a) The approximate sum of the numbers by first rounding each number is 74,600
b) The exact sum of the numbers rounded to the nearest hundred is 74,500
From the question, we are determine the approximate sum of the given numbers
The given numbers are
34,856 and 39,670
a) Round 34,856 to the nearest hundred
34,856 to the nearest hundred is 34,900
Also,
Round 39,670 to the nearest hundred
39,670 to the nearest hundred is 39,700
Now,
Add the rounded numbers
34,900 + 39,700 = 74,600
b) The exact sum of the numbers is
34,856 + 39,670 = 74,526
Rounding the result to the nearest hundred
74,526 rounded to the nearest hundred is 74,500
Hence, the exact sum of the numbers rounded to the nearest hundred is 74,500
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GUYS I REALLY NEED HELP ON MATH!!!
Answer:
might be C
Step-by-step explanation:
Victoria drew a diagram of her laptop that she uses at school. It is in the shape of a rectangle. The dimensions are as follows:
Length: 13x - 9 units
Width: 4.5x + 8 units
Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.. The inequality that represents the given situation is 13x - 9 > 4.5x + 8
What is Inequality?Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
From the question, we are to determine the inequality that represents the given situation
From the given information, we have that
The length of the laptop is given by 13x - 9 units
and The width of the laptop is given by 4.5x + 8 units
If the length is greater than the width, then we can write that
13x -9 > 4.5x + 8
Hence, the inequality that represents the given situation is 13x - 9 > 4.5x + 8
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Find the domain and range !!!! HELP ASAP PLS
Step-by-step explanation:
ndiqdgndkiermqigmniiscdgvdgngntj
Please help me solve for x.
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.
[tex]\cfrac{9 + x}{15}=\cfrac{15}{9}\implies \cfrac{9 + x}{15}=\cfrac{5}{3}\implies 27+3x=75 \\\\\\ 3x=48\implies x=\cfrac{48}{3}\implies \boxed{x=16}[/tex]
the angle is 11/12 on a circle
Here we will show you how to calculate the angle in degrees made by the hour hand and minute hand on a 12-hour clock at 11:12.
Before we continue, note that a clock is shaped like a circle and is composed of 360 degrees.
There are 60 minutes in an hour, and 360 degrees divided by 60 minutes is 6. Therefore, the minute hand moves 6 degrees per minute.
As you can see, the hour hand and minute hand showing 11:12 on the clock make an angle. We used the hands to make the pie chart below so it is easier to visualize what we are calculating.
The hour hand and minute hand on a clock showing 11:12 actually make two angles: The hour hand to the minute hand is outlined in blue, and the minute hand to the hour hand is outlined in red.
360 - (336 - 72) = 96 degrees
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the tallest person ever confirmed by the guinness records organization was robert ludlow of the united states, at 8 feet 11.1 inches tall. heights of american men are approximately normal with mean 69.3 inches and standard deviation 2.8 inches. what is ludlow's z-score?
Ludlow's z-score is z = 13.5
Given that the heights of American men are approximately normal.
Mean of the population, μ = 69.3 inches
Standard Deviation of the population, σ = 2.8 inches
Height of Robert Ludlow is 8 feet 11.1 inches = 107.1 inches [since 1 feet = 12 inches and 8 feet = 96 inches. 96 + 11.1 = 107.1 inches]
So [tex]\bar x[/tex] = 107.1 inches.
Since the population is assumed to be normal, we can find the z-score,
z = [tex]\frac{\bar x-\mu}{\sigma}[/tex]
= (107.1-69.3)/2.8
= 37.8 / 2.8
= 13.5
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A scientist has 315 cells in a container. she expects the number of cells to triple in one day. how many cells will the scientist have after one day? include all necessary work to support your answer.
If a scientist has 315 cells in a container and she expects the number of cells to triple in one day then the number of cells the scientist will have after one day is equal to 945.
The number of cells the scientist will have after one day can be figured out using multiplication. Multiplication is one of the four parts of arithmetic. It can be considered as the opposite of division and can be defined as the repeated addition of the same number or groups of equal sizes.
The number of cells the scientist will have after one day can be calculated as follows;
Number of cells = 315
As it is expected to triple, which means that it is expected to increase three times in amount.
Therefore;
3 × number of cells in the container
3 × 315 = 945
Hence, the number of cells the scientist will have after one day is calculated to be 945.
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En 1999 la ciudad tenía 300 gatos callejeros y se ha demostrado que la cantidad de gatos crece un 10% año con año, ¿Cuántos gatos callejeros hay en la actualidad?
Number of cats cannot be a decimal value, therefore, Total number of stray cats in the city today are 2686, rounded off from 2686.29.
As per the question statement, a certain city had 300 stray cats in 1999, and the number of cats are growing by 10% every year since then.
We are required to calculate the total number of stray cats in the city today.
To do so, we will need to know the formula of compound interest which goes as [tex]A=[P*(1+\frac{R}{100})^n][/tex]
Where, A = Final Amount i.e., (Principle + Interest).
P = Principle on which Interest in compounded
R = Rate of Compound Interest per annum
n = Time period of interest.
Here, (P = 300), (R = 10) and [n = (2022-1999) = 23]
Using these values of P, R and n in the above-mentioned formula to calculate the amount in the case of compound interest, we get,
Total number of stray cats in the city today (T) = [tex][300*(1+\frac{10}{100})^{23} ][/tex]
[tex]or, T=[300*(\frac{100+10}{100})^{23} ]\\or, T=[300*(\frac{110}{100})^{23}]\\or, T=[300*(\frac{11}{10})^{23}]\\or, T=2686.29[/tex]
Since, number of cats cannot be a decimal value, therefore, Total number of stray cats in the city today are 2686, rounded off from 2686.29.
Compound Interest: Compound interest means that the interest increases exponentially, rather than increasing linearly over time, or in simpler words, it is a continuous interest on principal plus interest.
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henrietta is planting a new flower garden. she must have yellow and red rosebushes. let x represent the number of yellow rosebushes and y represent the number of red rosebushes. she wants at least 4 times as many yellow rosebushes as red rosebushes. each yellow rosebush costs $7.50 and each red rosebush costs $4.75. she can spend no more than $125. select all of the constraints for this situation. x>0 x greater than 0 x≥4y x greater than or equal to 4 y y≥4x y greater than or equal to 4 x 7.50x 4.75y≤125 7.5 x plus 4.75 y less than or equal to 125 7.50x 4.75y≥125 7.5 x plus 4.75 y greater than or equal to 125 y>0
The constraints that are suitable for the situation are x≥4y , 7.50x+4.75y≤125 , x>0 and y>0 .
In the question it is given that
"x" represent the number of yellow rosebushes.
"y" represent the number of red rosebushes.
The word "at least' means "≥".
So "at least 4 times as many yellow rosebushes as red rosebushes" means x≥4y . (constraint 1)
The number of red or yellow rosebushes cannot be negative .
So , x>0 (constraint 2)
y>0 (constraint 3)
Also ,
the cost of each yellow rosebushes = $7.50
number of yellow rosebushes = x
total cost of yellow rosebushes =7.50x
the cost of each red rosebushes = $4.75
number of yellow rosebushes = y
total cost of yellow rosebushes =4.75y
According to the question ,
she can spend no more than $125 , that means
7.50x+4.75y≤125 ( constraint 4)
Therefore , the constraints that are suitable for the situation are x≥4y , 7.50x+4.75y≤125 , x>0 and y>0 .
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Write the slope-intercept form of the given line. Include your work in your final answer. Type your answer in the box provided to submit your solution.
to get the equation of any straight line, we simply need two points off of it, let's use those two from the picture below.
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{(-4)}}} \implies \cfrac{-6}{0 +4} \implies \cfrac{ -6 }{ 4 }\implies -\cfrac{3}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{3}{2}}(x-\stackrel{x_1}{(-4)}) \implies y -3=-\cfrac{3}{2} (x +4) \\\\\\ y-3=-\cfrac{3}{2}x-6\implies {\LARGE \begin{array}{llll} y=-\cfrac{3}{2}x-3 \end{array}}[/tex]
would you classify 156 as a perfect square perfect cube both or neither
Dan's car depreciates at a rate of 15% per year.
By what percentage has Dan's car depreciated after 3 years?
Give your answer to the nearest percent.
Answer:
45%
Step-by-step explanation:
15 x 3 = 45
There are 20 cubic feet of sand left over from a project. Mr. Wilson wants to build a sand box to hold the left-over sand. He built a rectangular box. The box is 5 feet long by 2 feet wide. How deep will the sand be once it is poured into the sandbox
The depth of the box once the sand is poured into it is 2 feet
Volume of a boxVolume of the sand left = 20 cubic feetLength of the box = 5 feetWidth of the box = 2 feetHeight of the box = x feetVolume of the box = length × height × width
20 = 5 × 2 × x
20 = 10x
divide both sides by 10x = 20/10
x = 2 feet
Therefore, the depth of the box once the sand is poured into it is 2 feet
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1-Write each decimal as a fraction.
2- Write each fraction as a decimal.
The steps to express a fraction as a decimal is the reverse of the steps required to write a decimal as a fraction, with the resulting fraction being simplified further as follows;
0.3 is ten times as great as 0.03 and 0.003 is 1/10 of 0.030.001 = 1/10000.05 = 1/200.512 = 64/1250.309 = 309/10002/1,000 = 0.00234/100 = 0.34508/1000 = 0.50899/1,000 = 0.0990.007 = 7/1,0000.08 = 2/250.065 = 13/2000.9 = 9/100.832 = 104/1250.203 = 203/1,0000.78 = 39/500.999 = 999/1,000434/1,000 = 0.4343/10 = 0.3873/1,000 = 0.87317/1,000 = 0.17309/1,000 = 0.3095/1,000 = 0.0056/100 = 0.06999/1,000 = 0.999How are decimals obtained from fractions?To write a decimal as a fraction gives a fraction having all the digits of the decimal up to the last nonzero digit in the numerator, and 10 raised to the power, the number of places to the decimal point is moved up to the right of the last non zero digit, and vice versa.
Starting from question 2, we have;
2. 0.3 is ten times as great as 0.03, given that we have;
10 × 0.03 = 0.3
0.003 is 1/10 of 0.03, given that we have;
1/10 × 0.03 = 0.003
Expressing the decimals as fractions gives;
3. 0.001 = 1/1000
4. 0.05 = 5/100 = 1/20
5. 0.512 = 512/1000 = 64/125
6. 0.309 = 309/1000
Writing the fractions as decimals gives;
7. 2/1,000 = 0.002
8. 34/100 = 0.34
9. 508/1000 = 0.508
10. 99/1,000 = 0.099
Independent practice
Writing the decimals as fractions
11. 0.007 = 7/1,000
12. 0.08 = 8/100 = 2/25
13. 0.065 = 65/1,000 = 13/200
14. 0.9 = 9/10
15. 0.832 = 832/1,000 = 104/125
16. 0.203 = 203/1,000
17. 0.78 = 78/100 = 39/50
18. 0.999 = 999/1,000
19. 434/1,000 = 0.434
20. 3/10 = 0.3
21. 873/1,000 = 0.873
22. 17/1,000 = 0.17
23. 309/1,000 = 0.309
24. 5/1,000 = 0.005
25. 6/100 = 0.06
26. 999/1,000 = 0.999
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Anthony Tedesco sold his used mountain bike and accessories for $210. If he received 5 times as much money for the bike as he did for the accessories, find how much money he received for the bike.
Answer:
He received $45 for the bike
find the product of the integers 2(-4)
Answer:
-8
Step-by-step explanation:
2(4)=8, and a negative number times a positive number results in a negative number.
A group of friends wants to go to the amusement park. They have $113.50 to spend on parking and admission. Parking is $17.50, and tickets cost $24 per person, including tax. Which equation or tape diagram could be used to represent the context if x represents the number of people who can go to the amusement park?
Answer: X = 4
Step-by-step explanation:
(20 POINTS) Joseph buys a subway pass for $55. Every time he rides the subway, money is deducted from the value of the pass. He rode the subway 5 times and $40 was deducted from the value of the pass. How much was deducted from Joseph's account for each ticket? Write a mathematical expression to represent this situation; then find the answer.
The amount deducted from Joseph's account for each ticket is $8
The amount deducted from Joseph's account for each ticket?Total cost of subway pass Joseph bought = $55Number of times he rode the subway = 5Total amount deducted from the value of the subway pass = $40The amount deducted from Joseph's account for each ticket = Total amount deducted from the value of the subway pass ÷ Number of times he rode the subway
= $40 / 5
= $8 per ticket
Total amount remaining in the subway pass = Total cost of subway pass Joseph bought - Total amount deducted from the value of the subway pass
y = $55 - $40
= $15
The mathematical equation to represent this situation is y = $55 - $40
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skills check mathematics help needed please
Answer:
1. 600000+90000+ 6000
2. 6000+ 300
3. 6x+ 33x
4.
5.
6.
7. 75
8. 21
9. -5x
10. 3x
11. 10 km
12. 4.6
13.
14.
15. $3.5
16.$1.5
17. 4x-1=3x-5
+1 +1
4x= 3x-4
-3x -3x
x=-4
18. 3x-3=27-2x
+3 +3
3x= 30-2x
+2x +2z
5x= 30
/5 /5
x= 6
19. 0.5
20. 1
hola ayuda pls, con esta division
9624 dividido 8 pls ayuda XD
Answer:
Step-by-step explanation:
Which length of time is between 5.50 am and 8.35 am ?
Answer:
3 hours and 25 minutes
Step-by-step explanation:
Since these times are both AM, you can just change the form to 8.35 and 5.50 and subtract.
8.35- 5.50 = 2.85
And since there are max of 60 minutes in an hour, you take the 60 minutes from the 85 minutes, and you're left with 3 hours and 25 minutes.
Hope this helped :D
Answer:
i think 165 minutes which would be 2.75 converted in hours
Step-by-step explanation:
help! asap!! 10 points! will give brainliest!!!
Using the Pythagorean Theorem, we have that the distance from home plate to second base is about 127 feet.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared of the triangle, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
The distance between each consecutive base is of 90 feet, hence the distance from home plate to 2nd base is the hypotenuse of a right triangle in which the legs are of 90 feet, being the distances from home plate to 1st base and 1st base to 2nd base.
Then:
h² = 90² + 90²
h = sqrt(90² + 90²)
h = 127 feet.
The distance from home plate to second base is about 127 feet.
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James has factorised an expression correctly.
His answer is 2(7y - 3).
What was the expression that he factorised?
Answer:
14y - 6
Step-by-step explanation:
given factored expression
2(7y - 3) ← multiply each term in the parenthesis by 2 to give original
= 14y - 6 ← expression before being factorised
Let f(x)=x-2 and g(x)=x²-3 x+2 . Perform each function operation and then find the domain. -2 g(x)+f(x)
The outcome of -2 g(x) + f(x) is 4 x -2 x ² and the domain is [ 0 , 2 ] .
Given,
f (x) = x - 2 and g (x) = x² - 3 x + 2
The question states to find the summation of the function f, that is, f (x) = x - 2, and function g, that is, g (x) = x² - 3 x + 2
Performing the addition operation on these functions is just like simple addition.
This means that when we add the two functions f (x) and g (x), we get
f (x) + g (x) = x - 2 + x² - 3 x + 2
=> f (x) + g (x) = x ² - 2 x
This implies that the summation or addition of the two functions f (x) and g (x) gives x ² - 2 x
needed result = -2 g(x) + f(x) = -2 ( x² - 2 x ) = -2 x ² + 4x = 4 x -2 x ²
To find domain,
y = 4 x -2 x²
=> 4x -2 x² ≥ 0
=> 2 x * ( 2 - x ) ≥ 0
=> 2 x ≥ 0 and 2 - x ≥ 0
=>x ≤ 2 and x ≥ 0
=> the final Domain = [ 0 , 2 ]
Therefore, we get the result of -2 g(x) + f(x) as 4x -2 x ² and the domain as [ 0 , 2 ] .
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What is 2,382,475 in word form
Find the midpoint of the line segment joining the points R(4,3) and S(-1,6).
+
The midpoint is.
(Type an ordered pair. Use integers or simplified fractions for any numbers in the expression.)
Answer:
(3/2, 9/2)
Step-by-step explanation:
You want the midpoint of the line segment with end points R(4, 3) and S(-1, 6).
MidpointThe coordinates of the midpoint will be the average of the end point coordinates:
M = (R +S)/2
M = ((4, 3) +(-1, 6))/2 = (4 -1, 3 +6)/2 = (3, 9)/2
M = (3/2, 9/2) . . . . coordinates of the midpoint
1/5(4x+2)-1/2(2x-1)=10
Answer:
-45.5
Step-by-step explanation:
8x+4 -10x +5 = 100
x = - 91/2
6. Blake plans to walk between 10 mi and 15 mi a week. He walks at a rate of 5 mph., Write, solve, and
graph an inequality to model how many hours Blake will be walking. (3 pt)
Answer:
2 ≤ x ≤ 3 where x represents the number of hours walking
Step-by-step explanation:
The distance to walk in miles can be modeled as the following inequality
Let x represent the number of hours Blake will be walking.
To cover 10 mi at 5 mph, Blake will take 10/5 = 2 hours
To cover 15 mi at 5 mph, Blake will take 15 /5 = 3 hours
The actual number of hours walked must lie within these limits
So
2 ≤ x ≤ 3 where x represents the number of hours walking
37. Ten people ordered calculators. The least expensive was
$19.95 and the most expensive was $39.95. Half ordered a
$29.95 calculator. Select the best estimate of the amount
spent on calculators.
a. $240
b. $310
c. $345
SECTION
d. $355
An G
spelle
per I
Exer.
The amount spent on calculators is $310 which is option (b) .
The class upper bound is the largest data value that the class can contain. The class lower bound of a class is the smallest data value that the class can contain. The average is the average of the given numbers, calculated by dividing the sum of the given numbers by the total number of numbers.It is given that half people ordered $29.95 calculator which means that 5 people have ordered $29.95 per calculator then , amount is given by
(number of people ) × cost per calculator = total amount spent
[tex]5\times29.95=\$149.75[/tex]
It is given that least expensive calculator was $19.95 and the most expensive calculator was $39.95.
Mean will be [tex]=\frac{least\ + \ most}{2}[/tex]
[tex]=\frac{19.95+39.95}{2} \\\\=\frac{59.9}{2} \\\\=29.95[/tex]
so the other 5 people have spent an average of amount [tex]=5\times29.95[/tex]
[tex]=\$149.75[/tex]
Total amount spent on calculators will be [tex]=149.75+149.75=\$299.5[/tex]
which is approximately equal to $310 which is option (b) .
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Factor each expression.
3 x²+10 x+8
After solving, the factors of equation 3x²+10x+8 are:
(x+2) and (3x+4)What exactly is an equation?An equation is a mathematical statement made up of two representations joined by an equal sign.An equation is 3x - 5 = 16.After solving this equation, we get the value for the variable x as x = 7.So,
Given the equation: 3x²+10x+8
Then,
3x²+10x+8 3x²+x( + )+8 3x²+x(6+4)+8 3x²+6x+4x+83x(x+2)+4(x+2)Factors are: (x+2) and (3x+4)
Therefore, after solving, the factors of equation 3x²+10x+8 are:
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