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2 years ago

Drag the number to match each rate to its equivalent ratio.

Mathematics

1 answer:

Pepsi [2]2 years ago

4 0

36 mpg = 153 miles per 4.25 gallons
35 mpg = 77 miles per 2.2 gallons
34 mpg = 119 miles per 3.5 gallons

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A dime weighs about 1/12 ounce. Jody has 1 pound (16 ounces) of dimes. About how many dimes she has?

Ilya [14]

16 * 12 = 192 dimes should be your answer.

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3 years ago

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A delivery truck travel 324 miles on 18 gallons of gas how far can be traveled on 41 gallons of gas

Ierofanga [76]

Well divide 324 by 18= A unit rate of 18 miles per gallon. Now just multiply 18 by 41 which is 738.

Answer:738 miles

7 0

2 years ago

What is the simplified value of the expression below? 4.2+0.6/3-5(0.9-0.5) will mark the brainliest

makkiz [27]

Hi!

4.2+0.6/3-5(0.9-0.5) = 4.2 + 0.2 - 5*0.4 = 4.4 - 2 = 2.4

Hope this helps!

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3 years ago

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Three cell phones towers can be modeled by the points X(6,0), Y(8,4), and Z(3,9). Determine the location of another cell phone t

Marat540 [252]

Answer:

The location of the new cell phone tower is $(h,k) = (3,4)$ , and the equation of the circle is $x^{2}+y^{2} -6\cdot x - 8\cdot y = 0$ .

Step-by-step explanation:

The location of the cell phone tower coincides with the location of a circunference passing through the three cell phone towers. By Analytical Geometry, the equation of the circle is represented by the following general formula:

$x^{2} + y^{2}+A\cdot x + B\cdot y +C = 0$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$A$ , $B$ , $C$ - Circunference constants.

Given the number of variable, we need the location of three distinct points:

$(x_{1},y_{1}) = (6,0)$

$36 +6\cdot A + C = 0$

$(x_{2},y_{2}) = (8,4)$

$80 + 8\cdot A + 4\cdot B + C = 0$

$(x_{3},y_{3}) = (3,9)$

$90 + 3\cdot A + 9\cdot B + C = 0$

Then, we have the following system of linear equations:

$6\cdot A + C = -36$ (2)

$8\cdot A +4\cdot B + C = -80$ (3)

$3\cdot A + 9\cdot B + C = -90$ (4)

The solution of this system is:

$A = -6$ , $B = -8$ , $C = 0$

By comparing the general form with the standard form of the equation of the circunference is:

$A = -2\cdot h$ (5)

$B = -2\cdot k$ (6)

$C = h^{2}+k^{2}-r^{2}$ (7)

Where:

$h$ , $k$ - Coordinates of the center of the circle.

$r$ - Radius of the circle.

If we know that $A = -6$ , $B = -8$ and $C = 0$ , then coordinates of the center of the circle and its radius are, respectively:

$h = -\frac{A}{2}$

$k = -\frac{B}{2}$

$r = \sqrt{h^{2}+k^{2}-C}$

$h = 3$ , $k = 4$ , $r = 5$

The location of the new cell phone tower is $(h,k) = (3,4)$ , and the equation of the circle is $x^{2}+y^{2} -6\cdot x - 8\cdot y = 0$ .

3 0

2 years ago

X+2y=19 and x+y=13 in substitution methood

densk [106]

X=7, y=6. that’s your answer!

3 0

2 years ago