Answer:
90 people
Step-by-step explanation:
Total: $775
DJ: $250
Cake: $75
Unknown party guests each getting $5
Let the unknown be x
We can form an equation; <em>DJ + Cake + x number of party guests = $775</em>
<em>250 + 75 + 5x = 775</em>
<em>325 + 5x = 775</em>
Subtract 325 from <u>both sides of the equals sign</u>.
<em>5x = 450</em>
Make <em>x</em> the subject and divide both sides by 5
<em>x = 90</em>
There were 90 party guests.
You can use the butterfly method. Two numbers that equal A times C must also add up to B. A=1 B=-10 C=21. A times C is 21 and B is -10. Two numbers that multiply to 21 and add to -10 are -7 and -3. Factored form: ( x - 7 )( x - 3 ).
Answer:
C. 3x+13
Step-by-step explanation:
Because
12x+52=
4(3x+13)
The 4 is the sides of a square
Answer:
3:10
Step-by-step explanation:
Answer:
340 units2
Step-by-step explanation:
draw perpendicular line from upper left corner of trapezoid to cut bottom line(=9) into two part having length 3 and 6. Now a triangle and rectangle are formed.
The triangle has base=3, angle 60 degrees and angle of 90 degrees.
Finding third angle:
180-60-90= 30
finding other two sides of triangle by using law of sines:
a/sinA=b/sinB
3/sin30=b/sin60
b=3sin60/sin30
b=3(0.866)/0.5
b=5.2
b is the perpendicular line we drew
a/sinA=b/sinB
3/sin30=c/sin90
c=3sin90/sin30
c=3(1)/0.5
c=6
c is the hypotenuse of the triangle
Now Finding the perimeter of base:
The perimeter of the base=sum of the lengths of sides.
p=6+9+6+5.2
=26.2
area of trapezoid:
A= (a+b)h/2
= (6+9)(5.2)/2
=39
total surface area of prism:
TSA= ph + 2A
where h is height of prism = 10
TSA= 26.2(10) + 2(39)
=340
Hence total surface area of the given prism is 340 units square!
