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docker41 [41]
2 years ago
8

27. A 35 foot long tube is cut into two pieces with ratio 4:5 Find the length of the shorter piece.

Mathematics
2 answers:
puteri [66]2 years ago
8 0
The ratio 4:5> 4x+ 5x=35> 9x=35> x=3.8 and then you do (3.8)3.8=14.7. Therefore there is not a correct answer.
polet [3.4K]2 years ago
7 0

Answer:

x= 16 ft.

Step-by-step explanation:

Let 'x' and 'y' are the lengths of the two pieces then:

1.) x + y = 36

2.) x : y = 4 : 5 cross multiply

3.) 5x = 4y

by solving the system of equations

x + y = 36

5x = 4y

we find

x = 16 ft

y = 20 ft

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there is a walking trail at the park. four laps around the trail is a distance of 1 mile. how many laps does it take to walk 3/4
dybincka [34]
1 ÷ 4 1/4 so one lap is a quarter of a mile meaning 3 laps is 3/4 of a mile
4 0
3 years ago
Brian has 40000 to invest in a mix of corporate and municipal bonds. The corporate bond pays 10% simple annual interest and the
jonny [76]

Answer:

Sum of money invested in corporate bonds = 30,000

Step-by-step explanation:

Total sum = 40,000

The rate of interest for corporate bonds = 10 % = 0.1

The rate of interest for municipal bonds = 6 % = 0.06

Total interest = 3600

Let sum of money invested in corporate bonds = x

The sum of money invested in municipal bonds = 40000 - x

x × 0.1 × 1 + (40000 - x) × 0.06 × 1 = 3600

(0.1- 0.06)x + 2400 = 3600

0.04 x = 1200

x = 30,000

Since x =  sum of money invested in corporate bonds

So  sum of money invested in corporate bonds = 30000

4 0
3 years ago
I WAS ONLY ABLE TO SELECT 40 PTS THIS TIME, PLS ANSWER THIS ONE IT HAS THE PICTURE WITH IT.
BaLLatris [955]
Okay so the first one is right.
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the third one is right.
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4 0
3 years ago
Read 2 more answers
Solve the expresssion x − 5 = 17
CaHeK987 [17]

Answer: x = 22

Step-by-step explanation:

We must isolate the x by itself.

We need to add 5 to both sides of the equation so it cancel out from the side with x.

So x = 22

7 0
3 years ago
The area of a trapezoid is 243cm2. The height is 18cm and the length of one of the parallel sides is 10cm. Find the length of th
Irina18 [472]

Answer:

Side_2 = 17\ cm

Step-by-step explanation:

Given

Shape: Trapezoid

Area = 243cm^2

Height = 18cm

Side_1 = 10cm

Required

Determine the length of the second parallel side

The area of a trapezoid is:

Area = \frac{1}{2}(Side_1 + Side_2) * Height

Substitute values for Area, Height and Side1

243 = \frac{1}{2}(10 + Side_2) * 18

Multiply both sides by 2

2 * 243 = 2 * \frac{1}{2}(10 + Side_2) * 18

486 = (10 + Side_2) * 18

Divide both sides by 18

27 = 10 + Side_2

Side_2 = 27 - 10

Side_2 = 17\ cm

Hence;

<em>The length of the second parallel side is 17cm</em>

8 0
3 years ago
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