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omeli [17]
3 years ago
15

Question 11 (2.5 points)

Mathematics
1 answer:
mel-nik [20]3 years ago
6 0

Answer:

42 in

Step-by-step explanation:

108 in = 2l + 2w

l = 12 in

108 = 24 + 2w

84 = 2w

w = 42

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A sum of $4200 was invested, part at 8% and the remainder at 11%. If $426.00 was earned in interest after one year, how much was
enot [183]

Answer:

$3000 was invested at 11%.

Step-by-step explanation:

The total interest was $426.  This was comprised of interest earned at 8% (represented by e) and (separately) interest earned at 11% (represented by v).

Then e + v = $4200 total investment, and  

i = $426 = e(0.08)(1 year) + v(0.11)(1 year)

We eliminate the variable e as follows:  since e + v = $4200, e = $4200 - v.  Thus,

i = $426 = e(0.08)(1 year) + v(0.11)(1 year) becomes:

i = $426 = ($4200 - v)(0.08)(1 year) + v(0.11)(1 year)  

This is one equation in one unknown, the amount of $ invested at 11%.

Performing the indicated multiplications:

426 = 4200(0.08) - 0.08v + 0.11v.  Simplifying this further, we get:

426 = 336 + 0.03v.

Then 90 = 0.03v, and v = 90 / 0.03 = $3000.

$3000 was invested at 11%.

6 0
3 years ago
at Westside high school, 24% of the 215 sixth grade students walk to school. about how many of the sixth grade students walk to
kirill115 [55]

Answer:

about 52 (51.6 to be exact) sixth graders walk to school!

Step-by-step explanation:

1. take 24 and times it by 215

2. divide the above by 100

3. this will give you 51.6

4. round for an approximate value

5 0
3 years ago
Area of a square with the length of 100cm and a width of 2cm
Rashid [163]

Answer:

200cm^{2}

Step-by-step explanation:

the formula for working out the area is to multiply the length by the width.

so for this you would multiply 100 by 2 which gives you 200 cm squared

100*2=200cm^{2}

4 0
3 years ago
Read 2 more answers
Will give, Branliest.​
Vlad [161]

Answer:

24

Step-by-step explanation:

x * 5 - 17 = 103

x * 5 = 120

x = 24

4 0
3 years ago
Read 2 more answers
Can you please help me with 23 and 25 I do not understand!!! Please help
adell [148]

when you multiply a number by a value that's greater than 1, that number increases, for example 2 and then we multiply it like 2 * 3, clearly 2*3 is greater than 2.

now when you multiply a number  by a value that's lesser than 1, that number decreases, for example 2 and then we multiply it by something like 1/4, so 2 * 1/4 = 1/2, well, clearly 1/2 is smaller than 2, so 1/2 is a decreased value of 2.

23)

we have here 4/7, and then a product, well, the product is 4/7 and 9/10, however 9/10 is less than 1, recall 1 = 10/10, 9/10 is just a tiny bit less than 1.

because we're multiplying 4/7 by some amount less than 1, the product is a smaller value than 4/7, thus

 \bf \cfrac{4}{7}~~>~\left( \cfrac{9}{10}\times \cfrac{4}{7} \right)

25)

we have here 5/6 and we multiply it by 7/7, wait a minute!!! 7/7 = 1, we're really just multiplying 5/6 by 1 then, what does that give us?  well, 5/6 * 1  = 5/6, just the number itself,

\bf \cfrac{5}{6}~~=~\left( \cfrac{5}{6}\times \cfrac{7}{7} \right)

7 0
3 years ago
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