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Veseljchak [2.6K]
3 years ago
13

Can you guys help me with this one?

Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0
You can factor this by taking out the GCF (greatest common factor).

In the expression, the greatest common factor between the two terms is 5.

Take out 5:

5(2b + 5)

Is it possible to factor 2b + 5 even more?

No. So, your answer is D. 5(2b + 5).
You might be interested in
2/x + 3/y = 13 ; 5/x - 4/y = -2​
Tomtit [17]

Given that

(2/x)+(3/y) = 13--------(1)

(5/x)-(4/y) = -2 -------(2)

Put 1/x = a and 1/y = b then

2a + 3b = 13 ----------(3)

On multiplying with 5 then

10a +15 b = 65 -------(4)

and

5a -4b= -2 ----------(5)

On multiplying with 2 then

10 a - 8b = -4 -------(6)

On Subtracting (6) from (4) then

10a + 15b = 65

10a - 8b = -4

(-)

_____________

0 + 23 b = 69

______________

⇛ 23b = 69

⇛ b = 69/23

⇛ b =3

On Substituting the value of b in (5)

5a -4b= -2

⇛ 5a -4(3) = -2

⇛ 5a -12 = -2

⇛ 5a = -2+12

⇛ 5a = 10

⇛ a = 10/5

⇛ a = 2

Now we have

a = 2

⇛1/x = 2

⇛ x = 1/2

and

b = 3

⇛1/y = 3

⇛ y = 1/3

<u>Answer :-</u>The solution for the given problem is (1/2,1/3)

<u>Check</u>: If x = 1/2 and y = 1/3 then

LHS = (2/x)+(3/y)

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

= (2×2)+(3×3)

= 4+9

= 13

= RHS

LHS=RHS is true

and

LHS=(5/x)-(4/y)

⇛ 5/(1/2)- 4/(1/3)

⇛(5×2)-(4×3)

⇛ 10-12

⇛ -2

⇛RHS

LHS = RHS is true

5 0
2 years ago
Joseph has a job walking dogs and gets paid per dog. He needs to walk 45 dogs to earn enough money to pay for his soccer team fe
rusak2 [61]

Using proportions, it is found that it will take him 22.5 hours to walk the 45 dogs.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

He walks 3 dogs in 1 hour and 30 minutes, we means that the time in hours it takes for him to walk a dog is:

t = 1.5/3 = 0.5 hours.

Hence the time it will take him to walk 45 dogs is given by:

45 x 0.5 = 22.5 hours.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0
1 year ago
In the ordered pair (2, 3), what is the x-coordinate? y-coordinate?
blagie [28]

Answer:

2 = x- coordinate

3 = y coordinate

Step-by-step explanation:

REMEMBER: In an ordered pair, the x-coordinate always comes first.

3 0
3 years ago
F(4) = ______<br> If g(x) = 2, x = _____
disa [49]

Answer:

<h2>f(4) = -10 </h2><h2> </h2><h2>x = 0 </h2>

Step-by-step explanation:

From the graph attached,

For x = 4,

Value of the function will be,

f(4) = y value at x = 4

f(4) = -10

Similarly, for y = g(x) = 2,

x value of the function will be,

x = 0

For which g(0) = 2

Therefore, for x = 0 value of the function will be 2.

g(0) = 2

5 0
3 years ago
Julia saw 5 times as many cars as trucks in a parking lot. If she she saw 30 cars and trucks altogether in the parkinng lot, how
mina [271]
Assume the number of trucks is x
number of cars is 5x
5x+x=30
6x=30
x=5
Julia saw 5 trucks
4 0
3 years ago
Read 2 more answers
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