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Rom4ik [11]
4 years ago
11

Urgent help please :)

Mathematics
1 answer:
avanturin [10]4 years ago
8 0

Answer:

7w

Step-by-step explanation:

2w^2-4w+9

w^2-w+2-4+9

w+7

7w

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21 trucks, each with a 2.5-ton payload, are needed to unload a freight train. How many trucks, each with a 3.5-ton payload, woul
castortr0y [4]
Tons needed to unload a freight train= 21×2.5 =52.5
number of 3.5-ton payload trucks needed to unload a freight train=52.5÷3.5 = 15

15 Trucks , Each With A 3.5-Ton Payloaf , Would be Needed To Do The Same Job. 

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3 years ago
Is 100 fl oz greater than less than or equal to 16 pt
Harman [31]
16 pts is equal to 256 fluid ounces. 16 pints is greater than 100 fl. Hope this helps ! (:
4 0
3 years ago
The stopping distance d of an automobile is directly proportional to the square of its speed s. On one road, a car requires 75 f
Anton [14]

Answer:

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

Step-by-step explanation:

  • Direct proportion means that two quantities increase or decrease in the same ratio
  • If y is directly proportional to x (y ∝ x) , then \frac{y_{1}}{y_{2}}=\frac{x_{1}}{x_{2}}  <em>OR</em>  y = k x, where k is the constant of proportionality

∵ The stopping distance d of an automobile is directly

   proportional to the square of its speed s

- That means d ∝ s²

∴  \frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}

∵ A car requires 75 feet to stop from a speed of 30 miles per hour

∴ d = 75 feet

∴ s = 30 miles/hour

- Change the mile to feet

∵ 1 mile = 5280 feet

∴ 30 miles/hour = 30 × 5280 = 158400 feet/hour

∵  The car require to stop from a speed of 48 miles per hour

    on the same road

- Change the mile to feet

∴ 48 miles/hour = 48 × 5280 = 253440 feet/hour

∵  \frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}

- Substitute the values of d_{1} by 75 feet, s_{1} by 158400 feet/hour

   and s_{2} by 253440 feet/hour

∴ \frac{75}{d_{2}}=\frac{(158400)^{2}}{(253440)^{2}}

∴  \frac{75}{d_{2}}=\frac{25}{64}

- By using cross multiplication

∴ 25 × d_{2} = 75 × 64

- Divide both sides by 25

∴ d_{2}  = 192 feet

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

4 0
3 years ago
Find the measure of angle ABD
Brut [27]

Answer:

137

Step-by-step explanation:

The sum of all three angles; <ABC, <ABD, and <CBD is equal to 360

now we know <ABC = 118 and

the measure of central angle <CBD is equal to measure of the arc it sees so it's = 105

we are asked to find the  m<ABD

118 + 105 + <ABD = 360 add like terms

223 + <ABD = 360 subtract 223 from both sides

m<ABD = 137

5 0
2 years ago
Factor 7x^3+28x^2+21x
jarptica [38.1K]

Answer:

7x (x + 1 ) ( x + 3 )

Step-by-step explanation:

7x³ +28x² +21x

7x ( x² + 4x + 3 )

7x [ x² + 1x + 3x + 3 ]

7x [ x ( x + 1 ) + 3 ( x + 1 ) ]

7x (x + 1 ) ( x + 3 )

3 0
3 years ago
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