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kotegsom [21]
3 years ago
6

Graph y≤2x+3

Mathematics
1 answer:
sp2606 [1]3 years ago
3 0

Answer:

c

Step-by-step explanation:

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The original price of a toaster is $18.00. If the toaster is marked down 25%, what is the new price?
Alla [95]

Answer:

$13.50

Step-by-step explanation:

First, we got to multiply $18 by 25% or .25

$18 x .25 = $4.50

Lastly, we just subtract $4.50 from $18.

$18 - $4.50 = $13.50

5 0
3 years ago
X^2 - y^2 = 100
luda_lava [24]

Answer:

20

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

x+y=5

Subtract y from both sides:

x=5-y

Now, substitute "5-y" for "x" in the first equation:

(5-y)^2-y^2=100

Note that:

(a-b)^2=a^2-2ab+b^2

25-10y+y^2-y^2=100

Cancel out like terms:

25-10y=100

Subtract 25 from both sides:

-10y=75

Divide both sides by -10

y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}

Now, substitute this value back into either of the equations to solve for x.

x+y=5\\x-\frac{15}{2}=5\\

Add 15/2 to both sides:

x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}

Now, find the difference:

x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20

8 0
3 years ago
Find the<br>degree of the algebraic<br>expression:<br>3x^3 + 3x^2y^2 - y^2​
Ghella [55]

Answer:

Degree 4

Step-by-step explanation:

Expression:

3x^3 + 3x^2y^2 - y^2​

  • 3x^3 - degree 3
  • 3x^2y^2 - degree 2+2 = 4
  • y^2​ - degree 2

So the expression has degree 4 as per the highest degree of the terms

4 0
3 years ago
The quotient of 45 and 4 2/5? What is the expression for that ?
Andru [333]

Answer:

Expression: 45 ÷ 4\frac{2}{5}  

Answer: 45 ÷ 4\frac{2}{5} = \frac{225}{22}

3 0
3 years ago
The length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, wo
andrew11 [14]

Answer:

<em>24 children</em>

Step-by-step explanation:

If the length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, this is represented as;

y  \alpha \frac{1}{x}\\y =\frac{k}{x}

k is the constant of proportionality

If it takes 16 children 6 hours to put the jigsaw puzzle together, this means at x = 16, y = 6

Substitute:

6 = k/16

k = 6*16

k = 96

W are to find number of children needed to put the same jigsaw puzzle together in 4 hours, this is done by substituting k = 96 and y = 4 into the expression y = k/x

y = 96/4

y = 24

<em>Hence it will take 24 children to put the same jigsaw puzzle together in 4 hours</em>

<em></em>

5 0
3 years ago
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