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Naily [24]
3 years ago
11

Following a severe​ snowstorm, Ken and Bettina Reeves must clear their driveway and sidewalk. Ken can clear the snow by himself

in 2 ​hours, and Bettina can clear the snow by herself in 5 hours. After Bettina has been working for 1-hour, Ken is able to join her. How much longer will it take them working together to remove the rest of the​ snow?
Mathematics
1 answer:
Mademuasel [1]3 years ago
6 0

Answer:

It will take 5.6 hours

Step-by-step explanation:

If Ken (K) can clear in two hours and bettina (B) in five hours then;

5K=2B; If B=1 K=2/5 = 0.4 (2-0.4=1.6) plus 4 from B are 5.6 or also: If B=4 (Bettina started 1 hour later 5-1=4) K=8/5=1.6 then K+B=1.6+4=5.6 h

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12. Write the equation of a parabola with vertex at<br> (2, -3) and focus at (2,5),
Tatiana [17]

Step-by-step explanation:

The basic form of equation:

(x-h)²=4a(y-k),

(h,k)=coordinates of vertex

(h, k+a) = coordinate of focus

For given parabola:

axis of symmetry: x=2

(h, k) =(2,-3)

(h, k+a)=(2,5)

k+a=5

-3+a=5

a=8(distance from vertex to focus on the axis of symmetry)

equation: (x-2)²=4×8(y+3)

(x-2)²= 32(y+3)

7 0
3 years ago
Susan worked 5 out of 8 hours during the day what percentage of the day does she work
Aleksandr-060686 [28]
5/8 * 125/125 = 625/1,000 = 0.625
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Solution: 62.5%
4 0
3 years ago
Read 2 more answers
A 4 meter ladder leans against a house forming a
Ket [755]

Answer:

2.meters

Step-by-step explanation:

Lenght of ladder = 4 m

θ = 30°

To obtain h;

Using Pythagoras rule :

Sinθ = opposite / hypotenus

Hypotenus = 4 ; opposite = h

Sin 30 = h / 4

0.5 = h / 4

h = 0.5 * 4

h = 2 m

Hence, distance between th efoot of ladder and the base of the wall is 2 m

6 0
3 years ago
Pls answer these questions .​
Agata [3.3K]

Answer:

1. PQ

2. PR

3. OR/OP

4. OR/OP

5. RO

Step-by-step explanation:

3 0
2 years ago
Question 1
vivado [14]

Answer:

33, 792

Step-by-step explanation:

first convert the 8 miles to feet because our answers are in feet.

1 mile= 5280 feet

therefore 8 miles= 5280×8

= 42240

Dale and son covered 4/5 of the 42240 feet

= 4/5×42240

= 33,782 feet

4 0
2 years ago
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