1. Solve: 67 x 109
670,000
67,000
6,700
6,700,000

Answer:

144in

Step-by-step explanation:

METHOD 1:

18 - 36

x - 48

36x = 18 * 48

36x = 864

x = 24

ALTERNATIVE METHOD:

18:36 (breadth:length)

1:2

When the length is 48in, the breadth is half the length, hence, the breadth is 24in.

Final Solution:

So, when the base is 48in, the width is 24in.

Since we have the two values

P = 2(l+b)

= 2(48+24)

= 2 * 72

= 144in

Feel free to mark this as brainliest! :D

Answer:

A

Step-by-step explanation:

Given

y - 2x - 8 = 0 ( add 2x + 8 to both sides )

y = 2x + 8 → (1)

y² + 8x = 0 → (2)

Substitute y = 2x + 8 into (2)

(2x + 8)² + 8x = 0 ← expand left side using FOIL and simplify

4x² + 32x + 64 + 8x = 0

4x² + 40x + 64 = 0 ( divide through by 4 )

x² + 10x + 16 = 0 ← in standard form

(x + 8)(x + 2) = 0 ← in factored form

x + 8 = 0 ⇒ x = - 8

x + 2 = 0 ⇒ x = - 2

Substitute these values into (1) for corresponding values of y

x = - 8 : y = 2(- 8) + 8 = - 16 + 8 = - 8 ⇒ P (- 8, - 8)

x = - 2 : y = 2(- 2) + 8 = - 4 + 8 = 4 ⇒ Q (- 2, 4 )

Calculate the length of PQ using the distance formula

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

with (x₁, y₁ ) = P (- 8, - 8) and (x₂, y₂ ) = Q (- 2, 4 )

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

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

       = [tex]\sqrt{6^2+12^2}[/tex]

       = [tex]\sqrt{36+144}[/tex]

       = [tex]\sqrt{180}[/tex]

       = [tex]\sqrt{36(5)}[/tex]

       = [tex]\sqrt{36}[/tex] × [tex]\sqrt{5}[/tex]

        = 6[tex]\sqrt{5}[/tex] → A

Answer:

8 mm

Step-by-step explanation:

the total length of the rod is 330, it's asking how many individual Rods cut at the length 41 1/4 which in decimal form is 41.25,, 330/41.25 = 8. anytime a question asks you how many of something can be obtained at a length just divide from total !

Answer: Answer in Photo

Answer:

The measure of the unknown angle is 15°.

Step-by-step explanation:

Represent this angle by A.  Then the complement of A is 90° - A.

"Angle whose complement is five times its measure" would be expressed as

90° - A = 5A

Solve this for A by adding A to both sides:

90° = 6A.  Then A = 90°/6, or 15°

Answer:

shenf dhd

Step-by-step explanation:

rhrbrutb hnjngb bdjdhdhdgdg jdjdurbervy

Answer:

lets find the exact value of w

7w - 7 = 7

+7        +7

7w = 14

/7     /7

w = 2

Now let's replace w with 2

5(2) + 1 = 11

Answer:

7

Step-by-step explanation:

because if you add 10+7 17 17+7=24

Answer:

a) $3250

b) 31%

Step-by-step explanation:

a) 910 + 2340 = $3250

b) 18 + 13% = 31%

my bad i read it wrong hold up

If you deposit $8000 into an account paying 7% annual interest compounded quarterly, how long until there is $12400 in the account?

The formula for deducing Compounded Annual Growth rate, CAGR = {( EV / SV)^1 / n} - 1

where:

EV = Investment's ending value

SV = Investment's starting value

n = Number of investment periods (months, years, etc.)

If you rearrange the formula for deducing the time period required.

SV = $8000

EV= $12400

Total appreciation = (EV-SV)*100%/SV = 64.52%.

At CAGR of 7%, the time required for any value to appreciate 64.52% is 6 years and 6 months

Step-by-step explanation:

mark me brainly have a great day!!!!

Answer:

[tex]\frac{4}{9}[/tex]

[tex]-\frac{9}{4}[/tex]

Step-by-step explanation:

First, solve the equation for y to find the slope of the original line. When you solve for y you get [tex]y=-\frac{9}{4}x+2[/tex]. Since the coefficient of x in slope-intercept form is the slope, -9/4 is the slope of this line.

Perpendicular lines have the opposite slope, so if the slope is a/b then the perpendicular slope is -b/a. Since the slope is -9/4, the perpendicular slope is 4/9.

Parallel lines have the same slope. So, the slope is the exact same, -9/4.

Answer:

Step-by-step explanation:

Given:

and

Find the composite function f(g(x)), substitute g(x) with its value:

Answer:

It is given

4x+3y=24

We can also write it as

3y=24−4x

 y=324−4x

Substituting x=0 in the given equation

 y=324−4(0)

 So we get 

 y=324

 By division 

 y=8 

 Substituting x=3 in the given equation 

 y=324−4(3)

 So we get

 y=312

 BY division 

 y=4

Answer:

-3m+6=9

Step-by-step explanation:

-3m=3

Divide by -3

m=-1

Answer:

5

Step-by-step explanation:

expand: -3m - -6 = -9

-9 + -6 = -15

-3m = -15

-15 / -3 = 5

m = 5

Answer:

I think 66 is correct answer

Answer:

66

Step-by-step explanation:

Thank You! Please thank me. Also I answered your question "what is input/output of TV"

Answer:

6%

Step-by-step explanation:

step by step

$20 to $14

we subtract

20-14

=6

Answer:D.30%

Step-by-step explanation:

76y = 19

Divide both sides by 76

y = 19/76

Simplify 19/76 by dividing by the GCF of 19 and 76, which is 19. 76 divided by 19 is 4.

y = 1/4

Hope this helps!! :)

Answer:2.81

Step-by-step explanation:

Answer:

y- intercept = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{4}{3}[/tex] , then

y = - [tex]\frac{4}{3}[/tex] x + c

To find c substitute (- 3, 7 ) into the equation

7 = - [tex]\frac{4}{3}[/tex] (- 3) + c

7 = 4 + c ⇒ c = 7 - 4 = 3 ← y- intercept

Answer:

i think 2nd one is true....f(-2)=g(-2)

Answer:

A is correct: [tex]f(0)=g(0)[/tex]

Step-by-step explanation:

To find this answer, we first must identify what [tex]f(x)[/tex] and [tex]g(x)[/tex] means.

[tex]f(x)[/tex] shows the y value of the line at the specified x value.

[tex]g(x)[/tex] shows the y value of the line at the specified x value.

So in order to solve this problem, we must look at each of the options and see which one is true.

If we take a look at the first option...

[tex]f(0)=-2[/tex] in this example and [tex]g(0)=-2[/tex] as well.

[tex]-2=-2[/tex] and therefore, option A is correct.

Answer:

1/2

Step-by-step explanation:

Answer:

0.03125

Step-by-step explanation:

just put in the calculator (1/4)/8 and your answer should be 0.03125!! hope I helped you!!!! :)

Answer:

You are correct! :)

Extra tip:

It can also be written like 'C = 2πr' and that works just as well!

Answer:

circumference=2πr formula 2×22/7×r

Hold on, our servers are swamped. Wait for your answer to fully load.        Step-by-step explanation:

Answer:

Answer:x =6

Answer:x =6Step-by-step explanation:

Angle in a triangle is 180

75+ (7x+14) +49 =180

75+ 49+ (7x+14)= 180

124+ (7x+ 14) = 180

124+ 14 +7x= 180

138+7x = 180

7x =180- 138

7x=42

x= 6

Answer:

1st side= 4m

2nd side= 8m

3rd side= 12m

Step-by-step explanation:

Let the first, second and third side of the triangle be a, b and c meters respectively.

a= b -4 -----(1)

c= 3a -----(2)

Perimeter of triangle

= a +b +c

= 24

a +b +c= 24 -----(3)

From (1): b= a +4 -----(4)

Subst. (2) and (4) into (3):

a +(a +4) +3a= 24

3a +a +a +4= 24

5a +4= 24

5a= 24 -4

5a= 20

Divide both sides by 5:

a= 20 ÷5

a= 4

Substitute a= 4 into (4):

b= 4 +4

b= 8

Substitute a= 4 into (2):

c= 3(4)

c= 12

Thus, the lengths of the first, second, and third side of the triangle are 4m, 8m and 12m respectively.