Let us bear in mind the equivalent value of these coins:
One dime = $0.10
One quarter = $0.25
Let x = number of dimes
y<span> = number of quarters</span>
Since the boy has 70 coins in total, we can say that:
<span>x + y = </span><span>70 </span>(can be written as x = 70 – y)
Since the boy has a total of $12.40, we can say that:
0.10x + 0.25y = 12.40
To solve this problem, we need to solve this system of equation. We have to substitute the value of x as written in the first equation (x = 70 –y)
0.10(70 – y) + 0.25y = 12.40
7 – 0.10y + 0.25y = 12.40
0.15y = 5.40
y = 36
X = 70 – 36
X = 34
Therefore,<span> the boys </span>has<span> 34 dimes and 36 quarters. To check our answer, we just have to check if his money would total $12.40.</span>
34 dimes = $3.40
36 dimes = $9.00
<span>Total </span><span>$12.40</span>
Answer:
ST = 12 units
Step-by-step explanation:
Δ RAS and Δ TES are similar triangles, thus the ratios of corresponding sides are equal, that is, noting that SR = 21 - ST, thus
= 
substitute values
= 
( cross- multiply )
6ST = 8(21 - ST)
6ST = 168 - 8ST ( add 8ST to both sides )
14ST = 168 ( divide both sides by 14 )
ST = 12
Answer:
77% to the nearest whole number
Step-by-step explanation:
This is 60187 / 78250
= 0.7691
= 77%
<span>Row 1 3 ft 91.44 cm
The ratio is 91.44 cm/ 3 ft = 30.48 cm/ft
</span><span>Row 2 6 ft 172.88 cm
The ratio is 172.88 cm / 6 ft = 28.81 cm/ft which ius not the same as 30.48 cm/ft.
</span><span>Row 3 7 ft 213.36 cm
</span>
<span>The ratio is 213.36 cm/ 7 ft = 30.48 cm/ft, which is the same as the first ratio.
Since 2 rows have the ratio 30.48 cm/ft, this ratio is correct. The ratio 172.88 cm / 6 ft is incorrect.
6 ft * 30.48 cm/ft = 182.88 cm
Answer: </span>
<span>B.Row 2 should show 6 feet is equivalent to 182.88 centimeters.</span>
Answer:
Option B, At least three will have the transponder
Step-by-step explanation:
<u>Step 1: Find the probability in 6 cars</u>
6 * %80 or 6 * 0.8
4.8
Answer: Option B, At least three will have the transponder
