there are 2000 sheets of paper in 4 reams of paper.which of the following expresses the ratio of reams to paper?

A retangle has a perimeter (p) of 58 inches. The length (L) is one more than 3 times the width (W)

worty [1.4K]

The rectangle has a perimeter P of 58 inches.The length l is one more than 3 times the width w.write and solve a system of linear equations to find the length and width of the rectangle?

Answer:

Length(L)=22 inches

Width(W) = 7 inches

Step-by-step explanation:

GIven:-

Perimeter (p)=58 inches,

Length(L)= one more than 3 times the width(W)

Let, W=x ---------------------------------(equation 1

$L=3x+1$ -----------------------(equation 2)

Here x is unknown and to find the Width(W) we have to find the value of x.

Now,

Perimeter of rectangle(p) = 2 times length(L) + 2 times width(W)

$p=2L+2W$

$p=2(3x+1)+2x$ ----------------(from equation 1)

$58=6x+2+2x$ ----------------(given p=58 inches)

$58=8x+2$

$8x=58-2$

$8x=56$

$x=\frac{56}{8}$

$x=7$ ----------------------(equation 3)

Now substituting the value of equation 3 in equation 2.

$L=3x+1$

$L=(3\times 7)+1$

$L=21+1$

$L=22$

$L=22 inches$

as, $W=x$ -----------------------(from equation 1)

$W=7$ inches -------------------(equation 3)

Therefore, Length(L) = 22 inches and Width(W) = 7 inches.

7 0

3 years ago

Help me plsss! Thank you

Brrunno [24]

You want to calculate the interest on $3020 at 5% interest per year after 6 6 month period(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $3020.00.

r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

t is the time involved, 6....6 month period(s) time periods.

Since your interest rate is "per year" and you gave your time interval in "6 month period(s)" we need to convert your time interval into "year" as well.

Do this by dividing your time, 6- 6 month period(s), by two (2), since there's two 6-month periods in 1 year.

So, t is 3....year time periods.

To find the simple interest, we multiply 3020 × 0.05 × 3 to get that:

The interest is: $453.00

Usually now, the interest is added onto the principal to figure some new amount after 6 6 month period(s),

or 3020.00 + 453.00 = 3473.00. For example:

If you borrowed the $3020.00, you would now owe $3473.00

If you loaned someone $3020.00, you would now be due $3473.00

If owned something, like a $3020.00 bond, it would be worth $3473.00 now.

4 0

3 years ago

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4+5+8/2x9=????????????

Zolol [24]

45. Using order of operations.

5 0

4 years ago

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What is the length of the side opposite the 60 degree angle?

yaroslaw [1]

All triangles equal 180 so the answer would be set up as follows:
180-60-90 (right triangle) = 30 degrees
30 degrees is the answer

4 0

3 years ago

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Which of the following would you most likely measure in kilograms?

garri49 [273]

Answer:

The mass of a longhorn cow.

Step-by-step explanation:

Kilograms will measure mass, not length, so we are left between two options. Kilograms would be used for heavier objects, so between a paper clip (which would be likely measured in grams,) and the longhorn, the cow would be what you would measure in kilograms.

5 0

3 years ago