What is 113.09 rounded to the nearest tenth

Melissa runs a dog-boarding service. The cost to board a dog for one day is $25.00. If the same dog owner wants to board their d

myrzilka [38]

Answer: 25 + 15x ≤ 150

Step-by-step explanation: For this problem we will write an inequality to represent this situation.

Let x equal each additional day.

25 + 15x ≤ 150

The inequality above states that the dog owner will spend $25 for the first day and then for each additional day the dog owner will spend $15, but is budget is no more than $150 that the dog owner can spend.

7 0

3 years ago

Read 2 more answers

Ticketd to the school play cost $11 for adults and $6 for children. What expression can be used to find the toyal cost for x adu

Makovka662 [10]

Answer:221

Step-by-step explanation:

4 0

3 years ago

15x-7=2+12x I need help with this

Amanda [17]

Answer:

$\huge{ \boxed{ \bold{ \tt{x = 3}}}}$

<h3>♁ Question : Solve for x</h3>

15x - 7 = 2 + 12x

<h3>♁ Step - by - step explanation</h3>

$\text{15x - 7 = 2 + 12x}$

Move 12x to L.H.S ( Left Hand Side ) and change it's sign

➛ $\sf{15x - 12x - 7 = 2}$

Move 7 to R.H.S ( Right Hand Side) and change it's sign

➛ $\sf{15x - 12x = 2 + 7}$

Subtract 12x from 15x

Remember that only coefficients of like terms can be added or subtracted.

➛ $\sf{3x = 2 + 7}$

Add the numbers : 2 and 7

➛ $\sf{3x = 9}$

Divide both sides by 3

➛ $\sf{ \frac{3x}{3} = \frac{9}{3}}$

➛ $\boxed{ \bold{ \sf{x = 3}}}$

The value of x is $\boxed{ \sf{3}}$

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

☄ Now, let's check whether the value of x is 3 or not!

<h3>☥ Verification :</h3>

$\sf{15x - 7 = 2 + 12x}$

$\dashrightarrow{ \sf{15 \times 3 - 7 = 2 + 12 \times 3}}$

$\dashrightarrow{ \sf{45 - 7 = 2 + 36}}$

$\dashrightarrow{ \sf{38 = 38}}$

L.H.S = R.H.S ( Hence , the value of x is 3 ).

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

<h3>✒ Rules for solving an equation :</h3>

If an equation contains fractions ,multiply each term by the L.C.M of denominators.
Remove the brackets , if any.
Collect the terms with the variable to the left hand side and constant terms to the right hand side by changing their sign ' + ' into ' - ' and ' - ' into ' + ' .
Simplify and get the single term on each side.
Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl

5 0

2 years ago

Please help i dont get it

raketka [301]

<em>x</em> and <em>w</em> are parallel lines, so

• angles 2 and the one labeled 75º are congruent because they are alternating interior angles, and

• angles 1 and 2 are supplementary because they form a linear pair.

The first observation tells you that angle 2 has measure 75º, and angle 1 has measure <em>m</em> such that

<em>m</em> + 75º = 180º

so angle 1 has measure 180º - 75º = 105º.

6 0

3 years ago

Everyday Math

aliya0001 [1]

Answer:

In 1942 , the U.S. Mint produced 154,500,000 nickels. The scientific notation of 154,500,000 is obtained as $1.545 \times 10^{8}$ .

Step-by-step explanation:

In the problem, it is given that in 1942, the U.S. Mint produced 154,500,000 nickels.

It is required to write 154,500,000 in scientific notation.

To solve this first, move the decimal point so that the first factor is greater than or equal to 1 also it should be less than 10.

Count the number of decimal places n, and write the number as a product with a power of 10. Then check the answer.

Step 1 of 2

Obtain the scientific notation.

Here the original number, 154,500,000 is greater than 1 so we will have a positive power of 10 .

Move the decimal point to get 1.545, a number between 1 and 10 . Then we get,

1.54500000

The count of the number of decimal places the point was moved is 8 .

Write as a product with a positive power of 10 .

$1.545 \times 10^{8}$

Step 2 of 2

Check the answer.

Rewrite and simplify to check our answer.

$\begin{gathered}1.545 \times 10^{8}=1.545 \times 100000000 \\=154500000\end{gathered}$

7 0

2 years ago