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Answer:

Factors: 5x, 3x²y⁵   Not Factor: 10x⁴y³

Step-by-step explanation:

5x is a factor because 15x²y⁶= 5x•3xy⁶

3x²y⁵ is a factor because 15x²y⁶ = 3x²y⁵•5y

10x⁴y³ isn't a factor because 15:10=1.5 isn't integer

Answer:

-8y +7x

Step-by-step explanation:

(–3y – x) – (5y – 8x)Distribute

-3y -x -5y +8x

Combine like terms

-3y-5y -x+8x

-8y +7x

Answer:

49

Step-by-step explanation:

7 times 4 equals 49.

Answer: Choice B) The conjecture is valid given the focus is on proportional equivalence of two sectors.

This is another way of saying "the two pie slices are the same percentage in area". By this, I mean the percentage of the entire cake. For instance, the shaded slice could be 20% of the entire circle area, for each circle.

It's probably easier to see this is the angle was 90 degrees (split the cake into 4 equal slices, only shade one slice). Or probably even easier if you cut the cake into two slices and only shade one slice (to form a central angle of 180 degrees). For the first example, the slice would be 25% of the whole area, while the second slice is 50%.

Choice C is close, but the two sectors are not the same area. This is because the bottom circle has a larger radius, and therefore its sector area is larger.

Answer:

3x - y = - 7

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 3 and (a, b) = (- 2, 1) , thus

y - 1 = 3(x + 2) ← distribute

y - 1 = 3x + 6 ( subtract 6 from both sides )

y  - 7 = 3x ( subtract y from both sides )

- 7 = 3x - y, that is

3x - y = - 7 ← in standard form

Answer:

The answer is "Option A"

Step-by-step explanation:

Given:

[tex]\to \frac{(a-5)+a}{2}=x.....(a)\\\\\to \frac{a+(a+9)}{2}=y.....(b)\\\\[/tex]

solve the above equation:

[tex]\to \bold{\frac{(a-5)+a}{2}=x}\\\\\to \frac{a-5+a}{2}=x\\\\\to \frac{2a-5}{2}=x\\\\\to \bold{\frac{a+(a+9)}{2}=y}\\\\\to \frac{a+a+9}{2}=y\\\\\to \frac{2a+9}{2}=y\\\\[/tex]

add both value (x and y):

[tex]\to \bold{x+y}\\\\\to \frac{2a-5}{2}+\frac{2a+9}{2}\\\\\to \frac{2a-5+2a+9}{2}\\\\\to \frac{4a+4}{2}\\\\\to \frac{2(2a+2)}{2}\\\\\to (2a+2)\\[/tex]

average of x and y:

[tex]\to \frac{x+y}{2}\\\\\therefore \bold{x+y= 2a+2}\\\\\to \frac{2(a+1)}{2}\\\\\to \boxed{(a+1)}\\[/tex]

Answer: The answer is B

Step-by-step explanation:

Answer:

Option B is correct

Step-by-step explanation:

cos (3pi/4) = -cos(pi - 3pi/4) = -cos(pi/4) = -sqrt(2)/2

=> Option B is correct

Answer:

It's (B)

Step-by-step explanation:

Answer: x + y = 16. 0.10 x + 0.25 y = 2.95. x + y = 16.

Step-by-step explanation:

You know that there are 16 coins in all, so x + y has to equal 16 (x being dimes and y being quarters) but you also know that whatever compilation of dimes and quarters is equal to $2.95.

Hope this helped you! Feel free to ask any further questions!

The system of equations which represents the number of dimes and quarters that Hamid has are x+y=16 and 0.10x+0.25y=2.95.

Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.

Suppose  the number of dimes be x and the number of quarters be y.

According to question there are 16 coins, so

x+y=16-----1

1 dime=$0.10

1 quarter=$0.25

According to question Hamid has $2,95 ,so

0.10x+0.25y=2.95.

Hence the system which represents the number of dimes and quarters that Hamid has are x+y=16 and 0.10x+0.25y=2.95.

Learn more about equation at https://brainly.com/question/2972832

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Answer:

(squareroot2^2) times 27 (1/2)

Step-by-step explanation:

Answer:3z^2/9

Step-by-step explanation:

Step-by-step explanation:

Plug in -2 whenever u see x

3(-2) -7= 5(-2-1)

-6-7= -10-1

-13 = -11

Therefore, x is not equal to -2.

Answer:

C.

Step-by-step explanation:

Slope = m = (y2 - y1)/(x2 - x1) = (5-(-1))/(4 - 2) = 6/2 = 3

Slope - point form:

y - y1 = m(x -x1)

y - 5 = 3(x - 4)

y - 5 = 3x - 12

- 3x + y = - 12 + 5

- 3x + y = - 7

Answer:

Option C is the correct option.

Step-by-step explanation:

A line passes through ( 2 , -1 ) and ( 4 , 5 )

The equation of line:

[tex] \frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1} [/tex]

Plug the values

[tex] \frac{ y - ( - 1)}{x - 2} = \frac{5 - ( - 1)}{4 - 2} [/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

[tex] \frac{y + 1}{x - 2} = \frac{5 + 1}{4 - 2} [/tex]

Add the numbers

[tex] \frac{y + 1}{x - 2} = \frac{6}{4 - 2} [/tex]

Subtract the numbers

[tex] \frac{y + 1}{x - 2} = \frac{6}{2} [/tex]

Reduce the numbers with 2

[tex] \frac{y + 1}{x - 2} = 3[/tex]

Apply cross product property

[tex]3x - 6 = y + 1[/tex]

Move variable to L.H.S and change its sign

Similarly, Move constant to R.H.S and change its sign

[tex]3x - y = 1 + 6[/tex]

Add the numbers

[tex]3x - y = 7[/tex]

[tex] - 3x + y = - 7[/tex]

Hope this helps...

Best regards!

Answer:

the value of n will be the range

Step-by-step explanation:

lets just give an example of (9,n) and you had to find the value its actually simple

9 is the domain

n is the range

a part of ordered pair function

got it?

Step-by-step explanation:

[tex]5(x - 2) = 5x - 7 \\ 5x - 10 = 5x - 7 \\ 0 = 3[/tex]no solutions

[tex]6x + 5 = 6x + 11 \\ 5 = 11[/tex]

no solutions

Work Shown:

908 rounds to 900. This is because 908 is closer to 900, than it is to 1000.

While 67 rounds to 100, for similar reasoning as above.

Multiplying those rounded values gives 900*100 = 90,000. This is the number 90 thousand.

Note that 9*1 = 9 and its followed by four zeros (two each from 900 and 100). This is a quick way to mentally multiply things like this.

Using a calculator, we see that 908*67 = 60,836 which is fairly off from what we estimated. This is to be expected as estimates only give us a rough idea of how big a number is.

Answer:

C

Step-by-step explanation:

< means exclusive, so open hole

≤ means inclusive, so closed dot

also, you can see that the values for y are going down, like 6, 4, 2. That's only in answer C.

Step-by-step explanation:

nm=16

m=16/n

m=16/8

m=2

Answer:

Let,O and P be the events of getting odd number and any other number except 4 respectively.

n(S)=6

O=(1,3,5) so, n(O)=3

P=(1,2,3,5,6) so, n(P)=5

So,probability of getting an odd number and any other number except 4 will be

n(O)/n(S) × n(P)/n(S)

=3/6 × 5/6

=5/12

May be it's the answer I guess. Hope you're clear with it:-)

The answer would be x =7/5 because you would need to multiply everything by two. Then you would add 4+3 and you would end up with 5x = 7. After that, you need to divided both answers by five

Please Mark brainliest

Answer:

The answer is x=7/5

Step-by-step explanation:

because you have to multiply everything by 2 the add 4+3 and you end up with 5x=7 then divide both sides by 5

Answer:

9x + 8.

Step-by-step explanation:

2(x - 3) + 7(x + 2)

= 2x - 6 + 7x + 14

= 2x + 7x - 6 + 14

= 9x + 8.

Hope this helps!

Answer: -1/1

Step-by-step explanation: The fraction, -1/1 or just -1, passes through the transactional point through the slope of the line, y=3x+5.

Answer:

m∠1 + m∠2 = 180°

Step-by-step explanation:

An interior angle and its exterior angle are supplementary (they add up to 180°).

I would really appreciate it if you would mark me brainliest!

Have a blessed day!

Answer:

c

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Let the number be x.

1/3 × 12 = 2/3 × x

Multiply.

12/3 = 2/3x

4 = 2/3x

Multiply both sides by 3/2.

4 × 3/2 = x

12/2 = x

x= 6

Answer:

1/3 of 12 = 2/3 of 6

Step-by-step explanation:

1/3 · 12 = 2/3 · x

12/3 = 2x/3

Multiply 3 on both sides.

12 = 2x

12 ÷ 2 = x

6 = x

Answer:

[tex]\sqrt{37}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

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

with (x₁, y₁ ) = A(- 2, 9) and (x₂, y₂ ) = B(4, 8)

d = [tex]\sqrt{(4+2)^2+(8-9)^1}[/tex]

   = [tex]\sqrt{6^2+(-1)^2}[/tex]

   = [tex]\sqrt{36+1}[/tex]

    = [tex]\sqrt{37}[/tex] ≈ 6.1 ( to 1 dec. place )

Answer:

36

Step-by-step explanation:

Let's call the # of boys and girls 5x and 3x respectively. We can write:

5x = 3x + 24

2x = 24

x = 12 so the # of girls = 12 * 3 = 36

Answer:

solution,

Let the number of girls be X

Number of boys be 'x+24'

Now,

[tex] \frac{x + 24}{x} = \frac{5}{3} \\ or \: 3(x + 24) = 5x \\ or \: 3x + 72 = 5x \\ or \: 3x - 5x = - 72 \\ or \: - 2x = - 72 \\ or \: x = \frac{ - 72}{ - 2} \\ x = 36[/tex]

hope this helps..

Good luck on your assignment..

Answer: After 210 seconds they with next flash at the same time.

Step-by-step explanation:

Given: Ardem has two lights.

One flashes every 15 seconds the other flashes every 42 seconds.

If they started flashing at the same time, then the number of seconds after that they with next flash at the same time = LCM (15, 42)   [LCM - Least common multiple]

Prime factorization of 15 = 3 x 5

Prime factorization of 42 = 2 x 3 x 7

Then, LCM (15, 42) = 2 x 3 x 5 x 7 = 210

i.e. After 210 seconds they with next flash at the same time.

Answer:

Correct option: C -> Y=2(x-4) has a x- intercept of 4

Step-by-step explanation:

To find the y-intercept of the equation y = 2x - 8, we just need to find the value of y when x = 0:

[tex]y = 2*0 - 8 = -8[/tex]

To find the x-intercept of the equation y = 2x - 8, we just need to find the value of x when y = 0:

[tex]0 = 2*x - 8[/tex]

[tex]2x = 8[/tex]

[tex]x = 4[/tex]

So the y-intercept is -8 and the x-intercept is 4.

Correct option: C -> Y=2(x-4) has a x- intercept of 4

Answer:

add the y coordinates of the two lines and divide by 2

Step-by-step explanation:

½[0+(-12)]

½[0-12]

½[-12)

y co-ordinate of the midpoint is -6