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marta [7]
2 years ago
13

DO THIS PLEASE! STEP BY STEP

Mathematics
1 answer:
Papessa [141]2 years ago
5 0

Answer:

a=5, s=3

Step-by-step explanation:

a=adult s=student

then write 2 equations to represent the amount of people and money

a+s=8

7.25a+5.5s=52.75

• To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

{a+s=8, 7.25a+5.5s=52.75}

• Choose one of the equations and solve it for a by isolating a on the left hand side of the equal sign.

a+s=8

• Subtract s from both sides of the equation.

a=−s+8

• Substitute −s+8 for a in the other equation, 7.25a+5.5s=52.75.

7.25(−s+8)+5.5s=52.75

• Multiply 7.25 times −s+8.

−7.25s+58+5.5s=52.75

• Add −29s/4  to 11s/2.

−1.75s+58=52.75

• Subtract 58 from both sides of the equation.

−1.75s=−5.25

• Divide both sides of the equation by −1.75, which is the same as multiplying both sides by the reciprocal of the fraction.

s=3

• Substitute 3 for s in a=−s+8. Because the resulting equation contains only one variable, you can solve for a directly.

a=−3+8

• Add 8 to −3.

a=5  

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Nana76 [90]

Answer: k=18\dfrac{8}{11}.

Step-by-step explanation:

If a line passing through two points, then

Slope=\dfrac{y_2-y_1}{x_2-x_1}

Endpoints of segment MN have coordinates (0, 0) and (5, 1).

Slope of MN =\dfrac{1-0}{5-0}=\dfrac{1}{5}

The endpoints of segment AB have coordinates \left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right) and  \left(-2\dfrac{1}{4} , k\right).

A=\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)=\left(\dfrac{23}{22} ,\dfrac{9}{4}\right)

B=\left(-2\dfrac{1}{4} , k\right)=\left(-\dfrac{9}{4} , k\right).

Slope of AB =\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}

=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}

=\dfrac{4k-9}{4}\times \dfrac{44}{-145}

=4k-9\times \dfrac{11}{-145}

=\dfrac{44k-99}{-145}

Product of slopes of two perpendicular segments is -1.

Slope of MN × Slope of AB = -1

\dfrac{1}{5}\times \dfrac{44k-99}{-145}=-1

\dfrac{44k-99}{-725}=-1

44k-99=725

44k=725+99

k=\dfrac{824}{44}

k=\dfrac{206}{11}

k=18\dfrac{8}{11}

Therefore, the value of k is k=18\dfrac{8}{11}.

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Step-by-step explanation:

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