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const2013 [10]
3 years ago
7

zachary is planning to send a video game to each of his two brothers if he buys the same game for both brothers and pays $4.75 t

o ship each game how much can you spend on each game without spending more than $100 right and solve any quality for the situation
Mathematics
2 answers:
xeze [42]3 years ago
8 0
100 dollars / 2brothers x $4.75 . 9.50 for both shipping . 45.25 for each game . 90.50 for both video games . 
Dmitry_Shevchenko [17]3 years ago
8 0

Answer:  The required amount of money spent on each of the two video games is less than or equal to 45.25.

Step-by-step explanation:  Given that Zachary is planning to send a video game to each of his two brothers. He buys the same game for both brothers and pays $4.75 to ship each game.

We are to write and solve an inequality find the amount spent on each game without spending more than $100.

Let $x be the amount that is spent on each of the two video games.

Then, according to the given information, the inequality can be written and solved as follows :

2x+2\times4.75\leq 100\\\\\Rightarrow 2x+9.5\leq100\\\\\Rightarrow 2x\leq100-9.5\\\\\Rightarrow 2x\leq90.5\\\\\Rightarrow x\leq\dfrac{90.5}{2}\\\\\Rightarrow x\leq 45.25.

Thus, the required amount of money spent on each of the two video games is less than or equal to 45.25.

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Aleksandr-060686 [28]
From the right hand side, we will need to find a way to rewriting 3x²y in terms of cube roots.
We know that 27 is 3³, so if we were to rewrite it in terms of cube roots, we will need to multiply everything by itself two more twice. (ie we can rewrite it as ∛(3x²y)³)

Hence, we can say that it's:
 \sqrt[3]{162x^{c}y^{5}} = \sqrt[3]{(3x^{2}y)^{3}} * \sqrt[3]{6y^{d}}
= \sqrt[3]{162x^{6}y^{3+d}}

Hence, c = 6 and d = 2
4 0
3 years ago
For the following set of 20 numbers:
patriot [66]

Answer:

I cannot answer all of this, so I will only answer what I can:

Q1: 13

Q3: 22.5

IQR: 13.5

IQR(1.5): 20.25

Q3 + IQR(1.5) = 43

Q1 - IQR(1.5) = -7.25

I don't know if my calculations are all right but I hope this helps! :)

4 0
3 years ago
Part B was p + 0.2p. Combine the like terms in the expression for part B to create an equivalent expression. PLEASE HELP!
lawyer [7]

Answer:

1.2p

Step-by-step explanation:

p=1p

p+0.2p is equal to 1p+0.2p which equals 1.2p

4 0
3 years ago
Read 2 more answers
EXPLAIN THE ERROR Cody was given two points (1/2,4) and (2/3,1), on a line and asked to create a linear equation in standard for
inessss [21]

Answer:

Cody made a mistake when calculating the slope of the line and this affected every other steps after than.

She divided -3 by 6 instead of -3 by 1/6

Step-by-step explanation:

Given

(x_1,y_1) = (\frac{1}{2},4)

(x_2,y_2) = (\frac{2}{3},1)

<em>See attached for steps</em>

Required

Explain Cody's error

<em>Cody made a mistake when calculating the slope of the line and this affected every other steps after than.</em>

See Proof

Slope (m) is calculated as thus:

m =\frac{y_2 - y_1}{x_2 - x_1}

m =\frac{1 - 4}{\frac{2}{3} - \frac{1}{2}}

m =-\frac{ 3}{\frac{1}{6}}

m = -3/\frac{1}{6}

m = -3 * 6

m = -18

This is in contrast to m = -\frac{1}{2}, calculated by Cody

Solving further to determine the equation.

y - y_1 = m(x - x_1)

Where

(x_1,y_1) = (\frac{1}{2},4)

m = -18

y - 4 = -18(x - \frac{1}{2})

y - 4 = -18x + 9

Collect Like Terms

y + 18x = 9 + 4

y + 18x = 13

6 0
3 years ago
Scientist A dissolved 1.0 kilogram of salt in 3.0 liters of water. Scientist B dissolved 20 pounds of salt in 7.0 pints of water
Lilit [14]

scientist A dissolved 1 kg of salt in 3 litres.

scientist B dissolved 20 pounds of slat in 7 pint of water.

we know that 1 pound =0.543 g

20 pounds=9.07 kg.

1 pint=0.5 litres

so 7 pints =3.5 litres

so dissoving 1 kg of salt in 3 litres of water and 9.07 kg in 3.5 litres of water

we know that for concentration kg/l units is used .

for A= 1/3=0.33kg/l

and B=9.07/3.5=2.59 kg/l.

so scientist A has prepared more concentrated solution .

3 0
3 years ago
Read 2 more answers
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