Answer:
4/7 yards
Step-by-step explanation:
Given that :
Required fabric is > 1/2 but < 5/8
Let required fabric = x
Then ;
Converting the fractions to decimal :
1/2 = 0.5 ; 5/8 = 0.625
0.5 < x < 0.625
3/8 yards = 0.375 ;
4/7 yards = 0.571
3/7 yards = 0.429
2/4 yards = 0.5
0.5 < 0.571 < 0.625
From the options, only 4/7 yards satisfies the condition :
It will be (7x+8)+(7x+8+7x=180
See Below
First, put them into y = mx + b form. From there you can graph them by identifying their slopes and y-intercepts.
Answer:
£24,980
Step-by-step explanation:
total pay = monthly salary + percent of annual profit + £250 bonus
monthly salary = £1,850
annual salary = 12 × £1,850 = £22,200
agency income = £356,000
agency costs = £280,000
annual profit = income - costs = £356,000 - £280,000 = £76,000
percent of annual profit = 3% × £76,000 = 0.03 × £76,000 = £2,280
£250 bonus = 2 × £250 = £500
total pay = monthly salary + percent of annual profit + £250 bonus
total pay = £22,200 + £2,280 + £500
total pay = £24,980
We know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²
where (h,k,l) is the center and r is the radius
we have
x²+y²+z²<span>−2x−4y+8z+17=0
</span>
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(x²+2x)+(y²-4y)+(z²+8z)=-17
<span>Complete
the square. Remember to balance the equation by adding the same constants
to each side
</span>(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=-17+1+4+16
(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=4
Rewrite as perfect squares
(x+1)²+(y-2²)+(z+4)²=4
(x+1)²+(y-2²)+(z+4)²=2²
the center is the point (-1,2,-4) and the radius is 2 units
