one-third of a number is at least 5 units from 31

Answers

Answer 1

Answer:

6

Step-by-step explanation:

5^2+6=31

25+6=31

31=31

proved

Answer 2

One-third of the number is at least 5 units from 31. The number is 78.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that one-third of a number is at least 5 units from 31. The unknown number is x.

( 1 / 3 )x + 5 = 31

x + 15 = 31 x 3

x + 15 = 93

x = 93 - 15

x = 78

Therefore, one-third of the number is at least 5 units from 31. The number is 78.

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Related Questions

15 m
4 m
4 m
160°
5 m
Find the area of the figure. Round your answer to the nearest tenth.

Answers

Answer:

17.3

Step-by-step explanation:

[tex](2 \sqrt{3}) \times 5 = 17.3[/tex]

Write the values in the boxes that make the statement true

Answers

Answer:

[tex]\frac{5}{3}xz^8*9x^6y^0z^2 = 15x^7z^{10}[/tex]

Step-by-step explanation:

Given

[tex]\frac{5}{3}xz^a*bx^cy^dz^2 = 15x^7z^{10}[/tex]

Simplify

[tex]\frac{5}{3}b*x^{1+c}z^{a+2}y^d = 15x^7z^{10}y^0[/tex]

Compare left and right sides and

Find b:

[tex]\frac{5}{3}[/tex] b = 15 ⇒ b = 15*3/5 = 9

Find c:

1 + c = 7 ⇒ c = 7 - 1 = 6

Find a:

a + 2 = 10 ⇒ a = 10 - 2 = 8

Find d:

d = 0

Solution is:

[tex]\frac{5}{3}xz^8*9x^6y^0z^2 = 15x^7z^{10}[/tex]

Find the value of x.

Can someone help please?

Answers

5 I think it’s the only right answer

Mark pays $4.68 for 0.72 of a pound of almonds. How much is one pound of almonds?

Answers

Answer:
The answer is 6.50
Step-by-step explanation:
To solve and to find the cost ratio, we will do the cross multiplying process;
4.68 = x
0.72 1
Next, we will solve for x;
0.72x = 4.68
x = 4.68 / 0.72
x = 6.50

Answer:

$6.50/lb

Step-by-step explanation:

4.68/0.72 = $6.50/lb

SOMEONE DO THIS QUICKLY! ITS DUE IN AN HOUR

Answers

Answer:

10. Y=151°

Z=29°

X=29°

11.

y: 61°

X: 151°

z:119°

12.

y:125°

x:55°

z:55°

13.63°

14.115°

15.131°

16.X=13°

17.X=4°

18.X=21°

19= X=7°

20= X=12°

21= X=9

AHahahaahhahhah please please help no links please

Answers

Answer:

45

The scale factor is 9

So, 5 x 9 = 45

f(x) = -2x + 9 What is f(2h) ?

Answers

Answer:

f(2h) = -4h + 9

Step-by-step explanation:

Jacob:  Start with the given function f(x) = -2x + 9 and replace 'x' with 2h:

f(x) = -2x + 9 becomes:

f(2h) = -2(2h) + 9, or

f(2h) = -4h + 9

Answer:

-4h + 9

Step-by-step explanation:

f(x) = -2x + 9

f(2h) = -2(2h) + 9

f(2h) = -4h + 9

What is the mean for the data set below

Answers

Answer:

B) 8.5

Step-by-step explanation:

[tex]8+10+6+4+12+6+8+14=68\\\\\frac{68}{8} =\boxed{8.5}[/tex]

Option B should be the correct answer.

Hope this helps.

Nolan reports the weather for TV 12's popular afternoon news show. Last month, he tracked
the noon temperature each day in the two largest cities in the area, Hooverville and Deeson
City.
Which city had a lower median temperature?
Hooverville
Deeson City

Answers

Answer:

Hooverville

Step-by-step explanation:

The Hooverville has lower median temperature.

What is Box and Whisker Plot?

A box and whisker plot is a method for abstracting a set of estimated data using an interval scale. Another name for it is simply a box plot. Most of the time, these are used to interpret data. It is one kind of graphical method that shows how the data in the dataset changes. The histogram can also be used to show the data. However, the histogram provides an adequate display. Since multiple sets of data can be displayed in the same graph, a box and whisker diagram will provide additional information, making it superior to a histogram.

Given Box and Whisker Plot of two cities which show's the  noon temperature each day,

From the graph Median of Hooverville is 36 and

median of Deeson City is 38

we can say that Hooverville has lower median temperature.

Hence the lower median temperature is of Hooverville.

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Carol has eight and 4 3/4 yard of material do you need to use 1/3 material to make a dress how many yards of material will she need to make the dress

Answers

Answer:

2 11/12

Step-by-step explanation:

(1/3)×(35/4=35/12=2 11/12 yards

IV
Une porte est munie d'un dispositif portant les touches 1; 2; 3; 4; 5; 6 ; A;B; C.
La porte s'ouvre lorsqu'on compose un code formé de trois chiffres distincts suivis d'une lettre .
1° Déterminer le nombre de codes possibles.
2º Déterminer le nombre de codes si les trois chiffres sont impairs .

Answers

Answer:

1. 648

2. 81

Step-by-step explanation:

1.

6 * 6 * 6 * 3 = 648

2.

3 * 3 * 3 * 3 = 81

What is the best estimate for 42% of 68?

Answers

Answer:

29 when rounded up 27 when rounded down and 28.56 in genral

Step-by-step explanation:

Answer:

28 or 30

Step-by-step explanation:

42 to 40 and 68 to 70 then

hope this helps :b

B3BB
Which graph represents the solution set of the inequality x+226?
986
08
4
9 S
7
8
6
+
0 1 -
SS 986
1
2
3
S
6
7
6 8
1 S 986
0
1
2 3
4.
5
9
7 8 9
0
1
2
S
4
5
9
B 2
6

Answers

Answer:

C is correct

Step-by-step explanation:

Firstly, we have to solve for x in the solution set of the inequality

We have this as follows;

x + 2 ≥ 6

x ≥ 6-2

x ≥ 4

To graph this, we consider the middle sign which is greater than or equal to

So, the inequality sign has to face the right side

secondly, it has to be shaded on the point 4 due to the fact that it has the ‘equal to’ beneath the single inequality symbol

so, the correct answer here is option C

This year, The Springfield Times had 11,322 subscribers. That is 85% more than they had last year, before the paper was bought out. How many subscribers did the paper have last year?

Answers

Answer:

The paper had 1698.3 subscribers last year.

Step-by-step explanation:

11,322 * 85% = 9623.7

11,322 - 9,623.7 = 1698.3

So, the answer is 1698.3

Hope this helps! :)

Find the output y when the input x is -4
y=?

Answers

Answer:

[tex]y=1[/tex]

Step-by-step explanation:

on the graph find the x value -4 then find the y value where the line is.

Answer:

y = 1

Step-by-step explanation:

taking x as - 4

plotting it on a graph and cross pointing from hence the y will be like a straight line before it came down to -4

Is "three less than a number" equivalent to "the difference of three and a number?"
Explain your answer.

Answers

I’ll use “x” as “a number”

So it’s basically asking if-

X-3=X-3

Obviously the answer is yes.
X-3 is equal to X-3.

In UVW, u=51 inches,v= 61 inches and w= 62 inches.find the measure of angle V to the nearest degree

Answers

Answer:

49degrees

Step-by-step explanation:

Using the cosine rule

u² = v²+w²-2vwcosU

Substitute the given values

51² = 61²+62²-2(61)(62)cosU

2601 = 3721+3844-7564 cosU

2601 = 7565-7564cosU

-7564cosU = 2601-7565

-7564cosU = -4964

CosU =-4964/-7564

CosU = 0.6563

U = arccos(0.6563)

U = 49degrees(to nearest degree)

Choose the <,>,= symbols to answer the question

Answers

Answer:

1. >

2,<

3.<

4.>

5,>

6.<

7.>

8.>

Step-by-step explanation:

The area of a trapezoid is 216 in2 and it two bases are 14 and 22 inches long. Find the height of the trapezoid.

Answers

Answer:

12 inches

Step-by-step explanation:

The formula for a trapezoid is

A = 1/2(a +b)h

The formula to find the height =

h = 2A/a + b

A= 216 in²

a =14 in

b = 22 in

Hence,

h = 2 × 216/14 + 22

h = 12 inches

The height of the trapezoid = 12 inches

Find the volume of a right circular cone that has a height of 16 m and a base with a
circumference of 14.7 m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer:

Step-by-step explanation:

Start earning $78/hourly for working online from your home for few hours each day... Get regular payment on a weekly basis... All you need is a computer, internet connection and a little free time..... Read more here... www.Nifty2.com

Match each function with its inverse function. Use function composition to determine your answers.
Please help

Answers

Answer:

For f(x) =  x^2 - 2x + 1, the inverse is g(x) = √x + 1

For f(x) = 2 - 5*x the inverse is g(x) = (2 - x)/5

For f(x) =  5*(x - 2) the inverse is g(x) = x*(1/5) + 2

for f(x) = (x - 2)^2 - 1 the inverse is g(x) = √(x + 1) + 2

Step-by-step explanation:

If we have two functions f(x) and g(x) such that these functions are inverse, then we have:

f( g(x)) = x

and

g( f(x)) = x

Let's start with the function:

f(x) = x^2 - 2x + 1

Notice that we can rewrite this as:

f(x) = x^2 - 2*x + 1 = (x - 1)^2

Because this is a quadratic function, the inverse function needs to have a square root, then the inverse function can be the third or fourth one.

Let's try with the last one:

g(x) = √x + 1

Then:

f( g(x)) = ( √x + 1 - 1)^2 = (√x )^2 = x

g( f(x)) = √(x - 1)^2 + 1 = (x - 1) + 1 = x

Then for the function:

f(x) = x^2 - 2x + 1, the inverse is: g(x) = √x + 1

Now let's find the inverse for the second function:

f(x) = 2 - 5*x

The inverse of this function will be also a linear function, and the slope of the inverse will be the inverse of this slope, then the inverse may be the first or second options.

Let's try with:

g(x) = (1/5)*x - 2

Then:

f( g(x) ) = 2 - 5*((1/5)*x - 2) = 2 - x + 10

Then this g(x) is not the inverse of the function.

Let's try with g(x) = (2 - x)/5

Then:

f( g(x)) = 2 - 5*(2 - x)/5 = 2 - 2 + x = x

g( f(x)) =  (2 - 2 - 5*x)/5 = 5*x/5 = x

For the function f(x) = 5*(x - 2)

The inverse should be the remaining linear function:

g(x) = x*(1/5) + 2

Then:

f( g(x)) = 5*(x*(1/5) + 2 - 2) = 5*x*(1/5) = x

g( f(x)) = (5*(x - 2) )*(1/5) + 2 = (x - 2) +2 = x

For the last function, f(x) = (x - 2)^2 - 1

The inverse function will be:

g(x) = √(x + 1) + 2

The compositions are:

f( g(x)) = (√(x + 1) + 2 - 2)^2 - 1 = (√(x + 1))^2 - 1 = (x + 1) - 1 = x

g(f(x)) = √((x - 2)^2 - 1 + 1) + 2 = √((x - 2)^2 + 2 = x

Answer:

PLATO ANSWER

Step-by-step explanation:

Drag the tiles to the correct boxes to complete the pairs.
Match the numbers in scientific notation with the corresponding numbers in standard notation.
2.32E9
2.32E8
4.31E-13
4.31E-6
232,000,000
0.00000431
2,320,000,000
0.000000000000431​

Answers

Answer:

the photo below

Answer:

2.32 · 10^9 = 2,320,000,000.

2.32 · 10^8 = 232,000,000.

4.31 · 10^-13 = 0.000000000000431​

4.31 · 10^-6 = 0.00000431

if a water jug has a volume of 5000cm3 and a height of 45cm, what is the diameter of the jug?
a) 22cm
b) 9.5cm
c) 12cm
d) 15.6cm

Answers

If the water jug is in cylindrical shape the answer should be 12 cm

Expressions equivalent to 3^10

Answers

Answer:

59049+0

59048.1+0.9

59048.01+0.99

...

Step-by-step explanation:

There's infinite.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3^{10}}[/tex]

[tex]\mathsf{= 3\times 3\times3\times 3 \times 3\times 3\times3\times3\times3\times3 }[/tex]

[tex]\mathsf{3\times3 = \bf 9}[/tex]

[tex]= 9\times9\times 9\times 9\times9[/tex]

[tex]\mathsf{9\times9 = \bf 81}[/tex]

[tex]\mathsf{= 81\times81\times 9}[/tex]

[tex]\mathsf{81 \times 81 = \bf 6,561}[/tex]

[tex]\mathsf{= 6,561\times9}[/tex]

  [tex]\mathsf{\bf = 59, 049}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 59,049}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

The area of a triangle is 36 cm square. Give three possible sets of dimensions for the triangle and explain whether or not you can also give the triangles' side length.

Answers

Answer:

[tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

[tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

[tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

Step-by-step explanation:

Given

Shape: Triangle

[tex]Area = 36cm^2[/tex]

Solving (a): Three possible dimensions

The area of a triangle is:

[tex]Area = 0.5 * Base * Height[/tex]

Let: [tex]Base = 6cm[/tex]

So, we have:

[tex]36= 0.5 * 6* Height[/tex]

[tex]36= 3* Height[/tex]

Solve for Height

[tex]12 = Height[/tex]

[tex]Height = 12[/tex]

So, a possible dimension is: [tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

Let: [tex]Base = 4cm[/tex]

So, we have:

[tex]36= 0.5 * 4* Height[/tex]

[tex]36= 2* Height[/tex]

Solve for Height

[tex]18 = Height[/tex]

[tex]Height = 18[/tex]

So, a possible dimension is: [tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

Let: [tex]Base = 9cm[/tex]

So, we have:

[tex]36= 0.5 * 9* Height[/tex]

[tex]36= 4.5* Height[/tex]

Solve for Height

[tex]8 = Height[/tex]

[tex]Height = 8[/tex]

So, a possible dimension is: [tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

So, the three possible dimensions are:

[tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

[tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

[tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

Solving (b): Can the side lengths be given

We can only determine the base and the height of the triangle, the third side length can not be determined using the available information

Convert 60% into a decimal and a Fraction(Simplify)
Decimal
Fraction

Answers

Answer:

decimal: .6

fraction: 3/5

6x-4(3x-5)=2 solve for x.

Answers

Answer:

x = 3

Step-by-step explanation:

6x -4(3x-5) = 2

6x - 12x + 20 = 2

-6x = 2 - 20

-6x = -18

x = 3

Amy would like to spend at most $100 on lunches for the month. After the first day, Amy had spent $25. At most, how much money can Amy still spend?

Answers

Answer:

for the whole month $75.00 for each day around $2.60

Step-by-step explanation:

$100-$25=$75

$75÷29=$2.60 (rounded)

full number is $2.586206896551724

Can I please have Brainliest?

Which of the following represents a solution to the equation d3 - 343?

Answers

I don’t see any multiple choice but d3 -343 is factored as (d-7)(d^2+7d+49)

Please answer fast, it’s due in a hour.

Answers

Answer:

100.48 units³

Step-by-step explanation:

Volume of Cylinder: V = πr²h

volume = pi × radius² × height

V = 3.14 × 2² × 8

V = 100.48 units³

Answer:

100.84^units

Step-by-step explanation:

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