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Alex has 64 cubes with dimensions in feet (ft), like the one shown. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes. Part B: If there are 64 of these cubes in the larger prism, then what is the volume, in cubic feet, of the larger rectangular prism?
Answers
Answer:
The volume, in cubic feet, of the larger rectangular prism is 64 cubic feet
Step-by-step explanation:
Length of small cube =[tex]\frac{1}{2} ft[/tex]
Volume of each cube = Side^3
Volume of each cube =[tex](\frac{1}{2})^3[/tex]
=[tex]\frac{1}{8} ft^3[/tex]
Volume of 64 cubes = [tex]64 \times \frac{1}{8}[/tex]
Volume of 64 cubes [tex]= 8 ft^3[/tex]
We are given that He uses all the cubes to fill a box shaped like a larger rectangular prism.
So, Volume of 64 cubes = Volume of rectangular prism
So, If there are 64 of these cubes in the larger prism, then the volume, in cubic feet, of the larger rectangular prism is 64 cubic feet
URGENT: Solve the following: (5x10^9)x(7x10^5)
A. 3.5 x 10^14
B. 3.5 x 10^15
C. 3.5 x 10^5
D. 3.5 x 10^4
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[tex]5 \times {10}^{9} \times 7 \times {10}^{5} = [/tex]
[tex]35 \times {10}^{14} = [/tex]
[tex]3.5 \times 10 \times {10}^{14} = [/tex]
[tex]3.5 \times {10}^{15} [/tex]
And we're done....
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1. If m28 = 23°, find the measure of each missing angle. Give your reasoning.
a. m21 =
b. m 2 =
c. mZ3 =
d. m24 =
e. m25 =
f. m26 =
g. m27 =
Answers
Answer/explanation:
Given:
m<8 = 23°
a. m<1 = 180° - m<8 (corresponding angles theorem and supplementary angles theorem)
m<1 = 180 - 23 = 157°
b. m<2 + m<1 = 180° (linear pair)
m<2 + 157° = 180°
m<2 = 180° - 153° = 23°
c. m<3 = m<1 (vertical angles are congruent)
m<3 = 157°
d. m<4 = m<2 (vertical angles are congruent)
m<4 = 23°
e. m<5 = m<1 (corresponding angles)
m<5 = 157°
f. m<6 = m<8 (vertical angles are congruent)
m<6 = 23°
g. m<7 = m<5 (vertical angles are congruent)
m<7 = 157°
write expression in standard form 5x-(-4+-2x)
Answers
Answer: 5x+4+2
Step-by-step explanation:
5x-1(-4+2)
multiply the -1 by the -4 and 2
5x+4+2
A savings account balance can be modeled by the graph of the linear function shown on the grid.
What is the rate of change with respect to the number of deposits?
ANSWER CHOICES: 1). $0.50 per deposit. 2) $100 per deposit. 3) $2 per deposit. 4) $50 per deposit
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The rise over run/rate of change ( theyre the same ) is 100/1 so it would be 100
The velocity-time graph for a cycle is shown.
104
8
8
Velocity (m/s)
2
0
0 2 4 6 8 10 12 14 16 18 20
Time (seconds)
a) Work out the distance travelled on the cycle in the first 14 seconds.
b) Work out the acceleration in the first 4 seconds.
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Answer:
a) 98m
b) 2m/s
Step-by-step explanation:
a) 2+4+6+8+10(8) = 98m
b) a = change/time = 8m/4s = 2m/s
not completely sure about a) so pls double check that <//3
good luck and hope this helped a bit!
The correct answers for the given problem are: (a) The distance travelled on the cycle in the first 14 seconds is 96 m and (b)The acceleration in the first 4 seconds is 2 m/s².
How to find the area under a graph?The area under a graph can be found by dividing the graph into equal intervals of very small width and then find the area of the rectangle for each intervals. After summing all the areas of rectangles the area under the graph can be approximated.
The velocity time graph given in the problem can be used to find the distance travelled.
The distance travelled in first 14 seconds is equal to the area of the graph from t = 0 to t = 14.
This area consists of a triangle of height h = 8 and base b = 4 and a rectangle of length l = 8 and width b = (14 - 4) = 10.
Now, the total area is given as,
1/2 × b × h + l × b
= 1/2 × 4 × 8 + 8 × 10
= 16 + 80
= 96
(b) The acceleration is given as the rate change of velocity with respect to time.
The acceleration in first 4 seconds is given as,
a = (8 - 0)/4
= 2
Hence, the distance travelled in first 14 seconds and acceleration in first 4 seconds is given as 96 m and 2 m/s² respectively.
To know more about area of a graph click on,
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Which equation has infinitely many solutions?
12 + 4x = 6x + 10 – 2x
5x + 14 – 4x = 23 + x – 9
x + 9 – 0.8x = 5.2x + 17 – 8
4x – 2x = 20
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Answer:
Bbbbbbbbbbbbbbbbbbbbbb
A ball is dropped and bounces to a height of 5 feet. The ball rebounds to 70% of its previous height after each bounce The function that could be used to model the nth term in the sequence of heights of the ball after the initial drop is
Answers
Answer:
[tex]T_n = 7.143(0.7^n)[/tex]
Step-by-step explanation:
If a ball bounces to a height of 5feet, the initial drop = 5feet
If the ball rebounds to 70% of its previous height after each bounce, the next height after rebouncing will be expressed as;
= 70% of 5
= 70/100 * 5
= 0.7*5
= 3.5 feet
The next height will be 0.7*3.75 = 2.45 and so on
The heights wil form a sequence as thus;
5, 3.5, 2.45...
This sequence forms a geometric progression.
To get the function that could be used to model the nth term in the sequence of heights of the ball after the initial drop, w will find the nth term of the sequence
[tex]T_n = ar^{n-1}[/tex]
a is the first term of the sequence
n is the number of terms
r is the common ratio
From the sequence:
a = 5
[tex]r = \frac{3.5}{5} = \frac{2.75}{3.5} = 0.7[/tex]
Substitute the given values into the formula
[tex]T_n = 5(0.7)^{n-1}\\T_n = 5(\frac{0.7^n}{0.7^1} )\\T_n = \frac{5}{0.7}\times 0.7^n \\T_n = 7.143(0.7^n)[/tex]
The nth tern=m required is [tex]T_n = 7.143(0.7^n)[/tex]
Which equation is equivalent to 2x + 3y = 12?
y=2/3x+4
y= -2/3x+12
y= -2/3x+4
y=2/3x+12
Answers
Answer:
y= -2/3x + 4
Step-by-step explanation:
2x + 3y = 12
3y = 12 - 2x
3y/3 = 12/3 - 2x/3
y = 4 -2x/3
y = -2x/3 + 4
Can somebody please help with this?
Answers
Answer:
x=8°
y= 96°
z= 96°
Step-by-step explanation:
Solve for z first. The whole circle is 360° so if you only count half the angles it will add up to 180°.
Solve for z:
48+36+z=180°
84+z+180°
z=96°
Now that you have z you can solve for x by using only the bottom half of the circle.
z+36+6x=180° *remember z=96
96+36+6x=180
132+6x=180
6x=48
x=8°
Now you can solve for y by either plugging x into an equation or by knowing that opposite angles are equal.
y=96°
please help me find m<1-m<3 before 11:59 !
Answers
TIMED TEST PLEASE HELP Find the distance between the points -5 and -3 on a number line.
Answers
Answer:
-2
Step-by-step explanation:
Answer:
(see below)
Step-by-step explanation:
You can also solve this algebraically:
–5 – (–3)
–5 + 3
–2
Since it can't be negative units between two points on a number line, you can multiply it by –1 to make it a positive number:
–2 (–1)
2 units
Or, you can use a number line. I have screenshotted a number line attached below for you.
Hopefully this helps!
Predict the next three numbers in the pattern.
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Which equation correctly applies the distributive property?
−1.5⋅(6⋅1.25)=(−1.5⋅6)⋅1.25
70+2.028=(70⋅2)+(70⋅0.02)+(70⋅0.008)
(0.7⋅0.7)+(0.7⋅0.9)+(0.7⋅0.2)=0.7⋅(0.7+0.9+0.2)
−2.5⋅0.6⋅5.8=−2.5⋅5.8⋅0.6
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i dont know ethrreer
Step-by-step explanation:
Answer:
Step-by-step explanation:The distributive property dictates that:
a(b + c) = ab + ac
Thus,
(0.7 x 0.7) + (0.7 x 0.9) + (0.7 x 0.2)
= 0.7(0.7 + 0.9 + 0.2)
follows the distributive property. The third option is correct.
The youth center needs to buy 50 tennis balls. They come in cans that hold 6 balls each. How many complete cans of tennis balls will they need to buy? Explain your thinking.
Answers
Answer:
9 complete cans
Step-by-step explanation:
50/6=8 remainder of 2
8 is not enough, they need 9 o
joey has 12 basketballs, which is three times as lisa. lisa has y basketballs. write this situation as an equation
Answers
Answer:
12x3=y
Step-by-step explanation:
i am sure there r other ways to write an equation but this is mines: 12x3=y bc 12 is the number of the basketball joey has and they r saying lisa has 3 times more. it tells us the answer is is 3 times more then 12. i recommend u for these problems take them part by part and then set it up.
Answer:
12x3= what
Step-by-step explanation
there r multiple ways to solve this problem
how can you find the y-intercept in a table
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Answer:the y-intercept will be when y=0. the answer will be the x value that corresponds with y=0.
Step-by-step explanation:
Does anyone know these answers? 50 pts to you if u do.....don't steal from me.
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y = -2x + 3
y = -x + 10
y = 4x + 10
y = 3/2x - 2
y = -1/2x - 1
y = x + 5
y = 25x + 5
y = .99x + 1.99
y = x - 2
y = -1.50 + 1.50
y = 42x + 27
y = -1/3x - 2
now i am in my phone can see the photo
sometimes in the computer don't appear the picture
17/3 as a converted fraction mixed numbers
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Answer:
5 2/3 you can't convert it to a fraction of the answer would be 17/3 because nothing can be done.
Step-by-step explanation:
a bag of grapes weighs 5/8 of a pound. Before any was eaten, the bag of grapes weighed 4 times this amount. What is the weight of the original bag of grapes
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Describe a sequence of transformations that take isosceles trapezoid T to its image T'
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Answer:If you rotate trapezoid BEFG counter clockwise 90° then reflected across pointy you will have the image above
Step-by-step explanation:
Transformation involves changing the position of a shape
The transformation from T to T' is a 90 degree counterclockwise
From the figure, we can see that:
The angle between isosceles trapezoid T and its image T' is a right-angle (i.e. 90 degrees)Figure T' is at the right of TThis means that:
A 90 degree counterclockwise through point D will take trapezoid T to T'
Hence, the required transformation is a 90 degree counterclockwise through point D
Read more about transformations at:
https://brainly.com/question/11709244
I need help ASAP PLEASE
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Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
replace the numbers given for each variable: 7(2)=14+(-1)=13
If one x-value maps to many y-values, does the relation represent a function?
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Answer:
No
Step-by-step explanation:
This is the general rule for any function, where a function cannot have more than one x value for every y value, there is only one output for every input.
You can also use the vertical line test which states that anything that hits the line more than once is not a function.
find the angle measures given the figure is a rhombus
Answers
Answer:
74°
Step-by-step explanation:
A rhombus is a quadrilateral that has its opposite sides to be parallel to be each other. This means that the two interior opposite angles are equal to each other. Since the sum of the angles of a quadrilateral is 360°.
According to the triangle, since one of the acute angle is 32°, then the acute angle opposite to this angle will also be 32°.
The remaining angle of the rhombus will be calculated as thus;
= 360° - (32°+32°)
= 360° - 64°
= 296°
This means the other two opposite angles will have a sum total of 296°. Individual obtuse angle will be 296°/2 i.e 148°
This means that each obtuse angles of the rhombus will be 148°.
To get the unknown angle m°, we can see that the diagonal cuts the two obtuse angles equally, hence one of the obtuse angles will also be divided equally to get the unknown angle m°.
m° = 148°/2
m° = 74°
Hence the angle measure if m(1) is 74°
Es un juego de futbol de salon se vendieron 12000 boletos. El precio de los boletos es de $25.00 en la seccion numerada y $15.00 en la general. Si el ingreso total que se obtuvo fue de $220.000.00 ¿cuantos boletos se vendieron de la seccion numerada?
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Answer:
La cantidad de boletos vendidos en la sección numerada = x = 4000 boletos
El número de entradas vendidas en la sección general = y = 8000 boletos
Step-by-step explanation:
Deje que el número de boletos vendidos en la sección numerada = x
Sea el número de boletos vendidos en la sección general = y
Es un partido de fútbol sala se vendieron 12.000 entradas.
x + y = 12000.… ..... Ecuación 1
x = 12000 - y
El precio de las entradas es de $ 25.00 en la sección numerada y $ 15.00 en la general. Si el ingreso total obtenido fue de $ 220,000.00,
$ 25 × x + $ 15 × y = $ 220 000
25x + 15y = 220.000 ..... Ecuación 2
Sustituya x por 12000 - y en la ecuación 2
25 (12 000 - años) + 15 años = 220 000
300000 - 25 años + 15 años = 220 000
300000 - 220000 = 25 años - 15 años
80000 = 10 años
y = 80000/10
y = 8000 boletos
x = 12000 - y
x = 12000 - 8000
x = 4000 boletos
La cantidad de boletos vendidos en la sección numerada = x = 4000 boletos
El número de entradas vendidas en la sección general = y = 8000 boletos
Responder:
8000
Explicación paso a paso:
Dado que las entradas:
Sección numerada = $ 25
Sección general = $ 15
Ingreso tital = 220.000
Número de entradas vendidas = 12000
Deje el boleto vendido de la sección numerada = n
Número vendido de la sección General = g
n + g = 12000
25n + 15g = 220.000
n = 12000 - g
25 (12000 g) + 15 g = 220000
300.000 - 25g + 15g = 220000
-10g = 220000 - 300000
-10g = - 80000
g = 8000
n = 12000 - g
n = 12000 - 8000
n = 4000
Entradas vendidas de la sección General = 8000
1. The sides of a triangle are in the ratio 3:4:5 What is the length of each side if the perimeter
of the triangle is 90 cm?
Answers
Answer:
22.5 cm, 30 cm, 37.5 cm
Step-by-step explanation:
Sum the parts of the ratio, 3 + 4 + 5 = 12 parts
Divide the perimeter by 12 to find the value of one part of the ratio.
90 cm ÷ 12 = 7.5 cm ← value of 1 part of the ratio, thus
3 parts = 3 × 7.5 cm = 22.5 cm
4 parts = 4 × 7.5 cm = 30 cm
5 parts = 5 × 7.5 cm = 37.5 cm
The 3 sides are 22.5 cm, 30 cm and 37.5 cm
Write the equation of a line that passes through (0, -6) and (11,1).
Answers
Answer:
y=7/11x-6
Step-by-step explanation:
Use algebra titles to solve x + 7 = 9.
Answers
Answer:
2
Step-by-step explanation:
9-7=2
Answer:
x = 2
Step-by-step explanation:
Subtract 7 from both sides.
[tex]x+7=9\\\\x+7-7=9-7\\\\\boxed{x=2}[/tex]
Hope this helps.
Need help ASAP is this a function or not a function
Answers
Answer:
Not a function
Step-by-step explanation:
What is 3/25 simplified? pls answer asap
Answers
Answer:
3/25
Step-by-step explanation:
trust me its right
Answer: 3 /25
is already in the simplest form. It can be written as 0.12 in decimal form (rounded to 6 decimal places).