For $7.52, you purchased 8 pens and highlighters from a local bookstore. Each highlighter costs $1.09 and each pen costs $.69. How many pens did you buy.
Answers
h=number of highlighters
p+h=8
1.09h+0.69p=752
p+h=8
minus h from both sides
p=8-h
sub that for p
1.09h+0.69(8-h)=7.52
1.09h+5.52-0.69h=7.52
0.4h+5.52=7.52
minus 5.52 from both sides
0.4h=2
divide both sides by 0.4
h=5
sub back
h=8-p
5=8-p
minus 8 frm both sides
-3=-p
mltiply both sides by -1
3=p
3 pens you bought
p + h = 8 ..........(1)
h = 8 - p ...........(2)
0.69p + 1.09h = 7.52 ........(3)
Plugging the value for h from (2) into equation (3) we get:
0.69p + 1.09(8 - p) = 7.52 .....(4)
Expanding the bracket in (4) gives:
0.69p + 8.72 - 1.09p = 7.52
Therefore
-0.4p = -1.2
p = -1.2/-0.4 = 3
The answer is 3 pens.
Related Questions
The force of an object (f) is equal to its mass (m) times its acceleration (a). Thus, the formula for calculating force is f = ma. Based on this information, which of the following equations would be used to calculate acceleration?A. a = f ÷ m B. a = f − m C. a = f + m D. a = fm
How do you convert celsius into fahrenheit?
Write a recursive formula for each sequence given or described below.It has an explicit formula of f(n) = −3n + 2 for n ≥ 1.
Find the distance between the two points in the simplest radical form (9,-8) and (3,0)
-4X + 8Y = -8
And
X + 5Y = 5
3X - 5Y = 3
Answers
Answer:
for the first one
Step-by-step explanation:
(x,y)=(4,1)
Answers
Answer:
3/4h + 15
Step-by-step explanation:
3/4 (h+20)
= 3/4h + 3/4 * 20
= 3/4h + 15
Give your answer rounded to 2 DP
Answers
New value =
16,870 + Percentage increase =
16,870 + (3% × 16,870) =
16,870 + 3% × 16,870 =
(1 + 3%) × 16,870 =
(100% + 3%) × 16,870 =
103% × 16,870 =
103 ÷ 100 × 16,870 =
103 × 16,870 ÷ 100 =
1,737,610 ÷ 100 =
17,376.1
Rounded to 2 DP: 17376.10
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope this helps! Stay safe, have a good day :D
Answer:
17376.1 euros
Step-by-step explanation:
100%=16870
103%=x
103% x 16870=1737610/100=17376.1
Answers
2673.67=.34x
x=2673.67/.34
x= 7863.74
x~ 7864
Answers
So 19
= 373/5 + 59/3
= ((373 × 3) + (59 × 5)) / (5 × 3)
= (1119 + 295) / 15
= 1414/15
= 1414/15
= 94 4/15
74+19= 93
for 3/5+2/3 we need a common denominator which in this case would be 15 (the product of the two already existing denominators)
3x3=9 (the 3s are first numerator and the second denominator) so the first fraction is 9/15
5x2=10 (the first denominator and the second numerator) so the second fraction would be 10/15
9+10=19 (the numerators in both fractions) so it's 19/15 which we convert to a mixed numeral which is 1 4/15
93+1 4/15=94 4/15
hope this helps :)