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Vladimir [108]
3 years ago
6

How much does the book cost?

Mathematics
1 answer:
lina2011 [118]3 years ago
6 0
Okay so the two equations are (b-book d-dvd)
d-4=b
and 3d+b=28

so to solve this if we know that a dvd costs £4 more than a book and we have 3 of them then if we take 3 lots of 4 away from the 28 then we will have an amount equal to 4 books
so 28-12=14
14/4= £3.50
if 1 book is £3.50 then a dvd is £7.50 as it is £4 more
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The expression 7d gives the number of days in d weeks . Evaluate 7d for d=12. How many days are in 12 weeks?
RSB [31]

Answer:

84 days are in 12 weeks

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Solve the following application problem. Be sure to show your system of equations and the steps to solve the problem.
ololo11 [35]

Answer:

  • boat: 6 mph
  • current: 2 mph

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  speed = distance/time

For boat speed b and current speed c, the speed downstream is ...

  b +c = (16 mi)/(2 h) = 8 mi/h

The speed upstream is ...

  b -c = (16 mi)/(4 h) = 4 mi/h

Adding the two equations eliminates the c term:

  2b = 12 mi/h

  b = 6 mi/h . . . . . divide by 2

Solving the second equation for c, we get ...

  c = b -4 mi/h = 6 mi/h -4 mi/h = 2 mi/h

The speed of the boat in still water is 6 mi/h; the current is 2 mi/h.

6 0
3 years ago
What is the solution to this system of equations?
amm1812

Answer:

Step-by-step explanation:

(i) x+2y=4

(ii) x=4-2y

(iii) 2x-2y=5  

substituting (ii) in (iii)

2x-2y=5

2(4-2y)-2y=5

8-4y-2y=5

-6y=5-8

-6y=-3

(iv) y=\frac{1}{2}              

substituting (iv) in (ii)

x=4-2y

x=4-2×\frac{1}{2}

x=4-1

x=3

∴ B.(3,\frac{1}{2})

HOPE IT HELPS YOU!!!!

3 0
3 years ago
Ashley puts 45 stamps in an album. She puts the same number of stamps on each page,and 3 stamps on the last page. There are 2 mo
ludmilkaskok [199]
45 pages total
3 on last page
45-3=42
there are 42 on the rest of the pages
on each page, there are 2 more pages in album than then stamps on pages

amount of stamps on pages with equal number of stamps is
A=numberofpgest times number of stamps on pages
number of pages=p
number of stamps per papge=s
a=ps

2 more pages than stamps on pages
p=2+s
total number of stamps per page is s=(45-3)/(p-1)
(what I did is I first got rid of number of stamps on last page, then got rid of the last page)
P=2+s
s=(45-3)/(2+s-1)
s=42/(s+1)
times s+1 both sides
s^2+s=42
minus 42
s^2+s-42=0
factor
(s-6)(s+7)=0
set equal to zero
s-6=0
s=6

s+7=0
s=-7, false, no negative stamps


6 stamps per page

sub
p=2+s
p=2+6
p=8
8 pages

check
last page is 3 so 8-1=7 page left

7*6=42
3+42=45

correct


there are
8 pages in the album
6 stamps per page
6 0
3 years ago
Aldos coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Aldo $5.80 per pound, and type of
LuckyWell [14K]
Let A represent amount of Type A coffee pounds used. 
Let B represent amount of Type B coffee pounds used

A + B = 156 
B = 156 - A 
A = 156 - B

5.80A + 4.65B = 826.60 
580 (156 - B) + 4.65B - 826.60 = 0 
904.8 - 5.80B + 4.65B - 826.60 = 0
904.8 - 1.15B - 826.60 = 0 
78.2 - 1.15B = 0 
78.2/1.15 = 1.15B/1.15
68 = B
B = 68 pounds of Type B coffee

There's many more steps you can take to check and etc but am too lazy to put down sorry. 
5 0
3 years ago
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