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Solnce55 [7]
3 years ago
9

1.) Last year, Diane biked k miles. This year, she biked

Mathematics
1 answer:
Naddika [18.5K]3 years ago
8 0

Answer:

1.) k + 516

2.) 2n - 4 = 3

3.) 57 - 2s

4.) 9h = 153

5.) c = 5n

Step-by-step explanation:

All of the problems given require you to set up an expression or equation.  Expressions have a variable and a coefficient or a constant.  Equations also have a variable, coefficient or constant but also include an equal sign.

1.) last year's miles = k, this year = 516, so total:  k + 516

2.) twice the difference of a number and 4 equals 3

twice a number = 2n; difference of this number and 4: 2n - 4; equals 3: =3

2n - 4 = 3

3.) 57 decreased: 57 -; twice her savings: 2s:  57 - 2s

4.) 153 is:  153 =; the product of height and 9:  9h, so 9h = 153

5.) notebooks 'n', were $5 each:  5n; total cost = c, so 5n = c

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Floyd caught a fish that weighed 2/3 of a pound. Kira caught a fish that weighed 7/8 of a pound. Which fish weighed more.
sashaice [31]
The 7/8 pound fish.

2/3lb = 0.6666 lb
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3 0
3 years ago
Miles sells 3 raffle tickets for $18 and 4 tickets for $24. The pattern for the price of the tickets is the same. How much money
serg [7]

Answer:

If Miles sells 6 tickets the money he will collect be <u>$36</u>.

Step-by-step explanation:

Given:

Miles sells 3 raffle tickets for $18 and 4 tickets for $24.

The pattern for the price of the tickets is the same.

Now, to find the money miles will collect if he sells 6 tickets.

Let the money Miles will collect be x.

The ticket if sells will be 6.

As, Miles sells 3 tickets for $18.

And the pattern for the price is same.

<em>So, 3 is equivalent to 18.</em>

<em>And, 6 is equivalent to </em>x.<em />

Now, to get the money by using cross multiplication method:

\frac{3}{18} =\frac{6}{x}

<em>By cross multiplying we get"</em>

<em />3x=108<em />

<em>Dividing both sides by 3 we get:</em>

x=36.

<u><em>The money MIles will collect = $36.</em></u>

Therefore,  if Miles sells 6 tickets the money he will collect is $36.

5 0
3 years ago
If x 2 = x + 1, find x 3 , giving your answer in the form ax + b.
GalinKa [24]

Answer:

{x}^{2}  = x + 1 \\ x =  {x}^{2}  - 1 \\  {x}^{3}  =  { ({x}^{2}  - 1)}^{3}  \\  = (x - 1) {}^{3} (x + 1) {}^{3}

4 0
2 years ago
What is the equation of the circle with center (5,-4) and containing the points (5,-2)
gtnhenbr [62]

Answer:

The equation of a circle is (x-5)^2+(y+4)^2=4 .

Step-by-step explanation:

-The equation of a circle is:

(x-h)^2+(y-k)^2=r^2 (where center is (h,k), the point (x_{1},y_{1}) and the radius known as r).

-Use the center (5,-4) and the point (5,-2) for the equation:

(5-5)^2+(-2+4)^2=r^2

-Solve the equation:

(5-5)^2+(-2+4)^2=r^2

0 + (-2)^2=r^2

4 = r^2

\sqrt{4} = \sqrt{r^2}

2 = r

-After you found the radius, use the center (5, -4)  and radius 2 to get the equation of a circle:

(x-5)^2+(y+4)^2=2^2

-Then, after you have the equation, the radius needs to simplified by the exponent:

(x-5)^2+(y+4)^2=4

3 0
3 years ago
Two sets of equatic expressions are shown below in various forms: line 1: x2 3x 2 (x 1)(x 2) (x 1.5)2 − 0.25 line 2: x2 5x 6 (x
Illusion [34]
The answer is Line 1 Only
this is the answer cause I just took the test
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