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nikdorinn [45]
2 years ago
10

Juan ran the lemonade stand for 3 more days. Each day, he used the money from sales to purchase more lemons, cups, and sugar to

make more lemonade. On day 2, he earned $16 and spent $7 on supplies. On day 3, he earned $22 and spent $12. The expression 16 – 7 + 22 – 12 can be used to model the situation for these 2 days.

Mathematics
2 answers:
pav-90 [236]2 years ago
7 0

Answer:

c.

Step-by-step explanation:

mezya [45]2 years ago
6 0

Answer:

The associative and commutative properties can be applied only to problems with addition. Juan had to change the subtraction to addition by adding the additive inverse.

Step-by-step explanation:

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What is a3 in an arithmetic sequence in which a10=41 and a15=61
USPshnik [31]
\bf \begin{array}{llll}
term&value\\
-----&-----\\
a_{10}&41\\
a_{11}&41+d\\
a_{12}&(41+d)+d\\
&41+2d\\
a_{13}&(41+2d)+d\\
&41+3d\\
a_{14}&(41+3d)+d\\
&41+4d\\
a_{15}&(41+4d)+d\\
&41+5d=61
\end{array}
\\\\\\
41+5d=61\implies 5d=20\implies d=\cfrac{20}{5}\implies \boxed{d=4}\\\\
-------------------------------\\\\

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=4\\
n=10\\
a_{10}=41
\end{cases}
\\\\\\
41=a_1+(10-1)4\implies 41=a_1+36\implies \boxed{5=a_1}

thus

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=4\\
n=3\\
a_{1}=5
\end{cases}
\\\\\\
a_3=a_1+(3-1)4\implies a_3=5+(3-1)4

and surely you know how much that is.
8 0
2 years ago
Read 2 more answers
What is the absolute value of -34
charle [14.2K]

Answer: 34


Step-by-step explanation:

Absolute value is how many numbers is that number away from zero. -34 is 34 places away from zero.


~A

4 0
2 years ago
Rectangle KLMN is graphed on the coordinate plane below.The figure is rotated 360° counterclockwise using the origin as the cent
VladimirAG [237]

Since 360 is a full loop around the circle, the points end up in the exact same place.

3 0
2 years ago
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One liter of paint is needed to cover all 6 sides of a cubical block. How many liters will be needed to cover all 6 sides of a s
Art [367]

Answer:

4 liters

Step-by-step explanation:

Let's assume that the side lengths of the cubical block are 2 inches.

This means that one of the sides area is 4 in².

Multiplying this by 6 (for there are 6 sides) gets us 24 in².

So one liter of paint covers 24 in².

Now if the side lengths (edge) of the second block is doubled, that means that the side lengths are 2\cdot2 = 4 inches.

So the area of one side is 16 in².

Multiplying this by 6 (as there are 6 sides) gets us 96 in².

To find how many liters of paint this will take, we divide 96 by 24.

96\div24=4

So 4 liters of paint will be needed for the second cubical block.

Hope this helped!

6 0
2 years ago
Which are the roots of the quadratic function f(q) = q2 – 125? Select two options.
Assoli18 [71]

Answer:

±11.18

Step-by-step explanation:

the function is:

f(q)=q^2-125

and to find the roots we need to find which values of q makes the function result in zero:

q^2-125=0

solving for q:

q^2=125\\q=\sqrt{125}

A square root has two solutions, one positive and one negative, so the solutions are:

q=±\sqrt{125} ≈ ±11.18

the roots of the quadratic equation are +11.18 and -11.18

3 0
2 years ago
Read 2 more answers
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