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spin [16.1K]
4 years ago
12

The width of a rectangle is 8 units less than the length. If the area is 153 square units, then find the dimensions of the recta

ngle.
Mathematics
1 answer:
Liono4ka [1.6K]4 years ago
6 0
Length: 17 units
<span>Width: 9 units.  i think this is right </span>
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What is the value of X? Enter answer as a decimal...
lozanna [386]

Answer:

37.89051724=x

Step-by-step explanation:

We can use similar triangles and proportions to solve.  Put the same side of the small triangle over the large triangle.

MA         MB

------- = ----------

MN         MP

80.5 -35         x

------------- = ----------

70.5               96.6 -x

Simplifying

45.5             x

------------- = ----------

70.5               96.6 -x

Using cross products

45.5 (96.6-x) = 70.5x

Distribute

4395.3 - 45.5 x = 70.5x

Add 45.5x to each side

4395.3 - 45.5 x+45.5x = 70.5x+45.5x

4395.3 = 116x

Divide each side by 116

4395.3/116 = 116x/116

37.89051724=x

6 0
3 years ago
18,000 ÷ 60<br> = 18,000 ÷ 10<br> ÷ 6<br> =___÷ 6
ludmilkaskok [199]

Answer:

1800 ÷ 6

Step-by-step explanation:

18,000 ÷ 60 is the same as;

18,000 ÷ 10 ÷ 6 and is the same as;

1,800 ÷ 6

7 0
4 years ago
$1000 invested with compound interest at a rate of 15% per year for 9 years. Formula: M = P(1+ i)n Group of answer choices $3517
BaLLatris [955]

Answer:

Option A.

Step-by-step explanation:

Note: Let as consider, we have to find the total amount after 9 years.

It is given that,

Principal amount = $1000

Rate of compound (yearly) interest = 15% = 0.15

Time = 9 year

The formula for total amount is

M=P(1+i)^n

where, P is principal, i is rate of interest and n is number of years.

Substituting P=1000, i=0.15 and n=9, we get

M=1000(1+0.15)^9

M=1000(1.15)^9

M=1000(3.5178763)

M=3517.8763

M\approx 3517.88

So, the total amount after 9 years is $3517.88.

Therefore, the correct option is A.

6 0
3 years ago
Based on the figure below, what is the equation for the relationship of x equals the number of rectangles and y equals the perim
Ad libitum [116K]

Answer:

Are you still there? Continue answering or we'll let someone else answer in: 19:35

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
One month Ravi rented4 movies and8video games for a total of $57 The next month he rented2 movies and3 video games for a total o
e-lub [12.9K]

SOLUTION

Given the question in the question tab, the following are the solution steps to get the rental cost for each movie and each video game.

Step 1: Write the representation for the two rentals

Let m represents movies

Let v represent video games

Step 2: Write the statements in form of a mathematical equation

\begin{gathered} \text{Month 1: }4m+8v=57 \\ \text{Month 2: }2m+3v=23 \end{gathered}

Step 3: Solve the equations above simultaneously using elimination method to get the values of m and v

\begin{gathered} 4m+8v=57----(1) \\ 2m+3v=23----(2) \\ \text{ multiply equation 1 by 2 and equation 2 by }4 \\ 8m+16v=114----(3) \\ 8m+12v=92----(4) \\ \text{subtract equation (4) from equation (3)} \\ 4v=22 \\ v=\frac{22}{4}=5.5 \\ \text{Substitute 5.5 for v in equation 1 to get the value of m} \\ 4m+8v=57 \\ 4m+8(5.5)=57 \\ 4m+44=57 \\ 4m=57-44=13 \\ m=\frac{13}{4}=3.25 \\ m=\text{\$}3.25,v=\text{\$}5.50 \end{gathered}

Rental cost for each movies is $3.25

Rental cost for each video games $5.50

8 0
2 years ago
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