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3 years ago

13

Aaliyah has x nickels and y pennies. She has a minimum of 20 coins worth no more than $0.40 combined. Solve this system of inequ

alities graphically and determine one possible solution.

1 answer:

scoray [572]3 years ago

4 0

Answer:

<em></em> $(x,y) = (5,15)$ <em></em>

<em></em>

Step-by-step explanation:

Given

$Nickels = x$

$Pennies = y$

Minimum of 20 coins means:

$x + y \ge 20$

A nickel worth $0.05

A penny worth $0.01

So, the worth can be represented as:

$0.05x + 0.01y \le 0.40$

<em>See attachment for graph</em>

<em></em>

From the attachment, the solution is:

<em></em> $(x,y) = (5,15)$ <em></em>

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PLZ HELP QUICK WILL MARK BRAINLIEST

natima [27]

Answer:

Step-by-step explanation:

12.

the formula for the volume of a cone is V=1/3hπr²

549.5 = 1/3(21)(3.14)(x)^2

549.5 = 7(3.14)(x)^2

549.5 = 21.98(x)^2

549.5 = 21.98(x)^2

divide by 21.98 on both sides

25 = (x)^2

sqrt 25 = sqrt x^2

5 = x

13.

the formula for the volume of a sphere is V=4/3πr^3

v=4/3(3.14)9^3

v=4/3(3.14)729

v=(4.186)729

v=3052.08

14.

the formula for the volume of a sphere is V=4/3πr^3

523=4/3(3.14)r^3

523=4/3(3.14)r^3

523=(4.186)r^3

divide by 4.186 on both sides

124.92=r^3

cube root on both sides

4.998=r

round

5=r

<em><u>Please mark brainliest this took me a while</u></em>

7 0

3 years ago

Charlotte has two job offers as a car sales person. The first job will pay her $600 a month plus 2% on the price of her car sale

Lana71 [14]

$40,000
Let x be the sales amount.
600+0.02x=1000+0.01x
x=$40,000

5 0

3 years ago

What’s is the value of the expression 7+[8-(1+9)]

Amanda [17]

Answer:

5

Step-by-step explanation:

7+(8-(1+9))

7+(8-10)

7+(-2)

7-2

5

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3 years ago

The junior and senior students at Mathville High School are going to present an exciting musical entitled, "Math, What is it Goo

xeze [42]

Some parts are missing in the queston. Find attached the picture with the complete question

Answer:

$\large\boxed{\large\boxed{161}}$

Explanation:

Let's put the information in a table step-by step.

(number of remaining students)

Juniors Seniors

Condition

Initially J S

15 seniors left S - 15

Twice juniors as seniors 2(S - 15)

3/4 of the juniors left 1/4×2(S - 15)
1/3 of seniors left 2/3×(S - 15)

At the end, there were 8 more seniors than juniors:

2/3×(S - 15) - 1/4×2(S - 15) = 8

Now you have obtained one equation, which you can solve to find S, the number of senior students, and then the number of junior students.

Solve the equation:

$2/3\times (S - 15) - 1/4\times 2(S - 15) = 8$

Mutilply all by 12:

$8(S - 15)-6(S - 15)=96$

Distribution property:

$8S-120-6S-90=96$

Addtion property of equalities:

$8S-6S=96+120+90$

Add like terms:

$2S=306$

Division property of equalities:

$S=306/2=153$

That is the number of senior students that came out to the information meeting, but the number of students remaining to perform in the school musical is (from the table above):

$2/3\times (S-15)+1/4\times 2(S-15)$

Just substitute S with 153 fo find the number of students that remained to perfom in the musical:

$2/3\times (153-15)+1/4\times 2(153-15)\\ \\ 2/3(138)+1/2(138)$

$161$

5 0

3 years ago

Mr. Walker, a runner, asked students to find the unit rate of the winner of the first Boston Marathon in 1897. John J. McDermott

EleoNora [17]

Answer: 8.4 miles per hour

Step-by-step explanation:

Since, total distance = 24.5 miles,

Time taken = $175 \text{ minutes} = \frac{175}{60} \text{ hours} =\frac{35}{12} \text{ hours}$

Thus,

$\text{ The unit rate} = \frac{\text{ Total distance}}{\text{ Time taken}}$

$=\frac{24.5}{35/12}$

$=\frac{294}{35}$

$=8.4\text{ miles per hour}$

6 0

3 years ago