Find the Greatest Common Factor between 42 and 45

Step-by-step explanation:

The equation of line A:

y - 1 = 0.5x - 3

y = 0.5x - 2. Hence its gradient is 0.5.

For line B, its y intercept is -8, so y = mx - 8.

When x = -4, y = -4m - 8 = 0 as shown in the graph. This means that m = -2.

So the equation of line B:

y = -2x - 8. Its gradient is -2.

Since |-2| > |0.5|, line B is steeper than line A.

The slope of the line A(1/2) > slope of line B(2).

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take Points from the graph as (-4, 0) and (0, 8)

so, the slope is

m = (8-0)(0-(-4))

m = 8/ 4

m = 2

So, the slope- intercept form

y- 0 = 2(x- (-4))

y= 2x + 8

Hence, the slope of the line A(1/2) > slope of line B(2).

Learn more about slope here:

https://brainly.com/question/3605446

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Answer:

x= 0.4

Step-by-step explanation:

x^2 = 4/25 (0.16)

x = 0.4                        Square root both sides

Answer:

1/12

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

I got the question purposely wrong so I could see the right answer

Answer:

D

Step-by-step explanation:

The starting point is B and the ray extends towards A.

So the asnwer is D.

Answer:  t₇ = 17     t₃₀ = 63       S₁₀ = 140

Step-by-step explanation:

t₇ = 2(7) + 3

  = 14 + 3

  = 17

t₃₀ = 2(30) + 3

    = 60 + 3

    = 63

S₁₀ = (t₁ + t₁₀)/2 × 10

    = (5 + 23)/2 × 10

    = 28/2  10

    = 14 × 10

    = 140

Answer:

$252.50

Step-by-step explanation:

Furture value$252.50

Total Deposits: $200

Interest Earned: $52.50

Answer:

50,20

Step-by-step explanation:

let the two numbers be x and y respectively.

According to the question,

y=2/5 times of x

Or,

y= 2x/5 ..........(1)

Again,

or, x+y=70

or, x+2x/5=70

or, (5x+2x)/5=70

or, 7x=350

therefore x=50

putting the value of y in equation (1)

y=2x/5

y= (2×50)/5

therefore, y=20

Answer:

x = 175

Step-by-step explanation:

given:

A number is 2 /5 times another number. Their sum is 70.

find: the numbers (coefficient)

solution:

cross multiply

2 ( x ) = 70

5

2 (x) = 70 (5)

2 (x) = 350

x = 350

       2

x = 175

check:

2 ( x ) = 70

5

2 ( 175 ) = 70

5

350 = 70

 5

70 = 70

Answer:

11.2

Step-by-step explanation:

multiply 1.6 by 7 since that's how many days there are in a week

Answer:

11.2

Step-by-step explanation:

you collect 1.6 packs of chile peppers a day there is 7 days in a week 1.6x7=11.2

hope it helps.

Answer:

[tex]x = -\frac{1}{3}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

x = 3 and y = 1

Step-by-step explanation:

Solve the following system:

{3 x + y = 10

x - 4 y = -1

Express the system in matrix form:

(3 | 1

1 | -4)(x

y) = (10

-1)

Solve the system with Cramer's rule:

x = 10 | 1

-1 | -4/3 | 1

1 | -4 and y = 3 | 10

1 | -1/3 | 1

1 | -4

Evaluate the determinant 3 | 1

1 | -4 = -13:

x = 10 | 1

-1 | -4/(-13) and y = 3 | 10

1 | -1/(-13)

Simplify 10 | 1

-1 | -4/(-13):

x = -1/13 10 | 1

-1 | -4 and y = 3 | 10

1 | -1/(-13)

Simplify 3 | 10

1 | -1/(-13):

x = -(10 | 1

-1 | -4)/13 and y = -1/13 3 | 10

1 | -1

Evaluate the determinant 10 | 1

-1 | -4 = -39:

x = (-1)/13×-39 and y = -(3 | 10

1 | -1)/13

(-1)/13 (-39) = 3:

x = 3 and y = -(3 | 10

1 | -1)/13

Evaluate the determinant 3 | 10

1 | -1 = -13:

x = 3 and y = (-1)/13×-13

(-1)/13 (-13) = 1:

Answer:  x = 3 and y = 1

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

[tex]6x+11=3x-1[/tex]

To solve this equation, we must first minus(subtract) 3x from both sides of the equation.

[tex]6x+11-3x=3x-1-3x[/tex]

And this equals:

[tex]3x+11=-1[/tex]

Now we must subtract again, but 11 times now.

[tex]3x+11-11=-1-11[/tex]

And this equals:

[tex]3x-12[/tex]

Now let's make this into a fraction to divide.

[tex]\frac{3x}{3}[/tex]

We get [tex]\frac{-12}{3}[/tex]

Now we got our answer:

[tex]x=-4[/tex]

Hope this helps!

Answer:

-4

Step-by-step explanation:

First you wanna subtract the 1 from the 11 then add subtract the 3x from the 6x and you should have 3x = -12 the. You just divide -12 by 3

Answer:

x = -5

Step-by-step explanation:

Original Equation: 2x + 3 = -7

Subtract 3 from both sides:

2x + 3 - 3 = -7 - 3

Simplify:

2x = -10

Divide both sides by 2:

[tex] \frac{2x}{2} = \frac{ - 10}{2} [/tex]

Simplify:

x = -5

Answer:

They will not have met

Step-by-step explanation:

Train A will have traveled 275km in 5 hours and Train B will have traveled 425km in 5 hours. This means that they will be 700km closer to one another but still 400km apart

Answer:

5

Step-by-step explanation:

Answer:

infinite number of solutions

Step-by-step explanation:

Given

5x - 1) + 2 = 2x + 3x - 3 ← distribute and simplify

5x - 5 + 2 = 5x - 3, that is

5x - 3 = 5x - 3

Since both sides are equal then there are an infinite number of solutions to the equation.

Answer:

7

Step-by-step explanation:

Since 9 and 11 do not factor 35, they are not the answer.

5 is a factor of 35, but not the largest. So, the answer is 7.

Answer:

the largest prime factor of 35 is 5

Answer:

37.5%

Step-by-step explanation:

There are 24 students that decided to pick a cupcake at all. 9 out of 24 students chose vanilla. Therefore, 37.5% of students chose vanilla.

Answer:

2:23

Step-by-step explanation:

Answer:

10:37 pm + 3 3/4 hours = 2:22 am

Step-by-step explanation:

10:37

3: 45

2:22

+ :23 minutes from 3:45 to 10:37, which gets you to 11 pm, leaves you with 3 hours and 22 minutes

11pm + 3:22= 2:22 am

Answer:

[tex]<font color=pink>[/tex]

According to the question, we get the equation :

[tex]<font color=blue>[/tex]

3x-12=18

[tex]<font color=black>[/tex]

⛈Let's find x :

[tex]3x - 12 = 18 \\ ⟹ 3x = 18 + 12 \\ ⟹ x = \frac{30}{3} \\ ⟹x = 10[/tex]

Hope you understand

Answer:

The cost of one-month gameplay is $39.33 or 39.

Step-by-step explanation:

Let the cost of one month = x

The cost of software = $50

The total amount that can be spent = $218

Therefore, we have to find the cost of one month of game play. Here is the following equation.

218 = (50 + x) + (50 + 2x)

218 = 100 + 3x

218 – 100 = 3x

118 = 3x

x = 118 / 3

x = 39.33 or 39

thus, the cost of one-month gameplay is $39.33 or 39.

Answer:

Forget it, i'm confused

Step-by-step explanation:

(3x+2)+(5x-5)=8x-3

(17x-7)-(8x-3)=9x-10

Double Check

9x-10+5x-5+3x+2

17x-15+2

17x-13

Answer:

THE DISTANCE OF SUB IS 5892480000000IN

1MI=63630 IN

930000000MI=93000000×63360 IN=589248000000IN

X=NUMBER OF FIREFLIES

X=0.4IN=5892480000000IN

X=58924800000000IN×0.4IN

X=147312000000000

Answer:

This is wrong, I used this answer too and it was wrong.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The line is going through the origin.

Answer:

Equation: 810= (90 + 24y)

y = 30 hours

Step-by-step explanation:

Given:

Site visit = $45 per site

cost per hour worked = $24

for each work site, the total amount of money earned

= site visit fee + cost for working

But the question mentions TWO sites, hence there will be two site visits. Therefore for TWO sites, we have to account for TWO site visit fee.

Therefore for TWO sites, the total amount of money earned

= site 1 visit fee + site 2 visit fee + cost for working

= (2 x site visit fee) +  cost for working  ------ Equation 1

We are further given that we worked y hours at the hourly work rate of $24 per hour.

Hence the cost for working

= y hours x hourly rate

= y   x   $24

= $24y   (substituting this into equation 1 above)

for TWO sites, the total amount of money earned

= (2 x site visit fee) +  cost for working

= (2 x $45) +  $24y

= $90 + $24y

= $(90 + 24y)

We are also given that we have to earn $810 for two sites, hence

810 = 90 + 24y    

810 - 90 = 24y

24y = 720

y = 720/24

y = 30 hours

Answer:

Here you have to use the vertically opposite angle

your answer is 35

because vertically opposite angles are equal

x=35

Step-by-step explanation:

Answer:

x = 35

Step-by-step explanation:

X and 35 are vertical angles and vertical angles are equal