Answer:
75
Step-by-step explanation:
First divide 2/5 to get 0.4. Then divide 30 by 0.4 to get the answer. A simple way to think about it is how many 0.4 grams are in 30 gram tube.
.04 times 33200 = 1328
33200-1328= 31872
The new price is $31872
Answer:
Jeremy Will have more than just $200 to spend on Christmas presents.
Explanation :
He has a total of $1200.
He spends a $120 for car insurance. (1)
He needs to spend $25 a week for lunch. He has to do this for 16 weeks so 25*16 = $400. (2)
He needs to spend $20 a week for entertainment. For 16 weeks that'll be 20*16 = $320 (3)
adding (1) (2) and (3)
We get Jeremy's total spending will be $840. Jeremy has $1200.
1200-840 = $360
So Jeremy will have $360 to spend on Christmas present.
Answer:
m∠DRM = 45°
Step-by-step explanation:
∵ PSTR is a parallelogram
∴ TS // RP ⇒ opposite sides
∴ m∠T + m∠R = 180° ⇒ (1) (interior supplementary angles)
∵ m∠T : m∠R = 1 : 3
∴ m∠R = 3 m∠T ⇒ (2)
- Substitute (2) in (1)
∴ m∠T + 3 m∠T = 180
∴ 4 m∠T = 180
∴ m∠T = 180 ÷ 4 = 45°
∴ m∠R = 3 × 45 = 135°
∵ m∠R = m∠S ⇒ opposite angles in a parallelogram
∴ m∠S = 135°
∵ RD ⊥ PS
∴ m∠RDS = 90°
∵ RM ⊥ ST
∴ m∠RMS = 90°
- In quadrilateral RMSD
∵ m∠S = 135°
∵ m∠RDS = 90°
∵ m∠RMS = 90°
∵ The sum of measure of the angles of RMSD = 360°
∴ m∠DRM = 360 - ( 135 + 90 + 90) = 45°
