Answer:
1/8
Step-by-step explanation:
Leonard spent 1 fourth of his money on a sandwich.
Fraction of money spent on sandwich = 1/4
He spent 2 times as much on a gift for his brother as on some comic books.
= 1/4 × 2
= 2/8
Hence, Fraction of money spent on Comic books = 2/8
He had 3 over 8 of his money left.
Let us represent his total money has: 1
The fraction of his money that he spent on the comic books is calculated as:
= 1 -( 1/4 + 2/8+ 3/8)
Lowest Common Denominator = 8
= 1 - (2 +2 + 3/8)
= 1- 7/8
= 1/8
Therefore, the fraction of his money that he spent on the comic books is 1/8
Answer:
<u>There are two statements that are true:</u>
<u>B. QR = 5.9 cm
</u>
<u>D. Measure of angle R = 47 degrees</u>
Step-by-step explanation:
1. Let's recall that if ΔVWX ≅ ΔPQR, then:
VW ≅ PQ
WX ≅ QR
PR ≅ VX
<u>therefore, QR is 5.9 cm and not 4.5 cm</u>
2. Let's recall that if ΔVWX ≅ ΔPQR, then:
∠V ≅ ∠P
∠W ≅ ∠Q
∠X ≅ ∠R
<u>therefore, measure of ∠R is 47° and not 28°</u>
<u>There are two statements that are true:</u>
<u>B. QR = 5.9 cm
</u>
<u>D. Measure of angle R = 47 degrees</u>
Answer:
59.5248
Step-by-step explanation:
Well, the enlargement would be 3, because 15/5 is 3. So, the new measurements are no 9x15in.
Answer:
see explanation
Step-by-step explanation:
(1)
Note the ratio of consecutive terms is common, that is
2000 ÷ 2500 = 0.8
1600 ÷ 2000 = 0.8
1280 ÷ 1600 = 0.8
This indicates that the series is geometric with common ratio r = 0.8
The sum to n terms of a geometric series is
=
← a is the first term
Here a = 2500 and r = 0.8, thus
=
=
= 8404
(2)
Note the difference in consecutive terms is common, that is
3 - 11 = - 8
- 5 - 3 = - 8
- 13 - (- 5) = - 8
This indicates that the series is arithmetic with common difference d = - 8
The sum to n terms of an arithmetic series is
= a₁ + (n - 1)d ← a₁ is the first term
Here a₁ = 11 and d = - 8, thus
= 11 + (13 × - 8) = 11 - 104 = - 93