Rose is getting balloons for her grandfather's birthday party. She wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Rose wants to get 43 balloons, how many yards of string will she need?
1 foot =
1
3
yard

Given:

The logarithmic equation is:

[tex]\log x+\log (x-3)=1[/tex]

To find:

The value of x.

Solution:

Properties of logarithm used:

[tex]\log a+\log b=\log (ab)[/tex]

[tex]\log 10=1[/tex]

[tex]\log x[/tex] is defined for [tex]x>0[/tex].

We have,

[tex]\log x+\log (x-3)=1[/tex]

Using properties of logarithm, we get

[tex]\log [x(x-3)]=\log 10[/tex]

[tex]x^2-3x=10[/tex]

Splitting the middle term, we get

[tex]x^2-5x+2x-10=0[/tex]

[tex]x(x-5)+2(x-5)=0[/tex]

[tex](x-5)(x+2)=0[/tex]

[tex]x=5,-2[/tex]

In the given equation, we have a term [tex]\log x[/tex]. It means the value of x must be greater than 0 or positive. So, the only possible value of x is:

[tex]x=5[/tex]

Therefore, the value of x is 5.

Answer:

A'B' = 8, M<A' = 37

If the scale factor is 2, then every coordinate point of the original triangle is multiplied by the scale factor 2.

Answer: here is the answer I had to do file hosting

Step-by-step explanation: https://www.wattpad.com/story/34339632-5sos-boyxboy-smut

Answer:

Y=2X

Step-by-step explanation:

when x=2 & y=4

y= 2(2)

y= 4

when x= -1 & y=4

y= 2(-1)

y= -2

and it goes on

Answer:

1) 678.24

2)366.333.... repeating

3) 254.34

Step-by-step explanation:

1) 3.14 x 6² = 113.04 ---> 113.04 x 6 = 678.24

2) 3.14 x 5² = 78.5 ---> 78.5 x 14 = 1099 ---> 1099/3 = 366.333.... repeating

3) 3.14 x 9² = 254.34

Answer:

63

Step-by-step explanation:

the first one is 9x bigger then the second one

so 7x9 is 63

Answer:

W=5

Step-by-step explanation:

-4(w+1}=-24

-4w-4=-24

-4w=-20

w=5

Answer:

its 5

Step-by-step explanation:

i got i correct ;)

Answer:

the answer is c

Step-by-step explanation:

inscribed angles made by same base should be equal

Answer:

choice 3)

JK = 3.51

WK = 9.15

∠J = 69°

Step-by-step explanation:

sin 21° = JK/9.8

0.3584 = JK/9.8

cos 21° = WK/9.8

0.9336 = WK/9.8

WK = 9.15

∠J = 90° - 21° = 69°

Answer:

The answer is 25

Step-by-step explanation:

Answer: 25 Is the correct answer.

Answer:

on the x axis start from the point and draw it forward to -16(basically negative side) the draw a line upwards on the y-axis to the line inbetween 3 and 4 (this is on the y axis)

Step-by-step explanation:

this one because x has to be bigger than 15.

The graph with inequality x>15 is (B)

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

x>15

As, x is greater than 15.

So, the graph with x value labelled from the numbers greater than 15 which is represented by graph on right top corner.

Learn more about inequality here:

https://brainly.com/question/20383699

#SPJ2

Answer:

Its A

Step-by-step explanation:

V = (π)r^2(h)

R = 1/2 diameter

   = 24/2 = 12

   = 12

H = 12

V = (π)12^2(12)

V = (π)144(12)

V = (π)1728

V = 5428.67

Most likely C

Answer:

Follow the same thing for the rest (plug the given in)

Step-by-step explanation:

1. y= 2x

x+y= -18

Plug 2x for y

x+2x= -18

3x=-18

x= -6

2.

x= 3y-1

x+2y=9

Plug 3y-1 for x

3y-1 +2y=9

5y= 10

y= 2

Step-by-step explanation:

ბსბსჰაჯკწნანსოქნნსნზჯზი

To find a y term, find the absolute value of the x term (|x|).

Absolute value - the distance between 0 and a number. The absolute value of a number will always be equal to the positive form of the number (if it isn't already positive).

Some examples: The absolute value of 18 is 18. The absolute value of -10 is 10.

Find the absolute value of each x term to find y:

x ⇒ y

-2 ⇒ 2

-1 ⇒ 1

0 ⇒ 0 (the absolute value of 0 is always 0)

1 ⇒ 1

2 ⇒ 2

I hope this helps!

Answer:

X=1, y=3

Step-by-step explanation:

-x+ 4=3x

4=4x

1=x

insert value of x into either equation to solve for y.

Y=3x

y=3(1)

y=3

Answer:

616 yd³

Step-by-step explanation:

Volume = base × height

The volume of the prism

= (7×8) ×11

= 616 yd³

Answer:

OC.6 ft hope this helps you

Answer: 6 ft

Step-by-step explanation:

L×w×h    36×12×24=10368in

1 cubic foot = 1728in          10368÷1728=6

Answer: -1

Step-by-step explanation:

x is the slope and the value of x is negative one.

1 is the initial value because it started at 1 in the beginning, and it transfered up to 6,7.

Answer:

1

Step-by-step explanation:

The initial value is the y intercept or where the line crosses the y axis.

Answer:

4/5 is the answer

Step-by-step explanation:

2/5 equals 4/10 plus the other 4/10 equals 8/10 simplified 4/5

Answer:

2/5 or 0.4

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

4/15 *3/2

12/30

6/15

2/5

Answer:

119.64m^3

Step-by-step explanation:

Given that

The height is 12.7 m

And the base with the circumference is 18.9 m

We need to find out the volume of the right circular cone

As for determining it first compute the radius

As we know that

Circumference = 2πr

18.9 = 2 × 3.14 × r

r = 3m

Now the volume is

= 1 ÷ 3πr^2h

= 1 ÷ 3 × 3.14 × 3^2 × 12.7

= 119.64m^3

Answer:

so the three sides of same triangle have 36°,64° or 64°

we know the total sum of angles of triangle is 180 then

here to find x

so if we add all the 3 triangle and - (subtract) it with 180° = remaining side

now 36°+64°+64°= 164

now. x= 180-164= 16°

Answer:

y = -5x + 4/3

Step-by-step explanation:

m is the slope and b is the y intercept. m= -5 so -5 is the slope and b= 4/3 so 4/3 is the y intercept.

Answer:

[tex] \sqrt{25 \times 4} [/tex]

=[tex] \sqrt{5²×2²} [/tex]=±[5×2]=±10

Answer:

the number of games rented

Step-by-step explanation:

in y=5x + 7

7= membership fee

5x represents the $5 per game times the number of games rented x

Answer:

43 + 24 = 67

38 + 29 = 67

This means that there equal making

D. 43 + 24 = 38 + 29

The correct answer.