Solve using substitution please help!!

Answer:

[tex]3m/s^2[/tex]

Step-by-step explanation:

the information that we have is:

mass: [tex]m=20kg[/tex]

force applied: [tex]F=60N[/tex]

since we need to find the acceleration, we can use Newton's second law of motion:

[tex]F=ma[/tex]

Where [tex]F[/tex] is the force applied to a mass [tex]m[/tex] which creates an acceleration [tex]a[/tex].

we solve this equation for the acceleration:

[tex]a=\frac{F}{m}[/tex]

and we substitute the known values:

[tex]a=\frac{60N}{20kg} \\\\a=3m/s^2[/tex]

the acceleration of the load is: [tex]3m/s^2[/tex]

Answer:

[tex] \red{\bold {7x - 9y - 39 = 0}} [/tex]

Step-by-step explanation:

Line passes through the points

[tex] (3, \: - 2) =(x_1, \: y_1) \:\&\: (-6,\: - 9)= (x_2, \: y_2)[/tex]

Equation of line in two point form is given as:

[tex] \frac{y-y_1}{y_1-y_2} = \frac{x-x_1}{x_1-x_2} \\\\

\frac{y-(-2)}{-2-(-9)} = \frac{x-3}{3-(-6)} \\\\

\frac{y+2}{-2+9} = \frac{x-3}{3+6} \\\\

\frac{y+2}{7} = \frac{x-3}{9} \\\\

9(y+2) = 7 (x - 3)\\\\

9y + 18 = 7x - 21\\\\

7x - 9y - 21 - 18 = 0\\\\

\huge \purple {\boxed {7x - 9y - 39 = 0}} [/tex]

Answer:

<1 and <3

Step-by-step explanation:

They are both symmetric

Answer:

V = π*r^2*h/3

the formula not sure which answer represent that

117.29 ft^3

Step-by-step explanation:

Answer:

1000000

Step-by-step explanation:

Answer: 1000000

Step

no

step

Answer:

a lot

Step-by-step explanation:

Answer:

p≤-5/4

Step-by-step explanation:

Move variable to the left hand side and change its sign, move the constant tp the right hand side and change its sign

6p+2p+5≤-5

Collect like terms

8p≤-5-5

8p≤-10

Divide both sides of the inequality by 8

p≤-5/4

Answer: A . 0

Step-by-step explanation:

The two smaller sides does not equal to the longer length or greater than the longer length so no triangles can be form.

Answer:

idk

Step-by-step explanation:

Answer (#2):

125 (degrees)

Step-by-step explanation:

<ATH= 180 - x

the sum of the degrees in a triangle is 180, so <ATH=180-43-82=55 (degrees)

x=180-55=43+82=125 (degrees)

Answer (#3):

x=11, <C=12 (degrees)

Step-by-step explanation:

(3x+28)+(5x+52)+(2x-10)=10x+70=180

x=110/10=11

The only option that is not equal to 1 is sinθcosθ

Acoording to trigonometric identity

cot theta = 1/tan theta

sec θ = 1/cosθ

cosec θ = 1/sinθ

For the first option:

sin θcscθ = sinθ * 1/sinθ

sinθcscθ = 1

For the second option

cosθseccθ = cosθ * 1/cosθ

cosθsecθ = 1

For the

tanθcotθ = tanθ * 1/tanθ

tanθcotθ = 1

This shows that the only option that is not equal to 1 is sinθcosθ

Learn moree trigonometry here: https://brainly.com/question/20519838

Answer:

Final price f = 0.85x

Step-by-step explanation:

Let f represent the final price and

x is the original price of the lawn mower

Given;

The hardware store is having a 15% off sale on lawn mowers this weekend;

the final sales price,excluding tax will be equal to the original price minus 15% of the original price.

Final price f = 100% of x - 15% of x

Final price f = x - 0.15x

Final price f = 0.85x

Answer:

WHAT IS THE ANSWER?

Step-by-step explanation:

help mehhh

The area A of a trapezoid is the height h times the average of the parallel bases a and b.  

A = (1/2)(a + b)h

Solving for a,

2A = (a+b)h

2A/h = a+b

a = 2A/h - b

We have A=59.64, b=4, h=8.4

a = 2(59.64)/8.4 - 4

a = 10.2 yards

Answer: 10.2

Answer:

$858.02

Step-by-step explanation:

Take $788.99 times 8.75% = 69.03 this is the amount of tax

Add 788.99 and 69.03 = 858.02

Answer:

the answer would be $858.03

Answer:

up

Step-by-step explanation:

a is positive

Answer:

Step-by-step explanation:

Let amount now be x , meaning principal is x

and the amount later A is 2x

A = P(1+r/n)^nt

n = 12

2x = x (1 + 0.06/12)^12t

divide through by x

2 = (1+ 0.005)^12t

2 = (1.005)^12t

Take log of both sides

log 2 = 12t log 1.005

12t = log2/log 1.005

12t = 138.975721610697

t = 138.975721610697/12

t = 11.58

t = 12 years

Answer:

Alex's points are 12 and Micah's are 28.

Step-by-step explanation:

We can solve it in the following way, with "A" being Alex's points and "M" being Micah's points, we have to:

A + M = 40

M = 4 + 2 * A

Replacing 2 in 1:

A + 4 + 2 * A = 40

3 * A = 40 - 4

A = 36/3

A = 12

For M:

M = 4 + 2 * 12

M = 28

Therefore Alex's points are 12 and Micah's are 28.

Answer:

1a) Yes

1b) No

1c) Yes

1d) No

1e) Yes

1f) Yes

Step-by-step explanation:

1a) 3+4>5

     7>5 Yes

     4+5>3

      9>3  Yes

      5+3>4

      8>4 Yes

    Yes

1b) 1+4 =5

No

No

1c) 1+5>5 Yes

      5+5>1 Yes

      1+5>5 Yes

Yes

1d) 4+3<8 No

No

1e) 8+8>4 Yes

    8+4>8 Yes

    8+4>8 Yes

Yes

1f) 4+4>4 Yes

  4+4>4 Yes

 4+4>4 Yes

Yes

Answer:

he is less likely to pick a blue tile in the second bag

Step-by-step explanation:

divide 10 by 25 which will give you 40%

divide 75 by 250 which will give you 30%

this makes it less likely for Greg to pick blue from the second bag, as the first bag has a higher percentage chance

Answer:

3+13i

Step-by-step explanation:

(10+10i)+(-7+3i)

Combine the real parts

10+-7 = 3

And the imaginary parts

10i +3i = 13i

Combine them to make the complex number

3+13i

Answer:

5/29

Step-by-step explanation:

This is a compound event.

Compound events are found by multiplying the probabilities of both events.

So we need to multiply the probability of chooseing a red marble and rolling an even number.

10 red

8 green

5 blue

6 white

Total marbles = 29

P(red marble) = 10/29

A die/number cube has 6 sides. Each has a probability of 1/6.

1

2

3

4

5

6

There are 3 even numbers here. The probability of an even number is:

P(even) = 3/6 = 1/2

Now we need to find the probability of both events occurring. So multiply both probabilities and you will get the answer:

10/29 x 1/2 = 5/29

The probability of choosing a red marble and rolling an even number is 5/29.

Please mark me brainliest if this helped :)

I only need 3 more to become an expert!

Answer:

Step-by-step explanation:

x-.20x

Lets say the hat cost $100

x=100

multiplying 100 by 20% which is .20 yields $20

S0 $20 is the discount which we subtract from the original price

100-20 and get the sale price of $80

They use a shortcut so you don't have to do the subtracting of the discount

They say if the price is being discounted subtract the discount from 1 and multiply that by the original amount

So in this case the discount percent was 20% = .20

Subtracted from 1

1-.20=.80

Since x is the original price we multiply x by the .80 to get  

.80x

Answer:

5 hours

Step-by-step explanation:

The proportion is 120/200 = 3/x

We cross multiply to get an equation of

3*200 = 120*x

120x = 600

Then divide 120 by both sides to get..

x= 5 hours

- Hope this helped! :)

Answer:

5 hours

Step-by-step explanation:

I did it before

Answer:

option 2

452.16

You would need to use this equation...

V=πr²h

3.14 * (4)² * 9

= 452.16 cm³

find interest and subtract it from 30,000

Answer:

B and D

Step-by-step explanation:

negative and negative make positive so look for the positive answers

Answer:

-3x + 17 < -29

Step-by-step explanation:

Answer:

12 boxes of bookmarks and 8 packs of dust covers.

Step-by-step explanation:

Shelley wants to have at least 250 bookmarks and dust covers for her 250 books.

One box of bookmarks contain 24 bookmarks.

One pack of dust cover contain 36 dust covers.

Shelley buys same number of bookmarks and dust covers.

So, we need to find out LCM(Least Common Multiple) of 24 and 36 to come to a common number that can be bought.

LCM of 24 and 36 is 72.

But, at least 250 bookmarks or dust covers have to be bought. So, we need to find a multiple of 72 which is greater than or equal to 250.

Let us consider the Table of 72:

72, 144, 216, 288, 360 .....

For having enough count of bookmarks and dust covers, at least 288 bookmarks and dust covers have to be bought.

Number of boxes of bookmarks bought = [tex]\frac{288}{24} \Rightarrow 12[/tex]

Number of packs of dust covers bought = [tex]\frac{288}{36} \Rightarrow 8[/tex]

12 boxes of bookmarks and 8 packs of dust covers.

Answer:

1. -18-6k=6(1+3k)      k=   -1

2. 5n+34=-2(1-7n)   n=4

3. 2(4x-3)-8=4+2x    x=3

4. 3n-5=-8(6+5n)      n= -1

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