Which is 592/17 = 34.82 Rounding to the nearest tenth? Is 35.
Answer:
-62/23 degrees per hour
Step-by-step explanation:
Do this by dividing the total change in temperature (-15 1/2 degrees) by the total elapsed time (5 3/4 hrs):
-31/2 degrees -62/4 degrees Note: convert 31/2 to 62/4
--------------------- = ------------------------ = -62/23 degrees per hour
23/4 hrs 23/4 hrs
<span>5x ^2+ 15x = 0
</span><span>3x ^2 + 5x - 7 = 0
</span><span>x ^2 - 4x = 4x + 7</span>
Answer:
(a)The cost of ordering 3 Custom T-shirts is $39.
The cost of ordering 3 Fancy T-shirts is $75
(b)15 T-Shirts
Step-by-step explanation:
(a)Let n be the number of T-Shirts ordered
Custom T-shirts charges a one-time $15 set up fee and $8 per shirt ordered.
Cost, C=15+8n
Therefore, the cost of ordering 3 Custom T-shirts
= 15+8(3)
=15+24
=$39
Fancy T-shirts charges a one-time $60 set up fee and $5 per shirt ordered
Cost, C=60+5n
Therefore, the cost of ordering 3 Fancy T-shirts
= 60+5(3)
=60+15
=$75
(b)We are to determine the number, n at which the costs, C will be equal.
If C=60+5n and C=15+8n are equal, then:
60+5n=15+8n
8n-5n=60-15
3n=45
n=15
Therefore, the cost of both T-shirts will be equal when 15 T-shirts are ordered.
Answer:
The length of 
is;
D. 38 units
Step-by-step explanation:
The given parameters are;
The type of the given quadrilateral FGHI = Rectangle
The diagonals of the quadrilateral = and 
The length of IE = 3·x + 4
The length of EG = 5·x - 6
We have from segment addition postulate, = IE + EG
The properties of a rectangle includes;
1) Each diagonal bisects the other diagonal into two
Therefore, bisects , into two equal parts, from which we have;
IE = EG
= IE + EG
3·x + 4 = 5·x - 6
4 + 6 = 5·x - 3·x = 2·x
10 = 2·x
∴ x = 10/2 = 5
From which we have;
IE = 3·x + 4 = 3 × 5 + 4 = 19 units
EG = 5·x - 6 = 5 × 5 - 6 = 19 units
= IE + EG = 19 + 19 = 38 units
= 38 units
2) The lengths of the two diagonals are equal. Therefore, the length of segment is equal to the length of segment
Mathematically, we have;
= = 38 units
∴ = 38 units.
