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ale4655 [162]
3 years ago
8

Wilma and Fred rode their bikes toward each other from points on a straight road 32 miles apart. If Fred rode 3 miles per hour f

aster than Wilma and they met in 40 minutes, how fast did each ride in mph?​
Mathematics
1 answer:
Firdavs [7]3 years ago
6 0

Answer:

wilma is 22.5 mph

fred is 25.5 mph

Step-by-step explanation:

Time:40 minutes, or 2/3 hours

Speed:

Fred:x+3

Wilma: x

Distance:32 miles

2/3(x+x+3)=32

2/3(2x+3)=32

1 1/3x+2=32

4/3x=30

x=22.5

wilma is 22.5 mph

fred is 22.5+3= 25.5 mph

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Brainly the owner of a hat store buys a hat for 5.50 he uses a markup rate up 105% what is the sale price of the hat
nirvana33 [79]

11.275 is the sale price of the hat

<u>Step-by-step explanation:</u>

Brainly the owner of a hat store buys a hat for 5.50 and he uses a mark-up rate is 105%. Need to find out what is the sale price of the hat.

Here, given data, cost price of hat = 5.5. Let the selling price of hat be x and find the data as asked in question,

                \text {Markup rate}=\frac{S . P .-C . P .}{S . P .} \times 100

                105=\frac{x-5.5}{5.5} \times 100

                \frac{105 \times 5.5}{100}=x-5.5

                \frac{577.5}{100}=x-5.5

               5.775 + 5.5 = x

Where,

S.P - sale price

C.P - cost price

Therefore, x = 11.275 is the sale price of the hat.

7 0
3 years ago
A construction crew is lengthening a road. The road started with a length of 54 miles, and the crew is adding 3 miles to the roa
patriot [66]
53+3(D) = L

53 + 3(38) =L

53 +114 = L

167=L
6 0
3 years ago
Complete the factored form.<br> 7x² +37x + 10 = (7x + 2)()
Ira Lisetskai [31]
The completed factor is (7x+2) (x+5)

7 0
3 years ago
The sum of (a + b) + c is equal to the sum of a + ( b + c) as explained by the ————.
natima [27]

Answer:

It is distributive property

3 0
3 years ago
Read 2 more answers
Tara wants to fix the location of a mountain by taking measurements from two positions 3 miles apart. From the first position, t
Black_prince [1.1K]

Answer:

Shortest distance from the mountain is 3.17 miles.

Step-by-step explanation:

From the figure attached,

Let a mountain is located at point A.

Angle between the mountain and point B (∠B) = 53°

Angle between the mountain and point C (∠C) = 78°

Distance between these points = 3 miles

Since, m∠A + m∠B + m∠C = 180°

m∠A + 53° + 78° = 180°

m∠A = 180°- 131° = 49°

By applying sine rule in triangle ABC,

\frac{\text{sin}(49)}{BC}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}

\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}

\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}

AC = \frac{3\text{sin}(53)}{\text{sin}(49)}

AC = 3.17 miles

\frac{\text{sin}(49)}{3}=\frac{\text{sin}(78)}{AB}

AB = \frac{3\text{sin}(78)}{\text{sin}(49)}

AB = 3.89 miles

Therefore, shortest distance from the mountain is 3.17 miles.

7 0
3 years ago
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