0 1 2 3 4 5 6 7 8 9 10Between what two whole numbers would 68 fall on the number line above? 8 and 9 6 and 79 and 107 and 8

Answer:

1/2x+7

Step-by-step explanation:

seven more than half of a number is  (x/2) + 7.

The correct option is (C).

Algebra, a discipline of mathematics where abstract symbols rather than concrete numbers are subjected to arithmetic operations and formal transformations. The idea that there is such a separate branch of mathematics, as well as the term algebra to identify it, came about gradually through time. tries to find solutions to equations that contain one or more unknown quantities. Although early mathematicians would not have been familiar with such a concept, the word "equation" is frequently employed to conveniently represent these operations when discussing the early history of algebra.

We have to find an algebraic expression which represents the phrase "seven more than half of a number".

Consider a number x,

half of x = (x/2)

seven more than half = (x/2) + 7

Hence, seven more than half of a number is  (x/2) + 7.

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The area of the shaded region in the specified figure of the square containing a circle is 21.5 m², which is the first option

A square is a quadrilateral with all sides of the same length and four interior angles which are right angles.

The figure is a composite figure comprising of a square and a circle

The radius of the circle, r = 5 meters

The side length of the square = 10 meters

The value of π = 3.14

The area of the square = 10 m × 10 m = 100 m²

The area of the circle = π × (5 m)² = 25·π m²

The area of the shaded region is the difference between the area of the square and the area of the circle, therefore;

The area of the shaded region = (100 - 25·π) m²

The area of the shaded region is therefore; (100 - 25 × 3.14) m² = 21.5 m²

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The rear windshield wiper of a car rotated 120 degrees, as shown in the figure. The area cleared by the wiper blade is approximately 205.875 square inches.

The problem states that a car’s rear windshield wiper rotates 120 degrees, as shown in the figure. Our aim is to find the area cleared by the wiper.

The wiper's arm is represented by a line segment and has a length of 14 inches.

The wiper's blade is perpendicular to the arm and has a length of 25 inches.

Angular degree measure indicates how far around a central point an object has traveled, relative to a complete circle. A full circle is 360 degrees, and 120 degrees is a third of that.

As a result, the area cleared by the wiper blade is the sector of a circle with radius 25 inches and central angle 120 degrees.

The formula for calculating the area of a sector of a circle is: A = (θ/360)πr², where A is the area of the sector, θ is the central angle of the sector, π is the mathematical constant pi (3.14), and r is the radius of the circle.

In this situation, the sector's central angle θ is 120 degrees, the radius r is 25 inches, and π is a constant of 3.14.A = (120/360) x 3.14 x 25²= 0.33 x 3.14 x 625= 205.875 square inches, rounded to the nearest thousandth.

Therefore, the area cleared by the wiper blade is approximately 205.875 square inches.

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Answer:

11

Step-by-step explanation:

we know this because there are 5 people saying they have 3 and 6 people saying they have between 4-7

Using percentage Craig will be paid $ 96.

Percentage is a ratio out of 100.

Since Craig is a telemarketer. He sold $960 of merchandise. If Craig’s commission is 10%, we need to find out how much he be paid.

Since he has $960 merchandise and 10% of the merchandise is. Then, the amount he is paid is T = percentage × total amount of merchandise

Since the percentage commission = 10% and amount of merchandise = $ 960

Then the amount paid , T = percentage × total amount of merchandise

= 10 % × 960

= 10/100 × $ 960

= 0.1 × $ 960

= $ 96

So, he will be paid $ 96.

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Answer: 1680ml

Step-by-step explanation:

1000 mL are in 1 L, so with that logic

1=1000

.68=680

1000+680=1680

The monetary policy that the Central Bank is using to address the downturn in the economy is the reduction of the reserve requirement from 17% t 14%.

It should be noted that the monetary policy is the set of actions to control money supply in the economy.

The macroeconomic issues resulting from the pandemic on Trinidad and Tobago are that there are less money in circulation and there's a reduction in the standard of living.

The reduction of the reserve requirement will impact the money supply as it will lead to more money in circulation.

Complete question:

1. What form of monetary policy can the Central Bank use to address the downturn in the economy resulting from the pandemic?

2. Identity and explain two macroeconomic issues resulting from the pandemic on Trinidad and Tobago.

3. Identify how the reserve requirement will impact the money supply.

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So the "back" of the arrow is on/above -20.

The arrow points to -12.

You added something to -20 to get to -12.

So the first number is -20. You added ? to get -12. -12 is the last number / the answer to the equation.

So the equation from what you have so far is -20 + ? = -12

You need to isolate the ? so that you know what it is.

So to get rid of the -20 (make it 0), you have to add 20. -20 plus 20 equals 0, which basically means it is gone. You also have to add 20 to -12. 20 plus -12 equals 8.

Now the equation is ? = 8.

So you know that the second number is 8.

The equation makes sense; -20 + 8 = -12.

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1. 15/4 written as a decimal is 3.75

2. 5/6 written as a decimal is 0.83(repeating 3)

3. 11/3 written as a decimal is 3.6(repeating 6)

From the question, we are to write each fraction as a decimal

1. 15/4

  3.75

4)15.00

 -12  

    3.0

   -28  

       20

      -20  

          0

15/4 written as a decimal is 3.75

2. 5/6

  0.833

6)5.00

 -48  

    20

   -18  

       20

      -18  

          2

5/6 written as a decimal is 0.83(repeating 3)

3. 11/3

  3.66

3)11.00

 - 9  

    20

   -18  

      20

      -18  

         2

11/3 written as a decimal is 3.6(repeating 6)

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The correct answer is, by choosing a = -2 and b = 1, we satisfy both inequalities .a < b:

To make both inequalities true, we need to select values for a and b that satisfy the given conditions:

a < b: This inequality means that the value of a should be less than the value of b.

|b| < |a|: This inequality means that the absolute value of b should be less than the absolute value of a.

One possible solution that satisfies both conditions is:

a = -2

b = 1

With these values, we have:

-2 < 1 (a < b)

|-1| < |2| (|b| < |a|)

Therefore, by choosing a = -2 and b = 1, we satisfy both inequalities.a < b:

This inequality states that the value of a should be less than the value of b. In other words, a needs to be positioned to the left of b on the number line. To satisfy this condition, we can choose a to be any number that is less than b. In the example I provided, a = -2 and b = 1, we can see that -2 is indeed less than 1, fulfilling the requirement.

|b| < |a|:

This inequality involves the absolute values of a and b. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value. The inequality states that the absolute value of b should be less than the absolute value of a. To satisfy this condition, we can choose b to be any number with a smaller absolute value than a. In the example I provided, |1| is less than |(-2)|, as 1 is closer to zero than -2, fulfilling the requirement.

By selecting a = -2 and b = 1, we satisfy both inequalities: a < b and |b| < |a|. The specific values of -2 and 1 were chosen as an example, but there are multiple other values that would also satisfy the given conditions. The important aspect is that a is indeed less than b, and the absolute value of b is smaller than the absolute value of a.

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The given information is the scale of the drawing which is 1:40. It means if an object measures 1 inch length in the drawing, would measure 40 inches in the real life.

Then, to find the area of the room, first we need to multiply each of the dimensions by 40:

Then, the room has dimensions 240 inches by 160 inches.

To find the area in square feet we need to apply the conversion factor. 12 inches are equal to 1 foot. Then:

The area of a rectangle is given by the formula:

The area of the room is 266.7 square feet.

Answer:

y = 16x^5

Step-by-step explanation:

\(3(x - 8) - 13x(x - 8) + 3 = 0 \\ 3x - 24 - 13 {x}^{2} + 104x + 3 = 0 \\ - 13 {x}^{2} + 107x - 21 = 0 \\ x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a } \\ a = - 13 \\ b = 107 \\ c = - 21 \\ x = \frac{ - 107 + - \sqrt{ {107}^{2} - 4(13)( - 21)} }{2( - 13)} \\ x1 = \frac{107 - \sqrt{10357} }{26} \\ x2 = \frac{107 + \sqrt{10357} }{26} \)

Hope it helps

Please give brainliest

Answer:

290

Step-by-step explanation:

(11*8)*2=176, (11*3)*2=66, (3*8)*2=48, 48+176+66= 290

Answer:

2w=c 2 times each week so 2 times how many weeks

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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Answer:

32

Step-by-step explanation:

Imagine someone is trying to put tiles on a bathroom floor - this is the situation in this question. "tiles needed to fit across the length" is asking how many 25cm tiles can fit in the length of the bathroom, which is 8m.

To do this, we need to do some conversion.

8m to cm = 800cm

800 ÷ 25 = 32

This means 32 tiles are needed to fit across the length of the bathroom floor.

-

Hope this makes sense!

- profparis

Answer:

2. kilograms

Step-by-step explanation:

Answer: The length of the prism is 8 yards

Step-by-step explanation:

First, take the volume of the prism, divide it by the width (2 1/2). Once you get that divide that answer by height (5 3/4) getting you the length of the prism (8 yards)

The required area of the lune is (D) √3/4 - π/24.

The measurement that expresses the size of a region on a flat or curved surface is termed area.

Surface refers to the area of a surface or the boundary of a tri structure, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

So,

The lune's area is equal to the smaller semicircle's area minus the segment's area.

The area of the segment is equal to the sum of the areas of the sector and the triangle formed by the intersection points and the larger semicircle's center.

Additionally, because all of the sides are one unit, the triangle thus constructed is an equilateral triangle.

Area of the lune = π * 1/8 (60/360 * π * 1² - √3/4 * 1²)

Area of the lune = π/8 - π/6 + √3/4

= √3/4 - π/24

Therefore, the required area of the lune is (D) √3/4 - π/24.

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Answer:

9.6

Step-by-step explanation:

:)

The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

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i) 4 more gallons of petrol will be needed to complete the journey.

ii) The cost of the petrol for the 420 km journey is GH¢55.00.

i) To determine the number of gallons of petrol needed to complete the journey, we can calculate the total distance that can be covered with the available petrol and then subtract it from the total distance of the journey.

Given that the car consumes 1 gallon of petrol for every 30 km, we can calculate the distance that can be covered with 10 gallons of petrol by multiplying 10 (gallons) by 30 (km/gallon):

Distance covered with 10 gallons = 10 * 30 = 300 km

To find the remaining distance that needs to be covered, we subtract the distance covered with the available petrol from the total distance of the journey:

Remaining distance = Total distance - Distance covered with available petrol

Remaining distance = 420 km - 300 km = 120 km

Since the car consumes 1 gallon of petrol for every 30 km, we can determine the additional gallons of petrol needed by dividing the remaining distance by 30:

Additional gallons needed = Remaining distance / 30 = 120 km / 30 km/gallon = 4 gallons

Therefore, the driver will need 4 more gallons of petrol to complete the journey.

ii) To calculate the cost of the petrol for the journey of 420 km, we need to multiply the total number of gallons used for the journey by the cost per gallon.

Given that a gallon of petrol costs GH¢5.50, and the total number of gallons used for the journey is 10 (given in the problem), we can calculate the cost using the formula:

Cost of petrol = Total gallons used * Cost per gallon

Cost of petrol = 10 gallons * GH¢5.50/gallon = GH¢55.00

Therefore, the cost of the petrol for the journey of 420 km is GH¢55.00.

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Answer:

28

Step-by-step explanation:  

All you have to do is to plug the number that is in parentheses -> f(x), in this case, is 19 therefore all you really had to do is to plug 19 into the equation and then solve.

Answer:

Solutions given;

Using cosine rule

b²=a²+c²-2*a*c*cos B°

b²=15²+8²-2*15*8*cos39

b²=102.48

b=\( \sqrt{102.48} \)

b=10.12

b=10.1

Using sine rule

\( \frac{sin A}{BC} = \frac{sin B}{AC} =\frac{sin C}{AB} \)

\( \frac{sin 29°}{15} =\frac{sin C}{8} \)

Doing criss cross multiplication

Sin C=\( \frac{sin 29°}{15} ×8\)

m<C=Sin -¹(0.29)

m<C=14.98

m<C=15°is a required answer.

Answer:

there are 25 students on 5 teams find an equivalent rate

Step-by-step explanation:

5 in each group because 5x5 = 25.

Answer:

5 students per group

Step-by-step explanation:

25 students divided into 5 groups makes equal students in each group. That would make it equivalent.

Answer:

80 - 66 = 14

Step-by-step explanation:

I have an assignment with this question

Answer:

B (1, 1),(3, 9), (7, 49)

Step-by-step explanation:

Given function:

Let's verify which set of pairs are same with the given function:

A....................

B....................

C....................

D....................