Algebraic fraction equations
Solving question

Answer:

62.14 miles per hour

Answer: 100 km/h is equal to 62.14 mph

So, 100 km/h is equal to 62.14 miles per hour.

Answer:

62.15 mi/hr

Step-by-step explanation:

Given:

As both speed limits are given "per hour", we only need to convert 100 km to miles.  To do this, set up and solve a ratio for "miles to kilometers", where x is the number of miles to 100 km:

[tex]\implies \sf 1 : 1.609 = x : 100[/tex]

[tex]\implies \sf \dfrac{1}{1.609} = \dfrac{x}{100}[/tex]

[tex]\implies \sf \dfrac{1}{1.609} \cdot 100= x[/tex]

[tex]\implies \sf x= \dfrac{100}{1.609}[/tex]

[tex]\implies \sf x= 62.15040398...[/tex]

Therefore, 100 km/hr = 62.15 mi/hr (2 d.p.)

El limite de f(x) = (2 · x² + 3 · x - 9) / (x - 1.5) cuando x = 1.5 es 4.5.

En este problema tenemos el caso de una ecuación racional cuyo numerador y denominador son polinomios.

La discontinuidad de la ecuación racional es evitable si y solo si tanto el numerador y el denominador tienen la misma raíz. La existencia de la discontinuidad evitable se comprueba mediante procedimientos algebraicos. En consecuencia, realizamos la siguiente comprobación:

f(x) = (2 · x² + 3 · x - 9) / (x - 1.5)

f(x) = [(x - 1.5) · (x + 3)] / (x - 1.5)

f(x) = x + 3

La discontinuidad es evitable y la función existe para x = 1.5, entonces:

f(1.5) = 1.5 + 3

f(1.5) = 4.5

El limite de f(x) = (2 · x² + 3 · x - 9) / (x - 1.5) cuando x = 1.5 es 4.5.

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Answer:

80*

Step-by-step explanation:

That would be the correct answer because that would be the accurate measure for the interior angle shown.

Answer:

1196

Step-by-step explanation:

4,783 / 4 = 1195.75

If you round that up, you get 1196.

The total estimate for the repairs when Pam takes her truck in for basic service is $200.

Based on the information given, the costs are as follows:

Wheel alignment: $110 = $100

Transmission fluid flush: $75 = $80

Cabin air filter: $23 = $20

Therefore, the total estimate for the repairs will be:

= $100 + $80 + $20

= $200

Therefore, the total estimate for the repairs when Pam takes her truck in for basic service is $200.

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Answer:

1,020 if you meant 51,000

10,200 if you meant 510,000

Answer:

The 1st one

Step-by-step explanation:

My mom is a teacher lol

Answer:

x=20

Step-by-step explanation:

1-reoder the terms

2-Move constant to the right

3-dive both sides

just hit the image and you will get a representation on how to do it

The total money Avetis had left in his wallet after he bought 3 cakes is m - 3k

An equation is an expression that shows the relationship between two or more numbers and variables.

Avetis had m dollars in his wallet. He bought 3 cakes which cost k dollars each.

Hence:

Total cost of cakes = 3 * k = 3k

Total money he had left = m - 3k

The total money Avetis had left in his wallet after he bought 3 cakes is m - 3k

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The three lakes that Frank walked were Lakes A, B, and C. This may be deduced from the distances between the lakes as well as the total distance that Frank traveled, which was more than 35 miles but less than 40 miles.

You may determine which lakes Frank walked to by combining a total of three lakes from the set of lakes provided in the puzzle.

Assuming Frank hiked Lakes A, B, and C, the distance is;

= 6.51 + 8.74 + 21.25

= 36.5 miles

Lakes A, B, and D:

= 6.51 + 8.74 + 18.68

= 33.93 miles

Lakes A, B, and E:

= 6.51 + 8.74 + 15.33

= 30.58 miles

It can be observed that Lakes A, B, and C are the only ones that meet the requirement of having a distance of fewer than 40 miles but more than 35 miles.

The following questions should be asked next:

Lakes: a = 6.51

b = 8.74

c = 21.25

d = 18.68

e = 15.33

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There are 5 consecutive odd nos.

To find : no . of terms in a series of consecutive nos .

To proceed ,

Let the series start from 7 which is an odd numbers [we can start the series from any odd number and go up to next 8 numbers]

the odd consecutive series 7 , 9 , 11 , 13 , 15 .

There are 5 numbers in total .

The 1st number is 7 and the last number is 15 .

Therefore , difference between the 1st and the last number is 15 - 7 = 8 .

Hence , there are 5 consecutive odd nos .

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Answer:

Step-by-step explanation:

g² = 44

[tex]\sqrt{g^{2} }[/tex]= [tex]\sqrt{44}[/tex]

g = 6.63

Good estimate: 6.5

The ordered pairs of the solutions for this system of equations is a (-3,0) and the (3,6).

According to the statement

We have to find that the ordered pair of the solution of the equation.

So, For this purpose, we know that the

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.

From the given information:

in the given graph there are the some intersecting points and the due to this graph the value of the y is 6 and the value of the x is a -3.

Then

After analyzing the graph we have to find the value of the another x and y.

We see that the parabola and the line intersect at the points -3 and the 6 of the different values.

Then the ordered pair becomes the

(-3,0) and the (3,6).

So, The ordered pairs of the solutions for this system of equations is a (-3,0) and the (3,6).

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The union symbol between multiple intervals​ in the graph is (-7,-3)

From the graph,

I) Value of x does h(x)=-1

 x = -5

J) interval(s) of x such that h(x) > 0

x = (-∞,-7) U (-3,4]

K) interval(s) of x such that h(x) < 0

x = (-7,-3)

An abstract depiction of several points connected by lines is called a graph. The lines are referred to as edges, and each point is typically referred to as a vertex (more than one is referred to be vertices).

Graphs are a tool for connection modeling. They are employed to solve a variety of issues. A diagram that shows how a variable varies in relation to one or more other variables, such as a collection of points, lines, line segments, curves, or regions.

A grouping of all points whose coordinates meet a certain relation (such as a function).

Graphs and charts are useful visual aids because they make information accessible and quick to understand.

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Using LCM, we calculated that the two teams will share the same field on 27 September.

The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory.

The LCM of 5 and 3 is 5×3

= 15

So the two teams will share the same field after 15 days.

So, the both teams will share the same on 27 September.

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Answer:

x > 2

Step-by-step explanation:

when a line has an open circle it is greater/less than the number it is on, a closed circle means it could be than number, so greater than or equal to. This equation is an open circle (so it's not equal to) and is on the 2. So you know the equation is x < or > 2. To find if it's < or >, you look at what direction the line goes. This one is to the right. If you notice the > looks like an arrow pointing to the right, so you can know > is the right symbol to use. The full equation will be read, x is greater than 2. Hope this was helpful!

The option C is correct.

Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.

In the given statement is

A sailor entered a race and made a round trip of 213.709 miles. What is 213.709 rounded to the nearest hundredth?

and, Choose the number to complete the statement.

Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.

The option C is correct.

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Answer:

g(x)= 0 or the factor of 0 is mine

Answer:

Where's the triangle?

Step-by-step explanation:

Answer:

24 blue cars

Step-by-step explanation:

40/5 = 8

8 x 3 = 24

3) By the time Janet pays off the loan, the total interest she would have paid is D. $941.17.

4) By the time Jane pays off the loan, the total cost of her tip is B. $4,441.17.

5) The equation to find the new balance after each month's payment is D. New balance = Previous balance - Total monthly payment.

The monthly payments can be computed by first computing the total payments (future value of the loan). Then, the above figure is divided by the number of periods.

For instance, the total cost of Janet's trip is $4,441.17.  The payments are made for 24 months. Dividing $4,441.17 by 24 gives $941.17.

N (# of periods) = 24 months (2 x 12)

I/Y (Interest per year) = 24%

PV (Present Value) = $3,500

FV (Future Value) = $0

Results:

PMT = $185.05

Sum of all periodic payments = $4,441.17 ($3,500 + $941.17)

Total Interest = $941.17

Thus, Janet would have spent $4,441.17 to obtain a loan of $3,500 for her trip at 24% interest with 24 months for repayment.

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Answer:

Neither because the number 55 squared is in between 7. (7*7=49) and 8. (8*8=64). When cubed, it is in between 3. (3*3*3=27) and 4. (4*4*4=64) Therefore, the number 55 cannot be perfectly squared or cubed. (You can put it in your own words)

Answer:neither

Step-by-step explanation:

because 55 is neither

Step-by-step explanation:

(Q n R) = {6, 11}

P U (Q n R) = {6, 10, 11, 12, 13, 15}

Based on the amount that Velma wants to buy the house for and the fixed-rate mortgage offered by her bank, her monthly house payments will come to $919.75

The monthly house payments are constant so they are an annuity. The loan amount of $195,000 will be the present value of the annuity.

The monthly rate is:

= 3.9% / 12

= 3.9/12%

The number of periods is:
= 30 x 12

= 360 months

The monthly house payments is:

195,000 = Amount x (1 - (1 + 3.9/12%)³⁶⁰) / 3.9/12%

Amount = 195,000 / 212.01344311265715516703523151038

= $919.75

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Answer:

Yes, it is!

Step-by-step explanation:

How to know if the ordered pairs is a function? Just look at the x values! If any of the x values repeat more than 1 time, then it is not a function. In this relation, none of the x values repeat more than 1 time, so this is a function!

Here are the ordered pairs on a graph (it passes the vertical line test):