Abby knows that 1 mile is about 1.61 kilometers. She wants to write an equation she can use to convert
any given distance in miles (m) to kilometers (k).
How should Abby write her equation?

Answer:

5,609

55,209

56,209

562,009

Answer:

c = -a/4 + b + 11/4

Step-by-step explanation:

Solve for c:

a = -4 c + 4 b + 11

a = -4 c + 4 b + 11 is equivalent to -4 c + 4 b + 11 = a:

-4 c + 4 b + 11 = a

Subtract 4 b + 11 from both sides:

-4 c = a + (-4 b - 11)

Divide both sides by -4:

Answer:  c = -a/4 + b + 11/4

Answer:

4

Step-by-step explanation:

9x+6y=42

solution

Balancing Method :

subtract both sides by 6

9x-6y+6y=42-6=

9x=42-6=36

divide both by 6

9 ÷9=36÷9=4

Applying the vertical angles theorem and the linear pair theorem, the measure of angle PQV is calculated as: 53°.

The linear pair theorem states that when two angles form a linear pair, the sum of both angles of the linear pair would be equal to 180 degrees.

Two angles that are a vertical pair, have a measure that is equal to each other, based on the vertical angles theorem. That is, they are congruent angles.

m<RQS + m<PQT = 180 degrees [linear pair theorem]

Substitute

(2m + 4)° + (3m + 1)° = 180°

Solve of the value of m

2m + 4 + 3m + 1 = 180

Add like terms together

2m + 3m + 4 + 1 = 180

5m + 5 = 180

5m + 5 - 5 = 180 - 5

5m = 175

5m/5 = 175/5

m = 35

m<PQR = 3m + 1 [vertical angles theorem]

Plug in the value of m

m<PQR = 3(35) + 1

m<PQR = 105 + 1

m<PQR = 106°

m<PQV = 1/2(m<PQR)

m<PQV = 1/2(106)

m<PQV = 53°

Thus, applying the vertical angles theorem and the linear pair theorem, the measure of angle PQV is calculated as: 53°.

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Answer:

The answer is 74

Step-by-step explanation:

Answer:

Step-by-step explanation:

Combination of two inequalities above:

Or interval notation:

Answer:

Answer would be 22 km at southward direction.

Answer = 22km

Step-by-step explanation:

As it started from the point O.

* Goes 50 to East direction

* Goes 22 to North direction

* Goes 50 to West direction

* And the it travels back to the starting point when it turn to south direction. It traveled 22 km to southward direction.

> Total kilometers the train traveled is 144 kilometers.

I hope you get this right.

[tex]\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=5+x \end{cases}\implies C=2\pi (5+x)\implies C=10\pi +2\pi x[/tex]

The inequality of the number line is x > -1

A number line is a  vertical or horizontal line that has endpoints and it is used to represent numbers at a constant interval

From the number line in the question, we can see that:

From the question, we have

Point = -1

Assume the following

As a general rule, open circles implies that the number at that endpoint is not included part of the solution set.

This means that the inequality of the number line is x > -1

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Answer:

27.185

Step-by-step explanation:

Answer: Supplementary Angles

Step-by-step explanation:

Supplementary angles are a pair of angles whose sum is 180°. 45° and 135° add up to 180°. Therefore, the answer is supplementary angles.

Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation

17

-6

=11

The seconds that it will take the rock hit the ground at the base of the cliff is 5 seconds

Based on the information given, it should be noted that the expression given is:

y = -16t² + 4t +380

We have to divide through by 4. Therefore,

y = -4t² + t + 95

y = -4t² + 20t - 19t + 95

y = -4t(t - 5) - 19(t - 5)

t - 5 = 0

t = 0 + 5

t = 5

The time taken will be 5 seconds.

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Answer: w=[tex]\sqrt{47}[/tex], l=2[tex]\sqrt{47}[/tex]

Step-by-step explanation:

A=area of rectangle

A=l*w

A=2w*w

94=2w*w

w*w=47

w=[tex]\sqrt{47}[/tex]   ==> width of rectangle and side length of square

94=l*w

94=l*[tex]\sqrt{47}[/tex]

l=[tex]\frac{94}{\sqrt{47} }[/tex]

l=[tex]\frac{94\sqrt{47} }{47 }[/tex]

l=2[tex]\sqrt{47}[/tex]

B, C, and E are the products equivalent to 1/6

We have been given five different products and we have to find out which of them are equivalent to 1/6. So,

Here we observe that the product of B, C, and E after solving them is equivalent to 1/6 whereas, the product of A and D is 1/12 and -1/18 respectively.

Hence, We get that the product for the numbers

Which are Options B, C, and E equivalent to 1/6

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The decimal odd one out is: 123 hundredths and 4 thousandths.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values.

Decimal notation is the term used to describe the method of representing numbers in the decimal system.

Given: 1.234 is a decimal.123.4 hundredths, 1234 thousandths and 12.34 are all different forms of the given decimal. But 123 hundredths and 4 thousandths is not.

This is due to the fact that in the other selections, it is written in decimal format or is finished, but in the fourth or final option, it is purposefully not written in decimals. It is hence the outlier.

Hence, The decimal odd one out is: 123 hundredths and 4 thousandths.

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Answer: The answer is C

Step-by-step explanation: Bro I'm in 8th grade rn and I know the answer XD my IQ is 137 :)

Answer:b

Step-by-step explanation:becuase -2x times 6x = -12x

then your done with that part so then multiply 7x7 and that's 49 so its

-12x+49

Answer: 32, 46

Step-by-step explanation:

a=number 1. b=number 2

a=b-14

a+b+7=85

b-14+b+7=85

b+b-14+7=85

2b-7=85

2b=92

b=46

a=46-14

a=32

Answer:



Step-by-step explanation:

the equation to find this is

x+(x+14)+7=85

first minus the 7

X+(x+14)+7-7= 85-7

x+(x+14)=78

78÷2 = 39

42+36

The equation y = -6x + 5 when rewritten is f(x) = -6x + 5

The equation is given as

y = -6 + 5

Rewrite the above equation properly

So, we have

y = -6x + 5

Express y as a function

So, we have

f (x) = -6x + 5

Hence, the equation y = -6x + 5 when rewritten is f(x) = -6x + 5

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Answer:

I think the answer would be the letter b

Answer:

$866.13

Step-by-step explanation:

to get an average, you add up all the factors then divide them by how many there are. I added 500 12 times to 1250 12 times to 1150 3 times and 600 4 times.

aka (500*12)+(1250*12)+1150+1150+1150+600+600+600

then i divided by 31 because 12+12+3+4=31. giving the average $866.13.

Answer:

$5,298.48

Step-by-step explanation:

Given vertices:

As points A and B, and points C and D, have the same y-coordinates, AB is parallel to CD.

As there is a difference of 5 units between points A and B, and C and D, AB = CD.

As AB is parallel to CD and AB = CD ⇒ AD = BD and AD is parallel to BD.

Therefore, the quadrilateral ABCD is a parallelogram (see attachment).

To find the perimeter of ABCD, calculate the side lengths of AB and AD using the Distance Formula.

[tex]\boxed{\begin{minipage}{4.7 cm}\underline{Distance Formula}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two endpoints.\end{minipage}}[/tex]

[tex]\begin{aligned}AB & =\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\& =\sqrt{(10-5)^2+(-3-(-3))^2}\\& =\sqrt{(5)^2+(0)^2}\\& =\sqrt{25}\\& =5\:\:\sf units\end{aligned}[/tex]

[tex]\begin{aligned}AD & =\sqrt{(x_D-x_A)^2+(y_D-y_A)^2}\\& =\sqrt{(7-5)^2+(-11-(-3))^2}\\& =\sqrt{(2)^2+(-8)^2}\\& =\sqrt{4+64}\\& =\sqrt{68}\:\:\sf units\end{aligned}[/tex]

The perimeter of a two-dimensional shape is the distance all the way around the outside.

[tex]\begin{aligned}\textsf{Perimeter of $ABCD$} & = AB + CD + AD + BC\\& = 2\:AB + 2\:AD\\& = 2 \cdot 5+2 \cdot \sqrt{68}\\& = 10+2 \sqrt{68}\\& = 10+2\sqrt{4 \cdot 17}\\& = 10+2\sqrt{4}\sqrt{17}\\& = 10+2 \cdot2\sqrt{17}\\& = 10+4\sqrt{17}\:\:\sf units\end{aligned}[/tex]

As 1 unit = 1 meter, the perimeter of the fence is (10 + 4√17) m.

If fencing costs $200 per meter:

[tex]\begin{aligned}\sf \implies Cost \:of\:fencing& = 200(10 + 4 \sqrt{17})\\& = 2000+800 \sqrt{17}\\& = 5298.4845\\ & = \$5298.48\end{aligned}[/tex]

Therefore, it will cost Maya $5,298.48 to fence her yard.

ΔFHE = ΔKHE, as the ∠FHE = ∠KHE. When two triangles contain the same two sides and include the same Angle, the remaining sides, Angle, and area are likewise identical, which means they're congruent.

∠FHE ≅ ∠KHE is an Identical part.

L(FE) = L(KE), as two Congruent angles have equal sides

L( FH) = L(KH)

L(EH)=L(EH),  Common part in a figure.

Congruent angles are two or more angles that are exactly the same. As a result, the lengths of these angles are identical.

hence, ΔFHE = ΔKHE, as the ∠FHE = ∠KHE. When two triangles contain the same two sides and include the same Angle, the remaining sides, Angle, and area are likewise identical, which means they're congruent.

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The slope of the linear function shown in the graph is of 2, as:

A linear function is modeled according to the following rule:

y = mx + b

In which:

For this problem, we want to find the slope given two points of the function, which are (2,4).

For the calculation, we have that:

Hence:

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Answer: 0.725 seconds

Step-by-step explanation:

5 meters*14.5 seconds/100 meters=

5*14.5/100=

72.5/100=0.725 seconds

Answer:

Aiden got the question wrong because he added four squares instead of four columns. Aiden confused 0.4 with 0.04, using 4 ones instead of 4 tens.

Im sorry if this is confusing i hope it helped :)

Answer:

10.4 it is the correct answer please mark me as a brainlist

Using it's formula, it is found that Charles' human life value is of $26,951.39.

The human life value formula(HLV) is given by the following multiplication:

HLV = Annual Expenses x Number of Years x Interest Rate.

For this problem, we have that:

Hence, applying the formula, we have that Charles' human life value is found as follows:

HLV = 20912 x 24 x 0.0537

HLV = $26,951.39.

Charles' human life value is of $26,951.39.

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if in the next 6 days she rides an average of 8 miles per day, she will meet her goal.

We know that Mayerlin wants to ride her bicycle for 56 miles this week, and she already has ridden 8 miles, so the distance left is:

56mi - 8mi = 48mi

Now, to find the average distance that she needs to ride each day in order to meet her goal, we need to take the quotient between the distance left and the number days that she has left (6 days), then we will get:

D = 48mi/6 = 8mi

This means that if in the next 6 days she rides an average of 8 miles per day, she will meet her goal.

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The product of the functions f(x) and g(x), where the functions f(x) = [tex]x+2[/tex] and g(x) = [tex]-x^{2}[/tex] is

As per the given question statement, we are supposed to find and simplify the product of the functions f(x) and g(x), where the functions f(x) = [tex]x+2[/tex]and g(x) = [tex]-x^{2}[/tex].

Let's assume [tex]m(x)[/tex] be the product of the functions [tex]f(x)[/tex] and [tex]g(x)[/tex]

So, [tex]m(x) = f(x) * g(x)\\m(x)= (x+2)*(-x^{2} )\\m(x)=-x^{3} -2x^{2}[/tex]

Therefore the product of the functions f(x) and g(x), where the functions f(x) = [tex]x+2[/tex]and g(x) = [tex]-x^{2}[/tex] is [tex]m(x)=-x^{3} -2x^{2}[/tex]  

This question is a classic example of how to solve functions using different mathematical operations and using the concept of algebraic expressions.

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Answer:

5

Step-by-step explanation:

3x-7

=3×4-7

=12-7

=5..........