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2 years ago

1.4 solving two step and multiple-step equations 2r+20=200

Mathematics

2 answers:

Over [174]2 years ago

5 0

Answer:

r = 90

Step-by-step explanation:

Our goal is always to get the variable we're trying to solve for on one side of the =, and everything else on the other side. Since we are solving for r here, we want to get rid of the 20 first, and then the 2.

subtract 20 from both sides:

2r = 200 - 20 = 180

divide both sides by 2:

r = 180 / 2 = 90

Neko [114]2 years ago

5 0

Steps for solving:

Start by isolating 2r by subtracting 20 from both sides.

This leaves us with 2r = 180.

Now divide both sides by 2 and <em>r = 90</em>.

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2 years ago

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ANTONII [103]

Answer: 10 units²

Step-by-step explanation:

We can divide the shape along the y-axis to get 2 separate triangles. If we find the area of each and add them up, we can get the total area of the figure.

We can get each triangle's area using the formula $A = \frac{1}{2}bh$

<h3>Left Triangle</h3>

base length - 4 units

height - 4 units

$A = \frac{1}{2}(4)(4)$

$A=\frac{1}{2}(16)$

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<h3>Right Triangle</h3>

base length - 2 units

height - 2 units

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1 year ago

antiseptic1488 [7]

Answer: 123

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2 years ago

In a random sample of 200 students, 55% indicated they have full-time jobs, while the other 45% have part-time jobs. Fifty of th

Zigmanuir [339]

Answer:

The probability is $\frac{5}{9}$

Step-by-step explanation:

The total number of students are 200.

number of full timers is 110 and number of part timers is 90.

number of male students is 90 and number of female students is 110.

Let the probability of part timers be P(B).

P(B) = $\frac{90}{200}$ = $\frac{9}{20}$

Let the probability of female part timers be P(A)

P(A) = $\frac{50}{200} = \frac{5}{20}$

now, the final probability is

= $\frac{P(A)}{P(B)}$

= $\frac{5/20}{9/20} = \frac{5}{9}$

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3 years ago

Dominic considers buying 2 points on a 25-year, fixed rate mortgage for $187,600. His interest rate will be 5.45% if he does not

algol [13]

Answer:

If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment. The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment. The monthly payment at 5.45% is $1,146.43, the monthly payment for 5.2% is $1,118.66. This is a difference of $27.77 per month. The 2 points will cost him $3,752.00. The question is asking how long will it take Dominic to re-coup his $3,752.00 if he saves $27.77 per month. Just divide the 2 numbers and you get 135.10 months. If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.

Step-by-step explanation:

Here is what the question is asking. If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment. The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment. The monthly payment at 5.45% is $1,146.43, the monthly payment for 5.2% is $1,118.66. This is a difference of $27.77 per month. The 2 points will cost him $3,752.00. The question is asking how long will it take Dominic to re-coup his $3,752.00 if he saves $27.77 per month. Just divide the 2 numbers and you get 135.10 months. If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.

3 0

3 years ago

1.4 solving two step and multiple-step equations 2r+20=200​

1.4 solving two step and multiple-step equations 2r+20=200