Answer:
Larger number is 13 and Smaller number is 4.
Step-by-step explanation:
Let the larger number be x.
Also let the smaller number be y.
We need to find the two numbers.
Given:
The larger of two numbers is twice the smaller increased by five.
framing in equation form we get;
⇒equation 1
Also Given:
Three times the larger exceeds double the smaller by 31
⇒equation 2
Now Substituting the value of x from equation 1 in equation 2 we get;
Now Using Distributive property we get;
Combining the like terms we get;
Now Using Subtraction property we get;
Now Using Division property we get;
Now Substituting value of y in equation 1 we will find the value of x.
Hence Larger number is 13 and Smaller number is 4.
-5 > x + (-4)
Answer:
30 dollars to spend
Step-by-step explanation:
7 times 3= 21
21+9=
Answer:
-- The slope of the line is [ -a/b ] .
-- The line intersects the x-axis at [ x = c/a ] .
-- The line intersects the y-axis at [ y = c/b ] .
Step-by-step explanation:
Answer:
4 5/12 feet tall
Step-by-step explanation:
3/4 becomes 9/12
1/3 becomes 4/12
9 - 4 = 5
5/12
5 5/12
Answer:
1 5/12
Step-by-step explanation:
To subtract fractions, we must find a Common Denominator for the two fractions.
We can find a common denominator simply by multiplying the denominators by eachother.
4*3=12
3*4=12
Now we also have to multiply the numerator by what the denominator was multiplied by, so everything is equal.
3*3=9 so 9/12
1*4=4 so 4/12.
If Leons brother is 4 and 9/12 tall, we can multiply the denominator by the whole number and add it to the numerator to get an improper fraction. This makes it possible to subtract.
4*12=48 and dont forget to add the extra 9! Leons brother is 57/12 tall. Now just subtract.
57/12-4/12=53/12 or 4 and 5/12.
Leon is 4 and 5/12 tall.
Hope this helps!
3.) Explain what your solution means in the context of the problem.
Answer:
1)
Ola taxi charges a $8 flat rate in addition to $2 per mile. Paul has no more than $10 to spend on a ride.
2)
Let x be the number of miles.
Then, we have inequality:
Solve the inequality: .
Subtract 2 from both the sides:
Simplify:
Divide by 8 both sides we get;
as shown in figure 1.
4)
From the context of the problem :
we can say that Paul can travel 1 miles or less before reaching his limit of $10.
Answer:
A football team wants to by a football. The football costs $51. There are 11 members of the team. How much will each of the team members contribute to be able to purchase the football if they had $29 already.
Solution: Let the amount each team member contributes be x, then
11x + 29 ≥ 51
11x ≥ 51 - 29
11x ≥ 22
x ≥ 22/11
x ≥ 2
Step-by-step explanation: