Find the sum and difference of the following fractions, reduce answer to lowest term if necessary

1. 3/5 + 2/5 - 1/5 =___

2. 5/15 - 3/15 + 7/15=____

3. 5 - 1 2/3=____

4.3 4/5 + 1 1/4=___

5. From the sum of 9/20 and 5 4/20, subtract 2 11/10=____

Hi there!  

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I believe your answer is:  

[tex]y = 7x - 48[/tex]

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Here’s why:  

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[tex]\boxed{\text{\underline{Point-Slope Form Is:}}}\\\\y - y_1 = m(x-x_1)\\\rule{150}{0.5}\\\\\boxed{\text{\underline{Key:}}}\\\\$\bullet \text{ }(x_1,y_1) - \text{Point Given}\\\\$\bullet \text { } m - \text{Slope Given}\\\rule{150}{0.5}\\\\\boxed{\text{\underline{Information Given:}}}\\\\$\bullet\text { } (7,1) - \text{Point}\\\\$\bullet\text{ } 7 - \text{Slope}\\\rule{150}{0.5}\\\\\text{Replace the variables with the appropriate value.}\\\\y-y_1=m(x-x_1)\\\\\text{\textbf{Becomes...}}\\\\[/tex]

[tex]\boxed{y-1=7(x-7)}\\\rule{150}{0.5}[/tex]

[tex]\boxed{\text{\underline{Converting into Slope-Intercept:}}}\\\\y-1=7(x-7)\\\rule{150}{0.5}\\\\\rightarrow y - 1 = 7x - 49\\\\\rightarrow y - 1 + 1 = 7x -49 + 1\\\\\rightarrow \boxed{y=7x -48}\\\rule{150}{0,5}[/tex]

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Hope this helps you. I apologize if it’s incorrect.  

Step-by-step explanation:

Area of a Triangle:

bh/2

8 ft is the given height

6 ft is the given base (or width)

(8)(6)/2

48/2

= 24 ft²

In addition to this, we will have to find the area of the semicircle.

Area of a Semicircle:

πr²/2

The question tells us to use 3.14 in place of π.

3.14r²/2

The diameter is 8 ft as it is given to us in the diagram, but in the formula we would have use the radius, and because the radius ia half of the diameter we will divide 8 by 2.

8/2

= 4

3.14(4)²/2

Solve...

3.14(16)/2

50.24/2

= 25.12 ft²

Now that we have found the area of both the triangle and the semicircle, we can add them together to find the area of the figure.

24 ft² + 25.12 ft²

= 49.12 ft²

Our final answer is A=49.12 ft² because it is already in the hundredths place.

3x+5=0

3x=0-5

3x=-5

Divide both sides by 3

-1.6666.......

Hope it helps.

As for mod 9, I don't understand.

Answer:

[tex]x=-\cfrac{5}{3}[/tex]

[tex]x=-1.666[/tex]

Step-by-step explanation:

[tex]3x+5=0[/tex]

[tex]3x+5-5=0-5[/tex]

[tex]3x=-5[/tex]

[tex]\cfrac{3x}{3}=\cfrac{-5}{3}[/tex]

[tex]x=-\cfrac{5}{3}[/tex]

16, 17.75, 19.5, 21.25, 23, 24.75

The required first five-term of the geometric progression is 16, 28, 49, 85.75, 150.06.

Given that,
A geometric sequence h starts at 16 and has a growth factor of 1.75 what are the first 5 terms is to be determined.

Geometric progression is sequence of series whose ratio with adjacent values remains same.

Here,
For the geometric progression,
a = 16
r = 1.75
The required sequence is given as,
1st = a = 16
2nd = ar = 16 (1.75) = 28
3rd = ar² = 16(1.75)² = 49
Similarly,
4th = 85.75
5th = 150.06

Thus, The required first five-term of the geometric progression is 16, 28, 49, 85.75, 150.06.

Learn more about geometric progression here: https://brainly.com/question/4853032

#SPJ5

Answer:

square roots fall under exponets

Step-by-step explanation:

Square roots are parts of exponents because a square root is just that number to the power of 0.5

Please give brainliest

Answer:

Step-by-step explanation:

50 is even.

If number is divisible by 2, then it is even

Answer:

$482.40

Step-by-step explanation:

Answer:

{-8, -7, 0, 6, 9}

Step-by-step explanation:

1. The range of a relation is the set of its possible output values, also known as the y-values of a function.

2. Let's find the y-coordinate of each point.

3. Now, let's order them (from least to greatest) to get the range.

Therefore, the range of this relation is {-8, -7, 0, 6, 9}.

see the attachment

hope it helps

Answer:

Step-by-step explanation:

5(2x – 3) = x – 15 + 9x

10x-15=10x-15

10x-10x=15-15

0=0

Answer:

7/20 is the scale factor

Step-by-step explanation:

We can see that Hexagon JKLMNO is bigger than Hexagon  PQRSTU. This means that the scale factor is less than one.

LK is similar to QR.

QR/LK

7/20 is the scale factor.

Answer:

7x

Step-by-step explanation:

when you add -1 aka -x to 8 8x it takes away one, so 7x

Answer:

The first and second one

Step-by-step explanation:

plug in x :)

Answer:

length of an arc = θ/360 × 2πr

θ=116°

r=2

π= 3.14

l= 116/360 ×2×3.14×2

l= 4.047= 4.05cm

Answer: 10

Step-by-step explanation:

using ratio;

[tex]\frac{4}{x} =\frac{2}{5}[/tex]

[tex]\frac{4}{2} = \frac{x}{5}[/tex]

2 × 5 = x

x = 10

please give me a brainliest answer

Answer:

67

Step-by-step explanation: because your x for y and x

Answer:

2.5%, 0.125, 1/4

Step-by-step explanation:

Answer:

[tex]y = 2\, (x - 9)^{2} - 1[/tex].

Step-by-step explanation:

If the vertex of a parabola is [tex](h,\, k)[/tex], there would exist a constant [tex]a[/tex] ([tex]a \ne 0[/tex]) such that the following would be an equation for this parabola:

[tex]y = a\, (x - h)^{2} + k[/tex].

The equation above is in the vertex form.

In this question, the vertex of this parabola is [tex](9,\, -1)[/tex]. (Such that [tex]h = 9[/tex] and [tex]k = -1[/tex].) Therefore, the equation of this parabola in the vertex form would be:

[tex]\text{$y = a\, (x - 9)^{2} + (-1)$ for some $a \ne 0$}[/tex].

It was also given that the point [tex](7,\, 7)[/tex] is on the parabola. In other words, if [tex]x = 7[/tex] and [tex]y = 7[/tex], the equation of this parabola ([tex]\text{$y = a\, (x - 9)^{2} + (-1)$}[/tex]) should be satisfied. In other words:

[tex]7= a\, (7 - 9)^{2} + (-1)[/tex].

Solve this equation for [tex]a[/tex].

[tex]a = 2[/tex].

Therefore, the equation of this parabola in vertex form would be[tex]y = 2\, (x - 9) + (-1)[/tex], which is equivalently [tex]y = 2\, (x - 9)^{2} - 1[/tex].

Answer:

-4(3x-5)

Step-by-step explanation:

you pull out a -4

Answer:

sending love to you that work is hard

Answer:

Assuming that the multiplicities of the five aforementioned                         roots ( {0, 5, 1, 3i, -3i} ) are each 1, the 6th zero can be any real number.  

Step-by-step explanation:

Because P(X) has real coefficients, and 3i is a zero, we conclude that -3i is also a zero of P(X).  Assuming that the multiplicities of the five aforementioned   roots ( {0, 5, 1, 3i, -3i} ) are each 1, the 6th zero can be any real number.  

Answer:

2.016

Step-by-step explanation:

In your equasion, I couldn't tell if you need to multipy 0.8^2 by 3.15 or are you asking something else? If you want to multiply, the answer is 2.016.

Answer:

Step-by-step explanation:

Add the -5.57 to both sides then divide it by 2 which is -0.91

Answer:

28. 120 degrees

29. 30 degrees

30. 56 degrees & 124 degrees

31. 72 degrees, 108 degrees, and 18 degrees

Step-by-step explanation:

We assign variable x for the answer we are looking for (28-29).

28.

Supplement means x + y = 180 degrees. We also know x = 2y. Substitution gives us 3y = 180 degrees, so y = 60 degrees and x = 120 degrees.

29.

Complement means x + y = 90 degrees. We are given 2x = y. Substitution brings us 3x = 90 degrees, x = 30 degrees.

30.

Supplement means x + y = 180 degrees. We are told that y = 2x + 12, so we substitute. This gives 3x + 12 = 180 degrees, x = 56 degrees. Substituting that back into the equation for y, we get 124 degrees.

31.

Supplement means x + y = 180 degrees. Complement means x + z = 90 degrees.  Using our given info, we know y = 6z. We can substitute that in to get x + 6z = 180. Subtracting our second and third equations, we get 5z = 90, z = 18 degrees.  Therefore, x = 72 degrees, y = 108 degrees.

Answer: 0.3

Step-by-step explanation:

i used a calculator ya hope this helps

Answer:

pretty sure it's 10 1/2

Answer:

I think the answer is D. 12 1/2

Step-by-step explanation:

If you add up the two thing it becomes: 15 cups of flour and 6 cups of milk. So if you divide 15 by 6, it's 2.5. Now all you have to do is 5 (since there are 5 cups of milk) times 2.5, and you get 12.5. And 12.5 is 12 1/2 in fraction form. Hence, the answer is D. 12 1/2.

Answer:

Step-by-step explanation:

There are 5 red marbles out of 8.

The probability of the first red:

Now we have 7 total marbles and 4 of them are red.

The probability of the second red:

The probability of two red is: