Answer:
Volume = 21.6 ft³
Area = 58 ft²
Step-by-step explanation:
(1)
Applying,
V = lwh......................... Equation 1
Where V = Volume of the rectangular box, l = length of the box, w = width of the box, h = heigth of the box.
From the question,
Given: l = 3 ft, w = 1.2 ft, h = 6 ft.
Substitute these values into equation 1
V = 3×1.2×6
V = 21.6 ft³
(2)
Applying
A = 2(lw+lh+wh)............. Equation 2
Where A = surface area of the box
Also substituting into equation 2
A = 2[(3×1.2)+(3×6)+(1.2×6)]
A = 2(3.6+18+7.2)
A = 2(28.8)
A = 57.6 ft²
A = 58 ft²
A map scale has 1cm:3miles the distance between two towns 7 cm what is the real life distance between the two towns?
Answer: 21 miles
Step-by-step explanation:
7x3 = 21 miles
Sharon has a patio in the shape of a rectangle
The length of the patio is I feet
• The width of the patio is w feet
Sharon plans to expand the patio by increasing the length by 50% and increasing the width by 20%
Which of the following expressions could be used to find the area, in square feet, of the expanded patio
O A. (1.51) (1.2w)
O B. (+0.5) Xfw +0.2)
© C. (2 x w) + (0,5 +0.2)
O D. (0.5l) (0.2w)
Answer:
D
Step-by-step explanation:
The area of the expanded rectangular patio is: D. (0.5l)(0.2w)
What is the Area of a Rectangular Patio?Area = (length)(width)
Given the following:
l = length of patiow = widthNew length = 50% of l = 0.5l
New width = 20% of w = 0.2w
Area of the expanded rectangular patio = (0.5l)(0.2w)
Learn more about area of rectangle on:
https://brainly.com/question/25292087
Jello someone please help me
No links or files please
Answer:
3. 43 4. 84 5. 522
Step-by-step explanation:
[tex]\frac{25}{24} x \frac{18}{35} =\\[/tex]
Answer:
1307/840
Step-by-step explanation:
- 7th Grade work -
Pls just say if it's a, b, c, or d.
Answer:
We first need to solve the inequality so,
3 > j/-3 - 7
+7 +7
10 > j/-3
x-3 x-3
-30 > j
D is your answer.
It starts around -30 and the numberline is bold as it goes DOWN. The circle is hallow which also means just greater than.
WILL GIVE BRAINLIEST!!!!
Solve the inequality:
n - 48 < 12
Answer: n < 60
Step-by-step explanation:
n - 48 < 12
n - 48 + 48 < 12 + 48
n < 60
The average amount that a college student spends on a textbook is $205 with a
standard deviation of $35. What is the probability that a student spends:
A. between $10 and $310?
B. between $135 and $275?
C. more than $240?
Answer:
Step-by-step explanation:
Today's calculators have statistical functions built in.
A. Here we use:
normalcdf(10,310,205,35), WHICH returns 0.999.
B. normalcdf(135,275, 205,35) = 0.954
C. normalcdf(240, 10000, 205, 35) = 0.159
What is -2(3x+12y-5-17x-16y+4) simplified?
Answer:
Solution given:
-2(3x+12y-5-17x-16y+4)
-6x-24y+10+34x+32y-8
34x-6x+32y-24y+10-8
28x+8y+2 is a required answer.
PLS SOMEONE NEEDS TO HELP MEE
Can someone help me with this pls.
Here are pairs of equivalent expressions in standard form and factored form. Find the missing symbols and numbers that make the equations true. Answers should be numbered and rewritten with the boxes replaced with the proper symbols or numbers. Show work or justification to support your choices and prove that the equations are still true.
Answer:
[tex](1)\ [12]x^2 [-][37]x - 30 = (3x + 2)(4x - 15)[/tex]
[tex](2)\ x^2\ [\ -]\ 169 = (x \[+ ]\ 13){x\ [- ]\ [13 ])[/tex]
[tex](3)\ x^2 [-]\ [9]x + 20 = (x\ [-] 5)(x- [4])[/tex]
[tex](4)\ x^2 + [11]x + 28 = (x + 7)(x + [4])[/tex]
[tex](5)\ x^2 + [5]x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Complete the boxes
Solving (1):
[tex][ \ ]x^2 [ \ ] [\ ]x - 30 = (3x + 2)(4x - 15)[/tex]
Swap the equation
[tex](3x + 2)(4x - 15) = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]
Open bracket
[tex]12x^2 -45x + 8x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]
Simplify the like terms
[tex]12x^2 -37x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]
So, we have:
[tex][12]x^2 [-][37]x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]
i.e.
[tex][12]x^2 [-][37]x - 30 = (3x + 2)(4x - 15)[/tex]
Solving (2):
[tex]x^2\ [\ ]\ 169 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]
The above expression illustrates the difference of two squares.
So, complete the first equation with minus
[tex]x^2\ [\ -]\ 169 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]
Express 169 as 13^2
[tex]x^2\ [\ -]\ 13^2 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]
Apply difference of two squares
[tex](x + 13)(x - 13) = (x \[\ ]\ 13){x\ [\ ]\ [\ ])[/tex]
So, the complete expression is:
[tex]x^2\ [\ -]\ 169 = (x \[+ ]\ 13){x\ [- ]\ [13 ])[/tex]
Solving (3):
[tex]x^2 [\ ]\ [\ ]x + 20 = (x \ [\ ]5)(x - [\ ])[/tex]
20 can be expressed as: -5 * -4
So, the expression becomes
[tex]x^2 [\ ]\ [\ ]x + 20 = (x \ [- ]5)(x - [4 ])[/tex]
Expand
[tex]x^2 [\ ]\ [\ ]x + 20 = x^2 - 5x - 4x + 20[/tex]
[tex]x^2 [\ ]\ [\ ]x + 20 = x^2 -9x + 20[/tex]
So, the complete expression is:
[tex]x^2 [-]\ [9]x + 20 = (x\ [-] 5)(x- [4])[/tex]
Solving (4):
[tex]x^2 + []x + 28 = (x + 7)(x + [])[/tex]
28 can be expressed as 7 * 4
So, the expression becomes
[tex]x^2 + []x + 28 = (x + 7)(x + [4])[/tex]
Expand
[tex]x^2 + []x + 28 = x^2 + 7x + 4x + 28[/tex]
[tex]x^2 + []x + 28 = x^2 + 11x + 28[/tex]
So, the complete expression is:
[tex]x^2 + [11]x + 28 = (x + 7)(x + [4])[/tex]
Solving (5):
[tex]x^2 + []x - 24 = (x\ []\ [])(x\ []\ [])[/tex]
-24 can be expressed as -3 * 8
So, the expression becomes
[tex]x^2 + []x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]
Expand
[tex]x^2 + []x - 24 = x^2 +8x - 3x - 24[/tex]
[tex]x^2 + []x - 24 = x^2 +5x - 24[/tex]
So, the complete expression is:
[tex]x^2 + [5]x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]
An equation is formed of two equal expressions. The complete equations are:
[tex]12x^2-37x-30 = (3x+2)(4x-15)[/tex][tex](x^2-169) = (x+13)(x-13)[/tex][tex]x^2-9x+20=(x-5)(x-4)[/tex][tex]x^2 + 11x + 28 = (x+7)(x+4)[/tex][tex]x^2 + 5x - 24=(x+8)(x-3)[/tex]What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
1. The first equation that is given to us is:
[tex](?x^2)\ ?\ (?x)-30 = (3x+2)(4x-15)[/tex]
Now, if we simply expand the right-hand side of the equation we will get the equation that is mentioned on the left side of the given equation, therefore,
[tex](3x+2)(4x-15)\\\\= 12x^2-45x+8x-30\\\\=12x^2-37x-30[/tex]
Thus, the complete equation will be
[tex]12x^2-37x-30 = (3x+2)(4x-15)[/tex].
2. The second equation that is given to us is,
[tex]x^2\ ?\ 169 = (x\ ?\ 13)(x\ ?\ ?)[/tex]
Now, if look closely at the equation, and substitute the '-' in the place of '?' the equation we will be in the form of an algebraic equation, therefore, the solution of the equation can be made using the algebraic expression,
[tex]a^2-b^2 = (a+b)(a-b)\\\\(x^2-13^2) = (x+13)(x-13)\\\\\(x^2-169) = (x+13)(x-13)[/tex]
Thus, the complete equation will be
[tex](x^2-169) = (x+13)(x-13)[/tex].
3. The third equation that is given to us is,
[tex]x^2\ ?\ (?x)+20 = (x\ ?\ 5)(x-?)[/tex]
As we can see in the equation, on the left side of the equation the last digit is +20, therefore, the digits on the right side of the equation should be such that their product should be +20, as 5 is already given therefore, the other term should be 4 also, the second term is positive but we need the product to be positive, therefore, the sign of the digit 5 will also be negative.
[tex]x^2\ ?\ (?x)+20 = (x\ ?\ 5)(x-?)\\\\x^2\ ?\ (?x)+20 = (x- 5)(x-4)[/tex]
Now, if we solve the right side of the equation we will get the left side of the equation,
[tex](x- 5)(x-4)\\\\= x^2 - 4x-5x +20\\\\=x^2-9x+20[/tex]
Thus, the complete equation is
[tex]x^2-9x+20=(x-5)(x-4)[/tex].
4. The fourth equation that is given to us is
[tex]x^2 + ?x + 28 = (x+7)(x+?)[/tex]
As we can see in the equation, on the left side of the equation the last digit is +28, therefore, the digits on the right side of the equation should be such that their product should be +28, as 7 is already given therefore, the other term should be 4. Also, 28 is a positive integer, and 7 is also a positive integer, therefore, the number in the last will be positive as well.
[tex]x^2 + ?x + 28 = (x+7)(x+4)[/tex]
Now, if we solve the right side of the equation we will get the left side of the equation,
[tex](x+7)(x+4)\\\\= x^2 + 4x+ 7x + 28\\\\= x^2 + 11x+28[/tex]
Thus, the complete equation is
[tex]x^2 + 11x + 28 = (x+7)(x+4)[/tex]
5. The fifth equation that is given to us is
[tex]x^2 + ?x -24=(x\ ?\ ?)(x\ ?\ ?)[/tex]
As we can see in the equation, on the left side of the equation the last digit is -24, therefore, the digits on the right side of the equation should be such that their product should be -24, Since the product is negative, therefore, either one of the digits on the right should be negative as well, but the middle term on the right is positive, therefore, the bigger number will be positive while the smaller ones will be negative.
[tex]x^2 + ?x -24=(x+8)(x-3)[/tex]
Now, solving the right side of the equation to get the complete left side of the equation we will get,
[tex](x+8)(x-3)\\\\=x^2 -3x + 8x -24\\\\=x^2 + 5x - 24[/tex]
Thus, the complete equation is
[tex]x^2 + 5x - 24=(x+8)(x-3)[/tex]
Learn more about Equation:
https://brainly.com/question/2263981
Dawson's Garage charges $55 per hour to do car repairs plus the cost of the parts.
Part A
Write an equation to model this situation using h to represent the number of hours the repairs take, p to represent the cost of the parts and, cto represent the
total cost of the repairs.
Part B
What will the cost of the repairs be if the parts cost $142 and it takes 4 hours to do the repairs?
$
Answer:
Part A
c = p + 55h
Part B
$362
Step-by-step explanation:
Dawson's Garage charges $55 per hour to do car repairs plus the cost of the parts.
Part A
h = the number of hours
p = the cost of the parts
c = the total cost of the repairs.
The equation to model this situation is written as:
c = p + $55 × h
c = p + 55h
Part B
What will the cost of the repairs be if the parts cost $142 and it takes 4 hours to do the repairs?
From the above question:
p = $142
h = 4
Since our equation =
c = p + 55h
Hence,
c = 142 + 55 × 4
c = 142 + 220
c = 362
Therefore, the cost of repairs = $362
Find the diameter of the object.
diameter: __ ft
Answer: 1.6
Step-by-step explanation: So the diameter is the length of the hall sphere so you would times the radius by two to get the diameter wich is 1.6
The percentage of students in school that attended the talent show for the years 2008 to 2013 are shown. This year, the school has a total of 400 students. How many students do you expect to attend the talent show this year? Explain how you found your answer.
PLEASE I NEED HELP ITS URGENT
Answer:
352 students
Step-by-step explanation:
Given
See attachment for table
[tex]n = 400[/tex]
Required
Attendance of students in this year's show
First, we calculate the mean of the table
[tex]Mean= \frac{\sum x}{n}[/tex]
So, we have:
[tex]Mean= \frac{85\% + 91\% + 92\% + 87\% +84\% + 89\%}{6}[/tex]
[tex]Mean= \frac{528\%}{6}[/tex]
[tex]Mean= 88\%}[/tex]
Multiply the mean by the total students
[tex]Expected = Mean * n[/tex]
[tex]Expected = 88\% * 400[/tex]
[tex]Expected = 352[/tex]
Answer:352
Step-by-step explanation:
You basically just find the mean
PLEASE HELP
WILL GIVE BRAINLIEST!!!
Answer:
5/16 pounds
Step-by-step explanation:
The problem mentions that Audrey needs to cut a 5-pound block into 16 pieces. This means that each of the 16 pieces of cheese must weigh the same, thus we have to divide 5 pounds by 16 to divide the weight equally. Thus, all you need to do is divide 5 by 16, giving you 5/16. Therefore, your answer is that each block of cheese weighs 5/16 pounds.
Answer:
0.3125 pounds
Step-by-step explanation:
Each wedge of cheese weights 0.1325 pounds
cellus
Find the volume of the following
square pyramid.
110 cm
8 cm
8 cm
V = [?] cm3
Round to the nearest tenth.
Enter
Answer:
Step-by-step explanation:
Answer:213.3
Step-by-step explanation: 8x8 =64(the base)x10 (the height) x1/3
HELP ASAP!! WILL GIVE BRAIN THING AND A THANKS!
Answer:
42
Step-by-step explanation:
that is the answer i got
What is the value of y?
Answer:
31
Step-by-step explanation:
y+y=y+31
2y-y=31
y=31°
Solve 2x – 5 = 7?
What is the answer?
Answer:
x = 6
Step-by-step explanation:
Hillary is sharing a box of candy with her friends. if there are b pieces of candy in the box being split between 3 people, which expression shows how many pieces of candy each person should get?
a. b divided by 3
b. b - 3
c. b x 3
d. b + 3
Answer:
the answer is A- B/3 or B divided by 3
Step-by-step explanation:
Which is the net for this rectangular prism?
Answer:
The one on the bottom left
Step-by-step explanation:
Have a wonderful Day
Please help with this cylinder
Answer:
x = 4
Step-by-step explanation:
Area of a parallelogram = base times height
Given area = 40
Given height = 4
Given = x + 6
Thus,
40 = 4 * (6 + x )
Step 1 distribute the 4
4 * 6 = 24
4 * x = 4x
we now have 40 = 24 + 4x
step 2 subtract 24 from each side
40 - 24 = 16
24 - 24 cancels out
now we have 16 = 4x
step 3 divide each side by 4
4x / 4 = x
16 / 4 = 4
we're left with x = 4
To check our work, we can plug in the value of x and find the area of the parallelogram then. If it equals 40 the x = 4 is true.
(x + 6) * 4
* substitute 4 for x *
(4 + 6) * 4
4 + 6 = 10
10 * 4 = 40
40 = 40
Hence x = 4
Answer:
x = 4
Step-by-step explanation:
X + 6 feet
4 feets
HELP ME PLEASE...................................
NEED HELP ASAP!! Which statement correctly uses limits to determine the end behavior of f(x)?
The statement second is correct because the end behavior is that as x = ±∞ , f(x) → 0
What is the limit?A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.
We have a function:
[tex]\rm f(x) = \frac{7x^2+x+1}{x^4+1}[/tex]
Applying limit:
[tex]\lim_{x \to \pm \infty} \rm f(x)[/tex]
[tex]\rm \lim_{x \to \pm\infty} \frac{7x^2+x+1}{x^4+1}[/tex]
Divide by x^4 on the numerator and denominator, we get:
[tex]\rm \lim_{x \to \pm\infty} \frac{7/x^4+1/x^3+1/x^4}{1+1/x^4}[/tex]
So the value of the limit will be zero whereas x tends to ±∞
Thus, the statement second is correct because the end behavior is that as x = ±∞ , f(x) → 0
Learn more about the limit here:
brainly.com/question/8533149
#SPJ2
Jacob spent 3 hours skiing and snowboarding. He skied for 1 hours 25 minutes.
How long did he spend snowboarding?
Answer:
1 hour and 35 mins
Step-by-step explanation:
please help! i’ve been stuck on this question for the longest.
Answer:
57%
Step-by-step explanation:
Answer:
I think the first one 57%
Step-by-step explanation:
hope this helps sorry if it doesn't have a good rest of your afternoon/day :) ❤
Victor works for on a farm Mon to Fri. He is paid $6250 per month (before tax). Calculate Victor's annual salary.
Compare the volumes of the rectangular prisms shown below. Which of the containers will hold more, X or Y? In your final answer, include all of your calculations.
Step-by-step explanation:
here u go ..ntgs different hope this will too helps ..stay safe
If y= x³-1 find the value of y if x= -2
Answer:
Y=19 Hope this helps!!!!
Step-by-step explanation:
Distribute - 10 (1 + 3x).
Answer:
10 + 30x
Step-by-step explanation:
Answer:
-10 - 30x
Step-by-step explanation:
-10 (1 + 3x)
(-10 · 1) + (-10 · 3x)
-10 + -30x
-10 - 30x
Does anyone know how to solve this?
Answer:
H(22) = 54 + 22 = 76
Step-by-step explanation:
...............
Answer:
chug jug
Step-by-step explanation:
with you