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madam [21]
4 years ago
13

Mary is three times older than seth is. if their ages total 76, how old is mary. Please answer ASAP

Mathematics
1 answer:
DedPeter [7]4 years ago
5 0

Mary = 3x

Seth = X

If we know that Mary is three times older than Seth, we can set this up into an equation.

3x + x = 76

Now, we can simplify on the left side by adding the Xs together.

4x = 76

X = 19

Therefore, Seth is 19 years old and Mary is 57 years old.

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3 years ago
Solve the following system of equations. What is one x-value of a solution? f(x)=x^(2)+7x-24 g(x)=-3x-40
Yuki888 [10]

One x- value of the solution is : -2 or -8

<h3>What is an equation?</h3>

An Equation is an algebraic statement that shows that two quantities are equal.

Analysis:

for one x-value of a solution, f(x) = g(x)

x^{2} + 7x -24 = -3x - 40

x^{2} +7x +3x -24 +40 = 0

x^{2} + 10x +16 = 0

x^{2} +8x +2x +16 = 0

x(x+8) +2(x+8) = 0

(x+2)(x+8) = 0

x = -2 or -8

In conclusion, the values of x are -2 or -8

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5 0
2 years ago
If a ship's path is mapped on a coordinate grid, it follows a straight-line path of slope 3 and passes through point (2, 5).
Ugo [173]

Part A: The equation of the ship's path is y=3x-1

Part B: The two ships sails perpendicular to each other.

Explanation:

Part A: It is given that m=3 and point (2, 5)

Substituting these in the slope intercept form, we have,

y-y_{1}=m\left(x-x_{1}\right)

\begin{aligned}y-5 &=3(x-2) \\y-5 &=3 x-6 \\y &=3 x-1\end{aligned}

Thus, the equation of the ship's path in slope intercept form is y=3x-1

Part B: The equation of the second ship is x+3 y-6=0

Let us bring the equation in the form of slope intercept form.

\begin{aligned}3 y &=-x+6 \\y &=-\frac{1}{3} x+2\end{aligned}

Thus, from the above equation the slope is m=-\frac{1}{3}

To determine the two ships sailing perpendicular to each other, we have

m_{1} \times m_{2}=-1

where m_{1}=3 and m_{2}=-\frac{1}{3}

\begin{aligned}3 \times-\frac{1}{3} &=-1 \\-1 &=-1\end{aligned}

Since, both sides of the equation are equal, these two ships sails perpendicular to each other.

3 0
3 years ago
A cylinder has a volume of 132x cubic feet and height of 4 feet. What is the area of the base?
Bogdan [553]

Answer:

33π square feet

Step-by-step explanation:

Volume = base area × height

132π = base area × 4

or, base area = 132π/4

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Answered by GAUTHMATH

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3 years ago
Solve 23h2+h=−13 by using the quadratic formula
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Answer:

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Step-by-step explanation:

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3 years ago
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