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grandymaker [24]
3 years ago
10

X/2.4+39=239 show work

Mathematics
1 answer:
grin007 [14]3 years ago
3 0

Answer:  x = 480

Steps: x/2.4 + 39 = 239

Subtract 39 from both sides: x/2.4 + 39 - 39 = 239 - 39

Simplify: x/2.4 = 200

Multiply both sides by 2.4: x/2.4  ×  2.4 = 200 ×  2.4

Simplify: x = 480

Plz mark brainliest:)

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Write an exponential function y=ab^x whose graph passes through the points (2,18) and (4,162)
Alex Ar [27]

Answer:

see explanation

Step-by-step explanation:

Use the points to find a and b, that is

(2, 18)

18 = ab^{2} → (1)

(4, 162)

162 = ab^{4} → (2)

divide (2) by (1)

\frac{ab^4}{ab^2} = \frac{162}{18} = 9

b² = 9 ⇒ b = 3

substitute b = 3 into (1)

18 = 9a ⇒ a = 2

y = 2(3)^{x} ← exponential equation

7 0
3 years ago
A number is chosen at random from 1 to 50. Find the probability of selecting divisors of 48
son4ous [18]
48 divisors: 1, 2; 4; 5; 6; 8; 12; 16; 24; 48;
6 0
3 years ago
On average, Mercury is about 57 , 000 , 000 km from the sun, whereas Neptune is about 4.5 x 10^9 from the sun. What is the diffe
Svetlanka [38]

On average, Mercury is about 57,000 ,000 km from the sun, whereas Neptune is about 4.5 x 10^9 km from the sun. What is the difference between Mercury's and Neptune's distance from the sun?

<h3><em><u>Answer:</u></em></h3>

Difference between Mercury's and Neptune's distance from the sun is 4.443 \times 10^9 \text{ km }

<h3><em><u>Solution:</u></em></h3>

Given that,

Distance of mercury from sun = 57, 000, 000 km

Distance of Neptune from sun = 4.5 \times 10^9 \text{ km }

To find: Difference between Mercury's and Neptune's distance from the sun

<em><u>Let us convert distance of mercury from sun to scientific notation</u></em>

Scientific notation is used to represent a decimal number between 1 and 10 multiplied by ten, so you can write large numbers using less digits

<em><u>Steps to remember:</u></em>

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b

57, 000, 000 = 5.7 \times 10^7

Therefore,

Distance of mercury from sun = 5.7 \times 10^7 \text{ km }

<em><u>Calculating difference between Mercury's and Neptune's distance from the sun:</u></em>

difference = Distance of Neptune from sun - Distance of mercury from sun

\text{ difference } = (4.5 \times 10^9) - (5.7 \times 10^7)

Let us make both powers same

\text{ difference } = (4.5 \times 10^9) - (0.057 \times 10^9)

Taking 10 power 9 common we get,

\text{ difference } = 10^9(4.5-0.057)\\\\\text{ difference } = 10^9 \times (4.443)\\\\\text{ difference } = 4.443 \times 10^9

Thus difference between Mercury's and Neptune's distance from the sun is 4.443 \times 10^9 \text{ km }

3 0
4 years ago
A 16 foot ladder is leaning up against the wall. If the bottom of the latter is 6 feet from the base of the wall, how far up the
PSYCHO15rus [73]
For this question, you must use the Pythagorean theorem.
a^2 + b^2 = c^2

In this situation c=16 and a=6
First do 16^2. This equals 256
Second do 6^2. This equals 36

Now, subtract 36 from 256 and fond the square root.

Your answer should be 14.8
6 0
3 years ago
What is the value of the first term in the following arithmetic sequence?
Elden [556K]

Answer:

  -9

Step-by-step explanation:

The usual definition of the English word "first" applies.

5 0
4 years ago
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