1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VMariaS [17]
3 years ago
5

A city has two water towers. One tower holds 7.35 x 10 with an exponent of 5, gallons of water and the other tower holds 9.78x 1

0 with an exponent of 5, gallons of water. What is the combined water capacity of the two towers?
Mathematics
2 answers:
elena55 [62]3 years ago
8 0
Sum with scientific notation. We just ignore the 10^5, because the two numbers have the same exponent and repeat it on the result of the normal sum between the numbers.

But, for example, if we had:

-> 5 x 10^4 + 5 x 10^5

We would need to equal the exponents to do the sum without having to multiply all those tens.

5 x 10^4 + 50 x 10^4
= 55 x 10^4

or 0.5 x 10^5 + 5 x 10^5
= 5.5 x 10^5

*They are the same results.

Now returning to the question:

-> 7.35 + 9.78 = 17.13
-> 17.13 x 10^5

You can prove it yourself:

-> 7.35 x 10^5 = 735,000

-> 9.78 x 10^5 = 978,000

-> 735,000 + 978,000 = 1,713,000

Or: 1713 x 10^3 or 17.13 x 10^5

Answer: The combined capacity of the two tower is 17.13 x 10^5 gallons of water.
Pavlova-9 [17]3 years ago
5 0

Answer:

the answer is actually 1.713x10^6

Step-by-step explanation:

You might be interested in
A ladder 10 m long,leans against a vertical wall at an angle of 70° to the ground.if the ladder slips down the wall 4m,find,corr
lina2011 [118]

Answer:

(a) the new angle the ladder makes with the ground is 32.7^o

(b) the ladder slipped back about 5 meters

Step-by-step explanation:

Notice that the ladder doesn't change its length in the process.

So let's start from the initial situation , finding the distance from the ground at which the ladder touches the wall when the angle with the ground is 70^o. Notice that this situation is represented by a right angle triangle with the right angle between the wall and the ground (see attached image), and that we can use the sine function to find the side opposite to the 70 degree angle:

sin(70^o)=\frac{opposite}{hypotenuse} \\sin(70^o)=\frac{h}{10}\\h=10\, sin(70^o) \approx 9.4 \,\,m

therefore 9.4 meters is approximately the height at which the ladder touches the wall initially.

Now, if the tip of the ladder goes down the wall 4 meters, it is now at 9.4 m - 4 m = 5.4 m from the ground. We can therefore use again the sine function to solve for the new angle:

sin(x)=\frac{opposite}{hypotenuse} \\sin(x)=\frac{5.4}{10} \\sin(x)=0.54\\x=arcsin(0.54)\\x= 32.7^o

To answer the second question we need to find the original distance from the wall that the bottom of the ladder was originally, and for that we can use the cosine function:

cos(70^o)=\frac{adjacent}{hypotenuse} \\cos(70^o)=\frac{x}{10}\\x=10\,cos(70^o)\\x\approx 3.4  \,\,m

Now fro the new position of the bottom of the ladder relative to the wall:

cos(32.7^o)=\frac{adjacent}{10} \\adjacent=10\,cos(32.7^o)\\adjacent\approx 8.4\,\,m

then the difference in between those two distances is what we need:

8.4 m - 3.4 m = 5 m

4 0
3 years ago
A blueprint scale is 1/4 in=1ft. If the blueprint measurement is 2in x 1in, what should you cut?
emmainna [20.7K]
8ft by 4ft.

This is because there are 8/4 and 4/4 to make up the blueprint. Therefor you have to multiply the factor by 8 and 4. 
4 0
3 years ago
Make up an equation of the form y = kx +b, the graph of which passes through the following points: A (8, –1) and B (–4, 17)
igor_vitrenko [27]

Answer:

One equation would be y= -1.5x +11

Step-by-step explanation:

Here's a table to show the coordinates

x:             y:

8              -1

-------------------

-4             17

the x coor. 8  goes down by 12 to get to the next x coor. -4.

8-12= -4

the y coor. -1 goes up by 18 to get to the next y coor. 17.

-1+18= 17

therefore 18/-12 is -1.5 which can be your k in y=kx+b.

Check your answer.

-1.5*8= -12 but when you add 11, you get the y coor. -1

Do the same with the other x coor.

-4*-1.5= 6 + 11 =17

11 can be your b in the slope-intercept form equation.

One equation may be y = -1.5x +11

4 0
3 years ago
HURRY!! WHOEVER ANSWERS FIRST WILL BE THE BRAINLIEST!!
beks73 [17]
These answers are all the same equation :/ they are all right, they all go right through the point :/
4 0
3 years ago
30 pts AWNSER ASAP In 2 hours, Nolan can bake 5 1/2 dozen cookies. What is his unit rate in dozen cookies per hour?
seraphim [82]

Answer:

2 3/4 dozen cookies per hour

Step-by-step explanation:

To find his unit rate per hour, divide 5 1/2 by 2:

5.5/2

= 2.75 or 2 3/4 dozen cookies

So, his unit rate in dozen cookies per hour is 2 3/4

6 0
3 years ago
Other questions:
  • Choose the correct classification of 5x + 3x4 − 7x3 + 10 by number of terms and by degree.
    10·2 answers
  • The probability density function for random variable W is given as follows: Let x be the 100pth percentile of W and y be the 100
    13·1 answer
  • Choose all the options that describe the result of the multiplication
    7·2 answers
  • How many times can 15 go into 19
    11·2 answers
  • Can you please help me and quick​
    6·2 answers
  • Stress falls into two categories: _____ and _____. A.eustress and distress
    13·1 answer
  • 2.5 more than quotient of a and 4 is b
    15·1 answer
  • Can someone help me pls?
    5·1 answer
  • Solve the area of a rectangle formula for the width of the rectangle. A = LW
    10·2 answers
  • Simplify each of the the following expression
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!