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
kari74 [83]
3 years ago
11

2.4.5

Mathematics
1 answer:
worty [1.4K]3 years ago
5 0

Answer:

150 miles

Step-by-step explanation:

let m represent miles

$70 + .70m = $40 + .90m

subtract 40 from each side

$30 + .70m = .90m

subtract .70m from each side

$30 = .20m

divide both sides by .20

150 = m

You might be interested in
The sum of the circumference of a circle and the perimeter of a square is 24. Find the dimensions of the circle and square that
lyudmila [28]

Answer:

The radius of the circle is r=1.68\ units

The length of the square is x=3.36\ units

Step-by-step explanation:

we know that

The circumference of a circle is equal to C=2\pi r

The perimeter of the square is equal to P=4x

so

24=2\pi r+4x

Simplify

12=\pi r+2x

x=(12-\pi r)/2 -----> equation A

The area of a circle is equal to A=\pi r^{2}

The area of a square is A=x^{2}

The total area is equal to

At=\pi r^{2}+x^{2} -----> equation B  

substitute equation A in equation B

At=\pi r^{2}+[(12-\pi r)/2]^{2}

This is a vertical parabola open upward

The vertex is the minimum

The x-coordinate of the vertex is the radius of the circle that produce a minimum area

The y-coordinate of the vertex is the minimum area

Solve by graphing

The vertex is the point (1.68, 20.164)

see the attached figure

therefore

The radius of the circle is

r=1.68\ units

Find the value of x

x=(12-\pi r)/2

assume

\pi =3.14

x=(12-(3.14)*(1.68))/2

x=3.36\ units

8 0
3 years ago
The perimeter of the base of a square pyramid is 16 feet and it stands 20 ft tall. Calculate the volume.​
Vikentia [17]

Answer: 1706.67 feet

Step-by-step explanation:

Formula: Volume = \frac{1}{3} \alpha^{2}h

a is the length of the base's edge and h is the height. Since 16 is the length we would square it as it is the length, then we would multiply it by the height which is 20 ft.

<u>Steps: Multiply</u>

Volume = \frac{1}{3} \alpha^{2}h

= \frac{1}{3} * 16^{2} * 20

= 1706.67 feet

~I hope I helped you :)~

6 0
3 years ago
What dimensions do you need to find the volume of a cone?
Sergio [31]

Answer: Review the picture. This is the formula.

Step-by-step explanation: Just multiply the terms and you’ll get the volume. Remember to not measure the diameter but half of that which is the radius! I hope this helps but please comment down below if you need more help!

4 0
3 years ago
Read 2 more answers
Ken is thinking of a number. Nine more than the product of 4 &amp; the number is 73. Find Ken's number.
motikmotik

Answer:

x = 16

Step-by-step explanation:

Let the unknown number be x.

Translating the word problem into an algebraic expression, we have;

4x + 9 = 73

4x = 73 - 9

4x = 64

x = 64/4

x = 16

Therefore, the unknown number is 16.

3 0
3 years ago
A metal alloy is 25% copper. Another metal alloy is 50% copper. How many grams of the 50% copper alloy should be used to make 10
Elis [28]
Well if the alloy makes the 1000 grams, but you are dealing with copper that isn't even 100% copper, than you either need 55% more copper, which isn't given, which means you really need 550 grams of alloy copper.
5 0
3 years ago
Other questions:
  • 38/6 converted to a mixed number
    13·2 answers
  • Reduce the following fraction to lowest terms 49/105
    6·2 answers
  • line p passes through points (2,13) and (9,8). line q is perpendicular to p what is the slope of line q?
    6·1 answer
  • Determine which relation is a function.
    6·2 answers
  • Greg has $56. Tom has $17 more than Greg. Jason has 8 less than Tom.How much money dose Jason has
    15·2 answers
  • Where are the negative rational numbers placed on a vertical number line?
    12·2 answers
  • 2mn – 5z + 7<br><br> PLEASE HELP!!
    11·2 answers
  • HELP!can somebody give me the answer then explain how they did and if you cheated tell me how you cheated lol
    10·1 answer
  • The leg of a right triangle is 2 units and the hypotenuse is 3 units. What is the length, in units, of the other leg of the tria
    7·2 answers
  • HELP ASAP<br><br> 0.9 x ___=0.27
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!