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3 years ago

50 points. Solve the following problems.

Mathematics

2 answers:

agasfer [191]3 years ago

6 0

Answer:

x=10, y=12

Step-by-step explanation:

You have to use scale factor. 6 is 2/3 of 9. Using this, we can say that x is 2/3 of 15. So, x must be 10 (because 10 is 2/3 of 15). We can also say that y is 2/3 of 18. So, y has to be 12 (because 12 is 2/3 of 18).

jeyben [28]3 years ago

3 0

Answer:

x=10, y=12.

Step-by-step explanation:

You are making all sides of the triangle smaller by a scale factor of 2/3, because 9*2/3=6. For x, we can do 2/3*15, which equals 10. For y, we can do 2/3*18, equalling 12.

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Mrs. Wright bought some notebook paper for her class. She decided to keep 3/4 of the paper for her own use. How much paper did s

larisa [96]

So the total amount of paper is 4/4 right?
And she kept 3/4.
So we have to minus 3/4 from 4/4.
Because it has the same denominator we need not change it to similar one.So 4-3 is one.
So answer is 1/4

5 0

3 years ago

Don't really understand this math question yet

olga_2 [115]

Arranging the given distances from sea level on the number line, we have;

The error made by taking Egypt as being further from the sea level is assuming that the sea level is at the beginning (left) of the number line.

<h3>How can the number line be used to find the distance from the sea level?</h3>

The given elevation of the lowest points in the six countries are;

Country. Lowest point elevation (m)

China. →. -154

Egypt →. -133

Azerbaijan → -28

Serbia. →. 35

Israel. → -408

Laos. →. 70

Sorting the above countries from the country with the lowest point below sea level to the country with the highest point above sea level gives;

Israel → -408

China → -154

Egypt → -133

Azerbaijan → -28

Serbia. → 35

Laos. →. 70

On a number line, we have;

Israel < China < Egypt < Azerbaijan < Serbia < Laos

Relative to zero, which is the sea level, points -133 and -154 are located to the left of zero.

However, point -133 > -154, therefore, -154 < -133, the symbol < represents lesser (in this case 'lower') which indicates that China (point -154) is lower or further left from zero which is the sea level than Egypt (point -133).

The error is therefore mistaking the location of the sea level as being at the extreme left of the number line, rather than at the middle.

Learn more about the number line here:

brainly.com/question/4727909

#SPJ1

7 0

1 year ago

You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of t

rosijanka [135]

Answer:

$Height = 12cm$

$Radius = 6cm$

Step-by-step explanation:

Given

Represent volume with v, height with h and radius with r

$V = 432\pi$

Required

Determine the values of h and r that uses the least amount of material

Volume is calculated as:

$V = \pi r^2h\\$

Substitute 432π for V

$432\pi = \pi r^2h$

Divide through by π

$432 = r^2h$

Make h the subject:

$h = \frac{432}{r^2}$

Surface Area (A) of a cylinder is calculated as thus:

$A=2\pi rh+2\pi r^2$

Substitute $\frac{432}{r^2}$ for h in $A=2\pi rh+2\pi r^2$

$A=2\pi r(\frac{432}{r^2})+2\pi r^2$

$A=2\pi (\frac{432}{r})+2\pi r^2$

Factorize:

$A=2\pi (\frac{432}{r} + r^2)$

To minimize, we have to differentiate both sides and set $A' = 0$

$A'=2\pi (-\frac{432}{r^2} + 2r)$

Set $A' = 0$

$0=2\pi (-\frac{432}{r^2} + 2r)$

Divide through by $2\pi$

$0= -\frac{432}{r^2} + 2r$

$\frac{432}{r^2} = 2r$

Cross Multiply

$2r * r^2 = 432$

$2r^3 = 432$

Divide through by 2

$r^3 = 216$

Take cube roots of both sides

$r = \sqrt[3]{216}$

$r = 6$

Recall that:

$h = \frac{432}{r^2}$

$h = \frac{432}{6^2}$

$h = \frac{432}{36}$

$h = 12$

Hence, the dimension that requires the least amount of material is when

$Height = 12cm$

$Radius = 6cm$

3 0

3 years ago

Write an expression for the calculation subtract 12 doubled from 132

prisoha [69]

Step-by-step explanation:

Doubled of 132 which means 2 times 132 =

Subtract 12 doubled from 132

While write the expression whatever the expression after the word from that we have to write first

So Doubled of 132 - 12

- 12 -----> This is the final expression

If we simplify the above expression we will get

264 - 12

= 252

7 0

2 years ago

Read 2 more answers

How do you decide which operations to use when you are solving a problem? Give an example.

deff fn [24]

It really depends on what kind of problem. like if you are doing a word problem or whatever than you should read the question a couple times, underline key words, DECIDE which operation to use, refer to the question and see if it makes sense. Hope I helped :)

3 0

2 years ago