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atroni [7]
2 years ago
4

Emilia bought 4 pairs of socks and 3 DVDs. The DVDs were originally priced at $15 but were marked down by $7, and each pair of s

ocks costs $2. Which expression shows the total amount Emilia will have to pay before tax?
Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
6 0

Answer:

10$

Step-by-step explanation:

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Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $
STatiana [176]

Answer:

For this case, the first thing we must do is define variables:

x: number of hammers

y: number of wrenches

We write the system of inequations:

10x + 6y <= 120

x + y> = 14

Step-by-step explanation:

5 0
2 years ago
A group of 85 people were asked whether or not they prefer a bagel or a muffin for breakfast and whether or not they prefer milk
gladu [14]

Answer:

The answer(s) would be WY/WZ, or WYZ (If this is multiple choice)

Step-by-step explanation:

The reasoning is that in the "IRL Equation" the polls showed that orange juice was prefered over milk, and didn't matter whether they wanted a bagel or muffin. All that matters in this equation is that it is one sided (For the 1st poll that is) and now you are able to narrow down the possibilities of the answer(s).

5 0
2 years ago
Jessica was sitting in row 9, seat 3 at a soccer game when she discovered her ticket was for row 1, seat 1. Write a rule to desc
Westkost [7]

rule is to  shift 8 units left & , shift 2 units down , Correct option C)  T<-8,-2> (Jessica) ,

<u>Step-by-step explanation:</u>

Here we have , Jessica was sitting in row 9, seat 3 at a soccer game when she discovered her ticket was for row 1, seat 1. We need to Write a rule to describe the translation needed to put her in the proper seat. Let's do this:

Suppose the above problem in coordinate system where we have a point P(9,3) , And we need to write rule for translation of this point to Q(1,1) .

Let , (x,y)=(9,3) , Now shift 8 units left i.e.

⇒  (x,y)=(9,3)

⇒  (x-8,y)=(9-8,3)

⇒  (x-8,y)=(1,3)

Now , shift 2 units down i.e.

⇒  (x-8,y)=(1,3)

⇒  (x-8,y-2)=(1,3-2)

⇒  (x-8,y-2)=(1,1)

Therefore , rule is to  shift 8 units left & , shift 2 units down , Correct option C)  T<-8,-2> (Jessica) ,

4 0
2 years ago
A hand of 5-card draw poker is a simple random sample from the standard deck of 52 cards. How many 5 draw poker hands are there?
kupik [55]

Answer:

There are 2,598,960 5 draw poker hands are there.

There are 311,875,200 5-stud poker hands.

Step-by-step explanation:

When the order is not important, we use the combinations formula:

For example, eating an apple and an orange is the same as eating an orange and an apple.

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

When the order is important, we use the permutations formula:

For example, a 3 digit credit card password, 123 is different than 213.

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!)}

A hand of 5-card draw poker is a simple random sample from the standard deck of 52 cards. How many 5 draw poker hands are there?

Here, the ordering is not important, so we use the combinations formula.

C_{52,5} = \frac{52!}{5!47!} = 2598960

There are 2,598,960 5 draw poker hands are there.

In 5-card stud poker, the cards are dealt sequentially and the order of appearance is important. How many 5-stud poker hands are there?

The ordering is important, so we use the combinations formula.

P_{(52,5} = \frac{52!}{47!)} = 311875200

There are 311,875,200 5-stud poker hands.

7 0
2 years ago
∆ABC is similar to ∆DEF. The ratio of the perimeter of ∆ABC to the perimeter of ∆DEF is 1 : 10. The longest side of ∆DEF measure
nikdorinn [45]
\bf \qquad \qquad \textit{ratio relations}&#10;\\\\&#10;\begin{array}{ccccllll}&#10;&Sides&Area&Volume\\&#10;&-----&-----&-----\\&#10;\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}&#10;\end{array} \\\\&#10;-----------------------------\\\\&#10;\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\&#10;-------------------------------\\\\

\bf \cfrac{\triangle ABC}{\triangle DE F}\qquad \cfrac{longest\ side}{longest\ side}\quad \cfrac{1}{10}=\cfrac{40}{s}\implies s=\cfrac{10\cdot 40}{1}\\\\&#10;-------------------------------\\\\&#10;\cfrac{\triangle ABC}{\triangle DE F}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}\implies \cfrac{1}{10}=\cfrac{\sqrt{A_1}}{\sqrt{A_2}}\implies \cfrac{1}{10}=\sqrt{\cfrac{A_1}{A_2}}&#10;\\\\\\&#10;\left( \cfrac{1}{10} \right)^2=\cfrac{A_1}{A_2}\cfrac{1^2}{10^2}=\cfrac{A_1}{A_2}\implies \cfrac{1}{100}=\cfrac{A_1}{A_2}
8 0
2 years ago
Read 2 more answers
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