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4 years ago

What are the steps to this equation?

Mathematics

1 answer:

Gala2k [10]4 years ago

3 0

Answer:

1. Add 1 to both sides

2. Multiply both sides by 4

3. Take the square root of both sides

4. Subtract 5 from both sides

Step-by-step explanation:

$\frac{1}{4} (x+5)^{2} -1=3$

Add 1 to both sides

$\frac{1}{4} (x+5)^{2}=4$

Multiply both sides by 4

$(x+5)^{2}=16$

Square root both sides

$x+5=4$

Subtract 5 from both sides

$x=-1$

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If the Probability of an event happening is 70%, what are the ODDS of the event happening? Group of answer choices 7:10 7:3 10:7

Vladimir [108]

Answer:

The odds of the event happening = 7:3

Step-by-step explanation:

Given

Probability of an event happening = 70%

To find the odds of the event happening.

Solution:

Odds of an event happening is the ratio of the probability of the event happening and the probability of the event not happening.

Probability of the event not happening will be = $100\%-70\%=30\%$

So, the ratio of the probabilities of event happening and not happening can be given as:

⇒ $\frac{70\%}{30\%}$

⇒ $\frac{70}{100}\div \frac{30}{100}$ [Representing percent in fraction form]

⇒ $\frac{70}{100}\times \frac{100}{30}$ [Replacing division sign with multiplication sign by taking reciprocal of divisor.]

⇒ $\frac{70}{30}$ [Canceling out the common terms]

⇒ $\frac{7}{3}$ [Reducing fraction to simplest form]

Thus, odds of the event happening is = $7:3$

6 0

4 years ago

Which equations show inverse operations of each other? Choose exactly two answers that are correct. A. 9÷13 =27 B. 27×13 =9

nirvana33 [79]

Okay a,b,c don't make sense at all. but if I had to choose I'd go with A and B since the exact numbers are used

8 0

4 years ago

On Saturday, Jessica earned $45 for doing 3 hours of yard work. On Sunday, she did 5 hours of yard work. How much money did Jess

Temka [501]

Answer:

Step-by-step explanation:

first of all, we need to divide $45 and the 3, we get 15, so shes making 15 dollars an hour. do 15 x 5=75. so the answer is 75

7 0

2 years ago

Please help due very soon!!!!

Natasha_Volkova [10]

Answer:

$51 in^{2}$

Step-by-step explanation:

$===========================================$

Formulas:

Area of a rectangle/square:

$A=lw$

Area of a triangle:

$A=bh\frac{1}{2}$

$===========================================$

Square:

3*3=9 in.

Triangles(4):

$3*7*\frac{1}{2}=10.5$

Multiply by 4.

$10.5*4=42$

42 in

Add 9 and 42 together. You get

$51 in^{2}$

8 0

3 years ago

Read 2 more answers

How many 1 2 ounce servings are available in 12 ounces of salted peanuts?

WITCHER [35]

12 ounces divided by 2 ounces is 6 servings.

7 0

4 years ago