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2 years ago

Solve the system by substitution. 5x+2y= 5 y=-2x + 3

1 answer:

3 0

5x+2(-2x+3)=5
5x-4x+6=5
x=-1

Then plug back into either to solve for y.

y=-2(-1)+3
y=2+3
y=5

Substitution means you just replace one variable with the other equation so only one variable is showing. That’s how you solve for the first variable.

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(adapted from Ross, 2.37) Your math professor gives you a set of 10 problems and tells you that the final exam will consist of a

soldier1979 [14.2K]

Answer:

(a) 1/2

(b) 9/10

Step-by-step explanation:

Probability is given by number of possible outcomes ÷ number of total outcomes

(a) Number of possible outcomes = 5 questions, number of total outcomes = 10 questions

Probability (I answer all 5 problems correctly) = 5/10 = 1/2

(b) Probability (I answer at least 4 of the problems correctly) means I either answer 4 of the problems or all 5 problems correctly = 4/10 + 5/10 = 9/10

3 0

3 years ago

Read 2 more answers

Determine whether the sequence converges or diverges. If it converges, give the limit. 48, 8, four divided by three, two divided

Inga [223]

Answer:

Converges, 57.6

Step-by-step explanation:

48, 8, 4/3, 2/9...

ratio = 8/48 = 1/6

A sequence converged if the ratio is between -1 and 1.

So, this sequence converges

Limit = a/(1-r)

Where a is the first term, and r is the common ratio

Limit = 48/[1 - (1/6)]

= 48/[5/6]

= 48 × 6/5

= 57.6

7 0

2 years ago

Read 2 more answers

In a batch of 890 calculators, 12 were found to be defective. What is the probability that a calculator chosen at random will be

scoray [572]

Answer:

When entered into a calculator, 12/890 (the chance of a given calculator being defective) = 0.01348...

As a percent this is 100*0.01348% = 1.348%, and to the nearest tenth, 1.3%

3 0

3 years ago

Read 2 more answers

A man shares a $1,200,00 inheritance between his 3 sons in ratio 1: 3: 6. Calculate the difference between the largest share and

soldi70 [24.7K]

A man's inheritance money = $1200

Given :

He shared his inheritance between his 3 sons in the ratio 1:3:6

Then, the money the first son got :

$= \tt \frac{1}{10} \: of \: 1200$

$=\tt \frac{1}{10} \times 1200$

$=\tt \frac{1 \times 120}{10}$

$= \tt \frac{1200}{10}$

$\color{plum} =\tt\$ \: 120$

▪︎Thus, the first son inherited $120.

Money the second son got :

$= \tt \frac{3}{10} \: of \: 1200$

$= \tt \frac{3}{10} \times 1200$

$=\tt \frac{3 \times 1200}{10}$

$= \tt \frac{3600}{10}$

$\color{plum} =\tt \$360$

▪︎Thus, the second son inherited $360.

Money the third son got :

$=\tt \frac{6}{10} \: of \: 1200$

$=\tt \frac{6}{10} \times 1200$

$= \tt \frac{6 \times 1200}{10}$

$= \tt \frac{7200}{10}$

$\color{plum} = \tt\$720$

▪︎Thus, the third son inherited $720.

We know that :

The largest share = $720

The smallest share = $120

Difference between the largest and smallest share :

$= \tt720 - 120$

$\color{hotpink}\tt = 600$

<h3> ●=> Therefore :</h3>

▪︎<em>The difference between the largest and smallest share = 600</em>

7 0

2 years ago

Leslie and Daniel plan to put an above-ground pool in the backyard of their new home. The backyard is rectangular, 30 feet by 50

Brut [27]

1047.84ft² is not covered by the pool.
Find the area of the yard covered by pull using the area of a circle formula (the height is irrelevant in this case). If the diameter of the pool is 24 feet, its radius is 12 (half of the diameter)

A = 3.14r^2
A =3.14(144)
A = 452.16 ft²

Subtract the area of the pool from the area of the yard to get the area of the yard that is not covered by the pool. If the dimensions of the yard are 30ft by 50ft, you multiply them to get the area: 1500ft²

Total yard area: 1,500ft²
Area of yard without pool: 1,500ft² - 452.16ft² = 1047.84ft²

4 0

3 years ago