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kolezko [41]
3 years ago
9

How many factors are in the expression 2w(w+9)

Mathematics
1 answer:
Delvig [45]3 years ago
4 0
There are 3 factors in the expression which are 2w w and 9
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Shopping at Savers Mart, Lisa buys her children 4 shirts and 3 pairs of pants for $85.50. She returns the next day and buys 3 sh
maria [59]

Answer:

price for one shirt

=

$

7.50

price for one pair of pants

=

$

18.50

Explanation:

Start by letting variables

x

and

y

represent the pieces of clothing from the problem.

Let

x

be the price of one shirt.

Let

y

be the price of one pair of pants.

Equation

1

:

4

x

+

3

y

=

85.50

Equation

2

:

3

x

+

5

y

=

115.00

You can solve for each variable by using elimination or substitution. However, in this case, we will use use elimination. First, we will solve for

y

, the price of each pair of pants.

To isolate for

y

, we must eliminate

x

. We can do this by making the two equations have the same

x

values. First, we find the LCM of

4

and

3

, which is

12

. Next, multiply equation

1

by

3

and equation

2

by

4

so that

4

x

and

3

x

becomes

12

x

in both equations.

Equation

1

:

4

x

+

3

y

=

85.50

3

(

4

x

+

3

y

)

=

3

(

85.50

)

12

x

+

9

y

=

256.50

Equation

2

:

3

x

+

5

y

=

115.00

4

(

3

x

+

5

y

)

=

4

(

115.00

)

12

x

+

20

y

=

460.00

Now that we have two equations with

12

x

, we can subtract equation

2

from equation

1

to solve for

y

.

12

x

+

9

y

=

256.50

12

x

+

20

y

=

460.00

−

11

y

=

−

203.50

y

=

18.50

⇒

price for one pair of pants

Now that we know that a pair of pants is

$

18.50

, we can substitute this value into either equation

1

or

2

to find price for one shirt. In this case, we will choose equation

1

.

4

x

+

3

y

=

85.50

4

x

+

3

(

18.50

)

=

85.50

4

x

+

55.5

=

85.50

4

x

=

28

x

=

7.50

⇒

price for one shirt

∴

, the price for one shirt is

$

7.50

and the price for one pair of pants is

$

18.50

.

Step-by-step explanation:

yea

5 0
2 years ago
How many pounds of cashews that cost $14 per pound must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixe
Fantom [35]

The amount of cashew mixed is 5 pounds

<h3>Word problem on total cost</h3>

Cost of 1 pound of cashew = $14

Cost of 1 pound of peanut = $6.50

Total cost of 1 pound of the mixed nuts = $10.25

Cost of 5 pounds of peanuts = 5 x $6.50

Cost of 5 pounds of peanuts = $32.50

Let the amount of cashew  be x

Total cost of x cashew = 14x

Total amount of the mixed nuts = x + 5

Total cost of the mixed nuts = 10.25(x+5)

Total cost of the mixed nuts = 10.25x + 51.25

14x  +  32.50  =  10.25x  +  51.25

14x - 10.25x  =  51.25  -  32.50

3.75x  =  18.75

x  =  18.75/3.75

x  =  5

Therefore, the amount of cashew mixed is 5 pounds

Learn more on word problem on cost here: brainly.com/question/21405634

#SPJ1

8 0
1 year ago
Read 2 more answers
If equal amounts are added to the numerator and the denominator of the current ratio, the ratio will always:
Marta_Voda [28]

Answer:

Increase?

Step-by-step explanation:

Because think about it let's use 1/2 as an example.

1/2 equals .5 now lets add 2 to both the numerator and denominator

3/4 is the result and it also equals .75 which is larger than .5 so that's why the answer is increase.

and u can keep on going on with the method

4/5=.8

7 0
3 years ago
A rectangle is formed by two congruent right triangles. The area of each triangle is 6 in2. If each side of the rectangle is a w
viktelen [127]
Area of the rectangle is 2*6=12 in^2
12 could be = 1*12  or 2*6   or 3*4 
P could be 2*(1+12)=2*13=26 
                  2*(2+6)=2*8=16
                   2*(3+4)=2*7=14

the answer is 24 in  (c)
4 0
2 years ago
James defines a line segment as "a portion of a line." His statement is not precise enough because he should specify that
vekshin1

Answer: D. the segment has two endpoints.

Step-by-step explanation:

A line segment refers to a part of a line which is bounded by two distinct end points. The line segment is part of the line which helps in the connection of two points that are considered to be the endpoints.

A line segment is the distance between the two points and which one measure.

They can be used to form a side of a polygon because they have a defined length.

8 0
2 years ago
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