What is the solution to the system of equations?
6x+ 2y = 6
7x+3y=5
o (-3,2)
o (-1.6)
o (2.-3)
o (6.-1)

Answer:

3.75 hours

Step-by-step explanation:

Bob completes his homework in 2.5 hours.

In 1 hour, he completes 1/2.5 of his homework.

Joe completes his homework in x hours.

In 1 hour, he completes 1/x of his homework.

Together, they complete the homework in 1.5 hours.

In 1 hour, they do 1/1.5 of the homework.

1/2.5 + 1/x = 1/1.5

Convert the decimal numbers in the numerators into fractions.

1/(5/2) + 1/x = 1/(3/2)

2/5 + 1/x = 2/3

Multiply both sides by the LCD, 15x.

6x + 15 = 10x

-4x = -15

x = 3.75

Answer: 3.75 hours

Answer:

n-5

Step-by-step explanation:

Answer:

928

Step-by-step explanation:

Ratio of boys to girls is 9:7, so boys are 9/(9+7) = 9/16 of the total, and the girls are 7/16

the difference is 9/16-7/16 = 2/16 = 1/8, so

x * 1/8 = 116

x = 116*8 = 928

Answer:

List all the factors for 18,15 to find the common factors. The common factors for 18,15 are 1,3 . The GCF for the numerical part is 3 . The factor for k1 is k itself.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since

18

k

,

15

k

3

contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for

18

k

,

15

k

3

:

1. Find the GCF for the numerical part

18

,

15

2. Find the GCF for the variable part

k

1

,

k

3

3. Multiply the values together

Find the common factors for the numerical part:

18

,

15

The factors for

18

are

1

,

2

,

3

,

6

,

9

,

18

.

Tap for more steps...

1

,

2

,

3

,

6

,

9

,

18

The factors for

15

are

1

,

3

,

5

,

15

.

Tap for more steps...

1

,

3

,

5

,

15

List all the factors for

18

,

15

to find the common factors.

18

:

1

,

2

,

3

,

6

,

9

,

18

15

:

1

,

3

,

5

,

15

The common factors for

18

,

15

are

1

,

3

.

1

,

3

The GCF for the numerical part is

3

.

GCF

Numerical

=

3

Next, find the common factors for the variable part:

k

,

k

3

The factor for

k

1

is

k

itself.

k

The factors for

k

3

are

k

⋅

k

⋅

k

.

k

⋅

k

⋅

k

List all the factors for

k

1

,

k

3

to find the common factors.

k

1

=

k

k

3

=

k

⋅

k

⋅

k

The common factor for the variables

k

1

,

k

3

is

k

.

k

The GCF for the variable part is

k

.

GCF

Variable

=

k

Multiply the GCF of the numerical part

3

and the GCF of the variable part

k

.

3

k

Answer:

48$ Hope this helps! (●'◡'●)

Step-by-step explanation:

Answer:

28 cm2

2 x 7 x 2 = 28

hope this helps

Answer:

Area = 40 cm²

Step-by-step explanation:

Area of triangle is derived by the formula,

Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

Length of Base = 8 cm

Height of the triangle = 10 cm

Therefore, area of the given triangle = [tex]\frac{1}{2}(8)(10)[/tex]

                                                             = 40 cm²

Answer:

y= -x - 8

Step-by-step explanation:

To write an equation in slope-intercept form, we naturally need both the slope and the y-intercept. Here, our y-intercept is -8, and our slope is -1. The general form of a line in slope intercept form is y = mx + b, where m is the slope and b is the y intercept. Using our values of m = -1 and b = -8 then gives us the equation y = -x - 8.

Answer:

Step-by-step explanation:

your camera is to blurry dude xD

Answer:

Step-by-step explanation:

for 1 they give us an angle and the side next to that angle.. or the Adjacent side and they want to know the Opposite side from the angle sooo let's use ..

SOH CAH TOA    

hmm TOA seems good , it's got the adj and Opp in it ,

Tan(Ф) = Opp / Adj

Tan(67) = Opp / 26

26 * Tan(67) = Opp

61.2521 = Opp

61.3  ( rounded to nearest 10th )    does this seem big to you?  well it should be quite a bit bigger than the 25 on the base, seems about right to me

for 2 they give us one angle, 48 , and one side, 35 , that is opposite from that angle,  and ask what is the Hyp.  So find a trig function that has those pieces in it.     SOH seems good

sin(Ф) = Opp / Hyp

sin(48) = 35 / Hyp

Hyp = 35 / sin(48)

Hyp = 47.0971  ( and that seems about right for the Hypotenuse )

x = 47.1  ( rounded to the nearest 10th )

for 3  they are asking us to imagine a triangle, I'll draw it and attach it as a picture.    Looking at the picture helps a lot, we can see we have the angle and the adj side and want to find the Opposite side of that big triangle. sooo   use TOA  , it's got those pieces in it

Tan(17) = Opp / 200

200*Tan(17) = Opp

61.1461  =Opp

so the height of the radio mast is  61.1 meters  ( rounded to nearest 10th )

Does this seem a bit easier when you think about how the parts of the trig functions fit on the triangles?    :)   ask if you have any questions

Answer:

I might be wrong

Step-by-step explanation:

x= 9? sorry if that's wrong

Answer:

x =9

Step-by-step explanation:

take off the x

add 5+3=8

divide 72 by 8

answer is 9 so x=9

you can double check by multiplying 5×9 then 3×9 then adding your answers together to give you 72

Answer:

Test A: 40 words per minute

Test B: 54 words per minute

Test C: 44 words per minute

Test B has the highest unit rate

Step-by-step explanation:

Test A divide 30 by [tex]\frac{3}{4}[/tex] (30/0.75=40)

Test B divide 78 by [tex]1\frac{1}{2}[/tex] (78/1.5=52)

Test C divide 99 by [tex]2\frac{1}{4}[/tex] (99/2.25=44)

Hope this helps :-)

[tex]-noorati[/tex]

Answer:

1- 3/5 or .6

2- 1

Step-by-step explanation:

Answer: The equation that models this situation is:

x = 15 × 8  or x ÷ 8 = 15

Step-by-step explanation:

Let 'x' be the total number of guests who are seated at the tables.

If have to determine how many guests (x) are seated at the tables, all we need is to multiply the 15 with 8.

so the equation becomes

x = 15 × 8  or x ÷ 8 = 15

Therefore, the equation that models this situation is:

x = 15 × 8  or x ÷ 8 = 15

hope this helps good luck

Answer & Step-by-step explanation:

number of Dave's coins = number of Zack's coins + 5

The question is asking to find the difference in prices paid (thus "more"), completely unrelated to the number of coins Zack bought as these two numbers are independent of one another. The difference in price can be found by simply multiplying the cost of one coin by 5.

Answer:

The answer is $3.09

Step-by-step explanation:

Hope this helps

Answer:

2x-3x=24____eqn 1

3x+4y=2____eqn 2

solve eqn 1 and 2 simultaneously using elimination method

eliminate x use the coefficients of x in the two equations to multiply each other i.e

3(2x-3y=24)

2(3x+4y=2)

6x-9y=72

6x+8y=4

eliminate x using the subtraction sign(-)

6x-6x-9y-(+8y)=72-4

-9y-8y=68

-17y=68

divide both side by the coefficient of y

y=68/-17

y=-4

put y=-4 in eqn 2

3x+4y=2

3x+4(-4)=2

3x-16=2

collect like term

3x=2+16

3x=18

divide both side by the coefficient of x

x=18/3

x=6

since we're asked to find x-y

6-(-4)

6+4=10

Answer:

a) 3y=18-5

3y=13

3y/3=13/3

y=13/3

Step-by-step explanation:

b)x/4 =10-13

x/4 = -3

4× x/4 = -3 ×4

x = -12

c) -6r -3r = -6-2

-9r = -8

-9r/-9 = -8/-9

r = 8/9

d)5x-x -3 =5

5x-x = 5+3

4x = 8

4x/4 = 8/4

x=2

Answer:y=2x−3+5

Step-by-step explanation:

Answer:

8h=p

Step-by-step explanation:

P is pay

H is hour

u make 8 dollars for an hour, so for h hours it would be 8h

Answer:

greater than lol

Step-by-step explanation:

Answer:

5/7 is grater than 2/8

Step-by-step explanation:

5/7 = 0.714

2/8 = 0.25

therefore 5/7 is grater than 2/8

Answer:

it would take her 42 mins

Step-by-step explanation:

Answer:

water nugget

Step-by-step explanation:

according to my neurological evaluation of the current situation(s), it appears we are friends, therefore, I feel obliged to request that bring un-forth a specific set of 'roles' to my person. By which I mean, it appears having created any sort of emotional connection with you seems to reward such 'roles' as such I request that you immediately bring fourth said 'roles'Either way though there was a Neurological Enzymetive Paralastic imbalance between the code of conductional adminstrative classificationsNot funny I didn't laugh. Your joke is so bad I would have preferred the joke went over my head and you gave up re-telling me the joke. To be honest this is a horrid attempt at trying to get a laugh out of me. Not a chuckle, not a hehe, not even a subtle burst of air out of my esophagus. Science says before you laugh your brain preps your face muscles but I didn't even feel the slightest twitch. 0/10 this joke is so bad I cannot believe anyone legally allowed you to be creative at all. The amount of brain power you must have put into that joke has the potential to power every house on Earth. Get a personality and learn how to make jokes, read a book. I'm not saying this to be funny I genuinely mean it on how this is just bottom barrel embarrassment at comedy. You've single handedly killed humor and every comedic act on the planet. I'm so disappointed that society has failed as a whole in being able to teach you how to be funny. Honestly if I put in all my power and time to try and make

Answer:

Step-by-step explanation:

i can't see the number srry:(

Answer:

translation

Step-by-step explanation:

I'm pretty sure