Answer:
1000
Step-by-step explanation:
I guess, something went wrong with the text up there.
I assume it should say 2cm×2cm×2cm cubes. right ? because a cube has 3 dimensions, not just 2.
otherwise an infinitely large number of "just squares" would fit into the box ...
so, the box is
1m×20cm×4cm = 100cm×20cm×4cm = 8000 cm³
a single cube would be
2cm×2cm×2cm = 8 cm³
therefore,
8000 / 8 = 1000 cubes can be packed into that box, since the dimensions of the box in relation to the dimensions of the cubes do not force to have some empty left over space. the box can be packed tightly.
To make a batch of salad dressing, combine 9 tablespoons of oil with 18 tablespoons of vinegar. How many tablespoons of vinegar are needed for every tablespoon of oil?
Answer:
18 divided by nine is two. so for every one table spoon of oil there's two table spoons of vinegar. Please give brainliest
Answer:
2
Step-by-step explanation:
Make a ratio:
Oil : Vinegar
9 : 18
1 : 2
For each tablespoon of oil, 2 tablespoons of vinegar is needed.
Hope this helped.
A ball is dropped from a height of 14 ft. The elasticity of the ball is such that it always bounces up one-third the distance it has fallen. (a) Find the total distance the ball has traveled at the instant it hits the ground the fourth time. (Enter an exact number.)
Answer:
Hello,
742/27 (ft)
Step-by-step explanation:
[tex]h_1=14\\\\h_2=\dfrac{14}{3} \\\\h_3=\dfrac{14}{9} \\\\h_4=\dfrac{14}{27} \\\\[/tex]
[tex]d=14+2*\dfrac{14}{3} +2*\dfrac{14}{9} +2*\dfrac{14}{27} \\=14*(1+\dfrac{1}{3}+\dfrac{2}{9} +\dfrac{2}{27} )\\=14*\dfrac{53}{27} \\=\dfrac{742}{27} \\[/tex]
The total distance the ball has traveled at the instant it hits the ground the fourth time [tex]28ft.[/tex]
What is the total distance?
Distance is a numerical measurement of how far apart objects or points are. It is the actual length of the path travelled from one point to another.
Here given that,
A ball is dropped from a height of [tex]14[/tex] ft. The elasticity of the ball is such that it always bounces up one-third the distance it has fallen.
So, after striking with the ground it covers the distance [tex]14[/tex] ft. so it rebounds to the height is [tex]\frac{1}{3}(14)[/tex].
Then again it hits the ground and covers the distance [tex]\frac{1}{3}(14)[/tex] and again after rebounding it goes to the height is
[tex]\frac{1(1)}{3(3)}.(14)=\frac{(1)^2}{(3)^2}(14)[/tex]
Then it falls the same distance and goes back to the height
[tex]\frac{1}{3}[/tex] ×[tex](\frac{(1)^2}{(3)^2})[/tex] ×[tex]14[/tex] = [tex]\frac{(1)^3}{(3)^3}(14)[/tex]
So, the total distance travelled is
[tex]14+2[\frac{1}{3}(14)+(\frac{1}{3})^2(14)+(\frac{1}{3})^3(14)+...][/tex]
We take the sum is twice because it goes back to the particular height and falls to the same distance.
[tex]S=14+2(\frac{\frac{1}{3}(14)}{1-\frac{1}{3}})\\\\\\S=\frac{a}{1-r}\\\\\\S=14+2(\frac{\frac{14}{3}}{\frac{2}{3}})\\\\S=14+2(\frac{14}{2})\\\\S=14+2(7)\\\\S=14+14\\\\S=28ft[/tex]
Hence, the total distance the ball has traveled at the instant it hits the ground the fourth time [tex]28ft.[/tex]
To know more about thetotal distance
https://brainly.com/question/951637
#SPJ2
Solve the following formula for a.
Answer:
B is correct .trust me
Step-by-step explanation:
If 3x+2=5/9, what is the value of −3x+8?
Group of answer choices
Answer:
= 4
Step-by-step explanation:
first lets find the value of x in 3x+2=5/9
3x+2=5/9
3x = [tex]\frac{5}{9}[/tex] -2
3x = [tex]\frac{3}{9}[/tex]
3x = [tex]\frac{1}{2}[/tex]
x = [tex]\frac{1}{2 * 3\\ }[/tex]
x = [tex]\frac{1}{6}[/tex]
[tex]\frac{1}{6}[/tex] can also be written as [tex]6^{-1}[/tex]
−3x+8
-3 ([tex]\frac{1}{6}[/tex]) +8
[tex]\frac{-3}{6}[/tex] +8
= 4
If a(x + 1) + b(x − 1) − 2 = 0 for all real x, then a =
(A) -2
(B) -1
(C) 0
(D) 1
(E) 2
Answer:
D) 1
Step-by-step explanation:
using the distributive property we have ax+a+bx-b-2=0. because the equation is true for all real x, ax=-bx. this means a-b-2=0 and a=-b. a-b-2=0 becomes a=b+2. then we substitute a for -b and get -b=b+2 which becomes 2b=-2 so b=-1. since a=-b, a=1
HURRY plSSSSSSSSSSSSSSSSSSSSSS
What is the measure of the unknown angle?
Image of a straight angle divided into two angles. One angle is eighty degrees and the other is unknown.
Answer:
The unknown is 100
Step-by-step explanation:
A straight line is 180 degrees
We have two angles x, and 80
x+80 = 180
x = 180-80
x= 100
what is the mean of this graph?
Answer:
Step-by-step explanation:
Mean: sum of terms/ number of terms
4 + 2 + 3 + 1 + 1 + 5 = 16
Numbr of terms = 6
16/6 = 2.66
Answered by g a u t h m a th
Answer:
2 2/3
Step-by-step explanation:
The mean is the average of the values
The values on the graph are 4, 2, 3, 1, 1, and 5
Average is sum/number of values
4+2+3+1+1+5=16
16/6=2 2/3
A person invests 3500 dollars in a bank. The bank pays 4.75% interest compounded
quarterly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 5800 dollars?
9514 1404 393
Answer:
10.7 years
Step-by-step explanation:
The formula for the balance in an account earning compound interest is ...
A = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years. We want to solve for t.
5800 = 3500(1 +0.0475/4)^(4t)
58/35 = 1.011875^(4t) . . . divide by 3500 and simplify a bit
log(58/35) = 4t·log(1.011875) . . . . take logs
t = log(58/35)/(4·log(1.011875)) . . . . divide by the coefficient of t
t ≈ 10.6966 ≈ 10.7
The person must leave the money n the bank for about 10.7 years for it to reach $5800.
What is the volume of the sphere shown below with a radius of 6?
A. 483 Cu, units
B. 2887 cu units
C. 1627 cu units
D. 14431 Cu, units
Answer:
B
Step-by-step explanation:
Volume of the sphere = (4/3)*pi*6^3=288*pi
Answer:
288 pi units^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 pi (6)^3
V = 4/3 pi (216)
V = 288 pi units^3
Given the formula A = 5h (B + b); solve for B.
2
Answer:
B = A/5h - b; You could use
B = (A - 5hb)/5h This just puts everything over a common denominator.
Step-by-step explanation:
A = 5h (B + b) Divide both sides by 5h
A/5h = B + b Subtract b from both sides.
A/5h - b = B
The sum of the 3rd and 7th terms of an A.P. is 38, and the 9th term is 37. Find the A.P.
Answer:
The AP is 1, 11/2, 10, 29/2, 19, ....
Step-by-step explanation:
Let the first term be a and d be the common difference of the arithmetic progression.
ATQ, a+2d+a+6d=38, 2a+8d=38 and a+8d=37. Solving this, we will get a=1 and d=9/2. The AP is 1, 11/2, 10, 29/2, 19, ....
Which best describes the relationship between the line that passes through the points (-6, 5) and (-
2,7) and the line that passes through the points (4, 2) and (6, 6)?
Answer:
Line that passes through the points (-6,5) and (-2,7) is,
y=x/2+8, slope is 1/2
line that passes through the points (4,2) and (6,6) is,
y=2x-6, slope is 2
so, there is no relationship between those two lines,
intersection point is (28/3,38/3)
. Sipho's dad used 4/11 of the packet of oranges to make juice. The
next day he used another 4/11 of the packet of oranges.
a) How many elevenths has he used?
Answer:
8 of the 11
Step-by-step explanation:
4+4=8 of the 11
Part of oranges usef from the orange packet used on 1st day = 4/11
Part of oranges used from the orange packet used on 2nd day = 4/11
Total part of oranges used from the orange packet
= (4/11) + (4/11)
= 8/11
So, Sipho's dad used 8 elevenths of the oranges.
In the triangle shown, AB = 2x + 9 and BC = 5x – 12. Find the value of x.
Answer:
x=7
Step-by-step explanation:
AB=BC[ because two sides of isosceles triangles are equal ]
or, 2x+9=5x-12
or,9+12=5x-2x
or,21=3x
or,x= 21/3
therefore, x=3
Jennifer is saving money to buy a bike. The bike costs $227. She has $106 saved, and each week she adds
$11 to her savings.
How long will it take her to save enough money to buy tho hilo?
Answer:
11 weeks.
Step-by-step explanation:
227-106=121
121 divided by 11 = no. of weeks
Therefore it takes her 11 weeks.
Answer:
It will take 11 weeks
Step-by-step explanation:
11 times 11 is 121.
121 plus 106 is 227
which is the exact number the bike costs
62 + 7h in a algebraic expression
Step-by-step explanation:
62 + 7h is already an algebraic expression.
find the missing side. round your answer to the nearest tenth
Answer:
60.6
Step-by-step explanation:
tan(theta) = P/B
tan(24) = 27/x, x=27/tan(24)=60.6
Solve for x: −7 < x − 1 < 8
6 < x < 9
−6 > x > 9
6 > x > −9
−6 < x < 9
Answer:
-6 < x < 9
Step-by-step explanation:
-7+1 < x-1+1 < 8+1
therefore:
-6 < x < 9
Evaluate the variable expression x y for the given values of x and y. (If an answer is undefined, enter UNDEFINED.) x = 0; y = 21
Solve for r V=pir^2h/3
Answer: sqrt 3V/pih = r
Step-by-step explanation:
3V = (pi r^2h)3
3V = pi r^2 h
3V/pih = r^2
Sqrt (3V/pi h) = r
不
Which line is horizontal?
O y=2
O y = 2x
O y = -2x
o y=x
Answer:
y=2
Step-by-step explanation:
A horizontal line has a slope of zero so the x term is zero
y = mx+b
y = b
y must equal a constant
URGENT PLZ SAVE ME
If c varies directly as b and c = 6 when b = 2.
Find
a) the formula for c in terms of b
b) the value of c given b = 14
c) the value of b given c = 39
Answer:
Hello,
Are you still alive ?
Step-by-step explanation:
a)
c=k*b (c varies directly as b)
6=k*2 ==> k=3 ( c = 6 when b = 2.)
[tex]\boxed{c=3*b }\\[/tex]
b)
b=14 ==> c=3*14=42
c)
c=39
[tex]b=\dfrac{c}{3} =\dfrac{39}{3} =13\\[/tex]
What transformation is described by the
notation (x, y) (x - 3, y)?
A slide left 3 units
B slide down 3 units
C slide right 3 units
Answer:
Step-by-step explanation:
Any alteration to the x value means that the function will move right. There are no exceptions to this that I can think of.
If K = (AB)/(A+B) , then B =?
Answer:
K(A+B)/A
Step-by-step explanation:
K = (AB)/(A+B)
K(A+B)=AB
K(A+B)/A=B
Solve the equation for y. Identify the slope and y-intercept then graph the equation.
Y=4x+3
Y=
M=
B=
Please Show your work and include a picture of the graph if you can
Answer:
y=4x+3
m=4
b=3
Step-by-step explanation:
Since the equation is already solved for y, we don't have to do that. The equation is actually in slope-intercept form, where y=mx+b. m represents the slope, and b represents y-intercept.
Therefore, we can tell m=4 and b=3.
I have also included a picture of what the graph should look like.
if point B is the midpoint of points A and C, find the value of x and AC. AB= 5x - 2, BC= 9x -10
9514 1404 393
Answer:
x = 2AC = 16Step-by-step explanation:
The midpoint divides the segment into two equal lengths:
AB = BC
5x -2 = 9x -10
8 = 4x
2 = x
AB = 5(2) -2 = 8
AC = 2AB = 2(8) = 16
. 15cm 11cm 5cm.
please help find the area and the perimeter of the Right triangle using formular below
P= a+h+d
A=b×h
Answer:
length =15
breadth =11
height =5
Step-by-step explanation:
p=l+ b+h
p=15+11+5
p=31is ur ans
A=b×h
a=11×5
a=55is ur ans
King
Question 4 (2 marks)
Justin works 14 hours at a normal pay rate of $24.80 per hour and 5 hours of overtime at
time and a half. How much should he be paid?
I
809 words
LE
English (Australia)
Answer:
554.7
Step-by-step explanation:
The pay=25.8*14+(25.8)*5*1.5=554.7
Line A passes through the points (6, 1) and (-4, 6). Line B passes through the points (14, 3) and
(-10, -9).
Which statement is true?
Line A does not intersect line B.
Line A overlaps line B.
Line A intersects line B at exactly one point.
PLSSS HELPPP QUICKK
Answer:
Line A does not intersect line B.
Step-by-step explanation:
line A comes close, but does not touch, intersect, or overlap line A. hope this helps, please correct me if i am wrong.
If ∠G measures 45°, ∠F measures 82°, and f is 7 feet, then find g using the Law of Sines. Round your answer to the nearest foot. triangle EFG with side e across from angle E, side f across from angle F, and side g across from angle g 4 feet 5 feet 6 feet 7 feet
The value of g across from angle G is 5feet
According to sine rule
[tex]\frac{e}{sinE}=\frac{f}{sinF}=\frac{g}{sinG}[/tex]
Given the following
∠G = 45°
∠F = 82°
f = 7feet
Required
side g
Substitute the given values into the formula
[tex]\frac{f}{sinF}=\frac{g}{sinG}\\ \frac{7}{sin82}=\frac{g}{sin45}\\\frac{7}{0.9903}=\frac{g}{0.7071}\\7.0686=\frac{g}{0.7071}\\g=7.0686*0.7071\\g=4.998\\g\approx5ft[/tex]
Hence the value of g across from angle G is 5feet
Learn more here: https://brainly.com/question/15018190
The length of the line segment EF ([tex]g[/tex]) is approximately 5 feet.
Let be [tex]EFG[/tex] a Triangle, whose expression derived from the Law of Sines is described below:
[tex]\frac{e}{\sin E} = \frac{f}{\sin F} = \frac{g}{\sin G}[/tex] (1)
Where:
[tex]e[/tex] - Measure of the line segment FG, in feet.
[tex]f[/tex] - Measure of the line segment EG, in feet.
[tex]g[/tex] - Measure of the line segment EF, in feet.
[tex]E[/tex] - Angle at vertex E, in sexagesimal degrees.
[tex]F[/tex] - Angle at vertex F, in sexagesimal degrees.
[tex]G[/tex] - Angle at vertex G, in sexagesimal degrees.
We can determine a missing length, by knowing the length of a neighboring side and two consecutive angles. If we know that [tex]f = 7\,ft[/tex], [tex]G = 45^{\circ}[/tex] and [tex]F = 82^{\circ}[/tex], then the measure of the line segment EF is:
[tex]g = f\cdot \left(\frac{\sin G}{\sin F} \right)[/tex] (2)
[tex]g = (7\,ft)\cdot \left(\frac{\sin 45^{\circ}}{\sin 82^{\circ}} \right)[/tex]
[tex]g\approx 4.998\,ft[/tex]
[tex]g \approx 5\,ft[/tex]
The length of the line segment EF ([tex]g[/tex]) is approximately 5 feet.
