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shusha [124]
3 years ago
14

The quotient of a number p and 3 is at most 16.

Mathematics
1 answer:
serg [7]3 years ago
6 0
"the quotient of a number p and 3 is at most 16"
the number is p
"the quotient of a number p and 3" is just like saying
3/p
"is at most 16" is 
\leq 16
add them together to get
\frac{3}{p}  \leq 16
multiply both sides by p to get
3 \leq 16p
divide both sides by 16 to get
p \leq  \frac{3}{16}
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What are the slope and the y-intercept of the linear function that is represented by the graph?
Naddik [55]

The slope is the change in y over the change in x.

The first number in the parentheses is the x value, the second number is the y value.

Slope = (0-3) / (4-0)

Slope = -3/4

The y intercept is the y value when x is 0.

The given point (0,3) has x as 0, so the y intercept would be 3

Answers: slope = -3/4, y intercept = 3

6 0
2 years ago
The coordinates of the vertices of a rectangle are (−3, 4) , (7, 2) , (6, −3) , and (−4, −1) . What is the perimeter of the rect
ki77a [65]

Answrer

Find out the what is the perimeter of the rectangle .

To prove

Now as shown in the figure.

Name the coordinates as.

A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .

In rectangle opposite sides are equal.

Thus

AB = DC

AD = BC

Formula

Disatnce\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2}}

Now the points  A(−3, 4) and  B(7, 2)

AB = \sqrt{(7- (-3))^{2} +(2- 4)^{2}}

AB = \sqrt{(10)^{2} +(-2)^{2}}

AB = \sqrt{100+4}

AB = \sqrt{104}

AB = 2\sqrt{26}\units

Thus

CD= 2\sqrt{26}\units

Now the points

A (−3, 4) , D (−4, −1)

AD = \sqrt{(-4 - (-3))^{2} +(-1- 4)^{2}}

AD = \sqrt{(-1)^{2} +(-5)^{2}}

AD = \sqrt{1 + 25}

AD = \sqrt{26}\units

Thus

BC = \sqrt{26}\units  

Formula

Perimeter of rectangle = 2 (Length + Breadth)

Here

Length = 2\sqrt{26}\ units

Breadth = \sqrt{26}\ units  

Perimeter\ of\ rectangle = 2(2\sqrt{26} +\sqrt{26})

Perimeter\ of\ rectangle = 2(3\sqrt{26})

Perimeter\ of\ rectangle = 6\sqrt{26}

\sqrt{26} = 5.1 (Approx)

Perimeter\ of\ rectangle = 6\times 5.1

Perimeter of a rectangle = 30.6 units.

Therefore the perimeter of a rectangle is 30.6 units.

8 0
3 years ago
For the equation, decide if it is always true or never true.<br><br> x + 1/2 = x − 1/2
Lorico [155]

Answer:

Step-by-step explanation:

its false

3 0
2 years ago
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How did you do? Rate your work on a scale of 1 to 5, with 5 as the highest score. Then write a brief evaluation of your work bel
Arte-miy333 [17]

Answer:

there have answer use solutions problem or write in note

Step-by-step explanation:

maybe if I can answer

6 0
3 years ago
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You have $75.00 to spend at the mall. You want to buy a hoodie that costs $80.00. The store is having a 20%-off sale. (There is
Juli2301 [7.4K]
$80.00 x 0.20 = $16.00
$80.00 - 16.00 = $64.00
the hoodie costed $64.00
you were left with $16 to spare

7 0
3 years ago
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