a rectangles width is 4 less than its area and its length is 19. what is it’s width?

Answers

Answer 1

The width of the rectangle is [tex]\frac{2}{9}[/tex] unit

Step-by-step explanation:

The given is:

A rectangles width is 4 less than its areaIts length is 19 units

We need to find the width of the rectangle

Assume that the width of the rectangle is x units

∵ The area of the rectangle = length × width

∵ The width of the rectangle = x units

∵ The length of the rectangle = 19 units

∴ The area of the square = 19 × x = 19 x units²

∵ The width of the rectangle is 4 less than its area

- That means subtract 4 from the area to find the width

∴ x = 19 x - 4

- Subtract 19 x from both sides

∴ -18 x = -4

- Divide both sides by -18

∴ x = [tex]\frac{-4}{-18}[/tex]

- Reduce the fraction by dividing up and down by -2

∴ x = [tex]\frac{2}{9}[/tex]

The width of the rectangle is [tex]\frac{2}{9}[/tex] unit

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Related Questions

Find the volume of a rectangular block of ice 2 feet by 4 1/2 feet by 1 1/2 feet.

Answers

Answer:

13.5 ft Cubed

Step-by-step explanation:

This is the same thing as [tex]2*4.5*1.5[/tex]. Now just multiply and you get

[tex]13.5[/tex].

Using scientific notation, what is the solution to (5.65 * 105) + (4.87 * 103)?

Answers

1089.61 your welcome

The area of a rectangle is 28 square meters. The length is 7 meters.
What is the width of the rectangle?
meters

Answers

let the width of rectangle be : x

length = 7
width = x

7x = 28
x = 28/7 = 4

Answer : width = 4m

To find the width of the rectangle, use the formula Width = Area ÷ Length. Given an area of 28 square meters and a length of 7 meters, the width is 4 meters.

The area of a rectangle is calculated using the formula:

Area = Length × Width

Given that the area is 28 square meters and the length is 7 meters, we can find the width by rearranging the formula:

Width = Area ÷ Length

Substitute the given values into the formula:

Width = 28 square meters ÷ 7 meters = 4 meters

Therefore, the width of the rectangle is 4 meters.

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 2 large boxes and 6 small boxes has a total weight of 128 kilograms. A delivery of 5 large boxes and 3 small boxes has a total weight of 137 kilograms. How much does each type of box weigh?

Answers

Final answer:

The weight of a large box is 18.25 kilograms and the weight of a small box is 15.25 kilograms.

Explanation:

Let's use a system of equations to solve this problem. Let's assume the weight of a large box is 'x' and the weight of a small box is 'y'. Based on the given information, we can set up the following equations:

2x + 6y = 128 (equation 1)5x + 3y = 137 (equation 2)

Now, we can solve this system of equations to find 'x' (the weight of a large box) and 'y' (the weight of a small box).

We can start by multiplying equation 1 by 5 and equation 2 by 2 to eliminate 'x':

10x + 30y = 640 (equation 3)10x + 6y = 274 (equation 4)

Subtracting equation 4 from equation 3:

24y = 366

Simplifying:

y = 15.25

Substituting the value of 'y' back into equation 1 or 2, we can solve for 'x':

2x + 6(15.25) = 1282x + 91.5 = 1282x = 128 - 91.52x = 36.5x = 18.25

Therefore, a large box weighs 18.25 kilograms and a small box weighs 15.25 kilograms.

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what is a the positive solution of x^2 - 36 =5x​

Answers

Answer:

x = 9

Step-by-step explanation:

[tex]x^2-36=5x\qquad\text{subtract}\ 5x\ \text{from bot sides}\\\\x^2-5x-36=0\\\\x^2+4x-9x-36=0\qquad\text{distribute}\\\\x(x+4)-9(x+4)=0\\\\(x+4)(x-9)=0\iff x+4=0\ \vee\ x-9=0\\\\x+4=0\qquad\text{subtract 4 from both sides}\\\\x=-4<0\\\\x-9=0\qquad\text{add 9 to both sides}\\\\x=9>0[/tex]

The football team scored 28 points in the
first game. 35 points in their second game,
and 17 points in the third game About how
many points were scored in all three
games?

Answers

Answer:

80 points

Step-by-step explanation:

28+35=63.

63+17=80.

Hope this is addition.

That simple

Final answer:

By adding the points scored in each game, we find that the football team scored a total of 80 points in all three games.

Explanation:

To find the total number of points the football team scored in all three games, we simply have to add the points scored in each game together. So, in the first game the team scored 28 points, in the second game they scored 35 points, and in the third game they scored 17 points. If we add these scores together (28 + 35 + 17), we get a total of 80 points. Therefore, the football team scored 80 points in all three games.

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Samantha buys candy bars for $0.75 each and increases the price by 40% to sell at the concession stand. Which represents the amount of the price increase?
(A) $ 0.30
(B) $ 0.40
(C) $ 0.50
(D) $ 0.60

Answers

Answer:

Try to include yes 0.30

Step-by-step explanation:

That is because we have to check the top and the bottom the add and multiply

Answer:

a.) $0.30 cents is the answer

Step-by-step explanation:

.75 • .4

294 rounded to the nearest hundred

Answers

Answer:

300

Step-by-step explanation:

9 rounds it up

The probability of rolling a fair die and not getting an outcome less than 3 is

Answers

The probability of not getting an outcome less than 3 is 2/3

Step-by-step explanation:

We can solve it by finding the probability of getting a number less than 3 and then taking its complement

So,

A die is rolled then

S = {1,2,3,4,5,6}

n(S) = 6

Let p be the probability of getting a number less than 3

The numbers less than 3 are {1,2}

So,

[tex]p =\frac{2}{6}\\p = \frac{1}{3}[/tex]

Let q be the complement of p,

The sum of probability of an event's occurrence and non-occurrence is 1

So,

p+q = 1

q = 1-p

[tex]q = 1 - \frac{1}{3}\\q = \frac{3-1}{3}\\q = \frac{2}{3}[/tex]

The probability of not getting an outcome less than 3 is 2/3

Keywords: Probability, Sample Space

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The probability of rolling a fair die and not getting an outcome less than 3 is 2/3, as there are four favorable outcomes (3, 4, 5, 6) out of six possible outcomes on a fair six-sided die.

To clarify, rolling a die and not getting an outcome less than 3 means getting a 3, 4, 5, or 6. Since a fair die has 6 sides, each side has an equal chance of landing facing up, so the probability of getting any specific number is 1/6.

The outcomes that meet our condition are 3, 4, 5, and 6, which are four possible outcomes out of six. Therefore, the probability is calculated as the number of favorable outcomes over the total number of outcomes, which is 4/6. To simplify 4/6, we divide both the numerator and the denominator by the common factor of 2, which gives us 2/3.

Thus, the probability of rolling a number that is not less than 3 is 2/3.

A home has a room with length 22 feet and width 25 feet. Which dimensions could represent a scale model of the room?
I’ll put you as brainliest
A)Length =6.5in width=7.5inches
B) length=13inch width=14inch
C) length=17.6inch width=19.5inches
D) length =11inches width=12.5inches

Answers

Option D is the correct answer.

When making a scale model, you need to ensure that both values are in proportion, or work with the same constant.

In the case of Option D, the scale model is '2 feet : 1 inch'. Since multiplying 11 by 2 is 22 and 12.5 by 2 is 25, you know for sure that these numbers are in proportion

-T.B.

What is the answer to this

Answers

[tex] \frac{ {11}^{4} }{ {11}^{ - 1} } = {11}^{4} \times 11 = {11}^{5} = 161051[/tex]

[tex] {x}^{ - 1} = \frac{1}{x} [/tex]

[tex] {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]

Answer:

11⁵

Step-by-step explanation:

[tex]\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{11^4}{11^{-1}}=11^{4-(-1)}=11^{4+1}=11^5[/tex]

troop 200 sold cider and donuts to raise money for charity. They sold small boxes of donut holes
for $1.25 and cider for $2.50 a gallon. In order to cover
their expenses they need to raise at least $100. Write and graph an inequality.

Answers

Answer:

The equation for the inequality is , c + d = 200  

And , $ 2.50 c + $ 1.25 d = $ 100

Step-by-step explanation:

Given as :

The total quantity of cider and donuts for charity = 200

The price of donuts holes =$ 1.25

The price of cider = $ 2.50

The total price money for the cider and donuts = $ 100

Let the quantity of each donuts = d

And The quantity of cider = c

Now, According to question

The total quantity of cider and donuts for charity = 200

Or, The quantity of cider + the quantity of each donuts = 200

Or, c + d = 200                  ..........A

And , $ 2.50 c + $ 1.25 d = $ 100               ............B

So, Solving equations

2.50 × ( c + d ) = 2.50 × 200

I.e 2.50 c + 2.50 d = 500

And 2.50 c + 1.25 d = 100    

Or, ( 2.50 c + 2.50 d ) - ( 2.50 c + 1.25 d ) = 500 - 100

Or, (2.50 c - 2.50 c ) + ( 2.50 d - 1.25 d ) = 400

Or,  0 + 1.25 d = 400

∴ d = [tex]\frac{400}{1.25}[/tex]

I.e d = 320

The quantity of donuts = 320

Hence  The equation for the inequality is , c + d = 200  

And , $ 2.50 c + $ 1.25 d = $ 100     Answer

Final answer:

To cover their expenses, the troop needs to raise at least $100. The inequality 2.50x + 1.25y ≥ 100 represents this goal. The primary topic is solving and graphing inequalities in two variables.

Explanation:

To write an inequality to represent the troop's goal, we can calculate the minimum amount of money they need to raise. Let x represent the number of gallons of cider sold and y represent the number of boxes of donut holes sold. The total amount of money raised can be given by the inequality 2.50x + 1.25y ≥ 100.

We can graph this inequality on a coordinate plane. Let's assume x represents the horizontal axis and y represents the vertical axis. To graph the inequality, we can first plot the line 2.50x + 1.25y = 100, which represents the equality. Then, since the inequality is ≥, we shade the region above the line to represent all the possible solutions that satisfy the inequality.

The primary topic of this question is solving and graphing inequalities in two variables.

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At the battle of bunker hill approximately 2400 colonial army troops clashed with 3000 British army troops what is the ratio of the number of British army troops to the number of colonial army troops ?

Answers

Answer:3000:2400

Step-by-step explanation:

The ratio of British army troops to colonial army troops at the Battle of Bunker Hill is 3,000:2,400, which simplifies to 5:4.

The ratio of the number of British army troops to the number of colonial army troops at the Battle of Bunker Hill is calculated by dividing the number of British troops by the number of colonial troops. With 3,000 British troops and 2,400 colonial troops, the ratio is 3,000:2,400.

To simplify the ratio, you could divide both sides by the greatest common divisor. In this case, both numbers can be divided by 1,200 (which is the greatest common divisor of 3,000 and 2,400) to give a simplified ratio.
After dividing both numbers by 1,200, the simplified ratio of British to colonial troops is 2.5:2 or, expressed as a fraction, 2.5/2, which simplifies further to 5:4.

Kristina work is 2.625 miles from her house. She bikes to and from work every day, 5 days a week. How many miles does she bike in all to and from her job in 29 weeks?

Answers

Answer:

Step-by-step explanation:

Since you know that she bikes 2.625 miles to and from, times that by 2 to get the daily miles biked, 5.25 miles.

With this, do 5.25*5 to get the weekly miles biked, 26.25 miles.

Next, do 26.25*29 to get the miles total in 29 weeks, 761.25 miles.

So, Kristina bikes 761.25 miles in 29 weeks for her job.

alex grew 1 foot over the past year. He is now 6 feet tall ​

Answers

what is the question?

In ∆ABC the angle bisectors drawn from vertexes A and B intersect at point D. Find ∠ADB if:
m∠C = γ

Answers

Answer:

155°

Step-by-step explanation:

In Δ ABC, let A = x°

By Angle-sum property,

A + B + C = 180°

But, it is given that C = 130°

So, x + B + 130 = 180

B = 180 - 130 - x

B = 50 - x

Since AD and BD are internal bisectors of A and B,

∠ DAB = x/2 and

∠ DBA =

In Δ ADB, by angle-sum property,

∠ DBA + ∠ DAB +∠ ADB = 180°

+ ∠ ADB = 180°

25 + ∠ ADB = 180°

∠ ADB = 180 - 25 = 155°

Hence, ∠ ADB = 155°

1.1(3) as a simplified fraction

Answers

Answer:

[tex]\large\boxed{1.1(3)=1\dfrac{2}{15}=\dfrac{17}{15}}[/tex]

Step-by-step explanation:

[tex]1.1(3)=1+0.1(3)=1+0.1333...\\\\\text{Let}\ x=0.1333...\qquad\text{multiply both sides by 10}\\\\10x=1.333...\qquad\texT{multiply both sides by 10}\\\\100x=13.333...\qquad\text{make different}\\\\100x-10x=13.333...-1.333...\\\\90x=12\qquad\text{divide both sides by 90}\\\\x=\dfrac{12}{90}\\\\x=\dfrac{12:6}{90:6}\\\\x=\dfrac{2}{15}[/tex]

Solve for x: 3x−8≤23 OR −4x+26≥6

Answers

Answer:

i am smort

Step-by-step explanation:

q

Final answer:

To solve the given system of inequalities, we can solve each inequality separately and then find the intersection of their solution sets. The solution set is x≤5.

Explanation:

To solve the given inequality 3x-8≤23 or -4x+26≥6, we can solve each inequality separately and then find the intersection of their solution sets.

For the first inequality, 3x-8≤23, we add 8 to both sides and then divide by 3 to isolate x: 3x≤31, x≤31/3.

For the second inequality, -4x+26≥6, we subtract 26 from both sides and then divide by -4 to isolate x: -4x≥-20, x≤5.

Since x must satisfy both inequalities, the solution set is x≤5 and x≤31/3. Taking the smaller value, we have x≤5.

Find the distance between point A (-9,-3) to line y = x - 6. Round your answer to the nearest tenth.

Answers

Final answer:

The distance from the point A(-9,-3) to the line y = x - 6 is calculated using the formula for the distance from a point to a line in the coordinate plane. After substituting the values in the formula, the distance is approximately 8.5 units.

Explanation:

To find the distance from point A (-9,-3) to the line y = x - 6, we use the formula for the distance from a point to a line in two-dimensional space. This formula is |Ax1+ By1 + C| / sqrt(A^2 + B^2), where (x1,y1) is the point and Ax+By+C=0 is the equation of the line.

Firstly, we need to rewrite our given equation in the standard form. The equation y = x - 6 becomes x - y - 6 = 0. Therefore, A=1, B=-1, and C=-6.

Substitute A, B, C and the coordinates of point A into the formula, we get the distance as |[1*(-9) - 1*(-3) - 6]| / sqrt((1)^2 + (-1)^2) = |-12| / sqrt(2) = 8.48, rounding this to the nearest tenth, we get 8.5.

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Final answer:

The distance from the point A (-9,-3) to the line y = x - 6 is approximately 4.2 units when rounded to the nearest tenth.

Explanation:

You asked to find the distance between point A (-9,-3) to the line y = x - 6. The formula to find the shortest distance, d, from a point to a line is given by the absolute value of |Ax1 + By1 + C| divided by the square root of A squared plus B squared, where (x1, y1) are the coordinates of the point and the line equation can be written in the standard form as Ax + By + C = 0. In this case, A = 1, B = -1, C = 6 (because y - x = 6 can be re-written as y - x - 6 = 0). Plugging in the coordinates of point A and the values of A, B, and C into the formula, we get |1*(-9) + -1*(-3) + 6| divided by the square root of [tex](1)^2 + (-1)^2[/tex], which simplifies to |-6| divided by the square root of 2, or 6 divided by sqrt(2). Converted to a decimal and rounded down, this equals approximately 4.2 units. Therefore, the distance from the point to the line is 4.2 units, rounded to the nearest tenth.

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how do i solve the proportion 4/9=10/x

Answers

Answer:

x=45/2

Step-by-step explanation:

4/9=10/x

cross product

9*10=4*x

90=4x

x=90/4

simplify

x=45/2

Thomas rents a car for his vacation. The mileage include with the rental is 54 miles. For every mile he drives over 54 miles, he needs to pay $1 4/5. If he drives 69 miles, how much extra does he need to pay?

Answers

Answer:

Thomas needs to pay additional US$ 27 for the 15 extra miles not included in the mileage.

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Mileage included with the rental = 54 miles

Additional mile over 54 miles = US$ 1 4/5

Distance finally driven by Thomas = 69 miles

2. Let's calculate how much additional money Thomas needs to pay.

Extra miles driven by Thomas = Distance finally driven - Mileage included

Extra miles driven by Thomas = 69 - 54

Extra miles driven by Thomas = 15

Cost of the additional miles = 15 * 1 4/5

Cost of the additional miles = 15 * 1.80 ⇒ 4/5 = 0.80

Cost of the additional miles = 27

Thomas needs to pay additional US$ 27 for the 15 extra miles not included in the mileage.

Note: Same answer to question 14038906, answered by me.

Thomas borrowed 4800$ to buy a new car. He will be paying 96$ a each month for the next 60 months. Find the simple interest rate for his car loan.

Answers

Final answer:

The simple interest rate for Thomas' car loan is 3.33%.

Explanation:

To find the simple interest rate for Thomas' car loan, we need to use the formula for simple interest:

Simple Interest = Principal x Rate x Time

In this case, the principal (amount borrowed) is $4800 and the monthly payment is $96. The time is 60 months. We can rearrange the formula to solve for the rate:

Rate = Simple Interest / (Principal x Time)

Plugging in the values:

Rate = 96 / (4800 x 60) = 0.0003333

So, the simple interest rate for Thomas' car loan is 0.03333 or 3.33%.

I have a question about my homework is lesson 5-3 apply for percent A/B I need help on question 5

Answers

Answer:

Can you explain the question?

Step-by-step explanation:

Determine which of the following equations, when graphed, intersect at the point (4, 0).

Select all that apply.

- x - y = 4
x - y = 4
2 x + y = 7
2 x + y = -7
x + y = 4
2 x - y = 7

Answers

Answer:

x - y = 4

x + y = 4

Step-by-step explanation:

Substitute x=4 and y=0 in every equation. If both sides of the equal sign are equal, (LS=RS, left side equals right side) then the graph intersects at (4,0).

- x - y = 4

- (4) - 0 = 4

-4 = 4

LS≠RS

x - y = 4

4 - 0 = 4

4 = 4

LS=RS

2 x + y = 7

2(4) + 0 = 7

8 = 7

LS≠RS

2 x + y = -7

2(4) + 0 = -7

8 = -7

LS≠RS

x + y = 4

4 + 0 = 4

4 = 4

LS=RS

2 x - y = 7

2(4) - 0 = 7

8 - 0 = 7

8 = 7

LS≠RS

Only x - y = 4  and x + y = 4  intersect at (4, 0).

Answer:

B and E sorry not sooner

Step-by-step explanation:

What is 875 times 305

Answers

Answer: 266,875

Step-by-step explanation:

Just multiply 875 and 305 together

Answer:

The answer is 266,875

Step-by-step explanation:

You can get the answer by using a calculator or working it out by hand.

I have trigonometry pile up - puzzle one and i need help solving it

Answers

Answer:

do you have a picture

Step-by-step explanation:

Evaluate the expression. 7 x (33 - 18) need a anwser fast

Answers

The answer to your question is 105x

Answer:

105

Step-by-step explanation:

7(33-18)=7(15)=105

A company took a survey about its new project. I did the hundred people surveyed, 44 liked the new product. What percentage of the people surveyed like to the new product?

Answers

Answer:

The percentage people surveyed like to the new product is 44%.

Step-by-step explanation:

Given:

Company took a survey about its new project, hundred people surveyed, 44 liked the new product.

Now, to find the percentage of the people surveyed like to the new product:

People like new product / Total people surveyed × 100

[tex]\frac{44}{100}\times 100[/tex]

[tex]=0.44\times 100[/tex]

[tex]=44[/tex]

So, it is 44%

Therefore, the percentage people surveyed like to the new product is 44%.

if my grade is a 49.1 F and i get 90 points on a test what will my grade go to

Answers

Answer:

A I think

Step-by-step explanation:

49.1+ 90

Answer:

C

Step-by-step explanation:

Find the average of the two test scores.

(49.1 + 90)/2

139.1/2

69.55 ⇒ which is grade C

An international company has 16,300 employees in one country. If this represents 23.4% of the company’s employees, how many employees does it have in total? Round your answer to the nearest whole number.

Answers

Answer:

[tex]69,658\ employees[/tex]

Step-by-step explanation:

we know that

16,300 employees represent 23.4%

so

using proportion

Find out how many employees represent 100% (total employees of the company)

Let

x -----> total employees of the company

[tex]\frac{16,300}{23.4\%}=\frac{x}{100\%}\\\\x=16,300(100)/23.4\\\\x=69,658\ employees[/tex]

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