Answer:
56.6in³
Step-by-step explanation:
volume of a pyramid = 1/3 x Area of base x height
1/3 x 11.1 x 15.3 = 56.61 in³
56.6 in³ to the nearest tenth
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
the hundredth term is 1 which is less than 5. O is added to 6
The price of a technology stock has risen to $9.66 today. Yesterday's price was $9.59. Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer:
% increase = 100 x [(new price) - (original price)] / (original price)] = 100 (9.67 - 9.56) / 9.56
% increase ≅ 1.2% (to the nearest tenth)
solve it : -
[tex] \sqrt{18 \times 2} [/tex]
________
Answer:
6
Step-by-step explanation:
sqrt(36)
sqrt(6^2)
6
Answer:
6
Step-by-step explanation:
18 * 2 = 64
√64 = 6
In a game for 24 groups, the average number of children was 16. When one more group of children was formed to join in the game, the average number of children became 18. The number of boys to girls who had just joined in the game was in the ratio 5:6. If there were 220 boys at first, how many more boys than girls were in the end?
Answer:
50 boys
Step-by-step explanation:
The number of groups = 24
The average number of children = 16
The new average number of children when one group is added = 18
The ratio of boys to girls in the group that just joined = 5:6
The initial number of boys = 220
Let the initial number of children
The initial total number of children = 24 × 16 = 384
The initial number of girls = 384 - 220 = 164
The final number of children = 25 × 18 = 450
The number of children in the group that joined in the game = 450 - 384 = 66
The ratio of boys to girls in the group = 5:6
Therefore, we get;
The number of boys = 66 × 5/11 = 30
The number of girls = 66 - 30 = 36
The number of boys at the end = 220 + 30 = 250
The number of girls at the end = 164 + 36 = 200
The number of more boys than girls at the end = 250 - 200 = 50
The number of more boys than girls at the end = 50 boys
If p + q= 12 and pq=22, then find p2+q2.
p2 = p square
q2 = q square
(Don't get confused)
p+q = 12
Squaring both the sides
(p+q)^2 = 12^2
p2 + q2 + 2pq = 144
p2 + q2 + 2x 22 = 144
p2 + q2 = 144 - 44
p2 + q2 = 100
Answer:
q2=
Step-by-step explanation:
The formula for p^2+q^2p
2
+q
2
is
p^2+q^2 = (p+q)^2 -2pqp
2
+q
2
=(p+q)
2
−2pq
One evening the Scotts went to the Chalet Restaurant for
dinner. The bill was $67.65. Mr. Scott paid with four $20 bills.
How much change should he have received?
Given:
Total bill = $67.65
Mr. Scott paid with four $20 bills.
To find:
The amount of change he have received.
Solution:
It is given that, Mr. Scott paid with four $20 bills. So, the total amount paid by him is:
[tex]\$20\times 4=\$80[/tex]
Total bill = $67.65
Now,
Amount of change = Total amount paid - Total bill
= $80 - $67.65
= $12.35
Therefore, he should have received $12.35.
Peter was thinking of a number. Peter halves the number and gets an answer of 25.5. Form an
equation with x from the information.
Answer:
0.5x = 25.5
Step-by-step explanation:
Peter was thinking of a number x, then he halves it's
Prove that A - B = A-(A n B) using a Venn diagram
Step-by-step explanation:
my answer is an image above
A biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts one hundred bacteria into what he has determined to be a favorable growth medium. Six hours later, he measures 450 bacteria. Assuming exponential growth, what is the growth constant "k" for the bacteria? (Round k to two decimal places.) find the
number of bacteria after 13 hours
Answer:
k=.25068
Step-by-step explanation:
450 = 100 [tex]e^{6k}[/tex]
4.5 = [tex]e^{6k}[/tex]
ln(4.5) = 6k
k= ln(4.5)/6
k=.25068
The number of bacteria after 13 hours will be 2579.
What is an exponential expression?Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent," it can be represented as 2x2x2x2=25 for the number 32. This phrase should be understood as "two to the fifth power."
Given that a biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts one hundred bacteria into what he has determined to be a favourable growth medium. Six hours later, he measures 450 bacteria.
The bacteria after 13 hours will be calculated as,
[tex]N=100(e)^{13\times 0.25)[/tex]
[tex]N = 100\times e^{3.25}[/tex]
N = 2579.
Therefore, the number of bacteria after 13 hours will be 2579.
To know more about an exponential expression follow
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He surface area of a piece of paper is 692 cm2. Use the fact that 10 mm = 1 cm to convert this area to mm2. Give your answer as a number. Do not type the units in the space below.
Answer:
Surface area = 6.92 cm²
Step-by-step explanation:
Given the following data;
Surface area = 692 cm²
To convert the area in cm² to mm²;
Conversion:
10 mm to cm = 10/10 = 1 cm
1 mm² to cm² = 1/100 = 0.01 cm²
692 mm² to cm² = 692 * 0.01 = 6.92 cm²
Therefore;
692 mm² = 6.92 cm²
In conclusion, the surface area of the piece of paper is 6.92 square centimeters.
Problem 3 : Using In the pattern in the image below , how many dots would be in Step 4
Answer: 13 dots
Step-by-step explanation:
You're basically adding 4 each time around, so number 1 is 1 dot, then number 2 is 5 dots because you added 4, number 3 is 9 dots because you added 4, etc.
Answer:
T4 = 13
Step-by-step explanation:
Using arithmetic progression
Tn = a + (n - 1)d
Where a - first term
n - n^th term
d - common difference
rewrite each pair of fractions using the least common denominator 5/6 2/5
Answer:
25/30 and 12/30
Step-by-step explanation:
6 and 5 have a least common multiple of 30
6*5 = 30
5/6 * 5/5 = 25/30
2/5 *6/6 = 12/30
Answer:
10/12 4/10
Step-by-step explanation:
the decimal expansion of the number 2 1 / 2
Answer:
[tex]{ \tt{ = 2 \frac{1}{2} }} \\ \\ = \frac{5}{2} \\ \\ { \tt{ = 2.5}}[/tex]
A = (1, 3, 5, 7, 9)
B = {2, 4, 6, 8, 10)
C = (1, 5, 6, 7, 9)
A U B=
Answer: Choice C) integers from 1 to 10 inclusive
==============================================================
Explanation:
The "U" means "set union". We form a larger set that contains any number that's in set A, set B, or both.
So,
A U B = {stuff from set A, stuff from set B}
A U B = {1,3,5,7,9, 2,4,6,8,10}
A U B = {1,2,3,4,5,6,7,8,9,10}
A U B = set of integers from 1 and 10 inclusive
That makes choice C the final answer.
Choice B is very close to it, but that verbally describes the set {2,3,4,5,6,7,8,9} which leaves out 1 and 10. The "inclusive" makes sure to involve the endpoints 1 and 10, as well as everything in between.
Determine whether the given triangles are congruent
Answer:
Yes they are congruent and it is explained below
Step-by-step explanation:
There are 5 postulates when testing for congruency and they are;
SSS, SAS, ASA, AAS and HL.
S represents side
A represents angle
H represents hypotenuse
L represents leg
Now, in this our question, we can see that the 3 angles and the three sides of both triangles are equal to each other.
Thus, we can make use of SSS postulate whereby we say the 3 sides of the first triangle are equal to the 3 sides of the second triangle.
Thus, they are congruent.
Help pls I give brainlest
Answer:
y = 1/2x - 3
Step-by-step explanation:
The line intercepts with the y-axis at -3 and its pattern is going right two and up one.
7
6. Which expressions are equivalent to (7 -x)+ 4?
as
he
s
A 7x + 4
B. 4 + (7.)
C. (x + 4
D. 4 (7-X)
Option c is correct formula
The product of a number x and four decreased
by twelve.
Which of the following is an expression for the
statement above
a/4x+12
b/4(x+12)
c/4(x-12)
d/4x-12
Step-by-step explanation:
a. increased b. discreased c. increased d. decreased
A board 180 cm long is cut into two pieces such that 3 times the length of the larger piece is 85 cm longer than 4 times the length of the smaller piece. How long are the two pieces of board?
Answer:
smaller piece is 65cm
larger piece is 115cm
Step-by-step explanation:
let 's' = smaller piece
let '180-s' = larger piece
3(180-s) = 85 + 4s
540 - 3s = 85 + 4s
540 = 85 + 7s
455 = 7s
s = 455/7 which is 65cm
larger piece = 180-65 or 115cm
Please someone help me with this!
The sum of two numbers and their difference is 30.
Select the correct answer.
Tommy has a rectangular-shaped swimming pool. He wants to know the volume of water in the pool, but he is not sure what the width of the
pool is. He knows the relationship between the width and the length and height of the pool. He used this relationship to come up with the
following equation to find the volume of the pool when the width is w meters.
A. Z
B. X
C. Y
D. W
Answer:
it is x
Step-by-step explanation:
The volume of a shape is the amount of space in it.
The graph that satisfies the above condition is the (b) graph X:
The volume of a rectangular-shaped swimming pool is
[tex]\mathbf{V=l \times w \times h}[/tex]
Where:
[tex]\mathbf{l,w,h \ge 0}[/tex] ---all the dimensions are greater than 0
[tex]\mathbf{l,w,h \ge 0}[/tex] means that:
The graph of V must have three x interceptsThe graph of V must not pass through the origin (0,0)From the given graphs, the graph that satisfies the above condition is the graph X:
This is so because it crosses the x-axis three times, and it does not pass through the origin
Read more about volumes at:
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You are playing a game with your friend to see who can make the most baskets from the free-throw line. Each of you has 5 shots at the basket. How many ways are there for you to make exactly 4 shots?
A) 4
B) 5
C) 10
D) 6
Answer:
B) 5
Step-by-step explanation:
The given parameters are;
The number of shots at the basket = 5 shots
The number of ways to make exactly 4 shots is given by combination as follows;
The number of ways to shoot exactly 4 shots = ₅C₄ = 5!/(4!×(5 - 4)!) = 5
The number of ways to shoot exactly 4 shots = 5 ways
Will give BRAINLIEST to correct answer.
Triangles ABC and DEF are similar triangles. Solve. Round to the nearest tenth.
Find the height of triangle DEF.
Answer:
3.3 m
Step-by-step explanation:
the height = 2/3 × 5 = 10/3 = 3.3 m
Please delete my answer. I made a mistake
Find the missing value
Answer:
? = 24/23 or 1 1/23
Step-by-step explanation:
In order to do this you have to:
1) Isolate the variable
- you do this by dividing each side by factors that don't contain the variable
- you divide because it is the opposite of multiplication
Hope this helps!
NEED HELLPPPPP !!!!
Answer:
x = 14
Step-by-step explanation:
Triagle GIA and Triangle GNT are congruent.
28 days = ? Weeks 339 days = ? Months 14 months = ? Days 8 weeks = ? Days 90 days = ? Months 3 minutes = ? Seconds 3days = ? Hours 48 days = ? Days 5 minutes = ? Seconds
Answer:
28 days = 4 weeks
339 days = 11 month
14 months = 420 days
8 weeks = 56 days
90 days = 3 months
3 minutes = 90 seconds
3 days = 72 hours
48 days = 48 days
5 minutes = 300 seconds
A triangle with the coordinates X(3, 2), Y(5, -1), and Z(-2,3) is reflected across both the x- and y-axes. The coordinates after both reflections are X'( ), Y'( ), and Z'( ).
Answer:
X'(-3, -2), Y'(-5, 1), and Z'(2, -3)
if( 1 ,2 )and( 3 - 2)
are the two end point of a diameter of circle find the coordinates of the centre
Answer:
(2,0)
x-value: [1+3]/2 = 4/2 = 2
y-value: [2+-2]/2 = 0/2 = 0
Step-by-step explanation:
Identify the least common multiple of:
(x + 1), (x - 1), & (x^2 - 1)
Given:
The expressions are [tex](x+1),\ (x-1)[/tex] and [tex](x^2-1)[/tex].
To find:
The least common multiple of given expressions.
Solution:
The expressions are [tex](x+1),\ (x-1)[/tex] and [tex](x^2-1)[/tex]. The factor forms of these expressions are:
[tex](x+1)=1\times (x+1)[/tex]
[tex](x-1)=1\times (x-1)[/tex]
[tex](x^2-1)=(x-1)(x+1)[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
The least common multiple is the product of all distinct factors with its highest degree. So,
[tex]L.C.M.=1\times (x+1)\times (x-1)[/tex]
[tex]L.C.M.=(x+1)(x-1)[/tex]
[tex]L.C.M.=x^2-1^2[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
[tex]L.C.M.=x^2-1[/tex]
Therefore, the least common multiple of given expressions is [tex]x^2-1[/tex].
Help
Will
Give
Brainlist
:)))
B : 7.9......................
Answer:
7.9
Step-by-step explanation:
15 + 12 + 5 + 9 + 7 + 2 + 5
55
55 ÷ 7
[tex]\frac{55}{7}= 7\frac{6}{7}=7.85714285714[/tex]
7.85714285714 rounds to 7.9
Which table of ordered pairs represents a proportional relationship?
х
-2
4
-6
y
4
16
36
х
-4
-6
-8
y
-8
-12
-18
o
х
-3
-5
-7
y
5
3
1
O
х
-3
-6
-9
y
12
24
36
Answer:
x=-3×-5×-7
-3×-5=15
15×-7=-105
=-105