This rounded number has three zeros. The number 38,469 rounded to the nearest thousand is 38,000.
To find the number of zeros in 38,469 when rounded to the nearest thousand, we first need to round the number appropriately. We look at the hundreds place (the third digit from the right), which is '4'. Since 4 is less than 5, we do not round up.
Identify the digit in the hundreds place of 38,469 (which is '4').Since 4 is less than 5, do not round up.Change all the digits after the thousands place to zero.The rounded number is 38,000, which contains three zeros.The ratio of boys to girls in Mr.Watson’s class is 2 to 3. There are 18 girls in his class. What is the total number of students in the class?
If the ratio of boys and girls were the same in the whole school, would it be possible that there were a total of 306 boys and 459 girls in the entire school? Why or why not?
Let's read this in a more proper way.
The number of boys in Mr. Watson's class is 2/3 the number of girls. So:
[tex]18 * \frac{2}{3} = 12\\18 + 12 = 30[/tex]
There are 30 students in Mr. Watson's class.
For this ratio to be in true in the second problem (306 boys, 459 girls), 306 must be 2/3 of 459.
[tex]459 * \frac{2}{3} = 306[/tex]
The ratio holds true for the second problem.
30 students,
Yes it is possible, because 306 is 2/3 of 459.
A train travels 70 kilometers in 4 hours, and then 55 kilometers in 3 hours. What is its average speed?
Answer:
Distance = 70 + 55 = 125 kilometers
Time = 4 + 3 = 7 hours
Rate = Distance / Time
Rate = 125 / 7 = 17.8571428571 kilometers per hour
Step-by-step explanation:
The average speed:
[tex]v=\dfrac{total\ distance}{total time}[/tex]
We have
total distance = 70 km + 55 km = 125 km
total time = 4 h + 3 h = 7 h
The average speed:
[tex]v=\dfrac{125\ km}{7\ km}\approx18\ \dfrac{km}{h}[/tex]
a car travels at an average speed of 60 mph on a trip what is the car speed in feet per second
Answer: 88 Feet Per Second
Step-by-step explanation:
Firstly you need to know 3 things:
> 60 mph = 60 Miles Per Hour
> 1 Hour = 60 mins = 60*60 = 3600 seconds
> 1 Mile = 5280 feet
Next you can change the miles to feet and hours to seconds.
60 mi/ 1 hour = 60*5280/ 3600 = 316800ft/ 3600sec
Now time to reduce that big fraction! (Or in this case just divide by 3600 sec)
316800ft/ 3600sec
= 88ft/1sec
= 88 Feet Per Second
Hope that helps!
PLZ HELP OR I FAIL MY TEST
This is a application question.
A speedboat takes 1 hour longer to go 24 miles up a river than to return. If the boat cruises at 10 miles per hour in still water, what is the rate of the current?
PLEASE DO SHOW WORK.
Answer:
time upstream=24/8=3 hours
time downstream=24/12=2 hours
Step-by-step explanation:
If R*T=D, and R is speed + or - current, how can you find the rate without the time, and how can you find the time without the rate?
THE KEY WAS WHEN WE WERE TOLD THAT IT TAKES ONE HOUR LONGER TO GO UPSTREAM THAN DOWNSTREAM BECAUSE T=D/R AND WE ARE TOLD THAT:
D/R(Upstream) minus 1 equals D/R (DOWNSTREAM)
Let x=rate of current
distance(d)=rate(r) times time(t) or d=rt or t=d/r
distance upstream=distance downstream=24 mi
rate upstream=10-x
rate downstream=10+x
time upstream=(distance upstream)/(rate upstream)=24/(10-x)
time downstream=(distance downstream)/(rate downstream)=24/(10+x)
Now, we are told that time upstream minus one hour equals time downstream. So our equation to solve is:
24/(10-x)-1=24/(10+x) Multiply both sides by (10-x)(10+x)
24(10+x)(10-x)/(10-x)-1(10-x)(10+x)=24(10-x)/(10+x)/(10+x) clear fractions
24(10+x)-(10-x)(10+x)=24(10-x) clear parens
240+24x-100-10x+10x+x^2=240-24x subtract 240 from and add 24x to both sides
240-240+24x+24x-100+x^2=240-240-24x+24x collect like terms
x^2+48x-100=0 ----------------quadratic equation in standard form
This equation can be factored:
(x+50)(x-2)=0
x=-50 mph----------------discount the negative value for speed
and
x=2 mph----------------------speed of the current
CK
10-x=10-2= 8 mph -----------------------speed upstream
10+x=10+2=12 mph--------------------------speed downstream
time upstream=24/8=3 hours
time downstream=24/12=2 hours
so 3-2=1----takes 1 hour longer upstream
If ABE is similar to ACD what is the value of AB
AB corresponds to AC. Both are the left diagonal lines of triangle ABE and triangle ACD. Both AB and AC are also the first two letters of ABE and ACD respectively
BE and CD correspond as well. They are the horizontal sides of the two triangles. BE and CD are the last two letters of ABE and ACD.
Set up the proportion below. Then solve for x
AB/AC = BE/CD
AB/(AB+BC) = BE/CD
x/(x+3) = 2/5
5x = 2(x+3)
5x = 2x+6
5x-2x = 6
3x = 6
x = 2
Answer: AB = 2
note how AB = x = 2, so AC = AB+BC = x+3 = 2+3 = 5. This forms the ratio AB/AC = 2/5 which is identical to the ratio BE/CD = 2/5
To find the value of AB in the similar triangles ABE and ACD, use the ratio of the corresponding sides.
Explanation:Given that ∆ABE is similar to ∆ACD, we can write the ratio of the corresponding sides: AB/AC = AE/AD = BE/CD. Note that corresponding sides of similar triangles are proportional. Therefore, the value of AB can be determined by the ratio AB/AC.
For example, if the length of AC is 10 units and the ratio AB/AC is 3/5, we can find the length of AB by multiplying 10 by 3/5: AB = (3/5) * AC = (3/5) * 10 = 6 units.
So, the value of AB depends on the specific information given about the ratios of the sides of ∆ABE and ∆ACD.
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Beanbag chairs it normally sell for $36.30 on sale for $32.12 find the percent of discount
Answer:
Step-by-step explanation:
Answer:
Rounding, we get 11.5 percent
Step-by-step explanation:
To find the percent of discount, we take the original price, subtract the new price, and divide by the original price. Then multiply by 100 for the percent.
percent discount = (original - new)/ original * 100
percent discount = (36.30-32.12) /36.30 * 100
percent discount = (4.18) /36.30 * 100
percent discount = .115151515 * 100
percent discount = 11.51515 percent
Rounding, we get 11.5 percent
1,8,27,64._,_,_,_,_
What is the sequence?
Answer:
It is a sequence of integers cubed.
1^3 = 1
2^3 =8
3^3 = 27
4^3 =64
5^3 = 125
6^3 = 216
Step-by-step explanation:
Write a function rule for the relationship. the amount c of energy you burn and the time t you spend exercising, if you burn Calories at a rate of 12 Cal/min
ct = 12
c = 12t
t = 12c
t= 12/c
Answer:
c= 12t
c is the amount of energy you burn, so it'll be the "solution" to the equation. Multiply 12 times the amount of time you spend exercising to find how much energy you'll burn.
Find the common denominator by multiplying each fraction by the other fraction's denominator. Choose < or > for the blank.
3/5
[_]
3/8
Place these from smallest to largest 4.5 -1 -3 -3.5 and 3
Answer:
4.5 3.5 3 -1 -3
Step-by-step explanation
the first number of the decimal is the whole number which means 4.5 and 3.5 are the 2 largest and for negative numbers. if the number is further away from zero that number is smaller.
For example
-15 is less that -1
this is so because the 15 is further away from the zero than the one
in a race there are 15 Runners the trophies for the race are awarded to the races finish and 1st through 3rd place and how many ways can first through third place be determined
Answer:
There are 2,730 ways that 1st, 2nd and 3rd place can be determined in the race
Step-by-step explanation:
There are 15 (number of runners) possibilities to determine the 1st place
There are 14 possibilities (number of runners - 1) to determine the 2nd place
There are 13 possibilities (number of runners - 2) to determine the 3rd place
Number of ways that 1st, 2nd and 3rd place can be determined = 15 * 14 * 13
Number of ways that 1st, 2nd and 3rd place can be determined = 2,730
The percent of tom's budget he spends on different types of expenses is shown in the circle graph above.tom's total monthly budget us $2,500.how much does he spend on groceries?
rent is 30 percent
other is 15 percent
groceries is 25 percent
savings is 30 percent
(use proportions)
Answer:
Groceries is 625 a month
Step-by-step explanation:
25 percent of 2500 is 625. To get this answer take the percent and go back 2 decimal places this will turn 25% into 0.25 then multiply 2500 by 0.25 and the answer is 625. This also is the same with the other values. 0.30 0.15 etc.
Answer:
Groceries is 625 a month.(A lot of food for a single)
Step-by-step explanation:
Jennifer has 7 red marbles and blues marbles. how many marbles does she have?
For this case we must find the number of marbles that Jennifer has.
Let T be the variable that determines the number of total marbles that Jennifer has.
Let x be the variable that represents the number of red marbles that Jennifer has. So, [tex]x = 7[/tex]
Let y, the variable that represents the number of marbles blues Jennifer has. So, [tex]y = 7[/tex]
To find the value of T, we must add the variables x and y.
So, [tex]T = x + y[/tex]
[tex]T = x + y[/tex]
[tex]T = 7 + 7\\T = 14[/tex]
So, Jennifer has 14 marbles.
Answer:
14 marbles
The Han dynasty lasted from 206 B.C. to 9 A.D. How many years did the dynasty last?
Answer:
The Han dynasty last was, 215 years
Step-by-step explanation:
Given statement: The Han dynasty lasted from 206 B.C. to 9 A.D.
To find how many years did the dynasty last.
B.C. represents Before Christ
A.D. represents After Death
To find the difference between two dates,
When the endings are the same you subtract When they are different you addYou can see that the endings in the given 206 B.C. and 9 A.D. are B.C. and A.D. are different.
Just add these 206 and 9 we get;
[tex]206 + 9 = 215[/tex] years
Therefore, 215 years did the Han dynasty last.
The entry fee to the fair is $4.00. Each ride requires a ticket that cost $0.50. Heidi spent a total of $12.00. How many ticket did Heidi purchase?
Answer:
16 tickets
Step-by-step explanation:
The entry fee ($4) is to be subtracted from the total that Heidi spent ($12). This leads to $8 left for spending on tickets.
Let the number of tickets Heidi purchased be x. Then:
$8.00 = ($.50/ticket)x.
Dividing both sides by $0.50,we get 16.
Heidi bought 16 ride tickets.
HELP ASAP! WILL MARK
what is the value of the 3 in parenthases [3]45,423,912
Answer:
300,000,000
Step-by-step explanation:
change everything after the 3 to a zero, hope this is the answer you are looking for
What is the slip of a line that is parallel to the line -3
Answer:
-3
Step-by-step explanation:
Parallel lines have slopes that are the same.
So if one line has a slope that is -3, any line that is parallel will have the same slope
A paper company produces 3,320 notebooks in 4 days. How many notebooks can it produce in 12 days?
A.
9,906
B.
1,992
C.
9,960
D.
3,139
Answer:
C. 9960
Step-by-step explanation:
Who runs the fastest ? Help
Answer:
Emily
Step-by-step explanation:
I made all the runners times into minutes. So Adam ran 450 feet in one minute (9 × 60), Jake ran 696 feet in 1 minute (If you divide 383 by 33 you get 11.6, then you multiply 11.6 by 30 to get 348 and then 348 × 2 is 696), Ron ran 528 in a minute (1 mile = 5280 feet and 600 seconds is 10 minutes), and Emily ran 755 feet in 1 minute. So your answer is Emily because she ran the most distance in 1 minute.
Which is the equation for the linear function f in the form f(x)=mx+x that has the given values f( 1)=2,f(8)=23
f ( x ) = 3 x − 1
Hope that helps
In One hour a bakery sold five muffins and nine bagels for a total of $25.50 the next hour the bakery sold three muffins and 12 bagels for a total of $28.50 let M represent the price of one muffin and B represent the cost of one bagel Draco wrote the following system of linear equations to solve for the cost of each item.
5m+9b=28.50
3m+12b=25.50
What is Draco’s error?
A.) Draco should have set the first equation equal to 25.50 and the second equation equal to 28.50.
B.) Draco should have written the first equation as 3m+9b= 25.50.
C.) Draco should have written 9b in the second equation and 12b in the first equation.
D.) Draco should have written the second equation as 5m+12b=28.50.
Answer:
Option A is the correct choice.
Step-by-step explanation:
We have been given the system of linear equations written by Draco. We are asked to find Draco's error.
Let us form a system of equations using our given information.
Let m represent the price of one muffin and b represent the cost of one bagel.
We are told that in one hour a bakery sold five muffins and nine bagels for a total of $25.50. We can represent this information in an equation as:
[tex]5m+9b=25.50...(1)[/tex]
The next hour the bakery sold three muffins and 12 bagels for a total of $28.50. We can represent this information in an equation as:
[tex]3m+12b=28.50...(2)[/tex]
Now let us see system of equations written by Draco.
[tex]5m+9b=28.50[/tex]
[tex]3m+12b=25.50[/tex]
We can see that Draco has set the price of 5 muffins and 9 bagels equal to $28.50, which is the price of 3 muffins and 12 bagels.
Therefore, Draco should have set the first equation equal to 25.50 and the second equation equal to 28.50. The correct choice is option A.
if a triangle has a perpendicular, does that mean it is an equilateral triangle?
Harley is riding her bicycle 10.8 miles from her house to work. If she rides at a speed of 15 miles per hour, how long will it take Harley to arrive at work?
Answer:
Step-by-step explanation:You can first divide 15 by 5, which equals 3.Then multiply that by 10.8.which gives 32.4. Then divide by 5 which would give you 2.16. Hopefully it helps?!
Also if it is right,Please make me brainliest!!!!!!!!!!!!!!!!!!!
Answer:
43.2 minutes PLEASE GIVE BRAINLIEST
Step-by-step explanation:
10.8 ÷ 15 = .72 (72%)
Now find what 72% of an hour is:
60 x .72 = 43.2
43.2 minutes
What is the correct answer?
Answer:
thousands place?
Step-by-step explanation:
169.866666667
9 in tenths place
6 in hundredths place
1 is in the thousands place
Work out 2 3/5 x 3 1/3
Answer:
26/3 or if you want it simplified its 8 2/3 im not sure if you need it in decimals so i thought id write it anyway 8.666667
Step-by-step explanation:
1) Conversion a mixed number to a improper fraction
2) Conversion the other mixed number to a improper fraction
3) Multiply both numerators and denominators. Result fraction keep to lowest possible denominator
The value of [tex]2 \frac{3}{5} * 3 \frac{1}{3}[/tex] = 263 = 8 23 ≅ 8.6666667.
Improper fraction.Given:
[tex]2 \frac{3}{5} * 3 \frac{1}{3}[/tex]
1) Conversion of a mixed number to an improper fraction.
2) Conversion of the other mixed number to an improper fraction.
3) Multiply both numerators and denominators. The result fraction keeps to the lowest possible denominator.
Therefore, the value of [tex]2 \frac{3}{5} * 3 \frac{1}{3}[/tex] is 8.6666667.
To learn more about improper fraction
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Find the area of a circle who is diameter is 27 inches(use 3.1416)
Answer: The area is 572.5566
Step-by-step explanation:
27÷2=r=13.5
A=πr²
A=3.1416(π) · 13.5²(r)
A=572.5566
Answer:
Given:
Diameter= 27 inches
radius= d/2
=27/2
=13.5
Area of Circle = [tex]\pi[/tex] r² = [tex]\pi[/tex]×(13.5)² = 572.6 inches²PLEASE PLEASE HELP
Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30.
Let x represent the entry fee and y represent the cost of each ticket in dollars.
Write an equation representing how much Gwen paid.
Answer:
(Y × 10) + X = 30
hope it helps
Step-by-step explanation:
Y = Cost of each ticket
X = cost of entry fee
so he bought 10 tickets
so you multiply cost of each ticket ( y ) by 10
then you add the entry fee ( x ) to find the total cost ( $30 )
Evaluate 5^-2
A. 1/25
B. -10
C. 1/10
D. -25
Answer:
Hello from MrBillDoesMath!
Answer:
Choice A. (1/25 )
Discussion:
The caret symbol, "^", denotes "exponentiation". So
5 ^-2 = (1/5)^2 = (1/5)* (1/5) = 1/25
Regards,
MrB
which answer is equivalent to 25/36
Answer:
C. [tex]\sqrt{\frac{25}{36} }[/tex]
Step-by-step explanation:
This comes from the property of exponents which says for any numbers [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex],
[tex](a*b)^c=a^c*b^c[/tex]
Since square roots are just exponents of [tex]\frac{1}{2}[/tex] power ([tex]\sqrt{x} =x^\frac{1}{2}[/tex]), and [tex]\frac{1}{x} =x^{-1}[/tex], we have
[tex]\frac{\sqrt{25}}{\sqrt{36} }=25^{\frac{1}{2} }*36^{-\frac{1}{2} }=25^{\frac{1}{2} }*(36^{-1})^{\frac{1}{2} }=(25*(36^{-1})})^{\frac{1}{2}[/tex]
[tex]=\sqrt{25*36^{-1}} =\sqrt{\frac{25}{36} }[/tex]
Which is choice C.
Answer:
the guy is correct
Step-by-step explanation:
i got it right on apex