\frac{6\div \frac{3}{8}∙0.5}{1.44\div 4.5}

Given details in question are as follows :

Alonzo found three pieces of cable in his tool drawer.

Their lengths (in meters) are 16, 13.13, 9.7

The addition is a way of combining things and counting them together as one large group. Addition in math is a process of combining two or more numbers. Addends are the numbers added, and the result or the final answer we get after the process is called the sum.

The Sum of all the numbers in this question is 16+13.13+9.7

=38.83

Alonzo found three pieces of cable in his tool drawer, the total length of the three pieces is 38.83

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The information that is in question is as follows:

Three cables were located by Alonzo in his tool chest.

16, 13.13, and 9.7 meters are their lengths.

What does a math addition mean?

By combining objects, we can count them as a single huge group by adding them. In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.

16+13.13+9.7 is the total of all the numbers in this question.

=38.83

Alonzo discovered three cables totaling 38.83 inches in length in his tool drawer.

Answer:

The equation has one solution.

A value of x that makes the equation true is -3, which when substituted into the equation and simplified makes the equation turn into 18=18.

A value of x that makes the equation false is 0, which when substituted into the equation and simplified makes the equation turn into 0=18.

Step-by-step explanation:

Hope this helped! :)

Answer:

Step-by-step explanation:

The equation has one solution conditional equation

-6x = 18

-6x/-6 = 18/-6

x = -3

A value of x that makes the equation true is -3, which when substituted into the equation and simplified makes the equation turn into 18 = 18

-6x = 18

-6(-3) = 18

18 =18

A value of x that makes the equation false is 3, which when substituded into the equation and simplified makes the equation turn into -18 = 18

-6x = 18

--6(3) = 18

-18 = 18

The point (5, 3) is translated using the rule (x, y) ⇒ (x - 7.5, y + 6.8) to get the point (-2.5, 9.8)

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.

Translation is the movement of a point either up, down, left or right in the coordinate plane.

The point (5, 3) is translated using the rule (x, y) ⇒ (x - 7.5, y + 6.8) to get the point (-2.5, 9.8)

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Answer:

The answer is that there are 18 different combinations of vehicles.

Step-by-step explanation:

We are given that the number of vehicles for his business = 3.

The vehicles are a car, truck, and motorcycle.

So we know that there is two possibilities for car: Red and yellow.

Three possibilities for truck: Black, white, and silver.

Three possibilities for motorcycle: Green, blue and orange.

So now we can make an equation of the different combinations of vehicles that Edwin have to chose from.

So 3 x 3 x 2 = 18

Therefore, there are 18 different combinations of vehicles.

I hope this helps, have a good day!! :D

Fraction of the students are studying more than one hour each night is 17/24.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.

Total student in the class = 48

students studying less than 1 hour = 8

students that don't study at night = 6

students studying more than one hour a night = 48 - (8+6) = 34

fraction of the students studying more than one hour -

= 34/48

= 17 / 24

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Answer: 28

Step-by-step explanation:

5x + 8 = 7x

2x = 8

x = 4

BD = 7x

BD = 7(4)

      = 28

The value of x is -101001 using the base-2 system.

What is a binary number?

A binary number is a number that is expressed in the binary system or base 2 numeral system, according to digital technology and mathematics. It uses the symbols 1 and 0 to represent different numeric values (zero). The positional notation with 2 as a radix is known as the base-2 system.

Given:

1101₂+x₂+11001₂=111₂

To find the value of x.

First, we'll write the binary numbers and multiply each digit of the binary numbers by the corresponding power of two:

1101₂+x₂+11001₂=111₂

(1×2³+1×2²+0×2¹+1×2⁰) + x₂ + (1×2⁴+1×2³+0×2²+0×2¹+1×2⁰) = (1×2²+1×2¹+1×2⁰)

Now, solve the powers.

(8+4+0+1) + x₂ +(16+8+0+1) = (4+2+1)

Simplifying we get,

13+x₂+25=7

x₂=7-48

x₂=-41

Using binary converter, we get the value of x as -101001.

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Energy consumed equals 0.133 W/kg

What is energy?

Energy is described as the "capacity to accomplish work, which is the ability to apply a force that causes an object to move." Despite this perplexing terminology, the meaning is straightforward: energy is just the force that causes objects to move. Potential energy and kinetic energy are the two forms of energy.

Weight = 147 lb = 66.68 kg (since, 1 lb = 0.453 kg)
Energy consumed = 1.785 x 103 kcal/day
In Watts = 1.785 x 103 x 0.0484 = 8.9 W/day

Energy consumed watts per kilogram = 8.9/66.68 = 0.133 W/kg

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The object is dropped at a initial height of 99.4 feet. (Correct choice: B)

Herein we find the case of a specific object under free fall motion, that is, due to gravity and neglecting effects from air viscosity and Earth's rotation. The kinematic equation is presented below:

v = √(2 · a · h)          (1)

Where:

If we know that a = 32.2 ft / s² and v = 80 ft /s, then the initial height of the object is:

80 = √(2 · 32.2 · h)

80 = √(64.4 · h)

80² = 64.4 · h

h = 80² / 64.4

h =  99.379 ft

The object is dropped at a initial height of 99.4 feet. (Correct choice: B)

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Answer:

Step-by-step explanation:

you add all of that up and you get your answer then you subtract that answer to 100 then that’s your answer.

Answer:

First what you want to do is start with the socks.

Socks cost $9.00 so if he is buying 3 pair you would multiply by 3.

9 times 3 is 27. = $27

He bought 2 belts and the belts cost $10.00 so you would multiply that by 2.

10 times 2 is 20. = $20

He bought 1 hoodie which amounts to $29.99 and a pair of shoe laces that amounts to $1.50.

Now what you do is add all thew prices together.

$27 + $20 + $29.99 + $1.50 = $78.49

Final, since he is paying with a hundred dollar bill you want subtract that from the total amount.

$100 - #78.49 = $21.51

So he would get back a total of $21.51.

Step-by-step explanation:

Hope it helps! =D

The underlying assumption is that the observed difference is just the result of chance. It is feasible to determine the probability that the null hypothesis is correct using statistical testing.

The observed difference is thought to be the sole product of chance, which is the underlying premise. Statistical testing can be used to calculate the likelihood that the null hypothesis is true.

As part of hypothesis testing, the null hypothesis is a made-up assertion that is intended to see if it can be rejected. It is incorrect to draw the conclusion that a result supports the null hypothesis when it is not extreme enough to do so.

This is because the research hypothesis is true, but the result in the particular sample was not extreme enough to enable the null hypothesis to be rejected.

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The total number of losses is 14.

So, let the total number of lost and gains be 'x'.

Then, the expression:

Therefore, the total number of losses is 14.

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Answer: =−13 1/3

Step-by-step explanation:

Answer:

y=28x+0

Step-by-step explanation:

In each row of the table, y is 28 times the value of x.

The perimeter of the given figure is 56x.

So, perimeter: sum of all the sides

Then, according to the given figure:

Therefore, the perimeter of the given figure is 56x.

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The width of the picnic area in scale drawing is 91 inches.

The scale of the drawing was 13 inches : 6 yards.

The picnic area is 42 yards wide in real life.

The width of the picnic area in drawing is as follows:

Therefore,

6 yards = 13 inches

42 yards = ?

cross multiply

Hence,

width of the picnic in the scale drawing = 42 × 13 / 6

width of the picnic in the scale drawing = 546 / 6

width of the picnic in the scale drawing = 91

width of the picnic in the scale drawing = 91 inches

Therefore, the width of the picnic area in scale drawing is 91 inches.

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Based on the given information, the EFG GH Findings.

Refer to the symbols and their associated meanings below.

The symbols shown signify the following.

operations/relationships:

A+B denotes that A is bigger than B.

A-B indicates that A is less than B.

A is more than or equal to 8 when A=B.

A B denotes that A and B are not equal.

A = B is expressed as A/B.

based on the details offered?

Statements: EFG GH Findings

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The equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.

We know that the method to find the axis of the symmetry of the parabola is given by:

x = - b / 2 a

We have the general equation of the parabola as:

y = a x² + b x + c

We have the equation of the parabola as:

y = - 4 x² + 24 x - 35

Comparing from this equation, we get that:

a = - 4

b = 24

c = - 35

Now, substituting the values, we get that:

x = - 24 / 2 (- 4)

x = - 24 / - 8

x = 24 / 8

x = 3

Therefore, the equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.

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Answer:

y = 3x

Step-by-step explanation:

slope intercept form is y = mx + b with m as the slope and b as the y-intercept

to find the slope you can see where the line intersects at (1, 3) and (0,0) If you look at the graph you count up three spaces over one so the slope is 3

since the y-intercept intersects at (0,0) The y-intercept is 0 and you do not have to add that to the answer

Answer:

y=3x I think if not sorry

Step-by-step explanation:

have great evening,day,night,morning!

Answer:

19.625 units

Step-by-step explanation:

[tex]\text{ Arc length } = 2 \pi r \times \frac{\theta}{360}[/tex]

[tex]\begin{gathered}\text{Arc Length } = 2\times 3.14 \times 12.5 \times \frac{50}{360}\\\\\text{Arc length } = 78.5 \times \frac{1}{4}\\\\\text{Arc Length } = 19.625\end{gathered}[/tex]

Thus length of arc is 19.625 units

Answer:

1. 27669.1 g

2. 110 kg

The score the student must get on the next test to get a C average or better is 86.

From the information given the pass a course with a C grade, a student must have an average of 70 or greater and students grades on three test are 60,71, and 63.

The next score will be calculated as x.

60 + 71 + 63 + x = (70 × 4)

194 + x = 280

x = 280 - 194

x = 86

Therefore, the next score must be 96.

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The expression that represents the area of the given rectangle is: 2x² - 11x - 6.

The area of a rectangle is the product of its width and its length. A rectangle's area is calculated using the formula below:

Area = (length)(width)

Given the following:

Length of the rectangle = 2x + 1

Width of the rectangle = x - 6

Therefore, substituting these into the formula, we have:

Area of the rectangle = (2x + 1)(x - 6)

Area of the rectangle = 2x(x - 6) +1(x - 6)

Area of the rectangle = 2x² - 12x + x - 6

Combine like terms

Area of the rectangle = 2x² - 11x - 6

Therefore, the expression that represents the area of the given rectangle is: 2x² - 11x - 6.

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The maximum number of performers in each row so that all the rows are equal in length is C. 16.

It should be noted that there are 48 instruments and 32 flag bearers and only one type of performer can be in each row.

The maximum number of performers in each row so that all the rows are equal in length will be the highest common factor between both numbers.

It should be noted that the highest common factor between 32 and 48 is 16

Therefore the correct option is C.

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The value of 1 Cubic Foot is said to be 28316.85 Cubic Centimeters.

A cubic foot is a unit used to measure the volume of a cube with one foot-long sides. It is a unit to measure a unit volume and is symbolically represented as [tex]ft^{3}[/tex]. It is primarily used in the customary and imperial systems of measurement in the United States.

The volume of a cube with sides that are each one centimeter long is measured in cubic centimeters. It is a unit for measuring a unit volume that is symbolically represented as [tex]cm^{3}[/tex] and is typically used to measure lower volumes.

Conversation: The value of 1 cubic foot is approximately equal to 28316.85 cubic centimeters. So, to convert cubic feet to cubic meters, we have to multiply the given foot value by 28316.85 cubic centimeters.

Hence 1 Cubic Foot = 28316.85 Cubic Centimeters.

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Answer:

y/3 + 5 = 7

Step-by-step explanation:

Five more would mean plus five, and in these types of equations you work almost backwards. So if you but +5 in your answer, you need to add the quotient, dividing(/) by 3, and the unknown number is y. so your finial equation would read, y divided by 3 plus 5 is equal to 7 (y/3 + 5 = 7) Hope this was helpful!

Answer:

53.83 km.

Step-by-step explanation:

53.83 km.

give the person above me brainliest

The temperature at which the crickets do not chirp is represented by the number 38, which serves as the y-intercept of the linear equation.

The equation is as follows:

T = 38 + 0.3*c

The temperature is denoted by T, while the number of chirps in a minute is denoted by c.

We want to know what the number 38 means.

Take c = 0 to demonstrate this as there are no chirps.

Then:

T = 38 + 0.33*0 = 38

T = 38

This is the temperature where crickets cease to chirp.

The temperature at which the crickets do not chirp is represented by the number 38, which is the y-intercept of the linear equation.

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