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Irina18 [472]
3 years ago
5

Use the Substitution method to solve the system of equations 3x+4y=10 y=x-1

Mathematics
1 answer:
kifflom [539]3 years ago
5 0

Answer: 2

Step-by-step explanation:

3x+4y=10

3x+4(x-1)=10

3x+4x-4=10

7x-4=10

Add 4 to both sides

7x=14

x=2

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Manny is buying new clothes for school. He buys three shirts for $14.95 each and a tie for $12. Everything in the store is on sa
jasenka [17]

Given:

Cost of each shirt = $14.95

Cost of a tie = $12

Discount on Sale = 15% off

Manny buys three shirts and a tie.

To find:

The Manny's total cost.

Solution:

We have,

Cost of 1 shirt = $14.95

Cost of 3 shirt = 3 × $14.95

                       = $44.85

Cost of a tie = $12

Total cost before discount = Cost of 3 shirt + Cost of a tie

                                            = $44.85 + $12

                                            = $56.85

Everything in the store is on sale for 15% off. So,

\text{Manny's total cost}=56.85-\dfrac{15}{100}\times 56.85

\text{Manny's total cost}=56.85-0.15\times 56.85

\text{Manny's total cost}=56.85-8.5275

\text{Manny's total cost}=48.3225

Therefore, the Manny's total cost is $48.3225.

3 0
3 years ago
Write the ratios for sin X, cos X, and tan X. Use the / for a fraction.​
fgiga [73]

Answer:

Step-by-step explanation:

From the right triangle attached in the picture,

sine ratio for the angle X,

\text{sinX}=\frac{\text{Opposite side}}{\text{Hypotenuse}}

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       =\frac{21}{29}

cosine ratio for the angle X,

\text{cosX}=\frac{\text{Adjacent side}}{\text{Hypotenuse}}

        =\frac{XY}{XZ}

        =\frac{20}{29}

tang ratio for the angle X,

\text{tanX}=\frac{\text{Opposite side}}{\text{Adjacent side}}

        =\frac{21}{20}

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rewona [7]
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Sonja [21]

Answer:

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Step-by-step explanation:

36-11=25

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3 years ago
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Firdavs [7]
I don’t know this answer but I think it’s 81
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