Answer:
The Answer for this question in scientific notation is:
2.5e+14
Answer:
5 · [tex]10^{13}[/tex]
Step-by-step explanation:
hope this helps
Sally and Joan were able to dust the house in 3 hours together. It takes Joan 10 hours to finish the same job alone. Without help, how long would it take Sally to finish the same job ?
Answer:
4.3 hours
Step-by-step explanation:
Let the number of hours Sally does a job = x
Let the number did hours Joan does a job be equal to y
Sally and Joan were able to dust the house in 3 hours together.
1/x + 1/y = 1/3
It takes Joan 10 hours to finish the same job alone.
Hence,
1/x + 1/10 = 1/3
1/x = 1/3 - 1/10
Least common dey = 30
1/x = 10 - 3/30
1/x = 7/30
Cross Multiply
x × 7 = 30
7x = 30
x = 30/7
x = 4.2857142857 hours
Approximately = 4.3 hours
Without help, it would take Sally 4.3 hours to finish the same job.
The average of your 3 quiz grades is 17 points. Two of your quiz grades are 14 points and 19 points. Write and solve an equation to find the score of your third quiz.
Answer:
The equation required is [tex]17=\frac{14+19+Grade \ of \ Quiz \ 3}{3}[/tex] and Grade of quiz 3 is 18
Step-by-step explanation:
We are given
Average of 3 quiz grades = 17
Grade of quiz 1 = 14
Grade of quiz 2 = 19
We need to find Grade of quiz 3
The formula used will be: [tex]Average \ of \ 3 \ quiz \ grades = \frac{Grade \ of \ Quiz \ 1+Grade \ of \ Quiz \ 2+Grade \ of \ Quiz \ 3}{3}[/tex]
Using formula and finding the grade of quiz 3
[tex]Average \ of \ 3 \ quiz \ grades = \frac{Grade \ of \ Quiz \ 1+Grade \ of \ Quiz \ 2+Grade \ of \ Quiz \ 3}{3}\\17=\frac{14+19+Grade \ of \ Quiz \ 3}{3} \\17*3=14+19+Grade \ of \ Quiz \ 3\\51=33+Grade \ of \ Quiz \ 3\\Grade \ of \ Quiz \ 3=51-33\\Grade \ of \ Quiz \ 3=18[/tex]
So, The equation required is [tex]17=\frac{14+19+Grade \ of \ Quiz \ 3}{3}[/tex] and Grade of quiz 3 is 18
In December of 2003, the average price for a gallon of regular gas in the United States was $1.50.
b. Is the relationship between number of gallons and cost proportional? Explain.
Answer:
yes
Step-by-step explanation:
because the cost stays the same and you would multiply blank gallons of gas by 1.50 every time so it is proportional. For example: it would be $1.50 to 1 gallon, $3 to 2 gallons, $4.50 to 3 gallons and would keep going like that, adding the same amount every time
is 2.6666666667 a rational number
Answer:
No.
Step-by-step explanation:
I believe that the number above is irrational, because it repeats.
Camila started reading a 500 page book. She read of the book in hour. What is the maximum number of pages can she read in hour if she reads at the same rate?
A.
10 pages
B.
15 pages
C.
40 pages
D.
20 pages
Answer:
Need more information
Step-by-step explanation:
I need to know what percentage/fraction of the book she read in 1 hour or any other information about the rate she is reading
Jan's flower garden has only daffodils and tulips
in it. There are 15 dallodils and 12 tulips. What
is the ratio of the number of tulins to the total
number of flowers in Jan's garden?
What is the solution of |x − 1| + 2 = 4? Enter your answers from least to greatest in the boxes
Answer:
down
Step-by-step explanation:
are there options
Calculate the perimeter for the given figure.
8 ft
8.5 14
.ft
10 11
A. 16.5 feet
B. 25.5 feet
C: 26,5 feet
D. 26.5 feet
Answer:
the answer is C and D because perimeter is the sum of all sides of a figure
.A carpenter bought some wood for #900. He used the wood to make a shelf which he sold for #3000. What percentage profit was this?. Single choice.
42.86%
233.33%
2100%
900%
Answer:
233.33%
Step-by-step explanation:
His profit is 233.33%.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Here, given that,
A carpenter bought some wood for #900.
He used the wood to make a shelf which he sold for #3000
Profit= #(3000-900)
=#2100
So, percentage of profit = 233.33%
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The temperature in Anchorage, Alaska was -3°C in the afternoon. After the sun went down, the temperature dropped 6 degrees. Write an equation to represent the situation. What was the temperature after the sun went down? ( 3 points )
Answer:
-9
Step-by-step explanation:
-3 - 6
-3 + -6
-9
hope this helps!
If 3x - 6 = 21, what is the value of x - 2 ?
The value of x - 2 in the equation 3x - 6 = 21 is 7.
What is an equation ?An equation is comparing two equal quantities in different form.Equations can be of many types like algebraic equation, logarithmic equation,trigonometric equations, exponential equations.We can also graph this equations in 2 dimensional and 3 dimensional plane.
According to the question given an equation 3x - 6 = 21 first we have to solve for x or find the value of x.
∴ 3x - 6 = 21.
3x = 21 + 6.
3x = 27.
x = 27/3.
x = 9.
So, the value of (x-2) will be (9-2) = 7.
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Which of the following lists is in order from least to greatest?
V5.4,32,-2.
-2, 5, 4, 32
-2, 4, 3², 5
2, 32, 4, 5
Answer:
second one
Step-by-step explanation:
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Which of the following could represent a diver’s position in relation to the surface of the water after diving into a pool? Select all that apply.
3 meters
-2 meters
-3.1 meters
1 and StartFraction 7 over 8 EndFractionmeters
Negative 2 and one-halfmeters
Answer:
-2, -3.1, -2.5
Step-by-step explanation:
Since the diver dived into the pool, they are below the surface (assuming it is an inground pool). So the correct answers will be the negative answers.
The numbers to represents a diver’s position in relation to the surface of the water after diving into a pool is;
-2 meter
-3.1 meter
Negative 2 and one-half meters
Given that;
A diver’s position is in the surface of the water diving into a pool.
We have to find number to represents a diver’s position in relation to the surface of the water after diving into a pool.
What is Negative number?
A number less than zero is called the negative number.
A diver’s position is in the surface of the water diving into a pool.
Since, Diving into a pool is represents negative number.
Hence, The number to represents a diver's position is in negative sign.
So, The numbers are;
⇒ -2 meter
⇒ -3.1 meter
⇒ Negative 2 and one-half meters.
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0.608 meter long. The average Chuckwalla is 0.395 meter long. How many times as long is the Gila Monster as the Chuckwalla, to the nearest hundredth?
Complete question :
The two largest lizards in the United States are the Gila monster and the Chuckuwalla. The average Gila monster is 0.608 meter long. The average Chuckwalla is 0.395 meter long. How many times as long is the Gila Monster as the Chuckwalla, to the nearest hundredth?
Answer:
1.54 times
Step-by-step explanation:
Given that:
Average length of Gila monster = 0.608 meter
Average length of chuckwalla = 0.395 meter
Number of times the Gila monster is than the Chuckuwalla :
Average Length of Gila monster / average Length of chuckwalla
= 0.608 meter / 0.395 meter
= 1.5392405 times
= 1.54 times
[tex] {x}^{ 2} + 4x - 21[/tex]
I'm trying to solve for x but I dont understand and need help
set of integers between -4 and 4
Answer:
-3, -2, -1, 0, 1, 2, 3
Step-by-step explanation:
If a turkey weighs 16 pounds, how many calories does it have? (remember there are
170 calories in 4 ounces of turkey)
between 2002 and 2008, more than 26 cubic miles of groundwater disappeared. how much water has disappeared per year
Explanation:
2008 - 2002 = 6 years have passed
In that time frame, we lost 26 cubic miles of ground water.
This means we lost about 26/6 = 4.333 cubic miles of ground water per year.
put x^2+15x+56 and make it into a word problem!
1) (-8,-8), (8,4)
Find the slope of the line through each pair of points
Answer: 3/4
Step-by-step explanation:
Which set is not closed under addition
A. Natural numbers
B. Even integers
C. Odd numbers
D. Whole numbers
Gabriel cycles 1,200 meters in 6 minutes. What is his speed?
just need 5 and 6 done due in 20 minutes plz help
Step-by-step explanation:
5. Let the equation of the line be y = mx + c
m = (6-15)/(2-(-1)) = -3
sub (2, 6) and m = -3:
6 = -3(2) + c
c = 12
Equation of the line: y = -3x + 12
6. Let the equation of the line be y = mx + c
y-intercept of 7 means c = 7
y = mx + 7
x-intercept: value of x when y = 0
therefore, sub (4, 0):
0 = m(4) + 7
m = -7/4
Equation of the line: y = -7/4x + 7
this is a topic on coordinate geometry. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting the notes for this topic soon and will also be posting other topics' notes and some tips :)
4. What is the slope of a line that is parallel to the line described by 3x + 2y = 8?
a.
m = 3
b.
m= 3/2
c.
m= -3/2
d.
m= 2
the ratio of the measures of the angles of a triangle is 1:2:3 find the measure of each angle
Answer: 30, 60, 90
Step-by-step explanation: 30 * (1:2:3)
30+60+90 =180
Sum of all angles of a triangle is 180
Use the inverse variation equation to fill in the table.
Answer: a= 0.1 b=20.775 c=0.02
Step-by-step explanation:
just got it right on edg
A snack bar at an outdoor fair is open from 10 A.M. To 5:30 P.M. And has 468 bottles of water for sale. Sales average 1.3 bottles of water per minute.
Answer:
the question is incomplete, so I looked for similar ones
the number of bottles of water remaining as a function of time:
f(x) = -78x + 468
1.3 bottles are sold per minute x 60 minutes per hour = 78 bottles per hour
x = number of hours
the slope is -78
the y intercept is 468
domain = 0 ≤ x ≤ 7.5 hours (from 10 AM to 5:30 PM)
range = 0 ≤ y ≤ 468 bottles
the snack will run out of bottles of water by 4 PM
78x = 468
x = 468 / 78 = 6 hours
if the snack wants to have enough bottles of water to serve all its customers, it will need:
78 x 7.5 hours = 585 bottles of water
The link between the bases on a basketball field is 93 a scale drawing shows the distance between the Bases as 1 1/2 to 1 inch on the drawing equals how many feet
Answer:
Distance on drawing is 11.7 feet.
Step-by-step explanation:
A scale is a factor that can be used to either increase or decrease the size of an object.
Scale = [tex]\frac{distance on drawing}{original distance}[/tex]
Given that:
scale = [tex]\frac{3}{2}[/tex] to 1 inch, and the original distance = 93 inches
So,
[tex]\frac{3}{2}[/tex] : 1 = [tex]\frac{distance on drawing}{93}[/tex]
[tex]\frac{3}{2}[/tex] ÷ 1 = [tex]\frac{distance on drawing}{93}[/tex]
[tex]\frac{3}{2}[/tex] x [tex]\frac{1}{1}[/tex] = [tex]\frac{distance on drawing}{93}[/tex]
distance on drawing = [tex]\frac{3*93}{2}[/tex]
= [tex]\frac{279}{2}[/tex]
= 139.5
distance on drawing = 139.5 inches
Since 12 inches = 1 foot, then;
Distance on drawing in feet = [tex]\frac{139.5}{12}[/tex]
= 11.625 feet
Distance on drawing is 11.7 feet.
PLease help me find the unit rate for $140 for 18 ft
Answer:
Step-by-step explanation:
So,
$140 Dollars per 18 feet
Divide by 18 on both sides
140/18=18/18
140/18 is equal to 7 and 2/9
The answer is 7.77777778