What is the value of x

Answer:

(4×n)-2<30

Step-by-step explanation:

4xn is 4 times a number

two less= -2

LESS THAN 30, is <

The inequality used to find the solution of the given statement is 4x - 2 < 30 to get the solution as x < 8.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given statement is that two less than four times a number is less than thirty.

Let the unknown number be x.

Four times a number is 4x.

Two less than four times a number is 4x - 2.

Two less than four times a number is less than thirty is 4x - 2 < 30.

4x - 2 < 30

Adding both sides with 2,

4x < 32

Dividing both sides by 4,

x < 8

Hence the required solution can be found by solving the inequality 4x - 2 < 30 and the solution is x < 8.

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Answer:

[tex]6,157.5ft^3[/tex]

Step-by-step explanation:

We are looking for the volume of the tank which has a cylindrical shape.

The volume of a cylinder is given by:

[tex]V=\pi r^2 h[/tex]

where r is the radius of the circular base and h is the height.

In this case we have:

diameter: [tex]d=14 ft[/tex]

and since the radius is half of the diameter: [tex]r=14ft/2=7ft[/tex]

also the height is: [tex]h=40ft[/tex]

we substitute these values into the equation to find the volume:

[tex]V=(3.1516)(7ft)^2(40ft)[/tex]

solving the expression:

[tex]V=(3.1516)(7ft)^2(40ft)\\V=(3.1416)(49ft^2)(40ft\\V=6,157.5ft^3[/tex]

the tank can fit [tex]6,157.5ft^3[/tex] of gas

Amount of gas filled in tank is 6,154.4 feet³

Given that;

Diameter of cylindrical tank = 14 feet

Length of cylindrical tank = 40 feet

Find:

Amount of gas filled in tank

Computation:

Diameter of cylindrical tank = 14 feet

Radius of cylindrical tank = 14 / 2 = 7 feet

Amount of gas filled in tank = Volume of tank

Amount of gas filled in tank = πr²h

Amount of gas filled in tank = (3.14)(7)²(40)

Amount of gas filled in tank = (3.14)(49)(40)

Amount of gas filled in tank = 6,154.4 feet³

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Answer:

Slope: 1/3

Y-Intercept: (0,7)

Equation: y = 1/3x + 7

Step-by-step explanation:

If you find a point on the line, you can find the slope by counting the distance from the y-intercept.

Answer:

127 &64

Step-by-step explanation:

x+y=191 eq(1) & x-y=63 eq(2)

x=63+y then put in the eq(1)

63+y+y=191

2y=191-63

y=64 then put in the eq(2)

x-y=63

x= 63+y

x=63+64

x=127

Answer:

both numbers are 127 and 64

Step-by-step explanation:

x= one of the numbers

191-x= the other number

(191-x)-x=63

191-x-x=63 (combine like terms)

191-2x=63 (rearrange)

191-63-2x (simplify)

128=2x

64=x

(127 +64=191)

(127-64= 63)

Answer:

x = -4i and x = 4i, also x = 4

Step-by-step explanation:

Rewrite y = x^3-64 as y = x^3 - 64.  This can again be rewritten, this time as:

y = (x - 4)(x^2 + 16).

Setting this = to 0, we get x - 4 = 0, whose corresponding root is x = 4, and

x^2 + 16), which has two unequal, imaginary roots:  x = -4i and x = 4i.

Answer:

v= 904.78

Step-by-step explanation:

Answer:

904.77868423386 feet^3

Step-by-step explanation:

Step one the formula is 4/3 Pie R ^3

Step two you do 4/3 x PI x 6^3

Step three do exponents first so 6x6x6=216

Step four multiply 4/3 x 3.14 which equals 4.187

Step four finally you are going to multiply 216 by 4.187 to get   904.77868423386 feet^3

Answer:

the first one

Step-by-step explanation:

Answer:

[tex]73\%[/tex]

Step-by-step explanation:

Given: Present weight of Caleb’s puppy = 2,250 grams

Puppy weighed 600 grams at his last visit to the veterinarian’s office.

To find: percent increase in the puppy’s weight rounded to the nearest whole number

Solution:

Increase in puppy's weight = 2250 - 600 = 1650 grams

Percent increase in the puppy’s weight =( Increase in puppy's weight/Present weight of Caleb’s puppy) × 100 = [tex]\frac{1650}{2250}(100)=73.33 \%[/tex]

[tex]73.33\%[/tex] is rounded to [tex]73\%[/tex]

Answer:

7

Step-by-step explanation:

used a calculator

Answer:

60/96

Step-by-step explanation:

Answer:

10:16 or 2.5:4

Step-by-step explanation:

sorry if i am wrong

Answer:

a) 60 times

b) 0.24

c) 150 times

Step-by-step explanation:

Answer:

You just add the 2 equations together and fill in the 3 into the x where the f(x) equation is located and 7 into the x where the g(x) equation is located. I hope this helps. Have a great rest if your day!

Answer:

x=6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x = 6

Step-by-step explanation:

In this equation, we are told to solve for the value of x. Thus, we must isolate the variable x (poor x... we're always trying to isolate it).

3 - 2x = -1.5x

(I'm going to swap sides to make it easier for me to solve. This doesn't change anything mathematically due to the associative laws. It's purely cosmetic.)

-1.5x = 3 - 2x

First, we can add 2x to both sides of the equation to get all algebraic expressions containing the variable x on one side of the equation alone.

0.5x = 3

For our next part here, let's convert 0.5 to a fraction to make life easier for us.

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

When isolating x in this, we are trying to get rid of 1/2. How can we do this? We can multiply is by 2!

[tex]\frac{1}{2}[/tex]x · [tex]\frac{2}{1}[/tex] = 1x (or simply x)

What we do to one side we must do to another.

x = 3 · 2

x = 6

Our answer is x = 6. Woo!

Answer

7.85

but I not sure JutMon21 know the problem

Answer:

I got 7.85

Step-by-step explanation:

First, I took the center angle which is 90 degrees in this case and divided by 360 and I got 0.25 Then, I multiplied that number by the radius which is 5 and I got 1.25. After that I multiplied 1.25 with 2π and the final answer that I got is 7.85

Answer:

Step-by-step explanation:

Hard to figure out huh

here your answer mate

3.25

hope it helps ☺️✌️

Answer:

3.25

Step-by-step explanation:

16/13 = 4/r

16 × r = 13 × 4

16r = 52

r = 52/16 = 3.25

Answer:

weight of pears sold = 4.08 kg

Step-by-step explanation:

total weight of apples and pears = 6.8 kg

2/5 of this weight = apples

this means that if the total weight (6.8 kg) were divided into 5 parts, apples take 2 out of the 5 parts:

∴ weight of apples = 2/5 of total weight

weight of apples 2/5 × 6.8 = 2.72 kg

Therefore apples weigh a total of 2.72 kg

Therefore, since weight of apples + weight of pears = 6.8 kg

2.72 + weight of pears = 6.8

weight of pears = 6.8 - 2.72 = 4.08 kg

[tex]4x^2-25[/tex] is a difference of squares with a factor 2x+5

because when we factorize [tex]4x^2-25[/tex] we get [tex](2x-5)(2x+5)[/tex]

The expression is a difference of squares with a factor of 2x + 5 [tex]$4 x^{2}-25$[/tex].

Given:

2x + 5

To find:

The expression is a difference of squares with a factor of 2x + 5.

Step 1

The difference of squares formula is given by

[tex]$(a+b)(a-b)=a^{2}-b^{2}$$[/tex]

We have been given that one factor is 2x + 5.

Hence, [tex]$\mathbf{a}=\mathbf{2 x}, \mathbf{b}=\mathbf{5}$[/tex]

Step 2

It means that the other factor must be (a - b) = (2x - 5)

Hence, in order to expression, we can multiply the factors.

(2x + 5)(2x - 5)

Step 3

Using the difference of squares formula

(2x + 5)(2x - 5)

[tex]$&=(2 x)^{2}-5^{2} \\[/tex]

[tex]$&4 x^{2}-25[/tex]

The required expression exists [tex]$4 x^{2}-25$[/tex].

Therefore, the correct answer is [tex]$4 x^{2}-25$[/tex].

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Answer:

The rabbit population will reach its peak after 10 years.

Step-by-step explanation:

Suppose we have a quadratic function in the following format:

[tex]p(t) = at^{2} + bt + c[/tex]

The vertex of the function is the point:

[tex](t_{v}, p(t_{v})[/tex]

In which

[tex]t_{v} = -\frac{b}{2a}[/tex]

If a is negative, the vertex is a peak.

In this question:

[tex]p(t) = -4t^{2} + 80t + 1200[/tex]

So

[tex]a = -4, b = 80, c = 1200[/tex]

According to this quadratic function, after how many years will the rabbit population reach its peak

This is [tex]t_{v}[/tex]

[tex]t_{v} = -\frac{b}{2a} = -\frac{80}{2*(-4)} = 10[/tex]

The rabbit population will reach its peak after 10 years.

Answer:

80

Step-by-step explanation:

All we need to do is divide the amount of hours she needs to read by the time she wants to read each time.

1/2 = 0.5

Divide.

2 / 0.5 = 4

Therefore, Alexa will read 4 times over the weekend.

Best of Luck!

Answer:

4 times

Step-by-step explanation:

1 / 2 = 0.5

2 / 0.5 = 4

Answer:

You'll find the answer below each.

Step-by-step explanation:

1-4 you can use this formula: [tex]V=l*h*w[/tex]

1.

[tex]V=l*w*h\\V=(6ft)(4ft)(1ft)\\V=24ft^3[/tex]

2.

[tex]V=l*h*w\\V=(2yd)(\frac{1}{2}yd )(2yd)\\V=2yd^3[/tex]

3.

[tex]V=l*h*w\\V=(12\frac{1}{2}mm)(3mm)(4mm)\\V=150mm^3[/tex]

4.

[tex]V=l*h*w\\V=(2cm)(8.5cm)(2cm)\\V=34cm^3[/tex]

5-7 you need these 2 formulas: [tex]A=\frac{bh}{2}[/tex] and [tex]V=Bh[/tex] or you can use one formula which is: [tex]V=\frac{bh}{2}*h[/tex]

Let me explain. The first formula is for finding the area of the base of the triangle and the second formula is for finding the volume of the prism using the area previously mentioned. The first h is with respect to the triangle and the second h is with respect to the prism.

5.

[tex]V=\frac{bh}{2}*h\\V=\frac{(8in)(6in)}{2}* 18in\\V=\frac{48in^2}{2}*18in\\ V=48in^2*9in\\V=432in^3[/tex]

6.

[tex]V=\frac{bh}{2}*h \\V=\frac{(11m)(5m)}{2}*35m \\V=\frac{55m^2}{2}*35m\\ V=\frac{1925m^3}{2}\\ V=962.50m^3[/tex]

7.

[tex]V=\frac{bh}{2}*h \\V=\frac{(5mm)(8mm)}{2}*12mm\\V=\frac{40mm^2}{2}*12mm\\ V=40mm^2*6mm\\V=240mm^3[/tex]

For the last one, we have a special case.

This formula is a bit odd and long.

[tex]V=\frac{1}{4}h(\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex]

a=8yd

b=15yd

c=17yd

h=11yd

[tex]V=\frac{1}{4}(11yd)(\sqrt{-(8yd)^4+2[(8yd)(15yd))]^2+2[(8yd)(17yd)]^2-(15yd)^4+2[(15yd)(17yd)]^2}[/tex][tex]-(17)^4[/tex]

As you can see this is long. I'll just jump to the answer.

Answer: [tex]660yd^3[/tex]

Answer:

He is correct

Step-by-step explanation:

Answer:

 1,616.60

we know that    

The compound interest formula is equal to  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

substitute in the formula above  

Step-by-step explanation:

Answer:

V = 523.5987756 Cubic in.

Step-by-step explanation:

The equation for the volume of a sphere is V = 4 * π * (r^3 / 3)

In this case: V = 4 * π * (41.6667)

                    V = 4 * 130.8996939

                    V = 523.5987756 cubic inches.

Hope this helps =)

Answer: C

Step-by-step explanation:

5 is the diameter so 2.5 has to be the radius.

The volume of sphere is  v=4/3* π *r^3

v= 4/3 * 3.14 * 2.5^3

v= 65.4

Answer:

A computer network

Step-by-step explanation: