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Greeley [361]
3 years ago
13

A water bottle holds 5/8 L of water when it is 3/4 full which statement best describes a quotient of five eights divided by thre

e fourths
Mathematics
1 answer:
stellarik [79]3 years ago
7 0

Answer:

The maximum amount the bottle can hold is  litre.

Step-by-step explanation:

To find out how much water is in 1 bottle, the amount of litres can be divided  by three to find out how much water is in one quarter of the bottle. Th amount can then be multiplied by four, to to find the volume of one bottle

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When the sum of 5 and three times a positive number is subtracted from the square of the number, 0 results. Find the number.
Juliette [100K]
x-the\ number\\\\x^2-(5+3x)=0\\\\x^2-5-3x=0\\\\x^2-3x-5=0

Use\ the\ quadratic\ formula:\\a^2x+bx+c=0\\\\\Delta=b^2-4ac\\\\if\ \Delta > 0\ then\ x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\if\ \Delta=0\ then\ x_0=\dfrac{-b}{2a}\\\\if\ \Delta < 0\ then\ no\ solution

x^2-3x-5=0\\\\a=1;\ b=-3;\ c=-5\\\\\Delta=(-3)^2-4\cdot1\cdot(-5)+3+20=29 \ \textgreater \  0\\\\\sqrt\Delta=\sqrt{29}\\\\x_1=\dfrac{3-\sqrt{29}}{2\cdot1}=\dfrac{3-\sqrt{29}}{2} \ \textless \  0\\\\x_2=\dfrac{3+\sqrt{29}}{2\cdot1}=\dfrac{3+\sqrt{29}}{2} \ \textgreater \  0

Answer:\ \boxed{x=\dfrac{3+\sqrt{29}}{2}}
6 0
3 years ago
The table below represents a linear function.
ohaa [14]
(-1,5)(1,9)
slope = (9 - 5) / (1 - (-1) = 4 / (1 + 1) = 4/2 = 2

y = mx + b
slope(m) = 2
use any of ur points in the table....(1,9)...x = 1 and y = 9
now we sub ad find b, the y int
9 = 2(1) + b
9 = 2 + b
9 - 2 = b
7 = b

so ur equation of the table is : y = 2x + 7.....where the slope = 2 and the y intercept = 7

so, the equation with the greater slope and the greater y int is :
y = 3x + 7.5....this has a slope of 3 and a y int of 7.5


8 0
3 years ago
Y=mx+<br> finish the equation<br> Its one of the options<br> M<br> B<br> F<br> C
Eduardwww [97]

Answer:

B

Step-by-step explanation:

The equation is y=mx+b

m=slope

b=y-intercept

6 0
3 years ago
Read 2 more answers
Solve both! For x<br><br> |X + 2| &gt; 5<br><br><br><br> |X + 2| &lt; 5
NISA [10]

Answer:

Your Answer is ...

x > 3 or x < -7

Step-by-step explanation:

1.  x > 3 worked out

|X + 2| > 5

Solve absolute Value

|X + 2| > 5

We know either |X + 2| > 5 or x + 2 < - 5

_________________________________

x + 2 > 5\\x + 2 - 2 > 5 - 2 (Subtract ~2~ from~Both~sides)\\ x >3

2. x < -7 Worked out

x + 2 < - 5\\x+2-2>5-2 (Subtract~2~from~Both~sides)\\x

Hope this Helps!

Take Care!

-Jay-

4 0
3 years ago
What’s the correct answers for blankA and Blank B
zimovet [89]

Answer:

Quadrilateral ABCD does not map onto itself using a reflection because it has 0 lines of symmetry.

Step-by-step explanation:

Remember that a trapezoid has no lines of symmetry.

4 0
3 years ago
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