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kherson [118]
3 years ago
7

If me.Arenth wants to put new carpeting in the room shown, how many square feet should he order

Mathematics
1 answer:
Liula [17]3 years ago
7 0

By definition, the area is given by:


A = w * l  


Where,


w: width


l: length


We have two expressions for the length:


L = 14\\L = 5 + 3c


Since the length is the same, we equate both expressions:


5 + 3c = 14  


From here, we clear the value of c:


3c = 14 - 5\\3c = 9  


c = \frac{9}{3}\\c = 3  


Then, we have that the width is given by:


W = 6c-8  


Substituting the value of c we have:


W = 6 (3) -8\\W = 18-8\\W = 10  


Finally, the area is given by:


A = w * l\\A = 10 * 14\\A = 140 ft ^ 2  


Answer:


he should order 140 square feet

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Simon had 2 cups of jelly he put the jelly in to 1/3 cup jars how many jars of jelly did he make
Hoochie [10]

Answer: 6 jars

Step-by-step explanation:

All you need to do is divide 2 by 1/3. This is the same thing as multiplying 2 by the reciprocal of 1/3 (just flip the fraction) which is 3/1 or 3. Now, just multiply 2 and the reciprocal of 1/3, which we found out was three, and you should should get your answer of 6 jars. Hope this helps!

4 0
3 years ago
Find the first three terms of the arithmetic series described. n= 16 aₙ= 15 sₙ= -120.
creativ13 [48]

Answer:

The first three terms are -30, -27 and -24

Step-by-step explanation:

The formula for nth term of a arithmetic series is given by:

aₙ = a₁ + (n - 1)d

Substitute n = 16 in the given equation:

a₁₆ = a₁ + (16 - 1)d

Where aₙ = a₁₆ = 15. Substitute in the given equation

15 = a₁ + 15d ⇒ Equation (i)

Sum of arithmetic sequence is given by:

Sₙ = n(a₁ + aₙ) / 2

Substitute n = 16 in the above equation:

S₁₆ = 16(a₁ + a₁₆) / 2

Where S₁₆= -120 and a₁₆=15, substitute:

-120 = 16(a₁ + 15)/2

-240 = 16(a₁ +15)

-15 = a₁ + 15

a₁ = -30

Substitute it in Equation (i)

15 = a₁ + 15d

15 = -30 + 15d

15d = 15+30

d = 45/15

d = 3

So

a₁ = -30

a₂ = a₁ + (2-1)d

a₂ = -30 + 3

a₂ = -27

a₃ = a₁ + (3-1)d

a₃ = a₁ + 2d

a₃ = -30 + 2(3)

a₃ = -30 +6

a₃ = -24

8 0
3 years ago
12x3/8 pls help anybody I’m stuck on this problem
diamong [38]

Answer:

4.5

or 4 1/2

Step-by-step explanation:

have a good day

6 0
3 years ago
Read 2 more answers
1) Does the point (0,4) make either equation true? Substitute it in and find out.​
Gekata [30.6K]

Answer:

The point (0,4) doesn't make either equation true.

Step-by-step explanation:

Consider the equations.

y=-2x and y=x+3

We need to determine the point (0,4) make either equation true.

Substitute x=0 and y=4 in y=-2x

4=-2(0)

4=0

Which is false.

Substitute x=0 and y=4 in y=x+3

4=(0)+3

4=3

Which is false.

Hence, the point (0,4) doesn't make either equation true.

7 0
3 years ago
Geometry question, someone pleaseeeee help me with it!!!
Vikentia [17]

Answer:

(-7,4)

Step-by-step explanation:

MN is 4/9 NP so

To find the x value

-19 and 8 are 27 apart and 27(4/9)=12

so you add 12 to the x value of P so 12+-19=-7 so the x value of N is -7

so the same for the y value

12 and -6 are 18 apart

18(4/9)=8 so you subtract 8 from the y value of P

12-8=4

so the y value N is 4

so N is

(-7,4)

These 3 problem I have answered have been almost the same except the numbers do you not understand how to do these problems and if not I can help you understand for the last question?

5 0
4 years ago
Read 2 more answers
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