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Answer:

Reducing 420/630

420/630 = (?)

420/630 = (2 x 2 x 3 x 5 x 7)/(2 x 3 x 3 x 5 x 7) How i got this is explained at the bottom*

= 2/3

420/630 = 2/3

The simplest form of 420/630 is 2/3

2/3 is the lowest term of 420/630.

Prime FACTORING:
This should help for visuals for 420:
420

| \  

210   2

| \  

105   2

| \  

35   3

| \  

7   5

This should help for visuals for 630:

630

| \  

315   2

| \  

105   3

| \  

35   3

| \  

7   5

c , Natural selection is the process where species evolved over time through trying to adapt their environment.

Answer:

2

Step-by-step explanation:

Using the graph of tanx attached, we know that each period starts and restarts after each π. I've contrasted the periods of the functions in blue versus what we have between the two points in green.

From -3π/4 to 5π/4, we have.....

1/4 of a period

1 full period

3/4 of a period

1/4 + 1 + 3/4 = 2 periods

I hope this helps!

Answer:

P(4,4) / P(5/5) = 1/5

Step-by-step explanation:

Total possibility:

All the 5 books can be arranged in a rack with P(5,5)=5! ways

Favorable Possibility:

Math book is kept in a first place, it mean that it is fixed

So remaining 4 books and that can be arranged in P(4,4)=4! ways

Hence,

Probability= number of favorable cases / total number of possibilities

Probability = P(4,4) / P(5,5) = 4! / 5! = 1/5

Answer:

ummmm i think its B and D

Step-by-step explanation:

Answer:

remainder: -400

Explanation:

[tex]\sf f(x) = 3x^5 + 4x^4 + 5[/tex]

divided by x + 3

insert x = -3 in the function

[tex]\sf f(x) = 3(-3)^5 + 4(-3)^4 + 5[/tex]

[tex]\sf f(-3) = -400[/tex]

Answer:

48.81

Step-by-step explanation:

Since we are given a right triangle, and we are trying to find a angle, we use the

SOH-CAH- TOA.

In relation to the angle, we know a side opposite of the angle and the side adjacent to the angle.

We use Tangent, which states that

[tex] \tan(x) = \frac{o}{a} [/tex]

Here the opposite side is 8

The adjacent side is 7.

[tex] \tan(x) = \frac{8}{7} [/tex]

Take the Inverse Tangent,

[tex] \tan {}^{ - 1} (( \tan(x) ) = \tan {}^{ - 1} ( \frac{8}{7} ) [/tex]

[tex]x = \tan {}^{ - 1} ( \frac{8}{7} ) [/tex]

Which gives us 48.81

Answer:

∠ A ≈ 48.81°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{8}{7}[/tex] , then

∠ A = [tex]tan^{-1}[/tex] ( [tex]\frac{8}{7}[/tex] )  ≈ 48.81° ( to the nearest hundredth )

Answer:

x = 109°

Step-by-step explanation:

x = 64+45 = 109°

it looks simple, but that's the answer

Answer:

A) no; there is not a consistent ratio

Step-by-step explanation:

If the polygons are similar than the corresponding sides will have similar ratios.

The corresponding sides of the polygons are (AD and WM) and (DK and ML)

The ratio from AD to WM is 6/4 or 1.5 and the ratio to DK to ML is 8/6 or 1.33

The corresponding sides do not have a common ratio therefore the polygon is not similar

Answer:

3

Step-by-step explanation:11/2 = to 6/2 so the diffrence is 3 im geussing

Answer:

The solution is 215/2

Step-by-step explanation:

2×21,5÷2/5

= 2×43/2×5/2

= 43/2×5

= 215/2

= 107 1/2

Answer:

the answer for this question is 1

Answer:

[tex]=-\frac{82}{105}[/tex]

Step-by-step explanation:

[tex]-\frac{2}{3}+\left[\frac{3}{5}+\left(-\frac{5}{7}\right)\right][/tex]

[tex]\frac{3}{5}+\left(-\frac{5}{7}\right)[/tex]

[tex]=-\frac{4}{35}[/tex]

[tex]=-\frac{2}{3}-\frac{4}{35}[/tex]

[tex]=-\frac{82}{105}[/tex]

[tex]\huge\text{Hey there\bf!}[/tex]

[tex]\mathsf{-\dfrac{2}{3} + [\dfrac{3}{5} + -\dfrac{5}{7}]}[/tex]

[tex]\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} + - \dfrac{5}{7}}[/tex]

[tex]\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} - \dfrac{5}{7}}[/tex]

[tex]\mathtt{-\dfrac{2\times35}{3\times35} + \dfrac{3\times21}{5\times21} - \dfrac{5\times15}{7\times15}}[/tex]

[tex]\mathtt{= -\dfrac{70}{105} + \dfrac{63}{105}- \dfrac{75}{105}}[/tex]

[tex]\mathtt{= \dfrac{-70 + 63 - 75}{105 + 0 - 0}}[/tex]

[tex]\mathtt{= \dfrac{-7 - 75}{105 - 0}}[/tex]

[tex]\mathtt{= \dfrac{-82}{105}}[/tex]

[tex]\mathtt{= -\dfrac{82}{105}}[/tex]

[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathtt{\mathtt{= -\dfrac{82}{105}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

thirty-six, thirty six, 36%, thirty-six percent, thirty six percent, or 36 percent

Answer:

84 is the smallest number that is evenly divisible by 6, 4, 3, & 42 without a remainder.

84 ÷ 6 = 14

84 ÷ 4 = 21

84 ÷ 3 = 28

84 ÷ 42 = 2

in a group of 42 students 10 students study both, 13 study only biology and 7 study neither of the subject.

the probability of the students who studies art and biology.

A= students study art

B= students study biology

N=42

n (ANB)= 10

n (A'NB)= 13

n (A'NB')= 7

the number of students who study only art:

n (ANB')= N- n(ANB) - n(A'NB) - n(A'NB')

= 42.10 - 13 - 7

= 12

the number of students who study only art:

= 16

p (ANB)= n (ANB)/N

= 10/40

= 0.238

probability the student who studies art and biology is 0.238.

Answer:

For each draw, it is the number of that color, divided by the total number of marbles. For more than one draw, just multiply the fractions.Take a look at what I did. It should become clear.

Step-by-step explanation:

Answer:

120 <= 16+(w*d)

108<=d*w

Step-by-step explanation:

let w = weeks and d = dollars saved per week

Answer: B

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \huge\fbox\green{ANSWER} [/tex]

[tex] \huge \mathsf \orange{4 \: turning \: points}[/tex]

Hey there!

10(5 - n) - 1 = 29

10(5) + 10(-n) - 1 = 29

50 - 10n - 1 = 29

49 - 10n = 29

-10n + 49 = 29

ADD 49 to BOTH SIDES

-10n + 49 - 49 = 29 - 49

WORK IT OUT or SIMPLIFY IT!

NEW EQUATION: -10n = -20

DIVIDE -10 to BOTH SIDES

-10n/-10 = -20/-10

WORK IT OUT or SIMPLIFY IT AS WELL!

n = 2

Therefore, your answer is: n = 2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

n=2

Step-by-step explanation:

Step #1. Distribute the 10 to (5-n) which is 50-10n

Step #2. Simplify. 50-10n-1= -10n+50-1= -10n+49=29

Step #3. Subtract. -10n+49-49=29-49

Step #4. Simplify again. -10n = -20

Step #5. Divide. -10n/-10= -20/-10

Step #6. Simplify again. n=2

There you have it! N is equal to 2! please mark be as brainliest if you can.

Hope this helps!

Answer:

15

Step-by-step explanation:

from equation y= mx+c

we can equate m (slope/gradient) to 15

Check the picture below.

Answer:

Hope it helps you.

There can be several possibilities and causes

y>2x-1

y<2x-1

y≤2x-1

y≥2x-1

y=2x-1

Credit: Mister Brainly

There can be several possibilities and causes:

y>2x-1

Then line will be dashed and solution region to be shaded.

y<2x-1

Same like before

y≤2x-1

Solid line should be done and shading the solution region

y≥2x-1

Same like before

y=2x-1

A straight line and no shading

The solutions of the equations are the point of intersection of the equations

The solutions are located at points (-2,7) and (1,1)

The equations are given as:

y = –2x + 3 and y = x2 – x + 1

Next, we plot the graph of both equations

From the graph of the equations (see attachment), we have the solution to be:

(x,y) = (-2,7) and (1,1)

Hence, the solutions are located at points (-2,7) and (1,1)

Read more about system of equations at:

https://brainly.com/question/14323743

Answer:

D.

(–2, 7) and (1, 1)

Step-by-step explanation:

I took the algebra exam