1. Sarah has an average of 92.5 for her 3 science tests. What does she need to make on the 4th test to get a 94% average. 2.The pep club is selling flower arrangements with a choice of 4 different types of flowers, 3 kinds of greenery, and with or without baby's breath. How many different flower arrangement's do they offer.

Please give me the explanations, not just the answers. Also please hurry, I need the answers quick.

Thanks!

Answers

Answer 1

Answer: 1) set up a problem
you know you want to get an avg of 94 but how do you do avg in the first place. you add up the numbers then divde by the total number of numbers used lol

so $(92.5+x)/(2)=94$
92.5 is the avg number for the last 3 tests
"x" is the 4th test score which we want to find out
"2" is the total number of numbers being added together

so now lets get x to one side

92.5+ x=94*2 (multiply 2 to both sides)
92.5+x=188
x=188-92.5 (subtract 92.5 from both sides)
x= 95.5 this is the score she need to make to avg 94%

2) you can draw a tree diagram. for example Flower1 branches off into 3 diff greens and then each of those greens branch off into 2 for with or with babies breath.

or you can simple multiply 4*3*2. you can do this because all choices are included with no restriction

your total number of options is 24

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The domain of the following relation R {(3, −2), (1, 2), (−1, −4), (−1, 2)} is{−1, 1, 3}
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{−4, −2, 2, 2}
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Answers

Given:
3, -2
1, 2
-1, -4
-1, 2

The format is (x,y)

The domain is all the x-values while range is all the y-values.

domain: (3,1, -1,-1) 2nd option given.

You want to put $2,500 in a simple interest account. It has a 4% annual interest rate. How long will it take you to earn $200 in interest?

Answers

find 4% and find how many times (years) it takes to get to 200

2500 times 4%=2500 times 0.04=100

100 times how many years=200
divide by 100 both sides
how many years=2

2 years

50 because all you have to do is divide 4 by 200 and it comes up 50 YAY!!!!!!!!!!Hope this helps.

X^2+10x-88=8
where is the mistake and what should be done differently?

Answers

Step-by-step explanation:

a) There's a mistake at the third step from the beginning.

b) Instead of adding 25 , Josh added 100. While solving an equation using "Completing Squares Method" , we need to write the L.H.S. in the form of $a^(2) + 2ab + b^(2)$ or $a^(2) - 2ab + b^(2)$ , so that in the next step it can be converted into $(a + b)^(2)$ or $(a - b)^(2)$ .

c) $x^(2) + 10x - 88 = 8$

Taking -88 to R.H.S. , it's sign changes and becomes +88.

$=> x^2 + 10x = 88 + 8 = 96$

Using "Completing Squares Method" , L.H.S. can be written as :-

$(x)^(2) + 2 * x * 5 + (5)^(2) = 96 + (5)^(2)$

$=> (x + 5)^(2) = 96 + 25 = 121$

$=> x + 5 = √(121) = -11 \: or +11$

$=> x = +6 \: or -16$

Based on one of the triangle congruence postulates, the two triangles shown are congruent. part 4True or False

Answers

Answer:

True

Step-by-step explanation:

The ASA postulate applies. Angles at either end of the common segment are marked congruent. Thus the triangle are congruent.

Compare partial products and regrouping how the methods are alike and different

Answers

Answer:

We get the same answer from both processes.In the end, it is a multiplication process. In partial product we take the values of ones, tens, hundreds in each step and then add them together. In regrouping same thing happens but we do not break them down to processes.

Step-by-step explanation:

In Partial products we multiply the numbers partially and add them together to get the answer. It is easier to explain with an example, lets say we multiply 47 by 3

1) 47

×3

--------

2) 47

×3

---------

120 ( $(3*40)$

3) 3 8

×3

----------

+21

120

-----------

141

In Regrouping we add the partial products to the next tens,hundreds and so on. We don not write them down and then add later. Lets take the same example and do the multiplication with Regrouping method.

1)2 --------> ( $3*7=21$ write the number in tenth place here)

×3

___

__1 --------> ( $3*7=21$ write the number in ones place here)

2)47

×3

___

141 ( $3*4=12$ then add the 2 above to get 14)

Partial products are different in regrouping in terms of how numbers are clustered from a set equation as a whole delivering it individual but naturally to all the numbers involved in the set.
Regrouping is just like the commutative or associative property of numbers.
Associative property of addition is used when you want to group addends. This is mainly used to cluster set of numbers or in this case, addends. How do you use the associative property when you break apart addends? Simple you group them using the open and closed parentheses or brackets. Take for an example 1 + 1 + 2 = 4. Using the associative property you can have either (1 + 1) + 2 = 4 or 1 + (1 + 2) = 4 clustered into place.

PLEASE HELP (15 POINTS)

Answers

Answer:

3rd one

Step-by-step explanation:

Answer:

Yh I agree the 3erd one

Step-by-step explanation:

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