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snow_tiger [21]
3 years ago
5

Marla has $95.50 in her savings account. She deposits $5 every week. Her mother also deposits $20 into the account every time Ma

rla washes the car. Her savings account balance can be shown with the following expression:
20c + 5w + 95.50

Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points)

Part B: If Marla saves for 20 weeks and washes the car 5 times, how much will she have in her account? Show your work to receive full credit. (4 points)

Part C: If Marla’s mom deposited $10 after each car wash, would the coefficient, variable, or constant in the expression change? Why? (3 points)
Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0
Coefficient: 20 or 5
Variable:  c or w
Constant:  95.50

Pt B:  20(5) + 5(20) + 95.50
          100 + 100 + 95.50
          295.50

Pt C:The coefficient of c would change to 10
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find 2 numbers the exact answer is between, for example 3 x 567. how do you do this problem and what is the answer?
kramer
Here is an example I did of the problem hope it helps let me know if you need anything else~!

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6 0
2 years ago
Complete this shape so that it is symmetrical about the reflection line
Drupady [299]

A balanced and proportionate likeness observed in two sides of an item is characterized as symmetry. The shape can be completed as shown below.

<h3>What is symmetry?</h3>

A balanced and proportionate likeness observed in two sides of an item is characterized as symmetry. It signifies that one side is a mirror image of the other. The line of symmetry is the imaginary line or axis along which you can fold a figure to produce the symmetrical halves.

The shape can be completed as shown below, so that the complete shape is symmetrical about the given axis.

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8 0
2 years ago
What is Permutations and Combinations?
marissa [1.9K]

Answer:

See below

Step-by-step explanation:

Permutation is to select an object then arrange it and it cares about the orders while Combination is about only selecting an object without caring the orders.

Permutation can be expressed in math as:

\displaystyle{_n P _r = \dfrac{n!}{(n-r)!} \ \ \ (n \geq r) }

where n is a number of total object and r is a number of selected object to arrange. Hence. n cannot be less than r.

Now let's see an example of permutation, suppose we have letter A, B and C. I'd like to know how many ways these words can be arranged:

Since there are 3 letters total and 3 selected letters to arrange then:

\displaystyle{_3 P _3 = \dfrac{3!}{(3-3)!}}\\\\\displaystyle{_3 P _3 = \dfrac{3 \times 2 \times 1}{0!}}\\\\\displaystyle{_3 P _3 = \dfrac{6}{1}}\\\\\displaystyle{_3 P _3 = 6}

Therefore, there are 6 ways to arrange the letters - we can also demonstrate visually:

ABC - 1

ACB - 2

BAC - 3

BCA - 4

CAB - 5

CBA - 6

Notice that if you do visually, you'll get the same answer as the calculation of permutation!

----

Combination can be expressed mathematically as:

\displaystyle{_n C _r = \dfrac{n!}{(n-r)!r!} = \dfrac{_n P _r}{r!} \ \ \ (n \geq r) }

The difference between permutation and combination is that you only find how many ways you can select object in combination. Therefore, no arrange and doesn't care about order, just ways to select.

Suppose we have same 3 letters: A, B and C. I want to find how many ways I can select these 3 letters:

Since there are 3 letters total and 3 selected letters:

\displaystyle{_3 C _3 = \dfrac{3!}{(3-3)!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{0!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{3!}}\\\\\displaystyle{_3 C _3 = 1}

Hence, there is only one way to select 3 letters. This makes sense because if you have 3 letters then you can only select 3 letters only one way.

5 0
2 years ago
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damaskus [11]

Answer:

No, because the numbers in the given ratio must be multiplied by the same number.

Step-by-step explanation:

Essentially, ratio to be equal must be equal. E.g. 3:4 would be equal to 6:8 because you multiply both sides of the ratio by 2.

7 0
3 years ago
Read 2 more answers
When written in standard form, the quadratic equation, x2 - 2x - 35 = 0, is equivalent to y = (x - 1)2 - 36. What is the vertex
horrorfan [7]
 y = a(x - b)^2 + c     has vertex  (b , c)

so here the vertex is (1, -36)
6 0
3 years ago
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