Answer:
Step-by-step explanation:
GIVEN
4x - 3 = 23 - x
4x + x = 23 +3
5x = 26
x = 26/5
If z>0, what is the quotient of 20√z6 ÷ √16z7 in simplest radical form
Answer:
5√z/z
Step-by-step explanation:
i took the test(:
The quotient of [tex]20\sqrt{z^{6} }[/tex] ÷ [tex]\sqrt{16z^{7} }[/tex] in simplest radical form is [tex]\frac{5\sqrt{z} }{z}[/tex].
How to express a simplest radical form?Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.
Given
[tex]20\sqrt{z^{6} }[/tex] ÷ [tex]\sqrt{16z^{7} }[/tex]
Rewrite as fraction: [tex]\frac{20\sqrt{z^{6} } }{\sqrt{16z^{7} } }[/tex]
Factor and rewrite the radicand in exponential form: [tex]\frac{20\sqrt{z^{6} } }{\sqrt{4^{2}. z^{6} .z} }[/tex]
Rewrite the expression using [tex]\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}[/tex] :
= [tex]\frac{20\sqrt{z^{6} } }{\sqrt{4^{2} .\sqrt{z^{6}.\sqrt{z} } } }[/tex]
Simply the radical expression, we get:
= [tex]\frac{20z^{3} }{4z^{3}\sqrt{z} }[/tex]
Reduce fraction to the lowest term by canceling the greater common factor, we get
= [tex]\frac{5}{\sqrt{z} }[/tex]
Rationalize the denominator
= [tex]\frac{5\sqrt{z} }{\sqrt{z} .\sqrt{z} }[/tex]
= [tex]\frac{5\sqrt{z} }{z}[/tex]
Hence, the quotient of [tex]20\sqrt{z^{6} }[/tex] ÷ [tex]\sqrt{16z^{7} }[/tex] in simplest radical form is [tex]\frac{5\sqrt{z} }{z}[/tex].
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A frog jumps 9 3/5 feet in the span of 2 2/3 seconds. Express as a complex fraction and then find the unit rate, in feet per second, that the frog is moving at. Express any improper fractions as mixed numbers.
Answer:
3 3/5 feet per seconds
Step-by-step explanation:
If a frog jumps 9 3/5 feet in the span of 2 2/3 second, we want to calculate the number of feet it can jump in one seconds.
Since it jumps 9 3/5 feet in the span of 2 2/3 second, we can express this as:
9 3/5 feet = 2 seconds ... 1
The number of feet per seconds will be expressed as:
x = 1secs.... 2
Divide equation 1 by 2 as shown:
9 3/5 ÷ x = 2 2/3 ÷ 1
48/5x = 8/3
Cross multiply
5x * 8 = 48 * 3
40x = 144
10x = 36
5x = 18
x = 18/5
Express as a mixed fraction:
18/5 = 3 3/5ft/secs
Hence the frog is moving at 3 3/5 feet per seconds
The length of a rectangle is 7/10 feet and it's width is 1/5 feet. What is it's perimeter?
Answer:
9/5 feet if they want an improper fraction
Step-by-step explanation:
p = 2l + 2w
2(7/10) = 14/10
rewrite 1/5 as 2/10
2(2/10) = 4/10
14/10 + 4/10 = 18/10 feet or simplified to 9/5 feet if they want an improper fraction
Use the rules of transformations to compare the graphs of the functions, f(x) =1/x
and g(x) =5/x-1
following options represents the asymptotes of the functions, f(x) and g(x) Select all that apply.
y= -1
y=0
x=-1
y=1
X= 2
Answer:
first and second
Step-by-step explanation:
asymptote of 1/x is y= 0 and x=0 (buut x=0 isn't on here)
asymptote of 5/x-1 is the same as 1/x-1, so y = -1 and x= 0
you can graph it on desmos
999 pencils cost \$7.74$7.74dollar sign, 7, point, 74.
Which equation would help determine the cost of 666 pencils?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\dfrac{6}{x} = \dfrac{9}{\$7.74}
x
6
=
$7.74
9
start fraction, 6, divided by, x, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction
(Choice B)
B
\dfrac{x}{6} = \dfrac{9}{\$7.74}
6
x
=
$7.74
9
start fraction, x, divided by, 6, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction
(Choice C)
C
\dfrac{9}{6} = \dfrac{x}{\$7.74}
6
9
=
$7.74
x
start fraction, 9, divided by, 6, end fraction, equals, start fraction, x, divided by, dollar sign, 7, point, 74, end fraction
(Choice D)
D
\dfrac{6}{x} = \dfrac{\$7.74}{9}
x
6
=
9
$7.74
start fraction, 6, divided by, x, end fraction, equals, start fraction, dollar sign, 7, point, 74, divided by, 9, end fraction
(Choice E)
E
None of the above
Answer:
A= 6/x=9/$7.74
Step-by-step explanation:
Khan Academy
Solve the equation. m + (–4) = –9 5 36 –5 –13
4m + 9 + 5m – 12 = 42. A. m = 5 B. m = 4 C. m = –5 D. m = -4
What is the probability that a customer ordered a cold drink given that he or she ordered a large?
Answer:
19
Step-by-step explanation:
The probability that a customer ordered a cold drink given that he or she ordered a large is 32%.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
P(Small | Cold) = n(Small and Cold)/n(Cold)
From the table:
P(Small | Cold) = 8/(8 + 12 + 5)
P(Small | Cold) = 0.32
or
P(Small | Cold) = 32%
Thus, the probability that a customer ordered a cold drink given that he or she ordered a large is 32%.
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CAN SOMEONE PLEASE HELP ME PLEASE
Answer:
x = 5
Step-by-step explanation:
I already explained and solved it on the other question. Here is the link to my explanation of how it's 5. https://brainly.com/question/20451937
Quadrilateral BLUE has coordinates (vertices): B(-5,0), L(-6,6) U(6,8) and E(7,2). Prove BLUE is a rectangle.
HURRY FAST PLEASEEE..........On a coordinate plane, point Q is 0.5 units to the left and 1.25 units up. Point R is 1.25 units to the right and 0.5 units up. Point S is 0.25 units to the right and 0.25 units up. Point U is 0.25 units to the left and 0.25 units down. Point W is 0.5 units to the left and 1.25 units down. Point V is 0.5 units to the right and 1.25 units down. Which point is located at (–0.50, –1.25)? Point
Answer:
Point W, it is going left 0.5 units which is -0.5 and then he is going down 1.25 units which is -1.25 UNits. So your answer is Point W, I hope that this helped you!
Step-by-step explanation:
Answer:
Point W
Step-by-step explanation:
Convert 6 4/5 to an improper fraction.
Convert 5 3/4 to an improper fraction.
Solve: 3 1/3 ÷ 25/4
Solve: 14/3 ÷ 3 1/2
Solve 3 1/4 ÷ 5 1/2
Paul has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of salt does Paul have?
Answer:
2 tablespoons of salt
Step-by-step explanation:
If 3 teaspoons are equal to 1 tablepoon, we can divide the 6 tablespoons by 3 to get our answer of 2 tablespoons.
(sorry if this is confusing but I hope it helped)
What is the missing side length?
Answer:
12
Step-by-step explanation:
5^2+12^2=13^2. It is a right triangle
PLEASE HELP What is the x value. (Remember to round to the nearest tenth.)
Answer:
the answer might be 71.9
Step-by-step explanation:
add 12.8 and 5.3 =18.1 then
90-18.1=71 9
2. Find the difference when -4n - 8 is subtracted from 2n + 5
Answer:
-6n - 13
Step-by-step explanation:
(-4n - 8) - (2n + 5)
Subtract -4n and 2n.
Then Add 8 and 5.
-6n - 13
Sandra is 34 and opened a 30 year term policy. How old will she be when she lose the life insurance policy?
Answer:64
Step-by-step explanation:
34+30=64
Sandra will be 64 years old when she would lose the life insurance policy.
What is Addition?Addition, in maths, is a process of combining two or more numbers.
Given that, Sandra is 34 and opened a 30-year term policy,
According to question,
30 + 34 = 64
Hence, Sandra will be 64 years old when she would lose the life insurance policy.
For more references on Addition, click;
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Fiona, Peter and Angad share some sweets in the ratio 5:1:2. Fiona gets 33 more sweets than Angad. How many sweets are there altogether?
select the correct answer
Answer:
A
Step-by-step explanation:
If g is equal to 8, then we can rewrite the fraction as 8/2+3. We can simplify this to 8/5. That means A is correct.
What is the quotient of -3/8 and -1/3
Answer:
Step-by-step explanation:
(-3/8)/(-1/3)=
=(-3/8)*(-3/1)=9/8= 1 1/8
anyone know how to simpfly ⅓ (27y+6)
Answer:
9y+2
Step-by-step explanation:
You divide everything by 3
27y/3= 9y
6/3=2
Then add
9y+2
Hope this is helpful!
Answer:
9y + 2
Step-by-step explanation:
cuz 1/3(27) = 9y
and 1/3(6) = 2
add them and equals 9y + 2
Which set of ordered pairs represents a function?
{(-3,1), (8, -2), (0,0), (8,6)}
{(-1,-8),(-8, –3), (-8,-7), (4,1)}
{(-3,-8),(-3,-7), (2,-7), (6,-4)}
{(1,-1),(-3,-8), (8, -1),(0,5)}
B.
explanation:
whhdhdhdhehehgaahakkabdvdvhabs
Slope of the line that passes through (6,0) and (0,-6)
Hey there!
The formula is:
• m = rise / run
• m = y₂ – y₁ / x₂ – x₁
• y₂ = –6
• y₁ = 0
• x₂ = 0
• x₁ = 6
• Equation: “–6 – 0 / 0 – 6”
–6 – 0 = –6 ⬅️ numerator (TOP number)
0 – 6 = –6 ⬅️ denominator (BOTTOM number)
Equation: –6 / –6
SOLVE above and you will have your ANSWER.
–6 / –6 = 1 because double negatives makes a negative.
The slope of line that passes through your given points is: 1
Answer: 1 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
--6x = 48 (solving equations)
Beth is making fruit salad. She adds 4 grapes for every 2 strawberries. If she uses 20 strawberries, how many grapes will she use?
Answer:40
Step-by-step explanation:2x+4x where the 4 represents every clump of 4 grapes and the 2 is strawberries
A rectangular prism shaped book has a base area of square inches and a height of inch. What is the volume of the book?
Answer:
See Explanation
Step-by-step explanation:
The question has missing details, as the base area and height of the prism is not given.
To solve further, I'll assume that:
[tex]Base\ Area = 12\ in^2[/tex]
and
[tex]Height = 5in[/tex]
Using the above parameters, as point of reference.
The volume is:
[tex]Volume = Base\ Area * Height[/tex]
[tex]Volume = 12\ in^2 * 5\ in[/tex]
[tex]Volume = 60\ in^3[/tex]
667676767667676767676766676767676766767676766776767676767676767676767676767676767676 x 6676767676766767676767676767676767676767676767676767676767676767676676767676767676767
Answer:
y^6
hope it helps you
Step-by-step explanation:
brainliest plus
What is the answer to this?
[tex]\huge\bold\purple{2/3:}[/tex]
Hi please help me answer this :)
Explain answer
Will give braisnlt
Answer:
No solutions
Step-by-step explanation:
No intersections or points that apply for the equations.
Eugene sold half of his comic books and then bought eight more. He now has 32. With how many did he begin?
Answer:
48 books
Step-by-step explanation:
32-8 = 24
24= 1/2 of total
24x2=48
Answer=48 books
Check:
48/2=24
24+8=32
YAY!!
Answer:
48 comic books
Step-by-step explanation:
Let's use x as the amount that he originally had.
If he sold half of them, that would be:
(1/2)x
Then he bought 8 more, so you would add 8 to that total.
(1/2)x + 8
If he now has 32 then we need to set that equation to equal 32.
(1/2)x + 8 = 32
Subtract 8 from each side.
(1/2)x = 24
Then you will divide 24 by 1/2. That is the same thing as multiplying by 2.
So,
x = 48
Check work
(1/2)x + 8 = 32
(1/2)(48) + 8 = 32
Half of 48 is 24.
24 + 8 = 32.
32 = 32.
What is the volume of Box 3?
Answer:A
Step-by-step explanation: U need to show us the box next time though.Luckly i had the same test.
Answer:
the answer is B had the same test
Step-by-step explanation: