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3 years ago

How many solutions does this system have?

Mathematics

2 answers:

marissa [1.9K]3 years ago

7 0

Answer:

No solution.

Step-by-step explanation:

Let us approach this question geometrically . Number of solutions is the number of meeting points of the two graphs . We can see that the given equations are equations of lines . First equation is 5x - y = 3.

Second equation when divided by two can be written as 5x - y = -1.

We can see that these lines are parallel and therefore doesn't intersect.So no solution.

Elena L [17]3 years ago

6 0

Answer:

No solution

Step-by-step explanation:

I took the quiz

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What the prime factorization on 75?<br><br>

nikklg [1K]

Answer:

3*5^2

Step-by-step explanation:

75 is divisible by 3

75/3 = 25

25 is not divisible by 3, but it is divisible by 5.

25 = 5^2.

25/25 = 1. We are done.

3 0

3 years ago

Consider the expression 25 – 10 ÷ 2 + 3.

Tems11 [23]

Given:

The expression is:

$25-10\div 2+3$

To find:

Part A: The expression using parentheses so that the expression equals 23.

Part B: The expression using parentheses so that the expression equals 3.

Solution:

Part A:

In option A,

$(25-10)\div 2+3=15\div 2+3$

$(25-10)\div 2+3=7.5+3$ [Using BODMAS]

$(25-10)\div 2+3=10.5$

In option B,

$25-10\div (2+3)=25-10\div 5$

$25-10\div (2+3)=25-2$ [Using BODMAS]

$25-10\div (2+3)=23$

In option C,

$(25-10)\div (2+3)=15\div 5$

$(25-10)\div (2+3)=3$

In option D,

$25-(10\div 2)+3=25-5+3$

$25-(10\div 2)+3=28-5$ [Using BODMAS]

$25-(10\div 2)+3=23$

After the calculation, we have $25-10\div (2+3)=23$ and $25-(10\div 2)+3=23$ .

Therefore, the correct options are B and D.

Part B: From part A, it is clear that

$(25-10)\div (2+3)=3$

Therefore, the correct option is C.

8 0

2 years ago

Translate the given phrase into an algebraic expression and simplify if possible: the product of -13 and the difference of c

Musya8 [376]

Answer: $-13c+13d$

Step-by-step explanation:

For this exercise it is important to remember the following:

1. By definition, the "Product" is the result of a multiplication.

2. The "Difference" is defined as the result of a subtraction.

3. The Distributive property states that:

$a(b+c)=ab+ac\\\\a(b-c)=ab-ac$

Keeping the above on mind, you know that:

"The difference of $c$ and $d$ " can be represented with the following expression:

$c-d$

Therefore, "The product of -13 and the difference of $c$ and $d$ " can be represented with this expression:

$-13(c-d)$

Finally, you must apply the Distributive property in order to simplify the expression. You get:

$=-13c+13d$

7 0

3 years ago

P=-30h+74 The variable h represents the number of hours he has spent reading, the variable p represents the number of pages left

olchik [2.2K]

Answer: Ethan will have to spend 2 hours reading if 14 pages are left to read

Step-by-step explanation:

Given the equation

P=-30h+74

where p =number of pages left to read and

h= the number of hours he has spent reading

Therefore , if Ethan has 14 pages left to read, then the number of hours Ethan will have to read will be

P=-30h+74

14= -30h + 74

30h= 74-14

30h= 60

h = 60/30

h =2 hours

Ethan will have to spend 2 hours reading if 14 pages are left to read

6 0

2 years ago

What is the square root of 465

kaheart [24]

Answer:

The square root of 465 with one digit decimal accuracy is 21.5.

Step-by-step explanation:

√465 = 21.5

3 0

2 years ago

Read 2 more answers