Create a problem that would have the answer 3x+12
1 answer:
Answer:
Problem:
Consider a rectangle such that the width of the rectangle is 12 more than thrice its length. Find a formula for the width in terms of its length. Take length as 'x'.
Step-by-step explanation:
Consider a rectangle such that the width of the rectangle is 12 more than thrice its length. Find a formula for the width in terms of its length.
Let the length be 'x'.
Therefore, as per question, width is 12 more than thrice the length.
Thrice the length means . 12 more means adding 12 to the result.
Therefore, the width of the rectangle is .
So, the above question expresses the width of the rectangle as which is the required answer.
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Answer:
<u>207.35 inches</u>
Step-by-step explanation:
The wheel is in the shape of circle. The height, here, basically gives the diameter.
So,
Diameter = 66 in
Radius is half of diameter, so radius is:
66/2 = 33 inches
r = 33
Now, the distance truck travels when 1 rotation is made is the length of the perimeter of the circular wheel, or the circumference.
The formula is:
Where C is circumference
r is the radius
Substituting, we get the answer as:
The distance covered is about <u>207.35 inches</u>
Answer:
Step-by-step explanation:
Let x = the number of bottles of paint that Carmen can buy
Let y = the number of boxes of colored pencils that Carmen can buy
A bottle of paint costs $2
A box of colored pencils costs $3.50
She can spend no more than $42 on art supplies. This means
She can buy bottles of paint worth 2×x = $2x
She can buy boxes of colored pencils
worth 3.5 × y = $3.5y
Since the total amount she can spend cannot exceed $42, the equation becomes
2x + 3.5y lesser than or equal to 42
This is shown in the attached photo
b) three different solutions to the inequality would be three different possible values that x and y can take. These are
x = 7 while y = 8
x = 10 while y = 6
x = 14 and y = 4
Answer:
1. coefficient of variation(systolic) = 13.88%
2. coefficient of variation(diastolic) = 16.2%
3. The coefficients of variation for each data set are within 5 percentage points of each other Therefore the systolic measurements vary signifcantly less than the diastolic
Step-by-step explanation:
1. Mean of systolic = ( 117+126+158+96+157+122+116+134+127+122)÷10
= 127.5
Standard Deviation of systolic = (((117-127.5)^2 +(126-127.5)^2+(158-127.5)^2+ (96-127.5)^2 + (157-127.5)^2 + (122-127.5)^2 + (116-127.5)^2 +(134-127.5)^2 +(127-127.5)^2 +( 122-127.5)^2) ÷ 10)^(0.5)
SD = 17.7
coefficient of variation(systolic)
= Standard Deviation of systolic /mean of systolic
=
coefficient of variation(systolic) = 13.88%
2. Mean of diastolic = ( 80+77+76+51+90+89+60+64+72+83) ÷ 10
= 74.2
Standard Deviation of diastolic = (((80-74.2)^2 +(77-74.2)^2+(76-74.2)^2+ (51-74.2)^2 + (90-74.2)^2 + (89-74.2)^2 + (60-74.2)^2 +(64-74.2)^2 +(72-74.2)^2 +(83-74.2)^2) ÷ 10)^(0.5)
SD = 12
coefficient of variation(diastolic)
= Standard Deviation of diastolic /mean of diastolic
=
coefficient of variation(diastolic) = 16.2%
3. The coefficients of variation for each data set are within 5 percentage points of each other Therefore the systolic measurements vary signifcantly less than the diastolic