You are ordering T-shirts with your school's mascot printed on them. Each T-shirt costs $4.75. The printer chargers a setup fee
1 answer:
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Answer:
Width=4.7 ft
Length=16.1 ft
Step-by-step explanation:
Let the width of the table to be x ft
Then the length should be two more than three times the width= 2+3x ft
The area of the serving table should be 75 ft²
But you know the area of this table is calculated by multiplying the length by the width of the table
Hence, Area= length× width
Length=x ft and width =2+3x ft
75ft²= (x ft) × (2+3x ft)
Apply the quadratic formula to solve this quadratic equation
The formula is ;
x= (-b ±√b²-4ac)÷2ac
where a=3, b=2 and c=-75
x= (-2 ± √2²-4×3×-75)÷(2×3)
x=(-2±√4+900)÷6
x=(-2±√904)÷6
x=(-2±30.1)÷6
x=(-2+30.1)÷6=4.683⇒4.7(nearest tenth)
or
x=(-2-30.1)÷6= -32.1÷6=-5.35⇒ -5.4
Taking the positive value
x=width =4.7 ft
2+3x= length= 2+3(4.7)=16.1 ft
Answer:
The ratios are not equal.
Step-by-step explanation:
To justify the answer we will assume the dimes and quarters.
Let number of dimes be denoted by 'x'.
Let number of quarters denoted by 'y'.
In Siri's coin purse
Number of dimes (x) = 6
Number of quarters (y) = 4
Therefore ratio of quarter to dimes we get;
⇒ equation 1.
In Martha Coin purse.
Number of dimes (x) = 5
Number of quarters (y) = 3
Therefore ratio of quarter to dimes we get;
⇒ equation 2.
Now we will check if both have the same ratios.
We will check by making both equation 1 and equation 2 equal.
By cross multiplication we get;
Hence the ratios are not equal.