Elizabeth writes down: One multiple of 13; and Two different factors of 77. Elizabeth adds up her three numbers. Her answer is greater than fifty but less than sixty. What three numbers could Elizabeth have written down?​

Answers

Answer 1

Answer:

7, 11, 39 OR -26, 1, 77;

Step-by-step explanation:

Mumble. Let's call the first number 13k, which is obviously a multiple of 13.

The factor of 77 are easy to find. It's either 77 and 1, or 11 and 7.

Now two cases. If we consider negative multiples of 13 (ie, -39 is -3 times 13) we can use the first pair (77 and 1, who sum up to 78, and start taking 13 from it as many times as we need to get to our interval.

1st pass: 78-13 = 65 out

2nd pass: 65-13 = 52 in

3rd pass : 52 - 13 = 39 out

So a possible triplet is 77, 1 and -26.

Case two: we aren't allowed to take negative numbers, and 77 and 1 will bring out of our range already. Let's stick to 11 and 7, who sum up to 18. Again, let's keep adding 13 as many times as we need

1st pass: 18+13 = 31, no good

2nd pass: 31+13 = 44, out again

3rd pass: 44+13= 57, we're good!

4th pass: 57+13 = 70, too far.

So another possible triplet is 7, 11, 39.

The moment you allow the product of the second and third number to be rationals will open a whole new can of worm that isn't any close to be interesting or fun to explore.


Related Questions

Sprinters who run 100 yards now often run 100 meters.

How many meters longer to the nearest tenth is 100 meters than 100 yards?

Enter the correct answer in the box.

Answers

Answer:

100 meters is 8.6 meters longer than 100 yards.

Step-by-step explanation:

Conversion of yards to meters.

Each yard has 0.914 meters.

So 100 yards is 100*0.9144 = 91.4 meters.

How many meters longer to the nearest tenth is 100 meters than 100 yards?

100 yards = 91.4 meters

100 - 91.4 = 8.6

So 100 meters is 8.6 meters longer than 100 yards.

I need help i have no clue what to do!

Answers

Answer:

-2x-6y= -14 (i)

-6x-2y= -26 (ii)

Multiply eq (i) by 3

-6x-18y= -42 (iii)

-6x-2y= -26 (ii)

Subtract eq (iii) from ii

-6x -18y = -42

+6x+2y = +26

_______________

0 - 16y = -16

●y= 1

Put y =1 in eq 1

-2x -6 (1) = -14

-2x = -14 + 6

-2x = -8

●x =4

x=4 y=1

BRAINLIST PLS

In a 30 minute show 12 minutes of airtime are spent on commercials. Determine what percent of the television show air time is spent on commercial

Answers

12 out of 30 minutes are commercials
The fraction would be 12/30 which can be simplified to
2/5

which is 40%

Find the perimeter. Simplify your answer.

Answers

Answer:

3z+13

Step-by-step explanation:

Perimeter is found by adding all the sides

z+2+z+2+z+9

3 z variables  2+2+9=13

Simplified equals

3z+13

Hope this helps!

Please mark this answer as brainiest :)

Answer:

Step-by-step explanation:

z+2 + z + 2 + z + 9 = Perimeter               Collect like terms

3z + 13 = Perimeter

What is the measure of angle 1 in the diagram 42 30 1 2

Answers

Answer:

The answer is no doubt about it

it’s 30!


it’s the middle number

Which of the following correct shows the next two
terms after -40 in the pattern?

Answers

Answer:

I believe the answer is B. 80, -160

Step-by-step explanation:

The pattern involves multipling by -2 so the term after that would be 320!

Complete the recursive formula of the arithmetic sequence -1, -13, -25, -37
a ( 1 ) =
a ( n ) = a ( n-1 ) +

Answers

Answer:

see explanation

Step-by-step explanation:

A recursive formula allows the next term in a sequence by adding the common difference d to the previous term.

d = a₂ - a₁ = - 13 - (- 1) = - 13 + 1 = - 12 , then

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 12 with a₁ = - 1

Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee (thank you :)











































(cAt)

Answers

Answer:

X = 2

equation x [tex]\leq[/tex] 2

Step-by-step explanation:

You Factor out the common term 2 which will look like [tex]\frac{2(2x+1)}{5} \leq 2[/tex]

You do this because if you multiply 2*2x and 2*1 you will get 4x+2

Now you will multiply 5 on both sides to turn it into an equation and not a fraction [tex](5)\frac{2(2x+1)}{5}\leq 2 (5)[/tex]

So you would cross out the 5 on the left and the 5 as the denominator to make this an equation and multiply 2 by 5 to get ten your equation will look like            [tex]2(2x+1)\leq 10[/tex]

So now that you have your equation you divide both sides by 2 [tex]\frac{2(2x+1)}{2} \leq \frac{10}{2}[/tex]

you cross out the 2 on the left and 2 as the denominator and divide 10 and 2 to get 5.         [tex]2x+1\leq 5[/tex]  

Now you subtract one from both sides    [tex]2x+1\leq 5\\-1=-1\\2x=4[/tex]

you'll get 2x=4

divide both sides by 2 to get x=2

To check you will insert 2 into the original equation [tex]\frac{4x+2}{5} \leq 2[/tex]

[tex]\frac{4(2)+2}{5} \leq 2 = \\\frac{10}{5} \leq 2=\\2\leq 2[/tex]

since the sign means less than or equal to 2 you can say that [tex]2\leq 2[/tex] is a correct inequality equation

Find the value for each variable.

Answers

the value of variable x is 55 answer ok . angle q is 35 p is 90

M and P = 90
N and Q = 35
R= 55

The box plots below show the average daily temperatures in January and December for a US city:
January
TH
December
What can you tell about the means for these two months (1 point)

Answers

Answer:

like i said no graph i cant help

Step-by-step explanation:

Se tiene la siguiente proporción 2/5=8/x cual es el valor de x para que esta sea verdadera?

Answers

Es 20 si divides 2/5 te da 0.4 y si divides 8/20 te da 0.4 lo que hace que 2/5 = 8/20 sea verdad

Is that the right answer plzzz help mee

Answers

Answer:

You are correct

how do you solve this I'm on a time crunch

Answers

Answer:

19.59≈20

Step-by-step explanation:

Have a nice day

Using Pythagoras Theorem we can find the 3rd side of a right angled triangle.

Steps are there in the image I attached.

Hope it helps you...

Please mark as Brainlliest!!!

A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood. They are: 2,400; 1,750; 1,900; 2,500; 2,250; 2,100 Which of the following represents the numerator in the calculation of variance and standard deviation? (225)2 (â€"425)2 (â€"275)2 (325)2 (75)2 (â€"75)2 = 423,750 (650)2 (â€"150)2 (â€"600)2 (250)2 (150)2 (â€"300)2 = 980,000 (250)2 (â€"400)2 (â€"250)2 (350)2 (100)2 (â€"50)2 = 420,000.

Answers

Answer:

∑[ (250)2 (400)2 (250)2 (350)^2 (100)2 (50)2] = 420,000.

Step-by-step explanation:

You first calculate the mean which is  is 2150.

You then subtract 2150 from the 6 values in turn

The first one = 2400 - 2150 = 250.

Then you square each of the 6 results and add them up - this comes to 420,000.

Consider a graph of the equation y = −3x + 4. What is the y-intercept? 4 −4 3 −3

Answers

Answer:

The y-intercept is 4

Step-by-step explanation:

in y=mx+b, the b will always be your y-intercept

I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY NOOOO SCAMS

Answers

Answer:

8

Step-by-step explanation:

Ik it is cus ik my number lines

PLS MARK ME BRAINLIEST

Answer:

I think it's 8 I'm not sure

If x=4 then 2(x-4) equals

Answers

First, since we know the value of x, we can plug that into the equation: 2(4-4)
Now, according to PEMDAS, solve inside the parentheses first: 2(0)
Lastly, we can multiply: 2 x 0 = 0

Answer:

0

Step-by-step explanation:

Need to plug in the x to the 4 then u get 2(4-4)

After that it will equal to 0 the 4-4

2(0)=0

What will be the height of the triangle, if its area is 105 m 2 and the base is 15 m?​

Answers

Answer:

14 m

Step-by-step explanation:

Given,

Area of the triangle

[tex] = {105m}^{2} [/tex]

Base of the triangle

= 15m

Let,

Height of the the triangle be h

Therefore,

By the problem,

[tex] = > \frac{1}{2} \times base \times height = 105[/tex]

(On putting values)

[tex] = > \frac{1}{2} \times 15 \times h = 105[/tex]

(On putting the known values on one side)

[tex] = > h = \frac{105 \times 2}{15} [/tex]

(On Simplification)

=> h = 7 × 2

(On multiplying)

=> h = 14m

Hence,

The req. height of the triangle is 14 m (Ans)

Answer:

The answer is 14 m.

Step-by-step explanation:

Area = [tex]105^{2}[/tex]

Base = 15 m.

Height = ?

The formula for finding the area of triangle is

[tex]A = \frac{h_{b}b}{2}[/tex]

Put the values in the formula

[tex]105 = \frac{h_{b}15 }{2}[/tex]

Use MPE or Multiplication Property of Equality

210 = 15[tex]h_{b}[/tex]

Now use DPE or Division Property of Equality

[tex]\frac{210}{15} = \frac{15_{hb} }{15}[/tex]

14 = [tex]h_{b}[/tex]

The height of the triangle is 14 m.

To check, multiply the height and base to get the area.

14 * 15 = 105 [tex]m^{2}[/tex]

Simplify the following expression.

-3m + (-2x) + 4m + 2x

Answers

Answer:

[tex]m[/tex]

Step-by-step explanation:

Combine like terms

[tex]-3m+(-2x)+4m+2x[/tex]

[tex](-3m+4m)+(-2x+2x)[/tex]

[tex](1m)+(0)[/tex]

[tex]m[/tex]

Answer:

m

Step-by-step explanation:

Simplify like-terms first:

-3m + (-2x) + 4m + 2x

m + (-2x) + 2x

Both x's cancel each other out, so you're left with:

m

pLS HELP ME 15 points in total

Answers

Answer:

Its 53 because 1=1 and 2=2

Step-by-step explanation:

What is the measure of x?
Z
Х
ТУ
4
9
x = [?] ✓
=
Give your answer in simplest form.
Enter

Answers

Answer:

  x = 2√13

Step-by-step explanation:

The geometric mean relationships in this geometry tell you that x is the geometric mean of the short segment of the hypotenuse (4) and the entire hypotenuse (13).

  x = √(4·13)

  x = 2√13

__

For more information, see https://brainly.com/question/25712788

The area of the hexagon pictured above is ___ units2. Round answer
to the hundredths.

Answers

Answer:

The formula for the area of a hexagon is Area = (3√3 s2)/2; where 's' is the length of one side of the regular hexagon. The formula for the area of a hexagon can also be given in terms of the apothem as, Area of hexagon = (1/2) × a × P; where 'a' is the length of the apothem and 'P' is the perimeter of the hexagon.

Find the time it takes for a rocket following the path, h(x) = -2x2 + 18, to hit the ground. 2 sec 3 sec 8 sec 9 sec

Answers

The time it takes for a rocket  to hit the ground is 3 seconds

Step-by-step explanation:

We are given equation for height as

where

x is the time in seconds

When object hits the ground

then height becomes 0

so, we can set h(x)=0

and then we can solve for x

Subtract both sides by 18

So,

the time it takes for a rocket  to hit the ground is 3 seconds

Trevor has a collection of 600 dinosaur trading cards. If he has 60 pages in an album, how many cards can Trevor put on each page?

1

4

10

4

Answers

Answer:

10

Step-by-step explanation:

600 divided by 60 is 10

graph the line with slope -3 passing through the point (4, -3)

Answers

Answer:

my suggestion to you is that you use a ruler and a piece of paper to draw out the graph then plot the point down and draw the line.

(I hope this helps you!)

What is 45.5% in simplest form?

Answers

Answer: 45.5/100 = 455/1000

Step-by-step explanation:

Step-by-step explanation:

45.5% in its simplest form is

[tex] \frac{91}{2} [/tex]

but 45.5% =

[tex] \frac{91}{2} \ \times 100 = \frac{91}{200} [/tex]

f(x)=X^2+2x-3
HELPPPP FINAL

Answers

First, you factor the equation

(x-1)(x+3)=0

x=1,-3

Hope this helps :)) and btw another resource for this type of question would be desmos graphing calculator where you could just enter in the euqaoitn and get the answer!

Determine whether the following ratios are equivalent. (9:12 and 24:18)

Answers

0111100109090909099999999999999999

Happy late Thanksgiving!!!

Answers

Answer:

You too!!

Step-by-step explanation:

Let P be between M and N use the segment addition postulate to solve for X

Answers

Step-by-step explanation:

given,

MP = x - 8

PN = 3x - 9

MN = 21

we know,

according to segment addition postulate AB + BC = AC

now,

MP + PN = MN

x - 8 + 3x - 9 = 21

4x - 17 = 21

4x = 21 + 17

4x = 38

x = 38/4 = 9

x = 9

therefore, value of x is 9.

hope this answer helps you dear! take care

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