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2 years ago

Find an equivalent ratio in simplest terms: 25:75

Mathematics

1 answer:

Sati [7]2 years ago

5 0

Answer:

1:3

Step-by-step explanation:

Both numbers are divisible by 25:

25 ÷ 25 = 1
75 ÷ 25 = 3

∴ The simplified ratio is 1:3

Hope this helps!

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The question is there

Katarina [22]

Answer:

3 cm

Step-by-step explanation:

Set up an equation that solves for the surface area, "112 $cm^{2}$ " :

10(2)+10(2)+2x+2x+10x+10x = 112

20+20+4x+20x = 112

24x+40=112

24x=72

x=3

So, 3 cm.

7 0

2 years ago

Simplify. please7−5x−(3+5x) 4 + 10x44−10x10 + 10x

Alenkasestr [34]

Simplify the expression:

7 - 5x - (3 + 5x)

Operate the parentheses. Each term changes its signs because the minus sign represents a -1:

7 - 5x - (3 + 5x) = 7 - 5x - 3 - 5x

Collect like terms:

7 - 5x - (3 + 5x) = 7 - 3 -5x - 5x

Simplify:

7 - 5x - (3 + 5x) = 4 - 10x

Answer: 4 - 10x

8 0

10 months ago

What is 156% of 820? Round to the nearest hundredth (if necessary).

kramer

820 • 156% = 1279.2 jdjsjsijdcbidjejdb

3 0

3 years ago

Read 2 more answers

Ralph Phillips obtained a 12-month, $1500.00 loan at 12%. His monthly payment is $133.20. For the first payment find:

Paul [167]

Answer:

a. The interest is US$ 8.20

b. The payment to principal is US$ 125.

c. The new balance is: US$ 1,465.20 (including principal and interest) or US$ 1,375 (just the principal).

Step-by-step explanation:

1. Let's review the information given to answer this question correctly:

Loan obtained by Ralph Phillips = US$ 1,500

Time of paying back the loan = 12 months

Interest rate of the loan = 12%

Monthly payment = US$ 133.20

2. Let's find a, b and c.

The principal is US$ 1,500. Dividing it by 12 months, the monthly payment of principal is US$ 125. Therefore,

a. The interest is (133.20 - 125) = US$ 8.20

b. The payment to principal is US$ 125.

c. The new balance is: US$ 1,465.20 (including principal and interest) or US$ 1,375 (just the principal).

5 0

3 years ago

10. In right triangle FGH shown below,

Vikki [24]

Applying the leg rule, and solving algebraically, the lengths are determined as:

JG = 9

HJ = 12

The Leg rule states that when an altitude bisects the right angle of a right triangle and intersects the hypotenuse, then, hypotenuse/leg = leg/part.

Find length of JG using algebraic solutions and the leg rule:

Let JG = x

Hypotenuse = x + 16

Leg = 15

Part = x

Therefore:

(x + 16)/15 = 15/x (leg rule)

Cross multiply

x(x + 16) = (15)(15)

x² + 16x = 225

x² + 16x - 225 = 0

Factorize

(x + 25)(x − 9) = 0

x = -25 or x = 9

The length of JG (x) cannot be negative, therefore, the length of JG = 9.

Find length of JG using algebraic solutions:

Let HJ = y

Based on the altitude theorem, we would have:

y = √(16 × JG)

Substitute

y = √(16 × 9)

y = √(144)
y = 12

Therefore, the length of HJ is: 12.

Learn more about the leg rule on:

brainly.com/question/25016594

5 0

2 years ago