4. Solve the following equations and verify your answers: (i) 3 (x + 7) = 18​

Answer:

x= 11

Step-by-step explanation:

4x-8 = 3x+3 (those angles are corresponding angles so they are equal to each other)

4x-3x =3+8

x =11

Answer:

Lt is very easy answer u can't

Answer:

[tex]\frac{1}{x-6}[/tex]

Step-by-step explanation:

[tex]\frac{x}{x^2-2x-24}-\frac{-4}{x^2-2x-24}\\\\\frac{x-(-4)}{x^2-2x-24}\\\\\frac{x+4}{(x+4)(x-6)}\\\\\frac{1}{x-6}[/tex]

Answer:

273,050

Step-by-step explanation:

(27000+300+5)×10

=27305×10

=273050

Answer:

≈9.64 gallons

Step-by-step explanation:

To solve, we can figure out how many quarts are in a minute and use that to figure out how many quarts are in an hour. Then, we can convert quarts to gallons.

4.5 quarts = 7 minutes

First, we can find how many quarts equal 1 minute. To do this, we can divide both sides by 7 because anything divided by itself equals 1

4.5/7 quarts = 1 minute

Next, we want to figure out how many quarts go into 60 minutes, or 1 hour. To do this, we can multiply both sides by 60 because 1 * 60 = 60

4.5 * 60 / 7 quarts = 60 minutes = 1 hour

We now know how many quarts are in an hour, so we can now convert quarts to gallons

4 quarts = 1 gallon

divide both sides by 4

1 quart = 1/4 gallons

To get from quarts to gallons, we can divide by 4, so we have

(4.5 * 60 / 7)/4 = 4.5 * 60 / 28

≈9.64 gallons

Answer:

2/5

Step-by-step explanation:

you multiply the denominators and numerators so

4 * 1 and 5 *2 leaving you with

4/10

since it says simplify you would just divide by 2 leaving

2/5

Assigning answers to statements about square numbers, whether it is always true, sometimes true or never true:

The term square numbers refers to numbers which are gotten when an integer multiplies itself. It is also called a perfect square. This number type is important in the field of mathematics and always applied.

Example of perfect squares are 4, 9, 16, 25, 36, 49, 64. 91, 100 and so on.

A perfect square will never have 2, 7, 3, or 8 as the last digit hence we can say that:

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Answer:

Lob is the answer the the 2

The measure of central angle AOB is 2.

The measure of the central angle stands twice the measure of the inscribed angle subtended by the identical arc. (An inscribed angle exists an angle whose vertex fibs on the circumference of the circle.) The sum of the measurements of the central angles of a circle with no common points stands 360°.

Central angles exist subtended by an arc between those two points, and the arc length stands the central angle of a circle of radius one.

The measure of central angle AOB is 2.

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Answer:

try photo math

Step-by-step explanation:

it may work for this problem

Answer:  

Exact Form: 391 /12

Decimal Form:  32.58 3 (3 is continued)

Mixed Number Form:  32  7/12  

Step-by-step explanation: You evaluate and multiply the equation.

=========================================================

Explanation:

The changes of this number are

The overall net change is -0.4+0.008+20 = 19.608

We'll be adding this net change to the original number

143.351 + 19.608 = 162.959

This value is exact and hasn't been rounded.

Answer:

6 cm3

Step-by-step explanation:

3 x 2 x 1 = 6

Answer:

this answer could help you...

Step-by-step explanation:

make me brainiest

The speed where Trish is driving is 46 miles per hour.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

Given the table where a number of hours and miles are shown,

The unit rate of first data = 69/1.5 = 46

the unit rate of second data = 161/3.5 = 46

And so on

So, 46 will be constant of the function

It means the function will be y = 46x and the rate of the function will be y/x = 46.

Hence "The speed where Trish is driving is 46 miles per hour".

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Answer:

Step-by-step explanation:

The relation is x²+y²=r² with r being the radius

[tex]f(x)=y=\sqrt{r^2-x^2} \\\\domain(f(x))=[-r,r]\ or\ -r\leq x \leq r\\range(f(x))=[0,r]\ or\ 0\leq y \leq r\\\\\\\ g(x)=y=-\sqrt{r^2-x^2} \\domain(g(x))=[-r,r]\ or\ -r\leq x \leq r\\range(g(x))=[-r,0]\ or\ -r\leq y \leq 0\\\\[/tex]

Answer:CD is 4

Step-by-step explanation: ham

Answer:

400÷10=40

Step-by-step explanation:

the question asks for you to divide each number in the pattern by 10.

the first number is 400

400÷10=40

then you would do 40÷10=4

then 4÷10=0.4

then 0.4÷10=0.04

so the pattern would be

400 , 40 , 4 , 0.4 , 0.04

hope this helped!

Step-by-step explanation:

compound inequality: a statement formed by two.......

intersection: elements that are in both set A and B

union: elements that are in either set A or B

Answer:

3.004

Step-by-step explanation:

If you were to round it like this: 3.0041, the thousands place would still be 4, so it would come out to be 3.004. Hope that helps!!

Answer:

2 seed packets

Step-by-step explanation:

Since Mitchell can grow 2 flowers per seed packet, you can divide the number of flowers he wants with the number of flowers each seed packet can grow. Since he wants 4 flowers, 4 divided by 2 is equal to 2, meaning he needs 2 seed packets to grow 4 flowers.

Answer:

F(x)= (x+1)(X-3)

Step-by-step explanation:

Plug in the Zeros of the equation

Answer:

Step-by-step explanation:

k-2

Answer:

k-2

Step-by-step explanation:

-(2-k) - Expand the brackets

-2+k - Reorder the equation

k-2

Answer:

36 different combinations

Step-by-step explanation:

3 colors * 6 types * 2 sizes

3*6*2 = 36 different combinations

36 typewriters are required for a complete display

Given :

A typewriter manufacturer offers to its customers three choices of colors, six styles of type, and two sizes

Colors =3

Styles =6

sizes =2

To find number of typewriters required we multiply the colors , styles and sizes available

Number of typewriters required=[tex]3 \cdot 6 \cdot 2= 36[/tex]

36 typewriters are required for a complete display

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Step-by-step explanation:

The product of slope of 2 straight lines perpandicular each other is -1.

Now, The slope of the original equation is 6. We wish to find the slope m of the perpendicular line. So

[tex]6m = - 1[/tex]

[tex]m = - \frac{1}{6} [/tex]

Now substituting the slope m and the point (6, -3) into the perpandicular line to solve for the y intercept.

[tex]y = mx + c[/tex]

[tex] - 3 = 6( - \frac{1}{6} ) + c[/tex]

[tex]c = - 2[/tex]

Therefore, the equation of the perpandicular line is

[tex]y = - \frac{1}{6} x - 2[/tex]

PEMDAS- Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Answer= -91

Answer:

3,000,629

Step-by-step explanation:

Start with three million as shown below.

Three million, six hundred twenty nine in numbers

3,000,000

"six hundred twenty nine" is simply

629

The number you want is 629 more than 3 million.

Now add the 639 to the 3 million.

Three million, six hundred twenty nine

3,000,629

Answer:

Step-by-step explanation:

[tex]\frac{dy}{dx} =20x^{19}[/tex]

The differential of

[tex]w = x \sin(2yz^4)[/tex]

is

[tex]\mathrm dw = \dfrac{\partial w}{\partial x}\,\mathrm dx + \dfrac{\partial w}{\partial y}\,\mathrm dy + \dfrac{\partial w}{\partial z}\,\mathrm dz[/tex]

where the partial derivatives are

[tex]\dfrac{\partial w}{\partial x} = \sin(2yz^4) \\\\ \dfrac{\partial w}{\partial y} = x \cos(2yz^4) \times 2z^4 = 2xz^4 \cos(2yz^4) \\\\ \dfrac{\partial w}{\partial z} = x \cos(2yz^4) \times 8yz^3 = 8xyz^3 \cos(2yz^4)[/tex]

So the differential dw is

[tex]\mathrm dw = \boxed{\sin(2yz^4)}\,\mathrm dx + \boxed{2xz^4 \cos(2yz^4)}\,\mathrm dy + \boxed{8xyz^3 \cos(2yz^4)}\,\mathrm dz[/tex]

Answer: 2 pens and 4 pencils.

Step-by-step explanation:

If you buy 2 pens it is equal to $2.

If you buy 4 pencils it is also equal to $2.

2+2=4

and 2 pens and 4 pencils is equal to 6 in total.

Answer

[tex]2[/tex] pens and [tex]4[/tex] pencils were bought for [tex]\$4[/tex] such that [tex]6[/tex] pens and pencils are bought for [tex]\$4[/tex] and each pen costs [tex]\$1[/tex] and each pencil costs [tex]\$0.50[/tex].

The equation whose variables' highest power is one is known as linear equation.

To find the unknown quantities, always assume it to be a variable and then form the equation based on the conditions given in the question.

Let the number of pens bought be [tex]x[/tex].

and the number of pencils bought be [tex]y[/tex].

The total number of pens and pencils [tex]=6[/tex].

So, the first equation is,

[tex]x+y=6[/tex]

[tex]x=6-y[/tex] ... (i)

And the costs per pen and pencil is [tex]\$1[/tex] and [tex]\$0.50[/tex] respectively.

So, the second equation is,

[tex]x+0.5y=4[/tex] ... (ii)

Now, solve the pair of linear equations.

Put the value of [tex]x[/tex] in the equation (ii),

[tex]6-y+0.5y=4\\-0.5y=-2\\y=4[/tex]

So,

[tex]x=6-4\\x=2[/tex]

Thus, [tex]2[/tex] pens and [tex]4[/tex] pencils were bought for [tex]\$4[/tex].

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Step-by-step explanation:

how much of an 80% orange juice drink must be mized with 20 gallons of a 20% orange juice drink to obtain a mixture that is 50% orange juice

Answer by mananth(16075) (Show Source): You can put this solution on YOUR website!

--------percent ---------------- quantity

Orange juice 20 ---------------- 20 gal

Orange juice 80 ---------------- x gal

Mixture 50 ---------------- 20 + x gal

20 * 20 + 80 x = 50 ( 20 + x )

400 + 80 x = 1000 + 50 x

80 x + -50 x = 1000 - -400

30 x = 600

/ 30

x = 20

20 gal of 80 % Orange juice

Answer:

What do you mean?

Step-by-step explanation:

I don’t understand.