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ladessa [460]
3 years ago
14

PLZ HELP 50 POINTS AND BRAINLIEST

Mathematics
1 answer:
weeeeeb [17]3 years ago
4 0

Answer:

The area of the quartz layer section is <u>  0.27   </u>square meters.

Step-by-step explanation:

Given:

A geologist drew a scale drawing of a section of a quartz layer she saw in a cliff. The scale drawing of the layer is 2 cm high and 24 cm long. If the actual layer is 0.15m high.

Now, to find the area of the actual quartz layer section she saw.

So, according to the scale drawing of the layer height is 2 cm and length is 24 cm.

Now, we get the length of the actual layer by using cross multiplication method:

Let the actual length be x.

And, the actual layer height is 0.15m.

If, 2 is equivalent to 24.

<em>So, 0.15 is equivalent to </em>x.<em />

<em />\frac{2}{24}=\frac{0.15}{x}<em />

<em>By cross multiplying we get:</em>

<em />2x=3.6<em />

<em>Dividing both sides by 2 we get:</em>

x=1.8\ m.

Thus, the actual length is 1.8 m.

Now, to get the area of the actual quartz layer section by using formula:

Area=length\times height\\\\Area=1.8\times 0.15\\\\Area=0.27\ square\ meters.

Therefore, the area of the quartz layer section is 0.27 square meters.

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Simplify the expression below -3(10x + 4y) + 6(6x − 2y)
iren [92.7K]

Answer:

6x - 24y

Explanation:

Expand -3(10x + 4y): -30x - 12y

= \bold{-30x-12y+6\left(6x-2y\right)}

Simplify \bold{-30x-12y+6\left(6x-2y\right): \ 6x-24y}

= 6x - 24y

Mordancy.

3 0
3 years ago
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What is the mean of this data: 23, 37, 11, 58, 13, 45
nata0808 [166]

Step-by-step explanation:

Mean= Sumof all the numbers/ number of data

So,

23+37+11+58+13+45=187

Now...

187/6=31.166666667 Answer

hope it helps....

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3 years ago
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On weekends a movie ticket costs $10.50. form an inequality and solve it to find the maximum number of tickets kate can buy with
Greeley [361]

$10.50

10 Tickets would be $105.00

$105.00 - $10.50 = $94.50 so 9 Tickets would be $94.50

$105.00 + $94.50 = $199.50

$205.00 - $199.50 = $5.50 which isn't enough for another ticket.

10 Tickets + 9 Tickets = 19 Tickets.

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2 years ago
-4(9n + 9) = -12(4n - 6).
WITCHER [35]

Answer:

n = 9

Step-by-step explanation:

Step 1: Write equation

-4(9n + 9) = -12(4n - 6)

Step 2: Solve for <em>n</em>

<u>Distribute:</u> -36n - 36 = -48n + 72

<u>Add 48n to both sides:</u> 12n - 36 = 72

<u>Add 36 to both sides:</u> 12n = 108

<u>Divide both sides by 12:</u> n = 9

Step 3: Check

<em>Plug in n to verify if it's a solution.</em>

-4(9(9) + 9) = -12(4(9) - 6)

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-4(90) = -12(30)

-360 = -360

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3 years ago
A high school sewing club has 11 members. In how many different ways can they choose a president and vice president?
lorasvet [3.4K]
Since the order matters  Person A and B can be chosen as AB (A pres B vice pres) or BA (B president  A Vice president)

When the order matters we are talking about permutations. How many permutations of 11 taken 2 at a time are there.
It can be written like this 11nPr 2
It means start at 11 and multiply by the next lower number 
11 x 10 = 110 ways they can choose.
Extension of the concept:
If there had been three positions President, Vice President, and Treasurer
then it would be 11nPr3  or 11 x 10 x 9
Once again the answer to your problem is 110.
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