Answer:
Step-by-step explanation:
Before calculating the scale we require the dimensions to be in the same units.
Using the conversion
1 yard = 3 ft and
1 foot = 12 inches, then
5 yards = 5 × 3 × 12 = 180 inches
The scale is then
2 in : 180 in ← divide both quantities by 2
= 1 : 90
=
The perimeter of a rectangle is expressed as:
P = perimeter
l = length
w = width
P = 2(l + w)
Plug in our values to the formula mentioned above
32 m = 2(l + 5).
Start by dividing each side by 2.
16 = l + 5.
Subtract 5 from each side.
11 = l.
The length of your town is 11 miles
<h3>The number of beads lina has is 31</h3><h3>
Laura made a mistake by adding the constant 7 and variable 4b</h3>
<em><u>Solution:</u></em>
Given that,
Laura wrote and solved the following expression to find the total number of beads Lina has
There are 6 beads in each packet
7+4b = 11b
= 11(6)
=66
From given,
Lina has a total of 7 + 4b beads
Given that, There are 6 beads in each packet
Substitute b = 6
7 + 4(6)
Simplify
7 + 24
Add
31
Thus, she has a total of 31 beads and not 66 beads
Laura made a mistake by adding the constant 7 and variable 4b
But a constant and variable cannot be added
Answer:
A i. a:c=3:10
ii. a:b:c=2:5:10
B i. x:z=2:5
ii. x:y:z=2:4:5
Step-by-step explanation:
A.) If a:b = 2:5 and b:c = 3:4, find (i) a:c(ii) a:b:c
a:b=a/b=2/5
b:c=b/c=3/4
a/b*b/c=a/c
2/5*3/4=a/c
6/20=a/c
3/10=a/c
Therefore, a:c=3:10
a:b:c
a:b=2:5
b:c=3:4
b is common to both ratios
The value of b in the first ratio is 5 and b is 3 in the second ratio
Lets take the LCM of both values
LCM of 5 and 3=15
So, we will change the value of b in the first ratio and second ratio to 15
By doing this, we will multiply the whole first ratio by 3
We have, 6:15
We multiply the whole second ratio by 5
We have, 15:20
Therefore a:b:c=6:15:20
=2:5:10
B. If x:y = 1:2 and y:z = 4:5,
x:y=x/y=1:2
y:z=y/z=4:5
x/y*y/z=x/z
1/2*4/5=x/z
4/10=x/z
2/5=x/z
Therefore, x:z=2:5
x:y:z
x:y=1:2
y:z=4:5
y is common to both ratio
Take the LCM of y values in both ratio
LCM of 2 and 4 =4
So,we will change the value of y in the first and second ratio to 4
By doing this, we will multiply the whole first ratio by 2
We have, 2:4
We will also multiply the whole second ratio by 1
We have, 4:5
Therefore, x:y:z=2:4:5
