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3 years ago

64 is 4 times the difference between a and 44, a is greater than 44

Mathematics

1 answer:

Lelechka [254]3 years ago

4 0

Answer:

a is equal to 60

Step-by-step explanation:

From the question,

64 = 4(a-44)

expanding the bracket;

64 = 4a - 176

64 + 176 = 4a

240 = 4a

Divide by 4;

a = 240/4

a = 60

60 is greater than 44.

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What are the solutions to the equation 3x^2 + 15x = 18. Show your work.

balandron [24]

Assignment: $\bold{Solve \ Equation: \ 3x^2+15x=18}$

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Answer: $\boxed{\bold{x=1,\:x=-6}}$

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Explanation: $\downarrow\downarrow\downarrow$

<><><><><><><>

[ Step One ] Subtract 18 From Both Sides

$\bold{3x^2+15x-18=18-18}$

[ Step Two ] Simplify

$\bold{3x^2+15x-18=0}$

[ Step Three ] Solve With Quadratic Formula

Note: $\bold{For\:a\:quadratic\:equation\:of\:the\:form\: ax^2+bx+c=0}$

$\bold{the \ solutions \ are \ x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}$

$\bold{a=3,\:b=15,\:c=-18:\quad x_{1,\:2}=\frac{-15\pm \sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}}$

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$\bold{\frac{-15+\sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}: \ 1}$

$\bold{\frac{-15-\sqrt{15^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3}: \ -6}$

[ Step Four ] Combine Solutions

$\bold{x=1,\:x=-6}$

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$\bold{\rightarrow Mordancy \leftarrow}$

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3 years ago

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3 years ago

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-0.55 inches, 0.75 inches, 3.25 inches, -0.75 inches, and 0.7 inches.

aleksandrvk [35]

Answer:

3.25 inches, 0.75 inches, 0.7 inches, -0.55 inches, -0.75 inches

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3 years ago

By how many times does the surface area of a sphere differ if radius is double

stich3 [128]

If the radius of a sphere is doubled, the surface area becomes four times the original surface area.

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What is the value of x in the linear equation below? 4+3x-ax=9-7x+bx

Furkat [3]

Answer:

x = 5/(10 - a - b)

Step-by-step explanation:

Solve for x:

4 + 3 x - a x = 9 - 7 x + b x

Collect in terms of x:

x (3 - a) + 4 = 9 - 7 x + b x

Collect in terms of x:

x (3 - a) + 4 = x (b - 7) + 9

Subtract (b - 7) x + 4 from both sides:

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Divide both sides by 10 - a - b:

Answer: x = 5/(10 - a - b)

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