Solve 2(x + 1) = 2x + 5.​

Answer:

Krista put 0.40 in the first equation meant for the number of stamps.

Step-by-step explanation:

Krista's equation

0.40x+y=45

x+0.55y=18.75

The system of Equation should have been

x + y = 45 (1)

0.40x + 0.55y = 18.75 (2)

From (1)

x=45-y

Substitute x=45-y into (2)

0.40(45 - y) + 0.55y = 18.75

18 - 0.40y + 0.55y = 18.75

Collect like terms and you now have

0.55y - 0.40y = 18.75 - 18

0.15y = 0.75

Divide both sides of the equation by 0.15

y = 5

Substitute y=5 into (1)

x + y = 45

x+5=45

x=45-5

x=40

This shows that the stamps that cost 0.40 cents were 40 while those that cost 0.55 cents were 5 in number.

Krista's error:

Krista put 0.40 in the first equation meant for the number of stamps.

Answer: A, Krista put 0.40 in the first equation meant for the number of stamps.

Step-by-step explanation:

              Edge 2020.

Answer:

6

Step-by-step explanation:

4x-8=16

4x=16+8

4x=24

x=24÷4

x=6

Answer:

The third option, or initial value:2, rate of change:1.

Step-by-step explanation:

The initial value is where the y-intercept is on the y-axis. For this problem it falls on the 2.

Your rate of change is your slope. I like to think of it as rise/run. Your slope in this graph is 1/1. Or just 1.

let me know if your need further explanation!

Answer:

A) Point C

B) Point E

Step-by-step explanation:

There are 3 vowels in the word square, and there are six total letters in the word square.

Square

There is a half chance of picking a letter that is a vowel in the word "square". (Three is half of six.)  

Point C would be the most accurate spot for question 'a'.

The word square does not have a 'T'. It is certain that a letter that is not 'T' would be picked.

Point E would be the most accurate spot for question 'b'.

Answer:

a)  c  b) e

Step-by-step explanation:

There are 3 vowels out of 6 total cards, and c lands at 3/6->1/2.

There is no letter T, so it is a 1/1 chance of not getting a T. E lands at 1.

You're welcome.

Answer:

9

Step-by-step explanation:

The distance from the x axis is from the point (8,0)

d = sqrt( (8-8)^2 + (-9-0)^2)

   = sqrt(0+ 81)

   = sqrt( 81)

    =9

Answer:

8

Step-by-step explanation:

8 is how far away it is in square units from the x-axis and the 7 is how far it is from the y-axis

Hope this helps

Answer:

Answer A is the first step

Step-by-step explanation:

Normally, to prove an identity, you start by writing all trig expressions in their most simple forms using the two basic trig functions sin and cos. That is done in option A, with writes tan and cot in terms of sin and cos.

Answer:

x° = 62

Step-by-step explanation:

The vertical angle to 28 degrees is 28 degrees in size.

The vertical angle to 90 degrees is 90 degrees in size.

Angles in a circle add up to 360 degrees.

x + 28 + 152 + 28 + 90 = 360

x + 298 = 360

x = 360 - 298

x = 62

Angle x is 62 degrees in size.

Slope intercept form of the equation 8x+2y=0 is y= -4x

Slope intercept form gives the graph of a straight line and is represented in the form of y=mx + c

Given,

8x+2y=0

2y =-8x

y=-4x

Hence, the Slope intercept form of the equation 8x+2y=0 is y= -4x

Learn more about Slope intercept form here

https://brainly.com/question/9682526

#SPJ2

Answer:

8 1/2

Step-by-step explanation:

It is already rounded to the nearest half.

Answers:

minor arc RP = 125 degrees

minor arc QS = 125 degrees

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

Explanation

Definition: A minor arc is a piece of a circle such that it is smaller than a semi-circle with the same radius. In other words, it's measure is always less than 180 degrees.

Based on this definition, a minor arc is where we take the shortest path between any two points on a circle. For minor arc RP, we start at R then go to the right and take the shortest path to P. We do not go left when we start at R because that's the longer path and it is the major arc.

Minor arc RP is subtended by central angle ROP = 120 degrees. This central angle is equal to the arc measure in question. This isn't really a theorem, but more a definition if anything.

Central angle QOS is equal to angle ROP through the vertical angles theorem. Any pair of vertical angles are always congruent. Since QOS is 125 degrees, so is minor arc QS.

Answer:

Arc RP is 125, Arc QS is 125, Arc QR is 55, and arc SP is 55

Step-by-step explanation:

We know Arc QS is 125 degrees because angle QOS is a vertical angle with Angle ROS, so Arc QS is 125, and ARC RP is 125. We can figure out the other two arcs using the knowledge that ARC QR is equal to arc PS because angle QOR an SOP are vertical angles and all the degrees have to add up to 360. From this we get 2x + 125 + 125 = 360. From here we simplify and get 2x + 250 = 360; 2x = 110; x = 55, so arc QR and ARC SP are both 55.

Hope this helps :)

Answer:

4.5

Step-by-step explanation:

Let the number be x

6x-14 = 40

Add 14

6x = 40+14

6x = 54

Divide by 6

6x/6 = 54/6

x = 9

We want 1/2 of the number

1/2 of 9 is 4.5

Answer:

3,067,020 = [tex]3.06702\,\,10^6[/tex]

19.507 = [tex]1.9507\,\,10[/tex]

Step-by-step explanation:

3,067,020 = [tex]3.06702\,\,10^6[/tex]

19.507 = [tex]1.9507\,\,10[/tex]

Answer:

Answer A

Step-by-step explanation:

Answer A is correct.  Sides 3.6 and 3 form one ratio and sides 5.4 and 4.5 form another ratio of the lengths of corresponding sides.

Answer:

0.009 mm

Step-by-step explanation:

Find the difference between the two values.

0.03 - 0.021

0.009 mm more gold coating must be added to finish the ring.

Answer:

Option D

Step-by-step explanation:

Collect all like terms and Calculate

-10x-7x= -17x

20-54= -34

Divide

-17x < -34

x>2

Answer:

B 2 ≤x

Step-by-step explanation:

54 - 10x ≤20 +7x

Add 10x to each side

54 - 10x+ 10x ≤20 +7x+10x

54 ≤20 + 17x

Subtract 20 from each side

54-20 ≤20+17x-20

34 ≤17x

Divide by 17

34/17 ≤17x/17

2 ≤x

Answer:

B)140

Step-by-step explanation:

So a line is=180 and the interior angles of a triangle= 180, so I did some manipulations

1. 100 + (5x+5) + <ECD = 180. But we also know that (21x-7) + <ECD=180. With some manipulation we can find that <ECD= 180 - (21x-7), so we can plug that into the other equation

2. Now: 100 + (5x+5) + (180- (21x-7))= 180

3. Solve:

105+5x+180-21x+7=180

112-16x=0

112=16x

x=7

4. Plug x=7 into 21x-7= 140

Answer:

in this expression, -2 is the coefficient.

Step-by-step explanation:

We know that, a coefficient is the number or value placed before a variable in an algebraic expression. here, the only variable is x, so, the coefficient is -2.

in other words, we can say that -2 is the coefficient of x.

Answer: -2

Step-by-step explanation:

Answer:

each cone=3

each scoop of vanilla=2

each scoop of strawberry=1

so:

1 cone 1 vanilla scoop 1 strawberry scoop=6

Answer: I think it is “the y-value is always positive” because none of the y-values are below the x-axis, which would make them negative. Hope I helped!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Radius ( r ) = 1 m

Height (h) = 10 m

Surface area of cylinder= ?

Now,

Surface area of cylinder :

[tex]2\pi \: {r}^{2} + 2\pi \: r \: h[/tex]

[tex] = 2\pi \: r \: (r + h)[/tex]

[tex] = 2\pi \: \times 1(1 + 10)[/tex]

[tex] = 2\pi \: \times 1 \: \times 11[/tex]

[tex] = 22\pi[/tex]

[tex] = 22 \: \times 3.14[/tex]

[tex] = 69.08 \: {m}^{2} [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

A

Step-by-step explanation:

Let me know If you want me to explain it.

Answer:

A. h = V/(pi * r^2)

Step-by-step explanation:

V = pi r^2 h

Divide both sides by pi r^2.

V/(pi r^2) = h

The h variable is isolated now.

Answer:

d) Vessels that are any length

Step-by-step explanation:

MSDs can be defined fully as Marine

Sanitation Devices. Marine Sanitation Devices are devices in the shape of a tank that is used for storing and treating of waste materials when marine vessels e.g. boats are on sea.

It is very inappropriate, unhygienic and illegal to dump waste materials at sea because this could cause harm to the aquatic life forms at sea. This is the reason why a marine sanitation device is required.

There are three types of MSDs

a) Type I

b) Type II

c) Type III

Marine Sanitation Devices are classified into types based on

1) The length of the vessels in which that are installed on.

2. The method for treating or breaking down the waste materials in the devices.

In the question above, the TYPE III MARINE SANITATION DEVICES CAN BE INSTALLED ON VESSELS THAT ARE ANY LENGTH.

This is because the Type III Marine Sanitation Devices are devices that stops the discharge or expelling of waste materials e.g sewage (whether have been treated or untreated) into the sea.

These type III MSDs is consists mainly of a tank used for holding and storing the waste materials. In this tank as well as other types of methods used for treating the waste which the includes incineration, composting e.t.c. may be found in the tank as well. Even after treating the waste in a Type III MSD, it can't be expelled into the sea , it can only be transferred to the Water Treatment Facility when the marine vessel comes to the seaport for more treatment and appropriate disposal.

Answer:

its wht u r searching for...

Answer:

Solution,

Principal=$1200

Rate=3%=3/100=0.03

Interest=$108

Time=?

Now,

[tex]t = \frac{i}{p \times r} [/tex]

[tex] = \frac{108}{1200 \times 0.03} \\ = \frac{108}{36} \\ = 3 \: years[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

[tex]P(Male) = \frac{1}{3}[/tex]

Step-by-step explanation:

Given

[tex]Male = 4[/tex]

[tex]Female = 8[/tex]

Required

Probability of selecting a male

First, we need to get the total population;

[tex]Total = Male + Female[/tex]

[tex]Total = 4 + 8[/tex]

[tex]Total = 12[/tex]

Let P(Male) represent Probability of Male

Let n(Male) represent number of Male

[tex]P(Male) = \frac{n(Male)}{Total}[/tex]

[tex]P(Male) = \frac{4}{12}[/tex]

Simplify fraction by dividing the numerator and denominator by 4

[tex]P(Male) = \frac{1}{3}[/tex]

Hence, the probability of selecting a male is 1/3

Answer: A

Slope = -6

Step-by-step explanation:

Given that the column of the table are:

Column X (-2,-1,0,1,2) and

Column Y (8,2,-4,-10,-16) 

Since the table represent a linear function, the equation of the function will obey the general linear equation

Y = MX + C

Where M = slope

M = ( Y2 - Y1 ) / ( X2 - X1 )

Let Y1 = 8, Y2 = 2 and X1 = -2 and X2 = -1

Substitutes all the parameters into the formula

M = ( 2 - 8 )/( -1 - - 2 )

M = ( 2 - 8 ) / ( -1 + 2 )

M = -6/1

M = -6

Therefore, the slope of the function is -6

Answer:

y= 2x +12

Step-by-step explanation:

Given:

The line parallel to the given has the same slope of 2, let's find the intercept using the given point:

So the equation is:

Answer:

D) "No, because for the 12 months in the year each date is not equally likely."

Step-by-step explanation:

For example, february does not have 31 days as well as april so it would not be a fair representation.

Answer:

X is a missing number . Find the missing number then multiply for example that 8 to the x then what the x is it’s the same number for all

Step-by-step explanation:

Step-by-step explanation:

i think the answer is -3 only

Answer: f⁻¹(x)=4x-56

Step-by-step explanation:

f⁻¹(x) is the inverse of f(x). To find the inverse, we replace the y with x, and x with y. Once we do that, we solve for y.

[tex]x=\frac{1}{4}y+14[/tex]                 [subtract 14 on both sides]

[tex]x-14=\frac{1}{4}y[/tex]                 [multiply both sides by 4]

[tex]4(x-14)=y[/tex]               [distribute 4]

[tex]4x-56=y[/tex]

[tex]f^-^1(x)=4x-56[/tex]