Anna says that 5 1/3 is not a rational number because it’s not in the fraction form of a/b. Do you agree? plsss help

Answers

Answer 1

Answer:

No.

Step-by-step explanation:

A rational number is a number that can be written in the form a/b, where a and b are integers. A rational number does not have to be written in the form a/b. I just needs to be able to be written in that form.

Can 5 1/3 be written as a fraction of integers?

5 1/3 = 5 + 1/3 = 15/3 + 1/3 = 16/3

5 1/3 = 16/3

16/3 is in the form a/b, where a and b are integers.

Since 5 1/3 can be written as a fraction of integers, it is rational.

Anna is incorrect.


Related Questions

20. Write the following equation in slop intercept form. -4x-3y=-18.
21. Write the following equation in slope intercept form. -2x+3y=21

please show your work and thank you.

Answers

Step-by-step explanation:

slope intercept form y=mx+b

you just need to move the letters and numbers around to match this.

-4x-3y=-18

add 4x to both sides of the equal sign

-3y =4x-18

divide by negative 3 on both sides

y = -4/3x + 6

21. -2x+3y=21

add 2x to both sides

3y = 2x + 21

divide by 3 on both sides

y = 2/3x +7

x-7= -3(x+1) over 5

What is x?

Answers

Answer is x=4. Multiply by 5 on each side to cancel out the denominator.
5x-35=-3x-3
Add 3x and 35 to each side
5x + 3x = -3 + 35
8x = 32
Divide both by 8
X = 4

Estimate each square root to the nearest hundredth of 32. Show your solution!​

Answers

Answer:

[tex]{ \rm{ \sqrt{32} = \sqrt{2 \times 16} }} \\ \\ = { \rm{ \sqrt{2 \times 4 \times 4} }} \\ \\ = { \rm{ \sqrt{2} \times( \sqrt{4}) {}^{2} }} \\ \\ = { \rm{ \sqrt{2} \times 4 }} \\ \\ = { \rm{4 \sqrt{2} }} \\ \\ { \rm{ \sqrt{32} = 5.656854....}} \\ \\ { \boxed{ \rm{ \sqrt{32} = 5.66 \: }}}[/tex]

9514 1404 393

Answer:

  5.66

Step-by-step explanation:

For an integer x = s² +r, where s and r are also integers, a first approximation of the square root of x will be ...

  y = √x ≈ s +r/(2s+1)

An iterative improvement on the estimate can be had by ...

  y' = s + r/(s +y)

Here, this means a first estimate can be obtained as ...

  32 = 5² +7   ⇒   s = 5, r = 7

  √32 ≈ y1 = s +r/(2s +1) = 5 7/11

Then an iterative improvement will be ...

  y2 = s +r/(s +y1) = 5 +7/(10 7/11) = 5 77/117 ≈ 5.658 ≈ 5.66

_____

Additional comment

The above iterator will add about 1 decimal place for each iteration. The Babylonian method will roughly double the number of good decimal places with each iteration. For an approximate root of p/q, the next iteration using that method would be ...

  p'/q' = (x·q² +p²)/(2pq)

Then our above estimate of 5 7/11 for the root of 32 would be refined to ...

  p'/q' = (32·11² +62²)/(2·11·62) = 7716/1364 = 5 224/341 ≈ 5.65689.... This compares favorably to the first digits of the actual root: 5.65685....

A choir teacher is dividing 6 sopranos and 20 altos into singing groups. He wants each group to have the same combination of sopranos and altos, with no singers left over. What is the greatest number of groups he can make?

Answers

GCF (Greatest Common Factor)

6: 1,2,3,6
20: 1,2,4,5,10,20

2 is the greatest number in both, therefore there can only be 2 groups of 3 sopranos, and 10 altos.

Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)

Answers

Answer:

should be, must be, gotta be it

Step-by-step explanation:

13² = 7² + x²

169 = 49 + x

x² = 169 - 49

x² = 120

x = [tex]\sqrt{120}[/tex] (do this stpd calculus)

x = 2[tex]\sqrt{30}[/tex]

>> Answer

________

[tex] \: [/tex]

x² = 13² - 7²

x² = 169 - 149

x² = 120

x = √120

x ≈ 230m

Please help me
This is a 45-45-90 triangle.
What is the measure of x?
X
х
X
= V[?]

Answers

Answer:

x = [tex]\sqrt{3}[/tex]

Step-by-step explanation:

the ratio of side to hypotenuse in a right triangle is 1 : [tex]\sqrt{2}[/tex]

in this problem we can use 'x' in place of 1 and [tex]\sqrt{6}[/tex] in place of [tex]\sqrt{2}[/tex] to create a proportion like this:

1/x = [tex]\sqrt{2}[/tex]/[tex]\sqrt{6}[/tex]

cross-multiply to get:

[tex]\sqrt{2}[/tex]·x = [tex]\sqrt{6}[/tex]

x = [tex]\frac{\sqrt{6}}{\sqrt{2}}[/tex]

x = [tex]\sqrt{3}[/tex]

Identify the 16th term of a geometric sequence where a1 = 4 and a8 = −8,748.

Answers

Step-by-step explanation:

The formula used to determine the terms is

an = a1 × rn - 1

It is given that

a1 = 4

a8 = -8,748

Substituting the values in the formula

-8748 = 4 × r8 - 1

r7 = -8748/4

r7 = -2187

r = -3

So the 16th term is

a16 = 4 × 316-1

a16 = -57395628

Therefore, the 16th term is -57395628.

A real root of X3 – 3x2 + x + 7 = 0 lies between two consecutive integers.
Find these two integers.

Answers

Answer:

B. between -2 and -1

Step-by-step explanation:

Brainlyist please

can someone simplify this question? 6+6x ≤ 7x+10 ≤ 10-5x

Answers

Answer:

It is - 4 ≤ x ≤ 0

Step-by-step explanation:

Brandon enters bike races 8 1/2 miles every 1/2 hour.

Answers

i have no idea what it is

&
b.
In the diagram, transversal tcuts across the parallel lines a and b. Match the pairs of angles with the relationship that shows they are
congruent.
alternate exterior angles
22, 23 and 25, 28
alternate interior angles
21, 28 and 22, 27
corresponding angles
23, 26 and 24, 25
vertical angles
21, 25 and 22, 26

Answers

Answer:

we know that

case a) alternate exterior angles

m∠2=m∠7 --------> by alternate exterior angles

m∠1=m∠8 --------> by alternate exterior angles

case b) alternate interior angles

m∠3=m∠6 --------> by alternate interior angles

m∠5=m∠4 --------> by alternate interior angles

case c) corresponding angles

m∠1=m∠5 --------> by corresponding angles

m∠3=m∠7 --------> by corresponding angles

m∠2=m∠6 --------> by corresponding angles

m∠4=m∠8 --------> by corresponding angles

case d) vertical angles

m∠1=m∠4 --------> by vertical angles

m∠2=m∠3 --------> by vertical angles

m∠5=m∠8 --------> by vertical angles

m∠6=m∠7 --------> by vertical angles

therefore

the answer in the attached figurewe know that

case a) alternate exterior angles

m∠2=m∠7 --------> by alternate exterior angles

m∠1=m∠8 --------> by alternate exterior angles

case b) alternate interior angles

m∠3=m∠6 --------> by alternate interior angles

m∠5=m∠4 --------> by alternate interior angles

case c) corresponding angles

m∠1=m∠5 --------> by corresponding angles

m∠3=m∠7 --------> by corresponding angles

m∠2=m∠6 --------> by corresponding angles

m∠4=m∠8 --------> by corresponding angles

case d) vertical angles

m∠1=m∠4 --------> by vertical angles

m∠2=m∠3 --------> by vertical angles

m∠5=m∠8 --------> by vertical angles

m∠6=m∠7 --------> by vertical angles

therefore

the answer in the attached figure

Step-by-step explanation:

THIS IS NOT MY ANSWER

Congruent angles are angles with equal measures

How to match the pair of angles with their relationships?

Angles between parallel lines and transversals are congruent by any of the following relationships

Alternate exterior anglesAlternate interior anglesCorresponding anglesVertical angles

Using the above angle relationships, the classifications of the angles are:

Alternate exterior angles

m∠2=m∠7

m∠1=m∠8

Alternate interior angles

m∠3=m∠6

m∠5=m∠4

Corresponding angles

m∠1=m∠5

m∠3=m∠7

m∠2=m∠6

m∠4=m∠8

Vertical angles

m∠1=m∠4

m∠2=m∠3

m∠5=m∠8

m∠6=m∠7

Read more about congruent angles at:

https://brainly.com/question/1675117

Obasi earns 150% of his regular hourly wage while working overtime.
What fraction of his regular hourly wage does Obasi earn while working overtime?

Answers

Answer:

35/100

Step-by-step explanation:

percents go buy hundreds, so 35 percent in fraction form would be 35/100

Answer:

1/2 extra with overtime

Step-by-step explanation:

150%=150/100

150/100=15/10

15/10=3/2

1 and 1/2

larger two degit number is --------

Answers

Answer:

99

Explanation:

The largest 2-digit number is 99 as the next number is 100 which is a 3-digit number

Question 1 (Essay Worth 10 points)
(03.03 MC)

A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:

f(m) = 4(1.08)m

Part A: When the marine biologist concluded her study, the length of the fish was approximately 6.86 cm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)

Part C: What is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent? (4 points)

Answers

Answer: HEre finnaly this is right..

Part A: When the marine biologist concluded her study, the length of the fish was approximately 6.86 cm. What is a reasonable domain to plot the growth function?

0≤x≤8

Part B: What does the y-intercept of the graph of the function f(m) represent?

the length at the start of the study

Part C: What is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent?

6.86−5.047−3=1.82

it represents the average growth in length of the fish from the 3rd month to the 7th month of the study

Step-by-step explanation:



Which pairs of rectangles are similar polygons?

Select Similar or Not Similar for each pair of rectangles

Answers

Answer:

Second and fourth pairs of rectangle are similar.

B is the midpoint of AC. AB = 5x-7, BC = 3x - 5. Find the value of x.

А

B

C

Answers

Answer:

the value of x is 1......

as we know B is the midpoint....

then,

5x-7=3x-5

5x-3x=-5+7

2x=2

x=2/2

x=1

Natasha is making curtains. Each set of curtains uses 8 yards of fabric. She has 61 yards of fabric. How much fabric will be left over after she makes as many sets of curtains as she can?

Answers

Answer: 5 yards will be left over.

Step-by-step explanation:

8 * 7 = 56

so then you would minus 56 from 61 which equals 5.  Sorry if that's a weird way to get it but...

angles a and b in both angles sets are ?

Answers

Answer:

1) b = 60°

2) a = 90°, b = 90°

Step-by-step explanation:

1) Angles on a straight line add to 180° so 180 - 120 is 60°

2) The two lines are perpendicular (meet at right angles) so both angles are 90°

Hope this helps!

Given g(x)=x2-3x+8 evaluate
A) g(4). B) g(-5)

Answers

Answer:

g(4) = 12

g(-5) = 48

Step-by-step explanation:

I will assume that you meant g(x)=x^2 - 3x + 8,

A)  To find g(4), substitute 4 for each instance of 'x' in this function:

g(4) = (4)^2 - 3(4) + 8, or

g(4) = 16 - 12 + 8, or

g(4) = 12

Similarly, g(-5) = (-5)^2 - 3(-5) + 8 = 25 + 15 + 8 = 48

g(-5) = 48

Answer:

A) 12

B) 18

Step-by-step explanation:

A) 4^2 - 3(4) + 8

16 - 12 + 8 = 12

B) -5^2 - 3(-5) + 8

25 + 15 + 8 = 48

what is 5/4÷1/10? because i don't know what it is

Answers

[tex]\bold{Hello~!}[/tex]

What is [tex]^5^/^4[/tex] ÷ [tex]^1^/^1^0~^?[/tex]

✧ ANSWER : [tex]0.125[/tex]☆ EXPLANATION :

[tex]^5^/^4[/tex] ÷ [tex]^1^/^1^0~^?[/tex]

[tex]\sf{Divide~the~numbers:}~5[/tex] ÷ [tex]\sf{4 = 1.25[/tex]

[tex]\sf{= 1.25}[/tex] ÷ [tex]\sf{~1}[/tex] ÷ [tex]\sf{10}[/tex]

[tex]\sf{Divide~the~numbers:}~1.25[/tex] ÷ [tex]\sf{~1}[/tex] [tex]\sf{ = 1.25}[/tex]

[tex]\sf{= 1.25}[/tex] ÷ [tex]\sf{10}[/tex]

[tex]\sf{Divide~the~numbers:~1.25[/tex] ÷ [tex]\sf{10}[/tex] [tex]\sf{= 0.125}[/tex]

[tex]\sf{ 0.125}[/tex]

Hope It Helps!

#LearnWithBrainly

[tex]\underline{Answer~:}[/tex]

[tex]\sf{Miwsow}[/tex]

Please, Follow me. and like my answers ! And, Brainliest is Appreciate !

Can someone pls help em brainliest

Answers

Answer:

9

Step-by-step explanation:

I've attached a picture, and I hope it's clear and understandable.

Answer: k=9

Step-by-step explanation:

Parallel lines have the same slope. y=mx+b, where m is the slope. The reference line, y = 6x-5 has a slope of 6. The new line must therefore also have a slope of 6. The slope is the Rise/Run, the change in y for a change in x.

The two points on the new line are (10,2k) and (13,4k). Rise over run for this new line is (4k-2k)/(13-10) or 2k/3. This must be equal to 6,

2k/3 = 6

2k = 18

k = 9

PLEASE HELP!!!

5. Which combination of segment lengths
can be used to construct a triangle?
A. 8 cm, 12 cm, 24 cm
B. 15 cm, 38 cm, 49 cm
C. 34 cm, 63 cm, 97 cm
D. 50 cm, 55 cm, 136 cm

Answers

Answer:

c

Step-by-step explanation:

Which equation in standard form has a graph that passes through the point (-2, 6) and has a slope of !.A. 3x — 2y = 12 B. 3x — 2y = 6 C. 3x — 2y = -18 D. 3x — 2y = 18

Answers

Answer:

Your answer should be C

Step-by-step explanation:

Answer:

3x - 2y = -18

Step-by-step explanation:

3x - 2y = -18 and (-2, 6)

(3)(-2) - (2)(6) = -6 - 12 = -18

1 (a) (i) Yasmin and Zak share an amount of money in the ratio 21 : 19.
Yasmin receives $6 more than Zak.
Calculate the total amount of money shared by Yasmin and Zak.
(ii) In a sale, all prices are reduced by 15%.
(a) Yasmin buys a blouse with an original price of $40.
Calculate the sale price of the blouse.

Answers

Answer: 1(a) $120

(ii a) $34

Step-by-step explanation:

21-19 = 2

$6/2=3

21x 3( one ratio =$3) =63

19x3 = 57

63+57=120 - (1 A ans)

(ii a) 40x0.15 (percentage decrease)= 6

40-6 = $34

The total amount of money shared by Yasmin and Zak is $120.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

(i) The given ratio is 21:19

Let Zak be having $x, the Yasmin will be having $(x+6).

Now, 21/19 = x+6/x

21x=19x+114

2x=114

x= $57

So, x+6= 57+6 = 63$

Total 63+57=$120

(ii) Given that, Yasmin buys a blouse with an original price of $40.

In a sale, all prices are reduced by 15%.

Now, 15% of 40

= 15/100 ×40

= 0.15×40

= 6

New cost =40-6

= $34

Therefore, the sale price of the Yasmin's blouse is $34.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ2

1 1/3 of 15
[tex]\frac{x}{y}[/tex]

Answers

Answer:

[tex]11 \div 3 \times 15 \\ 11 \div 1 \times 5 \\ 11 \times 5 \\ = 55[/tex]

answer:
20

explanation:
1 whole of 15=15
1/3 of 15= 15/3=5
15+5=20

Translate the following phrase into an algebraic expression. Use the variable b to represent the unknown quantity.

The number of soda bottles split 5 ways ​

Answers

Answer:

s/5=b

Step-by-step explanation:

The required expression is n/5 = b

What is an expression?

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

We have the variable b to represent the unknown quantity.

The expression,

the number of soda bottles split 5 ways.

That means,

Let n be the number of soda bottles.

So,

using division operation,

n / 5 = b

Therefore, the expression is n/5 = b.

To learn more about the expression;

brainly.com/question/24242989  

#SPJ1

I need help fast please ​

Answers

Answer:

point H is in quadrant II

So, the question on my test was a pair of in line skates is on sale for 90. if this price represents a 9% discount from the original price, what is the original price to the nearest cent. My teacher got 98.90, but i got 98.10. which is mathematically correct?

Answers

Step-by-step explanation:

I got 98.1, not sure how she got her answer

Someone pls help me I will make you brain

Answers

The answer is the 2nd choice, number of sales.

The function described f(x) = B + Cx

F(-5)=7+|-5|=7+5=12

HOW DO I SOLVE THIS?? HELPASAP

Answers

If it’s a matrix it says the answer is -5
F
=
12
=
12
=
12
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