Complete Question
A truck is being filled with cube-shaped packages that have side lengths 1/4 foot. The part of the truck that is being filled is in the shape of a rectangular prism with dimensions 8ft × 6 1/4 ft × 7 1/2 ft. Find the number of cubes that can fill that part of the truck
Answer:
1500 cubes
Step-by-step explanation:
Step 1
Find the volume of the cube
V = side length ³
V = (1/4 ft)³
V = 1/64
Step 2
Find the volume of the rectangular prism
= Length × Width × Height
= 8ft × 6 1/4 ft × 7 1/2 ft
= 8 × 25/4 × 15/2
= 375 ft³
Step 3
Number of cubes in the truck
Volume of the Rectangular Prism ÷ Volume of the cube
= 375ft³ ÷ 1/4ft³
= 375 × 4
= 1500 cubes
Therefore, the number of cubes that can fill that part of the truck(Rectangular prism) = 1500 cubes
Students are given 3 minutes for each multiple-choice question and 5 minutes for each free-response question on a test. There are 15 questions on the test, and students are given 51 minutes to take it.
The system of equations shown can be used to find the number of multiple-choice questions, m, and the number of free-response questions, f, on the test.
m + f = 15
3m + 5f = 51
How many multiple-choice questions are on the test?
3
5
12
14
Answer:
12
Step-by-step explanation:
Answer:
m = 12, f = 3
So, there are 12 multiple-choice questions on the test.
Using the Pythagorean Theorem, find the distance between the points.
Answer:
(5,7,8.6)
Step-by-step explanation:
Create a line on each the x axis and the y axis which intersects at a right triangle. The x axis line is 7 squares and the y axis is 5 squares. Now you can use the Pythagorean theorem.
a^2+b^2=c^2
7^2+5^2=c^2
49+25=c^2
74=c^2
8.6=c
Micheal is collecting sea glass from the beach. He begins with 14 pieces in his collection and adds 2 new pieces each day. Determine how may days it will Micheal to have 80 pieces of sea glass in his collection.
Answer:
It would take Micheal 22 days.
Step-by-step explanation:
The end goal is to have 80 and we begin with 14
So, 80 - 14 = 66 pieces left to collect
If he collects 3 per day we'll divide 66 by 3, which equals 22
Therefore it takes him 22 days
If θ is an angle in standard position and its terminal side passes through the point (-4,-9), find the exact value of \tan\thetatanθ in simplest radical form.
Given:
θ is an angle in standard position and its terminal side passes through the point (-4,-9).
To find:
The exact value of tanθ in simplest radical form.
Solution:
If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of tanθ is:
[tex]\tan \theta=\dfrac{y}{x}[/tex]
It is given that, θ is an angle in standard position and its terminal side passes through the point (-4,-9). So, t he exact value of tanθ is:
[tex]\tan \theta=\dfrac{-9}{-4}[/tex]
[tex]\tan \theta=\dfrac{9}{4}[/tex]
Therefore, the required value is [tex]\tan \theta=\dfrac{9}{4}[/tex].
(2x-y)2-(y+2)2:::::::::::::::
Answer:
(2x - y )2 - (y + 2)2 = 4 (x - y - 1)
Step-by-step explanation:
[tex](2x -y) 2 - ( y + 2 ) 2 = (4x -2y) -(2y + 4) \\\\[/tex]
[tex]= 4x - 2y -2y - 4\\\\=4x - 4y - 4\\\\=4(x-y-1)[/tex]
Q.No.1: A subset of {2, b} is:
Answer:
{2}
or
{b}
a subset is a part of the whole set.
Answer:
hope it helps...
Please help I really need ur help please
Answer:
y = 3x - 30
Step-by-step explanation:
First, put both equations into slope-intercept form.
x + 3y - 4 = 0
3y = -x + 4
y = (-1/3)x + (4/3)
2x + 5y - 20 = 0
5y = -2x + 20
y = (-2/5)x + 4
For a line to be perpendicular to y = (-1/3)x + (4/3), its slope should be the opposite and reciprocal of this line's slope.
The slope of y = (-1/3)x + (4/3) is (-1/3). The slope of a perpendicular line is 3.
To find the x-intercept of y = (-2/5)x + 4, plug in 0 for y and find x.
0 = (-2/5)x + 4
x = 10
The equation of the line right now is y = 3x + b
Plug in (10, 0) to find the y-intercept.
0 = 3(10) + b
b = -30
The equation of the line is y = 3x - 30
What is the answer and explain why
Answer:
20
Step-by-step explanation:
Take note of the important information/key words:
60 total ornaments
3 grandchildren
Divide them evenly
Set up an equation:
60 ornaments ÷ 3 grandchildren = ornaments per grandchild
60 ÷ 3 = 20 ornaments per grandchild.
In other words, each grandchild will receive 20 ornaments.
Need help with this
Two friends work at different companies, P and S. Both companies use the number of hours that an employee works to calculate that employee's vacation hours. The relationship between the number of hours worked and the number of vacation hours for employees at each company is shown in the table and graph, respectively. + COMPANY S COMPANY P Hours Worked Vacation Hours 10 014 Vacation Hours NA Uomo 20 0.8 30 1.2 40 1.6 50 2.0 20 40 60 80 100 120 Hours Worked Drawn on add images here Which statement describes the difference in each friend's vacation hours if both friends work 2,080 hours?
Answer:
Rhys was the only man in a day and he was a the work that he has been through and you have a very nice feeling and a good friend of the family that s you have to love you and love you all and becomes the most loved person you have a lot to be proud about and becomes the first time that he is in a few hours and a day of the day of his death that s and you are the only person who can do this by sanjay and becomes the most beautiful man ever and becomes the first person in your class and the life that s for any of the other things you have a lot of the time to do this is not a sin of God or no company in this way to the holy grail and you will not starting with a job that s you to village in a day of the day that s the meeting of your family in a day and a day 5th birthday party for any other day and day to night and a day and day for a couple to get the chance of being the first person to village and to village and to be in a 666inches and a half hour trip from London and a day of his time of life in London we will have to see how the tempe and becomes a new place in a few years and becomes the most popular place in EuropeExpress x^2 + 4x - 7 in the form (x + a)^2 - b where a and b are intergers
Answer:
[tex]a = 2 \\ b = 11[/tex]
Step-by-step explanation:
[tex] {x}^{2} + 4x + 4 - 4 - 7 = {(x + 2)}^{2} - 11[/tex]
which of the following indicates that triangle QRS and triangle TUV are similar? Btw I need a valid step-by-step on how you do this, if not I'll report your answer, and assume you're doing it for the points!!
Answer:
third option.
∼ means similar
≅ means congruent
≈ means approximate
= means equal
Answer the questions for BRAINLIEST (EASY)
A.
B.
C.
Answer:
A=x-3
B=X-14
C=X-10
Irene faced north. She turned 270 ° to the left and then 90 ° more to the left.
In what direction is Irene now facing?
14. A polygon ABCD is inscribed in a circle. Find angle ABC
15. A polygon GHIJ is inscribed in a circle if GHI=76 and HIJ=66 what is IJG
Answer:
m<ABC = 100degrees
m<IJG = 104degrees
Step-by-step explanation:
14. The sum of the opposite angle of the quadrilateral is 180degrees. Hence;
m<ADC + m<ABC = 180
3y+8+4y+4 = 180
7y + 12 = 180
7y = 180 - 12
7y = 168
y = 168/7
y = 24
Get <ABC
m<ABC = 4y+4
m<ABC = 4(24) + 4
m<ABC = 96 + 4
m<ABC = 100degrees
15. Similarly for this;
GHI + IJG = 180
76 + m<IJG = 180
m<IJG = 180 - 76
m<IJG = 104degrees
The measurement of a rectangular room on a scale drawing are 8cm x 6cm. If the scale use is 1 : 400, calculate the actual area of the room in m².
Answer:
768 m²
Step-by-step explanation:
8 x 400 = 3200 cm = 32 m
6 x 400 = 2400 cm = 24m
32 x 24 = 768 m²
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer: 46º
Step-by-step explanation:
The Triangle Sum Theorem states that all triangles’ angles add up to a total of 180º. Therefore, to find X, just set up an equation.
70+64+X=180
134+X=180
-134 -134
X=46
Hope this helps!
Sara and jo both ran an 8km race Sarah took 55 mins to run the whole race jo started the race 3 mins later than Sara but caught up when they had both travelled 6 km of Sara and jo both ran at constant speed what is jos speed in 2dp
Answer:
9.41 km/h
Step-by-step explanation:
The total distance of the race, d = 8 km
The time Sarah took to run the race, t = 55 mins
The time Jo started the race = 3 mins later than Sara
The point Jo caught up with Sarah = 6 km into the race
The rate at which Jo and Sarah ran = Constant speed
The required information = Jo's speed
From the information given, Sarah's speed, v = 8 km/(55 mins) = (8/55) km/min × 60min/h = 96/11 km/h
The time it would take Sarah to run 6 km = 6 km/(8 km/(55 mins)) = 41.25 mins
Given that Jo started 3 minutes late, and they both arrive at 6 km into the race at the same point in time, the time it took Jo to arrive at 6 km into the race = The time it took Sarah - 3 minutes
∴ The time it took Jo to run the 6 km = 41.25 minutes - 3 minutes = 38.25 minutes
Given that Jo ran at a constant speed, and speed = distance/time, we have;
Jo's speed = 6 km/(38.25 min) = 8/51 km/min × 60 min/h = (160/17) km/h ≈ 9.41 km/h.
given data 4,y,9,5,2,7 find y if the mode is 4
the mean is 5
the median is 6
Answer:
y = 3
Step-by-step explanation:
y , 2 , 4 , 5 , 7, 9
Mean = 5
[tex]\frac{4+y+9+5+2+7}{6}=5\\\\\frac{y+27}{6}=5\\\\y+27 = 5*6\\y +27=30\\y=30-27\\y = 3[/tex]
Triangle ABC is reflected across x = 1 and y = -3. What are the coordinates of reflection image of A after both reflections
Answer:
(1,0)&(0,-3)
Step-by-step explanation:
might be not sure..
5. In the triangle ABC, M is the midpoint of [AB] and N is the midpoint of [CM].
Find the coordinates of N. Given that A(-1,3), B(7.-3) and C(1,6).
Answer:
The coordinate or the point N is (2,3)
Step-by-step explanation:
The formula for the midpoint of two points is;
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
for AB
A(-1,3) and B (7,-3)
We have;
(x,y) = (-1 + 7)/2 , (3-3)/2 = (6/2, 0/2) = (3,0)
For CM;
C(1,6) and M(3,0)
(x,y) = ( 1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)
The length of a rectangle is 6 yards more than 8 times the width. The perimeter is 102 yards. Find the length and width.
•show work/steps!!
•any links/wrong answers will be reported
can someone please help PLEASE
You deposit $70 in a savings account that pays an annual interest rate
of 3%. How much simple interest would you earn in 2.5 years?
Answer:
I=70*.03*2.5
I=70*.075
I=$5.25 is the interest.
Step-by-step explanation:
PLEASE HELP ASAP - ILL GIVE BRAINLEST
GIVE THE WORK FOR IT TP PELASEE!! and 20 points
Answer:
Step-by-step explanation:
Hope this helps u !!
Solve: log2(3x + 8) = 5 Which is an equivalent equation?
Answer: 5/log (8) - 8/3
Step-by-step explanation:
Answer:
A:2^5=3x + 8 /x=8/The next part is B.x3=64 /x=4
Step-by-step explanation:
I just did it hope this helps
If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x).
O A. 2x-3
O B. 4x+1
ОС. 3х – 3
O D. 2x-1
Answer:
.➌×-➌
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
By definition, (f+g)(x) = f(x) + g(x)
So, (f+g)(x) = 3x - 1 + x + 2
= 4x + 1
Solve for X. the Polygons in each pair are similar.
Answer:
x = 7
Step-by-step explanation:
If the triangles are similar, the side length ratios have to be the same
49 63
------------- = ---------
42 8x-2
Using cross products
49 ( 8x-2) =42 (63)
Divide each side by 49
8x-2 = 42*63/49
8x -2 = 54
Add 2 to each side
8x = 56
Divide b 8
8x/8 = 56/8
x = 7
he tables represent two linear functions in a system.
A 2 column table with 5 rows. The first column, x, has the entries, negative 6, negative 3, 0, 3. The second column, y, has the entries, negative 22, negative 10, 2, 14. A 2 column table with 5 rows. The first column, x, has the entries, negative 6, negative 3, 0, 3. The second column, y, has the entries, negative 30, negative 21, negative 12, negative 3.
What is the solution to this system?
(negative StartFraction 13 over 3 EndFraction, negative 25)
(negative StartFraction 14 over 3 EndFraction, negative 54)
(–13, –50)
(–14, –54)
Answer:
8-22 is the answer ok thanks
What is the surface area of the rectangular prism below?
Answer:
108 in.
Step-by-step explanation:
SA = 2(lw + wh + lh)
SA = 2((6)(4) + (4)(3) + (6)(3)
SA = 2(24) + (12) + (18)
SA = 2(54)
SA = 108 in.
Answer:
108
Step-by-step explanation:
