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3 years ago

The cost in dollars, C, of renting a carpet cleaner is given by the linear equation

Mathematics

2 answers:

choli [55]3 years ago

6 0

Answer:

Step-by-step explanation:

scoundrel [369]3 years ago

4 0

Answer: C) 6

Step-by-step explanation:

Given : The cost in dollars, C, of renting a carpet cleaner is given by the linear equation $C = 20 + 25x$ , where x is the number of days.

To find the number of days it can be used for $170, we put C= 175 in the equation, we get

$175 = 20 + 25x\\\\\Rightarrow\ 25x=170-20\\\\\Rightarrow\ 25x=150\\\\\Rightarrow\ x=\dfrac{150}{25}=6$

Hence, the required number of days = 6.

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The product of two number is 20 and the sum of square is 41 find the number

Marianna [84]

Let the two number is a and b

so,

product =ab=20

sum of square= $\bold{a^2+b^2=41 }$

Then,

$\bold{(a+b)^2=a^2+b^2+2ab }$

$\bold{ (a+b)^2=41+2×40 }$

$\bold{ (a+b)^2=81 }$

$\bold{a+b=\sqrt{81} }$

$\bold{a+b=9 }$ •••••••••(equation I)

Now,

$\bold{(a-b)^2=a^2+b^2-4ab }$

$\bold{ (a-b)^2=41-4×20 }$

$\bold{(a-b)^2=41-40 }$

$\bold{a-b=\sqrt{1} }$

$\bold{a-b=1 }$ ••••••••(equation II)

Now,combine the equation I and equation II

we,get

$\bold{a+b+a-b=9+1 }$

$\bold{a+\cancel{b}+a\cancel{-b}=10 }$

$\bold{ 2a=10 }$

$\bold{a=\dfrac{10}{2} }$

$\blue{\boxed{ a=5 }}$

Then,

put the value of a in equation II.

we get that,

$\bold{5-b=1 }$

$\bold{b+1=5 }$

$\bold{b=5-1 }$

$\bold{\boxed{\blue{b=4}} }$

so, 

The two number is 5 and 4.

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3 years ago

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If a 16 oz package of cereal is $4.00, then what is the unit rate: 1 oz/.25 or .25/1 oz?

Masteriza [31]

Answer:

1 ounce package of cereal will cost 4÷16=$0.25. $1 = 100 cents. $0.25=0.25x100= 25 cents. Unit cost of package is 25 cents.

Step-by-step explanation:

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konstantin123 [22]

Answer:

amog us

Step-by-step explanation:

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Solve the inequality x/5-3<0

Kisachek [45]

Answer:

x < 15

Step-by-step explanation:

$\frac{x}{5}$ - 3 < 0 ( add 3 to both sides )

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3 years ago

HOW CAN YOU WRITE 10/3 AS A DIVISION EXPRESSION AND AS A MIXED NUMBER?

Anni [7]

Answer: 10.3 would be a mixed number

Step-by-step explanation:

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