Answer:
6.75
Step-by-step explanation:
4+8+6+9=27
27/4(people)= 6.75
If you divide 40 by 8
40 ÷ 8 = 5
Multiply 5 by 7
5 × 7 = 35
35 is 7/8 of 40.
15,17,19
Suppose the three odd integers are #n#, #n+2# and #n+4#
Their sum is:
#n + (n+2) + (n+4) = 3n+6#
#13# more than twice the largest of the three is:
#2(n+4)+13 = 2n+21#
From what we are told these two are equal:
#3n+6 = 2n+21#
Subtract #2n+6# from both sides to get:
#n = 15#
So the three integers are:
#15, 17, 19#
Use quadrratic equation discriminant
for
ax²+bx+c=0
if b²-4ac is the discriminant
if it is greater than 0, then it has 2 real number solutions
if it is equal to 0 then it has 1 real number solution
if it is less than 0 then it has 0 real number solutions
so
1x²+3x+j=0
b²-4ac=3²-4(1)(j)
9-4j
to have it have a real number solution, it must be greater than 0
9-4j>0
9>4j
9/4>j
j<9/4 is the solution area
Answer:
A
Step-by-step explanation:
using the theorem of Pythagoras
<em>x</em><em> </em><em>=</em><em> </em><em>sqrt</em><em>*</em><em> </em><em>1</em><em>9</em><em>.</em><em>6</em><em> </em><em>^</em><em>2</em><em> </em><em>-</em><em> </em><em>1</em><em>5</em><em>.</em><em>4</em><em>^</em><em>2</em><em>*</em>
<em>x</em><em> </em><em>=</em><em> </em><em>7</em><em>×</em><em> </em><em>sqrt</em><em>*</em><em> </em><em>3</em><em>*</em>
<em>x</em><em> </em><em>=</em><em> </em><em>1</em><em>2</em><em>.</em><em>1</em><em> </em><em>units</em><em> </em>
