A 28° 0 128° B C Problem 4.1 Determine the measure of the missing angle.​

It is to be noted that Saturn is 1.29 *x 10⁹ km further from the sun than Venus.

Recall that we are given:
approximate distance from the sun for a few different planets.  

Hence, to detect how much farther (in km) from the sun Saturn is than Venus we initiate a series of subtractions.

Recall that
Planet             approximate distance from the sun ( km)

Mercury          5.8 x 10⁷

Venus             1.1 x 10⁸

Earth               1.5 x 10⁸

Saturn             1.4 x 10⁹

The distance of Saturn form the sun and Venus is given as

= Distance of Saturn from Sun - Distance of Venus from Sun

= 1.4 x 10⁹  - 1.1 * 10⁸  [Multiply 1.4 x 10 and we've got]

= 14 x 10⁸  - 1.1 * 10⁸  

= (14 - 1.1) * 10⁸ [ Collect like terms and consolidate]

= 12.9  x 10⁸  [Revert back to the power of 9 and we have]

=  1.29 x 10⁹ km

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Full Question:

The table shown below gives the approximate distance from the sun for a few different planets. How much farther (in km) from the sun is Saturn than Venus?  Express your answer in scientific notation.

Planet                                  Approximate distance from the Sun (in km)

Mercury                                        5.8 x 10⁷

Venus                                           1.1 x 10⁸

Earth                                             1.5 x 10⁸

Saturn                                           1.4 x 10⁹

It is found that Saturn is 1.29 x 10⁹ km further from the sun than Venus.

The number is written in the form  [tex]a \times 10^b[/tex] where we have  [tex]1 \leq a < 10[/tex]

We have been given that the approximate distance from the sun for a few different planets.  

Hence, to determine the farthest distance (in km) from the sun Saturn is than Venus, we get;

Planet             the approximate distance from the sun ( km)

Mercury          5.8 x 10⁷

Venus             1.1 x 10⁸

Earth               1.5 x 10⁸

Saturn             1.4 x 10⁹

The distance between Saturn from the sun and Venus can be calculated as;

= Distance of Saturn from Sun - Distance of Venus from Sun

= 1.4 x 10⁹  - 1.1 x 10⁸

= 14 x 10⁸  - 1.1 x 10⁸  

= (14 - 1.1) x 10⁸

= 12.9  x 10⁸

=  1.29 x 10⁹ km

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Recall that the ratio 9:8 can be written as follows:

therefore, when 64 is increased in the ratio 9:8 we get:

Answer: 72.

Answer:

72

Step-by-step explanation:

Since X : 64 = 9 : 8

Then we know X/64 = 9/8

Multiplying both sides by 64 cancels on the left64 × (X/64) = (9/8) × 64

X = (9/8) × 64Then solving for X X = 64 × (9/8)X = 72

Therefore 72 : 64 = 9 : 8

1 2/3 divided by 4/5

= 5/3 ÷ 4/5

make common denominators:

[tex]\frac{25}{15} /\frac{12}{15}[/tex]

invert one and multiply across:

[tex]\frac{25}{15} * \frac{15}{12}[/tex]

= 375/180

reduce:

25/12 or 2 1/12

The final term  after following the steps is  ( 42 + 6x ).

We are provided with some steps that we have to follow to reach the final answer or expression. The steps we have to follow to reach the final answer or expression are mentioned below;

Step 1: Add 7 to x

In the first steps we need to add 7 to the x. Mathematically this can be written as,

7 + x

Step 2: Multiply by 6

In the second step we need to multiply the entire term obtained in step 1 by 6 .  Mathematically this can be written as,

( 7 + x ) × 6

= 42 + 6x

Thus, the final term is  ( 42 + 6x ).

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Answer:

Explanation:

The standard form of an equation is expressed as y = mx+b

m is the slope

Given the equation x - y = 6

Rewrite in standard form;

-y = -x + 6

Multiply through by -1

-(-y) = -(-x) - 6

y = x - 6

Compare with the standard equation

mx = 1x

mx+b

m is the slope

Given

The number 27 is a natural number, whole number, rational, real and an integer .

The number 27

And this number is a natural number and thus it is a natural number and a rational number too.

This is also an integer .

Reason: Natural number : A natural number is one that naturally and frequently appears. It is a whole, non-negative number as a result. N, the collection of natural numbers, can be defined in one of two ways: N = {0, 1, 2, 3, ...}

whole number: the sum of all natural numbers plus zero. neither a decimal nor a fraction. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Integer. 0, the negative, or a counting number.

Rational number: A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0. Some of the examples of rational numbers include 1/3, 2/4, 1/5, 9/3, and so on.

Real number: Rational, irrational, entire, and natural numbers are all examples of real numbers. Negative, positive, and zero numbers are all examples of integers.

Integer : An integer, pronounced is a whole number that can be positive, negative, or zero and is not a fraction.

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Seven people sharing the rent would make the cost $120 per person.

When two quantities are inversely proportional, that is, when an increase in one causes a decrease in the other and vice versa, they are said to be inversely proportional.

The general equation for inverse variation is y = k/x, where k is the proportionality constant and x and y are two variables.

Given:

The price paid by Four friends on a ski trip to share the rent of a cabin = $210

The cost per person varies inversely with the number of persons.

Let the cost be C and the number of persons be n,

C ∝ 1/n

So, the equation becomes, k = Cn.

Putting the values in the equation we obtain the value of k,

k = 210×4 = 840

We have to find the number of people sharing the rent that would make the cost $120 per person.

Using the equation,

k = Cn

840 = 120 × n

n = 840/120 = 7

Therefore, seven people sharing the rent would make the cost $120 per person.

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Answer:

A goes to K. C goes to M. B goes to L.

Step-by-step explanation:

:)

The approximate value of the expression given will be equal to -6.3.

An approximation may be defined bringing the value of a certain entity which is almost similar, but not exactly equal to the correct value. The expression can be written as −12 + √32. The value of √32 can be written as 5.656. Since, after decimal 6 to the right of 5 is greater than 5 so to the nearest tenth, we can write as 5.66. Therefore, √32 = 5.66

For the required value of the expression we can write,

−12 + √32

Putting the value of √32 = 5.66 in the expression we get

-12 + √32 = -12 + 5.66

After solving we get

⇒ -12 + √32 = -6.34

To the nearest tenth it will be -6.3.

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Answer:

short piece = 20

Longer piece = 40

Step-by-step explanation:

Comment

Let the shorter piece be x

Then the longer piece is 2x

Givens

The rope is 60 meters long

Equation

x + 2x = 60 meters               Combine like terms

Solution

3x = 60                                  Divide by 3

3x/3=60/3

x = 20

Answer:

f(x) = 0

px^2 + qx - 4p = 0

abc-Formula: x = (-b ± √(b^2 - 4·a·c))/(2·a)

x = (-q ± √(q^2 - 4·p·(-4p)))/(2·p)

x = (-q ± √(q^2 + 4^2·p^2))/(2·p)

Because q^2 + 4^2·p^2 > 0 there are two roots.

Answer: your answer in in the screenshot

Step-by-step explanation:

Answer:

Your missing number is -87.5.

Step-by-step explanation:

You want to follow reverse order of operations to isolate your variable x

First, you plug in y= 700 to get::

700 = (24x)/7 +1000

Then subtract 1000 from both sides to get:

-300 = (24x)/7

Then multiply both sides by 7 to get:

-2100 = 24x

Then, divide by 24 to get:

-87.5 = x

Thus, your answer x= -87.5

Answer:

The answer is -18

Step-by-step explanation:

- [tex](-3)^{2}[/tex] + 3(-3)

-9 + -9 = -18

Answer:

Step-by-step explanation:

13

Based on the price of the cell phone in November and December, the price of the cell phone in March was $39

To find the price of the cell phone in March, you need to first find the price of the cell phone in November.

The price of the cell phone in November was $25 more than the price in December:

= 25 + 53

= $78

The price in November was double the price in March so the price in March was:

= 78 / 2

= $39

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An equation for the volume of the prism as a function of the height is Volume = h³ + 2h² - 15h.

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The determined value of the number of nickels and the number of dimes that Grayson has is

This is further explained below.

Generally, The following phrase represents Jayden's complete financial worth:

Nickels are worth $0.05 each.

The dime value is equal to $0.10

The total value is equal to the sum of the values of the nickels and dimes.

where;

[tex]1.20= (0.05*2 x) +(0.1*x)[/tex]

0.1 x+0.1 x=1.2

0.2 x=1.2

[tex]x=\frac{1.2}{0.2}[/tex]

x=6

y=2

In conclusion, the Total number of dimes=6

Total number of nickels=12

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Answer:

A = (1, 1)

B = (3, 2)

C = (2, 4)

Step-by-step explanation:

Vertices of the triangle:

Mapping rule for a 90° clockwise rotation about the origin:

(x, y) → (y, -x)

Therefore:

Mapping rule for a reflection in the x-axis:

(x, y) → (x, -y)

Therefore:

Therefore, the coordinates of the new triangle are:

Answer:7

Step-by-step explanation:

Answer:

its 7!!!!

Step-by-step explanation: i just got it right im in 8th grade also!

The Supplement postulate can be used to prove that the angles ∠CAB and ∠CAD are supplementary.

According to the Supplement Postulate, two angles are supplementary if they create a linear pair.

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Answer:

-21/2

Step-by-step explanation:

-5-2= - 7

7-4=3(+, - = -)

-7×3/2= - 21/2

By the analysis of the graph, the constant of proportionality is 2.

By analyzing the graph given we can infer that  If five rooms are reserved, he must provide ten towels.

So x is the number booked and y is the number of towels, Then

x is directly proportional to y,

The given graph is linear in nature, as we increase x, there will be a significant increase increase in y, The constant of proportionality(k) tells us how much y will change when x changes.

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

Now, 10= k *5

        [tex]k =\frac{10}{5} \\k =2[/tex]

Hence, the constant of proportionality k is 2.

and the equation of the given graph is y = 2x

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ok

MPG = 66.8

Answer:

$2.39, hope this helps,

Step-by-step explanation:

1.50+0.89=2.39

Answer: $2.39

Step-by-step explanation: 0.89 + 1.50

0.8 + 1.5 = 2.3

89 + 50 = 139

2.39