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3 years ago

How do i use Scientific notation on these problems? Because I don't know...

Mathematics

1 answer:

saveliy_v [14]3 years ago

8 0

Answer:

Simplify the problems first

Step-by-step explanation:

Before you can convert it to scientific notation, you should simplify it first.

#1 for example:

$(4 \times 10^5)^2\\$

Use PEMDAS to solve the equation:

$(4 \times 10^5)^2\\= 400000^2\\= 160000000000$

So, now we have a super big number. To write it in scientific notation, put a decimal place in the number before the zeroes start. It would be $1.6 \times 10^{11}$ since there are 11 places after the decimal.

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Is it true that 19 subtracted by 10 equals 8 correct if not what is the right answer

Nutka1998 [239]

Answer:

It is not true. 19 - 10 = 9.

:) Hope this helps

5 0

3 years ago

Y is directly related to X, and Yis 81 when X is 27. The constant of variation is

Arisa [49]

Answer:

Step-by-step explanation:

A direct variation is of the form

y = kx

We know x and y so we can find k

81 = k *27

Divide each side by 27

81/27 = 27k/27

3=k

The constant of variation is 3

5 0

3 years ago

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day 333 people enter the park, the

liberstina [14]

Answer:

188 children and 145 adults were admitted in the park.

Step-by-step explanation:

Given:

The admission fee at an amusement park is $1.50 for children and $4 for adults.

Total $862 collected on a certain day when 333 people enter the park.

Now, to find the children and adults admitted in the park.

Let the number of children admitted be $x.$

And the the number of adults admitted be $y.$

So, the total people enter the park:

$x+y=333\\\\x=333-y\ \ \ ...(1)$

Thus, the total amount collected of the admission fee:

$1.50(x)+4(y)=862\\\\$

Substituting the value of $x$ from equation (1):

$1.50(333-y)+4(y)=862\\\\499.50-1.50y+4y=862\\\\499.50+2.50y=862\\\\Subtracting\ both\ sides\ by\ 499.50\ we\ get:\\\\2.50y=362.50\\\\Dividing\ both\ sides\ by\ 2.50\ we\ get:\\\\y=145.$

Thus, the number of adults = 145.

Now, to get the number of children by substituting the value of $y$ in equation (1) we get:

$x=333-y\\\\x=333-145\\\\x=188.$

Hence, the number of children = 188.

Therefore, 188 children and 145 adults were admitted in the park.

4 0

3 years ago

In Exercise 4, find the surface area of the solid formed by the net.

Fittoniya [83]

Answer:

3. 150.72 in²

4. 535.2cm²

Step-by-step Explanation:

3. The solid formed by the net given in problem 3 is the net of a cylinder.

The cylinder bases are the 2 circles, while the curved surface of the cylinder is the rectangle.

The surface area = Area of the 2 circles + area of the rectangle

Take π as 3.14

radius of circle = ½ of 4 = 2 in

Area of the 2 circles = 2(πr²) = 2*3.14*2²

Area of the 2 circles = 25.12 in²

Area of the rectangle = L*W

width is given as 10 in.

Length (L) = the circumference or perimeter of the circle = πd = 3.14*4 = 12.56 in

Area of rectangle = L*W = 12.56*10 = 125.6 in²

Surface area of net = Area of the 2 circles + area of the rectangle

= 25.12 + 125.6 = 150.72 in²

4. Surface area of the net (S.A) = 2(area of triangle) + 3(area of rectangle)

= $2(0.5*b*h) + 3(l*w)$

Where,

b = 8 cm

h = $\sqrt{8^2 - 4^2} = \sqrt{48} = 6.9 cm} (Pythagorean theorem)w = 8 cm[tex]S.A = 2(0.5*8*6.9) + 3(20*8)$

$S.A = 2(27.6) + 3(160)$

$S.A = 55.2 + 480$

$S.A = 535.2 cm^2$

6 0

3 years ago

In two or more complete sentences, describe the steps necessary in completing the following sum. In your final answer, include t

tiny-mole [99]

Answer:

First, you would need to find a common denominator for the two, in this case it would be 6 which would make the equation 3/6 + 4/6=7/6. Then in order to make the answer a mixed number you would need to divide the numerator into the demonanator, write down the whole number answer (6 will go into 7 ONE time) then write down the "leftovers". The final answer would be 1 1/6

(i hope this helps! im not the best at explaining)

6 0

3 years ago