Answer:
5
Step-by-step explanation:
We want the average arrests to be 4. It can be done by calculating the average between the average arrests and arrests during the 5th week, so we get:
Avg(1,2,3,4,5) = (Avg(1,2,3,4) + A(5)) / 2
Where Avg(x) is the average of arrests in given weeks, and A(x) is the number of arrests in a given week.
Solving for A(5) => A(5) = 2*Avg(1,2,3,4,5) - Avg(1,2,3,4) = 2 * 4 - 3 = 8-3 = 5
How many ways are there to select 3 candidates from 8 equally qualified recent graduates for
openings in an accounting firm?
Step-by-step explanation:
How many ways are there to select 3 candidates from 8 equally qualified recent graduates for
openings in an accounting firm?
The area of a circle is equal to 1 dm2. Find the radius of the circle.
Answer:
2000
Step-by-step explanation:
1 dm =1000
2dm =?
2dm x 1000
1dm
2000
guys help plzz i need your help
Answer:
it correct because i took this before
A candy store has 6 boxes of chocolates. Each box has 500 pieces How many pieces are there altogether in the 6 boxes?
Is (2,1) a solution to this system of equations??
8x+7y=11
x+y=3
a) Yes
b) No
Answer:
No
Step-by-step explanation:
In the ordered pair (2,1), 2 is the x-value and 1 is the y-value.
In the first equation, replace x with 2 and y with 1.
8x+7y
= 11
8(2)+7(1)
≟ 11
16+7
≟ 11
23
≟ 11
No, 23≠11.
Plugging (2,1) into the first equation did not result in a true statement. So, (2,1) is not a solution to the system of equations.
Find the whole number equal to the fraction below. Enter your answer in the
space provided.
Answer:
[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
6/2 ÷ 2/2 = 3/1
3 ÷ 1 = 3
Answer: 3
#CarryOnLearning
A sequence of patterns is made from circular tiles and square tiles. Here are the first three patterns in the sequence:
a) How many square tiles are needed to make Pattern Number 7? [2 MARKS]
b) How many circular tiles are needed to make Pattern Number 20? [2 MARKS]
c) When the pattern number is odd, the total number of tiles (SQUARE & CIRCULAR) needed to make the pattern: A - will always be even | B - will always be odd | C - could be even or odd | [2 MARKS]
!! PLEASE ANSWER ALL OF THE QUESTIONS !!
Answer:
a) 49
b) 84
c) (B) -- always odd
Step-by-step explanation:
We observe that the number of square tiles is the square of the pattern number. The number of circular tiles is 1 more than the pattern number on each side of the square.
square tiles = n²
circular tiles = 4(n +1)
__
a)7² = 49 square tiles are needed for pattern number 7.
__
b)4(20+1) = 84 circular tiles are needed for pattern number 20.
__
c)The parity of the number of square tiles matches the parity of the pattern number. (The square of a number has the same parity as the number.) Since 4 is a factor in the number of circular tiles, its parity is always even. The parity of the total number of tiles will match the parity of the pattern number.
When the pattern number is odd, the total number of tiles will always be odd. (B)
What do you know about these two lines?
y = 6x - 1
y = -6x - 4
A: The lines are parallel because their slopes are the same.
B: The lines are perpendicular because the slopes are opposites reciprocals
C: The lines are neither parallel nor perpendicular, they just intersect.
Explanation:
Refer to the y = mx+b form
m = slopeb = y interceptThe slopes are the only thing we focus on. For the equations y = 6x-1 and y = -6x-4, the slopes are 6 and -6 in that order.
The slopes are not equal, so the lines aren't parallel.
The slopes aren't opposite reciprocals of one another, so they aren't perpendicular either. An example of an opposite reciprocal pairing would be 6 and -1/6. Any pair of nonzero opposite reciprocal slopes always multiply to -1.
Therefore, the two lines are neither parallel nor perpendicular, they just intersect.
Wiebe Trucking. Inc. is planning a new warehouse to serve the west. Denver, Santa Fe, and Salt Lake City are under consideration. For each location, annual fixed costs (rent, equipment. and Insurance) and average variable costs per shipment (labor, transportation and utilities) are listed in the following table. Sales projection is range from 550,000 to 600,000 shipments per year.
a. Plot the total cost curves for all the locations on a single graph.
b. Which city provides the lowest overall costs?
The total cost curve shows the cost of total shipment from the different
cities.
a. Please find attached the graph of the total cost to quantity of shipment created with MS Excel.b. The city that provides the lowest overall cost is; Salt Lake City.Reasons:
The given parameters are;
The number of shipment per = From 550,000 to 600,000 per year
The given table is presented as follows;
[tex]\begin{tabular}{|l|c|c|c|}Location&Annual Fixed Costs&Variable Cost \\Denver&\$5,000,000&\$4.65 \\Santa Fe&\$4,200,000&\$6.25\\Salt Lake City&\$3,500,000&\$7.25\end{array}\right][/tex]
a. Required:
The plot total cost curve for the locations on a single graph.
Solution:
Please find attached the graph of the total cost curves created with MS Excelb. Required:
The city that provides the lowest overall cost.
Solution:
The two cities with the lowest overall costs are Denver and Salt Lake City.
From the total cost curve, the area under the curves are;Area under the curve for Denver;
(7557500 + 7790000) ÷ 2 × 50,000 = 383687500000
Area under the curve for Salt Lake City
(7487500 + 7850000) ÷ 2 × 50,000 = 383437500000
Therefore;
Salt Lake City provides the lowest overall costs.Learn more about total cost curves here:
https://brainly.com/question/4888738
Look back at the plans these students used to solve the word problem below.
Who found a correct solution?
- STEP 4: LOOK BACK
According to soap box derby rules, a racer must weigh 250
pounds or less. The Math Club's car weighed in at 266
pounds on the day of the derby. How many pounds did the
Math Club need to remove from their soap box racer?
Dana added the weight limit to the Hector subtracted the weight limit
racer's weight. Since
from the racer's weight. Since
250 +266 = 516, the Math Club 266 - 250 = 16, the Math Club
needed to remove 516 pounds from needed to remove 16 pounds
the racer
from the racer
O A. Dana
B. Hector
Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
27) 115=5(5a-2)
115= 25a-10
125=25a
a=5
28) -72=-x-6(x+5)
-72=-7x-30
-42=-7x
x=6
i did two of them. now i gtg so won't do the rest
Determine the period of the function g(x) = (cos ;)
Answer:
6[tex]\pi[/tex]
Step-by-step explanation:
The period of a sinusoidal function in the form a * cos (b (x + h)) + m is [tex]\frac{2\pi }{|b|}[/tex]. Therefore, we can see that "b" in g(x) is 1/3 and 1/3 substituted into [tex]\frac{2\pi }{|b|}[/tex] is 2[tex]\pi[/tex]/1/3 which is 6[tex]\pi[/tex].
help me plzzzzzzzzzzzz
Answer:
9) 21
10) 70
11) 34
12) 31
13) 50
14) 31
15) 137
16) 101
Step-by-step explanation:
9)
20+40=60
60 + b =180 ( sum of the interior angles on a triangle is 180 )
b = 180 - 60
b = 120
39 + c + ? = 180 ( sum of the interior angles on a triangle is 180 ) c =120 ( vertically opposite angles are equal )
39 + 120 + ? = 180
159 + ? = 180
? = 180 - 159
? = 21
________________________________________________________________________________________
10)
60 + 65 + b = 180 ( sum of the interior angles on a triangle is 180 )
125 + b = 180
b = 180 - 125
b = 55
50 + b + c = 180 ( sum of the angels on a straight line is 180 )
50 + 55 + c = 180
105 + c = 180
c = 180 - 105
c = 75
35 + c + ? = 180
35 + 75 + ? = 180
110 + ? = 180
? = 180 - 110
? = 70
________________________________________________________________________________________
11)
84 + 36 + b = 180 ( sum of the interior angles on a triangle is 180 )
120 + b = 180
b = 180 - 120
b = 60
86 + b + ? = 180 ( sum of the interior angles on a triangle is 180 )
86 + 60 + ? = 180
146 + ? = 180
? = 180 - 146
? = 34
________________________________________________________________________________________
12)
35 + 23 + b = 180 ( sum of the interior angles on a triangle is 180 )
58 + b = 180
b = 180 - 58
b = 122
27 + c + ? = 180 ( sum of the interior angles on a triangle is 180 ) c =122 ( vertically opposite angles are equal )
27 + 122 + ? = 180
149 + ? = 180
? = 180 - 149
? =31
________________________________________________________________________________________
13)
115 + b = 180 ( sum of the angels on a straight line is 180 )
b = 180 - 115
b = 65
65 + 90 + c = 180 ( sum of the angels on a straight line is 180 )
155 + c = 180
c = 180 - 155
c = 25
155 + d = 180 ( sum of the angels on a straight line is 180 )
d = 180 - 155
d = 25
c + d + e = 180 ( sum of the interior angles on a triangle is 180 )
25 + 25 + e = 180
50 + e = 180
e = 180 - 50
e = 130
e + ? = 180 ( sum of the angels on a straight line is 180 )
130 + ? = 180
? = 180 - 130
? = 50
________________________________________________________________________________________
14)
35 + 20 + b = 180 ( sum of the interior angles on a triangle is 180 )
55 + b = 180
b = 180 - 55
b = 125
156 + c = 180 ( sum of the angels on a straight line is 180 )
c = 180 - 156
c = 24
c + e + ? = 180 ( sum of the interior angles on a triangle is 180 ) e= 125 ( vertically opposite angles are equal )
24 + 125 + ? = 180
149 + ? = 180
? = 180 - 149
? = 31
________________________________________________________________________________________
15)
b = 45 ( vertically opposite angles are equal )
b + 60 + c = 180 ( sum of the interior angles on a triangle is 180 )
45 + 60 + c = 180
105 + c = 180
c = 180 - 105
c = 75
68 + 75 + e = 180 ( sum of the angels on a straight line is 180 )
143 + e = 180
e = 180 - 143
e = 37
100 + 37 + j = 180 ( sum of the interior angles on a triangle is 180 )
137 + j = 180
j = 180 - 137
j = 43
j + ? = 180 ( sum of the angels on a straight line is 180 )
43 + ? = 180
? = 180 - 43
? = 137
________________________________________________________________________________________
16)
b = 75 ( vertically opposite angles are equal )
c = 45 ( vertically opposite angles are equal )
b + c + e = 180 ( sum of the interior angles on a triangle is 180 )
75 + 45 + e = 180
120 + e = 180
e = 180 - 120
e = 60
e + 79 + j = 180 ( sum of the angels on a straight line is 180 )
60 + 79 + j = 180
139 + j = 180
j = 180 - 139
j = 41
j + 60 + s = 180 ( sum of the interior angles on a triangle is 180 )
41 + 60 + s = 180
101 + s = 180
s = 180 - 101
s = 79
s + ? = 180 ( sum of the angels on a straight line is 180 )
79 + ? = 180
? = 180 - 79
? = 101
________________________________________________________________________________________
hope this helps☆☆☆
it took soooo long to do btw ⊙•⊙
If I get payed $1.00 an hour, how much would I make for 10 minutes of work
Answer:
$0.10
Step-by-step explanation:
Solve the equation. -w/20=-2.5
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf{ - w \div 20 = - 2.5}[/tex][tex] \sf - w = - 2.5 \times 20[/tex][tex] \sf - w = - 50[/tex][tex] \sf{w = 50}[/tex]In a survey of 1900 people who owned a certain type of car, 1140 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
60% of the people surveyed were satisfied with the car
Step-by-step explanation:
1140 satisfied people / 1900 total people = 0.60 = 60% satisfied people
is (2×3)×4=2×(3×4) an example of associative property of multiplication?
Answer:
Yes.
Step-by-step explanation:
Associative property of multiplication is:
(A×B)×C = A×(B×C).
It says that "The way of grouping of terms doesn't change the product."
So, given example (2×3)×4=2×(3×4) is an example of associative property of multiplication.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807What fraction of one hour (60 minutes) is represented by the following numbers of minutes? Simplify each fraction whenever possible. A sketch of a clock might help you
15 minutes =
20 minutes =
Answer:
[tex] \frac{1}{4} [/tex]
[tex] \frac{1}{3} [/tex]
Which is the total value of the digit 4 in 34 712
Answer:
4,000 which is four thousand
Answer:
4000
Step-by-step explanation:
During the last year the value of your house decreased by 20%. If the value of your house is $265,000 today, what was the value of your house last year? Round your answer to the nearest cent, if necessary.
Answer: 331,250
Step-by-step explanation: hope it helps
can someone help me with this math problem
Answer:
It is congruent to the angle F, as they are similar triangles.
Which answer choice shows the expression below factored correctly?
9x–15
Answer:
[tex]3(3x-5)[/tex]
Step-by-step explanation:
First, you have to rewrite 9 as 3 * 3 and 15 as 3 * 5
Finally, you have to factor out the common term 3 to get [tex]3(3x-5)[/tex]
Hope this helps!
P.S next time list the answer choices it would help alot :)
The sum of 21 and n is equal to 43.23
please help me!!!
I’ll give out 30 points!!!
Answer:
n=22.23
Step-by-step explanation:
21+n=43.23
-21 to both sides
0+n=22.23
n=22.23
What is the probability of getting an odd number on the first roll and less than 3 on the second roll? * choise 1/6 3/6 2/6 3/5
The probability of getting an odd number on the first roll and less than 3 on the second roll is 1/6.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The probability of getting an odd number on the first roll is 3/6
since there are three odd numbers (1, 3, 5) out of six possible outcomes (1, 2, 3, 4, 5, 6).
The probability of getting less than 3 on the second roll is 2/6, since there are two possible outcomes (1, 2) out of six.
To find the probability of both events happening, we multiply the probabilities:
P(odd on first roll and less than 3 on second roll) = P(odd on first roll) × P(less than 3 on second roll)
= (3/6)× (2/6)
= 1/6
Therefore, the probability of getting an odd number on the first roll and less than 3 on the second roll is 1/6.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2
9x2+8x(5x-4) simplify
Therefore, -14x + 40x² is the answer.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
A CD is on sale for $10.00. The sales tax rate is 6%. How much will the total cost be for the CD
Answer:
$10.06
Step-by-step explanation:
Tax rate = 6% , convert into 0.06
10 × 0.06 = 0.6
10 + 0.6 = 10.06
Which situation can be represented by the expression 5.3d?
1. the total cost of an item that is d dollars more than $5.30
2.the total cost of d items that cost $5.30 each
3.the amount of change when $5.30 is used to pay for an item costing d dollars
4.the amount of change when $5.30 is used to pay for an item costing d dollars
Answer:
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If x²+y²=125 and xy=22, find the value of (x+y)².
[tex]\text{Given that,}~x^2 +y^2 = 125 ~ \text{and}~ xy =22\\\\(x+y)^2 = x^2 +y^2 +2xy = 125 +2(22) = 169[/tex]
[tex]\huge \bf༆ Answer ༄[/tex]
Here's the solution ~
[tex] \sf(x + y) {}^{2} [/tex][tex] \sf {x}^{2} + {y}^{2} + 2xy[/tex][ by using formula ]
[tex] \sf125 + (2 \times 22)[/tex][tex] \sf125 + 44[/tex][tex] \sf169[/tex]I hope it helps ~
(02.06)If a piece of ribbon is 6 and 1 over 4. feet long, how long is it in inches? 25 inches 72 inches 75 inches 84 inches
Answer:
C
Step-by-step explanation:
1 foot = 12 inches Find 1/4 foot in inches
1/4 a foot = 1/4 * 12 = 3 inches
6 1/4 feet = (6 + 1/4) * 12
=72 + 3
75 inches
Jake ran 4% miles in % of an hour. How fast did he run in one hour?