Answer:
1/4 of a mile in 1/10 of an hour
you can set up a proportion
(1/4)/(1/10)=2/H
you can now simplify or cross multiply
simplifying the left side
(1/4) divided by (1/10) equals (1/4) times (10/1)
(1/4)*(10/1)=10/4=5/2
5/2=2/H
cross multiply
5H=2*2
5H=4
H=4/5 of an hour or (4/5)*60=48 minutes
another solution...
2/(1/4)=8 and 8*(1/10)=8/10=4/5 of an hour or 48 minutes again
Answer:
a = $80.3
b = $80
c = 4
d = 16
e = 4
f = 88
g = $132
h = 33%
i = 6
j = 30
k = 21
l = $90
m = $36
o = 21/50
p = 105
q = 7
r = 8 cm
s = 2.4
t = 4
u = 400cm
v = $280
Step-by-step Explanation:
==>Increasing $72 by 10% to get a
a = 110% of $72 = 110% × $73
a = 1.1 × 73
a = $80.3
==>a ($80.3) rounded to the nearest 10 to find b = $80
b = $80
==>Writing b (80) as the product of its primes I.e.

Thus, 80 = 2⁴ * 5
c = 4
==>Calculating c² = d
d = 4² = 16
d = 16
==> ²/8 of d = e
e = ²/8 × 16
e = 2 × 2
e = 4
==> e% of 2200 = f
f = 4% × 2200
f = 0.04 × 2200
f = 88
==>Converting £f to $ = g
If £1 = $1.5,
£88 = $g
1 × g = 1.5 × 88
g = $132
==> Converting
into % = h%
h = 132÷400 ×100
h = 0.33 × 100
h = 33%
==> √(h + 3) = i
i = √(33 + 3)
i = √36
i = 6
==> i × (3 + 2) = j
j = 6 × (3 + 2)
j = 6 × 5
j = 30
==> j% of 70 = k
k = j% × 70
k = 30% × 70
k = 0.3 × 70
k = 21
==> If k bottles = $63, 30 bottles = $l
21 bottles = $63
30 bottles = $l
21 × l = 63 × 30
21l = 1,890
l = 1,890/21
l = $90
==>If Tim and Mike (m) shares $90 in the ratio 3:2, Mike (m) would receive thus:
⅖ × $90 = m
m = 0.4 × 90
m = $36
==> √m + m = n
n = √36 + 36
n = 6 + 36
n = 42
==>Converting n% to fraction = o
Thus, o = 42/100
o = 21/50
==> o of 250 = p
p = 21/50 × 250
p = (21 × 250)/50
p = 21 × 5
p = 105
==> expressing p as a product of its primes i.e. p = 3 × 5 × q
105 = 3 × 5 × 7
Therefore, q = 7
==> Given a rectangle with dimensions of q cm and r cm, with an area of 56cm². Let's find r.
Area of rectangle = length × width = q × r
Area = 56 cm²
q = 7 cm
r = ?
56 = 7 × r
56/7 = r
8 = r
r = 8 cm
==> r × 0.3 = s
s = 8 × 0.3
s = 2.4
==> s ÷ 0.6 = t
t = 2.4 ÷ 0.6
t = 4
==> If t is in meters, converting t to cm will give us u
Since 1m = 100cm
4m = u cm
1 × u = 100 × 4
u = 400cm
==> Vikki (v) and John shares $u in the ratio 7:3. Thus, Vikki (v) would receive the following:
v = ⁷/10 × $400
v = 0.7 × 400
v = $280
Step 2: <span>Inverse Property of Addition
</span><span>any number added to its opposite will equal zero
</span>in this case + 20 - 20 = 0
answer
Inverse Property of Addition
We are given : Zeros x=7 and x=4 and leading coefficent 1.
In order to find the quadratic function in standard form, we need to find the factors of quadratic function first and the multiply by given leading coefficent.
For the given zeros x=7 and x=4, we get the factors (x-7) and (x-4).
So, we need to multiply (x-7) and (x-4) by foil method.
We get
(x-7)(x-4) = x*x + x* -4 -7*x -7*-4
x^2 -4x -7x +28.
Combining like terms, we get
-4x-7x = -11x
x^2 -4x -7x +28 = x^2 -11x +28.
Now, we need to multiply x^2 -11x +28 quadratic by leading coefficent 1.
We get
1(x^2 -11x +28) = x^2 -11x +28.
Therefore, the required quadratic function in standard form is x^2 -11x +28.