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
makvit [3.9K]
3 years ago
7

Answer as many as possible please need work for brainilist

Mathematics
1 answer:
zysi [14]3 years ago
6 0

Answer:

1. 18x + 35y = 598

  x + y = 20

  Isolate a variable in the second equation:

  y = -x + 20

  Plug y back into the first equation

  18x + 35(-x + 20) = 598

  18x - 35x + 700 = 598

  -17x +700 = 598

  -17x = -102

   x = 6

   <u>You carpool 6 days of the 20</u>

   6 + y = 20

   y = 14

   <u>You ride the bus 14 days of the 20</u>

2.   4.50n + 3p = 252

     p = 2n

     Substitute p into the first equation

     4.50n + 3(2n) = 252

     4.50n + 6n = 252

      10.5n = 252

      n = 24

      <u>They sold 24 cans of nuts</u>

      p = 2(24)

      p = 48

      <u>They sold 48 boxes of popcorn</u>

      <u>The group sold, in total, 24 + 48 = 72 cans of nuts and boxes of popcorn. </u>

3.  x - y = 3

    x + y = 8

    Isolate a variable

    x = y + 3

    (y + 3) + y = 8

    2y + 3 = 8

    2y = 5

    y = 2.5

    <u>The average speed with wind is 2.5 mph</u>

    x - 2.5 = 3

    x = 5.5

    <u>The average speed without wind is 5.5mph </u>

4. x + 8y = 22.8

   x + 6y = 18.6

   Isolate

   x = -8y + 22.8

   Substitute

   (-8y + 22.8) + 6y = 18.6

   -2y + 22.8 = 18.6

   -2y = -4.2

   y = -2.1

   <u>The gas costs $2.10 per gallon</u>

    x + 8(2.1) = 22.8

    x + 16.8 = 22.8

    x = 6

    <u>The cost of the car was is $6. </u>

5.  Cost = 9.99 + 2.49x

    Cost = 20.49 + 1.79x    

    To find which one is better, we need to set them equal to each other at first.

    9.99 + 2.49x = 20.49 + 1.79x

    9.99 + 0.70x = 20.49

    0.70x = 10.5

    x = 15

So, they cost the same at 15 rentals.

To find which one is the better deal let's see how much both cost after 16 rentals.

     Cost = 9.99 + 2.49(16)

              = 49.83

     Cost = 20.49 + 1.79(16)

              = 49.13

<u>Therefore, Main Street is the better deal because after the equilibrium Main Street costs less than Big Video. </u>

6.  x + y = 15

    .25x + .05y = 2.75

    Isolate

    x = -y + 15

    Solve

    .25(-y + 15) + .05y = 2.75

    -.25y + 3.75 + .05y = 2.75

    -0.2y + 3.75 = 2.75

    -0.2y = -1

    y = 5

    <u>There are 5 nickels</u>

     x + 5 = 15

     x = 10

     <u>There are 10 quarters</u>

7. x + y = 26

   x + .25y = 17

   Isolate

   x = -y + 26

   Substitute

   (-y + 26) + .25y = 17

   -0.75y + 26 = 17

   -0.75y = -9

   y = 12

   <u>There are 12 quarters in his pocket</u>

   x + 12 = 26

   x = 14

   <u>There are 14 dollars </u>

<em>I hope this helps!!</em>

<em>- Kay :)</em>

You might be interested in
What is equivalent to 3x-4y=6
Andreyy89

Answer:

y= (3/4) x - (3/2)

Step-by-step explanation:

3x - 4y = 6 (using algebra add the 4y to the other side & subtract the 6 to the other side >> 3x - 6 = 4y (then divide everything by 4 to get y by itself) >> 3/4x - 6/4 = y (then simplify) >> 3/4x - 3/2 = y

6 0
3 years ago
A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2,3,4,5,6. Let R be the event of drawing a red card,
Tatiana [17]

Answer:

e. R′

Step-by-step explanation:

Let the Sample Space be a universal set consisting of 3 red  and 6 blue cards. Then the event of  of getting 4 blue cards will be given

R complement = R` = Universal Set minus Red cards will give blue cards.

a. R OR O

It cannot be this option because we need 4 blue card

b. B AND O

It cannot be this choice as well because 4 is not odd.

c. R OR E

4 is even but we need blue

d. R AND O

Red and odd is again not required

e. R′  = It  will give our required result.

f. E′= 4 is even if it is complemented it cannot be obtained and will be left out.

5 0
3 years ago
The sum of 2 numbers is 46. One number is 12 more than the other. What are the numbers?
harkovskaia [24]

Answer:

two numbers are 29 and 17

Step-by-step explanation:

let the number be x

12+x+x=46

2x=46-12

x=34/2

x=17

another number is 12+x

12+17

29

5 0
3 years ago
Read 2 more answers
Which expression is equivalent to 6423?
Ronch [10]
Please show all of the expressions.
5 0
3 years ago
21/50 of the seats for the football game have been sold. This is equal to what decimal?
valentinak56 [21]
First make the fraction over 100

21/50(2/2) = 42/100

42/100 = 0.42 

0.42 is your answer

hope this helps
6 0
3 years ago
Other questions:
  • The diameter of a cylindrical construction pipe if 6 ft. If the pipe is 25 ft long what is it’s volume?
    14·1 answer
  • A city has just added 100 new female recruits to its police force. The city will provide a pension to each new hire who remains
    9·1 answer
  • What is 3 divide by 9
    5·2 answers
  • What is equivalent to 5 square root 3
    12·1 answer
  • How many ways can 4 paintings be lined up on a wall
    10·2 answers
  • 0.16 Rewrite as a simplified fraction.
    8·1 answer
  • I need help FAST<br> WILL GIVE BRAINLY
    12·2 answers
  • PLZ HELP ME WITH THIS!! 5/2 c = 8 1/3 *
    7·1 answer
  • On the grid below, which point is located in the quadrant where the x- and y-coordinates are both negative numbers?
    7·1 answer
  • What is the remainder of 6099 divided by 7
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!