Answer:
Well, the correct answer is 119.4347826086956521739130 (after the 130 the whole decimal is repeated.
Step-by-step explanation:
Although if your assignment is asking for an estimate you could probably just say 119 since the first and second decimal is less then 5
The estimation of the expression 8.2 × 6.7 divided by 0.46 is approximately 112.
What is estimation?It is a rough calculation of the value, number, quantity, etc. It doesn't use real calculation but estimation by some method like prediction, using approximation etc.
For this case, we've to esimate the value of the expression:
\(E = \dfrac{8.2 \times 6.7}{0.46}\)
Instead of using exact values, let we use:
\(8.2 \approx 8\\6.7 \approx 7\\0.46 \approx 0.5 = 1/2\)
Then, we get:
\(E = \dfrac{8.2 \times 6.7}{0.46} \approx \dfrac{8 \times 7}{1/2} = 2 \times 8 \times 7= 2 \times 56 = 112\)
Thus, the estimation of the expression 8.2 × 6.7 divided by 0.46 is approximately 112.
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A nine-month old baby drank an average of 7 1/4 oz during each of four feedings. If the baby drank 7 1/2oz, 7 3/8oz, & 6 3/8oz in the first three feedings, how many ounces were taken during the fourth feeding?
A) 7 3/8
B) 6 3/8
C) 6 3/4
D) 7 3/4
Show work please
Answer: D) 7 3/4
Step-by-step explanation:
With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4
Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses
29 = 21 1/4 + x
Now we can isolate x by subtracting 29-21 1/4
so
x = 7 3/4 thus the answer is D
Answer:
D) 7 3/4
Step-by-step explanation:
Let x = amount of last feeding.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4
4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x
28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x
29 = 20 10/8 + x
(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)
29 = 21 2/8 + x
29 = 21 1/4 + x
x = 29 - 21 1/4
x = 28 4/4 - 21 1/4
x = 7 3/4
Answer: 7 3/4
The total public debt D (in trillions of dollars) in the United States at the beginning of each year from 2000 through 2008 can be approximated by the model
D = 0.032t2 + 0.21t + 5.6, 0 ≤ t ≤ 8
where t represents the year, with t = 0 corresponding to 2000.†
Step-by-step explanation:
Given the equation that modeled the total public debt D (in trillions of dollars) in the United States at the beginning of each year from 2000 through 2008 can be approximated by;
D = 0.032t^2 + 0.21t + 5.6, 0 ≤ t ≤ 8
We are to find the total public debt with the time interval;
when t = 0;
D = 0.032(0)^2 + 0.21(0) + 5.6
D = 5.6 trillion dollars
when t = 1;
D = 0.032(1)^2 + 0.21(1) + 5.6
D = 0.032+0.21+5.6
D = 5.842 trillion dollars
when t = 2;
D = 0.032(2)^2 + 0.21(2) + 5.6
D = 0.128+0.42+5.6
D = 6.148 trillion dollars
when t = 3;
D = 0.032(3)^2 + 0.21(3) + 5.6
D = 0.288+0.63+5.6
D = 6.518 trillion dollars
when t = 4;
D = 0.032(4)^2 + 0.21(4) + 5.6
D = 0.512+0.84+5.6
D = 6.952 trillion dollars
when t = 5;
D = 0.032(5)^2 + 0.21(5) + 5.6
D = 0.8+1.05+5.6
D = 7.45 trillion dollars
when t = 6;
D = 0.032(6)^2 + 0.21(6) + 5.6
D = 1.152+1.26+5.6
D = 8.012 trillion dollars
when t = 7;
D = 0.032(7)^2 + 0.21(7) + 5.6
D = 1.568+1.47+5.6
D = 8.638 trillion dollars
when t = 8;
D = 0.032(8)^2 + 0.21(8) + 5.6
D = 0.032(64)+1.68+5.6
D = 2.048+1.68+5.6
D = 9.328 trillion dollars
From the values gotten, we can see that the total public debt reached or surpassed 7 trillion dollars in 2005
To get the public debt in 2017, we can simply substitute t = 17 into the expression D = 0.032t2 + 0.21t + 5.6
D = 0.032(17)^2 + 0.21(17) + 5.6
D = 0.032(289)+3.57+5.6
D = 9.248+3.57+5.6
D(17) = 18.418 trillion dollars
Find probability of the sum greater than or equal to 11 with 2 dice
Answer:
Step-by-step explanation:
There are 2 ways to make 11. Pretend that one die is red and the other green.
red green
5 6
6 5
And there is just one way to make 12
red green
6 6
So you have 3 ways to succeed.
The total number of ways to throw to dice = 6 * 6
P(11 or 12) = 3/36 = 1/12
So one in 12 times you should get a result of 11 or 12.
8. G DEEPER There are 27 ducklings in the water. 20 of them come out of the water. How many ducklings are still in the water? 1 1
Answer: there are 7 in the water
Step-by-step explanation:
plsss hurry Solve the application problem. Find the perimeter of a pantry shelf that measures 3 yards by 5/8 yard.
A. 1 7/8 yd
B. 7 1/4 yd^2
C. 1 7/8 yd^2
D. 7 1/4 yd
Vicky is solving an equation where both sides are linear expressions. She sets each linear expression equal to y and graphs the resulting system. If the y-intercepts of the graphs are the same but the slopes are different, what is the greatest possible number of intersections for these graphs?
none
one
two
infinitely many
Vicky is solving an equation where both sides are linear expressions. She sets each linear expression equal to y and graphs the resulting system. If the y-intercepts of the graphs are the same but the slopes are different, then graphs has 1 intersection.
What is Slope intercept form?y=mx+c is the slope intercept form of a line.
If the y-intercepts are the same, then the two linear have the same y-intercept as a solution. That is one common solution for both expressions. The two expressions intersect at that point. Since the slopes are different, there are no more common solutions since if two different lines intersect, they intersect at exactly one point and no more.
Therefore one is the greatest possible number of intersection for those graphs.
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Answer:its b one
Step-by-step explanation:
im right on edge and simple answer
Simplify the following expression. 3 11 5 ÷ 3 − 9 5 A. 12 B. 1 81 C. 81 D.
Answer:
A
Step-by-step explanation:
To simplify the expression 3 11 5 ÷ 3 − 9 5, let's break it down step by step:
First, let's simplify the division 3 11 5 ÷ 3:
3 11 5 ÷ 3 = (3 × 115) ÷ 3 = 345 ÷ 3 = 115.
Next, let's subtract 9 5 from the result we obtained:
115 - 9 5 = 115 - (9 × 5) = 115 - 45 = 70.
Therefore, the simplified expression is 70.
The correct answer is A. 70.
Consumer Price Index, 1970-2002
Year
1970
1975
1980
1985
1990
1995
2002
Source: World Almanac 2003
CPI
116.3
161.2
248.8
322.2
391.4
456.5
535.8
Describe how the CPI is related to the year.
As the year increases, the CPI decreases and then increases.
As the year increases, the CPI increases and then decreases.
As the year increases, the CPI decreases.
d. As the year increases, the CPI increases.
C.
a.
b.
The computation of the increased in salary is $500.
Here, we have,
Explanation:
Data provided in the question
Salary for the first year = $50,000
CPI increase during the year = 4%
Overstated inflation = 1% i.e. 5%
The computation of the increased in salary is shown below:
= Salary of the first year × inflation rate - salary of the first year × CPI increase during the year
= $50,000 × 5% - $50,000 × 4%
= $2,500 - $2,000
= $500
Hence, The computation of the increased in salary is $500.
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complete question:
Mark's wage contract specifies a $50,000 salary for the first year, and specifies a salary increase equal to the percentage increase in the CPI during the second year. The increase in the CPI during the year was 4.0%. If the CPI overstates inflation by 1.0% (that is, the actual price increase was 3% and not 4%), at the end of the first year Mark's salary increased by $________ more than it would have without the upward bias.
6(2) - 7(8 + 6 - 3(2)
Answer:
-44
Step-by-step explanation:
12-7(8+6-6)
12-7(8)
12-56
-44
Step-by-step explanation:
6(2)-7(8+6-3(2))
12-7(8+6-6)
12-7(8)
12-56
-44
hope it's helpful ❤❤❤❤❤❤
THANK YOU.
#
3) Andy earned 1,000$. He used 25% to buy food and 50% to pay
the rent. The rest he saved. How much money did he save?
Step-by-step explanation:
1000 devided by 75% gives 250
can anyone help me please
From the equations expressed as fractions, having a single variable,
gives;
x = 22.5x = 2.4x = 0.8x = 14y = 28b = 6Which method can be used to find the variables?\(1. \hspace{0.15 cm}\dfrac{4}{9} = \mathbf{\dfrac{10}{x}}\)
By cross multiplying, to clear the fractions, in we have;
4 × x = 10 × 9 = 90
\(x = \dfrac{90}{4} = \mathbf{22.5}\)
x = 22.5
\(2. \hspace{0.15 cm}\dfrac{5}{2} = \mathbf{\dfrac{6}{x}}\)
5 × x = 6 × 2 = 12
\(x = \dfrac{12}{5} = \mathbf{2.4}\)
x = 2.4
\(3. \hspace{0.15 cm}\dfrac{5}{2} = \mathbf{\dfrac{2}{x}}\)
5 × x = 2 × 2 = 4
\(x = \dfrac{4}{5} = \mathbf{0.8}\)
x = 0.8
\(4. \hspace{0.15 cm}\dfrac{21}{27} = \mathbf{ \dfrac{x}{18}}\)
21 × 18 = 27 × x
\(x = \dfrac{21 \times 18}{27} = \mathbf{14}\)
x = 14
\(5. \hspace{0.15 cm}\dfrac{15}{21} = \mathbf{ \dfrac{20}{y}}\)
15 × y = 20 × 21
\(y = \dfrac{20 \times 21}{15} = \mathbf{28}\)
y = 28
\(6. \hspace{0.15 cm} \mathbf{\dfrac{26}{b}} = \dfrac{39}{9}\)
26 × 9 = 39 × b
\(b = \dfrac{26 \times 9}{39} = \mathbf{ 6}\)
b = 6
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What is -5 5/8+3 1/2?
Answer: -2 1/8
Step-by-step explanation:
3 1/2 = 3 4/8
5 5/8 - 3 4/8 = 2 1/8
Add the negative sign back to get -2 1/8
an airplane takes 3 hours to travel a distance of 1440 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in the still air and the speed of the wind.
Answer:
The speed of the plane in the still air is 420 miles/hour
The speed of the wind 60 miles/hour
Step-by-step explanation:
Let the speed of the plane with the wind be v
Let the speed of the plane against the wind be u
Now, speed = distance/time
With the wind,
v = (1440 miles)/(3 hours) = 480 miles/hour
v = 480 miles/hour
Against the wind,
u = (1440 miles)/(4 hours) = 360 miles/hour
u = 360 miles/hour
Now, let the speed of plane be p, and speed of wind be w,
Now, with the wind, the speed is 480 mph,
so,
speed of plane + speed of wind = 480 mph
p + w = 480 (i)
and against the wind, the speed is 360 mph,
so,
speed of plane - speed of wind = 360mph
p-w = 360 (ii)
adding equations (i) and (ii), we get,
p+w + p-w = 480 + 360
2p = 840
p = 840/2
p = 420 miles/hour
Then, the speed of the wind will be,
p + w = 480,
420 + w = 480
w = 480 - 420
w = 60 miles/hour
The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.
Explanation:This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).
From the problem, we know that:
The trip with the wind covers 1440 miles in 3 hours, so (r + w) * 3 = 1440The return trip against the wind covers the same 1440 miles in 4 hours, so (r - w) * 4 = 1440By solving these two equations, we get the following:
r + w = 480r - w = 360Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).
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Adrian wants to purchase an electric keyboard. The price of the keyboard at Macelli’s, with tax, is $2,400. He can save $150 per month. How long will it take him to save for the keyboard? (round to a full month).
It will take Adrian 16 full months to save enough money for the electric keyboard.
- Price of the keyboard (with tax) at Macelli's: $2,400
- Adrian's monthly savings: $150
We need to find how long it will take Adrian to save for the keyboard. To do this, we'll divide the total cost of the keyboard by his monthly savings and round up to the nearest full month.
Step 1: Divide the total cost by monthly savings.
Time (in months) = (Total Cost) / (Monthly Savings) = ($2,400) / ($150)
Step 2: Calculate the result.
Time (in months) = 16
So, it will take Adrian 16 full months to save enough money for the electric keyboard.
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In the diagram at below, m m I need help understanding this, please help!!!
Answer:
m<BAC= 110 degrees
Step-by-step explanation:
Since the outside angle m<BCD is 130 degrees the inside angle m<BCA would be 50 degrees. At this point you should know that inside angles of a triangle add up to 180 degrees so add the two angles that you know then subtract from 180 degrees. 50+20= 70 degrees and 180-70= 110 degrees.
can two fractions with the same numerator and different denominators be equal
Answer:
No, it cannot be equal
Step-by-step explanation:
For example: 1/2 and 1/4
1/2 represent in 2 pieces you are getting one piece.
1/4 represent in 4 pieces you get one piece
Rodrick is visiting the local museum exhibit and has a maximum of $30 dollars to spend. The entry ticket cost $7. He can spend g dollars. Write an inequality that can find g and the amount of money Rodrick can spend at the gift shop.
Entry ticket = $7
Gift shop money = $g
Maximum to spend = $30
Inequality => 7+g ≤ 30
Hope it helps!
What is 2M?
Is anyone good at Matrices?
Answer:
It's the first one
Step-by-step explanation:
Because 2M means you are multiplying all the values of M with 2
PLEASE HELP ME
Math question below
Answer : The surface area of triangular prism is 1080 in².
Step-by-step explanation :
Formula used to calculate the surface area of triangular prism is:
Surface area of triangular prism = (2 × Area of triangle) + Area of all rectangle
Area of triangle = \(\frac{1}{2}\times base\times height\)
Area of rectangle = length × breadth
In the given triangular prism, there are 2 triangles and 3 different rectangles.
Surface area of triangular prism = \((2\times \frac{1}{2}\times base\times height)\) + Area of rectangle ABCF + Area of rectangle ABDE + Area of rectangle CDEF
Surface area of triangular prism = \((2\times \frac{1}{2}\times 10\times 24)+(24\times 14)+(26\times 14)+(14\times 10)\)
Surface area of triangular prism = 1080 in²
Therefore, the surface area of triangular prism is 1080 in².
y = 5 and x = -1
Is it parallel,perpendicular or neither
Answer: Perpendicular
y = 5 is a horizontal line through 5 on the y axis
x = -1 is a vertical line through -1 on the x axis
where is the step-by-step explanation?
Answer:
Step-by-step explanation:
DONE SDEA
What is your question?
Have a beautiful and joyful day ahead.
need to know how to measure the radius of m
Answer:
B. 7.4 units
Step-by-step explanation:
If M is the center then radius is just distance from M to outer edge.
What is the median of the data set?
16, 21, 28, 30, 40, 45, 54, 58
A. 58
Β. 35
C. 10
D. 19
Answer:
I think 10 is the answer it's not sure.
A cyclist covers a distance of 900m in 4min 30sec. what is the speed in km/h of the cyclist?
Answer:
12km/h
Step-by-step explanation:
s=d/t
900m is 0.9km and 4min and 30sec is 0.075h
0.9/0.075=12 which gives us 12km/h
Answer:
Step-by-step explanation:
4 min 30 seconds = 270 seconds
900m = 270 seconds
100m = 30 seconds
1000m= 300 seconds (5min)
12,000m=3600seconds (60min)
Answer = 12km/h
Provide the reasons for the following proof.
The figure shows triangle W X Y with a segment X Z drawn from vertex X to point Z on side W Y.
Given: Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y
Prove: triangle W X Z is congruent to triangle Y X Z
Statements Reasons
1.Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y 1. Given.
2. angle W X Z is congruent to angle Y X Z 2. Definition of an angle bisector.
3. Segment X Z is congruent to segment X Z. 3. _____________
4. triangle W X Z is congruent to triangle Y X Z 4. _____________
A. Reflexive Property of congruent to; SSS
B. Symmetric Property of congruent to; SSS
C. Reflexive Property of congruent to; SAS
D. Symmetric Property of congruent to; SAS
SOMEONE HELP! PLEASE!
The two column proof showing that ΔWXZ ≅ ΔYXZ is as shown below
From the given triangle, we see that;
Given: WX ≅ XY, XZ bisects WXY
Prove: ΔWXZ ≅ ΔYXZ
The two column proof for the above is as follows;
Statement 1; WX ≅ XY, XZ bisects 2
Reason 1; Given
Statement 2: ∠WXZ ≅ YXZ
Reason 2; Angle bisector
Statement 3; XZ ≅ XZ
Reason 3: Reflexive property of congruence
Statement 4: ΔWXZ ≅ ΔYXZ
Reason 4: SAS Congruence Postulate
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Is 2 2/3 odd or even?
Answer: the answer is even.
11. The area of a circle is πr2 where r is the length of the radius. Thus, one could take the measure of the central angle in degrees and ____________ _________. Then, multiply that result by πr2.
The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²
What is the area of the sector?We will use the following points to find the area of the sector;
First of all, the angle that is formed in a full rotation is 2π.
The area of a circle is given by the formula; A = πr²
The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π
Thus, the area of a sector is given by the formula;
A = (θ/2π) * πr²
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HELP ILL GIVE YOU THE BRAINLIEST
Answer:
there are 20 seeds per packet
is that your question?
00:00
Muriel has been a member of the Solaris Gym for 372 days,
Ben has been a member for 1 year, 2 weeks, 3 days.
Part A
Who has been a member of the Solaris Gym longer?
Use the drop-down menus to show and explain your answer.
Choose...
has been a member longer because 1 year, 2 weeks, 3 days is
Choose...
than 372 days
00:00
Part B
How much longer? Assume that it is not a leap year. Enter your answer in the box.
days
Answer:
A: Ben has been a member longer because 1 year, 2 weeks, 3 days is longer than 372 days.
B: 10 days longer
Step-by-step explanation:
1 year, 2 weeks, 3 days is 382 days -> 365 + 14 + 3 = 382
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0? Y 8 4 No x -10 -8 -6 -4 -2 2 모 4 6 8 10 -4 -6 -8 -10 Type here to search DI BUT
you can look at the graph when Y = 0 and the value of X on this point is the solution
so, the solution is
x=-6 and x=3
because is the moment the graph touches the Y axis or y is equal 0