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3 years ago

Also need help with this one

Mathematics

1 answer:

katen-ka-za [31]3 years ago

8 0

Let the width of table B be w, and since area of table A = area of table B, then 6 2/3 x 3 1/2 = 4 1/4 x w [this is the required equation]
20/3 x 7/2 = 17/4 w
17/4 w = 70/3
w = 70/3 / 17/4 = 70/3 x 4/17 = 280/51 = 5 25/51

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Solve for L. m=LN+2/K

Iteru [2.4K]

Answer:

$l = \frac{m - \frac{2}{k} }{n} \\ \\$

Step-by-step explanation:

$m = ln + \frac{2}{k} \\ m - \frac{2}{k} = ln \\ \frac{m - \frac{2}{k} }{n} = \frac{ln}{n} \\ l = \frac{m - \frac{2}{k} }{n} \\$

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4 years ago

Cameron is painting one wall of his dining room. It is

Harman [31]

Answer:

me name is cameron

Step-by-step explanation:

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3 years ago

The combined area of a square and a rectangle is 225 square yards. the length of the rectangle is 8 times the width of the recta

snow_lady [41]

Answer:

The rectangle: L = 40 yards. W = 5 yards

The square: The length and width are both 5 yards.

Step-by-step explanation:

Let L and W be the length and width of the rectangle.

Let l and w be the length and width of the square.

Area for each is:

Rectangle: L*W

Square: l*w

We are told that L*W + l*w = 225 yards^2

We are also told that

L = 8W

and that

l = W

Since the sides of a square are all equal, w is also W: w=W

Summarizing and substituting:

L*W + l*w = 225 yards^2

(8W)*W + W*W = 225 yards^2

8W^2 + W^2 = 225 yards^2

9W^2 = 225 yards^2

W^2 = 25

W = 5 feet

---------------------

Therefore, since L = 8W , L = 40 yards. W = 5 yards for the rectangle.

The square: l=W, so l = 5 yards, and thus w=5 yards

--------------------------

Check:

Do a rectangle of 40' x 5' plus a square of 5' x 5' have a total combined area of 225 yards^2?

40yd x 5yd + 5yd x 5yd = 225 yards^2?

200 yd^2 + 25 yd^2 = 225 yards^2?

YES

5 0

2 years ago

Write the equation of a line that passes through the point (-2, 1) and has a slope of 4.

babymother [125]

Answer:

D. y = 4x + 9

Step-by-step explanation:

a line that passes through the point (-2, 1) and has a slope of 4

y = 4x + b

b = y - 4x

b = 1 - 4(-2)

b = 1 + 8

b = 9

So equation

y = 4x + 9

4 0

4 years ago

A person invests 8500 dollars in a bank. The bank pays 6% interest compounded semi-annually. To the nearest tenth of a year, how

Mekhanik [1.2K]

The time required to get a total amount of $15,500.00 with compounded interest on a principal of $8,500.00 at an interest rate of 6% per year and compounded 2 times per year is 10.162 years (about 10 years 2 months)

<h3>Compound Interest Analysis</h3>

Given Data

Principal P = $8,500

Rate r = 6%

Final Amount A = $15500

Time t = 1 year

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 6/100

r = 0.06 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(15,500.00/8,500.00) / ( 2 × [ln(1 + 0.06/2)] )

t = ln(15,500.00/8,500.00) / ( 2 × [ln(1 + 0.03)] )

t = 10.162 years

Learn more about compound interest here:

brainly.com/question/24924853

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2 years ago