if we represent the length of a line by a, how may we represent the length of a line that is 3 inches shorter. If the combined length of the two lines is 15 inches, what is the length of each line?

Answers

Answer 1

Answer:

The lines' lengths are: 8 inches and 5 inches.

Step-by-step explanation:

Calling "a" the length of the line, a line that is 3 inches shorter can be written in math terms as:

a - 3

If the combined (added) length of these two lines is 15 inches, then we can write:

a + (a - 3) = 15

a + a - 3 = 15

2 a - 3 = 15

2 a = 15 + 3

2 a = 18

then

a = 18/2 = 9

Therefore, the length of one line is 8 inches, and the length of the shorter line is:

8 - 3 = 5 inches


Related Questions

solve for x -12 ≤ 44+ x

Answers

Answer:

x can be all real numbers

Step-by-step explanation:

x - 12 ≤ 44 + x

Subtract x from both sides.

-12 ≤ 44

This statement is true, so the inequality is true for all values of x.

Now let's see how this makes sense. Look at the original inequality.

x - 12 ≤ 44 + x

Rewrite as:

x - 12 ≤ x + 44

What does there inequality mean? Subtract 12 from a number, and compare that with adding 44 to the same number. Of course, a number minus 12 is always less than the same number plus 44. It makes sense that this inequality is true for all values of x.

Answer:

[tex]\large \boxed{\mathrm{All \ real \ numbers}}[/tex]

Step-by-step explanation:

[tex]x -12 \leq 44+ x[/tex]

Subtract x from both parts.

[tex]x -12 -x\leq 44+ x-x[/tex]

[tex]-12\leq 44[/tex]

This is true.

The value of [tex]x[/tex] is all real numbers.

This rectangle has side lengths or r and a for each expression say whether it gives the perimeter of the rectangle the area of the rectangle or neither

Answers

Answer:

to find the perimiter of a rectangle you use the formula which is P = 2 (L + W)

so it would be 2r + 2s

Step-by-step explanation:

A woman owns the W½ of the NW¼ of the NW¼ of a section. The adjoining property can be purchased for $2,300 per acre. How much would it cost the woman to purchase the part of the NW¼ of section she doesn't already own?"

Answers

Answer:

$322000

Step-by-step explanation:

A woman owns the W½ of the NW¼ of the NW¼ of a section.

= 640/2/4/4 = 20 acres

She wants to buy remaining of NW 1/4  = 640/4-20 = 140 acres.

It would cost = 140*2300 = $322000

Therefore, it cost $32000 to purchase the part.

What are the angles of a triangle

Answers

The angles inside a triangle are called interior angles. The diagram below shows the interior and exterior angles of a triangle. The three interior angles in a triangle will always add up to 180°. At each corner the exterior and interior angles are on a straight line, so at each corner these two angles add up to 180°.

 ━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

The (interior) angles of a triangle always add up to 180 degrees. To find the exterior angles of a triangle, subtract the interior triangle from 360 degrees.

The total degrees of any polygon is (n-2)×180 (n is the number of angles). 3-2 is 1 and 1 times 180 is 180. Therefore, the angles of a triangle always add up to 180 degrees.

 ━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Kyle entered to run in a 5K (5 kilometers) race. He wants to figure out how many miles are in the race. If there are 1000 meters in 1 kilometer, and 1 mile equals approximately 1609.34 meters, how many miles will Kyle run in the race? Round your answer to the nearest hundredth place.

Answers

Answer:

3.11 miles

Step-by-step explanation:

Hello!

First we have to get the distance into meters

The problem says there are 5 kilometers in a race and 1000 meters in a kilometer so 5 kilometers is 5000 meters

Now we turn the meters into miles

It says a mile is about 1609.34 so we can divide the amount of meters by how many meters are in a mile

5000/1609.34 = 3.106

Round to the nearest tenth

3.106 ⇒ 3.11

The answer is 3.11 miles

Hope this helps!

Eight less than three times x in a expression ​

Answers

Answer:

3x - 8

Step-by-step explanation:

I'd have to see a photo of the question, but eight less than three times x can be translated to 3x - 8.

Which state comparing the function is true

Answers

Answer:

the slope of W is less than the slope of Z

Step-by-step explanation:

Function Z

find slope take two points (0,15.8)  (1,15.76)

m=y2-y1/x2-x1

m=(15.76-15.8)/1-0

m=-0.04

the equation for function z : y=-0.04x+15.8

slope of W=-0.0625 which is less than -0.04

y intercept pf W=30, is greater than the y intercept of Z=15.8

Answer: The first statement is true.

Step-by-step explanation: The slope of function Z is -0.04 or - 1/25 The slope of function W is -0.0625 or -1/16.

Tricky! The absolute values of W are larger, but that makes the slope more negative.

A bean stalk doubled its height every day. This was a magical bean stalk that grew from
the magical beans that Jack planted, which he got from selling his mother's cow. The bean
stalk reached its full height in 100 days. How many days did it take to reach half its height?

Answers

Answer:

The number of days it take to reach half its height is 99 days

Step-by-step explanation:

The given parameters are;

The height to which the beans stalk grew daily = Twice the initial height

The time duration for the bean stalk to reach maximum height = 100 days

Therefore, the growth of the bean stock is in the form of a geometric progression with a common ratio, r = 2

The formula for a  geometric progression = a×r⁽ⁿ⁻¹⁾

Therefore, the height of the bean is given by the formula a×r⁽ⁿ⁻¹⁾

Where;

The first term = a  = 1 (for analysis)

The number of terms (days) = n = 100 for 100 days

Therefore, we have;

After 100 days, the height of the bean = 1×2⁽¹⁰⁰⁻¹⁾ = 2⁹⁹ = 6.34 × 10²⁹

Half the height = 6.34 × 10²⁹/2 = 3.1291265 × 10²⁹

Which gives;

1×2⁽ⁿ⁻¹⁾ = 3.1291265 × 10²⁹

n - 1 = ㏒(3.1291265 × 10²⁹)/㏒(2) = 98

Which gives;

n - 1 = 98

n = 98 + 1 = 99 days.

plz help Write an expression to represent each statement below: The sum of 3 times a number and 14 *

Answers

Answer:

3x*14

Step-by-step explanation:

The sum of = A number or addition

A Number = Variable or given number

And = Multiplication/Multiply By

The slope of a line is a measure of the steepness
True or false

Answers

Answer:

The answer is true

Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

HOPE IT HELPS, PLS MARK IT AS BRAINLIEST

1) What is the difference between rigid and non rigid motion?

Answers

Answer: Rigid motion is otherwise known as a rigid transformation and occurs when a point or object is moved, but the size and shape remain the same. This differs from non-rigid motion, like a dilation, where the size of the object can increase or decrease

Step-by-step explanation:

Evaluate each expression if a =2, b = -3 and c = -1 and d =4 (2d-a)>fraction with a b at the bottom

Answers

Answer:

-2

Step-by-step explanation:

[tex] \dfrac{2d-a}{b} = \dfrac{2(4)-2}{-3} = \dfrac{8-2}{-3} = \dfrac{6}{-3} = -2 [/tex]

what source is mayonnaise​

Answers

Answer:

Mayonnaise is made by combining lemon juice or vinegar with egg yolks. Eggs (containing the emulsifier lecithin) bind the ingredients together and prevent separation. Then, oil is added drop by drop as the mixture is rapidly whisked.

Find the value of x.
A.48
B.56
C.68
D.76

Answers

Answer:

A

Step-by-step explanation:

The secant- tangent angle 78° is half the difference of the intercepted arcs

[tex]\frac{1}{2}[/tex] (204 - x) = 78 ( multiply both sides by 2 )

204 - x = 156 ( subtract 204 from both sides )

- x = - 48 ( multiply both sides by - 1 )

x = 48

Answer:

A.) 48

Step-by-step explanation:

I got it correct on founders edtell

Find an equation of the line that passes through the given point and has the indicated slope m. Point Slope (−9, 6) m is undefined

Answers

Answer:

  x = -9

Step-by-step explanation:

A line with "undefined" slope is a vertical line. Its equation is of the form ...

  x = constant

If the line is to go through a point with an x-coordinate of -9, then that must be the value of the constant.

  x = -9

HELP MEE HURYyyYYYYYYYY

Answers

Answer:

45(1+2)

Step-by-step explanation:

Looking at you options, you can see that 45 is your Greatest common factor (GCF)

45 X 1 = 45

45 X 2 =90

45(1+2)

plesse help on 28 and 29

Answers

Answer:

28) Triangle

29) Ray

Step-by-step explanation:

28) A TRIANGLE is a polygon, but not a quadrilateral

29) A RAY had an endpoint, but it’s not a line segment

can anyone plz find the area

Answers

Answer:

A = 18 km ^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

A = 1/2 ( 10 ) * 3.6

A = 18 km ^2

Help please I need a little help I kinda don’t get it.

Answers

Answer:

12 eggs / 2 TBSP

24 eggs / 4 TBSP

Step-by-step explanation

depending on how much quiche you want, you can alter the recipe by doubling, tripling or even quadrupling the batch. For this example, every time 6 eggs were added, 1 tbsp of butter was added, so if we double that, 12 eggs were added and 2 tbsp of butter was added.

The accepted value of the average distance between Earth and the moon is 384, 467 km. If a scientist measures that the moon is 384,476 km form the Earth, what is the measurement's percentage error?

Answers

Answer:

Percentage error is 0.0024 %

Step-by-step explanation:

Initial average distance between Earth and moon = 384467 km  

Distance measure by the scientist = 384476 km

Total variation in the distance calculation = 384476 – 384467 = 9 km.

Now we can find the percentage by dividing the variation in distance from the initial measurement and then multiply with hundred.

Percentage error = ( 9 /  384467 ) × 100 = 0.0024 %

Why do you only need a single counterexample to show that a conditional statement is false?

Answers

Answer:

A conditional statement is something like:

If (a condition is true) Then (something is also true.).

What this says is that ALWAYS that the condition is met, then "something" is also true.

For example:

If A > 3, then A > 2.

This is always true, because if A is larger than 3, then A is always also larger than 2.

Now, if we find a single counter-example, then the "always" is false.

This would mean that the condition is not enough, as we found a case that meets the condition, but the second part of the conditional statement is not true.

For example, if i told you that:

If a number is greater than 234, then the number is also greater than 235.

Now, there are a lot of numbers that are larger than 234 and also are larger than 235.

But here we have a counter-example.

235 is larger than 234, so the initial condition is true, but 235 is not larger than 235.

Then we find a number that makes the statement:

"If a number is greater than 234, then the number is also greater than 235."

false.

a can of soup has a volume of 20 pi cubic inches. the diameter of the can is 4 inches. What is the height of the can

Answers

Answer:

5 inches

Step-by-step explanation:

A can is cylindrical in nature and volume of a cylinder is expressed as;

V = πr²h where;

r is the radius of the cylindrical can

h is the height of the can.

Given parameters

Volume of the can of soup = 20πin³

diameter of the can = 4inches

Since diameter = 2r

radius = d/2 = 4/2 = 2inches

Required parameter.

Height of the can

Substituting the given parameters into the formula to get the height h will give;

20π = πr²h

20 = r²h

20 = 2²h

20 = 4h

Divide both sides by 4:

4h/4 = 20/4

h = 5inches

Hence the heighr of the can is 5 inches

How do I factor e^2-10e+25

Answers

Answer: (e-5)^2

Step-by-step explanation:

The box method is a good way to solve this, but for a quick explanation, start by finding a single value that when added gets -10 and when multiplied gets +25. We can find that this term is -5. We the can situate -5 into (e-5)^2 equation, where if you FOIL, you will be back at the unfactored equation. Hope this helps

The factored form of e² - 10e + 25 is (e - 5)².

To factor the expression e² - 10e + 25, we can use the method of recognizing it as a perfect square trinomial. A perfect square trinomial is a quadratic expression of the form (a - b)², where 'a' and 'b' are constants.

In the given expression, e² - 10e + 25, the first term (e²) and the last term (25) are perfect squares, and the middle term (-10e) is twice the product of the square roots of the first and last terms.

So, we can rewrite the expression as:

(e - 5)²

Now, if we expand (e - 5)², we get:

(e - 5)(e - 5) = e² - 10e + 25

Therefore, the factored form of e² - 10e + 25 is (e - 5)².

To know more about factored:

https://brainly.com/question/1454998

#SPJ2

Can somebody help me solve this with an explanation?

Answers

Answer:

x=1

Step-by-step explanation:

10/x+2/x = 12

Combine like terms

12/x = 12

Multiply each side by x

12/x * x = 12 *x

12 = 12x

Divide by 12

12/12 = 12x/12

1 =x

Answer:

x = 1

Step-by-step explanation:

Combine the two fractions, which is easily done because the denominators are the same:

12

--- = 12, which can also be written as 12 = 12x.  Then x = 1

x

Rearrange the equation so x is the independent variable. y + 6 = 5(x-4)

Answers

Answer:

y = 5x- 26

Step-by-step explanation:

x is the independent variable, which means solve for y

y + 6 = 5(x-4)

Distribute

y+6 = 5x -20

Subtract 6 from each side

y+6-6 = 5x -20-6

y = 5x- 26

y = 5x- 26

↗️⬆️⬆️↖️

 Answer

The perimeter of the rectangle is 28 units.

What is the value of w?

5 units
7 units
14 units
15 units

Answers

Answer:

since we can't see the image, I'm just giving it a try

if it's wrong, it's fine for you to delete it

(see below)

Step-by-step explanation:

if one of the length is 5.6 units then the other will be 5 units

if one of the length is 4 units then the other will be 7 units

if one of the length is 2 units then the other will be 14 units

if one of the length is 1.86666666667 units then the other will be 15 units

if you're looking of an area, it might be 7 units

and I think that's all I've got

(hope it helps)

6. To check whether the rose bush lies on the circle, see if its coordinates make the
equation for the circle true. Show your work (2 points)

Answers

Part of question :

(x-10)^2+(y-10)^2=100

(16-10)^2+(18-10)^2=100

Answer:

Yes, equation of circle is true

Step-by-step explanation:

(x-10)^2+(y-10)^2=100

(16-10)^2+(18-10)^2=100

100=100

plugging the coordinates into the equation of the circle, we observe that the equation is true since both sides of the equation are equal(value on both sides of the equal sign are same). This wouldn't be true if for instance the left side of the equation evaluated to ≠100. Therefore we can conclude that the rose bush lies on circle since the equation is true

3x+4+5x+10 simplify combining like terms

Answers

Answer:

[tex]\Large \boxed{8x+14}[/tex]

Step-by-step explanation:

[tex]3x+4+5x+10[/tex]

Grouping the like terms.

[tex](3x + 5x) + (4+10)[/tex]

Combining the like terms.

[tex]8x+14[/tex]

Answer:

[tex] \boxed{ \bold{ \sf{ \huge{ \bold{8x + 14}}}}} [/tex]

Step-by-step explanation:

[tex] \sf{3x + 4 + 5x + 10}[/tex]

Collect like terms

Like terms are those which have the same base. Only coefficient of like terms can be added or subtracted.

⇒[tex] \sf{3x + 5x + 4 + 10}[/tex]

⇒[tex] \sf{8x + 4 + 10}[/tex]

Add the numbers

⇒[tex] \sf{8x + 14}[/tex]

Hope I helped!

Best regards!!

Which term does not belong with the other three? AB plane CDE FG HI ​

Answers

Answer: your answer should be HI i hope it helps

At a benefit concert, 13 bands have volunteered to perform but there is only enough time for eight of the bands to play. How many lineups are possible?

Answers

Answer: 51891840

Step-by-step explanation:

Given : Total bands = 13

Possible number of bands can perform= 8

For arranging in order we use permutations.

By using permutations, the number of  lineups are possible = [tex]^{13}P_8=\dfrac{13!}{(13-8)!}[/tex]

[tex]=\dfrac{13!}{5!}\\\\=\dfrac{13\times12\times11\times10\times9\times8\times7\times6\times5!}{5!}\\\\=51891840[/tex]

Hence, there are total 51891840 line ups are possible.

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