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3 years ago

3.

Mathematics

1 answer:

Sedbober [7]3 years ago

7 0

The equations that could represent the quantities and constraints in this situation are:

m = 12(15) ⇒ answer a

4n = c ⇒ answer c

b = 2(3) + 3(4.50) ⇒ answer e

Step-by-step explanation:

Jada plans to serve milk and healthy cookies for a book club meeting

She is preparing 12 ounces of milk and 4 cookies per person
There are 15 people in the club
A package of cookies contains 24 cookies and costs $4.50
A 1-gallon jug of milk contains 128 ounces and costs $3

n represents number of people in the club,

m represents the ounces of milk

c represents the number of cookies

b represents Jada's budget in dollars

∵ m represents the ounces of milk

∵ She is preparing 12 ounces of milk

∵ There are 15 person in the club

∴ m = 12(15)

∵ She is preparing 4 cookies per person

∵ c represents the number of cookies

∵ n represents the number of people in the club

∴ 4n = c

∵ A package of cookies contains 24 cookies

∵ She needs = 15 × 4 = 60 cookies

∵ 60 ÷ 24 = 2.5

∴ She needs to buy 3 packages of cookies

∵ She needs = 15 × 12 = 180 ounces of milk

∵ A 1-gallon jug of milk contains 128 ounces

∵ 180 ÷ 128 = 1.406

∴ She needs to buy 2 A 1-gallon jug of milk

∵ The cost of each jug of milk is $3

∵ The cost of each package of cookies is $4.50

∵ b represents Jada's budget in dollars

∴ b = 2(3) + 3(4.50)

The equations that could represent the quantities and constraints in this situation are:

m = 12(15) ⇒ answer a

4n = c ⇒ answer c

b = 2(3) + 3(4.50) ⇒ answer e

Learn more:

You can learn more about word problems in brainly.com/question/3950386

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Determine the volume of the figure. Use 3.14 for π. Round your answer to the nearest tenth. Show all of your work.

Ostrovityanka [42]

Answer:

1985 cubic units (written as un. with the cubed exponent)

Step-by-step explanation:

First, you find the volume of the cylinder

Here's the formula:

$V=\pi r^{2}h\\V=volume\\r=radius\\h=height$

Now, you plug in and solve.

$V=(3.14)(7.2^{2})(7.4)\\V=(3.14)(51.84)(7.4)\\V=(162.7776)(7.4)\\V=1204.55424\\rounded:\\V=1204.6$

Then, you find the volume of the dome.

Here's the formula:

$volume/of/a/sphere=\frac{4}{3}\pi r^{3}\\volume/of/a/dome:\\V=\frac{2}{3}\pi r^{3} \\V=volume\\r=radius$

Now, you just plug in and solve.

$V=(\frac{2}{3})(\pi)(r^{3})\\V=(\frac{2}{3})(3.14)(7.2^{3})\\V=(\frac{2}{3})(3.14)(373.248)\\V=(2.093)(373.248)\\V=781.208064\\rounded:\\V=781.2$

Finally, you add them together, and there's your answer!

$1204.6+781.2=1985.8$

Hope this helped!

brainliest?

8 0

3 years ago

HELP ASAP PLZZZZ

Tcecarenko [31]

QUESTION 1

The given system of equations is

$3d - e = 7...eqn(1)$
$d + e = 5...eqn(2)$

To solve by linear combination, we add equation (1) to equation (2) to get,

$3d + d= 7 + 5$

$4d = 12$

We divide through by 4 to obtain,

$d = \frac{12}{4}$

$d = 3$

We put d=3 into equation (2) to get,

$3+ e = 5$

$e = 5 - 3$

$e = 2$

$\boxed {The \: solution \: is \: (3, 2)}$

QUESTION 2

The given system is

4x + y = 5 ...eqn(1)

3x + y = 3 ...eqn(2)

To solve by linear combination, we subtract equation (2) from equation (1) to eliminate y from the equation.

This will give us,

$4x - 3x = 5 - 3$

This implies that,

$x = 2$

Put x=3 into equation (1) to get,

$4(2) + y = 5$

$8+ y = 5$

$y = 5 - 8$

$y = - 3$

The solution is

$(2,-3)$

QUESTION 3

We want to solve the system;

a – 2b = –2 ....eqn(1)

2a + 2b = 14...eqn(2)

by linear combination.

We need to add equation (1) to equation (2) to eliminate b.

This implies that,

$2a + a = 14 + - 2$

Simplify,

$3a = 12$

Divide both sides by 3 to get,

$a = 4$
Put a=4 into equation (2) to obtain,

$2(4) + 2b = 14$

$8 + 2b = 14$
$2b = 14 - 8$

$2b = 6$

$b = 3$

The ordered pair in the form (a, b) is

$(4,3)$

QUESTION 4

The given system of equations is

11x + 4y = 18 ...eqn(1)

3x + 4y = 2 ...eqn(2)

We subtract equation (2) from equation (1) to get,

$11x - 3x = 18 - 2$

$8x = 16$

$x = 2$

Put x=2 into equation (2) to obtain,

$3(2) + 4y = 2$

This implies that,

$6 + 4y = 2$

$4y = 2 - 6$

$4y = - 4$

$y=-1$

The correct answer is (2,-1).

QUESTION 5

The given system is ;

2d + e = 8...eqn1

d – e = 4...eqn2

We add the two equations to eliminate e.

This implies that,

$2d + d = 8 + 4$

$3d = 12$

We divide both sides by 3 to get,

$d = 4$

We put d=4 into equation (2) to get,

$4 - e = 4$

$- e = 4 - 4$

$- e = 0$

$e = 0$

The solution is

$(4,0)$

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3 years ago

Find the cube root of 19683 by prime factorization method. Show steps.

ANTONII [103]

Answer:

Step-by-step explanation:

Given number:

19683

Prime factors of 19683:

19683 = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 3^9

Cube root:

∛19683 = ∛3^9 = 3^3 = 27

3 0

3 years ago

Read 2 more answers

I NEED AN ANSWER PLEASE!

Nata [24]

Answer:

1×-5= -5squared =25+(4×-4squared)=25+(-16)=9

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3 years ago

Luden [163]

Is this just free points or is there a question

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3 years ago