true for [tex]n = k+1[/tex], under the assumption that [tex]n = k[/tex] is true:

[tex](1^{2}+2^{2}+3^{2}+...+k^{2}) + [2\cdot (k+1)-1]^{2} = \frac{(k+1)\cdot [2\cdot (k+1)-1]\cdot [2\cdot (k+1)+1]}{3}[/tex]

[tex]\frac{k\cdot (2\cdot k -1)\cdot (2\cdot k +1)}{3} +[2\cdot (k+1)-1]^{2} = \frac{(k+1)\cdot [2\cdot (k+1)-1]\cdot [2\cdot (k+1)+1]}{3}[/tex]

[tex]\frac{k\cdot (2\cdot k -1)\cdot (2\cdot k +1)+3\cdot [2\cdot (k+1)-1]^{2}}{3} = \frac{(k+1)\cdot [2\cdot (k+1)-1]\cdot [2\cdot (k+1)+1]}{3}[/tex]

[tex]k\cdot (2\cdot k -1)\cdot (2\cdot k +1)+3\cdot (2\cdot k +1)^{2} = (k+1)\cdot (2\cdot k +1)\cdot (2\cdot k +3)[/tex]

[tex](2\cdot k +1)\cdot [k\cdot (2\cdot k -1)+3\cdot (2\cdot k +1)] = (k+1) \cdot (2\cdot k +1)\cdot (2\cdot k +3)[/tex]

[tex]k\cdot (2\cdot k - 1)+3\cdot (2\cdot k +1) = (k + 1)\cdot (2\cdot k +3)[/tex]

[tex]2\cdot k^{2}+5\cdot k +3 = (k+1)\cdot (2\cdot k + 3)[/tex]

[tex](k+1)\cdot (2\cdot k + 3) = (k+1)\cdot (2\cdot k + 3)[/tex]

Therefore, the statement is true for any [tex]n\in \mathbb{N}[/tex].

Answer:

8x^6

Step-by-step explanation:

2x4+x=8x

^3+^3=^6

Answer:

x=12

Step-by-step explanation:

Before starting this question, you need to know that the total degree of any given triangle is 180 degrees.

Now looking at the question, we know one side is 90 degree since it is a right triangle.

180-90=90

This let us know that the remaining two angles will have to add up to equal to 90 degrees.

2x+1+5x+5=90

First, combine like terms.

7x+6=90

Now we have to get x by itself, subtract 6 on both sides then divide by 7.

7x=84

x=12

Answer:

Step-by-step explanation:

If we assume that the angle at A is 90 degrees.. which it does seem like it would be.  then use that the sum of the angles around the inside of a right triagle is 180 .   so  you have

180 = 37 + 90 + x

53° = x  

does that help?

Answer:

a = 250t

Step-by-step explanation:

Answer:

Note: The mention of parantheses makes me believe they are asking for one-line expressions with no fractions. If this is incorrect, replace the slashes with fraction lines with the addition and subtraction outside of said fractions.

The equivalent expression, which includes a set of parentheses that make the value of the expression 5 and 13 are,

[tex]10-\dfrac{32}{8}+(2-3)=5[/tex]

[tex]\dfrac{1}{2}\times[(12\div 2)-2]+11=13[/tex]

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

Create an equivalent expression that includes a set of parentheses that make the value of the expression 5.

32 divided by 10 - 8 divided by 2 - 3. Make the expression with assuming the result as n.

[tex]n=10-\dfrac{32}{8}+(2-3)\\n=10-4-1\\n=5[/tex]

Create an equivalent expression that includes a set of parentheses that make the value of the expression 13.

1/2 x 12 divided by 2 - 2 + 11

Make the expression with assuming the result as n.

[tex]n=\dfrac{1}{2}\times[(12\div 2)-2]+11\\n=\dfrac{1}{2}\times[6-2]+11\\\\n=\dfrac{1}{2}\times4+11\\n=2+11\\n=13\\[/tex]

Thus, the equivalent expression which includes a set of parentheses that make the value of the expression 5 and 13 are,

[tex]10-\dfrac{32}{8}+(2-3)=5[/tex]

[tex]\dfrac{1}{2}\times[(12\div 2)-2]+11=13[/tex]

Learn more about the equivalent expression here;

https://brainly.com/question/2972832

________________________________

Here, Distance covered by Lucas on Saturday

= 4x – 5 miles

Now, Distance covered by Lucas on Sunday

= 3x – 10 miles

________________________________

Hence, Difference between the distances

would be / –

Distance covered on Saturday – Distance covered on Sunday

= (4x – 5) – (3x – 10)

= 4x – 5 – 3x + 10

[ Because (– * + = – ) And ( – * – = +) ]

= 4x – 3x + 10 – 5

= 1x – 5

= x – 5 ( – Ans )

Hence, The difference between Distance covered ( In miles ) is ( x – 5 ) .

________________________________

Answer:

The slope(M) is -6

Step-by-step explanation:

:)

Answer:

x=2

Step-by-step explanation:

first we will distribute out everything

-2x +5 +4x+ 9 = 3(6 +4x)- 12x

(multiply 3 to both 6 and 4x)  

-2x +5 +4x+ 9= 18 +12x -12x

then combine like variables on both sides

(add -2x and 4x and add 5 and 9, for the other side add 12x and -12x)

2x+14= 18  

then isolate x

2x=4

x=2

and substitute x for 2 to double check

-2(2)+5+4(2)+9=3(6+4(2))-12(2)

18=18

therefore 2 is correct

Answer:

The center of the circle is point: C=(1,5).

The radius of the circle is r=3.

Step-by-step explanation:

x² + y² -2x - 10y + 17 = 0

Find the center and radius of this circle

We have the equation

x² + y² -2x - 10y + 17 = 0

We collect like terms

x² - 2x + y² - 10y = -17

x² - 2x + (-2/2)² + y² - 10y + (-10/2)² = -17 + (-2/2)² + (-10/2)²

The center of the circle is point: C=(1,5).

The radius of the circle is r=3.

Answer:

substitute 2 for x

answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

185.94

Answer:

1 and 2 is and 3 is not

Step-by-step explanation:

Answer:

A. True

B. False

Step-by-step explanation:

1: 30 + 10 = 40 and 8 x 5 = 40 (both match)

2: 75 - 25 = 50 and 5 x 9 = 49 (Doesn't match)

Answer:

C

Step-by-step explanation:

7/9 x 6 = 4u 6/9

simpify it and you get 4u2/3

hope thus helps :)

Answer:

$2.5

Step-by-step explanation:

You divide 80 by 32 = 2.5

Hope this helps

Mark brainliest please

Answer:

2.50

Step-by-step explanation:

80/32

=2.50

divide 80 by 32 to get the cost per paintbrush

Answer:

AC=QP

AB=PR

<BAC=[<QPR

THESE SIDES AND ANGLES ARE CONGRUENT

Step-by-step explanation:

CAB=~QPR

Answer:

Step-by-step explanation: hope that helps

Answer:

150 boys

Step-by-step explanation:

equation:

⇒ 5x + 4x = 270

add like terms:

⇒ 9x = 270

divide 9 on both sides:

⇒ [tex]\frac{9x}{9} = \frac{270}{9}[/tex]

solve:

⇒ x = 30

take original equation and subtitute 30 for x;

⇒5 x 30 + 4 x 30 = 270

⇒ 150 + 120 = 270

We can see that if there were 270 students, 150 would be boys and 120 would be girls.

Answer:

yayayayayayauauaudadaddadadadaddadaad.lolllollololololo