Match each number to a point on the number line.

The solution to the given equation round to the nearest tenth as required in the task content is; 0.7.

According to the task content, the solution to the equation given is to be determined round to the nearest tenth.

On this note, the equation can be solved as follows;

53/2 = 18/x

By cross-multiplication; we have;

53 × x = 2 × 18

53x = 36

x = 36/53

x = 0.679

However, when round to the nearest tenth, x = 0.7.

Ultimately, The solution to the given equation round to the nearest tenth as required in the task content is; 0.7.

Read more on rounding off;

https://brainly.com/question/13055279

#SPJ1

2304 times 3 goes into 6912 and gives the remainder as 0.

The numerator number in the given division number 6912 by 3 is known as a dividend, and the denominator number is known as a divisor. As a result, 6912 is the dividend number and 3 is the divisor number.

Division is one of the four fundamental mathematical operations, along with addition, subtraction, and multiplication. Division is defined as the splitting of a large group into smaller groups so that each group has an equal number of items. In mathematics, it is an operation used for equal grouping and equal sharing.

Division is a basic arithmetic operation in which a larger number is divided into smaller groups with the same number of items. For example, how many total groups will be formed if 30 students must be divided into groups of 5 students for a sporting event? Such problems are easily solved by using the division operation. Here, we must divide 30 by 5. 30 5 = 6 will be the result. As a result, there will be six groups of five students each.

To know more about digits from the given link:

brainly.com/question/24111947

#SPJ9

Answer:

Step-by-step explanation:

perimeter is the sun of all sides, so, (x)+(x+3)+(x-4)+(2x)

                                                            = x+x+3+x-4+2x

                                                            = 5x-1 is the answer

Answer:

x=− 3n/4

Step-by-step explanation:

The similarities between the expressions in all the three problems is that after opening brackets both of the expressions are the same.

Two expressions are similar if their values after solving are equal.

12. -3 and -(3)

Here, when we open the bracket for -(3), we obtain -3 which is the same as the first expression.

13. -1(7) and -(7)

Solving for the first expression, we get -1×7 = -7 and

-(7) = -7.

We can see that both expressions are similar.

14. -2(4) and -(2•4)

Solving -2(4), we get -2×4 = -8

And, -(2·4) = -(8) which is the same as -8

Hence, both expressions are similar.

To learn more about similarities between expressions, visit

https://brainly.com/question/1203276

#SPJ9

Answer ANSWER (x+3) 12

Step-by-step explanation:

The number of girls is 147 and the number of boys is 245 in the introductory geology course

Students enrolled in the introductory geology course = 392 students

The ratio of boys to girls in the course = 5:3

Let the number of girls in the course be x, then the number of boys will be 392-x

Formulating the equation we get:

Number of boys/Number of girls = Ratio of boys/Ratio of girls

= 392-x/x = 5/3

= (392-x)*3 = 5x

= 1176-3x = 5x

=1176 = 8x

x = 147

Hence, the number of girls is 147 and the number of boys is 245

Learn more about ratios:

https://brainly.com/question/13419413

#SPJ9

Answer:

you just gotta add up what carissahas and subtract what Brooke has and you'll have the answer

Step-by-step explanation:

x = number of weeks

so, we need to see, what is the number of weeks it takes for both to have the same balance.

it takes both the same amount of weeks, of course.

so,

250 + 15x = 750 + 10x

15x = 500 + 10x

5x = 500

x = 100

it takes them 100 weeks to have the same amount of money in their accounts.

Answer:

  11,179,000 mi/min

Step-by-step explanation:

You want the given speed of light expressed in miles per minute.

To convert the speed from km/s to mi/min, we need to multiply by factors of s/min and mi/km.

  [tex]\dfrac{299792\text{ km}}{\text{s}}\times\dfrac{60\text{ s}}{\text{min}}\times\dfrac{1\text{ mi}}{1.609\text{ km}}=\dfrac{299792\cdot 60}{1.609}\,\dfrac{\text{mi}}{\text{min}}\\\\\approx\boxed{11,\!179,\!000\text{ mi/min}}[/tex]

The print statement System.out. printIn("bc" + 2 + 3) would print "bc23"

The statement is given as

System.out. printIn("bc" + 2 + 3)

The above statement is a Java print statement

The expressions in the print bracket would be treated as strings.

This is so because of the first statement "bc"

So, the statements would be concatenated

Hence, the print statement System.out. printIn("bc" + 2 + 3) would print "bc23"

Read more about print statements at

https://brainly.com/question/16397886

#SPJ1

Answer:

She scored 12

therefor she did pass

Step-by-step explanation:

The measures of the angles are <1 = 85, <2 = 105, <3 = 85 and <4 = 105

The diagram that completes the question is added as an attachment

From the diagram, we have

<1 + <2 = 180 degrees --- supplementary angles

Given that

<2 - <1 = 30 degrees

Add the above equations

So, we have

2<2 = 210

Divide both sides by 2

<2 = 105

Substitute <2 = 105 in <2 - <1 = 30

So, we have

105 - <1 = 30

Evaluate

<1 = 85

Also, we have

<3 = <1

<4 = <2

This means that

<3 = 85

<4 = 105

Hence, the measures of the angles are <1 = 85, <2 = 105, <3 = 85 and <4 = 105

Read more about angles at

brainly.com/question/7620723

#SPJ1

Following are the numbers correct to 3 significant figures

Answers to the following questions:

(1) Round to the needed significant figure: 37400;

(2) Round to the required significant figure: 84600;

(3) Round to the required significant figure: 261;

(4) Round to the needed significant figure: 0.00262

(5) Round to the required significant figure: 0.368

(6), round to the needed significant figure: 0.00257

The most significant number in the number is rounded up. Check the first non-zero digit if you want to round to one significant figure while doing so. If rounding to two significant numbers, have a look at the digit that comes after the first non-zero digit.

To learn more about correct to significant numbers from given link

https://brainly.com/question/26492565

#SPJ9

Six and fifty-three thousandths

I'm sure

Step-by-step explanation:

this is an exercise to take the logical definition of an operation and apply it.

we have first a triangle operation that simply stands for the sum of the 3 included values divided by 3.

in other words, FYI, it creates the mean value of 3 given numbers.

so, we need to calculate

mean value (7, 4, 4) + mean value (8, 2, 11).

(7 + 4 + 4)/3 + (8 + 2 + 11)/3 = 15/3 + 21/3 = 36/3 = 12

the second calculation is based on a table defining a new operation Delta :

2 Delta 2 = 20

2 Delta 5 = 5

2 Delta 3 = 5

5 Delta 2 = 3

5 Delta 5 = 10

5 Delta 3 = 23

3 Delta 2 = 3

3 Delta 5 = 2

3 Delta 3 = 50

so, now we need to use this to calculate

(5 Delta 2) Delta (2 Delta 3)

3 Delta 5

2

the result is 2.

The equation that relates the total amount of gasoline in the tank is;

y = x + 4.

For the given question;

The amount of gasoline already present in tank is 4 gallons.

The number of gallons filled above the the previous gasoline is x.

Thus, now the total gasoline present in this tank is x + 4.

If y shows the total gasoline in tank;

Then,

y = x + 4.

Therefore, the total amount of gasoline present in tank is given by equation is; y = x + 4.

To know more about the linear equation, here

https://brainly.com/question/2030026

#SPJ9

Answer:

5x = 8(x - 3)

5x = 8x - 24 → Expand the brackets

-3x = -24 → Collect like terms ,which simply means that you'll transfer 8x to the other side , which will make it -8x

x = 8 → Divide both sides by the coefficient of x (3) : minus cancels minus; then 24 ÷ 3 = 8.

Answer:

13

Step-by-step explanation:

[tex] \sqrt{ {(8 - 3)}^{2} + {( - 4 - 8)}^{2} } [/tex]

[tex] \sqrt{ {5}^{2} + {( - 12)}^{2} } [/tex]

[tex] \sqrt{25 + 144} = \sqrt{169} = 13[/tex]

The best description of a best efforts underwriting commitment is Underwriter commits to selling as much of the issue as possible at the agreed-on offering price but can return any unsold shares to the issuer without financial responsibility.

In a best efforts underwriting commitment, the Underwriter will make a commitment by which they promise to sell as much as they can of a company's stock at a price that is best.

This price would have been agreed between the underwriter and the company.

However, if the stock issue is not sold entirely and there are unsold shares, then these unsold shares are returned to the issuer with no financial responsibility for the underwriter.

Find out more on best efforts underwriting at https://brainly.com/question/13870464

#SPJ1

Step-by-step explanation:

the first number as percentage of the second number.

that means the second number is 100%

100% = 35,700

1% = 100%/100 = 35,700/100 = 357

how many % are 42,200 ?

we find out by checking how often 1% fits in :

42,200/357 = 118.2072829...%

$42,200 is 118.2072829...% of $35,700

The three budget planning tips can be , to be aware of your net income , listing your monthly expenses and making adjustments.

What is a budget ?

A budget is an estimation of revenue and expenses over a specified future period of time.

We know that budgets can be created for an individual, a team of individuals, a business, a government, or pretty much anything else that generates and spends money.

The 3 budget planning tips can be as follows.

1.

First tip is to be aware of your net income. Finding out how much money you have coming in is the first step in making a budget. Setting up a budget is a crucial part of managing your finances and spending patterns. So , you must figure out how much money you are spending in order to develop a budget.

2.

Second tips can be to list your monthly expenses. The monthly expenses can be many such as rent payments , loan payments , insurances and utilities.

3.

Making adjustments is a third planning suggestion. You just compare your monthly expenses and net income. You'll need to alter your spending if you find that your expenses exceeds your income.

Therefore , the three budget planning tips can be , to be aware of your net income , listing your monthly expenses and making adjustments.

Learn more about budget here :

https://brainly.com/question/17198039

#SPJ1

Answer: first one

Step-by-step explanation:

The speed of the fast plane is 490 mph while the speed of the slow plane is 400 mph

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the speed of the fast plane and y represent the speed of the slow plane.

Their speeds differ by 90mph, hence:

x - y = 90      (1)

The planes meet after 3 hours, hence:

3x + 3y = 2670    (2)

From both equations:

x = 490, y = 400

The speed of the fast plane is 490 mph while the speed of the slow plane is 400 mph

Find out more on equation at: https://brainly.com/question/13763238

#SPJ1

Answer:

23

Step-by-step explanation:

9 + 2(4 + 3)

9 + ((2 * 4) + (2 * 3))

9 + (8 + 6)

9 + 14

23

Step-by-step explanation:    

Calculate within parentheses (4+3) : 7

[tex]=9+2\cdot \:7[/tex]

Multiply and divide (left to right) 2 . 7 : 14

[tex]=9+14[/tex]

Add and subtract (left to right) 9 + 14: 23

ANSWER: [tex]=23[/tex]

Explanation in words (Short Form)

-  The first step is to calculate within parentheses and the answer will result as 23

- The second step is to add and subtract so 9+14 = 23.

- The third step is to find the answer which is 23

Answer:  

23

Hope this helps.

Answer:

x = −2, 2

Step-by-step explanation:

[tex]f(x)=\frac{\left(x^{2}+3x+6\right)}{x^{2}-4}[/tex]

Find the horizontal asymptotes by comparing the degrees of the numerator and denominator.

Vertical Asymptotes:

x=−2,2Horizontal Asymptotes:

y=1

No Oblique Asymptotes

Full Explanation

The line x=L is a vertical asymptote of the function [tex] y=\frac{x^{2} + 3 x + 6}{x^{2} - 4}[/tex] if the limit of the function (one-sided) at this point is infinite.

In other words, it means that possible points are points where the denominator equals 0 or doesn't exist.

So, find the points where the denominator equals 0 and check them.

x=−2, check: [tex] \lim_{x \to -2^+}\left(\frac{x^{2} + 3 x + 6}{x^{2} - 4}\right)=-\infty [/tex]

Since the limit is infinite, then x=−2 is a vertical asymptote.

x=2, check: [tex]\lim_{x \to 2^+}\left(\frac{x^{2} + 3 x + 6}{x^{2} - 4}\right)=\infty[/tex]

Since the limit is infinite, then x=2 is a vertical asymptote.

Vertical asymptotes: x=−2; x=2

The number of weeks whwn the Vasquez family both visit their grandmother and host the neighborhood party is 24 weeks.

The weeks will all three events occur is 48 weeks.

From the information, the Vasquez family visit their grandmother every three weeks and host a neighborhood party every eight weeks.

Therefore, this situation is just to find the least common factor of 3 and 8. This is 24

Therefore, the number of weeks whwn the Vasquez family both visit their grandmother and host the neighborhood party is 24 weeks.

Learn more about factor on:

brainly.com/question/25829061

#SPJ1

Answer:

Step-by-step explanation:jed