Answer: D
Step-by-step explanation:
16/30 x100= 53.3%
|−4 − 5x|=1 equals
Answer:
Step-by-step explanation:
17.
Peter transports metal bars in his van.
The van has a safety notice: "Maximum Load 1200 kg".
Each metal bar has a label: "Weight 60 kg".
For safety reasons, Peter assumes that:
1200 is rounded correct to 2 significant figures, and
60 is rounded correct to 1 significant figure.
Calculate the greatest number of bars that Peter can safely put into the van if his assumptions are
correct.
Answer:
17 bars
Step-by-step explanation:
Peter wants to compute the maximum number of bars he can load safely if the load limit of 1200 kg and the bar weight of 60 kg are each rounded to the number of significant digits those numbers have.
Range of valuesThe error in a rounded number is assumed to be as much as half of the least significant digit of the number.
Peter's load limit may actually be as low as ...
1200 kg - (1/2)(100 kg) = 1150 kg . . . . . . . 1200 is rounded to nearest 100
Peter's bar weight might be as high as ...
60 kg + (1/2)(10 kg) = 65 kg . . . . . . . . . . . 60 is rounded to nearest 10
Safe loadingIf Peter has maximum-weight bars and does not want to exceed the minimum his load limit might be, the number of bars he can load is ...
(1150 kg) / (65 kg/bar) ≈ 17.7 bars
The greatest number of bars Peter can load safely is 17.
How do I solve this problem?
6³√/16 + ³√128
Answer:
16∛2
Step-by-step explanation:
It looks like you want to simplify ...
6∛16 +∛128
Simplifying radicalsRadicals are simplified by removing any powers corresponding to the index of the radical. Here, we're taking cube roots, so the expression is simplified by removing cubes from under the radical.
[tex]6\sqrt[3]{16}+\sqrt[3]{128}=6\sqrt[3]{2^3\cdot2}+\sqrt[3]{4^3\cdot2}\\\\=6\cdot2\sqrt[3]{2}+4\sqrt[3]{2}=(12+4)\sqrt[3]{2}\\\\=\boxed{16\sqrt[3]{2}}[/tex]
over a period of a week the 4 people in group C ran a total pf 27 miles while the 6 people in group D ran a total lf 39 miles. On avarage who ran more miles Group C or Group D.
Group C ran more miles than Group D
the central value of a set of data is expressed by the average of a list of data. It is defined mathematically as the ratio of the total number of data points to the number of units in the list. In terms of statistics, the term "mean" also refers to the average of a certain set of numerical data. The average of 2, 3, and 4 is, for instance, (2+3+4)/3 = 9/3 = 3. The center value of 2, 3, and 4 in this instance is 3, thus. Finding the mean value of a bunch of numbers is the definition of average.
Average = Total Values / Total Values
Group C = 27/4 = 6.75
Group D = 39 /6 = 6.5
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Convert 9.2495 to a percent
Answer:
924.95 %
Step-by-step explanation:
9.2495 x 100% = 924.95 %
2. Josh went shopping for records and tapes on Monday and Tuesday.
He paid $95 for 4 records and 3 tapes on Monday and paid $70 for 2
records and 2 tapes on Tuesday. Write a system of equations that
could be used to determine the amount of each item and solve.
Answer:
it is very tough questions
3. The mean of four numbers is 30. If three of the numbers are 12, 50, and 48, what is the fourth
number?
O 120
O 10
012
030
Answer:
12 10 12 30
Step-by-step explanation:
eso se devide y es 1.030
The sum of the four numbers divided by 4 is equal to the mean.
the sum/4 = mean
(12 + 50 + 48 + n)/4 = 30
(110 + n)/4 = 30
(110 + n) = 30 × 4
(110 + n) = 120
n = 120 - 110
n = 10
What is 481 ÷ 9 = because i’ve been getting the answer wrong?
Answer: 53.44
Step-by-step explanation:
Answer:
53.4 repeating
Step-by-step explanation:
Step 1:Start by setting it up with the divisor 9 on the left side and the dividend 481 on the right side like this: 9⟌481
Step 2:The divisor (9) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top: 0 9⟌481
Step 3:Multiply the divisor by the result in the previous step (9 x 0 = 0) and write that answer below the dividend. 0 9⟌481 0
Step 4:Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below. 0 9⟌481 -0 4
Step 5:Move down the 2nd digit of the dividend (8) like this: 0 9⟌481 -0 48
Step 6:The divisor (9) goes into the bottom number (48), 5 time(s). Therefore, put 5 on top: 05 9⟌481 -0 48
Step 7:Multiply the divisor by the result in the previous step (9 x 5 = 45) and write that answer at the bottom: 05 9⟌481 -0 48 45
Step 8:Subtract the result in the previous step from the number written above it. (48 - 45 = 3) and write the answer at the bottom. 05 9⟌481 -0 48 -45 3
Step 9:Move down the last digit of the dividend (1) like this: 05 9⟌481 -0 48 -45 31
Step 10:The divisor (9) goes into the bottom number (31), 3 time(s). Therefore put 3 on top: 053 9⟌481 -0 48 -45 31
Step 11:Multiply the divisor by the result in the previous step (9 x 3 = 27) and write the answer at the bottom: 053 9⟌481 -0 48 -45 31 27
Step 12:Subtract the result in the previous step from the number written above it. (31 - 27 = 4) and write the answer at the bottom. 053 9⟌481 -0 48 -45 31 - 27 4
You are done, because there are no more digits to move down from the dividend.The answer is the top number and the remainder is the bottom number.Therefore, the answer to 481 divided by 9 calculated using Long Division is: 53 4 Remainder
If a new van is valued at $34,600, what will its value be in 3 years if it depreciates 14.2% each year?
Answer:
The answer is $21,854. 35
Step-by-step explanation:
rate = 14.2%
Time = 3 years
Value = 34600
V = (1-r)^t
V=34600(1-0.142)^3
V=34600 (0.858)^3
V=$21,854.35
pls help me and no spam the question is on the screenshot
Based on the fact that the shape of the given square is dilated with a scale factor, the result would be the first square with a dimension of 3.
What is the dilated shape?The Dilation is to be with a scale factor of 1/3.
This means that the dimensions on the new shape will be:
= Dimensions on original shape x scale factor
= 9 x 1/3
= 9/3
= 3
Dilation does not change the shape of an object so the result of the Dilation would be the first square with a side measurement of 3.
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Is -|-5| Less than, greater than or equal to 5?
Answer:
less than
Step-by-step explanation:
|-5| is 5 so -|-5| is negative 5 (-5)
-5 is less than 5
given f(x) = 4x+1
evaluate f(2)
f(2) = ?
evaluate f(-3)
f(-3)= ?
The value of the functions are:
f(2) = 9
f(2) = -11
Use the concept of fucntion defined as:
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
The given function is,
f(x) = 4x+1
Put x = 2 in the given fucntion,
f(2) = 4(2) + 1
f(2) = 9
Put x = -3 in the given fucntion,
f(2) = 4(-3) + 1
f(2) = -11
Hence, The functions,
f(2) = 9
f(2) = -11
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Point W is the midpoint of Segment VY. VW=9x + 7 and WY = 16x - 28. Find VY.
since W is the midpoint, that simply means that both halves are twins, so
[tex]V\stackrel{9x+7}{\rule[0.35em]{10em}{0.25pt}} W\stackrel{16x - 28}{\rule[0.35em]{10em}{0.25pt}} Y \\\\\\ \stackrel{VW}{9x+7}~~ = ~~\stackrel{WY}{16x-28}\implies 7=7x-28\implies 35=7x\implies \cfrac{35}{7}=x \\\\\\ \boxed{5=x}\hspace{5em}\stackrel{VW}{9(5)+7\implies 52}\hspace{5em}\underset{52~~ + ~~52}{\stackrel{\textit{\LARGE VY}}{104}}[/tex]
The length of segment VY, represented by "a," is 25x - 21.
How to find the length of the segmentTo find the length of segment VY, we can use the fact that W is the midpoint of VY. The midpoint of a line segment divides it into two equal parts. Therefore, the length of VW plus the length of WY equals the length of VY.
Let VY be represented by "a." Then, according to the midpoint property:
VW + WY = VY
Substitute the given expressions for VW and WY:
(9x + 7) + (16x - 28) = a
Now, combine like terms:
25x - 21 = a
So, the length of segment VY, represented by "a," is 25x - 21.
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Help, urgent!!!!! THANKS
THE FIRST ANSWER WILL BE MARKED THE BRAINLIEST, AND 20 POINTS!!!!!
Answer:
1.3 < x < 6.7
Step-by-step explanation:
4.0 - 2.7 = 1.3
4.0 + 2.7 = 6.7
Hope this helps!! <3
. Barney Mullins' regular pay rate is $14.85 an hour. He is paid time-and-a-half
for hours worked over 40 hours in a week, including weekend work. He worked
these hours from Monday through Saturday last week: 8.2, 8.9, 10.1, 9.6, 8.8,
6.7. What was his gross pay for the week?
The gross pay for the week is $776.66.
How to calculate the pay?From the information, he worked these hours from Monday through Saturday last week: 8.2, 8.9, 10.1, 9.6, 8.8, and 6.7.
Therefore, the gross pay will be:
= (8.2 + 8.9 + 10.1 + 9.6 + 8.8 + 6.7) × $14.85
= 52.3 × $14.85
= $776.66
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A shirt and a tie are 57 together if the shirt is $29 more than the tie how much money is the Tie worth
Answer:
$14
Step-by-step explanation:
The tie costs x.
The shirt costs x + 29
Together they cost $57.
x + x + 29 = 57
2x + 29 = 57
2x = 28
x = 14
Answer: $14
Answer:
14
Step-by-step explanation:
Tie is X
Shirt is x + 29
So,
X+X+29= 57
2x+29= 57
57-29= 2x
28=2x
X= 14
So tie is 14 bucks
Brand Y Cola sponsors a survey of 15,559 residents of Texas to determine which brand of cola they prefer. Forty percent say they prefer Brand X, and 60 percent say they prefer Brand Y. Which of the following is the sample used for the survey ?
Answer:
6224 Brand X residents and 9335 Brand Y residents
Step-by-step explanation:
Total number of residents in the survey=15559
Residents that prefer Brand X=40%
Residents that prefer Brand Y=60%
Population sample?
Residents that prefer Brand X= 40/100 ×15559 =6223.6⇒6224 residents
Residents that prefer Brand Y= 60/100 × 15559 =9335.4⇒⇒9335 residents
Answer: B
Step-by-step explanation:
Simplify
9^4/9^24
Report your answer as a fraction.
The simplified fraction is [tex]\frac{1}{9^{20} }[/tex].
The fraction is [tex]\frac{9^{4} }{9^{24} }[/tex], we have to solve the fraction in the simplest form
[tex]\frac{9^{4} }{9^{24} }[/tex]
[tex]9^{4-24}[/tex]
As we know that, [tex]a^{m}[/tex]/[tex]a^{n}[/tex]= [tex]a^{m-n}[/tex]
[tex]9^{-20}[/tex]
1/[tex]9^{20}[/tex]
Therefore the simplified value is 1/[tex]9^{20}[/tex] which is in the form of a fraction.
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is 5/10 equivalent to 12/24
The equation will be,
→ 5/10 = 12/24
Is 5/10 equivalent to 12/24?
→ 5/10 = 12/24
→ 24 × 5 = 12 × 10
→ 120 = 120
→ [ LHS = RHS ]
Hence, they are equivalent.
The population of deer in a national forest has consistently increased by 5% each year. This year, the population of deer is 5,000. If the population increases at the same rate, what number of deer is expected to be in the national forest next year?
Select the correct answer below:
4,750
5,025
5,250
5,263
5,512
Answer:
5250.
Step-by-step explanation:
Consistent = Population of deer increases 5% each year.
This year = 5000
105% of 5000 = 5250
2y=128, then the value of y is:
y = 64.
Step-by-step explanation:
[tex]{ \red{ \mathfrak{2}}}{ \bold{y}} = { \red{ \mathfrak{128}}}[/tex]
[tex]{ \bold{y}} = \frac{ \red{ \mathfrak{128}}}{ \red{ \mathfrak{2}}} [/tex]
[tex]{ \bold{y}} = { \red{ \mathfrak{64}}}[/tex]
[tex]{ \boxed{ \green{ { \sf{y = 64}}}}}[/tex]
Step-by-step explanation:
[tex]{ \red{ \sf{2y = 128}}}[/tex]
Divide both the sides by 2, then
[tex]{ \red{ \sf{ \frac {\cancel2}{ \cancel2}y}}} = { \blue{ \tt{ \frac{ \cancel{128} ^{64}}{ \cancel2_{1}}}}}[/tex]
[tex]{ \blue{ \boxed{ \green{ \boxed{ \pink{ \sf{y = 64}}}}}}}[/tex]
A charter tours bus driver can fit an average of 54 passengers on his bus for each tour. He is scheduled to run 9 tours over the next month. At this rate, how many passengers will he give tours to on his bus?
The number of passengers that he will give tours to on his bus is 486 passengers.
How to compute the value?From the information, the charter tours bus driver can fit an average of 54 passengers on his bus for each tour and he is scheduled to run 9 tours over the next month.
The number of passengers that he will be able to carry will be:
= 54× 9
= 486
There'll be 486 passengers.
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PLEASE ANSWERING THIS QUESTIONS!!
The length of a rectangle is two more than double the width. If the perimeter is 82 inches, find the dimensions.
The width is (Blank) inches.
The length is (Blank) inches.
Rules answering these questions:
Explain your answer!
Do not spam answers!
Show your work!
Nonsense answers will be reported and delete your answers.
Thanks!
[tex]\huge\mathcal {♨Answer♥}[/tex]
Let's get the width as [tex]\large\texttt {x}[/tex]
So,
The length of the rectangle is [tex]\large\texttt {2x +2}[/tex]
The perimeter of the rectangle is [tex]\large\texttt {82 inches}[/tex]
Let's get the answer for width,
☆ 2 (2x + 2) + 2x = 82
4x + 4 + 2x = 82
6x + 4 = 82 - 4
6x ÷ 6 = 78 ÷ 6
x = 13
Let's get the answer for length,
☆ 2x + 2
2 × 13 + 2
28
Then,
[tex]\large\texttt {↪The width is 13 inches}[/tex]
[tex]\large\texttt {↪The length is 28 inches}[/tex]
☆...hope this helps...☆
_♡_mashi_♡_
Solve for the remaining angle and sides of the triangle described below. Round to the nearest hundredth:
C=100°
B=60°
, c=3
A = 20
Use sine rule to find the other angles,
recipe says that 3 2/5 cups of flour are needed to make 1 batch of biscuits. How many cups of flour are needed to make 2 1/2 batches of biscuits?
Answer: 8 1/2 cups of flour
Step-by-step explanation:
You can look at this solution as x being the number of batches of biscuits.
1x = 1 batch of biscuits
1x = 3 2/5 cups of flour, or 17/5 cups of flour
We need to make 2 1/2 batches, restated as 5/2 batches.
This can be restated as 5/2x.
To determine our answer, we multiply x by 5/2.
5/2*(1x) = 5/2*(17/5)
5/2x = 85/10
Simplify.
85/10 = 8 5/10 or 8 1/2 cups
8 1/2 cups of flour are needed to make 2 1/2 batches of biscuits.
Rewrite without parentheses.
3
-4bc²(7b²³-5b5c6 +8c6)
The answer is [tex]-28b^4c^2+20b^6c^8-32bc^8[/tex] without parentheses .
Parentheses, or "brackets", are the familiar ( ) symbols used in pairs to group things or indicate the order of operations in an equation. Example: 5 × (6 − 4) = 5 × 2 = 10 the parentheses group 6-4 and tell us to compute it first.The singular form of parentheses is called parentheses. Parentheses are used to indicate changes in the normal order of operations. Parentheses are also known as parentheses, curly braces, elliptical brackets, or simply parentheses. The "and" symbol is called parenthesis and is commonly used for grouping.
To write this expression without parentheses, each term inside the parentheses must be multiplied by the term outside the parentheses.
[tex]-4bc^2(7b^3-5b^5c^6 +8c^6)=(-4bc.7b^3)+(4bc^2.5b^5c^6)-(4bc^2.8c^6)\\-4bc^2(7b^3-5b^5c^6 +8c^6)=-28b^4c+20b^6c^8-32bc^8[/tex]
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If two rays share an endpoint,then they are opposite rays
How can you decompose one number to subtract? Why did you
choose that way? 696-275
The minuend and the subtrahend of 696 - 275 can be decomposed to give;
600 + 90 + 6
-
200 + 70 + 5
400 + 20 + 1
The decomposition into place values is chosen because of ease of reinforcing knowledge.
What is the decomposition method of subtraction?The decomposition method of subtraction involves decomposing the subtrahend, which is the smaller number and the place value of the numbers can be simply subtracted from the minuend.
In the subtraction, 696 - 275, the minuend is 696, while the subtrahend is 275.
Decomposing the subtrahend, gives;
275 = 200 + 70 + 5
Decomposing the minuend, gives;
696 = 600 + 90 + 6
The subtraction expression in the question, 696 - 275 gives;
696
-275
The above can therefore be decomposed as follows;
600 + 90 + 6
-
200 + 70 + 5
400 + 20 + 1
400 + 20 + 1 = 421
Therefore;
696 - 275 = 421
The reason the decomposition into place values of each digit is chosen is so as to make use of the easier understanding of subtracting numbers that are multiples of 10.
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Yield: 90%
Purchase Unit: 10 boxes = 1 case
Case Weight: 20 lbs
Case Cost: $48.00
Portion Size:5oz
Step 1: Determine number of edible portions (EP)
Step 2: Determine food cost per portion
1. The number of edible portions (EP) is 64.
2. The food cost per portion = $0.75 per portion.
How is the number determined?The number of edible portions can be determined by first converting the case weight in pounds into ounces.
There are 16 ounces in a pound. 20 pounds will equal 320 ounces by multiplication (16 x 20).
Then, divide 320oz by 5oz to determine the number of portions.
Data and Calculations:Yield: 90%
Purchase Unit: 10 boxes = 1 case
Case Weight: 20 lbs
Case Cost: $48.00
Portion Size: 5oz
1lb = 16oz
20lbs = 320oz (20 x 16)
Edible portions (EP) = 64 (320oz/5oz)
Food cost per portion = $0.75 per portion ($48/64).
Thus, the number of edible portions is 64 with the food cost per portion as $0.75.
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Find PD if the coordinate of P is -7 and the coordinate of D is -1.
The length of PD is 6 units given that he coordinate of P is -7 and the coordinate of D is -1.
We are given that the coordinate of point P is - 7 and the coordinate of point D is - 1
We need to find the distance between the point P and point D.
The length of PD is the distance between point P and point D which will be calculated as:
PD = | P + D |
Substituting the values, we get that:
PD = | - 7 + - 1 |
PD = | - 6 |
PD = 6 units.
Therefore, the length of PD is 6 units given that he coordinate of P is -7 and the coordinate of D is -1.
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