Find the HCF of 308 and 420.

Answer:

Step-by-step explanation:

5x - 6y = 27 .......... Equation 1

7x + 6y = 9 ………… Equation 2

To solve using elimination add the second equation to the first one to eliminate y

That's

5x - 6y + 7x + 6y = 27 + 9

12x + 6y - 6y = 36

12x = 36

Divide both sides by 12

x = 3

Substitute it into any of the equations

Using equation 2

That's

7(3) + 6y = 9

21 + 6y = 9

6y = - 12

Divide both sides by 6

y = - 2

The solutions are

x = 3

y = - 2

Hope this helps you

Answer:

I'm not sure what you mean by opposite, but by all means the opposite of 0.93 would be -0.93 as it's the negative value of that decimal.

Step-by-step explanation:

Answer:

X= 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

[tex]6-2x=5x-9x+14\\6-2x=-4x+14\\6=-2x+14\\-8=-2x\\4=x[/tex]

Answer:

6.00$

Step-by-step explanation:

43.27 rounds down to 40.00.

15% of 40.00 is 6.00

Answer:

A. x-4y=8

Step-by-step explanation:

Slope = [tex]\frac{1}{4}[/tex]

y-intercept = -2

In y=mx+b

m = slope

b = y-intercept

Just replace m with 1/4 and b  with -2

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

Multiply through by 4 and re-arrange

[tex]4(y=\frac{1}{4} x -2)\\\\4y =x -8\\0 =-4y +x-8\\8 =-4y+x\\\\x -4y =8[/tex]

Answer:

p=.84

Step-by-step explanation:

p=8.94/3=3.82

p+2.98=3.82

p=.84

Answer:

247

Step-by-step explanation:

32-2 First then multiply that by 8 to get 240

Last add the remaining 7

Hope this helped

Answer:

simplified it is

16m-40=16m-40

Answer:

because entries in the table are frequency counts, the table is a frequency table. Entries in the total row and total column are called marginal frequencies or the marginal distribution

Answer:

A

Step-by-step explanation:

2 and 4 are on opposite sides of the transversal but both on the inside of the parallel lines. This makes them alternate interior angles, which are congruent.

Answer:

Option C. is the correct answer

Step-by-step explanation:

Choose any value of x and find the values of y. Then plot a graph using all that points. These will neither parallel nor perpendicular.

Answer:

He gave you 48 cards.

Step-by-step explanation:

150 * 32% (which is also 0.32) is equal to 48.

Divide the percentage by 100.

32 / 100 = 0.32.

You then multiply 0.32 by 150 to get the part.

0.32 x 150 = 48.

32% of 150 is 48.

Your answer is 48 cards.

We can use the pythagorean theorem to solve this

The pythagorean theorem = a^2 + b^2 = c^2, while

a = one leg

b = the second leg

c = the hypotenuse

In this problem,

a = 3

b = 15

c = ?

Let's plug our values into the pythagorean theorem

(3)^2 + (15)^2 = c^2

9 + 225 = c^2

Add together the left side

234 = c^2

Take the sqrt of both sides

sqrt(234) = c

The length of BC = sqrt(234)

Answer:

14 books

Step-by-step explanation:

Let b = number of books at the beginning

She sold 1/2 of the books

b - 1/2 b

This is how many she had left

Then she bought 7

b - 1/2 b + 7

this equals 14

b - 1/2 b + 7 = 14

Combine like terms

1/2 b + 7 = 14

Subtract 7 from each side

1/2 b = 14-7

1/2 b = 7

Multiply each side by 2

1/2 b * 2 = 7*2

b = 14

She started with 14 books

The expression for the number of boy cousins will be f – 4.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Marcella has 4 fewer male cousins than female cousins.

Let f represent the number of female cousins.

Then the expression for the number of boy cousins will be

⇒ f – 4

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

[tex] \boxed{ \sf{length \: of \: a \: rectangle = 60 \: yd}}[/tex]

[tex] \boxed{ \sf{width \: of \: a \: rectangle = 10 \: yd}}[/tex]

Step-by-step explanation:

Let the width of a rectangle be 'w'

Length of a rectangle ( l ) = 6w

Perimeter of a rectangle ( P ) = 140 yd

Finding the width of a rectangle

[tex] \boxed{ \sf{perimeter \: of \: rectangle= 2(length + breadth)}}[/tex]

[tex] \dashrightarrow{ \sf{140 = 2(6w + w)}}[/tex]

[tex] \dashrightarrow{ \sf{140 = 2 \times 7w}}[/tex]

[tex] \dashrightarrow{ \sf{140 = 14w}}[/tex]

[tex] \dashrightarrow{ \sf{14w = 140}}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{14w}{14} = \frac{140}{14}}} [/tex]

[tex] \dashrightarrow{ \sf{w = 10}}[/tex]

Width of a rectangle = 10 yd

Now, replacing / substituting the value of w in 6w in order to find the length of a rectangle

[tex] \dashrightarrow{ \sf{length = 6 \times x = 6 \times 10 = 60 \: yd}}[/tex]

Length of a rectangle = 60 yd

Hope I helped!

Best regards! :D

Answer:

C

Step-by-step explanation:

Because of the -5 and the exponent it can be either positive or negative.

Answer:

Step-by-step explanation:

Microbes are generally described as being microscopic in size. ... In comparison to animal cells, microbes tend to be smaller. They are about 1/10th the size of a typical human cell. Microbes are generally measured in the scale of one millionth of a meter, which is known as a micrometer. i hope this is helpful.

Answer:

23+5x

Step-by-step explanation:

Group like terms(Numbers and variables)-

5+3+7+8+x+2x+x+x

Add the like terms-

23+5x

Answer:

d.imaginary and unequal

Step-by-step explanation:

In an effort to address this problem, mathematicians "created" a new number, i, which was referred to as an "imaginary number", since it was not in the set of "Real Numbers". This new number was viewed with much skepticism. The imaginary number first appeared in print in the year 1545

The imaginary number "i" is the square root of negative one.

neg i

An imaginary number possesses the unique property that when squared, the result is negative.

Answer:

1/6

Step-by-step explanation:

Answer:

I believe the standard form is: ax2+bc+c=0

Vertex form is:f(x)=a(x-h)2+k

Factored form is: y=1/2(x-6)(x+2)

Step-by-step explanation:

The ax2= ax squared and the (x-h)2= (x-h) squared

Step by step: Here,

Formula to find area=l×b

=(2x+3)×(x+4)

=6x × 4x

=24x

Or,

2x+3 × x+4

2xsquare+7

Answer:

Yes, 9.52 is less than 90.13

Step-by-step explanation:

Because 90 is a whole number from the decimal 90.13, and 9 is the whole number from the decimal 9.52

Compare 90 and 9. 90 is greater; therefore, 9.52 is less than 90.13

Answer:

(-2, 1). (5,5) is 11.55

Hey there! I'm happy to help!

Let's look at the factors of 28.

1,28

2,14

4,7

We see that 4 and 7 add to make 11, but not -11. Well, we can just make both of them negative and then it will be -11 and their product will still be 28. Our numbers are -4 and -7.

Have a wonderful day! :D

Answer:

[tex]\huge\boxed{A=(9x^2-48x+64)ft^2}[/tex]

Step-by-step explanation:

The formula of an area of a square:

[tex]A=s^2[/tex]

[tex]s[/tex] - side of a square

We have [tex]s=(3x-8)ft[/tex]

Substitute:

[tex]A=(3x-8)^2[/tex]

METHOD 1:

Use  [tex](a-b)^2=a^2-2ab+b^2[/tex]

[tex]A=(3x)^2-2(3x)(8)+8^2=9x^2-48x+64[/tex]

METHOD 2:

Use FOIL: [tex](a+b)(c+d)=ac+ad+bc+bd[/tex]

[tex]A=(3x-8)(3x-8)=(3x)(3x)+(3x)(-8)+(-8)(3x)+(-8)(-8)\\\\=9x^2-24x-24x+64=9x^2-48x+64[/tex]

Answer:

9x^2-48x+64 ft^2

Step-by-step explanation:

(3x − 8) (3x − 8)

Multiply 3x by (3x − 8)

3x(3x − 8)

9x^2-24x

Multiply - 8 by (3x − 8)

- 8(3x − 8)=-24x+64

Combine 9x^2-24x and -24x+64

9x^2-48x+64 ft^2

Hope this helps! Plz award Brainliest : )

Answer:

the answer is ( p+2 ) (p+16)