Answer:
2.5 hours
Step-by-step explanation:
Given that :
Temperature in Neil's city :
72.6° and rising by 1.3° per hour
Temperature in Sheppard's city :
80.4° and dropping by 1.82° per hour
In how many hours will the temperature in Neil's city be no less than the temperature in Sheppard's city
Let number of hours = h
Hence, Neil city :
72.6 + 1.3h
Sheppard city:
80.4 - 1.82h
72.6 + 1.3h ≥ 80.4 - 1.82h
1.3h + 1.82h ≥ 80.4 - 72.6
3.12h ≥ 7.8
h ≥ 2.5
Two and half hours (2 hours 30 minutes)
Answer:
The difference between 19 and 8 is 11.
Step-by-step explanation:
Given:
The difference between a number and 8 is 11
Find the number.
Solution:
Let the unknown number be 
The difference between the unknown number can be written as:

We are given that the difference =11
So we can write the equation to find
as :

Using additive property to solve for 
Adding 8 to both sides to isolate
on one side.

∴ 
∴ The unknown number = 19
Answer:
9.
Step-by-step explanation:
We have been given that dimensions of original photo are 4 inches by 6 inches. We want the photo on the poster to be of dimensions 3 feet by 4 1/2 feet.
First of all we will convert dimensions of poster from feet to inches.

Now let us compare sides of our original photo with corresponding sides of poster.
Now let us compare the second pair of corresponding sides.

We have seen that sides of poster are 9 times the sides of our original photo, therefore, the scale factor of this dilation is 9.
20+64=84 40+44=84 74+10=84 30+54=84
Answer:

Step-by-step explanation:
The picture shows three isosceles tirangles with the same legs. The base of each triangle is 12 units, 5x-3 units and 17 units.
Since the angles at vertex of each isosceles triangles are 27°, 28° and 29°, then the lengths of the bases satisfy the double inequality
15<5x-3<17
Add 3 to this inequality
15+3<5x-3+3<17+3
18<5x<20
Divide it by 5:
