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Artist 52 [7]
3 years ago
13

Solve the equation using equivalent fractions. show your work.

Mathematics
1 answer:
Ronch [10]3 years ago
3 0

3 3/10

-

to find the answer to the equation, you need to find the least common denominator (LCD) of the three fractions:

15: 15, <u>30</u>, 45, 60, 75

10: 10, 20, <u>30</u>, 40, 50, 60

5: 5, 10, 15, 20, 25, <u>30</u>

<u />

in this problem, the LCD is 30.

then, multiply the numerator by the number you found the LCD with:

⁶⁄₁₅ = ¹²⁄₃₀, ³⁄₁₀ = ⁹⁄₃₀, and ⅗ = ¹⁸⁄₃₀.

¹²⁄₃₀ + ⁹⁄₃₀ + ¹⁸⁄₃₀ = 3 ⁹⁄₃₀ = 3 ³⁄₁₀ when simplified.

(i attached my scrap paper just in case)

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Consider the spiral given by c(t) = (e2t cos(2t), e2t sin(2t)). Show that the angle between c and c' is constant. c'(t) = _____L
Tcecarenko [31]

Answer:

angle is 45° which is constant

Step-by-step explanation:

We use formula for two vectors <u>a </u>and <u>b</u>    to calculate angle θ between them by formula

cos θ =  <u>a .</u> <u>b</u>  / magnitude of <u>a </u>  ×  magnitude of <u>b</u>

<u>Please see the attached file</u>

8 0
3 years ago
IS THIS CORRECT?! I HAVE A BACK SIDE TOO, IF ANYTHING IS WRONG PLS PLS LMK!!
Fudgin [204]

The only error you made is on problem 3. Everything else is correct. Nice work.

-------------------------------------------------------

Here is how to solve problem 3

Plug x = 1 into the equation and solve for y

-3x + y = 1

-3*1 + y = 1 ... replace x with 1

-3 + y = 1

y - 3 = 1

y - 3 + 3 = 1 + 3 .... add 3 to both sides

y = 4

<h3>The answer is 4</h3>

-------------------------------------------------------

Verifying the answer:

Plug (x,y) = (1,4) into the equation. Both sides should be the same number after simplifying both sides.

-3x + y = 1

-3*1 + 4 = 1 ..... replace x with 1; replace y with 4

-3 + 4 = 1

1 = 1

The answer is confirmed.

If you were to graph -3x + y = 1, which is equivalent to y = 3x+1, you'll find that the point (1,4) is on this line.

4 0
3 years ago
Which equation represents the function graphed above?
8_murik_8 [283]

Answer:

o.4 and 3.4

Step-by-step explanation:

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3 0
3 years ago
A small jar of salsa contains 12 1/2 ounces. A large jar of salsa contains 75 ounces How many small jars of salsa equal the same
poizon [28]

Answer:

6

Step-by-step explanation:

to find this divide big/small

75/12.5 = 6

so 6 small containers = 1 large one

7 0
3 years ago
Complete the table of inputs for the given function.
Alecsey [184]

Answer:

a. x = \frac{3}{8}

b. g(0) = 3

c. x = 1

d. g(3) = -21

Step-by-step explanation:

Given

g(x) = 3 - 8x

Solving (a): When g(x) = 0

Substitute 0 for g(x)

g(x) = 3 - 8x

0 = 3 - 8x

Solve for 8x

8x = 3

Solve for x

x = \frac{3}{8}

Solving (b): when x = 0

Substitute 0 for x

g(x) = 3 - 8x

g(0) = 3 - 8 * 0

g(0) = 3 - 0

g(0) = 3

Solving (c): When g(x) = -5

Substitute -5 for g(x)

g(x) = 3 - 8x

-5 = 3 - 8x

Solve for 8x

8x = 3 + 5

8x = 8

Solve for x

x = \frac{8}{8}

x = 1

Solving (d): When x = 3

Substitute 3 for x

g(x) = 3 - 8x

g(3) = 3 - 8 * 3

g(3) = 3 - 24

g(3) = -21

3 0
3 years ago
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