What is the sum of the fractions below 2/7+1/5 A.1/4 B.11/35 C.17/35 D.1/6

nadya68 [22]

We have to complete the statement of

$20ax^2+25ax+15a = 5a\left ( \ \ \ \ \ \ \right )$

The left hand side is given by

$20ax^2+25ax+15a$

Now when we take GCF as 5a, then we have to divide each term of the expression with 5a. Thus, we have

$20ax^2+25ax+15a = 5a \left (\frac{20ax^2}{5a}+\frac{25ax}{5a}+\frac{15a}{5a} \right )\\
\\
20ax^2+25ax+15a = 5a\left ( 4x^2 +5x+3 \right )$

Therefore, to complete the statement we need to enter $4x^2 +5x+3$ in the box.

6 0

3 years ago

Your company has just taken out a 1-year installment loan for $72,500 at a nominal rate of 20.0% but with equal end-of-month pay

Mariulka [41]

Answer:

100% of the 2nd monthly payment go toward the repayment of principal.

Step-by-step explanation:

The loan taken is the Principal which is mentioned as $72,500 with interest at a nominal rate of 20%. Firstly, it is important to understand that nominal rate means non-compounding rate. Simply put will be a "one-time charged" rate on the loan. Since this is given as 20% of the Principal. It is calculated thus: $\frac{20}{100}$ × $\frac{72,500}{1}$ = $14,500. So the interest on the loan is $14,500. Added to the Principal the total amount to be paid back by the company becomes: $72,500 + $14,500 = $87,000. To pay back this amount at equal end-of-month installments in 1 year (12 months), we divide the total amount by 12. i.e $\frac{87000}{12}$ = $7250. This means, the monthly payment will be $7,250. Since the monthly payment pays only 10% of the initial principal $72,500. By the second month only 20% of the Principal would have been paid. So all of the monthly payment will go towards repaying the principal

3 0

3 years ago

A liquid substance was left at the scene of the crime. Krisann uses a beaker that measures to the nearest tenth of a liter and f

AVprozaik [17]

4.85 <= x < 4.95 . does not intersect x > 5.No it does not need to be sent to the lab. B.
yes, since the beaker meaures to the nearest tenth of a liter , the range of the actual value is plus or minus 0.1 liters , which means there could be up to 5 liters of the substance

8 0

3 years ago

An 16 16-oz jar of peanut butter in the shape of a right circular cylinder is 7 7 in. high and 5 5 in. in diameter and sells fo

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

Considering the 16 oz jar,

h = 7 inches

Diameter = 5 inches

Radius = diameter/2 = 5/2

r = 2.5 inches

Volume = 3.14 × 2.5² × 7 = 137.375 inches³

Considering the 29 oz jar,

h = 7.5 inches

Diameter = 5.25 inches

Radius = diameter/2 = 5.25/2

r = 2.625 inches

Volume = 3.14 × 2.625² × 7.5 = 162.27 inches³

1) If the cost is directly proportional to volume, then

If 137.375 inches³ cost $1.6

then 162.27 inches³ should cost

(162.27 × 1.6)/137.375 = $1.89

The price of the larger jar would be $1.89

2) If the cost is directly proportional to weight, then

If 16 oz cost $1.6, then

29 oz would cost

(29 × 1.6)/16 = $2.9

The price of the larger jar would be $2.9

7 0

3 years ago

Garden A has 9 more currant bushes than Garden B. If 3 currant bushes are transplanted from Garden B to Garden A, then Garden A

marusya05 [52]

Answer:

42

Step-by-step explanation:

Let x = the original number of bushes in garden A

Let x-9 = the original number of bushes in garden B

x-9-3=x-12 = bushes in garden B after transplanting 3

x+3 = bushes in garden A after transplanting 3

x+3=1.5(x-12)

x+3=1.5x-18

0.5x=21

x=42

There were 42 current bushes in garden A

3 0

3 years ago

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