[tex] \huge {\sf {{x}^{3} - 125 = 0}} [/tex]
To Find:The root of the equation.
Solution:By adding 125 to both the sides, we get
[tex] \huge {\sf { {x}^{3} = 125}} [/tex]
Take cube to the RHS (Right Hand Side), we get
[tex] \huge {\sf { x = 5}}[/tex]
Answer: x = 5The solution to the expression is x = 5.
We have,
Expression:
x³ - 125 = 0
This can be written as,
x³ = 125
Now,
Cube of 5:
5³ = 5 x 5 x 5 = 125
Now,
x³ = 5³
Cube cancels out on both sides.
x = 5
Thus,
The solution to the expression is x = 5.
Learn more about expressions here:
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simplify the following expressions ( use distributed property ) !
Answer:
2x + 2
Step-by-step explanation:
Simply distribute 2 to each of the terms (you multiply)
2(x + 1)
2x + 2
[tex]\huge\boxed{Hi!}[/tex]
The Distributive Property states that
a(b+c)=ab+ac
Let's use this to solve our math problem:
2(x+1)=2x+2
This is our final answer.
[tex]\huge\boxed{Hope\:this\:helps!}[/tex]
[tex]\huge\bold{Good\:luck!}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
A square has a perimeter of 28 ft. What is the length of each side?
Answer:
7 Centimeters (CM)
Step-by-step explanation:
You want to divide the perimeter by 4 to find the individual lengths. (28/4) Therefore each side of the square is 7cm long.
You are increasing all sides by a scale factor of 3.
This gives each side a length of 21cm
Hope this helped!
Answer:
7ft
Step-by-step explanation:
A square has 4 congruent sides so that means all sides are the same.
28 ÷ 4 = 7
Please help due tonight being graded very urgent need help please Makayla has 68 customers that she delivers a paper to every morning. She gets paid a flat fee of $8.50 per week plus an additional $0.67 per customer per week. How many weeks does she need to deliver papers to save at least $500 to buy a new tablet? make an equation or inequality and solve. Show your work
ok so 68 customers everything morning times 7 days per week is 476 customer.
now we know that 476 x .67 = $318.92
she make 8.50 per week plus $318.92 from customers
now we have this equation of
500 = 8.5x + 318.92
find x you will know how many weeks she needs.
8.5x = 500 - 318.92
8.5x = 181.08
x = 181.08/ 8.5
x ~~ 21.3 weeks
Answer:
1o weeks
Step-by-step explanation:
As I understand it she get's paid 8.50 per week
8.50x
and 0.67 per customer per week
0.67(68)x since there are 68 customers
it has to be at least 500
[tex]8.5x+0.67(68)x\geq 500\\\\8.5x+45.56x\geq 500\\\\56.06x\geq500\\\\x\geq\frac{500}{56.06} \\\\x\geq 9.24...\\\\x=10[/tex]
Two trucks leave a factory at the same time. One travels east at 60 miles per hour, and the other travels west at 30 miles per hour. In how many hours will they be 150 miles apart? A 1-2/3 hours B 2 hours C 2-1/2 hours D 5 hours
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Solve the following equation for x, and express its value in terms of c. 3(cx-7)=9
Answer:
x=10/c
Step-by-step explanation:
3(cx-7)=9
(cx-7)=3
cx=10
x=10/c
Answer:
x=10/c
Step-by-step explanation:
3(cx-7)=9
(cx-7)=3
cx=10
x=10/c
[4+(-3)]b-b(-6+2)
Help me plz
its due by midnight
Step-by-step explanation:
[ 4 - 3 ] b -b (-4)
1 b + 4b
5b Ans according to me
What is the value of x?
2/7(x+4)= -6
O x=35
O x= -25
O x= 25
O x=35
Hey there!
2/7(x + 4) = -6
2/7(x) + 2/7(4) = -6
2/7x + 8/7 = -6
SUBTRACT 8/7 to BOTH SIDES
2/7x + 8/7 - 8/7 = -6 - 8/7
CANCEL out: 8/7 - 8/7 because it gives you 0
KEEP: -6 - 8/7 because it helps solve for the x-value
NEW EQUATION: 2/7x = -6 - 8/7
SIMPLIFY IT!
2/7x = -50/7
MULTIPLY 7/2 to BOTH SIDES
7/2 * 2/7x = 7/2 * (-50/7)
CANCEL out: 7/2 * 2/7 because it gives you 1
KEEP: 7/2 * (-50/7) because it helps solve for the x-value
NEW EQUATION: x = 7/2 * (-50/7)
SIMPLIFY IT!
x = -25
Therefore, your answer is: x = -25
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Help me solve the following?
Answer:
[See Below]
Step-by-step explanation:
✦ Solve for [tex]10y+30=100[/tex].
✦ Subtract [tex]30[/tex] on each side:
[tex]30-30=Cancels~Out[/tex][tex]100-30=70[/tex]✦ Divide [tex]10[/tex] on each side:
[tex]10/10=Cancels~Out[/tex][tex]70/10=7[/tex]So the answer would be [tex]7[/tex].
~Hope this helps Mate. If you need anything feel free to message me.
The cafeteria wants to buy 4,500 new forks. If each package contains 90 forks, how many packages should the cafeteria buy?
Answer:
50
Step-by-step explanation:
4,500÷90=50
and to check
90×50=4500
how much can an 55 affect my overall 100 grade?
Answer:
Depends on how many assignments you've completed.
Step-by-step explanation:
The accumulated overall grade is all about percentages, everything's a ratio when it comes to grades.
Answer:
it can bring it down alot
Step-by-step explanation:
it also can make your redo the grade
8 Level Problems (Challenging, Unfamiliar)
4. In a right triangle, the hypotenuse is 3 times the length of the shorter leg. The longer leg is 5cm. Find
the length of the hypotenuse.
h = 15√3/4
= 6.4875
≈ 6.5 cm
Step-by-step explanation:h = 3x
c₁ = 5 cm
c₂ = x
Pythagorash² = c₁² + c₂²
(3x)² = 5² + x²
9x² = 25 + x²
8x² = 25
x² = 25/8
x = √25/8
x = 5/2√2
x = 5√2/4
h = 3x
= 3×5√2/4
= 15√2/4 cm
NEED HELP ! It’s due tonight
The graph starts at a value in between 1 and 2 while the expression starts at a value of 6, therefore, the expression has a higher initial value.
can someone help me with this question? I keep on getting it wrong.
Answer:
102
Step-by-step explanation:
Let x be the amount of money John spends.
x/2-5=46
x/2=51
x=102
Change the following rate into a unit rate: $12/6 burgers.
Answer:
$2/1 burger
Step-by-step explanation:
You have to divide the number that can divide into both the most which means twelve divided by 6 is two and 6 divided by 6 is 1 which means $2/1
6+7m<6m or 3m-7<5+6m
Step-by-step explanation:
6+7m<6m or 3m-7<5+6m
6<7m+6m or 3m-6m<5+7
6<13m or -3m<13
m<13/6 or m<13/-3
m<2.16 or m<-4.333
m<2.2 or m<-4.34
Points F, G and H are collinear. If GH = 16, what is FH?
Answer:
FH = 36 units
Step-by-step explanation:
Points F, G and H are collinear.
Therefore, by joining segments FG and GH we get a segment FH.
FH = FG + GH
By substituting the values of the segments given in the question,
FH = (3x - 1) + (2x + 2)
= 5x + 1
Since, GH = 16
2x + 2 = 16
2x = 14
x = 7
Therefore, FH = (5x + 1)
= 35 + 1
= 36 units
Measure of segment FH = 36 units.
Find the distance between the points (-1,-7) and (8,-9). The answer must be a whole number or a fully simplified radical expression do not round up
Answer:
The answer is
[tex] \sqrt{85} \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-1,-7) and (8,-9)
The distance between them is
[tex]d = \sqrt{( { - 1 - 8})^{2} + ({ - 7 + 9})^{2} } \\ = \sqrt{ ({ - 9})^{2} + {2}^{2} } \\ = \sqrt{81 + 4} [/tex]
We have the final answer as
[tex] \sqrt{85} \: \: \: units[/tex]
Hope this helps you
Find the volume of the triangular prism
Answer:
your weight loss will help your child get through to your doctor if your child is a si and he's a doctor or 6or a child or an adult or an adult child and you can get in the way I want
A pen costs $1.50. It costs $0.25 less than a marker. If I paid for both supplies with $5.00, what would be my change?
Answer:
tour change would me $1.75
The grocery store is having a sale on frozen vegetables. 4 bags are being sold for 11.96. At this rate, what is the cost of :
1 bag
9 bags
Chris has finished 30% of an art project that has taken him a total of 9 hours so far
heeeeelp Find the distance of AB if A (2, 6) and B (-5, 2).
Answer:
let A (2, 6) be (x1, y1)
B (-5, 2) be (x2, y2)
distance AB =√[(x2 - x1)² + (y2 - y1)²]
√[(-7)²+ (-4)²]
√65
A water tank holds 486 gallons but leaking at a rate 4 gallons per week. A second water tank holds 648 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the 2 tanks? The amount of water that holds the two tanks will be the same in _ weeks.
The first tank contains
486 gal - (4 gal/week) t
gal of water after t weeks.
Similarly, the second tank contains
648 gal - (7 gal/week) t
gal of water.
The tanks hold the same amount of water when these two amounts are equal:
486 gal - (4 gal/week) t = 648 gal - (7 gal/week) t
(7 gal/week) t - (4 gal/week) t = 648 gal - 486 gal
(3 gal/week) t = 162 gal
t = (162 gal) / (3 gal/week)
t = 54 weeks
3.409 x 10^-3 In scientific notation.
Answer:
Since the exponent of the scientific notation is negative, move the decimal point 3 places to the left.
0.003409
The midpoint of AB is M(-2,2). If the coordinates of A are (-8, -1), what are
the coordinates of B?
Answer:
work is attached and shown
The coordinates of the midpoint will be (4,5).
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. Given that the midpoint of AB is M(-2,2) and the coordinates of A are (-8, -1).
The midpoint will be calculated by using the formula below:-
( -8 + x ) / 2 = -2
( -8 + x ) = -4
x = -4 + 8 = 4
( -1 + y ) / 2 = 2
( -1 + y ) = 4 = 1 + 4 = 5
Therefore, the coordinates of the midpoint will be (4,5).
To know more about Coordinate geometry follow
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If 2x-3y+5-(x-3y)=11-2x, what is the value of x?
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]2x-3y+5-\left(x-3y\right)=11-2x[/tex]
Remove brackets and flip the sign in the brackets:
[tex]2x-3y+5-x+3y=11-2x[/tex]
Group the similar terms together:
[tex]-3y+3y+2x-x+5=11-2x[/tex]
Add/subtract the terms:
[tex]x+5=11-2x[/tex]
Subtract 5 from both sides:
[tex]x+5-5=11-2x-5[/tex]
[tex]x=-2x+6[/tex]
Add 2x to both sides:
[tex]x+2x=-2x+6+2x[/tex]
[tex]3x=6[/tex]
Divide both sides by 3:
[tex]\frac{3x}{3}=\frac{6}{3}[/tex]
[tex]x=2[/tex]
Tommy has 15 marbles in his pocket. He has 3 green, 4 white, 6 black, and 2 blue marbles. If he randomly puts his hand in his pocket and
grabs a marble, what is the probability that he will pick a black marble?
Answer:
0.4
Step-by-step explanation:
The formula to calculate number of black marbles isnumber of favourable items by number of favourable items i.e for black marbles it will become
P(B)=number of black marbles divide by total number of marbles
P(B)=6/15
P(B)=0.4 OR 40%
Therefore the probability that Tommy will pick black marble is 0.4 or 40%
someone help me find the answer
The coordinates of M ⇒ (-6,0)
N ⇒ (-3,2)
Distance formula ⇒[tex]\sqrt{(x_2-x_1)^2+ (y_2-y_1)^2}[/tex]
Plugging in those values gives us an answer of [tex]\sqrt{13}[/tex]
Let me know if you want to see more work!!!
:)
Charlotte is making pies for her whole family. So far, she has made 5.04 pounds worth of pie, and has 7 people to feed, including herself. How much does each person get if Charlotte is done making pies?
Answer:
0.72 pounds
Step-by-step explanation:
Each of the 7 people gets 1/7 of the pounds of pie, so ...
(5.04 pounds)/7 = 0.72 pounds
Each person gets 0.72 pounds of pie.
A car of mass 100 kg is moving with a velocity of 10 m/s on a road when it collides with a bus weighing 150 kg which is at rest. If both the vehicles start drifting together after the collision, find the velocity with which they are moving now?
Answer: they would be moving 15m/s
Step-by-step explanation:
10m/s times 150kg= 1500divided by 100kg=15m/s