Solve the equation. -9x + 1 = -x + 17

You hammer a nail into a tree trunk 10 ft above the ground (and the tree is currently 20 ft tall). The tree grows taller at a ra

AnnZ [28]

Answer:

The nail would be 30 feet above the ground in 10 years.

Step-by-step explanation:

We are given the following in the question:

Height of nail = 10 feet.

The tree grows taller at a rate of 2 feet per year.

Thus, the height of nail can be represented by a linear function:

$h(t) = 10 + 2t$

where t is the number of years.

We have to find the height of nail in 10 years.

Putting t = 10, we get,

$h(10) = 10 + 2(10)\\h(10) = 30$

Thus, the nail would be 30 feet above the ground in 10 years.

3 0

4 years ago

Look at the picture!! HELP ASAP

Inessa05 [86]

It is c
Rhomuses are slanted squares

4 0

3 years ago

Read 2 more answers

What is the slope of the graph of y = -3x? -1/3 1/3 -3 3

NISA [10]

Answer:

Slope is -3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Step-by-step explanation:

Step 1: Define

Identify

y = -3x

↓ Compare to y = mx + b

Slope m = -3

y-intercept b = 0

3 0

3 years ago

Read 2 more answers

A country has two political parties, the Demonstrators and the Repudiators. Suppose that the national senate consists of 100 mem

IRISSAK [1]

Answer:

(a) 4.148 x 10^(12) ways

(b) 5,827,360 ways

Step-by-step explanation:

Number of Demonstrators (D) = 44

Number of Repudiators (R) = 56

(a)

5 senate members must be Repudiators and 5 must be demonstrators, assuming that the order at which they are selected is irrelevant:

$N= C^{D}_{5} * C^{R}_{5}\\N=\frac{56!}{5!(56-5)!} *\frac{44!}{5!(44-5)!} \\N=3,819,816*1,086,008\\N=4.148 *10^{12}$

(b)

Since there are two different positions, (speaker and vice speaker), order is important in this situation, and the total number of ways to select two senators from each party is:

$N= P^{D}_{2} * P^{R}_{2}\\N=\frac{56!}{(56-2)!} *\frac{44!}{(44-2)!} \\N=3,080*1,892\\N=5,827,360$

6 0

4 years ago

Racheal used a total of 5 1/6 gallons of gas while driving her car. Each hour she was driving, she used 5/9 gallons of gas. What

Andreyy89

Answer: The correct answer is: " 9.3 hours " .

_________________________________

Step-by-step explanation:

_________________________________

To calculate:

Let "gal" represent "gallons (of gas)" ;

Let "h" represent "hour(s)" ;

________________________________

5 $\frac{1}{6}$ gal * (  1 h  ) = ? h ;

( 5/9 gal ) ;

________________________________

Note: On the "left-hand side" of the equation;

The units of "gal" ["gallons"] — "cancel out" ;

→ {since: "gal/ gal = 1"} ;

____________________________

and we can rewrite our equation as:

_____________________________

( 5 $\frac{1}{6}$ )

________ hours ;

( 5/9 )

______________________________ ;

To solve:

_____________________________

5 1/6 ÷ (5/9) =

5 1/6 * (9/5) ;

____________________________

Note: Dividing by a fraction is the same as multiplying by that very fraction's reciprocal form.

__________________________

Now, let us convert "5 1/6" ; which is a "mixed fraction" ; into an

"Improper fraction" ;

__________________________

To do this, we can use the "MAD" method:

__________________________

M: Multiply the "denominator number" of the "fraction portion" [within the "mixed fraction"]—by the "whole number" [within the "mixed fraction" ; In this case: "6" , multiplied by "5" ; to get "30" ;

_________________

Then:

_________________

A: Add this obtained value; to the "numerator number" of the

"fraction portion" [within the "mixed fraction"] ;

In this case: "30" ; added to "1" ; to get 31:

__________________

Then:

D: Divide this number by the "denominator number" of the "fraction portion" [within the "mixed fraction"] ; but instead of solving for the quotient—write in the format of a fraction:

In this case: " $\frac{31}{6}$ " .

_________________________

Now, substitute this "improper fraction" into our original problem; and rewrite:

_________________________

" $\frac{31}{6} * \frac{9}{5}$ " hours;

_________________________

We can reduce the "9" to "3" ; and the "6" to "2" ;

_________________________

{Since "9/6 = 3/2" };

_________________________

And rewrite as:

_________________________

" $\frac{31}{2} * \frac{3}{5}$ " hours ;

_________________________

Note: " \frac{31}{2} * \frac{3}{5} " ;

_________________________

= " $\frac{(31*3)}{(2*5)} = \frac{93}{10}$ " ;

_________________________

= 93 ÷ 10 ;

_________________________

= 9.3 hours.

_________________________

The answer is: " 9.3 hours " .

_________________________

Hope this explanation is helpful!

Best of luck to you in your academic pursuits!

_________________________

3 0

3 years ago