Answers
Answer:
(a) is 8 x 7 x 3 = 168
(b) is 8 x 7 = 56
(b2) is weird I don't know what it's asking
Answer:
FOR LETTER A
Volume of prism (expression) = Length x Width/Breadth x Height
Volume of prism (expression) = 8 units x 7 units x 3 units = 168 cubic units
FOR LETTER B
Area of the shaded base = 8 x 7 = 56 square units
Volume of prism = Area of the shaded base x Height
Volume of prism = 56 square units x 3 units = 168 cubic units
Step-by-step explanation:
To find the volume of rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.
Volume of rectangular prism = length × width × height
To get the area of the shaded base, when the base is in rectangular shape:
Definition: Area of rectangle is the region occupied by a rectangle within it's four sides or boundaries.
The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides. Hence, we can say, the region enclosed by the perimeter of the rectangle is its area. But in the case of a square, since all the sides are equal, therefore, the area of the square will be equal to the square of side-length.
Area of rectangle = Length × Breadth
A = l × b
Related Questions
Can someone help with this
Answers
85
explanation:
too long
The first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(–3, –1)
(–3, 5)
(–3, 5) and (–1, 9)
(1, 13) and (3, 20)
Answers
Answer:
(–3, 5) and (–1, 9)
Step-by-step explanation:
if you just plug the numbers in they fit :)
The solution of the system of equations is (–3, 5) and (–1, 9).
What is the System of the equation?Inconsistent System
For a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.
The solution of a system of equations is the point where the line of the equations intersects, therefore, the solution of the system of equations is (–3, 5) and (–1, 9).
Learn more about the System of equations:
https://brainly.com/question/12895249
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Sierra's ice cream shop made $45 before she had to close early when the power went out. She realized she lost 3 of
a dollar each hour when the shop was closed. The expression that models this situation is 45-n. What was Sierra's
profit if the shop was closed for 8 hours?
$24
$36 $41
$49 hurry I'm being timed!
Answers
Answer:
We know that the expression that models the situation is:
45 - n
Where n is the amount that she lost.
We know that she lost $3 for each hour closed.
And the shop was 8 hours closed, so the total loss is:
8*$3 = $24
The profit is the difference between the revenue (we know that it is $45) and the loss (we know that it is $24)
Then the profit is:
$45 - $24 = $21
A palindrome is a number that is identical when written both forwards and backwards. For example, 181, 25852, and 3333 are all palindromes. How many palindromes between 100 and 1000 are divisible by 3?
Answers
Answer:
30 palindromes!!!!!!!
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
zero cannot be the first digit of the palindromes. There are nine other numbers that can be.
9 * 10
The last digit also cannot be zero so it has the same value as the first digit. (Otherwise the number cannot be palindromic) So you are really looking at only 90 numbers total.
That's not the question, but it does put a limit on how many there can be.
Let's find the first number (closest to 100 ) that is palindromic and divisible by 3.
I think 111 is the smallest.
Now what about the largest? That would be 999.
So what is the next number after 111? Wouldn't that be 141?
The difference between 111 and 141 is 30
It turns out that any first digit that is divisible by 3, has 4 palindromic numbers because for them, the second digit is a 0. So for 3 for example, you get
303
333
363
393
All the other numbers only have 3 entries for example, 1 gives you
111
141
171
So making a table we get
First digit Number of palindromes divisible by 3
1 3
2 3
3 4
4 3
5 3
6 4
7 3
8 3
9 4
18 12
Total
A rectangle's width is one-fifth it's length, and it's perimeter is 72m.Find the dimensions of the rectangle
Answers
W = x
L = 5x
x + 5x = 72
6x = 72
x = 12 feet = W
5(12) = 60 feet = L
12 + 60 = 72 feet.
: Cleomenius
Tip: brainliest plz:))
what is the mid point of AB?
Answers
Answer:
G
Step-by-step explanation:
I did this on edge and it was right
Answer:
O Point G
Step-by-step explanation:
A = -6
B = 8
To find the midpoint, calculate how much would it take for both points to have a value of zero.
-6 + ? = 0
-6 + 6 = 0
8 - ? = 0
8 - 8 = 0
so the midpoint will be about 7 (between 6 & 8)
Now which of the points best shows 7 units apart of AB
Answer: point G
Find the sum -2/3+0 Pls answer right
Answers
Answer:
[tex] - 1[/tex]
-1 is the answer in your questions
Answer:
[tex] - \frac{2}{3} [/tex]
Step-by-step explanation:
[tex] \frac{ - 2}{3} + 0[/tex]
when adding or subtracting by 0, the value does not change.
[tex] = \frac{ - 2}{3} = - \frac{2}{3} [/tex]
Someone please answer this
Answers
Answer:
(x - 1)(5x - 6)
Step-by-step explanation:
Given
5x² - 11x + 6
Consider the factors of the product of the coefficient of the x² term and the constant term (ac) which sum to give the coefficient of the x- term (b)
ac = 5 × 6 = 30 and b = - 11
The factors are - 5 and - 6
Use these factors to split the x- term
5x² - 5x - 6x + 6 ( factor the first/second and third/fourth terms )
= 5x(x - 1) - 6(x - 1) ← factor out (x - 1) from each term
= (x - 1)(5x - 6)
Given that g(x)=x2, find each of the following.
a) g(3)
b) g(-1)
c) g( - x)
d) g(2y)
e) g(1 + h)
a) g(3) = (Simplify your answer.)
Answers
Step-by-step explanation:
a)
g(3) = 9
b)
g(-1) = 1
c)
g(-x) = x²
d)
g(2y) = 4y²
e)
g(1 + h) = 1 + h² + 2h
using the identity (a +b)² = a² + b² + 2ab
Answer:
a) g(3) = 9
b) g(-1) = 1
c) g(-x) = x²
d) g(2y) = 4y²
e) g(1+h) = 1 + 2h + h²
Step-by-step explanation:
a) when x = 3 ,
g(3) = 3² = 9
b) when x = -1 ,
g(-1) = (-1)² = 1
c) when x = -x ,
g( -x ) = (-x)² = x²
d) when x= 2y ,
g( 2y ) = (2y)² = 4y²
e) when x = 1 + h ,
g( 1 + h ) = ( 1 + h )² = 1 + 2h + h²
Find the missing side of the triangle using the Pythagorean Theorem.
Answers
Answer: a^2 + b^2 = c^2
c^2 - a^2 = b^2 \/---
b^2
Step-by-step explanation: once completed you have ur answer
Answer:
[tex]\boxed {\boxed {\sf 18 \ yards}}[/tex]
Step-by-step explanation:
This triangle is a right triangle. We know this because of the small square in the corner representing a 90 degree angle. Therefore, we can use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
In this formula a and b are the legs of the triangle and c is the hypotenuse.
In this triangle, the legs are 24 and a, because these sides form the right angle. 30 is the hypotenuse because it is opposite the right angle.
a=a b= 24 c= 30Substitute the values into the formula.
[tex]a^2+(24)^2=(30)^2[/tex]
Solve the exponents.
(24)²= 24*24=576 (30)^2= 30*30=900[tex]a^2+ 576=900[/tex]
We are solving for a, the missing side of the triangle. We must isolate the variable. 576 is being added. The inverse of addition is subtraction, Subtract 576 from both sides of the equation.
[tex]a^2+576-576=900-576\\a^2=900-576\\a^2=324[/tex]
a is being squared. The inverse of a square is a square root. Take the square root of both sides.
[tex]\sqrt{a^2}=\sqrt{324}\\a=\sqrt{324}\\a=18[/tex]
The missing side of the triangle is 18 yards.
Anna lives 2.5 miles to the east of her school, and Ben lives 2 miles to the west of the same school.
Anna draws a map with a number line connecting her house to Ben’s house. On the number line, the school is at 0 and her house is at the point +2.5. On the map, Ben’s house is at the point
Answers
Answer:
Step-by-step explanation:
3===o===2=======1========0========-1=======x-2
I know this is backwards, but the question makes the choice of which direction is plus. o represents where anna lives.
Ben should be right at -2 where the x is.
can someone help me with this and give an explanation on how to do it? So i can know with the others.
Answers
Answer:
Values of y in order: 0, 2, 4, 6
Step-by-step explanation:
Hi there!
In the table, the first value of x is -2. To find the value of y for this row of the table, we can use the given equation [tex]y=2x+4[/tex].
[tex]y=2x+4[/tex]
Plug in -2 as the value of x
[tex]y=2(-2)+4\\y=-4+4\\y=0[/tex]
Therefore, y is 0 when x is -2. (In the table, in the row where x is -2, y would be 0.)
We repeat this process for the rest of the values in the table.
When x=-1:
[tex]y=2(-1)+4\\y=-2+4\\y=2[/tex]
When x=0:
[tex]y=2(0)+4\\y=0+4\\y=4[/tex]
When x=1:
[tex]y=2(1)+4\\y=2+4\\y=6[/tex]
I hope this helps!
Yu Xing paid 3.60 dollar for 2 pens after a 10 percent discount .What was the usual price of 1 pen.
Answers
Answer:
2 $
Step-by-step explanation:
let the original price be x
price after 10% discount = 3.60$
[tex]x - \frac{10}{100} \times x = 3.60 [/tex]
[tex] \frac{100x - 10x}{100} = 3.60 \\ \frac{90x}{100} = 3.60 \\ 9x = 36 \\ x = 4[/tex]
The original price of 2 pens is 4$
original price of one pen = 4/ 2
= 2 $
6 foxes catch 6 hens in 6 minutes, how many foxes will it take to catch 60 hens in 60 min. AND NO ITS NOT 60 I ALREADY TRIED. WHOEVER ANSWERS GETS 50 POINTS!
Answers
Answer:
It is 6 foxes
Step-by-step explanation:
Because if 6 foxes can catch 6 hens in 6 minuets then 6 foxs can can 60 hens in 60 minutes because you just multiply 6 minutes by 10 and get 60 minutes which is also the same for hens.
Answer:
6 foxes
Step-by-step explanation:
For 6 foxes to catch 60 hens (10 x 6 or 10 times more than 6 hens) they will need 10 times more time than they had to catch 6 hens, or 10 x 6 = 60 minutes.
After the increase the price of a rail season ticket from brighton to london was 2828.80 work out the price before this increase
Answers
Answer:
2720
Step-by-step explanation:
Given that,
Price of the ticket = 2828.80
To find,
The price before the increase = ?
Procedure:
Let the price before the increase be x
so,
x(100% + 4%) = 2828.80
⇒ 1.04x = 2828.80
⇒ x = 2828.80 ÷ 1.04
∵ x = 2720
Thus, the price before the increase was 2720.
Sales tax is 6% using only one term write an expression to represent the discounted price of the phone including tax.
Answers
The price of phone is stated, taking the price of the phone as p and the discount on sale as 20%
Answer:
0.848p
Step-by-step explanation:
Price of phone = p
Sales tax = 6%
Discount on sale = 20%
With a 20% discount, the discounted price of the phone will be :
100%p - 20%p = 80%p = 0.8p
The sales tax will increase the price thus ;
0.8p + 6% of 0.8p
0.8p + 0.06 * 0.8p
0.8p + 0.048p
The cost of the phone including tax becomes ; (0.8p + 0.048p) = 0.848p
the width of a newspaper is 13 3/4 inches. The left margin is 7/16 inch and the right margin is 1/2 inch. what is the width of the written page inside the margin?
Answers
Answer:
biggafigure a
mnn
Step-by-step explanation:
Helpppppppppppppppppp
Answers
Answer:
x = -7
Step-by-step explanation:
We have
PQ = (x+14)
QR = (x+12)
PR = 12
We can see that, PQ+QR = PR
So,
x+14+x+12 = 12
Solving for x.
2x = -14
x = -7
So, the value of x is equal to -7.
Please someone help I can not get past this question
Answers
Answer:
65.76 m
Step-by-step explanation:
This figure is split into three shapes: a right triangle, a rectangle, and a semi- circle. To find the area of the figure you can start by figuring out the area of each of the three shapes mentioned above, then adding their areas together. I'll write the numbers without the unit to make it simpler since it won't cancel out or anything.
Starting with the triangle:
1/2(b*h)=a
We see the base is 3, and the height is 5 (because the two opposite sides of a rectangle will be congruent) so if you plug the numbers into the formula you get:
1/2*15=a or 15/2=a
a=7.5
Then we calculate the area of the rectangle:
l*w=a
5*6=a
30=a
Then the area of the semi circle:
First we find the area as if it were a full circle by the equation using 3.14 as pi and 3 as r (since the denominator is 6 and half of 6 is 3):
3.14*r^2=a
3.14*3^2=a
3.14*9=a
28.26=a
Finally, we add all three areas from above:
7.5+30 + 28.26 = 65.76
Factor 6x ^ 2 - 3x - 45; 3(2x - 5) * (x + 3); 3(2x - 3) * (x - 5); 3(2x + 5) * (x - 3); 3(2x + 3) * (x - 5)
Answers
Answer:
[tex]3(2x+5)(x-3)[/tex]
Step-by-step explanation:
The given equation is:
[tex]6x^{2}-3x-45[/tex]
It can be solved by using middle term splitting.
So,
[tex]6x^{2}-3x-45=6x^2+15x-18x-45\\\\=3(2x+5)(x-3)[/tex]
So, the factors of [tex]6x^{2}-3x-45[/tex] are [tex]3(2x+5)(x-3)[/tex]
40 pointsanad brainliest for this, it's really important!
Answers
Step-by-step explanation:
C = 6 n + 4,500
the set up cost is represented by the initial value of the function, which is $4,500.
the ongoing cost of materials and labor is represented by the rate of change of the function, which is $6 per bottle.
2(5x-3)=24
find what x is?
Answers
Answer:
x = 3
Step-by-step explanation:
2(5x - 3) = 24
Divide both sides by 2.
5x - 3 = 12
Add 3 to both sides.
5x = 15
Divide both sides by 5.
x = 3
the vector a,b and c are given as a=2i+3j-4k. b =5i+3j+7k. c =6i+2j-k
find 1)a-2b+4c
2)5a+2b-c
Answers
charlie drove 208 miles in 4 hours at a constant speed He continues at that speed give the equation that shows the relationships between driving hours and mies driven
Answers
Answer:
M = 52* H
"miles equals 52 times hours driven"
Step-by-step explanation:
Helpppp me plzzzzzzxzz
Answers
According to class 8 please solve
Answers
Answer:
i) 2 + 2x
ii) 154 = 2(2 + 2x + x)
iii) Length = 52m
Breadth = 25m
Step-by-step explanation:
Perimeter of swimming pool = 154m
Breadth = x
Length = 2 + 2x
Formula for finding perimeter = P = 2(l + b)
Therefore,
154 = 2 ( 2 + 2x + x)
154 = 4 + 4x + 2x
154 = 4 + 6x
154 - 4 = 6x
150 = 6x
150/6 = x
25 = x
With the value of x,
we can fInd the length and the breadth
Breadth = x
= 25
Length = 2 + 2x
= 2 + 2(25)
= 2 + 50
= 52
HELP ASAP 10 POINTS AND BRAINLIST
Answers
Step-by-step explanation:
hope it helps you...........
Tele-Mart instituted a 5-for-1 split in April. After the split, Ashlee owned 1,860 shares. How many shares had she owned before the split?
Answers
Answer:
372 shares
Step-by-step explanation:
Let
x = shares owned before the split
Share after split : share before split = 5 : 1
Share after split : share before split = 1,860 : x
Equate both ratios
5 : 1 = 1,860 : x
5/1 = 1,860/x
Cross product
5 * x = 1 * 1,860
5x = 1,860
x = 1,860/5
x = 372
x = shares owned before the split = 372 shares
If the battery costs $75 and has a life of 300 charge-discharge cycles, what is the cost of the energy in dollars per kilowatt hour
Answers
Answer:
I'm sorry but no idea
Step-by-step explanation:
No idea
You want to change your cell phone service. The new company charges $40 per
month for cell phone use. There is a one-time start-up fee of $25. Which equation
shows the total cost of your cell phone service over time?
Answers
Answer:
y=40x+25
plz mark brainliest
