Given,
A sign company charges $28 per yard for each custom-made banner.
Ms.Gill orders two banners that are each 178 yards long, and one banner that is 258 yards long.
To find,
Total money paid by Ms. Gill.
Solution,
Total length of 2 banners of 178 yards = 356 yards
Third banner is 258 yards long.
Total length of the banners = 356 + 258
= 614 yards
The cost of each banner = $28 per yards.
Total amount paid by Ms. Gill is :
= $28 × 614
= $17,192
Hence, she will pay $17,192 for all the three banners.
Step-by-step explanation:
The two equation will intersect each other at the point which will be the solution of the given two equations , and the given equations are ,
On subtracting the given equations we have,
Put this value in any equation , we have ,
Hence the lines will Intersect at ,

Answer:
Arranging from longest (at top) to shortest (at bottom)
DF
EF
DE
Step-by-step explanation:
We need to place the sides of triangle DE, DF and EF from longest to shortest.
The triangle has longest side that is opposite to the largest angle
We know two angles < E= 61° , <F= 59° we need to find <D
Sum of angles of triangle = 180°
So, 61°+59°+<D=180°
120°+<D=180°
<D=180°-120°
<D=60°
So, the largest angle is <E= 61°
The longest side must be opposite to <E so, the side is DF
The second largest angle is <D=60° so, second side will be EF
The smallest angle is <F=59° so, third (shortest) side will be DE
Arranging from longest (at top) to shortest (at bottom)
DF
EF
DE
3 x 2.7 is the same as 3 x 3 x 0.9 = 9 x 0.9 = 8.1
Answer:
Distance of Sun and Mercury = 58,000,000 km.
In Scientific notation, it would be: 5.8 × 10⁷ Km
Diameter of a human hair = 0.0025 cm
In scientific notation, it would be: 2.5 × 10⁻³ cm
Before Comparison, we need to bring centimeter to Kilometers or vice-versa, so we can easily calculate then, here, we will go from cm to Km.
2.5 × 10⁻³ × 10⁻⁵ Km = 2.5 × 10⁻⁸
Now, we can compare the values,
5.8 × 10⁷ Km > 2.5 × 10⁻⁸
[ reason. - power of smaller number is in negative, it means, it is denominator, which would be very small as compared to other ]
Step-by-step explanation: