Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: - \dfrac{8}{15} \div - \dfrac{ 3}{5} [/tex]
[tex]\qquad \sf \dashrightarrow \: - \dfrac{8}{15} \times - \dfrac{ 5}{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{( - 8 \times - 5)}{45} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{40}{45} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{8}{9} [/tex]
Hence, the correct choice is D
Answer:
D) 8/9
Step-by-step explanation:
There are a couple of ways to do division by fractions. In the end, they amount to the same thing, but they look different as you go through the process. They might be summarized as ...
"invert and multiply", or "dot swap", andnumerators of the same denominator.__
SignsThe sign of the quotient will be negative only if there are an odd number of minus signs in the problem. Here, both the dividend and divisor have minus signs, so the number of them is even. The result will be positive. (This eliminates choices A and B.)
__
Invert and MultiplyAs with ordinary division by any number, it is equivalent to multiplication by the reciprocal of the number. That fact is used here to change the division problem to a multiplication problem.
[tex]\dfrac{8}{15}\div\dfrac{3}{5}=\dfrac{8}{15}\times\dfrac{5}{3}\qquad\text{multiply by the reciprocal of the divisor}[/tex]
[tex]=\dfrac{8}{15}\cdot\dfrac{5}{3}\qquad\text{"dot" for multiplication, "swap" to make reciprocal}[/tex]
The result can be reduced by cancelling common factors in this process.
[tex]\dfrac{8}{15}\times\dfrac{5}{3}=\dfrac{8}{3}\times\dfrac{5}{5}\times\dfrac{1}{3}=\dfrac{8}{3\cdot3}=\boxed{\dfrac{8}{9}}[/tex]
__
Numerators of the Same DenominatorFor this method, both the dividend and the divisor need to be expressed over the same denominator.
[tex]\dfrac{8}{15}\div\dfrac{3}{5}=\dfrac{8}{15}\div\dfrac{3\cdot3}{5\cdot3}=\dfrac{8}{15}\div\dfrac{9}{15}[/tex]
We can rewrite this as a compound fraction to show that we effectively cancel the same denominators.
[tex]=\dfrac{\left(\dfrac{8}{15}\right)}{\left(\dfrac{9}{15}\right)}=\boxed{\dfrac{8}{9}}[/tex]
Related Questions
Of the last 20 trains to arrive at Wildgrove Station, 12 were on time. Considering this data, how many of the next 5 trains would you expect to be on time?
Answers
Answer:
Late because 12 were on time so 5 would be late
How many solutions does this
equation have?
3s = 8s -5s
A one solution
C no solution
B two solutions
D infinite
Answers
Answer:
D
Step-by-step explanation:
3s = 8s - 5s
8s = 8s
s = 0, 1, 2, 3.......
so infinite solutions
D)
Step-by-step explanation:Given equation:
[tex]3s = 8s - 5s[/tex]To simplify this equation, we need to isolate the variables on one side of the equation and the constants on the other side of the equation. To do this, we can simplify the R.H.S as like terms can subtract.
⇒ [tex]3s = 8s - 5s[/tex]
⇒ [tex]3s = s(8 - 5)[/tex]
⇒ [tex]3s = s(3) = 3s[/tex]
⇒ [tex]3s= 3s[/tex]
Since both sides of the equation are the same, this system of equations has infinite solutions.
Check:We can check our answer by substituting the value of "s" into the equation. As a result, you will see that many values of "s" are satisfying the equation. Thus, Option D is correct.
how much would $500 invested at a 4% interest compounded continuosly be worth after 7 years round your answer to the nearest cent
Answers
Answer: F = 661.56
Step-by-step explanation: interest formula: F = Pe^(rt)
F = future value
P = present value = 500
r = interest rate = 0.04
t = years = 7
F = 500e^(0.04 * 7)
What is the equivalent expression of 3(7e+1)=
Answers
Answer:
210 i hope i helped you with this question
Frank and Jerry save quarters in a piggy bank. The bank had $28 in it, then Frank put in F quarters and Jerry put in J quarters. Which expression can be used to represent the amount of money in the bank now? A) FJ + 28 B) 0.25FJ + 28 C) 0.50(F + J) + 28 D) 0.25F + 0.25J + 28
Answers
Answer:
D
Step-by-step explanation:
Min draws an isosceles triangle.
Which attributes describe his triangle?
Choose each correct answer.
not a polygon
no angles the same measure
three sides
two obtuse angles
at least two sides of the same length
closed figure
Answers
Answer:
three sides
at least two sides of the same length
closed figure
Step-by-step explanation:
1) A triangle is a polygon.
2) Isoceles triangles have 2 equal angles.
3) A triangle has 3 sides
4) An isoceles triangle has 2 acute and 1 obtuse angle
5) An isoceles triangle means to have 2 sides of equal length.
6) A triangle is a closed figure.
A hot air balloon travels 18 miles in 3 hours. At this rate, how many miles will it travel in 3/4 of an hour
Answers
Answer:
4.5 miles
Step-by-step explanation
Figure out how far the hot air balloon travelled in 1 hour - 3 hours can be divided by 3 for 1 hour, so do the same for the miles - 18 / 3 = 6
So basically, the hot air balloon travelled 6 miles in 1 hour.
Now, you can work out 3/4 of 6 for 3/4 of 1 hour - 3/4 * 6 = 4.5 miles
:)
What is the measure of the missing angle?
Answers
180-75-40=65 (find missing angle)
65+x=180 (supplementary angles)
180-65=x (substitution)
115=x (simplify)
x=115 (reflexive property of equality)
Select all that apply. (30 points)
Which pairs of angles are supplementary?
1 and 6
5 and 7
5 and 8
2 and 3
Answers
Answer:
1 and 6
5 and 7
Step-by-step explanation:
Supplementary angles equal 180degrees. 1 = 60 and 6=120. 60+120=180.
5 = 60 and 7=120. 60+120=180
I don't understand this
Answers
Answer:
Step-by-step explanation:
PLS HELP- WILL GIVE BRAINLIEST!!
Answers
Answer:
b = 4 mm
Step-by-step explanation:
[tex]b=\sqrt{5^{2}-3^{2} } =\sqrt{25-9}=\sqrt{16} =4[/tex]
Hope this helps
Answer:
The missing leg measures b = 4 millimeters in length.
Step-by-step explanation:
The Pythagorean theorem should be used to find the missing leg measure.
The formula is a2+b2=c2, where a and b are the leg lengths and c is the hypotenuse length. This is known as the Pythagorean theorem.
Let's use the Pythagorean theorem now that a = 3 and c = 5.
a^2 + b^2 = c^2 - This is the Pythagorean theorem equation.
3^2 + b^2 = 5^2 - Fill in the equation with a=3 and c=5.
9 + b^2 = 25
b^2 = 16 - Take 9 off both sides or subtract.
square root of b^2 = square root of 16 - Take the square root of both sides of the equation.
b = 4 - Simplify
The missing leg measures b = 4 millimeters in length.
solve pls brainliest
Answers
= 29/6 ×4
=29/3 ×2
=58/3
=19(1/3)
Please help me with this problem
Answers
Answer:
-36
Step-by-step explanation:
6^2+(y-x)
=> 6^2+[-77 - (-5)]
=> 6^2+[-77+5]
=> 6^2+(-72)
=> 36+(-72) [6^2 = 36]
=> -36
can you mark me brainliest?
Hello-
6² + (y - x) is our equation. And wonder of wonders, our x and y values are given! What a beautiful thing, having both given to us.
x = -5
y = -77
Let's plug our given values into our equation for x and y. Like so-
6² + (y - x) becomes 6² + (-77 - (-5))
In math, we must do whatever operations are contained within parentheses first and foremost. So we must subtract -5 from -77. That, by the way, equals -72.
6² + -72
Now we do our exponents, or powers.
6² = 36
36 + -72
Now we do the easiest part - adding.
32 + -72 = -36
So the answer to this problem (if I've done my algebra correctly) is -36.
Hope this helps.
help me find the area please
Answers
Answer:
I'm not a hundred percent sure how to answer this one, because you need the height to solve but the other two tick marks would also be twenty because all of the sides are equal to one another.
identify which of the following sequences is a geometric sequence. check all that apply. from math nation test yourself
Answers
A geometric sequence is any sequence that has a common ratio and a non-zero initial value
The sequence 2, 6, 18, 54, ..... is a geometric sequence
How to determine the geometric sequence?
A geometric sequence is represented as:
Tn = ar^(n - 1)
Where:
n represents the number of termsa represents the initial valuer represents the common ratioTn represents the current termAssume that:
a = 2 and r = 3.
The terms of the sequence would be:
T1 = 2 * 3^0 = 2
T2 = 2 * 3^1 = 6
T3 = 2 * 3^2 = 18
T4 = 2 * 3^3 = 54
So, we have:
2, 6, 18, 54, .....
Hence, the sequence 2, 6, 18, 54, ..... is a geometric sequence
Read more about geometric sequence at:
https://brainly.com/question/24643676
23, 92, 368, ..
Find the 6th term.
Answers
Answer:
6th term = 23,552
Step-by-step explanation:
Mutilyby 4 from left to right
368/92 =4--------------- 92x4= 368
92/23=4--------------- 23x4 =92
1) 23
2) 23x4= 92
3) 92x4=386
4) 386x4=1,472
------and so on
I need help with this
Answers
To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
So the mode is 5
Hope this helps :)
SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!
Answers
Answer:
okay so i think the length of CD is 16cm
Solve for a and determine the measure of each angle:
Answers
Answer:
a =13
Step-by-step explanation:
180= (44+16-23)+11a
143=11a
143÷11= 13
11a + 37 = 180
11a =180-37
11a = 143
a = 143/11
a= 13
Measure of each angle
(5a-23) = 5(13)-23=42°
(4a + 44) = 4(13) + 44=96°
(2a+16) = 2(13) + 16 = 42°
Hello everyone ! I need helps from you ! So , in class we do a control and I get 16 / 20. So I wants a pencentage ! Thanks vers much.
Answers
However I hope I was to any help :)
Which of the following is ALWAYS a property of a parallelogram
A. 4 congruent sides
B. opposite sides are parallel
C. 4 angles that measure 90 degrees
D. 4 equal angles
Answers
Answer:
B. Opposite sides are parallel.
Step-by-step explanation:
This is the definition of a parallelogram.
The other 3 conditions may or may not be true.
Opposites sides are parallel is always a property of a parallelogram.
What is parallelogram?
" Parallelogram is defined as the two dimensional polygon whose opposite sides are always parallel and congruent to each other."
According to the question,
As per the properties of parallelogram we have,
Opposites sides are always parallel to each other.Opposite sides are always congruent to each other.Opposite angles are always congruent to each other.Adjacent angles are supplementary.Diagonals bisect each other.Hence, Option (B) is the correct answer.
Learn more about parallelogram here
https://brainly.com/question/1563728
#SPJ2
You roll a number cube 120 times. How many times can you expect the number cube to land on a six?
Answers
Answer:
10 or 6
Step-by-step explanation:
pls tell me if im wrong
Name a number that is a factor of 20 and 18 but a multiple of 2.
Answers
Find the area of the window.
Answers
Answer:
2512
Step-by-step explanation:
Formula=πr^2/2
(3.14×40×40)/2
=2512
solve pls brainliest
Answers
Answer:
w = 2/7
Step-by-step explanation:
You do 8 divided by 4 over 7, which is 2/7.
what is the volume of the cylinder when the height is 13m and the radius is 10m
Answers
Consider the figure below.
14
23
22.7
What is the perimeter of the figure?
Answers
Answer:
73.4
Step-by-step explanation:
The lengths of the tangent segments drawn from an external point to a circle are equal.
**Please refer to the attached annotated diagram - each pair of equal lengths is a different color**
Perimeter = (2 x 14) + (2 x 9) + (2 x 13.7)
= 28 + 18 + 27.4
= 73.4
I NEED HELP PLS (what percentage of 6th graders are boys?)
Answers
Answer:
50%
Step-by-step explanation:
its going up by 10% so its 50% the bar on boys in 6th graders is on 50%
How do you solve 2. 310x/4y times 8y/5x =
Answers
Answer: 0.924
Step-by-step explanation:
Given
[tex]\frac{2.310x}{4y} *\frac{8y}{5x}[/tex]
Simplify [tex]\frac{2.310x}{4y}[/tex] to [tex]\frac{0.5775x}{y}[/tex]
[tex]\frac{0.5775x}{y}*\frac{8y}{5x}[/tex]
Cancel y
[tex]0.5775x* \frac{8}{5x}[/tex]
Cancel x
[tex]0.5775* \frac{8}{5}[/tex]
Use the rule, [tex]a*\frac{b}{c} =\frac{ab}{c}[/tex]
[tex]\frac{0.5775*8}{5}[/tex]
Simplify
[tex]\frac{4.62}{5}[/tex]
Simplify
0.924
HELP ASAP! WILL MARK BRAINLIEST
Identify each number as rational or irrational by circling the word that describes it:
Rational or Irrational:
Rational or Irrational: 0.46
Rational or Irrational: √100
Rational or Irrational: -16
Rational or Irrational: √21
Rational or Irrational: 10
Answers
Answer
0.46 : rational(/ ); irrational(x);
Solving Steps
Question 2
Answer
1100 : rational(/): irrational(x);
Solving Steps
Categorize the number :
Question 3
Answer
-16 : rational(V); irrational(x);
Solving Steps
Categorize the number:
-16 : rational(/); irrational(x);
Question 4
Answer
V21: rational (×); irrational(r);
Solving Steps
Categorize the number
V21 : rational(×): irrational():
