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An equilateral triangle has a side length of 40.

Another side of the same triangle measures 3x​ + y.
The third side of the same triangle measures 4x​ - 2y.
What are the values of x and y that would keep the triangle​ equilateral?

Answer:

57, the number repeats the most in the chart

9514 1404 393

Explanation:

In base 10, the digits we use to represent numbers are 0 to 9. Each location in a base-10 number has a place-value. That is, the value of the digit is dependent upon its place in the number.

Any number in base 10 can be written in expanded form like this:

  8765.432

  = 8·10³ +7·10² +6·10¹ +5·10⁰ +4·10⁻¹ +3·10⁻² +2·10⁻³

We hope you recognize that in this form, the place value of a digit is a power of the base, and that those powers increase to the left and decrease to the right. The "units" place has a power of 0.

__

Hexadecimal works the same way. In that base-16 number system, the digits 0-9 and A-F are used. The corresponding decimal values are ...

  A = 10, B = 11, C = 12, D = 13, E = 14, F = 15

As above, an expanded hexadecimal number would use powers of the number system base:

  A73B.16E

  = 10·16³ +7·16² +3·16¹ +11·16⁰ +1·16⁻¹ +6·16⁻² +14·16⁻³ . . . (all numbers decimal)

_____

The method of converting a number from hexadecimal is generally to evaluate the expanded form, as just shown. (The base-10 value of the number shown is 42,811.08935546875.)

There are a number of methods for converting numbers to hexadecimal. For integers, one can work right to left, with each successive digit of the hex number being the remainder from division by 16. The quotient is then used for developing further digits to the left.

Example:

  9243/16 = 577 11/16

  577/16 = 36 1/16

  36/16 = 2 4/16

  9243₁₀ = 241B₁₆

In the above, we have identified the base of the numbers being used with a subscript. If the base is understood, that is unnecessary. (However, it is useful in ambiguous cases.)

__

Some calculators have modes for converting and/or calculating with hexadecimal integers. They are generally limited to 48 bits (12 hex digits) or less. I have not seen any that convert or calculate fractions in non-decimal bases. There may be apps or web products that will do fraction conversion—generally for the purpose of showing you the IEEE-754 representation used internally by digital computers.

Question:

Consider a cookie recipe in which 1 1/2 cups of chocolate chips are needed to make 25 cookies. Lara wants to double the number of cookies. How many cups of chocolate chips should she use?

Answer:

[tex]Cups = 3[/tex]

Step-by-step explanation:

Given

[tex]Cups = 1\frac{1}{2}[/tex]

[tex]Cookies = 25[/tex]

Required

Number of cups when the cookies is doubled

When [tex]Cookies = 25[/tex], [tex]Cups = 1\frac{1}{2}[/tex]

So, when the number of cookies is doubled, the number of cups will also be doubled.

i.e.

[tex]Cookies = 25*2[/tex]

[tex]Cookies = 50[/tex]

and

[tex]Cups = 1\frac{1}{2} * 2[/tex]

Convert to improper fraction

[tex]Cups = \frac{3}{2} * 2[/tex]

[tex]Cups = \frac{3* 2}{2}[/tex]

[tex]Cups = \frac{6}{2}[/tex]

[tex]Cups = 3[/tex]

i.e. 3 cups are needed

Step-by-step explanation:

fresco didn't Divo ratify jdndodnswjskd ksosbwjw

Answer:

x = 8

Step-by-step explanation:

inversely proportional expression:  y = k/x where 'k' is the constant of variation

input x and y values to find 'k'

y = k/x

6 = k ÷ 2/3

6 = k · 3/2

cross-multiply:  3k = 12;  so, k = 4

now input 4 for k and 0.5 for y to find x:

0.5 = 4/x

0.5x = 4

x = 8

Answer:

The first term is 9 and the second term is 5.5, and the third term is r.

Step-by-step explanation:

Hope this helps! ^^

The Vertex is (-2,1)

And the focus is  (-2,3)

Answer:

x=3 ,y=6

Step-by-step explanation:

4x+6y=44 eqni

4x+2y=28 eqn ii

now subtract it eqn i and ii

4x+6y=44

-4x+2y=28

or, 0 +4y=24

or, 4y=24

or , y=24/4

or,y=6

putting value of y in eqn i

4x+6y=44

4x+6×6=44

4x=44-36

4x=12

x=12/4

x=3

Answer:

x>0.5

Step-by-step explanation:

multiply by 0.25 on both sides

x>0.5

Answer:

60mm   or   6cm

Step-by-step explanation:

108mm - 48mm = 60mm

Answer:

Step-by-step explanation:

Answer:

a)

Step-by-step explanation:

[tex]\sqrt{315}[/tex]  is approximately 17.8

17² = 289

18² = 324

315 is between 289 and 324

The value of the square root of 315 is 17.74 thus the two consecutive whole numbers 17.74 lie in between will be 17 and 18.

The number system is a way to represent or express numbers.

A decimal number is a widespread number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given square roots,√315

The value of √91 is 17.74823935

The whole number less than  17.74823935 is 17 and greater than  17.74823935 is 18.

Thus, 17 <  17.74823935< 18

Hence "The value of the square root of 315 is 17.74 thus the two consecutive whole numbers 17.74 lie in between will be 17 and 18.".

For more about the number system,

brainly.com/question/22046046

#SPJ5

Complete question :

Insulated concrete forms​ (ICF) can be used as a substitute for conventional wood framing in building construction. Heating and cooling bills will be about 60​% less than in a similar​ wood-framed building in upstate New York. An ICF home will be approximately 10​% more expensive to construct than a​ wood-framed home. For a typical 1,800 ftsquared2 home costing ​$130 ftsquared2 to construct in upstate New York and costing ​$260 per month to heat and​ cool, how many months does it take for a 1,800 ftsquared2 ICF home to pay back its extra construction​ cost?

Answer:

150 months

Step-by-step explanation:

Wood framing Construction cost :

Cost per ft² = $130

Total cost for 1800 ft² :

1800 * $130 = $234,000

Heating and cooling cost = $260

An ICF home:

Construction cost will be approximately 10% more expensive :

Hence, total cost of ICF = (1.1) * 234000 = $257,400

Extra cost on construction :

$257,400 - $234000 = $23,400

Heating and cooling cost ; 60% less expensive = (1 - 0.6) * $260 = $104

Saving in heating and cooling = $260 - $104 = $156 monthly

Number of months it takes to pay extra cost on construction :

Extra cost on construction / saving in heating & cooling

= $23,400 / $156

= 150 months

Answer:

OBTUSE

Step-by-step explanation:

You would first have to figure this put via Pythagorean theroem. Basically do this (attachment)***C IS THE LARGEST NUMBER*** and know that c^2 < a^2 + b^2 (less than) = ACUTE, c^2 > a^2 + b^2 (greater than) = OBTUSE, and c^2 = a^2 + b^2 is RIGHT. If it is Right with all different numbers, it is SCALENE.

Answer:

There is no solution to this problem.

Step-by-step explanation:

The 1 digit number cannot be 1, since there would be no remainder.

The 1 digit number cannot be 2, since the remainder could be 0 or 1.

The 1 digit number cannot be 3, since the remainder could be 0, 1, or 2.

So, the 1 digit number must be greater than 3.  Let's start with 4.  Since the quotient is 307 (remainder 3), 4 x 307 is already more than 3 digits.

Answer:

a)

Therefore to compare this data effectively using the rates per driver is better off like for people who do not smoke their rate will be = 59 / 452 = 13.1% while for smokers of 61+ times = 50 / 156 = 32.1% and this rate will show clearly tat more accidents where caused by people who smoked 51+ times hence it should be used for graphical representation

b) attached below

Step-by-step explanation:

A) A  useful graph is must compare rates rather than counts of accidents in the four marijuana use classes

Using the rates on a graph is better for reference like saying; that 50 crashes were caused by those who smoke 51+ times and 59 crashes is caused by those who never smoke this statistics makes it seem like smoking has no effect on the amount of accidents

Therefore to compare this data effectively using the rates per driver is better off like for people who do not smoke their rate will be = 59 / 452 = 13.1% while for smokers of 61+ times = 50 / 156 = 32.1% and this rate will show clearly tat more accidents where caused by people who smoked 51+ times hence it should be used for graphical representation

B) accident rate for Non-smokers

 = (59/452) * 100 = 13.05

accident rate for smokers between 1-10 times

= ( 36/ 229 ) * 100 = 15.72

accidents rate for smokers between 11 - 50 times

=  ( 15/50 ) * 100 = 21.42

accidents rate for smokers 51+

 =  ( 50 / 156 ) * 100 = 32.05

attached below is the required graph

Answer:

the first easy assignment for aii the students

the first day of school is go in to be in a while

Step-by-step explanation:

Answer:

the proportion of people who are sick after two weeks is 33.2%

Step-by-step explanation:

Given the data in the question;

Let there be 100 people in the city;

20% of them are sick( 20/100 × 100) = 20 people

so 80% are fine = ( 100 - 20 ) = 80

after one​ week, 40% of the people who were sick are still sick

40/100 × 20 = 8%

of the 80% of people who were well, 30% got sick after one week

30/100 × 80 = 24%

so after one week. 8% + 24% = 32% of the people were sick,

hence 68% are fine.

now, after second week 40% of sick and 30% of not sick people previously will be sick

∴ Total people who are sick after two weeks    

⇒ 40/100 × 32 + 30/100 × 68

= 12.8 + 20.4

= 33.2

Therefore, the proportion of people who are sick after two weeks is 33.2%

Answer: 9x+6y ≤10  

Step-by-step explanation:

Let x= number of packs of hot dogs .

y =number of packs of hamburger.

Total expenditure = (Charge per hot dog) (number of packs of hot dogs ) +(Charge per hamburger) (number of packs of hamburger.)

i.e. Total expenditure =9x+6y  ( in $)

Jerry can spend a maximum of $100 on the food.

So, Total expenditure ≤ $100

i.e. 9x+6y ≤10  [Required inequality]

The inequality that represents this situation:9x+6y ≤10  

Answer:

Step-by-step explanation:

(-4,0)

Answer:

The value of 39% would be called parameter.

Step-by-step explanation:

When a percentage refers to a sample, it is called a statistic.

When it refers to a population, it is called a parameter.

The sample of Indiana voters was intended to represent all Indiana voters;

This means that the percentage will be used with the following meaning:

"39% of all Indiana voters ..."

That is, referring to the entire population(in this case, all Indiana voters), so would be a parameter.

Answer:

Step-by-step explanation:

The least common multiple of 3 and 4 is 12. Divide the rectangle in twelfths.

⅓ = 4/12

¼ = 3/12

Answer:

On a standard running 400-meter track a mile is 4 laps… plus 9 more meters if you want to get all technical about it. A mile is specifically 1,609.3 meters.

Step-by-step explanation:

Answer:

7 = x^1/2.

Step-by-step explanation:

logx 7 = 1/2

Converting to exponential form ( the value of the log is the exponent and x is the base):

7 = x^1/2

Answer:

.B.An orthocenter can be outside of its triangle

Step-by-step explanation:

The orthocenter of a triangle is the intersection of the point drawn perpendicular from the vertices of the triangle. While normal equilateral triangles for instance have their point of intersection drawn inside the triangle, the orthocenter of a triangle of an obtuse triangle is outside of the triangle. A right angled triangle has its orthocenter drawn at the vertex of the right angle and really inside the right angled triangle.

Answer:

the probability that sales will be less than 81,000 packages is 0.6681

Step-by-step explanation:

Given that;

Average sales μ = 87,000

standard deviation σ = 4,000

x' = 81,000

P( x < 81,000) = ?

so

P( x < 81,000) = P( x - μ / σ )

we substitute

P( x < 81,000) = P( 81,000 - 87000 / 4000 )

P( x < 81,000) = P(  - 6000 / 4000 ) = -1.5

from table;

P( z < 1.5 ) = 0.6681

Therefore the probability that sales will be less than 81,000 packages is 0.6681