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Minchanka [31]
2 years ago
15

Which system of equations below has infinitely many solutions? y = –3x 4 and y = –3x – 4 y = –3x 4 and 3y = –9x 12 y = –3x 4 and

y = Negative one-thirdx 4 y = –3x 4 and y = –6x 8.
Mathematics
1 answer:
Flura [38]2 years ago
7 0

the equations y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions. option B is correct.

<h3>What is the linear system?</h3>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Condition for the parallel lines.

L1,  ax + bx + c = 0

L2, dx + ey + f = 0

If \rm \dfrac{a}{d} = \dfrac{b}{e} = \dfrac{c}{f} then lines have infinitely many solutions.

<h3>Which system of equations below has infinitely many solutions?</h3>

y = –3x + 4 and 3y = –9x + 12

On comparing we have

a = -3 , b = 1, and c = 4

d = -9 , e = 3, and f = 12

Then their ratio will be

\rm \dfrac{1}{3} = \dfrac{-3}{-9} = \dfrac{4}{12}\\\\\rm \dfrac{1}{3} = \dfrac{1}{3} = \dfrac{1}{3}

Hence  y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions.

Thus the option B is correct.

More about the linear system link is given below.

brainly.com/question/20379472

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Gordon types 43 3/4 pages in 3 1/2 hours. What is his rate in pages per hour
Olegator [25]

Answer:

His rate is 12 1/2 pages per hour.

Step-by-step explanation:

Given that,

Gordon types 43 3/4 pages in 3 1/2 hours or Gordon types 175/4 pages in 7/2 hours./ We need to find its rate in pages per hour. So,

R=\dfrac{\dfrac{175}{4}\ \text{pages}}{\dfrac{7}{2}\ \text{hour}}\\\\R=\dfrac{175}{4}\times \dfrac{2}{7}\\\\R=12.5\ \text{pages per hour}\\\\R=12\dfrac{1}{2}\ \text{pages per hour}

Hence, his rate is 12 1/2 pages per hour.

8 0
3 years ago
Write an equation to represent Catherine's profit (p) from selling cupcakes for one month Catherine sells cupcakes, c, for 1.50
Archy [21]

Answer:

\text{p}=\$1.20\text{c}-\$20

Step-by-step explanation:

GIVEN: Catherine sells cupcakes c for \$1.50 each, The ingredients for each cupcake cost her \$0.30, and the sum of all her other expenses is \$20/\text{month}.

TO FIND: Equation to represent Catherine's profit from selling cupcakes.

SOLUTION:

Cost of ingredients for each cupcake  =\$0.30

sum of all other expenses  =\$20/\text{month}

Selling price of each cupcake =\$1.50

Total cupcakes sold =\text{c}

Now,

As we know that \text{Net profit}=\text{Selling price}-\text{Cost price}-\text{Other expense}

putting values,

                      \text{p}=\$1.50\text{c}-\$0.30\text{c}-\$20

                      \text{p}=\$1.20\text{c}-\$20

Hence the equation  to represent Catherine's profit (p) from selling cupcakes for one month Catherine sells is \text{p}=\$1.20\text{c}-\$20

8 0
3 years ago
How many quarts of water must be added to 3 gallons of soup that is 60% chicken broth to make the soup 40% chicken broth
Nuetrik [128]

Answer:

<u><em>6 quarts</em></u>

Step-by-step explanation:

60% 3 gallons = 1.8 gallons of broth

water = 0% broth

1.8=1.2+0.4x

0.6=0.4x

x=1.5

1.5 gallons = 6 quarts

8 0
3 years ago
The density of a certain material is such that it weighs 9 kilograms for every 7 cubic feet of volume. Express this density in p
Vadim26 [7]

Answer:

1.641× 10^-3 pounds/ cubic inch

Step-by-step explanation:

Density= mass / volume

Mass of the material= 9 kilograms

Volume= 7 cubic feet

Density= 9/7= 1.286 kg/ ft^3

Density= 1.286 kg/ ft^3

To Convert to pounds per inch

1 kg/ ft^3 = 0.00128 pound / cubic inch

1.286 kg/ ft^3 = X pounds/ cubic inch

X=( 1.286 × 0.00128)

= 0.0016407087 pounds/ cubic inch

= 1.641× 10^-3 pounds/ cubic inch

Hence,this density in pounds per inch is 1.641× 10^-3 pounds/ cubic inch

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3 years ago
13 divided by $85.02
Salsk061 [2.6K]
The answer is 0.15290519877
6 0
3 years ago
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