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stiks02 [169]
3 years ago
8

PartA: Explain why x=6makes 4x-5< 19.

Mathematics
1 answer:
NARA [144]3 years ago
3 0

Answer:

It doesn't.

Step-by-step explanation:

If you plug in 6 in the x spots you will have:

<h3>4(6)-5 < 19</h3>

If you solve that, you will get:

<h3>19< 19</h3>

So considering that they are the same number, this doesn't make sense because it should be an equal sign.

Have a nice day!!! Please mark Brainliest!

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Shawna and Kai both work at the same pet store. On Monday, Shawna counts 52 birds and cats in the store. For the same animals, K
Maslowich
X= # of birds
y= # of cats

EQUATION 1:
x + y= 52

EQUATION 2:
birds= 2 legs
cats= 4 legs

2x + 4y= 138


STEP 1:
Solve for one variable in equation 1

x + y= 52
subtract y from both sides
x= 52 - y


STEP 2:
substitute x value in equation 2

2x + 4y= 138
2(52 - y) + 4y= 138
104 - 2y + 4y= 138
104 + 2y= 138
subtract 104 from both sides
2y= 34
divide both sides by 2
y= 17 cats


STEP 3:
substitute y value in either equation
x + y= 52
x + 17= 52
subtract 17 from both sides
x= 35 birds


CHECK:
2x + 4y= 138
2(35) + 4(17)= 138
70 + 68= 138
138= 138


ANSWER: There are 17 cats and 35 birds

Hope this helps! :)
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The sum of two whole numbers is 84, and their positive difference is 18.What are the two numbers? Please help
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Answer:

Step-by-step explanation:

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What is the slope of this graphed below?​
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Answer:

1, 2

Step-by-step explanation:

4 0
3 years ago
What is the perimeter in square units of the rectangle shown on the coordinate grid?
Rashid [163]

In order to find the Perimeter of the Rectangle, First we need to find the Length and Width of the Rectangle.

Distance between two points (x₁ , y₁) and (x₂ , y₂) is given by :

\bigstar\;\; \mathsf{Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}

There are two lengths in a rectangle. Let us find any one length of the rectangle.

I'm considering the length with co-ordinates (-8 , 2) and (-2 , 10)

Here :  x₁ = -8 and x₂ = -2 and y₁ = 2 and y₂ = 10

Substituting the values in the distance formula, We get :

\mathsf{\implies Length = \sqrt{[-2 - (-8)]^2 + [10 - 2]^2}}

\mathsf{\implies Length = \sqrt{[-2 + 8]^2 + [8]^2}}

\mathsf{\implies Length = \sqrt{[6]^2 + [8]^2}}

\mathsf{\implies Length = \sqrt{36 + 64}}

\mathsf{\implies Length = \sqrt{100}}

\mathsf{\implies Length = 10}

There are two widths in a rectangle. Let us find any one width of the rectangle.

I'm considering the width with co-ordinates (-2 , 10) and (2 , 7)

Here :  x₁ = -2 and x₂ = 2 and y₁ = 10 and y₂ = 7

Substituting the values in the distance formula, We get :

\mathsf{\implies Width = \sqrt{[2 - (-2)]^2 + [7 - 10]^2}}

\mathsf{\implies Width = \sqrt{[2 + 2]^2 + [-3]^2}}

\mathsf{\implies Width = \sqrt{[4]^2 + [-3]^2}}

\mathsf{\implies Width = \sqrt{16 + 9}}

\mathsf{\implies Width = \sqrt{25}}

\mathsf{\implies Width = 5}

Perimeter of a Rectangle is given by : 2[Length + Width]

:\implies  Perimeter of the given rectangle = 2[10 + 5]

:\implies  Perimeter of the given rectangle = 2[15]

:\implies  Perimeter of the given rectangle = 30

<u>Answer</u> : Perimeter of the given rectangle is 30 square units

4 0
3 years ago
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