Find the surface area of the rectangular prism shown below.
6 in.
(15 in
12 in
Answer:
684 in^2
Step-by-step explanation:
SA = 2 ( l*w + l*h+ w*h)
SA = 2( 6*15 + 6*12+ 15*12)
= 2( 90+72+180)
= 2(342)
= 684 in^2
Change the following algebraic expressions to the statement in words: i. 3mn +7 ii. xy + (x+y)
Answer:
i) 3*m*n + 7
Then we can write the first term as:
"3 times the product between two numbers"
Where the product of two numbers is m*n
And after that we need to add 7, then the complete sentence is:
"3 times the product between two numbers, increased by 7"
ii) x*y + (x + y)
The first part, x*y, can be written as:
"the product of two numbers"
where the two numbers are the number x and the number y.
After that, we add the sum of these two numbers, then the complete sentence can be:
"the product of two numbers, plus the sum of these two numbers"
Find the volume of each shape.
Step-by-step explanation:
V=LWH L is the length, W is the width and H is the height.
12×6×3=216
2.V=Ah A is the area of the base, h is the height
18x16=288
3.V=LWH L is the length, W is the width and H is the height.
10x14x5=700
An excursion group of four is to be drawn from among 5 boys and 6 girls.
Find :
a. the number of ways of choosing the excursion group if the group :
i. Is to be made up of an equal number of boys and girls.
ii. Is to be either all-boys or all-girls.
III. Has no restriction on its composition.
b. Whatis the probability that a random choice of numbers from the group will result in 3 boys and 1 girl.
Answer:
Because you are recounting people several times. Say for example, let us number those people
{1,2,3,4} for the four girls and {1,2…7} for the boys.
One possible combination by your way is to fix one boy and girl each, say
{1,1} and then choose the remaining people. Let this combination be, for the sake of the example, {1,1,2,2,3}. This is a valid combination.
Now, when you fix another combination of a boy and a girl, say {1,2}, you could get the same combination as before because one the combinations while choosing the three remaining people would be {1,2,3}.
A correct way would be to choose girls and then choose 5− boys for 1≤≤4
So we get ∑4=1(4)(75−)=441
Answer:
We need group of 4 out of group of 5 + 6 = 11 people.
Part A
i)
2 boys and 2 girls:
5C2 * 6C2 = (5*4/2) * (6*5/2) = 150 waysii)
4 boys or 4 girls:
5C4 + 6C4 = 5 + 15 = 20 waysiii)
No restrictions:
11C4 = (11*10*9*8)/(4*3*2) = 330 waysPart B
Combination of 3 boys and 1 girl:
5C3*6C1 = (5*4/2)*6 = 60Total number of ways is 330 (found above)
Required probability:
P(3 boys and 1 girl) = 60/330 ≈ 0.1818 = 18.18%PLEASE HELP
Find the number of edges on this solid
Answer:
8
Step-by-step explanation:
count the number of solid-black lines.
PLEASE HELP
School ends in 4 days and I still have so much work to do and I understand none of it!!
Can someone please help me understand this
Answer:
Step-by-step explanation:
l = 34 cm
height = 30 cm
radius = 16 cm
surface area of cone = πr (l +r)
=3.14 *16 (34 + 16)
=50.24*50
=2512 cm^2
volume of a cone = [tex]\frac{1}{3}[/tex]πr^2h
=[tex]\frac{1}{3}[/tex]*3.14*16^2 *30
=1.0466*256*30
=8037.888
=8037.89 cm^3
Express y in terms of x in the equation =
Label the chart with the correct place value. hundredths tenths thousandths
Answer:
1020000is a hundredth tenths thousands
What is the solution to this inequality?
[tex]x \div 12 + 3 \leqslant 7[/tex]
Find the measure of angle 1
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
Answer:
∠ 1 = 128°
Step-by-step explanation:
∠6 = 7x + 3 [ vertically opposite angles ]
∠6 = 4x + 24 [ corresponding angles ]
7x + 3 = 4x + 24
7x - 4x = 24 - 3
3x = 21
x = 7
∠1 + ( 4x + 24 )= 180° [ straight line angles ]
∠1 + 4 ( 7 ) + 24 = 180° [ Substituting x = 7 ]
∠ 1 + 28 + 24 = 180°
∠ 1 = 180 - 24 - 28
∠ 1 = 128°
PLS ANSWER ILL GIVE BRAINLIEST
A t-shirt that usually costs p dollars is available at a discount. Drag and drop two expressions to show the correct price of the shirt in the spaces provided.
0.3p 0.7p 0.93p 0.97p 1.3p
the price of the t-shirt after 30% discount:
the price of the t-shirt after 70% discount:
Answer:
The price after a 30% discount would be 0.3p and the price after a 70% discount would be 0.7p.
Step-by-step explanation:
When you turn the percentages into decimals, 30% will be changed into 0.3, and when you change 70% into a decimal, it would be 0.7 (Move the decimal at the end two spaces over to the right like this: 70.% -> 7.0 -> 0.7)
Please help!
You want to buy a carpet for a room that is 15 feet wide and 18 feet long. Find the amount of carpet that you need.
Tìm tập xác định x4/4-x2/2+1
Answer:
Bạn ghi rõ hơn được không?
Nếu là (x^4)/4 - (x^2)/2 + 1 thì không có nhé
In parallelogram FGHJ if m∡ GHJ=55˚ find m∡FGH
Answer:
∠ FGH = 125°
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary, then
∠ FGH + ∠ GHJ = 180° , that is
∠ FGH + 55° = 180° ( subtract 55° from both sides )
∠ FGH = 125°
Answer: m∠FGH = 125°
Step-by-step explanation:
In a parallelogram, adjacent angles are supplementary (add up to 180°).
From the diagram, we can see that m∠GHJ and m∠FGH are adjacent.
This means that:
m∠GHJ + ∠FGH = 180° where ∠FGH is ∠x and ∠GHJ = 55°
55° + m∠x = 180° (subtract 55 from both sides)
m∠x = 125°
express 0.27272727......... in the form of p/q
Hello,
[tex]0.\overline{27}=\dfrac{27}{99} =\dfrac{9}{33} =\dfrac{3}{11}[/tex]
Which fraction converts to a repeating decimal number?
CA.
1
12
B.
718
C.
127
27
D.
E.
6
10
Reset
Answer: A.
Step-by-step explanation:
Data: Fraction that turning into a repeating decimal number=x
Only step: Divide all the fractions, 1/12, 7/8, 14/25, 17/20, 6/10
Explanation: The only way to find which fraction turns into a repeating decimal is by dividing all the fractions, this can be done in any order but for this problem, lets start with 1/12 which, when divided, turns into 0.083... which is a repeating decimal
With that being said, the answer would be A.(1/12)
I hope this helps(Mark brainliest if you'd like to)
cabe nur
- -
3,7,10,11,27-22
f 1,3,6.10.15...
Cube numbers.
a to Write down the axt
Ence
bo se quences:
4 terms in each of the
โถ
og h, 2.10.13.16.19 -
Write down the next 4 numbers in 4,7,10,13,16,19
Answer:
22, 25, 28, 31
Step-by-step explanation:
The question is mixed up. The only clear question is:
Given:
4, 7, 10, 13, 16, 19
Required
Write the next 4
Notice that the rule of the above sequence is to "add 3". So, the next 4 numbers is gotten by adding 3 to the previous number on the sequence.
The next 4 are:
[tex]19 + 3 = 22[/tex]
[tex]22 + 3 = 25[/tex]
[tex]25 +3 = 28[/tex]
[tex]28 + 3= 31[/tex]
find the difference (2m+3)-(7m-5)
Answer:
- 5m + 8
Step-by-step explanation:
Given:
(2m + 3) - (7m - 5)
If you want to find the differences between two values, it means you are to subtract
(2m + 3) - (7m - 5)
This means subtract (7m - 5) from
(2m + 3)
Step 1: Open parenthesis
(2m + 3) - (7m - 5)
= 2m + 3 - 7m + 5
Group like terms
= 2m - 7m + 3 + 5
= - 5m + 8
Or
= 8 - 5m
A system of two equations is shown.
y= 5x + 3
y = 3x - 1
A Graph the two lines.
B. What is the solution of the system?
Answer:
x=-2;y=-7
Step-by-step explanation:
y=5x+3
y=3x-1
3x-1=5x+3
-2x=4
x=-2 y=5x+3 y=5×(-2)+3 y=-7
Name the marked angle in 2 different ways.
Angle LNM and angle MNL
pls follow and mark brainliest
What is the value of this expression when m = 6? the difference of the product of 3 and m minus the quotient of m divided by 2
Answer:
15
Step-by-step explanation:
Expressing the sentence Mathematically ;
The product of 3 and m = 3m
Quotient of m divided by 2 = m/2
Hence, the expression becomes ;
3m - m/2 ; value of expression when m = 6
(3m - m/2) ; when m = 6
(3(6) - 6/2)
(18 - 3)
= 15
A simple way to describe a Coefficient?
Answer:
A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1.
Step-by-step explanation:
Hope it helps
Answer:
A number placed before and multiplying the variable in an algebraic expression (e.g. [tex]4[/tex] in [tex]4x[/tex]).
Step-by-step explanation:
Hope this is helpful.
I'll give branliest! please help!!
Answer:
Step-by-step explanation:
So we know angles A and B add up to 180 degrees.
This gives us x+2 + 2x+4
We can simplify this to 3x+6 = 180
3x = 174
x=58
Now we know value of X, we can use it to find A's angle
Since, a = x + 2
a = 60
A cylinder with a radius of 6cm and height of 15 cm has a cylindrical cut out of the
middle of it with a radius of 5 cm.
Find the volume of the cylinder that remains, rounded to the nearest whole number.
Answer:
[tex]V = 518cm^3[/tex]
Step-by-step explanation:
Given
[tex]h = 15cm[/tex]
[tex]R = 6cm[/tex]
[tex]r =5cm[/tex]
Required
The volume of the remaining cylinder
Before the cut-out, the cylinder has a volume (V) of:
[tex]V = \pi R^2h[/tex]
After the cut-out, the cylinder has a volume of:
[tex]V = \pi [R^2 -r^2]h[/tex]
So, we have:
[tex]V = 3.14* [6^2 -5^2]*15[/tex]
[tex]V = 3.14* [36 -25]*15[/tex]
[tex]V = 3.14* 11*15[/tex]
[tex]V = 518cm^3[/tex]
Is Laplace's Rule well applied in this exercise? The result would have to be -82 and not 22, what is wrong? Thanks.
Answer:
-82
Step-by-step explanation:
no it is not correct
I'll show you my answer
pls give me brainliest
NEED HELP; What is the value of x?
X/8=6/12
A. 3
B. 5
C. 4.
D. 0.5
Answer:
the answer is 4
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Nikhil invests all of his $ 350 at a rate of 3% per year simple interest.Calculate the total value of this investment after 7 years
answer:
423.5
step1.
you find the value of 3% by dividing over 100 because percentage is over 100 so 3/100
step2
multiply by $350
so 3/100×350=10.5
step3
we are told the investment is for 7years so we multiply 10.5 by 7 because 10.5 is only for 1year
10.5×7=73.5
step4
add the 73.5 to the 350 then you have your answer
Please help, how do you write 4.06 in word form and expanded form?
Answer:
four and six one hundredths
406/100
4.06 = (4 x 1) + (0/10) + (6/100)
Solve. Please hurry, I am on a timer.!! I need your help QUICK!
A. -2 1/4
B. -8 2/3
C. -9 1/4
D. 2 1/4
Answer:
-9 1/4
Hope that this help!
What are biofertilisiers
Answer:
Step-by-step explanation:
biofertilizers are fertilizers consist of micro-organisms that will help plant growth. they are different from traditional fertilizers which consist of chemicals
Answer:
Any fertilizers involving living organisms, or the products obtained from living organisms can be referred to as biofertilizer, although nowadays, the term is generally used for living organisms used for fertilizer purpose.
Step-by-step explanation:
Hope this helps