Mom drove for 11 hours.
Dad drove for 3 hours.
<u>Step-by-step explanation</u>:
- Total distance = 895 miles
- Mom drove a speed of 65 mph
- Dad drove a speed of 60 mph
Let 'x' be the number of hours drove by mom.
Let 'y' be the number of hours drove by dad.
x + y = 14 ---------------(1)
65x + 60y = 895 ---------(2)
Multiply eq(1) by 60 and subtract eq(2) from (1),
60x + 60y = 840
-(<u>65x + 60y = 895</u>)
<u> -5x = -55 </u>
x = 55/5
x = 11
∴ Mom drove for 11 hours.
Substitute x=11 in eq(1)
11+y = 14
y = 3
∴ Dad drove for 3 hours.
Answer:
45
Step-by-step explanation:
You already solved that the 2 angles of the triangle are 55° and since all of the angles are on a straight line, they add up to 180°
and the equation becomes...
3x-10+55=180
3x+45=180
Subtract 45 from both sides
3x=135
Divide by 3
x= 45
Then to double check you plug 45 as the value of x in.
3(45)-10+55=180
135-10+55=180
125+55=180
180=180
Answer:
24ft is the length of the shadow of the telephone pole
Step-by-step explanation:
Well first what I did was divide 15 by 4 which equaled to 3.75, after that the question said that the telephone pole was now 90 feet tall so I just had to divide 90 by 3.75 and then 24 ft long was the final answer. I hope that helps
Answer:
937.5 packs of apples
Step-by-step explanation:
Note that:
100p = £1
80p = x
Cross Multiply
100x = 80p × £1
x = 80/100
x = £0.8
Jay sells 10 packs of apples for 80p.
Hence:
£0.8 = 10 packs of apples
£75 = x
Cross Multiply
£0.8 × x = £75 × 10 Packs
x = £75 × 10 Packs/£0.8
x = 937.5
Therefore, to make £75 at the end of the year, he has to sell 937.5 packs of apples
Answer:
$840
Step-by-step explanation:
Callies family spends an average of $70 per month electric. At that rate what can that family expect to pay electric for 1 year
Note that:
1 year = 12 months.
Hence, if:
1 month = $70
12 months = $x
Cross Multiply
$x = 12 × $70
$x = $840
Therefore, the amount that family can expect to pay in 1 year(12 month) for electric = $840