If the measures of two sides of a triangle are 3 feet and 7 feet which is the least possible whole number measure for the third side

Answer:

1/6 or 0.16666... can be written rounding off to three decimal digits such as:

Step-by-step explanation:

As we know that

[tex]1\div 6\:=\:0.16666\dots \:[/tex]

In order to round off three decimal places (or digits ), we need to check:

Therefore, 1/6 or 0.16666... can be written rounding off to three decimal digits such as:

The fraction 1/6 expressed as a decimal number is 0.167

Fractions are expressed as the ratio of two integers. For example, a/b is a fraction where a and b are integers

Given the fraction 1/6, we are to express it as a decimal.

First, we can express it as a percentage as shown:

1/6 * 100 = 100/6

1/6 = 16.7%

Expressing as a decimal number

16.7% = 0.167

Hence the fraction 1/6 expressed as a decimal number is 0.167

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Answer:

[tex]-2t^2+ 6t -1 > 0[/tex]

Step-by-step explanation:

Function Modeling

The height h in feet of the stick threw by Tim is modeled by the function:

[tex]h = -16t^2+ 48t[/tex]

where t is the time in seconds.

It's required to write an inequality that can be used to find the interval of time in which the stick reaches a height of more than 8 feet, i.e. h > 8.

Using the given model, we write the inequality:

[tex]-16t^2+ 48t > 8[/tex]

Dividing by 8

[tex]-2t^2+ 6t > 1[/tex]

Subtracting 1, we get the required inequality:

[tex]\mathbf{-2t^2+ 6t -1 > 0}[/tex]

Answer:

you want more than 8 feet so the answer would be -16t^2+48t>8

Step-by-step explanation:

h=-16t^2+48t

-16t62+48t>8

-16t^2+48t=8

divide both sides of the equal sighn by 8

-2t^2+6t=1

put the symbol back in

-2t^2+6t>1

substitute a random mumber for t

-2(5)^2+6(5)>1

-10^2+30>1

subtract 30 from both sides

100>-29

state is true so -16t62+48t>8 is the correct answer

Answer:

heart shaped candle

Step-by-step explanation:

the flower shaped candle has more wax so the first one.

Hope this helps :D

It will take 7 minutes and 30 seconds to melt at a temperature of 40°C.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, The amount of time it takes an ice cube to melt varies inversely to the air temperature this can be written as,

Time ∝ 1/(Temparature).

Time = K(1/Temp).

At 30 degrees Celsius, the ice will melt in 10 minutes.

10 = K(1/30).

K = 300.

Now, the time required to melt the ice at 40°C is,

Time = 300(1/40).

Time = 7.5 minutes or 7 minutes 30 seconds.

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Answer:

[tex]m=-1[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, -2)

Point (-2, 0)

Step 2: Find slope m

And we have our final answer!

Answer:

-1

Step-by-step explanation:

Answer:

$40

Step-by-step explanation:

You find the LCM (least common multiple). To do this, you can use prime factorization.

(there is an below that shows the prime factorization tree for 8 and 10)

so, the only common prime factor is 2. you use the 2 and multiply with the remaining prime factors.

5*2 --> for 10

2*2*2 -->for 8

becomes

5*2*2*2

if you multiply that out, it becomes 40.

Another method is to just think: "What can they both become after being multiplied by a number?"  or "What can 8 and 10 both be?"

Anyway, the answer is 40. Hope this helps!

Answer:

19.2

Step-by-step explanation:

Cross multiply to get 96=5n

n=19.2

Answer:

n= 96/5 or 19.2 or 19 1/5

Step-by-step explanation:

Answer:

x>3

y≥2x-5

Step-by-step explanation:

graph them

Answer:

[tex]y= 2x + 4[/tex]

Step-by-step explanation:

We are given an equation of [tex]2x-y+3 =-1[/tex] and we need to put into [tex]y = mx+b[/tex] form.

First, we subtract 3 on both sides to get the variables all on one side.

[tex]2x-y+(3 - 3)=(-1 -3)\\\\[/tex]

[tex]2x-y = -4[/tex]

We need to now isolate y on its own so we subtract [tex]2x[/tex] on both sides.

[tex](2x-2x)-y=(-4-2x)[/tex]

[tex]-y=-2x-4[/tex]

We almost done! We then need to divide the invisible negative on both sides which is a -1.

[tex]\frac{-y}{-1}=\frac{-2x-4}{-1}[/tex]

[tex]y=2x+4[/tex]

When we divide the the negatives together, we know that two negatives divided together is a positive. Therefore, we get our answer [tex]y=2x+4[/tex]

Hoped this helped!

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

Answer:

Both angles have a measure of 134degrees, y = 27degrees.

Step-by-step explanation:

As per what is given in the problem:

There are 2 parallel lines, both are intersected by a transversal.

Remember the theorem, when two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.

The is meanse that:

3y + 53 = 7y - 55

Solve using inverse operations:

3y + 53 = 7y - 55

     +55         +55

3y + 108 = 7y

-3y            -3y

108 = 4y

/4      /4

27 = y

Now, substitute back in to find the value of the angle:

3y + 53

y = 27

3 ( 27 ) + 53

81 + 53

= 134

Since the angles are alternate exterior, they are congruent, hence both angles have a measure of 134degrees.

Answer:

Step-by-step explanation:

Y= -6

X=-2

Answer:

d

Step-by-step explanation:

Answer:

g(7) = 4

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

What g(7) is saying is that we are trying to find the y-value when x = 7. According to the graph, when x = 7, y would equal 4. Therefore, g(7) = 4 and our coordinate would be (7, 4).

You need to know that g(7) means that x = 7. Look at the graph. When x is 7, what is the value of y?

The point (7,4) indicates that g(7) = 4.

Answer:

x=28.5 or 28 1/2

Step-by-step explanation:

Answer:

x= 57/2

Step-by-step explanation:

Answer:

F) The rates are not equivalent.

Step-by-step explanation:

Consider the rates 45 mile in 8 minutes and 4 minutes to travel 25 mile. Select the statement(s) that are true. Multiple select question.

We find the unit rates

a) 45 mile in 8 minutes , we find the unit rate in miles per minute

8 minutes = 45 miles

1 minute = x

8 × x = 45 miles × 1 minute

x = 45 miles/8 minutes

x = 5.625 miles/ minute

b) 4 minutes to travel 25 miles. Find the unit rate is minutes per mile

25 miles = 4 minutes

1 mile = x

25miles × x = 4 minutes × 1

x = 4 minutes/25 miles

x = 0.16 minutes/mile

Hence, the correct option is

F) The rates are not equivalent.

Answer:

7% of 150= 10.5 :)

Step-by-step explanation:

150/x=100/7

(150/x)*x=(100/7)*x       - we multiply both sides of the equation by x

150=14.2857142857*x       - we divide both sides of the equation by (14.2857142857) to get x

150/14.2857142857=x

10.5=x

x=10.5

now we have:

7% of 150=10.5

Let g(n) = y

We then have y = -n + 3.

Exchange y and n.

n = -y + 3

Solve for y.

n - 3 = -y

(n - 3)/(-1) = -y/(-1)

-(n - 3) = y

Replace y with g^(-1) n.

-(n - 3) = g^(-1) n

Answer:

x=k/y

w=k/t

5=k/√49

5=k/7

k=5×7

k=35

Answer: It’s C

Step-by-step explanation: 5-12-2=-9 and then the 11 stays

Answer:

Area of triangle ABC = 10

Option C is correct.

Step-by-step explanation:

We need to find area of triangle ABC

We are given A(2,1) B(4,7) and C(6,3)

The formula used to find [tex]Area \ of \ triangle=\frac{1}{2}base\times height[/tex] ABC is:

In the given triangle base= AC and height = BC

First we need to find the distance between A and C and B and C

The formula used to find distance between AC [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have [tex]x_1=2, y_1=1, x_2=6, y_2=3[/tex]

Putting values and finding distance

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-2)^2+(3-1)^2}\\Distance=\sqrt{(4)^2+(2)^2}\\Distance=\sqrt{16+4}\\Distance=\sqrt{20}[/tex]

find distance between BC [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have [tex]x_1=4, y_1=7, x_2=6, y_2=3[/tex]

Putting values and finding distance

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-4)^2+(3-7)^2}\\Distance=\sqrt{(2)^2+(4)^2}\\Distance=\sqrt{4+16}\\Distance=\sqrt{20}[/tex]

So, We have height = [tex]\sqrt{20}[/tex] and base = [tex]\sqrt{20}[/tex]

Finding area of triangle

[tex]Area \ of \ triangle=\frac{1}{2}base\times height\\Area \ of \ triangle=\frac{1}{2}\sqrt{20} \times \sqrt{20} \\Area \ of \ triangle=\frac{1}{2}\times 20\\Area \ of \ triangle=10[/tex]

So, Area of triangle ABC = 10

Option C is correct.

Answer:

1 solution

Step-by-step explanation:

You can solve these equations by using substitution. y = 3x+4, so 3y-6x=2 can also be written as 3(3x+4)-6x = 2 if you plug in the y value in the second equation. Then, simplify and you will get your x answer. If you plug that into the first equation, you will get your y answer.

Answer: 1, 2, 5

Step-by-step explanation: Move the decimal two times to the left if you divide by 100.

Answer:

Step-by-step explanation:

if 45x-b is an equation then b value is the y coordinate of y-intercept (where graph touches the y axis)

Answer:

The equation of the line that passes through the point (3,-3) and has a slope of 0 will be:

[tex]0=y+3[/tex]

Step-by-step explanation:

The point-slope form of the equation of a line is:

[tex]\:y\:-\:y_1\:=\:m\left(x-x_1\right)[/tex]

where

As the slope is [tex]m=0[/tex], and the point is [tex](3,-3)[/tex]

so

Equation of the line will be:

[tex]\:y\:-\:y_1\:=\:m\left(x-x_1\right)[/tex]

[tex]y\:-\:\left(-3\right)\:=\:0\left(x-3\right)[/tex]

Further simplifying

[tex]0=y-\left(-3\right)[/tex]

[tex]0=y+3[/tex]

Therefore, the equation of the line that passes through the point (3,-3) and has a slope of 0 will be:

[tex]0=y+3[/tex]