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cupoosta [38]
3 years ago
6

What is the width of a rectangle that has an area of 12 square inches and a length of 2.5 inches

Mathematics
1 answer:
laiz [17]3 years ago
8 0

Answer:

<u>The width of the rectangle is 4.8 inches</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Area of the rectangle = 12 square inches

Length of the rectangle = 2.5 inches

2. What is the width?

We will find out the width, this way:

Width * Length = Area of the rectangle

Replacing with the real values, we have:

Width * 2.5 = 12

Width = 12/2.5

<u>Width of the rectangle = 4.8 inches</u>

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What is the next term in this arithmetic sequence?<br> 11, 8, 5, 2,...<br> 0-3<br> 06<br> 05
satela [25.4K]

Answer: the next term is -1

7 0
3 years ago
In an arithmetic sequence, t4 + t5 + t6 = 300, and t15 +t16+ t17 = 201. Find t18.
stiks02 [169]
In an arithmetic sequence:
Tn=t₁+(n-1)d

t₄=t₁+(4-1)d=t₁+3d
t₅=t₁+(5-1)d=t₁+4d
t₆=t₁+(6-1)d=t₁+5d

t₄+t₅+t₆=(t₁+3d) +(t₁+4d)+(t₁+5d)=3t₁+12d

Therefore:
3t₁+12d=300    (1)


t₁₅=t₁+(15-1)d=t₁+14d
t₁₆=t₁+(16-1)d=t₁+15d
t₁₇=t₁+(17-1)d=t₁+16d

t₁₅+t₁₆+t₁₇=(t₁+14d)+(t₁+15d)+(t₁+16d)=3t₁+45d

Therefore:
3t₁+45d=201    (2)

With the equations (1) and (2) we make an system of equations:

3t₁+12d=300
3t₁+45d=201

we can solve this system of equations by reduction method.

  3t₁+12d=300
-(3t₁+45d=201)
-----------------------------
       -33d=99      ⇒d=99/-33=-3

3t₁+12d=300
3t₁+12(-3)=300
3t₁-36=300
3t₁=300+36
3t₁=336
t₁=336/3
t₁=112

Threfore:

Tn=112+(n-1)(-3)
Tn=112-3n+3
Tn=115-3n

Now, we calculate T₁₈:

T₁₈=115-3(18)=115-54=61

Answer: T₁₈=61




5 0
3 years ago
What is the quotient 1 5/8 ÷ -1 3/5
Shalnov [3]

Answer:

-1 1/64

Step-by-step explanation:

13/8 * - 5/8 = -65/64, or -1 1/64

I hope this helped, please mark Brainliest, thank you!!

5 0
3 years ago
Simplify: (6)(93). Write your answer using an exponent.
strojnjashka [21]

Answer:

toooook teaehes

Step-by-step explanation:

sedmee endm the worlds nssssssssssssss

8 0
2 years ago
Suppose you have a five dollar off coupon at a fabric store you buy a fabric that cost $10 per yard
Lunna [17]
<h3>Answer:</h3>

1.) 10x-5=y

2.) $85

3.) 5.25 yards of fabric.

<h3>Step-by-step explanation:</h3>

1.) To write an equation for this problem, we need to figure out what every value means:

the variable x, represents the amount of yards of fabric you can buy

the variable y, represents the total amount of money after you found out (x) or the amount of yards of fabric.

1 yard of fabric equals $10, and we have a $5 coupon (-5)

Our equation is:

10x-5=y

This equation represents the relationship between the total cost of fabric, and the amount that you can buy.

2. In order to solve this problem we need to use our equation, one value is given which is 9.

9 represents x, the amount of yards of fabric.

Substitute 9 into x:

10(9)-5=y

<h3>Solve:</h3>

90-5=y

85=y

85 represents the cost of 9 yards of fabric, including the $5 coupon.

3.) This problem is similar to #2, although it's flipped.

The value given is $47.50, which represents (y), the total amount of money after (x) was found out.

But, we need to figure out (x).

Substitute $47.50 into (y):

10(x)-5=$47.50

Next, we need to figure out x by solving the opposite.

Adding the coupon to our answer can represent 10(x).

$47.50+5=52.50

10(x)=52.50

Lastly, divide both sides of the equation by 10.

10(x) / 10=52.50 /10

x=5.25

5.25 represents the amount of yards of fabric purchased if you paid $47.50.

7 0
2 years ago
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