Evaluate. (3/8+3/4)−(1/3+1/6)

Answer:

Step-by-step explanation:

Angles 1 and 3 form a linear pair so they sum to 180°.

Substitute the values and solve for x

Find the measure of ∠1

The set of the equations x + y = 2 and 2x + 2y = 4 have infinitely many solutions, option (b) is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

equation of the line:

x + y = 2

a) 2x + 2y = 2  ⇒ x + y = 1

b) 2x + 2y = 4 ⇒ x + y = 2

c) 2x + y = 2 ⇒ 2x + y = 2

d) x + y = 4 ⇒ x + y = 4

The given equation and equation (b) 2x + 2y = 4 ⇒ x + y = 2 has the same coefficient of x and y as well as same constant it means the set of the equations have infinitely many solutions

Thus, the set of the equations x + y = 2 and 2x + 2y = 4 have infinitely many solutions option (b) is correct.

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Answer:

blue i think good luck

We will see that there are 284.2 kilograms of helium inside the ballon.

In this problem, we know the volume of helium and the density of helium.

Remember that:

density = mass/volume.

Then we can write:

mass = density*volume.

Replacing the two in the right, we get:

mass = (1,592 m³)*( 0.1785 kg/m³) = 284.2kg

Then we can conclude that there are 284.2 kilograms of helium in the ballon.

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ahemmm the so-called curved area, will be the "latereal surface area" of the cylinder, and we know that that is 250 cm², whilst the height h = 12.

[tex]\textit{lateral area of a cylinder}\\\\ LA=2\pi rh~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ LA=250\\ h=12 \end{cases}\implies \begin{array}{llll} 250=2\pi r(12)\implies 250=24\pi r \\\\\\ \cfrac{250}{24\pi }=r\implies \cfrac{125}{12\pi }=r \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=\frac{125}{12\pi }\\ h=12 \end{cases}\implies \begin{array}{llll} V=\pi \left( \cfrac{125}{12\pi } \right)^2 (12) \\\\\\ V=\cfrac{15625}{12\pi }\implies V\approx 414.47 \end{array}[/tex]

Answer:

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

C). With the X right by the 100 means that it could be anything there, so you would put a 3 at the end so then 100 x 3 = 300.
D). The value is already 300 so no need to do work there.

Using Multiplication, 100 × 3 is this expressions could be the one daisy estimated.

Multiplication is an "operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers".

According to the question.

Daisy estimated a certain expression to have a value is 300 using Multiplication we have,

100 × x =300

x = 300/100

x = 3.

Hence, 100 × 3 is this expressions could be the one daisy estimated using Multiplication.

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Answer:

62, since positive doesn't change to negative.

Answer:

720km

Step-by-step explanation:

12000 steps = 2 feet * 12000 = 24000 feet

= 24000 * 12 inches = 288000 inches = 288000 * 2.5 cm

= 720000cm = 720000 / 1000 = 720km

Answer:

5.25 centimeters

Step-by-step explanation:

Simply put, each stitch is 1/8 of a centimeter long.

42 stitches would be 1/8 * 42 centimeters long.

Multiply that and we get 5.25 centimeters.

Answer:

D. 29

Step-by-step explanation:

If a = 6 and b = 5, fill in the numbers in place of the variables (letters) in 4a + b

= 4•6 + 5

= 24 + 5

= 29

4a means 4 times a. Multiply first, and then add.

Expand the integrand:

[tex](2x - 3) (4x^2 + 1) = 8x^3 - 12x^2 + 2x - 3[/tex]

Then integrate using the power rule:

[tex]\displaystyle \int (8x^3-12x^2+2x-3) \, dx = 2x^4 - 4x^3 + x^2 - 3x + C[/tex]

By the fundamental theorem of calculus, the definite integral has a value of

[tex]\displaystyle \int_0^2 (2x-3)(4x^2+1) \, dx = \left(2x^4 - 4x^3 + x^2 - 3x\right)\bigg|_{x=2} - \left(2x^4 - 4x^3 + x^2 - 3x\right)\bigg|_{x=0}[/tex]

[tex]\displaystyle \int_0^2 (2x-3)(4x^2+1) \, dx = 32 - 32 + 4 - 6 = \boxed{-2}[/tex]

The null hypothesis is that the mean mass of vitamin c per tablet does not differ from 297 milligrams

The alternative hypothesis is that the mean mass of vitamin c per tablet differs from 297 milligrams.

The null hypothesis usually states that there is no relationship between the population parameters. It is known as the true hypothesis. The alternative hypothesis states that there is a relationship between the population parameters.

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Answer:

22 divided by 6 is about 3.67

Step-by-step explanation:

Answer:

The answer would be: √x+3=13

Step-by-step explanation:

A radical equation is an equation with at least one variable put on a radical form. In this question, there is only one kind of variable which is x. Then, you need to find the equation where x is in the radical form. The radical form can be expressed with square root symbol.

The option with √x would be only √x+3=13

Answer: 45,28,13

Step-by-step explanation:

Firstly let’s call integer 3

‘x’

Following the information given the following equations can be constructed:

integer 3 = x

integer 2 = 2+2x because 2x represents 2 times integer 3 (which is x) and plus two

integer 1 =3((2x+2)-x) what we have written is the difference between integer 2 (which was (2x+2)) and integer 3 which was x and simply multiply the result of that subtraction by 3

next we can treat them like their own variables almost.

integer 1 + integer 2 + integer 3 =86

so now plug in the equations we have constructed for each integer:

(3((2x+2)-x)) + (2x+2) + x = 86

to make it easier to read please see the image attached below to solve for x

After you have gone through the image I have included you should notice x= 13 great we got one integer! (Integer 3)

now plug in 13 into our integer equations :

integer 2: 2(13)+2= 28

Therefore integer 2 is 28

integer 1: 3((2(13)+2)-(13))=
3((28-13)

3(15)

45

Therefore integer 1 is 45.

and integer 3 is x which as we now know is equal to 13

Answer:

A

Step-by-step explanation:

If you line up all the numbers/variables you just have to copy down all of them except for 7x and 12x, you just add those and you get 19x so the answer is A.

Answer:

900000

Step-by-step explanation:

the answer to "360000 is 40 percent of what number?" is 900000, and you can also derive that 40 percent of 900000 equals 360000.

Answer:

s = 3, j = 14

Step-by-step explanation:

The full perimeter is 35.

The given sides we have are 7, 2, 4, 5, and the two missing ones.  We will call the two missing ones j and s. (according to your drawing.)

-

The side with the number 7 on it is equal to the side with the number 4 and s.

Can you see that?  Even if it's not a direct side, it is under it. (if you can't see that comment below.)

-

Now since we know that we can make an equation:

7=4+s

Subtract 4 on both sides.

3=s.

We now have the length of s, which is 3.

-

Since we now know what s is, we can add them all up once more.

3+5+7+2+4=21

You said the full perimeter is 35.  This means j has to be 35-21, which is 14.

-

This drawing is not drawn to scale, I assume you are drawing this for practice.

-

Good luck on your test!

Answer:

132:198:330

Step-by-step explanation:

You can take the total amount of $660, then divide it by how many parts you have, which is ten. You then get $66, which you can then multiply by the amount for each part of the ratio (2, 3, 5)

Answer:

132$ ,198$, 330&

Step-by-step explanation:

2+3+5=10

2/10×660$

=132$

3/10×660$

=198$

5/10×660$

=330$

Answer:

60

Step-by-step explanation:

[tex]\begin{aligned}f(x) & =x^2-4\\\implies f(8) & =(8)^2-4\\& =64-4\\& =60\end{aligned}[/tex]

Answer:

s-(t+r)

Step-by-step explanation:

Answer:

Slope = 8

Y-intercept = (0, 9)

Step-by-step explanation:

Slope-intercept form of an equation :

Therefore, on comparing with the given equation :

Answer:

[tex]2x = x + 15[/tex]

Step-by-step explanation:

Angle AGH and GHD are corresponding angles, meaning they are equal. So in order to find the equation that can be used to solve for x we need to equate both angles AGH and GHD to each other.

[tex]m < AGH\: \: \: = \: \: \: m < GHD \\ (x + 15) = (2x) \\ 15 = 2x - x \\ 15 = 1x \\ 15 = x[/tex]

They did not ask us to solve for x but I did it in case, however we can see that the answer we got corresponds with

[tex] (1) \:2x = x + 15[/tex]

Corresponding angles are equal

Option A

Use distance formula and take this question down, easily.

Step-by-step explanation:

Distance xy =

[tex] \sqrt{ {(x_2 - x_1) }^{2} + {(y_2 - y_1)}^{2} }[/tex]

Therefore AB

=[tex]\sqrt{(7-3)^2 +(8-4)^2}[/tex]

=[tex]\sqrt{(4)^2 +(4)^2}[/tex]

=[tex]\sqrt{32}[/tex]

=[tex]\boxed{4 \sqrt{2}-units} [/tex]

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex]\large\underline{ \boxed{ \sf{✰\:Important\: points }}}[/tex]

➢ Here question is asking to find the distance between points "A" and "B"

➢we can easily solve such ques by understanding a simple concept of Euclidean distance formula

➢ DISTANCE FORMULA :- Any algebraic expression that gives the distance between two points in a particular coordinate system in a particular number of dimensions

[tex]\rule{80mm}{2.5pt}[/tex]

[tex]{ \boxed{✜\underline{ \boxed{ \sf{Distance \: Formula = \sqrt{{(x_2 - x_1)}^{2} + {(y_2 - y_1) }^{2} } }}}✜}}[/tex]

★ Here

[tex]\rule{80mm}{2.5pt}[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Now\: substitute\:value}}}[/tex]

[tex]\sf \: ➛ \: distance = \sqrt{{(x_2 - x_1)}^{2} + {(y_2 - y_1) }^{2}} \\ \sf \: ➛distance = \sqrt{{(7 - 3)}^{2} + {(8 - 4) }^{2}} \\ \sf ➛solving \: bracket\\ \sf \: ➛distance =\sqrt{{(4)}^{2} + {(4) }^{2}} \\ \sf \: ➛solving \: square \: roots \\ \sf \: ➛distance = \sqrt{32} \\ \sf \: ➛distance = \sqrt{16 \times 2} \\ \sf \: ➛distance = \sqrt{4 \times 4 \times 2} \\ \sf \: ➛distance =4 \sqrt{2} units[/tex]

[tex]\rule{80mm}{2.5pt}[/tex]

Hence distance of AB =

[tex]{ \boxed{✟\underline{ \boxed{ \sf{\: AB=4 \sqrt{2}units {\green ✓}}}}✟}}[/tex]

Hope it helps !

Answer:

x = 30

Step-by-step explanation:

The sum of the angles of a triangle add to 180

x+2x+3x = 180

Combine like terms

6x= 180

Divide each side by 6

6x/6 = 180/6

x = 30