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4 years ago

60 is 25% of what number?

2 answers:

7 0

$\begin{array}{ccc}25\%&-&60\\\\100\%&-&x\end{array}\\\\multiply\ cross\\\\25x=60\cdot100\ \ \ /:25\\\\x=\frac{6000}{25}\\\\x=240$

fredd [130]4 years ago

6 0

$1\% =\frac{1}{100}\\ \\25 \ \% * x =60\\ \\ \not25^1*\frac{1}{\not100^4}x = 60 \\ \\\frac{1}{4}x =60 \ \ /*4\\ \\x=60*4\\ \\ x=240$

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Solve the system of equations. x=y−9 8x−y=0 X=? Y=?

Nataly [62]

Answer:

X = 9/7

Y = 72/7

Step-by-step explanation:

You need to subtract equation 1 by equation 2 to get rid of y. Then substitute your answer to find y.

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3 years ago

Write the equation of a line that is perpendicular to x=5and that passes through the point (-7,-5)

murzikaleks [220]

Answer:

y = -5

Step-by-step explanation:

A line perpendicular to x = 5 is a horizontal line. Here this horiz. line passes through y = -5. This last result is the desired equation.

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3 years ago

Hugo and Viviana work in an office with eight other coworkers. Out of these 10 workers, their boss needs to choose a group of fo

Doss [256]

Answer:182 ways

Step-by-step explanation:

Given

there are total of 10 workers in office

No of ways to select 4 workers out of 10 workers $=^{10}C_4$

$=\frac{10\times 9\times 8\times 7}{4\times 3\times 2\times 1}=210$

(b)If hugo and Viviana refuse to work together then

then no of ways in which hugo anf Viviana work together

$=^{8}C_2=28$

Therefore total no of ways in which Hugo and Viviana do not work together is $=210-28=182\ ways$

3 0

4 years ago

How long was a million days ago in hours ?

Komok [63]

24000000. 1000000*24= 24000000, therefore, a million days ago in hours would be 24000000.

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4 years ago

Find the perimeter AND area of the parallelogram ABCD. Show all work

nexus9112 [7]

Since, this is parallelogram

so, opposite sides are equal

We will find value of sides

Calculation of AB:

we are given point A=(-2,3)

point B=(4,0)

we can use distance formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

now, we can plug values

$AB=\sqrt{(4+2)^2+(3-0)^2}$

$AB=3\sqrt{5}$

Since, this is parallelogram

so, opposite sides are equal

so,

$CD=AB=3\sqrt{5}$

Calculation of AD:

point A =(-2,3)

point D=(-5,2)

we can use distance formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

now, we can plug values

$AD=\sqrt{(-5+2)^2+(2-3)^2}$

$AD=\sqrt{10}$

Since, this is parallelogram

so, opposite sides are equal

so,

$BC=AD=\sqrt{10}$

Calculation of AE:

point A=(-2,3)

point E=(-3,1)

we can use distance formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

now, we can plug values

$AE=\sqrt{(-3+2)^2+(1-3)^2}$

$AE=\sqrt{5}$

(a)

we know that

perimeter of a parallelogram is sum of all sides

so,

perimeter is

$=AB+BC+CD+DA$

now, we can plug values

$=3\sqrt{5}+\sqrt{10}+3\sqrt{5}+\sqrt{10}$

$=6\sqrt{5}+2\sqrt{10}$ ...........Answer

(b)

we can use area of parallelogram formula

$A=AE\times CD$

we can plug values

$A=\sqrt{5}\times 3\sqrt{5}$

$A=15$ ............Answer

4 0

3 years ago