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Aneli [31]
3 years ago
7

SOMEONE PLEASE HELP me a-e, step by step instructions I do not understand

Mathematics
1 answer:
VladimirAG [237]3 years ago
4 0
Since length • width = area you need to put the expression with “x” in (parenthesis) and put the number without a variable outside the parenthesis ex: d. would be 5(8-3x) because you would do what’s in the parenthesis first. In this case length is in the parentheses you would have 5(your answer) which means 5•your answer
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Kayden and Carter go to the movie theater and purchase refreshments for their friends.
r-ruslan [8.4K]

Answer:

3x + 6y = 64.50________equation 1

9x + 8y = 106.00_______equation 2

Price of a bag of popcorn is $3(300 cents) WHILE the price of one drink is $8.75(875 cents)

Step-by-step explanation:

The question here says that Kayden and Carter go to the movie theater and purchase refreshments for their friends.

Kayden spends a total of $64.50 on 3 bags of popcorn and 6 drinks.

Carter spends a total of $106.00 on 9 bags of popcorn and 8 drinks.

Now let's assume that the price of each bag of popcorn is X and the price of one drink as Y

It means that

3x + 6y = 64.50________equation 1

9x + 8y = 106.00_______equation 2

Make "x" the subject of the formula in equation 1

3x = 64.50 - 6y

X = (64.50 - 6y)/3

Apply the above in equation 2 and we have

9[ (64.50 - 6y)/3] + 8y = 106

9(21.5 - 2y) +8y = 106

193.5 - 18y + 8y = 106

193.5 - 10y = 106

Y= (193.5 - 106)/10

Y= $8.75 (price of one drink)

Now substitute Y = 8.75 in equation 1

3x + 6y = 64.50

3x + 6(8.75) = 64.50

3X = 64.50 - 52.5

X = 12/3

X = 3

8 0
3 years ago
Read 2 more answers
Question is down below
Bingel [31]

This is a great question!

To determine the probability with which two sweets are not the same, you would have to subtract the probability with which two sweets are the same from 1. That would only be possible if she chose 2 liquorice sweets, 5 mint sweets and 3 humburgs -

Probability( 2 Liquorice) = 12 / 20 * 11 / 19

As you can see, the first time you were to choose a Liquorice, there would be 12 out of the 20 sweets present. After taking that out however, there would be respectively 11 Liquorice out of 19 remaining. Apply the same concept to each of the other sweets -

Probability(2 Mint ) = 5 / 20 * 4 / 19,\\Probability( 2 Humbugs ) =  3/20 * 2/19

____

Calculate the probability of drawing 2 of each, add them together and subtract from one to determine the probability that two sweets will not be the same type of sweet!

1-\left(\frac{132}{380}+\frac{20}{380}+\frac{6}{380}\right) =\\\frac{111}{190}

<u><em>Thus, the probability should be 111 / 190</em></u>

5 0
3 years ago
What is y = x+ 3 on a graph look like?
balandron [24]

Answer:

(shown in picture)

Step-by-step explanation:

6 0
3 years ago
Compare square root of one hundred eighty and one hundred two eighths using &lt;, &gt;, or =.
olga2289 [7]

Converting the mixed number to a decimal, the correct comparison of the numbers is given as follows:

\sqrt{180} > \sqrt{100 \frac{2}{8}}

<h3>What is a mixed number?</h3>

A mixed number is represented by an integer part and a fractional part, as follows:

a b/c.

In which:

  • a is the integer part.
  • b/c is the fractional part.

In this problem, the numbers are given as follows:

\sqrt{180}, \sqrt{100 \frac{2}{8}}

The mixed number is:

100 and 2/8 = 100 + 0.25 = 100.25.

The square root is an increasing function, hence the higher the input, the higher the square root, as 180 > 100 the comparison is:

\sqrt{180} > \sqrt{100 \frac{2}{8}}

More can be learned about mixed numbers at brainly.com/question/1746829

#SPJ1

6 0
1 year ago
Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E'F'G'. Which statement is true about the d
jolli1 [7]

Answer:

Segment EH and segment E prime H prime both pass through the center of dilation (A)

The complete question related to this found on brainly (ID:16812154) is stated below:

Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E'F'G'. Which statement is true about the dilation?

E(0,5) F(1,1) G(-2,1) H(0,1)

a) segment EH and segment E prime H prime both pass through the center of dilation.

b)The slope of segment EF is the same as the slope of segment E prime H prime.

c) segment E prime G prime will overlap segment EG. segment

d) EH ≅ segment E prime H prime.

Step-by-step explanation:

∆EFG = Original image

∆EFG is dilated to give ∆E'F'G'

∆E'F'G' = New image

Scale factor = 3

Center of dilation = (0,1) = H(0,1)

Coordinates ∆EFG : E(0,5) F(1,1) G(-2,1)

To determine the statement that is true about the dilation from the options,

First we would make a diagram on the coordinates of ∆EFG and center of dilation (H).

Find attached the diagram.

Length GF = 3unit

Length G'F' = 3×scale factor = 9unit

Length EH = 4unit

Length E'H' = 4×scale factor = 12unit

Then we would move 3units to the left on same line from G to get the coordinate of G'(mark the point).

Also move 3units to the right on same line from F to get the coordinate of F'(mark the point).

Both of these give length of G'F' = 9unit

Now move 8units to the top from E to get the coordinate of E'(mark the point).

From this you get length E'H' = 12unit

Draw lines connecting the three points to get ∆E'F'G'

See diagram for better understanding

From the diagram, EH and E'H' both pass through (0,1). The other options are wrong.

Therefore, Segment EH and segment E prime H prime both pass through the center of dilation (A)

5 0
3 years ago
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