A rectangle has a length of ( + ) and a width of ( − ). Determine the expression that represents the area of this rectangle.

Answer:

Step-by-step explanation:

Let's call the number of boys "b" and the number of girls "g". From the ratio, we know that b/g = 11/9.

Also, we know that b = g + 124, so we can substitute the second equation into the first:

b/g = 11/9

b = g + 124

g + 124 / g = 11/9

Cross multiply:

9g + 1112 = 11g

Solve for g:

-2g = -1112

g = 556

So there are 556 girls and 556 + 124 = 680 boys at the school.

The total number of students at the school is 556 + 680 = 1236.

Lauren was 13 miles away from the restaurant when Aidan reached it.

Travel refers to the act of moving from one place to another, often over a distance or by means of transportation.

Lauren and Aidan both left their offices at 6:15 P.M. and traveled for 20 minutes (from 6:15 P.M. to 6:35 P.M.) before Aidan arrived at the restaurant. During this time, Lauren traveled at a speed of 39 miles per hour, so she covered a distance of:

distance = speed x time

distance = 39 miles/hour x (20 minutes / 60 minutes/hour) = 13 miles

After 20 minutes, Aidan arrived at the restaurant, having traveled for 20 minutes at a speed of 42 miles per hour. The distance he covered during this time is:

distance = speed x time

distance = 42 miles/hour x (20 minutes / 60 minutes/hour) = 14 miles

Since they both traveled the same distance to the restaurant, but Aidan arrived there first, Lauren must have been 1 mile behind him when he arrived at the restaurant.

Therefore, Lauren was 14 - 1 = 13 miles away from the restaurant when Aidan reached it.

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Answer:

$19.29

Step-by-step explanation:

We know

Marisol buys a souvenir cup for $14.97 and a book of postcards for $4.32.

How much does Marisol spend?

14.97 + 4.32 = $19.29

So. Marisol spend $19.29

Answer: We know that the volume of a cuboid is given by the product of its length, width and height, or V = l * w * h. In this case, the length is 250 cm and the height and width are both x cm. So, the volume can be written as:

V = 250 * x * x

Substituting the given value of V = 4840 cm³, we get:

4840 = 250 * x * x

Dividing both sides by 250, we get:

19.36 = x * x

Taking the square root of both sides, we get:

x = ±√19.36

Since the side length of a square must be positive, we use the positive square root:

x = ±4.4 cm

Therefore, the side length of the square cross-section is 4.4 cm.

Step-by-step explanation:

The necessary equation is [tex]L= 52+2D[/tex], and the necessary overall length is [tex]114 miles[/tex].

Given: A road is being extended by construction workers. The road already had a length of miles, and the crew is continuously extending it by miles. Let the number of days the crew has worked and the distance of the entire road (in miles) be represented by D and L respectively. Create a corresponding equation L to D.

According to the inquiry,

The road's initial length is 52 miles.

The daily length of roadways that a crew adds is 2 miles.

This number represents the number of days the crew worked.

The total length of the road that the crew built is represented by L.

A given condition-based equation can be written as [tex]L= 52+2D[/tex].

Now, the crew's total length of the road after 31 days of construction is calculated.

[tex]L= 52+2*31\\L=52+62\\L=114 miles[/tex]

As a result, the needed equation and the total length is [tex]L= 52+2D[/tex]  and 114 miles respectively.

The complete question is:-

A construction crew is lengthening a road. The road started with a length of 52 miles, and the crew is adding 2 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D . Then use this equation to find the total length of the road after the crew has worked 31 days.

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The solution is, (-1, -7), (0, -4), (1, -1), satisfies the graph function, the coordinates did we plot when we graphed the function y = 3x - 4

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

we graphed the function y = 3x - 4

now, the required coordinates are, which satisfies the graph function.

as, we get,

(-1, -7), satisfies the graph function

(0, -4) , satisfies the graph function

(1, -1), satisfies the graph function

Hence, The solution is, (-1, -7), (0, -4), (1, -1), satisfies the graph function, the coordinates did we plot when we graphed the function y = 3x - 4

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Step-by-step explanation:

the radius of the circular base is 7/2=3.5 cm

the surface of the base is πr^2=π*(3.5)^2=38.465

volume of the cylinder is surface of the base*high

38.465*30=1153.95

the cuboid volume=8^2*x=64x

64x=1153.95

x=1153.95/65=18.03 cm=18 cm

Let's call the length of the longer rope piece x and the length of the shorter rope piece y. We know that:

x + y = 5 (the total length of the rope is 5 feet)

And from the problem statement, we have:

3x - 7 = 5y

Now we can use the first equation to solve for y:

y = 5 - x

Substituting this expression for y into the second equation:

3x - 7 = 5(5 - x)

Expanding the right side:

3x - 7 = 25 - 5x

Adding 5x to both sides:

8x - 7 = 25

Adding 7 to both sides:

8x = 32

Dividing both sides by 8:

x = 4

So the length of the longer rope piece is 4 feet.

The measure of arc FE in the figure is 100 degrees

From the question, we have the following parameters that can be used in our computation:

The circle and the intersecting chords

The value of arc FE represented by x is then calculated as

80 = 1/2(x + 60)

Cross multiply the equation

This gives

x + 60 = 160

Subtract 60 from both sides

x = 100

Hence, the measure of x is 100 degrees

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Answer:

x=-7/2 (exact form)

x=-3.5 (decimal form)

x=-3 1/2 (mixed number form)

Step-by-step explanation: :)

Answer:

Step-by-step explanation:

I just did this q. today at school but Imn't in a mood to write whole steps but.
x=4 and QPR= 102

the equation I used:
[tex]26x-2=\frac{1}{2} (131+18x+1)[/tex]

Answer:

36

Step-by-step explanation:

First you have to do 17.60 minus the fee ($5) giving you 12.6

after that you want to X the .35 by 36 which will make you reach 12.6

so by that it is 36 miles X the .35 Per mile fee giving you 36 miles (sorry if that made no sense)

The length of the ramp that must cover the horizontal distance is 13.13 feet.

Given the data in the question, this forms a right-triangle.

To solve for the length of the ramp, we use  trigonometric ratio

Cosine = Adjacent / Hypotenuse

Plug in the values

cos( 8° ) = 13ft / hypotenuse

Hypotenuse = 13ft / cos( 8° )

Hypotenuse = 13.13 ft

Therefore, the ramp's length is 13.13 ft.

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Part(a), An inequality to show the number of additional minutes required to get at least 80% battery life will be 3m + 40 ≤ 80.

Part(b) The number of minutes will be 13 minutes and 20 seconds.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

Given that according to a survey, students often have 40% of their cell phone batteries left at the end of the school day when utilizing the newest fast charger, which charges phones at a pace of 3% per minute.

Part(a) The inequality can be written as:-

3m + 40 ≤ 80.

Part(b), The number of minutes will be:-

3m + 40 ≤ 80.

3m ≤ 40

m ≤ 40 / 3

m ≤ 13.33

The time can also be written as 13 minutes and 20 seconds.

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Answer: D, 25

Step-by-step explanation:

A parallelogram is 360 degrees, and every angle appears twice, so we can set up an equation to solve for the missing variable.

[tex]360 = 2(65) + 2(5y)[/tex]

Multiplying each angle by two shows that each angle appears twice in the shape, and once we multiply the values, we can simplify the equation to:

[tex]360-130=10y[/tex]

360 - 130 is 230, so divide both sides by 10 and you get 23 as the answer.

The valid names for the given triangle are options:

B.  ΔMLZ

D.  ΔLMZ

E. ΔZML

A triangle is a two-dimensional shape that is formed by three line segments that are connected end-to-end. It is a fundamental shape in geometry, and its properties and uses are numerous.

Therefore, The triangle in the picture has three vertices labeled L, M, and Z. To name the triangle, we use the labels of the vertices and write them in capital letters. It doesn't matter which vertex we start with, as long as we keep the letters in order as we go around the triangle. So, the names for the triangle in the image can be : ΔLMZ, ΔLZM, ΔMLZ, ΔMZL, ΔZLM, and ΔZML.

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Answer:

bro do u have a pic i will give u your points back but i need a pic to help

Step-by-step explanation:

There are a total of 477 athletes after the 9 new teams with 6 athletes on each team were added.

If there were 423 athletes at the volleyball tournament and 9 teams with 6 athletes each were added, we can calculate the total number of athletes as follows:

Number of athletes at the tournament: 423

Number of athletes in each new team: 6

Number of new teams: 9

The total number of new athletes is the product of the number of new teams and the number of athletes in each new team:

Total number of new athletes = 9 x 6 = 54

To find the total number of athletes after the new teams were added, we add the number of athletes at the tournament to the total number of new athletes:

Total number of athletes = 423 + 54 = 477

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Complete question is:

There are 423 athletes at the volleyball tournament another 9 teams were added with 6 athletes on each team. How many total atheletes are present?

The perimeter of the triangle is

The perimeter of the triangle is sum of the length of the sides

The sides are solved as follows using trigonometry relations

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

Solving for NM using tan

tan 59 = 5 / NM

NM = 5 / tan 59 = 3

Solving for LN

sin 59 = 5 /LN

LN = 5 / sin 59 = 5.83

The perimeter of the triangle

= 5.83 + 5 + 3

= 13.82 in

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Answer:

6

Step-by-step explanation:

12 is the full length. point E marks 1/2 of the line. 12-6=6

if it's asking the length of d-e, then the answer is (6) because the entire length of line is twelve and in the top line e-f in 6 and 6-12=6

Answer: The least number that can be made using each digit exactly once is 123456789. The value of 4 is greater than the value of 6 because in the decimal system (base 10), the position of a digit determines its value. The leftmost digit represents the greatest place value (ones, tens, hundreds, etc.) and each subsequent digit represents a smaller place value. In the number 123456789, the 4 is in the thousands place, which has a greater value than the 6, which is in the tens place.

Therefore, the 4 has a greater value than the 6 because it represents a larger place value.

Step-by-step explanation:

Answer:

median = 95

Step-by-step explanation:

the median is indicated by the line inside the box.

each interval on the number line is 5 units.

median = 75 + 4 units = 75 + 20 = 95

Answer:

Step-by-step explanation:

22.9

Answer:

I have graphed it and attached it in the explanation part.

Step-by-step explanation:

In order to achieve an 80% gross margin, the store would need to sell the battery chargers for $50 each - A

The gross margin is the difference between the selling price and the cost of the item, expressed as a percentage of the selling price. To achieve an 80% gross margin, we need to set the selling price such that 80% of it represents the profit on the item.

Let's call the selling price of the battery charger S. The profit on the item is S - $10, since that is the cost of the item. So, to achieve an 80% gross margin, we want:

(S - $10) / S = 0.80

Expanding and solving for S:

S - $10 = 0.80S

0.20S = $10

S = $50

So, in order to achieve an 80% gross margin, the store would need to sell the battery chargers for $50 each. That would be the sticker price for the chargers.

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Tina pays 0.7p more than Amy when buying the coffee.

The two main arithmetic operations that we learn to add and subtract two or more integers or other mathematical values are addition and subtraction. Division and multiplication are the other two fundamental mathematical operations. The addition symbol is the plus sign (+), and the subtraction symbol is the minus sign (-). (minus sign).

Given that,

Amy gets 15p change from £2. The price of the coffee is:

A = 2 - 0.15

A = 1.85

Tina gets £2.45 change from £5. The price of the coffee is:

T = 5 - 2.45

T = 2.55

The difference in the cost of the coffee is:

T - A = 2.55 - 1.85 = 0.7

Hence, Tina pays 0.7p more than Amy when buying the coffee.

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The line of the best fit of the scatter plot is added as an attachment

The missing graph is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The graph

A good line of best fit would have equal number of points on either sides

To plot the graph, we draw a line that divides the points on the graph evenly

This line when drawn on the scattered points divided the points approximately evenly

Hence, the line of the best fit is attached

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