The Pythagoreans changed mathematics from a science into a set of problem-solving techniques. True or false

Answer:

2546

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An expression that is equivalent to 3(5x-4) is: D. 15x-12.

The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a given numerical value or factor, the same output would be produced as when each addend is multiplied respectively by the numerical value or factor, and the products are added together.

Mathematically, the distributive property of multiplication is given by this expression:

a(b + c) = ab + ac.

By applying the distributive property of multiplication to the given expression, we have:

3(5x - 4) = 3(5x) - 3(4)

3(5x - 4) = 15x - 12

Therefore, the correct answer option is: D.) 15x - 12.

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Complete Question:

Which expression is equivalent to 3(5x-4)

A 8x-4

B 8x-1

C 15x-4

D 15x-12

Answer:

The answer is B

Step-by-step explanation:

Primary sources are used most by historians but they also consider the opinions. Historians must think of the political views, and feelings. This is called subjective data. It can help identify possible bias within the facts or beliefs.

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Answer:

7/2

Step-by-step explanation:

7/2= 3.5 so it is terminating

Answer:

3 divided by (1+2)=1

Step-by-step explanation:

bc u do parthensis first so 1+2 is 3 therfore if u divide 3 by 3 gives u one

Postcard C is the same shape as the painting because they are in the same proportion.

It is defined as the law to prove that the two figures have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

It is given that:

A museum sells postcards of famous paintings.

Applying similarity law that states: The ratio of the corresponding sides is in the same proportions.

In poster A:

5/30.25 = 5/25.25

1/6.05 = 1/5.05

In the poster B:

8/30.25 = 4/25.25

1/3.78 = 1/6.312

In poster C:

6.05/30.25 = 5.05/25.25

1/5 = 1/5 (they are in the same proportion)

Thus, postcard C is the same shape as the painting because they are in the same proportion.

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Answer:

1. -9

2. -6

3. -4

4. -14

Step-by-step explanation:

if you add a negative and a negative it is still a negative. when you have a number minus a negative, it can be positive or a negative. you change the -(- to a + this is what I call chop slash. then you do -8 + 2 = -6 because you are at -8 and then go to the right of the number line 2 spaces. numbers 1 and 4 have the same rules and numbers 2 and 3 have the same rules.

Answer:

an acute angle

Step-by-step explanation:

acute angles measure 0-89 degrees

Answer:

acute angle

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Answer:

2.9 units

Step-by-step explanation:

Length of the radius = ½ of the distance between the two endpoints

Distance between (-2, 4) and (3, 1) using the formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] (-2, 4) = (x_1, y_1) [/tex]

[tex] (3, 1) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(3 - (-2))^2 + (1 - 4)^2} [/tex]

[tex] d = \sqrt{(5)^2 + (-3)^2} [/tex]

[tex] d = \sqrt{25 + 9} = \sqrt{34} [/tex]

[tex] d = 5.8 [/tex]

Length of radius = ½ of 5.8 = 2.9 units.

Answer:

11/5

Step-by-step explanation:

2x+12+4-12x+6

-10x+22

x=22/10

x= 11/5

22/5+12+4=123/5-6

102/5=123/5-30/5

102/5=97/5

102/5-97/5

5/5

1

Answer:

-50 feet

Step-by-step explanation:

The trout is swimming 30 ft below sea level,if it were above sea level it would be positive but since its below it is negative. It then swims 20 feet lower so it would be -50 as a short cut you can use in problems like this one is to ignore the sign's and add it regularly then add the sign after the equation is done.

Answer:

-50 is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

First of all, your question is very clear. Excluding 0 is a needed restriction.

f(1) = 3*1 + 1 = 3 + 1 = 4

f(2) =3*2 + 1 = 6 + 1 = 7

f(3) = 3*3 + 1 = 9 + 1 = 10

f(4) = 4*3 + 1 = 12 + 1 = 13

4,7,10,13

Notice that you are just adding 3 to the previous term.

Answer:

False

Step-by-step explanation:

Area is the number of square units it tales to fill the inside of a polygon.

Step-by-step explanation:

0.40 ___0.04

We are given with two decimal numbers. Compare the numbers and complete the blank by < or > or =

To compare the decimals , compare each digit from left to right

0 is equal to 0

4 is greater than 0

so we can say 0.40 is greater than 0.04

0.40 > 0.04

Both decimal numbers are not equal

Answer:

0.40 > 0.04

Answer:

50 Years

Step-by-step explanation:

175.5 million (The difference) divided by 3.51 million equals 50.

Answer:

Length = 6.1 inches and Width = 3.4 inches

Step-by-step explanation:

We are told that the diagonal measures 7 inches.

We are also told that the length of the screen is 2.7 inches more than the width.

Let the length be L and width be W.

Thus, L = W + 2.7

Now, since length = W + 2.7 and width = W and diagonal = 7 inches, we can use pythagoras theorem to solve.

Thus;

W² + (W + 2.7)² = 7²

W² + W² + 5.4W + 7.29 = 49

2W² + 5.4W - 41.71 = 0

Using quadratic formula, we have;

W = [-5.4 ± √(5.4² - 4(2 × -41.71))]/(2 × 2)

W = [-5.4 ± √(362.84)]/4

W = -5.4/4 ± 19.05/4

W = (-1.35 + 4.7625) or (-1.35 - 4.7625)

W ≈ 3.4 inches or -6.1

W cannot be negative, thus, W = 3.4 inches

From earlier, we saw that L = W + 2.7

Thus,L = 3.4 + 2.7 = 6.1 inches

So, Length = 6.1 inches and Width = 3.4 inches

Answer:  The numbers are 172  and 43

Step-by-step explanation:

We will represent the numbers by x and y  

where x is the positive number and y is the other number.

So x the positive number is 4 times the other number which could be represented by the equation x = 4y  

And the difference between x and y is 129  which could also be represented by the equation  x - y = 129  

Now use both equations to solve for y and x  

x = 4y  

x-y = 129   Substitute the value for x into the second equation

4y - y = 129

 3y = 129  

   y =  43  so we know that y is 43  and  x is 4 times it

x = 4(43)

x= 172  

So the numbers are 172 and 43 .

Check:

172 - 43 = 129

   129 = 129

Answer:

Increase, Decrease

Step-by-step explanation:

Answer:

1

Step-by-step explanation:2 and 6 are the first ones in each set so 6-2 is 4.4 and 1 are the second ones in each set 1-4 is -3 4+-3 is 1.

Answer: B

Step-by-step explanation:

To find r, we need to use the formula to find slope. The formula is [tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]. Since we are given the coordinates and slope, we can plug them into the formula and solve for r.

[tex]\frac{2}{3} =\frac{3-5 }{r-4}[/tex]               [multiply both sides by r-4]

[tex]\frac{2r-8}{3}=3-5[/tex]        [subtract]

[tex]\frac{2r-8}{3}=-2[/tex]           [multiply both sides by 3]

[tex]2r-8=-6[/tex]        [add both sides by 8]

[tex]2r=2[/tex]                 [divide both sides by 2]

[tex]r=1[/tex]

Now that we found that r=1, we know that the answer is B.

Answer:

0.45 is more

Step-by-step explanation:

:)

The square root of the number is √0.45 = 0.670 is greater than 0.229

Given data ,

Let the first number be represented as p

where the value of p = 0.45

Let the second number be represented as q

where q = 0.229

Now , the square root of the number is expressed as

A = √p

The radical form of a number refers to expressing a number using a radical symbol (√) to represent a root.

It is used to express the roots present in the number.

So , A = √0.45

On simplifying , we get

A = 0.670

And , the value of A > q

So , 0.670 > 0.229

Hence , the square root is A = √0.45 = 0.670

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Answer:

$98.55

Step-by-step explanation:

Answer:

he has to pay 108.55

Step-by-step explanation:

Answer:

m = 0 or slope = 0

Step-by-step explanation:

Answer:

1.8

Step-by-step explanation:

3 * 0.6 = 1.8

Step-by-step explanation:

(hog)(x) = h(g(x))

= h(3x + 7)

h(x) = x + 8

h(3x + 7) = 3x + 7 + 8

h(3x + 7) = 3x + 15

(hog)(x) = 3x + 15

Answer:

exact form:

[tex]x=\frac{11}{5}[/tex]

Decimal:

[tex]x=2.2[/tex]

Mixed Number Form:

[tex]x=2\frac{1}{5}[/tex]

Step-by-step explanation:

simplify [tex]2(x + 6) + 4[/tex]

[tex]2(x + 6) + 4 = 12x - 6[/tex]

Move all terms containing  x  to the left side of the equation.

[tex]-10x+1=-6[/tex]

Move all terms not containing  x  to the right side of the equation.

[tex]-10x=-22[/tex]

Divide each term by  − 10  and simplify.

[tex]x=\frac{11}{5}[/tex]

the result can be shown in multiple forms

Exact Form: [tex]x=\frac{11}{5}[/tex]

Decimal Form: [tex]x=2.2[/tex]

and Mixed Number Form: [tex]x=2\frac{1}{5}[/tex]

Answer:

you can make 6 omelets

Step-by-step explanation:

18/3 = 6

n+8<13

n=4

If n=4, then n+8 is equal to 4+8.

4+8=12

12<13

True

hope it helps!

Answer:

12 < 13

Step-by-step explanation:

n = 4

n + 8 < 13

4 + 8 < 13

12 < 13