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kari74 [83]
4 years ago
10

Two positive numbers have a difference of 17. The larger number is one more than twice the smaller. Find the two numbers.

Mathematics
1 answer:
frosja888 [35]4 years ago
7 0
(2x+1)-x=17\\
x+1=17\\
x=16\\
plug~16~in~for~x.\\The~bigger~number~is~ 2(16)+1=33, \\~the~smaller~number~is~16.
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Simplify the expression shown. You must show your work to receive credit.
ZanzabumX [31]

ANSWER

12 \sqrt{5}

EXPLANATION

The given expression is

\sqrt{2}  \times  \sqrt{72}  \times  \sqrt{5}

The middle radical contains a perfect square.

\sqrt{2}  \times  \sqrt{36 \times 2}  \times  \sqrt{5}

\sqrt{2}  \times  \sqrt{36}   \times  \sqrt{2} \times  \sqrt{5}

6\sqrt{2}  \times  \sqrt{2} \times  \sqrt{5}

Note that:

\sqrt{a}  \times  \sqrt{a}  = a

6\times 2 \sqrt{5}  = 12 \sqrt{5}

4 0
3 years ago
1/(x+4)(x-2)(x-5) excluded values
UNO [17]

Answer:

see explanation

Step-by-step explanation:

The excluded values are any values of x that make the function undefined

Given

\frac{1}{(x+4)(x-2)(x-5)}

The denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the values that x cannot be.

(x + 4)(x - 2)(x - 5) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

x - 5 = 0 ⇒ x = 5

x = - 4, x = 2, x = 5 are the excluded values

4 0
3 years ago
Help me please and explain if possible?
creativ13 [48]
Let x = months

so we know that price of software package is $20
Now we need to find x the price of one month

we know that Angie and Kenny spent 115 total

Angie: 20 + 3x ( one software pack + 3(price of one month)
Kenny: 20+ 2x ( one software pack + 2( price of one month)

So Angie + Kenny = $ 115

20 + 3y + 20 + 2y = 115

combine like terms and solve for x. That will give you the cost of one month

40 + 5x = 115
-40 -40

5x= 75
5x/5 = 75/5

x=15
8 0
3 years ago
what equation is used to represent "three minus the difference of a number and one equals one-half of the difference of three ti
sesenic [268]
(n-1)-3=1/2(3n-4)
hope it hrlps
8 0
4 years ago
At high school basketball game, the athletic department sold 250 tickets and brought in 837.50. Adult tickets cost $5 and studen
Tpy6a [65]

Answer:

The system of equations is:

a+s = 250\\5a+2.50s = 837.50

Here a is the number of adult tickets and s is the number of student tickets

Step-by-step explanation:

We will use the given statements to make a system of equations for the given scenario.

First of all we have to decide which variables to be used.

Let a be the number of adult tickets and

Let s be the number of student tickets

So according to the statement that the department sold 250 tickets in total, the equation will be:

a+s = 250

This is equation one of the system of equations

According to the statement that cost of adult ticket is $5, total cost of adult tickets will be: 5a

According to the statement that cost of student ticket is $2.50, total cost of student tickets will be:2.50s

The total earning was $837.50 so the second equation will be:

5a+2.50s = 837.50

Hence,

The system of equations is:

a+s = 250\\5a+2.50s = 837.50

Here a is the number of adult tickets and s is the number of student tickets

7 0
3 years ago
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