Answer:
The dimensions of the cube would be:
Base: 46,42 units approx.Height: 46,42 units approx.Width: 46,42 units approx.Step-by-step explanation:
For this exercise, I suppose the measure of each cube is 1 unit, because there no says what is (you can replace it for ft, in, or another unit you need). How the big cube is formed by the 100.000 cubes smaller, and how a cube has its three measures equal: base, height, and width, you only need to obtain the cubic root of the total cubes (you use cubic root because you're gonna calculate a cube, for example, if you'd wanna calculate a square, you must obtain the square root of the total cubes):
[tex]\sqrt[3]{100.000} = 46,41588834[/tex]How each cube measure is 1 unit, when you calculate the volume of the cube with the value obtained, you must obtain the total of the cubes:
Volume of the cube= base * height * width Volume of the cube= 46,41588834 * 46,41588834 * 46,41588834 Volume of the cube= 100.000In this form, you know the answer 46,41588834 is the right answer. I use the number with just two decimals (46,42 approximately) but you can use the complete number if you need.
What is 2i-3=2(6-i)+7i as a fraction or decimal or whole number
Answer:
i = - 5
Step-by-step explanation:
Given
2i - 3 = 2(6 - i) + 7i ← distribute and simplify right side
2i - 3 = 12 - 2i + 7i
2i - 3 = 12 + 5i ( subtract 5i from both sides )
- 3i - 3 = 12 ( add 3 to both sides )
- 3i = 15 ( divide both sides by - 3 )
i = - 5
For the function w, w(3) = -2 and w(-2) = 8. If y = w(x), what is the value of y when
x = -2?
Answer:
6
Step-by-step explanation:
i took the test on edge
A new tablet was originally $180. It was on sale for 10% off the original price. The amount of the tablet after 10%
Answer:
$162
Step-by-step explanation:
10% of 180 is 18
180-18=162
I need you guys help on dis...like I don’t even know anymore.
Explain if you can please!!
5x + 4y = 20 on a graph
Answer:
5x + 4y = 20 on a graph
Step-by-step explanation:
discover the pattern and continue 1,2,4,7,11,16,_,_,,_,_
Answer:
Step-by-step explanation
To go from 1 to 2, you add one. To go from 2 to 4 you add two. To go from 4 to 7, you add three. Then you add 4. Then you add 5 and so on.
Model the unknown number problem by writing in algebraic expression. Jonas shared a bag of trail mix equally with 10 of his teammates. T-11 t/11 11t t+11
Answer: its t over 11. T/11
Step-by-step explanation:
I took the assignment
Answer:
b
Step-by-step explanation:
Benito wants to buy a car. He is considering two different models, Model Ais 5 ft wide. Model B is 87 in, wide. Express the width of each car in ft using a decimal. Which car is wider?
Kiran scored 223 fewer points in a computer game than Tyler. Kiran scored 409 points. Which equation would Kiran use to determine how many points, t, Tyler scored?
Answer:
[tex]t-223=409[/tex]
Step-by-step explanation:
Since Kiran scored 223 fewer points in a computer game than Tyler, Tyler's score can be represented as:
[tex]k+223=t[/tex], where [tex]t[/tex] is Tyler's score and [tex]k[/tex] is Kiran's score.
Since Kiran scored 409 points, we can set [tex]k=409[/tex]:
[tex]409+223=t[/tex].
Re-arranging this, we get:
[tex]\fbox{$t-223=409$}[/tex].
Answer:
h
Step-by-step explanation:
j
what is the coefficient of y in 1 x 4 + 7y
What is the Midpoint of segment BC with B(-9, -4) and C(-3, 5)?
Answer:
(-6,0.5)
Step-by-step explanation:
(-9 + -3)÷2= -6
(-4 + 5)÷2=0.5
(-6,0.5)
Please help! Please show work.
Answer:
c is the correct option
Step-by-step explanation:
6*2/3=4
20 divided by 2/3=30
Determine whether the function is linear or nonlinear. y−1/x=11 *
Answer:
vjhghjsbzkcbjhvdhmvh
Step-by-step explanation:
what happens to the value of the expression 80_h as h increases from a small positive number to a large positive number
Answer:
It decreases
Step-by-step explanation:
Hope you don't need an explanation, it decreases is the real answer.
– 2y – 10 = x
- 10x - y = -14
Answer:
hey there guys ^^
Step-by-step explanation:
Please I need help!
Answer:
pls don't give up and try your best!
Step-by-step explanation:
try you best pllss
PleSe please help powaseee
(-z-8)-(6z-5)
HELP FAST
convert 4 miles to feet
A. 21,120
B. 21,000
C. 22,000
D. 20,210
Answer: A. 21,120
Step-by-step explanation: Good luck! :D
She ran 52.16 seconds per 400 meters, how fast was she running in meters per hour?
Answer:
27607.36 meters per hour
Step-by-step explanation:
400/52.16 = 7.66871165644
7.66871165644 meters per second
7.66871165644 × 60 = 460.122699386 meters per minute
460.122699386 * 60 = 27607.3619632 meters per hour
27607.3619632 meters per hour
At a restaurant your bill is $32. You have a coupon for 15% off. You are in Idaho and they charge you 7% tax. (Discount before tax) What is the final cost of your meal after your discount and with tax included? Round to the nearest cent.
Answer:
the answer is 25.30
Step-by-step explanation:
1. first you subtract the 15% from the bill that comes out to $27.20
2. next subtract the 7% tax from the $27.20 to get your answer
Match the angle in parallelogram WXYZ with a congruent one
∠XWZ
Step-by-step explanation:
Opposite angles in a parallelogram are congruent.
Therefore Angle XWZ = Angle XYZ. (D)
Answer:
D)XYZ
Step-by-step explanation:
I am pretty sure that's the answer
Use the number line below, where RS = 6y + 3, ST = 4y + 7, and RT = 60.
Answer:
Step-by-step explanation:
RS + ST = RT
6y + 3 + 4y + 7 = 60
6y + 4y + 3 + 7 = 60
10y + 10 = 60
10y = 60 - 10
10y = 50
y = 50/10
y = 5
RS = 6*5 + 3 = 30 +3 = 33
ST = 4*5 + 7 = 20 + 7 = 27
Step-by-step explanation:
[Diagram in image attached]
RS + ST = RT
(6y +3) + (4y + 7) = 60
6y + 3 + 4y + 7 = 60
10y + 10 = 60
10y = 60 - 10
10y = 50
y = 50/10
y = 5
RS = 6y +3 = 6(5) + 3 = 30 + 3 = 33
ST = 4y +7 = 4(5) + 7 = 20 + 7 = 27
RT = 60
{RS + ST = RT
33 + 27 = 60}
HOPE THIS HELPS YOU
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Ms. Lynette earns $19.50 an hour when she works overtime. She worked overtime twice this week. One day she worked 3 hours of overtime. Her total overtime pay for the week is $146.25.
Write an equation to find the number of overtime hours she worked on the second day, x.
Answer:
146.25 divided by 2
Step-by-step explanation:
The slope formula can be used to find the slope, m, of a line with points (L1, y1) and (22, 42).
Y2 - Yi
22 - 21
m
Which is an equivalent equation?
O Y1 = -m (22 – x1) + y2
yı = -m (x2 – 21) – Y2
Oyı = m (22 – 21) + y2
Oyı = m (22 – 21) – Y2
Answer:
A. [tex] y_1 = -m(x_2 - x_1) + y_2 [/tex]
Step-by-step explanation:
Given, slope formula = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
To find an equivalent equation, let's make [tex] y_1 [/tex] the subject of the formula.
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Cross multiply
[tex] 1(y_2 - y_1) = m(x_2 -x_1) [/tex]
[tex] y_2 - y_1 = m(x_2 - x_1) [/tex]
Subtract [tex] y_2 [/tex] from both sides
[tex] y_2 - y_1 - y_2 = m(x_2 -x_1) - y_2 [/tex]
[tex] - y_1 = m(x_2 - x_1) - y_2 [/tex]
Divide both sides by -1
[tex] \frac{- y_1}{-1} = \frac{m(x_2 -x_1) - y_2}{-1} [/tex]
[tex] y_1 = -m(x_2 - x_1) + y_2 [/tex]
Lee read 1/6 of book on monday and another 1/3 of it on tuesday ,he took another 4 days to finish reading the book he read the same number of pages on each of the days ,what fraction of the book did he read on each of these days?
Answer:
1/8
Step-by-step explanation:
Let
The total fraction of the book read = 1
The remaining 4 days be represented as= x
Hence:
1 = Fraction of book read on Monday + Fraction of the book read on Tuesday + Fraction of the book on the remaining 4 days
1 = 1/6+ 1/3 + x
x = 1 - (1/6+ 1/3)
x = 1 - (1 + 2/6)
x = 1 - (3/6)
x = 1 - 1/2
x = 1/2
The fraction of the book read in 4 days = 1/2
To calculate the fraction of the book read on each of the days, since he read the same number of pages on each of the days we have:
1/2 ÷ 4 days
= 1/2 × 1/4
= 1/8
Therefore, the fraction of the book that was read on each of the 4 days is 1/8
Emily wants to buy a new Gucci purse. She goes into the store and sees that they are running a January Blowout Sale and all purses are 60% off! She finds one that she likes and the tag reads $475.00. How much is Emily going to spend?
Answer:
Emily is going to spend $285
Step-by-step explanation:
You need to multiply 475.00 by 0.60 to get 285 spent on Emily's new purse.
Find the value(s) of the variable(s). Write your answer(s) in simplest radical form.
Answer:
Step-by-step explanation:
12). By applying Pythagoras theorem in the given right triangle,
Hypotenuse² = (Leg 1)² + (Leg 2)²
x² = 7² + 7²
x² = 2(7)²
x = [tex]\sqrt{2(7)^{2} }[/tex]
x = [tex]7\sqrt{2}[/tex]
13). By sine rule,
sin(60)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{9\sqrt{3} }{y}[/tex]
y = [tex]\frac{18\sqrt{3} }{\sqrt{3} }[/tex]
y = 18
By cosine rule,
cos(60)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}=\frac{x}{y}[/tex]
x = [tex]\frac{y}{2}[/tex]
x = [tex]\frac{18}{2}=9[/tex]
14). By applying Pythagoras theorem in the given right triangle,
12² = x² + x²
144 = 2x²
72 = x²
x = √72
x = 6√2
6. The diameter of a circle is 9 feet. What is the measure of its circumference? Round to the nearest tenth.
A. 28.3 ft
B. 63.6 ft
C. 4.5 ft
D. 14.1 ft
Answer:
A.
[tex]C= 28.3 \ \ feet[/tex]
Step-by-step explanation:
Formula for Circumference is
[tex]C=2\pi r[/tex]
We know radius is half of diameter
[tex]r=\frac{d}{2} \\r=\frac{9}{2}[/tex]
[tex]C=2(3.14)\frac{9}{2}[/tex]
[tex]C=(3.14)9\\C=28.3 feet[/tex]
On a shelf there are 60 novels and 20 poetry books. What is the probability that person A chooses a novel and walks away with it and then person B walks up shortly after and picks another novel?