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Digiron [165]
3 years ago
6

A boat can travel 105 miles on 15 gallons of gasoline. How much gasoline will it need to go 140 miles?

Mathematics
2 answers:
solmaris [256]3 years ago
7 0
20 gallons
First you have to find the ratio or unit rate so 105/15= 140/x x is the gasoline needed so when you cross multiply you get 2100/105x divide both sides by x and you get 20
Mrac [35]3 years ago
4 0

Answer:

20 gallons

Step-by-step explanation:

105/15=7

7*20=140

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Find the gradient of the line segement between the points (0,-6) and (2,-16)
yulyashka [42]

answer = 5

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:

A line is increasing, and goes upwards from left to right when m > 0

A line is decreasing, and goes downwards from left to right when m < 0

A line has a constant slope, and is horizontal when m = 0

A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m =

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x2 - x1

7 0
2 years ago
Use the equation below to find y, if m=2, x=8, and b=3.<br>y=mx+b<br>y =​
fredd [130]

Answer:

19

Step-by-step explanation:

y=2×8+3

=16+3=19

please like and Mark as brainliest

6 0
2 years ago
Suppose you had to find 4 x 57. How are the expanded algorithm and the standard algorithm alike? And how are they different?
Nookie1986 [14]
The expanded algorithm is given as follows:

4 x 57 = (4 x 50) + (4 x 7) = 200 + 28 = 228


The standard algorithm is given as follows:

\ \ \ \ \ \ {_2}\\{ \ \ \ \ \ \ 5 \ 7} \\ \times \ \ \ \ \ 4 \\ = \overline{\underline{2\ 2\ 8}}
4 0
3 years ago
How do you express height in feet by only using a mixed number
guajiro [1.7K]
Height and then the inches over 12. 
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8 0
3 years ago
Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2a
Vitek1552 [10]

Answer:

2ab - 6a + 5b - 15

Step-by-step explanation:

Given

2ab - 6a + 5b + \_

Required

Fill in the gap to produce the product of linear expressions

2ab - 6a + 5b + \_

Split to 2

(2ab - 6a) + (5b + \_)

Factorize the first bracket

2a(b - 3) + (5b + \_)

Represent the _ with X

2a(b - 3) + (5b + X)

Factorize the second bracket

2a(b - 3) + 5(b + \frac{X}{5})

To result in a linear expression, then the following condition must be satisfied;

b - 3 = b + \frac{X}{5}

Subtract b from both sides

b - b- 3 = b - b+ \frac{X}{5}

- 3 = \frac{X}{5}

Multiply both sides by 5

- 3 * 5 = \frac{X}{5} * 5

X = -15

Substitute -15 for X in 2a(b - 3) + 5(b + \frac{X}{5})

2a(b - 3) + 5(b + \frac{-15}{5})

2a(b - 3) + 5(b - \frac{15}{5})

2a(b - 3) + 5(b - 3)

(2a + 5)(b - 3)

The two linear expressions are (2a+ 5) and (b - 3)

Their product will result in 2ab - 6a + 5b - 15

<em>Hence, the constant is -15</em>

3 0
3 years ago
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