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3 years ago

Solve the system of equations using elimination. How many solutions does the system have?

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

6 0

Answer:

I hope it helps u

Step-by-step explanation:

Let's solve your system by elimination.

15j+12k=18;5j+4k=6

Multiply the second equation by -3, then add the equations together.

(15j+12k=18)

−3(5j+4k=6)

Becomes:

15j+12k=18

−15j−12k=−18

Add these equations to eliminate j:

0=0

Answer:

Infinitely many solutions

Note: Please Brain-list it ok dear!

If u have any doubt you can ask ok

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1/3 cup of flour is used to make 5 dinner rolls.

RoseWind [281]

we know that

$\frac{1}{3}$ cup of flour is used to make $5$ dinner rolls.

Part a) How much flour is needed to make one dinner roll?

by using proportion

$\frac{\frac{1}{3}}{5} =\frac{x}{1} \\ \\ x=\frac{\frac{1}{3}}{5}\\ \\ x=\frac{1}{15}$

therefore

the answer Part a) is

To make one dinner roll is needed $\frac{1}{15}$ cup of flour

Part b) How many cups of flour are needed to make 3 dozen dinner rolls?

Multiply the value obtained in part a) by $36$

$\frac{1}{15} *36=\frac{36}{15} \\ \\ =\frac{12}{5}$

$\frac{12}{5} =2\frac{2}{5}$

therefore

the answer Part b) is

To make $3$ dozen dinner rolls are needed $2\frac{2}{5}$ cup of flour

Part c) How many rolls can you make with 5 2/3 cups of flour?

$5\frac{2}{3} =\frac{17}{3}$

by using proportion

$\frac{\frac{1}{3}}{5} =\frac{\frac{17}{3}}{x} \\ \\ \frac{x}{3} =\frac{85}{3} \\ \\ x=85$

therefore

the answer part c) is

$85$ rolls

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3 years ago

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Study the coordinate plane below. A certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3)

jarptica [38.1K]

Answer:

pentegon

Step-by-step explanation:

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3 years ago

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Answer:

5π/6 radians

Step-by-step explanation:

The whole is the sum of the parts.

∠BAD = ∠BAC +∠CAD

∠BAD = π/3 + π/2 = π(2/6 + 3/6)

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A swimming pool is shaped like a right rectangular prism with length 20 feet, height 8 feet,

Rufina [12.5K]

Answer:

2,100 cubic feet

Step-by-step explanation:

20 × 15 × 8 = 2,400

20 × 15 × 1 = 300

2,400 - 300 = 2,100

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