A.
If:
j - the price of a glass of juice
p - the price of a pancake special
Then:
3j + 5p = 7.60
j + 2p = 2.90
b.
If:
j + 2p = 2.90
Then:
j = 2.90 - 2p
We can substite j in the first equation.
<span>If:
3j + 5p = 7.60
</span><span>j = 2.90 - 2p
</span>Then:
3×(2.90-2p) + 5p = 7.60
8.70 - 6p + 5p = 7.60
8.70 - p = 7.60
⇒ p = 8.70 - 7.60
⇒ p = 1.10
If:
<span>j = 2.90 - 2p
</span><span>p = 1.10
</span>Then:
j = 2.90 - 2×1.10
j = 2.90 - 2.20
j = 0.70
Thus, the price of a glass of juice is $0.70 and <span>the price of a pancake special is $1.10.
c.
If:
p = 1.10
j = 0.70
Then:
j + p = 1.10 + 0.70 = 1.80
Thus, </span><span>the bill for 1 glass of orange juice and 1 pancake special is $1.80.</span>
Answer:
"Dominic lived in Spain for 13 months and Columbia for 7 months."
Step-by-step explanation:
let months stayed in spain be "s" and months stayed in columbia be "c"
We can write 2 equations.
Since, lived in Spain and Columbia for a total of 20 months, we can write:
s + c = 20
Also, since 120 words per month in Spain and 150 words per month in Columbia for a total of 2610 new words, we can write:
120s + 150c=2610
Solving first for s:
s = 20 - c
Putting in 2nd and solving:
120(20 - c) + 150c = 2610
2400 - 120c + 150c = 2610
30c = 210
c = 7
Now,
s = 20 - c = 20 - 7 = 13
So
"Dominic lived in Spain for 13 months and Columbia for 7 months."
Answer: is smaller than .
Step-by-step explanation:
- Find the least common denominator or LCM of the two denominators:LCM of 3 and 10 is 30
- For the 1st fraction, since 3 × 10 = 30,
- <em><u>Likewise, for the 2nd fraction, since 10 × 3 = 30,</u></em>
- <u><em>Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction</em></u>
<u><em></em></u>
- <u><em></em></u><u><em></em></u>
Answer:
2
Step-by-step explanation:
Change the mixed numbers to improper fractions
( - ) + ← the LCM of 2 and 3 is 6
= - +
= - +
= +
=
=
= 2
3.7
3 4/5 = 3.75
3 7/8 = 3.875
3.7 yards of pink, 3 4/5 yards of blue, 3 7/8 yards of purple is your answer
you can change all of them to fractions too, but i decided to change them all to decimals
hope this helps