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2 years ago

45% of 60 Whats the answer? Please add a model. If you can.

Mathematics

2 answers:

n200080 [17]2 years ago

3 0

I dont have a model, sorry. The answer to your Q is: 27. 45% of 60,00, equals to 27,00.

Vlad [161]2 years ago

3 0

<span>45% of 60 = (45/100)·(60/1) = 2700/100 = 27

$\it p \% \ of \ x = \dfrac{p}{100} \cdot x
\\\;\\ \\\;\\
20\%\ of\ 80 = \dfrac{20}{100}\cdot 80 = \dfrac{1600}{100} = 16$

</span>

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2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

<u>Slope:</u>

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

<u>Slope:</u>

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$

So the diagonals measure the same, therefore this is a rectangle.

5 0

3 years ago

The daily production cost, C, for x units is modeled by the equation:

tiny-mole [99]

First find the domain(the set of all first coordinates in a function) by finding where the equation(a mathematical statement that says two expressions have the same value; any number sentence with an = sign) is defined.

After that you should know what to do. I don't know how to work this problem cuz i'm barely in 9 grade. But somehow, I know this.

(−∞,∞)

{x|x∈R}

If this helped, please let me know and give me brainliest, please!!

If this is incorrect, please let me know so I can fix it!

4 0

3 years ago

Read 2 more answers

PLZ HELP ME I NEED THIS FAST WILL GIVE BRAINLIEST

Bas_tet [7]

Step-by-step explanation:

The formula the amusement parc use is 100y-39000=55(x-800)

The slope intercept form of a function is wriiten generally as:

y = mx+c

m is a slope
c is a constant and represents the y-intercept
x is a variable
y is the input of the function

Let's rewrite our equation in the precedent form

100y-39000 = 55(x-800)
100y -39000 = 55x-44000 add 39000 in both sides
100y-39000+39000 = 55x-44000+39000
100y = 55x-5000 divide both sides by 100
y = 0.55x-50

The slope intercept form of this equation is:

y= 0.55x-50

4 0

3 years ago

Read 2 more answers

a school paid $31.50 for each calculator, if the school spent 504 dollars on calculators how many did the school buy?

monitta

The school bought 16 calculators.

504/31.50 =16

7 0

3 years ago

Rajan had 30 dollars to spend on 3 gifts. He spent 9 1 4 dollars on gift A and 5 4 5 dollars on gift B. How much money did he ha

Lyrx [107]

Answer:

$15 1/10

Step-by-step explanation:

Given that :

Total amount to spend = $30

Amount spent on Gift A = $9 1/4

Amount spent on Gift B = $5 4/5

Amount left to spend on gift C ;

$30 - (9 1/4 + 5 4/5)

$30 - (37/4 + 29/5)

$30 - (185 + 116)/20

$30 - 298/20

30/1 - 298/20

$(600 - 298) / 20

$302/20

$15 2/20

= $15 1/10

3 0

3 years ago