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2 years ago

Please help me!! i am struggling on these

Mathematics

1 answer:

Greeley [361]2 years ago

6 0

Answer:

The input units are missing

The output units are missing

Step-by-step explanation:

The input units are missing

The output units are missing

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The expressions 10/12(245b−365) and 2/3(3b+6) represent the lengths of the diagonals of parallelogram WXYZ. For what value of b

makkiz [27]

Answer:

b = 1.52

Step-by-step explanation:

Length of diagonals of a parallelogram = $\frac{10}{12}(245b - 365)$ and $\frac{2}{3}(3b+6)$

If the given parallelogram is a rectangle,

Length of the diagonals will be equal in measure,

Therefore, $\frac{10}{12}(245b - 365)=\frac{2}{3}(3b+6)$

245b - 365 = $\frac{12}{10}\times \frac{2}{3}(3b+6)$

245b - 365 = $\frac{4}{5}(3b+6)$

5(245b - 365) = 4(3b + 6)

1225b - 1825 = 12b + 24

1225b - 12b = 24 + 1825

1213b = 1849

b = $\frac{1849}{1213}$

b = 1.52

5 0

3 years ago

Kabul’s bookshop marks up all books by 40 percent of their cost. The overhead rate is 16 percent of the selling price. What is t

morpeh [17]

Answer:

The net profit rate on the book is 5.41

Step-by-step explanation:

Given as :

The marks up percentage of book = m = 40%

The overhead rate is 16% of selling price

The cost price of book = c.p = $18.10

Let The profit = $p

Let The selling price = s.p

Now, According to question

mark up percentage = $\dfrac{s.p - c.p}{c.p}$

I.e 40% = $\dfrac{s.p - 18.10}{18.10}$

Or, $\dfrac{40}{100}$ + 1 = $\dfrac{s.p}{18.10}$

Or, $\dfrac{140}{100}$ = $\dfrac{s.p}{18.10}$

Or, s. p = $\dfrac{140\times 18.10}{100}$

∴ s.p = $25.34

So, selling price of book = s.p = $25.34

Now, The overhead percentage = 16%

i.e overhead rate = $\dfrac{\textrm estimated cost}{\textrm estimated total base unit}$

Or, estimated cost = 16% × 25.34

I,e estimated cost = 0.16 × 25.34

∴ estimated cost = $4.05

Now,

Profit = selling price of book - estimated book cost

I.e p = $25.34 - $4.05

∴ p = $21.29

So, The profit rate% = $\dfrac{\textrm profit}{\textrm estimated cost}$

I.e The profit rate% = $\dfrac{21.29}{4.05}$

∴ profit rate %= 5.41

So, The profit rate = p = 5.41

Hence, The net profit rate on the book is 5.41 Answer

4 0

3 years ago

After 4 years aspen earned $510 in simple interest from a cd into which she initially deposited $3000. What was the annual inter

Alexeev081 [22]

I = PRT...and since we are looking for r.....I / PT = R

I / PT = R
I = 510
P = 3000
T = 4

510 / (3000 * 4) =
510 / 12,000 =
0.0425 .....multiply by 100 to get the percent
4.25% <==

6 0

3 years ago

Read 2 more answers

The polynomial p(x)=x^3-19x-30 has a known factor of (x+2)

riadik2000 [5.3K]

Answer:

(x+2) (x+3) (x-5)

Step-by-step explanation:

x³-19x-30 = (x+2) (x²+ax-15) ... x³=x*(1*x²) while -30= (2)*(-15)

x³ + 0*x² - 19x -30 = x³ + (2+a)x² + (2a-15)x -30

2+a = 0

a = -2

x³-19x-30 = (x+2) (x²-2x-15) = (x+2) (x+3) (x-5)

8 0

3 years ago

Read 2 more answers

Marie purchased a 29.00 gift. She uses a coupon that offers 30 percent. How much will she spend on the gift after the coupon?

asambeis [7]

Answer:

$20.30

Step-by-step explanation:

The usual price of the gift is $29.00

Marie will get 30% DISCOUNT on this price if she uses her coupon. So, the final price would be 30% less than $29.00

First, we need to find 30% of $29.00. Then we need to subtract that from original price (29).

Convert percentage to decimal first:

30% = 30/100 = 0.3

Now multiply this with 29 to get:

0.3 * 29 = $8.70

We subtract this from original price to get DISCOUNTED PRICE:

$29.00 - $8.70 = $20.30

6 0

3 years ago