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evablogger [386]

3 years ago

14

Tanya spent $8.15 on 5 cans of tuna. She used a coupon that gave her 35 cents off each can. What was the price of a can of tuna

without the coupon?

1 answer:

user100 [1]3 years ago

5 0

she spent 1.98 ..............

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If the numerator of a fraction is increased by six, the value of the fraction will increase by one. If the denominator of the or

Alchen [17]

Answer:

$\dfrac{7}{6}$

Step-by-step explanation:

Let $\dfrac{a}{b}$ be the original fraction.

If the numerator of a fraction is increased by six, the value of the fraction will increase by one. Hence,

$\dfrac{a+6}{b}=\dfrac{a}{b}+1$

If the denominator of the original fraction is increased by 36, the value of the original fraction will decrease by one. Hence,

$\dfrac{a}{b+36}=\dfrac{a}{b}-1$

Add these two equalities:

$\dfrac{a+6}{b}+\dfrac{a}{b+36}=\dfrac{a}{b}+1+\dfrac{a}{b}-1\\ \\\dfrac{a+6}{b}+\dfrac{a}{b+36}=2\dfrac{a}{b}\\ \\\dfrac{a}{b+36}=\dfrac{2a-(a+6)}{b}\\ \\\dfrac{a}{b+36}=\dfrac{a-6}{b}\\ \\ab=(a-6)(b+36)\\ \\ab=ab+36a-6b-216\\ \\36a-6b-216=0\\ \\6a-b-36=0\\ \\b=6a-36$

Substitute it into the first equation:

$\dfrac{a+6}{6a-36}=\dfrac{a}{6a-36}+1\\ \\\dfrac{a+6}{6(a-6)}=\dfrac{a}{6(a-6)}+1\\ \\a+6=a+6(a-6)\\ \\a+6=a+6a-36\\ \\6a=6+36\\ \\6a=42\\ \\a=7\\ \\b=6\cdot 7-36=42-36=6$

Thus, the initial fraction was

$\dfrac{7}{6}$

6 0

4 years ago

F(x) = [x]; g(x) = |x| + 6

Rufina [12.5K]

Answer:

|x| + 6

Step-by-step explanation:

For F= (x) substitute x with g(x) = |x| + 6

6 0

3 years ago

PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!

horsena [70]

Ur giving 5 .........

4 0

3 years ago

27/45=_/5?<br> 2/6=_/3?jjjjjj

VikaD [51]

Answer:

27/45 = 3/5

2/6 = 1/3

hope dis helps

4 0

4 years ago

Read 2 more answers

if the freshmen class students has 11 more boys than girls determine how many of each are in the class

Tems11 [23]

Answer:

how many in all? how many girls?

7 0

3 years ago