solve each of the inequalities illustrating each solution on a number line
a)x-3 ≥7
b)-2y+4> 3

Answer:  Equations (b) and (e) do not have solutions

Step-by-step explanation:  b)  The x cancels out (-10x + 35) = -10x + 318;  35 = 318???? NO.  e)  3(x + 2) + 1 = x + 2(4 + x)​;  3x + 7 = 3x + 8.  The x cancels out again.

The other s can be solved for x.

Hi! I'm happy to help!

To solve this, we need to simplify all of the equations. There are 3 ways equations like this can go, infinitely many solutions, 1 solution, or no solution. Infinitely many is something like 6=6, that could mean infinite solutions because 6 always equal 6, and would apply in infinitely many ways. (in the equation) One solution refers to something like x=6. This tells your exactly what x is, and that is your only solution. (for the equation) And no solution is something like 5=6, 5 will never equal 6, so that is no solution. (to the equation)

Now, let's start out with our first equation. To find if our equations have solutions or not, we need to simplify them. We do this by singling out x to see what the solution is (if there is one).

x-9=2(x-3)+12

We can multiply 2, by x and -3 inside of the parenthesis, to simplify:

x-9=2x-6+12

Since we have at least one x on both sides, we can subtract it to isolate it:

x-9=2x-6+12

-x    -x

-9=x-6+12

Combine -6 and twelve:

-9=x-6+12

-9=x+6

Now, we subtract 6 to fully isolate x:

-9=x+6

-6   -6

-15=x

We see we have 1 solution, so you should not pick option 1.

Second equation:

5(-2x + 7) + 3 = -10x + 38

We should first multiply the parenthesis:

-10x+35+3=-10x+38

Since we want to simplify, let's add 10x on both sides

-10x+35+3=-10x+38

+10            +10x

35+3=38

Add 35 and 3:

38=38

Since 38 will always equal 38, there are infinite solutions, and you should not pick option 2.

Third equation:

(6x - 4) = 3(x - 2)

Since there is nothing outside of the parenthesis (right side), we don't need them:

6x-4=3(x-2)

From here, multiply the parenthesis:

6x-4=3x-6

Subtract 3x from both sides:

6x-4=3x-6

-3x   -3x

3x-4=-6

Add 4 to both sides to isolate x:

3x=-2

Divide both sides by 3, to fully isolate x:

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

Since there is only 1 solution, you should not pick option 3.

Fourth equation: (not sure if the 100 is supposed to be there)

0.01x + 0.001 = (x + 10)

First, let's subtract 0.01x from both sides:

0.001=9.99x+10

Then, we subtract 10 from both sides to start isolating x:

-9.999=9.99x

Then, we divide both sides by 9.99:

        ______

1.000900900=x

Kind of a weird number, but regardless, you should not pick option 4, because it has 1 solution.

Fifth equation:

3(x + 2) + 1 = x + 2(4 + x)​

First, let's multiply the parenthesis on both sides:

3x+6+1=x+8+2x

Combine like terms:

3x+7=3x+8

Subtract 3x from both sides:

7=8

7 will never equal 8, there will be no solution, and you should pick option 5.

You should pick option e, because it has no solution.

I hope this was helpful, keep learning! :D

Answer:

It'll take 144 minutes for 5 pipes.

Step-by-step explanation:

[tex]{ \sf{6 \: pipes = 120 \: mins}} \\ { \sf{5 \: pipes = ( \frac{6}{5} \times 120) \: mins}} \\ \\ = { \sf{144 \: mins}}[/tex]

but practically, it seems to be abnormal. if 6 pipes take 120 mins, 5 pipes must takes a time greater than 120 mins cause amount of water flowing to the tank is decreasing.

But there is a possibility that pressure of water was increased for the case of five pipes, that's why it takes a time less than 120 mins. (t < 120)

Answer:

144 minutes

Step-by-step explanation:

here we use inverse proportion because the more pipes there are the less time is needed

the formula for inverse proportion is y = k/x

first we need to find k which is the constant

if y is the number of minutes and x is the number of pipes we can substitute these into the formula like so: 120 = k/6

to find k rearrange the formula to get k = 6 * 120 = 720

now that we have k we can substitute 720 (k) and 5 (x) into y = k/x

y = 720 / 5

y = 144

(y is the number of minutes in this case so the answer is 144 minutes)

Step-by-step explanation:

having denominator 6,

X/6= 2/3

X= 4

so, 4/6= 2/3

having numerator 10,

10/X= 2/3

X= 15

so, 10/15= 2/3

Answer:

2 cups

Step-by-step explanation:

3 + 3 = 6 (one cup)

4 + 2 = 6 (two cups)

Answer:

Yes

Step-by-step explanation:

Statement 1: If JK and LM bisect each other then, they divide each other in 2 equal parts.

So,

JP = PK [Because of statement 1]

MP = PL [Because of statement 1]

∠JPM = ∠LPK [Because they are vertically opposite angles]

So, ΔJPM ≅ to ΔKPL [By SAS congruence criteria of triangle]

Answer:

The correct choice is option c. (p/2) - 17

Answer:

U forgot to add zero while dividing

Answer:

If the function is the Area, then Area = length*width = x*(12-x) = 12x - x^2Domain is x>0, since you can't have a rectangle with negative length.

0 < x<6, If x is 7 then width would be 5, but x must be shorter

Step-by-step explanation:

Answer:

Equation of line is y = x - 5

Step-by-step explanation:

general equation of a line:

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

m » slope

c » y-intercept

for the slope, m :

[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1} } [/tex]

substitute in accordance of the points:

[tex]slope = \frac{ - 5 - 4}{0 - 9} = \frac{ - 9}{ - 9} \\ \\ m= 1[/tex]

for y-intercept :

[ consider point (0, -5) ]

[tex]y = mx + c \\ - 5 = (0 \times 1) + c \\ c = - 5[/tex]

Therefore, equation of line is

[tex]{ \boxed{y = x - 5}}[/tex]

Answer:

none

Step-by-step explanation:

38×2=76

43×2=86

45×2=90

Answer:

1

Step-by-step explanation:

2x + (14 • 2) = 30

2x + 28 = 30

2x = 30 - 28

2x = 2

x = 2/2

x = 1

Hope this helps you. Do mark me as brainliest.

(Please vote me Brainliest if this helps!):

Answer:

terminating decimals has an end digit and has a finite number of digits.

Non-terminating has no end term and has an infinite number of terms.

The quotient of 14.127 divided by 5.1 is 2.77

14.127 ÷ 5.1

To make the calculation easier without the use of a calculator :

Multiply both sides such that bith the dividend and divisor are integer values :

Multiply both by 1000

14.127 × 1000 = 14127

14127 51 × 1000 = 5100

Hence,

14127 ÷ 5100 = 14127 / 5100 = 2.77

Hence, 14.127 ÷ 5.1 = 2.77

Learn more : https://brainly.com/question/21416852

Answer:

15 cm.

Step-by-step explanation:

Recall that the arc-length of a circle is given by the formula:

[tex]\displaystyle s = r\theta[/tex]

Where r is the radius and θ is the measure of the central angle in radians.

The circle has a diameter of 24 cm, so its radius is 12 cm.

And its central angle is 1.25 radians. Hence, the arc-length will be:

[tex]\displaystyle s = \left(12\right)\left(1.25\right) = 15\text{ cm}[/tex]

In conclusion, the arc-length for a circle with a diameter of 24 cm subtended by a central angle of 1.25 radians is 15 cm.

If we consider the ordered pair (0,0) then only the graph still represents a function.

In a function, there can not be two different values of x corresponding to the same value of y.

Here, the points on the graph are (0,0), (-3,1), (1,3) and (3, 1).

If we consider point (-3,1) then there will be two points corresponding to the same y value i.e. (-3,1) and (3, 1).

The values of x for a single value of y.

i.e. y = 1.

So, if we consider the ordered pair (0,0) then only the graph still represents a function. Therefore, the correct answer is option (a) (0,0).

To learn more about the graph

https://brainly.com/question/14534966

#SPJ2

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Addition, subtraction, and multiplication by a scalar all work on a term-by-term basis. For example the upper left term of A+2B is (2) +2[2] = 6, where (2) is the upper left term of A, and [2] is the upper left term of B.

It is convenient to let your graphing calculator or a spreadsheet do the repetitive arithmetic for you. Attached is the result of using the free Go.ogle Sheets spreadsheet.

Answer:

A

Step-by-step explanation:

-4.5+4.4= -0.1

-0.1 + x = 0

So the answer needs to be equal to 0.1.

-6.7+6.8= 0.1

-4.5+4.4 -6.7+6.8 =0

Answer:

its either the 3rd one or the 5th one

sorry hope this helps a little bit

Step-by-step explanation:

Answer:

49½+5½

Step-by-step explanation:

Because here, we have 7√5, which we can place the two numbers in index form, 7 is equal to√49 which is 49½ and √5 is equal to 5½. So the answer is 49½•5½

Answer:

Step-by-step explanation:

[tex]\begin{array}{c|c|c|c|c}p&q&r&p \vee q&(p \vee q)\ =>\ r\\---&---&---&---&------\\T&T&T&T&T\\T&T&F&T&F\\T&F&T&T&T\\T&F&F&T&F\\F&T&T&T&T\\F&T&F&T&F\\F&F&T&F&T\\F&F&F&F&T\\---&---&---&---&------\\\end{array}[/tex]

Answer:

16/25

Step-by-step explanation:

keep the first fraction the same, make the second fraction 8/5, and then multiply the two fractions across.

Answer:

1770000, 1800000

Step-by-step explanation:

1770000

Answer:

1,770,000 & 1,780,000

Step-by-step explanation:

Rounding, I suppose

Answer:

-9/38/100=-9/19/50

hope it helps!!!!!

Step-by-step explanation:

since the bases are the same all you have to do is just get the powers of both bases which is 3x + 1 and 10

you're then going to equate 3 x + 1 to 10 and then you have to make +1 cross to the other side making it become -1

you then can subtract 1 from 10 leaving you with 9

and at the LHS we have 3x

we are gonna get rid of the three by dividing it into itself and the 9 at the RHS then X = 3

Step-by-step explanation:

7:3

4:x

-cross multiply

7x = 12

x = 12÷7

x = 1.7

Answer:

180 degrees

Step-by-step explanation:

Two angles are called supplementary when their measures add up to 180 degrees.

Answer:

188.4 units²

Step-by-step explanation:

Hi there!

Part A

Surface area of a cone = [tex]3.14(rs+r^2)[/tex] where r is the radius of the base and s is the slant height

⇒ r = 6

Replace r with 6

[tex]3.14(6s+6^2)[/tex]

⇒ s = 4

Replace s with 4

[tex]3.14(6*4+6^2)[/tex]

Part B

Evaluate the expression found in Part A:

[tex]3.14(6*4+6^2)[/tex]

Find 6²:

[tex]=3.14(6*4+36)[/tex]

Find 6*4:

[tex]=3.14(24+36)[/tex]

Find 24+36:

[tex]=3.14(60)\\=188.4[/tex]

Therefore, the surface area of the cone is 188.4 units².

I hope this helps!

Answer:

(I). 20.03:

[tex] = 2.003 \times {10}^{1} [/tex]

(ii). 200.03

[tex] = 2.0003 \times {10}^{2} [/tex]

(iii). 2.034

[tex] = 2.034 \times {10}^{0} [/tex]

Answer:

y=-6x-2

Step-by-step explanation:

x-6y=12

y=x/6-2

y=mx+c

since theyre perpendicular, 1/6 * m = - 1

m = -6

y=-6x+c

sub x=-1,y=4

4=-6(-1)+c

c = -2

y=-6x-2