Answer:
length = 10.64 cm, width = 5.64 cm, and height = 5 cm.
Step-by-step explanation:
Total volume of dice that filled the box = (150 x 2) cm³
= 300 cm³
Let the length, width and height of the box be represented by l, w and h respectively.
So that;
l = (w + 5) cm
w = w
h = 5 cm
volume of the box = length x width x height
= (w + 5) x w x 5
= (w + 5) x 5w
= 5[tex]w^{2}[/tex] + 25w
volume of the box = 5[tex]w^{2}[/tex] + 25w
Since the box was completely filled by 150 dice, then;
total volume of dice = volume of the box
300 = 5[tex]w^{2}[/tex] + 25w
5[tex]w^{2}[/tex] + 25w - 300 = 0
Divide through by 5 to have;
[tex]w^{2}[/tex] + 5w - 60 = 0
Applying the quadratic expression,
w = (-b ± [tex]\sqrt{b^{2} - 4ac}[/tex]) ÷ 2a
where: a = 1, b = 5 and c = -60
(-5 ± [tex]\sqrt{5^{2} - 4(1*-60)}[/tex] ) ÷ 2
(-5 ± [tex]\sqrt{265}[/tex]) ÷ 2
(-5 ± 16.28) ÷ 2
(-5 + 16.28) ÷ 2 OR (-5 - 16.28) ÷ 2
5.64 OR -10.64
Thus, w = 5.64 cm
So that, l = (w + 5) = 10.64 cm
The possible dimensions of the box are: length = 10.64 cm, width = 5.64 cm and height = 5 cm.
Lawrence bought 2/3 pound of roast beef. He used 3/4 of it to make a sandwich. How much beef did he use for his sandwich A 5/12 pound B 1/2 pound C 5/7 pound D 6/7 pound
Answer:
B) 1/2 pound
Step-by-step explanation:
Lawrence bought 2/3 pound of roast beef.
He used 3/4 of it to make a sandwich.
The amount of beef that he used for his sandwich is calculated as:
3/4 of 2/3 pounds of roast beef
3/4 × 2/3
= 6/12 pound
= 1/2 pound
Option B is the correct Option.
THESE 2 QUESTIONS ASAP PLS! BRAINLIEST!!
Answer:
1=y=4x+-2 2=y=4x-3
Step-by-step explanation:
CAN SOMEONE HELP ME WITH PATTERN 1
What is the top one :(
Answer:
All answer below
Step-by-step explanation:
Equation of the Line
The standard form of the equation of a line is shown below:
Ax+By=C
And the slope-intercept form is:
y = mx + b
Where m is the slope and b is the y-intercept.
If we wanted to convert from the first form to the second we will perform the following operations:
Subtract Ax:
By = -Ax + C
Divide by B:
y = -A/Bx+C/B
The coefficient of x is -A/B (fill the blank with that text) and the y-intercept is C/B (again, fill in the blank)
The slope m is the coefficient of x, m=-A/B and it can be found it you divide the opposite of A by B. The selected option is correct.
The y-intercept is the division of C by B. Again, the selected option is correct.
Please help me my homework is due tomorrow use the screen shot
Answer:
1/5
Step-by-step explanation:
(5^7*5^5)/5^13 (when multiplying numbers with the same base, add the exponents)
= (5^12)/5^13 (when dividing exponents with the same base, subtract the exponents)
= 1/5^1 (anything to the first power is itself)
= 1/5
I will give brainliest
A. 2x-1+3x=0
B. 5x-1=0
1) How can we get Equation B from Equation A?
Choose 1 answer:
(Choice A) Add/subtract the same quantity to/from both sides
(Choice B) Add/subtract a quantity to/from only one side
(Choice C) Rewrite one side (or both) by combining like terms
(Choice D) Rewrite one side (or both) using the distributive property
20 points
Need help ASAP!!!!!!!
Answer:
I can't see the assignment question. It says there is nothing attached...
Step-by-step explanation:
Use the table. Make a scatter plot relating the distance of various cities from the metro area to the population of the cities. SOMEONE HELP ASAP ILL GIVE BRAINLIEST
Answer:
Option (A)
Step-by-step explanation:
From the table attached,
Independent variable 'x' is will be represented by the distance from Metro area.
Similarly, dependent variable 'y' will be on y-axis.
Scatter plot relating the distances of various cities from the metro area (x) to the population of the cities (y) will be represented by the ordered pair as (x, y).
Set of ordered pairs to be plotted,
[(1, 300), (5, 275), (10, 208), (15, 135), (20, 108)]
Therefore, graph given in Option (A) will be the answer.
what would be the slope intercept form?
Answer:
y=7/2x-4
Step-by-step explanation:
Slope-intercept form is written y=mx+b. M stands for slope, x stays as x, and b is the y-intercept. If we plug in the numbers we have, the equation becomes...
y=7/2x-4
I hope this helps you out!! The equation is actually pretty simple once you get used to it. Have a nice day ヾ(•ω•`)o
The pair figures are similar.find the missing side
Answer:
C. x=3
Step-by-step explanation:
Because the sides are proportionate to each other
Side 3 is 3x the length of Side 1
Therefore,
Side 9 is also 3x the length of side X
3x=9
Divide both by 3
and X will be 3.
Name the zero(s) of f (x).
Answer:
(a, 0) and (b, 0)
General Formulas and Concepts:
Alg I
Zeros of a Quadratic FunctionReading a Cartesian GraphStep-by-step explanation:
We are looking for the zeros of f(x). The blue quadratic is the graph of f(x). Zeros mean the coordinates when the graph crosses the x-axis. Therefore, our correct answer is the last choice.
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Which has a slope of -2?
Answer:
The answer would be line be because it goes down 2 and forward one.
Leila was asked to solve the equation 2 over 3 left parenthesis x plus 5 right parenthesis equals 29. The first step she did to solve the equation was 2 over 3 left parenthesis x right parenthesis plus 2 over 3 left parenthesis 5 right parenthesis equals 29. What property did she use in this step?
A.associative
B.commutative
C.distributive
D.reflexive
Which answer is right !
Which of Earth’s spheres encompasses all of
Earth’s water?
a. the hydrosphere
b. the atmosphere
c. the asthenosphere
d. the geosphere
Answer:
The answer is A.
Step-by-step explanation:
All of earths bodies of water including groundwater. the hydrosphere also includes the cryosphere, which is made up of the worlds ice sheets and sea ice.
Answer:
a. the hydrosphere
Step-by-step explanation:
hydro means water
524800 in scientific notation?
Answer:
5.248 x 10^5
Step-by-step explanation:
there should be one digit and then however many decimals after. the exponent is positive because the original number is larger than one's digit.
Which of these is a factor of 10?
A. 20
B. 2
C. 4
Answer:
B. 2
Hope this helps!
Step-by-step explanation:
The factors of 10 are 1, 2, 5, and 10. You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10. 1 x 10 = 10, so 1 and 10 are also factors of 10.
caculate the diffrence of 13.9-1.149
Answer:
12.751
Step-by-step explanation:
13.9 - 1.149
--Subtract--
Answer:
12.751
Step-by-step explanation:
Just do subtraction.
HELP PLS THIS IS A TEST QUESTION
Which linear inequality is represented by the graph?
y<1/2x+2
y>1/2x+2
y<1/3x+2
y>1/3x+2
Answer:
y<1/2+2
Step-by-step explanation:
Answer:
I think the answer is A because I learned about slope last year
Answer? I’m confused
If 1/4 fourth is ordered within the list of numbers 2/3 thirds, 1.75 and −0.75, between which two numbers would it be placed?
Answer:
Between -0.75 and 2/3 thirds.
Step-by-step explanation:
Given that:
A list of three numbers.
2/3 thirds, 1.75 and −0.75
Let us convert them all in decimal points.
0.67, 1.75 and -0.75.
Now, let us sort them in the ascending order.
-0.75, 0.67, 1.75
Looking at the given number to be placed: [tex]\frac{1}{4}[/tex] which is equal to 0.25
Now, let us place them on a number line.
We can clearly see that the given number will be between -0.75 and 2/3 thirds.
Kindly have a look at the answer area for the attached image containing the number line for the list of numbers and the given number.
Please show your work for this question
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[tex]4 \times {9}^{2x} = 42[/tex]
Divide sides by 4
[tex] \frac{4 \times {9}^{2x} }{4} = \frac{42}{4} \\ [/tex]
[tex] {9}^{2x} = \frac{2 \times 21}{2 \times 2} \\ [/tex]
[tex] {9}^{2x} = \frac{21}{2} \\ [/tex]
[tex]( { {9}^{2} })^{x} = \frac{21}{2} \\ [/tex]
[tex]x = log_{ {9}^{2} }( \frac{21}{2} ) \\ [/tex]
[tex]x = \frac{1}{2} log_{9}( \frac{21}{2} ) \\ [/tex]
[tex]x = \frac{1}{2} log_{ {3}^{2} }( \frac{21}{2} ) \\ [/tex]
[tex]x = \frac{1}{2 \times 2} log_{3}( \frac{21}{2} ) \\ [/tex]
[tex]x = \frac{1}{4} log_{3}( \frac{21}{2} ) \\ [/tex]
[tex]x = \frac{1}{4} ( \: \: log_{3}(21) - log_{3}(2) \: \: ) \\ [/tex]
[tex]x = \frac{1}{4} ( \: \: log_{3}(3 \times 7) - log_{3}(2) \: \: ) \\ [/tex]
[tex]x = \frac{1}{4} ( \: \: log_{3}(3) + log_{3}(7) - log_{3}(2) \: \: ) \\ [/tex]
[tex]x = \frac{1}{4} ( \: \: 1 + log_{3}(7) - log_{3}(2) \: \: ) \\ [/tex]
And we're done...
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What is the opposite integer of –(–7)?
Write an equation for the line in slope- intercept form. 2. Х -4 -2 o 2 4. -2 4
Answer:
y= -2x-3
Step-by-step explanation:
this is because the y intercept is at negative 3 and the rise over run is down 1 over 2
i'll mark you has brainliest
Answer:
y= 5 x+ 1
Step-by-step explanation:
Answer:
i think its 21x + 11 = y
Step-by-step explanation:
sorry if this is wrong, if it is someone correct me.
The coefficients corresponding to k=0,1,2, ...,6 in the expansion of (x + y)^6 are ___.
A. 0, 1, 6, 15, 15, 6, 1, 0
B. 1, 6, 15, 20, 15, 6, 1
C. 0, 6, 15, 20, 15, 6, 0
D. 1, 6, 15, 15, 6, 1
Answer:b
Step-by-step explanation:
Answer: B.
Step-by-step explanation:
whats the slope of the line y-9=15 x-5
Answer:
Slope= 15
Hope this helps! :)
Select the equation which represents the graph.
Question 1 options:
A: y − 3 = 3/2(x − 4)
B: y − 3 = 2/3(x − 4)
C: y − 3 =− 2/3(x − 4)
D: y − 3 = −3/2(x − 4)
Answer:
B. [tex] y - 3 = \frac{2}{3}(x - 4) [/tex]
Step-by-step explanation:
We can create an equation to represent the graph in point-slope form, given as [tex] y - y_1 = m(x - x_1) [/tex], by using a point (x1, y1) on the line, (4, 3) and the slope (m) of the line.
Let's find slope using the two points (4, 3) and (-2, -1).
[tex] slope (m) = \frac{y_2 - y_1}{x_2 -x_1} = \frac{-1 - 3}{-2 - 4} = \frac{-4}{-6} = \frac{2}{3} [/tex]
Substitute m = ⅔, x1 = 4, and y1 = 3 in [tex] y - y_1 = m(x - x_1) [/tex].
The equation that represents the graph would be:
✅[tex] y - 3 = \frac{2}{3}(x - 4) [/tex],
The triangles in the picture are congruent by which method
110 meters of fencing are used to fence a rectangular pasture of 750 square meters of farmland. If the length of the pasture is longer than the width, what is the width of the pasture in meters?
Answer:
25mStep-by-step explanation:
Perimeter of the rectangular pasture P = 2(L+W)
Area A = LW
L is the length
W is the width
Given
Perimeter = 110m
Area = 750m
If the length of the pasture is 40m longer than the width, then L = W+40
110 = 2L+2w
55 = L+W .....1
750 = LW.....2
Solving simultaneously
from 1; L = 55-W
substitute into 2;
750 = (55-W)W
750 = 55W-W²
-W²+55W -750 = 0
W²-55W+750 = 0
(W²-25W)-(30W+750) = 0
W(W-25)-30(W-25) = 0
(W-25)(W-30) = 0
W-25 = 0 and W-30 = 0
w = 25m and 30m
Since L = 55-W
L = 55-25 = 30m and;
L = 55-30 = 25m
Since we are told that length id longer than the width then, the width we are going to use is 25m