Find the value of x 5x-2(x+5)

If Logan's family can drive 23 1/8 miles on 1 gallon of gas,how far can they drive on 17 gallons

guapka [62]

$\bf \begin{array}{ccll} miles&\stackrel{gas}{gallons}\\ \cline{1-2}\\ 23\frac{1}{8}&1\\\\ x&17 \end{array}\implies \cfrac{23\frac{1}{8}}{x}=\cfrac{1}{17}\implies \cfrac{\frac{23\cdot 8+1}{8}}{x}=\cfrac{1}{17}\implies \cfrac{\frac{185}{8}}{x}=\cfrac{1}{17} \\\\\\ \cfrac{\frac{185}{8}}{\frac{x}{1}}=\cfrac{1}{17}\implies \cfrac{185}{8}\cdot \cfrac{1}{x}=\cfrac{1}{17}\implies \cfrac{185}{8x}=\cfrac{1}{17} \\\\\\ 3145=8x\implies \cfrac{3145}{8}=x\implies 393\frac{1}{8}=x$

4 0

3 years ago

Graph in radians: y = - 1/2 tan x

Karolina [17]

Hello here is a Graph :

3 0

4 years ago

Abe is going to plant 54 oak trees and 27 pine trees. Abe would like to plant the trees in rows that all have the same number of

attashe74 [19]

Answer: There are 27 trees that Abe can plant in each row. And there are 1 pine tree and 2 oak tree in each row.

Explanation:

Since we have given that

Number of oak trees = 54

Number of pine trees = 27

According to question, we have given that Abe wants to plant the trees in rows that all have the same number of trees and are made up of only one type of tree.

So, the greatest number of trees is given by

$H.C.F\ of\ 27\ and\ 54=27$

Hence, there are 27 trees that Abe can plant in each row.

Therefore, there are $\frac{27}{27}=1\text{ pine tree and }\frac{54}{27}=2\text{ oak trees.}$

4 0

4 years ago

Read 3 more answers

Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and

MakcuM [25]

Answer:

The number of bananas that Emily bought was 6 and the number of peaches that Emily bought was 8

Step-by-step explanation:

The complete question is

Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and each peach costs $2. She bought a total of 14 peaches and bananas altogether. Determine the number of peaches and the number of bananas that Emily bought

Let

x ----> the number of bananas that Emily bought

y ----> the number of peaches that Emily bought

we know that

She bought a total of 14 bananas and peaches altogether

so

$x+y=14$ -----> equation A

She bought $20.80 worth of bananas and peaches

so

$0.80x+2y=20.80$ -----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (6,8)

see the attached figure

therefore

The number of bananas that Emily bought was 6 and the number of peaches that Emily bought was 8

3 0

4 years ago

Prove or disprove that if a and b are two rational numbers, then a b is also a rational number.

Harman [31]

That is not correct, In a quotient or any type of equation numbers are considered rational number when they have repeating values, for this we will use {x} for example when comparing repeating values.

So if we have {a} + {b} from a equation prior to obtaining these values then we will take {a} + {b} and add {c} we will end up with {a} + {b} + {c}. We are using addition for an example.

{c} would only be a rational if it as well had repeating {x} values

{x}=Repeating value

5 0

4 years ago