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hoa [83]
3 years ago
9

Shoe sizes and foot length are related by the formula S = 3F - 24, where S represents the shoe size and F represents the length

of the foot, in inches. Solve the formula for F.
Mathematics
1 answer:
eimsori [14]3 years ago
7 0

Answer:

\dfrac{S + 24}{3}

Step-by-step explanation:

\begin{array}{rcll}S & = & 3F - 24&\\S + 24 & = & 3F&\text{Added 24 to each side}\\F & = &\mathbf{\dfrac{S + 24}{3}}&\text{Divided each side by 3}\\\\\end{array}

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Jennifer earns $17.35 per hour at her job. She works 6 hours per day, 5 days per week. What is Jennifer’s gross income for a 2 w
Marat540 [252]

Answer:

She makes $1041 in 2 weeks

Step-by-step explanation:

First, we can work on finding how much she makes in a day. To find the daily income, we need to multiply 17.35 by 6 since she works 6 hours a day.

17.35x6=104.1

She makes $104.10 a day. Now we multiply by 5 since she works 5 days a week

104.10x5=520.50 a week

Since we are trying to find how much she makes in two weeks, we multiply the weekly income by 2

520.5x2=1041

She makes $1041 in 2 weeks

5 0
3 years ago
Find the slope-intercept equation of the line that<br> passes through (0, 2) and has a slope of 1/2
julia-pushkina [17]

Answer:

1/2

Step-by-step explanation:

4 0
3 years ago
Find the equation of the parabola that passes through
valentinak56 [21]

so we have the points of (0,-7),(7,-14),(-3,-19), let's plug those in the y = ax² + bx + c form, since we have three points, we'll plug each one once, thus a system of three variables, and then we'll solve it by substitution.

\bf \begin{array}{cccllll} \stackrel{\textit{point (0,-7)}}{-7=a(0)^2+b(0)+c}& \stackrel{point (7,-14)}{-14=a(7)^2+b(7)+c}& \stackrel{point (-3,-19)}{-19=a(-3)^2+b(-3)+c}\\\\ -7=c&-14=49a+7b+c&-19=9a-3b+c \end{array}

well, from the 1st  equation, we know what "c" is already, so let's just plug that in the 2nd equation and solve for "b".

\bf -14=49a+7b-7\implies -7=49a+7b\implies -7-49a=7b \\\\\\ \cfrac{-7-49a}{7}=b\implies \cfrac{-7}{7}-\cfrac{49a}{7}=b\implies -1-7a=b

well, now let's plug that "b" into our 3rd equation and solve for "a".

\bf -19=9a-3b-7\implies -12=9a-3b\implies -12=9a-3(-1-7a) \\\\\\ -12=9a+3+21a\implies -15=9a+21a\implies -15=30a \\\\\\ -\cfrac{15}{30}=a\implies \blacktriangleright -\cfrac{1}{2}=a \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{and since we know that}}{-1-7a=b}\implies -1-7\left( -\cfrac{1}{2} \right)=b\implies -1+\cfrac{7}{2}=b\implies \blacktriangleright \cfrac{5}{2}=b \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=-\cfrac{1}{2}x^2+\cfrac{5}{2}x-7~\hfill

3 0
3 years ago
5 questions!!! 6 total but the last question will be separate will be giving 35 points to correct answer. Links will be ignored.
ki77a [65]

Answer:

Step-by-step explanation:

1)down 8 up 10

2)11.2

3)9+9+9+9+9=45

4)middle

5)77.0

4 0
3 years ago
What is the area of the given rectangle?
Salsk061 [2.6K]

Answer:

15 square inches

Step-by-step explanation:

area of retangle =L×B

area of rectangle =5×3=15

3 0
3 years ago
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