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galben [10]
3 years ago
12

Cary is 9 years older than Dan. In 7 years, the sum of their ages will equal 93. Find both of their

Mathematics
1 answer:
a_sh-v [17]3 years ago
3 0
Cary's age is 9 years MORE than Dan's age.
Cary's age is Dan's age, but with 9 more years added to that.
Here is how we can express that,
\rm C=D+9
In 7 years, Cary will be C+7 years old,
and Dan will be D+7 years old.
In 7 years, the sum of their ages,
(C+7) and (D+7) will equal 93.

Here is how we can express that:
\rm (C+7)+(D+7)=93

You have a system of two equations involving two unknowns. You have a couple of nice options here. You can apply substitution or elimination to complete the problem.
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One number is four times another, and the sum of the two numbers is 155. What are the two numbers?
Rus_ich [418]

Answer:

A) N1 = 4*N2   OR N1 -4*N2 = 0

B) N1 + N2 = 155 multiplying B) by -1

B) -N1 -N2 = -155 then adding equation A)

A)  N1 -4*N2 = 0  adding the 2 equations

-5*N2 = -155

The numbers are N2 = 31  N1 = 124


Step-by-step explanation:


3 0
3 years ago
The scale is evenly balanced. Explain how to find the weight (w) of one turtle. 
Tomtit [17]

Answer: 8 units

Step-by-step explanation:

Set this up as an equation with a variable for turtles. Count up the other side of the scale (without turtles). Add up the three 1s and the 4 to get 7. Then add up all four 7s. This will get you with an equation 3t+4=28.

To solve this, first subtract 4 from both sides to get 3t=24. Now divide both sides by 3. 24/3=8. Each turtle weighs 8 units.

6 0
3 years ago
Factor the expression 4x + 32. Explain each step you take in the process.
Butoxors [25]
4x+32

4 goes into 4 1 time. (4/4=1)
4 goes into 32 8 times. (32/4=8)
We can factor out 4 from both numbers. 

4(1x+8)
aka 4(x+8)
6 0
4 years ago
Read 2 more answers
The grocery store has bulk pecans on sale, which is great since you're planning on making 9 pecan pies for a wedding. How many p
navik [9.2K]
We need more information to solve
7 0
3 years ago
The price of oil recently went from $7.80 to$10.40 per case of quarts. Find the ratio of the increase in price to the original p
Bingel [31]
Hello,

When you are looking for a ratio, it is simply a fraction.

In the numerator, we will put the amount of the increase which is 10.4 - 7.80 = 2.6.
In the denominator, we will put the original price of $7.80.

This gives us the ration of 2.6/7.8 or just 0.33 if we divide.
We can say there was a 33% increase (or one-third).


I hope this helps, Good luck!
MrEquation
7 0
3 years ago
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