Which of the following ratios are in proportion: a) 5, 25, 6, 30 b) 15, 40, 3,8 c) 8,15,5,9

Answers

Answer 1

Answer:

Final answer:

In order to determine if ratios are in proportion, we need to check if the cross products of the ratios are equal. Parts a and b are in proportion, while part c is not.

Explanation:

In order for ratios to be in proportion, the cross products of the ratios must be equal. Let's check the ratios given:

a) 5/25 = 1/5 and 6/30 = 1/5, so these ratios are in proportion.

b) 15/40 = 3/8 and 3/8 = 3/8, so these ratios are in proportion.

c) 8/15 ≠ 5/9, so these ratios are not in proportion.

Therefore, the ratios in parts a and b are in proportion.

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Find two consecutive positive odd integers whose product is 35??

Answers

You could multiply -7*-5 in order to get 35 which in case you don't know when you multiply 2 negative integers together you get a positive number just like when you add 2 odd numbers together

Answer:

Step-by-step explanation:

You could multiply -7*-5 in order to get 35 which in case you don't know when you multiply 2 negative integers together you get a positive number just like when you add 2 odd numbers together

Gibraltar Construction was granted a 1-year construction loan of $650,000 to finance the construction of an apartment complex. Gibraltar borrowed the money from Citizens Trust at an interest rate of 0.75% ordinary interest over the prime rate. What was the maturity value of the loan if the prime rate is 8.75%?

Answers

Given:
loan: 650,000
prime rate: 8.75%
interest rate of 0.75% ordinary interest over the prime rate

Interest rate: 8.75% + 0.75% = 9.5%

650,000 x 9.5% x 1 = 61,750 interest

maturity value: 650,000 + 61,750 = 711,750

Simplify 3[(15-3)^2 + 4]

Answers

Answer:

444

Step-by-step explanation:

3 [ ( 15 - 3 )^2 + 4 ]

= 3 [ ( 15 - 3 )^2 + 4 ]

= 3 [ ( 12 )^2 + 4 ]

= 3 [ 144 + 4 ]

= 3 [ 148 ]

= 444

Step-by-step explanation:

3(15-3)²+4

3(12)²+4

3×144+4

432+4

436 Answer

What is 3 percent of $1500

Answers

3 percent is 3 for every [1] hundred, and there are 15 hundreds in 1500, so we multiply 3 by 15 for 15 hundreds to get 45, and then we translate that back to money to get
$45

From the top of a building, 40 feet above the ground, a construction worker locates a rock at a 12° angle of depression. How far is the rock from the building?