1.1. Which statement explains why the two systems of equations below have the
same solution?
A(6x + 8y = -10
2x - 5y = 12
B
8x + 3y = 2
12x + 16y = - 20
A. The first equation in B is the sum of the equations in A, while the other is obtained
by multiplying the second equation in A by 6.
B. The first equation in B is the sum of the equations in A, while the other is obtained
by multiplying the first equation in A by 2.
C. The equations in A are increased by 12 and -32 to get the equations in
D. The equations in A are multiplied by 2 and 4 to get the equations in B.

Answer:

The length of side x in the given triangle is 12 m.

Step-by-step explanation:

To calculate length x in the given triangle, use the Area Sine Rule.

\(\boxed{\begin{minipage}{7.6 cm}\underline{Area Sine Rule} \\\\$A=\dfrac{1}{2}ab \sin C$\\\\where:\\ \phantom{ww}$\bullet$ $C$ is the angle. \\ \phantom{ww}$\bullet$ $a$ and $b$ are the sides enclosing the angle. \\\end{minipage}}\)

The given values are:

Substitute the given values into the formula:

\(\implies 42=\dfrac{1}{2} \cdot 14 \cdot x\cdot \sin30^{\circ}\)

Multiply 1/2 · 14 = 7:

\(\implies 42=7x\sin30^{\circ}\)

Divide both sides of the equation by 7:

\(\implies 6=x\sin30^{\circ}\)

Calculate sin30°:

\(\implies 6=\dfrac{1}{2}x\)

Multiply both sides of the equation by 2:

\(\implies 12=x\)

Therefore, the length of side x in the given triangle is 12 m.

The distance between friend's house and home is 14.263 miles.

What is distance?

The distance between two points is the length of a straight line segment that links them. The distance of a point from a line is the length of the shortest line segment from the point to the line.

What is tan?

the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Given,

The distance he covered to west (base) = 17 miles

angle = 24°

tan 24°= perpendicular/base

tan 24° = perpendicular/17

p = 0.836/17

=14.263 miles.

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The value of \(n = 3m\) after solving the equation.

In mathematics, an equatiοn is a fοrmula that expresses the equality οf twο expressiοns, by cοnnecting them with the equals sign = The wοrd equatiοn and its cοgnates in οther languages may have subtly different meanings; fοr example, in French an équatiοn is defined as cοntaining οne οr mοre variables, while in English, any well-fοrmed fοrmula cοnsisting οf twο expressiοns related with an equals sign is an equatiοn.

Sοlving an equatiοn cοntaining variables cοnsists οf determining which values οf the variables make the equality true. The variables fοr which the equatiοn has tο be sοlved are alsο called unknοwns, and the values οf the unknοwns that satisfy the equality are called sοlutiοns οf the equatiοn. There are twο kinds οf equatiοns: identities and cοnditiοnal equatiοns. An identity is true fοr all values οf the variables. A cοnditiοnal equatiοn is οnly true fοr particular values οf the variables.

A equatiοn is a term in which twο quantity are equate with each οther by using variοus algebraic fοrmulas.

As per the questiοn

\(\frac{n}{m}+7=10\\ \frac{n}{m}=3\\ n=3m\)

Hence,  the value of n = 3m.

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The answer is B, which is to find the common denominator.

In solving a rational equation, the first step is usually to find a common denominator for all the fractions in the equation. This allows us to combine the fractions into a single fraction and simplify the equation.

To find the common denominator, we need to identify the factors of the denominators and determine the least common multiple (LCM) of these factors. Then, we multiply each fraction by the appropriate factor(s) to get the common denominator. For example, if we have the equation:

(3/x) + (4/2x) = 1/4

The denominators are x and 2x, which have factors of x and 2. The LCM of these factors is 2x, so we need to multiply the first fraction by 2 and the second fraction by 1 to get:

(6/2x) + (4/2x) = 1/4

Then we can combine the fractions and simplify the equation to get:

(10/2x) = 1/4

From here, we can continue to solve for x by cross multiplying and manipulating the equation.

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The leader of the campfire girls troop can appoint 3 out of 14 members to clean up the camp in 364 ways.

The number of members in the campfire girls troop

= 14

The number of members the leader of the campfire girls troop can appoint at a time = 3

The number of ways to appoint r members out of n members

= nCr = n!/(r)!×(n-r)!

Therefore, the number of ways in which the leader of the campfire girls troop can appoint 3 out of 14 members to clean up the camp

= 14C3 = 14!/(3)!×(14-3)! = 364 ways

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The correct statement is that F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).

Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.

This can be seen by looking at the function's minimum and maximum values and its points of intersection with the x- and y-axes. The minimum value of (1.9, negative 5.7) is to the left of the x-axis, indicating that the function is negative over the interval (-0.7, 0.76). The maximum value of (0, 2) is above the x-axis, indicating that the function is negative over the interval (2.5, ∞).

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The dollar gains depreciated relative to the pound when the price of pounds in dollars increases, for instance, from $1 = 1 pound to $2 = 1 pound.

Devaluation of a currency can take place in both absolute and relative terms. When the value of one currency declines in relation to the values of other currencies, this is referred to as a relative devaluation. For instance, the British pound sterling may be worth more today than it did yesterday in terms of US dollars.

A currency's value declines when compared to other currencies, which is known as currency depreciation. Political unrest, interest rate differences, weak economic fundamentals, and investor risk aversion are a few examples of the causes of currency devaluation.

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The answer of the given question is positive linear relationship.

If the value of the sample covariance between the two random variables x and y equals 14.67, then we can conclude that x and y have a positive linear relationship.

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If the value of the sample covariance between the two random variables x and y equals 14.67, we can conclude that x and y have a positive linear relationship or association

Covariance measures the direction and strength of the relationship between two variables. A positive covariance indicates that as the values of x increase, the values of y tend to increase as well, and vice versa. In other words, there is a tendency for the variables to move in the same direction.

However, the value of covariance alone does not provide information about the strength or the exact nature of the relationship. To determine the strength and statistical significance of the relationship, additional analysis, such as calculating the correlation coefficient or performing hypothesis tests, may be necessary.

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Theory is the correct answer, theory  represents the lowest degree of certainty.

What is certainty?
The epistemic attribute of beliefs that one cannot rationally reject is certainty, often known as epistemic certainty or objective certainty. Epistemic certainty is commonly defined as a belief being certain if and only if the person holding it could not be wrong in holding it. Other popular definitions of certainty refer to the beliefs' incontrovertibility or describe certainty as a characteristic of those beliefs with the strongest foundation. Although certainty and knowledge are closely related, modern philosophers frequently treat knowledge as having less conditions than certainty.

The rest of the options given in the questions which are conclusion, fact, hypothesis are evidence based and they provides comparatively higher degree of certainty than theory.

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Answer:

Step-by-step explanation:

16

Answer:

x = 52

Step-by-step explanation:

<I = < K b/c of corresponding angles thm

x + 66 + 62 = 180

x + 128 = 180

x = 52

Answer:

The height is 9 cm

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

72 = 1/2 ( 16) h

72 = 8h

Divide each side by 8

72/8 = 8h/8

9 = h

The height is 9 cm

Answer:

8 because it is a half base x height

Step-by-step explanation:

a half x 16= 8

Answer:

(-8 , -2)

Step-by-step explanation:

the coordinates of B’ are (-8 , 2)

then

Since B also is the image of B’ through the reflection across the x-axis

then the coordinates of B are (-8 , -2)

Answer:

(-8, -2)

Step-by-step explanation:

Answer:

red - 1/2 × b × h

=1/2 × 3 × 4

= 6

green - 1/2 × b × h

= 1/2 × 4 × 4

= 8

Answer:

0.54

Step-by-step explanation:

2.16/14 = 0.54

The simplest form of product is, 28c¹³.

⇒ -7c⁷ * (-4c⁶) = 28 c¹³

The given expression can be simplified as;

The given product is;

-7c⁷ * (-4c⁶)

We have to simplify the given product.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Now, The given expression can be simplified as;

The product is given as;

-7c⁷ * (-4c⁶)

We can simplify by the rule of exponent as;

-7c⁷ * (-4c⁶)

= 28 c⁷⁺⁶

= 28 c¹³

So, -7c⁷ * (-4c⁶) = 28 c¹³

Hence, The simplest form of product is find as 28c¹³.

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Answer:

90 candy bars will be expired!

Step-by-step explanation:

40/3=1200/x

x = 90

Can you explain the question in more detail and if you mark me brainilet i will answer >:D

90 btw

The domain of the function 13. is {-4≤x≥2} and the range of the function is {2≤x≥6} and The domain of the function 14. is {0.5≤x≥1.75} and the range of the function is {0.25≤x≥1.5}

The domain of the function means all the possible value that can be put in the function or the value of inputs

The range of the function means all the possible values that can be the result of various inputs or the value of output

On the graph the x coordinates represent the domain of the function that is possible inputs and y axis represent the range of the function that is all possible outcomes

The first problem (13.)

the  highest point's coordinates can be reed as (-4, 6) and the coordinates of lowest point are (0,2) . There is one more significant point , the second endpoint, whose coordinates are (2,3)

So, The domain of the function is {-4≤x≥2} and the range of the function is {2≤x≥6}

The Second problem (14.)

the  highest point's coordinates can be reed as (1.75, 1.5) and the coordinates of lowest point are (0.5, 0.25) .

So, The domain of the function is {0.5≤x≥1.75} and the range of the function is {0.25≤x≥1.5}

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Answer:

  16

Step-by-step explanation:

If we take the partial image to be 1/2 of a full image, then there are a total of

  5 1/2 + 2 + 6 + 2 1/2 = 16

acorn images on the graph. Each image represents 4 acorns, so a total of ...

  4 × 16 = 64

acorns are represented on the graph. Since these are ones the squirrels ate, the remaining 80 -64 = 16 acorns were left uneaten.

Answer:

\(=10\sqrt{10}+10\sqrt{2}-10\sqrt{5}-10\)

Step-by-step explanation:

  \((2\sqrt{5} -\sqrt{10})(5\sqrt{2}+\sqrt{10})\)

\(=2\sqrt{5}\cdot5\sqrt{2}+2\sqrt{5}\sqrt{10}-5\sqrt{2}\sqrt{10}-\sqrt{10}\sqrt{10}\)

\(=10\sqrt{10}+2\sqrt{50}-5\sqrt{20}-10\)

\(=10\sqrt{10}+2\sqrt{25 \cdot 2}-5\sqrt{4 \cdot5}-10\)

\(=10\sqrt{10}+2\sqrt{25}\sqrt{2}-5\sqrt{4}\sqrt{5}-10\)

\(=10\sqrt{10}+2\cdot5\sqrt{2}-5\cdot2\sqrt{5}-10\)

\(=10\sqrt{10}+10\sqrt{2}-10\sqrt{5}-10\)

If the mean of a normal distribution is negative then the median and mode must also be negative.

As given in the question,

Mean of the normal distribution is negative,

a. Standard deviation must be negative : False

b. Median and mode must also be negative : true

c. Variance must be negative : false

d. Mistake has been made in the computations , mean of a normal distribution cannot be negative : false

Therefore, for mean of a normal distribution to be negative then median and mode must be negative is the correct option.

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Answer:

your answer is 11

Step-by-step explanation:

An exponential has the base at the bottom

Answer:

27/4 or negative 3/4

Step-by-step explanation:

Answer:

10.

A = 12² - 2(6×5)

A = 144 - 2×30

A = 144 - 60

A = 84 in²

11.

A = π(12/2)² - (π3² + 3×6)

A = π36 - (π9 + 18)

A = π36 - (π3² + 18)

A = 113.04 - (28.26 + 18)

A = 66.8 yd²

12.

A = 9² - (10×2 + π3²)

A = 81 - (20 + 28.26)

A = 81 - 48.26

A = 32.7 m²

Answer:

Step-by-step explanation:

1. 23/50= 0.46

2. - 11/40= -0.275

3. 7/32= 0.21875

Answer: 1: Yes it is, unless there's an infinite number of digits after the '6'

that you're not showing us.|  2.: Is definitely a terminating decimal.|  3.    A terminating decimal.      

Step-by-step explanation:

1. 23/50= 0.46

2. - 11/40= -0.275

3. 7/32= 0.21875

Answer:

g is the acceleration due to gravity.

if right please mark me brainliest

The word "less than" switches the order around.

So instead of 8 - 7n = 6, our equation is 7n - 8 = 6.

Solving from here, we add 8 to both sides to get 7n = 14.

Now divide both sides by 7 to get n = 2.

Answer:

The number is 2

Step-by-step explanation:

The fastest way to solve this it to retrace the steps. So.....

(7)(x)-8=6

6+8=14

14/7=2

Thus, 2 is your answer.

Using the digits 7,8 and 9, the positive seven-digit integers can be made that are palindromes are 729.

When constructing a seven-digit palindrome out of the digits 7, 8, and 9, the first three digits must be the same as the last three digits in reverse order.

This means that each of the first three digits can be either a 7, 8, or 9. Therefore, the total number of combinations for the first three digits is 3 x 3 x 3 = 27.

Since the last three digits must match the first three, the total number of possible combinations of integers is 27 x 27 = 729.

Thus, the total number of positive seven-digit palindromes that can be created using the digits 7, 8 and 9 is 729.

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Answer:

Negative six times the sum of a number and 16.4is22.8

Step-by-step explanation:

D. -6(r+16.4)=22.8

The sentence is that a negative is six times the sum of a number and 16.4 is 22, then in equation form, it will be -6(r + 16.4) =22.8. Hence, option D is correct.

Equations are statements in mathematics containing the equals (=) sign flanked on either side by two algebraic expressions. The relationship between the expressions printed on the left and right sides is shown to be equal in this way.

There are many different kinds of equations, some of which include:

According to the question, the given statement for the equation is,

16.4 is equal to 22.8 when multiplied by a negative six.

Negative six times means -6 times to any number + 16.4.

Assume that number is r.

-6(r+16.4) = 22.8

Hence, from here it is concluded that option D is correct.

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