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.
what is 5/4÷1/10? because i don't know what it is
[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!
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[tex]\underline{Answer~:}[/tex]
[tex]\sf{Miwsow}[/tex]
Please, Follow me. and like my answers ! And, Brainliest is Appreciate !
F(-5)=7+|-5|=7+5=12
HOW DO I SOLVE THIS?? HELPASAP
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?
Step-by-step explanation:
I got 98.1, not sure how she got her answer
Estimate each square root to the nearest hundredth of 32. Show your solution!
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....
I need help fast please
Answer:
point H is in quadrant II
x-7= -3(x+1) over 5
What is x?
can someone simplify this question? 6+6x ≤ 7x+10 ≤ 10-5x
Answer:
It is - 4 ≤ x ≤ 0
Step-by-step explanation:
Can someone pls help em brainliest
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 me
This is a 45-45-90 triangle.
What is the measure of x?
X
х
X
= V[?]
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]
Given g(x)=x2-3x+8 evaluate
A) g(4). B) g(-5)
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
1 1/3 of 15
[tex]\frac{x}{y}[/tex]
Answer:
[tex]11 \div 3 \times 15 \\ 11 \div 1 \times 5 \\ 11 \times 5 \\ = 55[/tex]
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.
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:
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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?
Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)
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]
________
[tex] \: [/tex]
x² = 13² - 7²
x² = 169 - 149
x² = 120
x = √120
x ≈ 2√30m
Identify the 16th term of a geometric sequence where a1 = 4 and a8 = −8,748.
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.
Which pairs of rectangles are similar polygons?
Select Similar or Not Similar for each pair of rectangles
Answer:
Second and fourth pairs of rectangle are similar.
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
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
larger two degit number is --------
Answer:
99
Explanation:
The largest 2-digit number is 99 as the next number is 100 which is a 3-digit number
&
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
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 anglesUsing 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:
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Obasi earns 150% of his regular hourly wage while working overtime.
What fraction of his regular hourly wage does Obasi earn while working overtime?
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
Someone pls help me I will make you brain
A real root of X3 – 3x2 + x + 7 = 0 lies between two consecutive integers.
Find these two integers.
Answer:
B. between -2 and -1
Step-by-step explanation:
Brainlyist please
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?
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...
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
Answer:
c
Step-by-step explanation:
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
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;
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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.
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
Brandon enters bike races 8 1/2 miles every 1/2 hour.
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)
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:
angles a and b in both angles sets are ?
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!
B is the midpoint of AC. AB = 5x-7, BC = 3x - 5. Find the value of x.
А
B
C
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