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3 years ago

The variable z is inversely proportional to x. When x is 12, z has the value 1.5833333333333. What is the value of z when x= 18?

Mathematics

1 answer:

7nadin3 [17]3 years ago

4 0

Answer:

Z=1.055

Step-by-step explanation:

Z is inversely proportional to X: $Z=\frac{K}{X}$ Where K is a constant

X=18, Z=1.583333333333 we can find K value

K=Z*X =1.58333333333*12= 19

So, Using X=18 We have the following

$Z=\frac{19}{18}$ = 1.055

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Write a expression to express k less than double 3.5. THANKS

Arada [10]

k<2(3.5) or simplified k<7

6 0

4 years ago

joe has a piggy bank with $8.90 split upon nickels, dimes, and quarters. The piggy bank contains 76 coins in all. The number of

kozerog [31]

Answer:

There are 38 dimes, 22 nickels and 16 quarters.

Step-by-step explanation:

Let n, d and q represent the # of nickels, dimes and quarters respectively.

Then n + d + q = 76

The value of a nickel is $0.05; that of a dime is $0.10, and that of a quarter is $0.25.

Thus, the value of n nickels is $0.05n (and so on).

The total value of the coins is $0.05n + $0.10d + $0.25q = $8.90.

d = n + q allows us to eliminate d.

First, n + d + q = 76 becomes n + (n + q) + q = 76, and second:

$0.05n + $0.10(n + q) + $0.25q = $8.90. Here we have succeeded in eliminating d from two different equations, and now we have these two different equations in two unknowns (n and q), which is solvable.

Simplifying both equations, we get:

2n + 2q = 76 and

5n + 10n + 10q + 25q = 890, or 15n + 35q = 890

Let's use the substitution method of solving linear equations:

Rewrite 2n + 2q = 76 as n + q = 38, or n = 38 - q. Substituting this result into the second equation, we get:

15(38 - q) + 35 q = 890, or

570 - 15q + 35q = 890, or

570 + 20 q = 890. Then 20q = 890 - 570 = 320, and q = 320/20 = 16.

There are 16 quarters. Thus, the number of nickels is n = 38 - 16 = 22.

Finally, since n + d + q = 76, 22 + d + 16 = 76, or:

22 + d = 60, or d = 60 - 22 = 38.

There are 38 dimes, 22 nickels and 16 quarters.

4 0

3 years ago

Carys calculates the total amount EEE, in dollars, that she earns for working hhh hours using the equation E=10hE=10hE, equals,

timurjin [86]

Answer:

$10 per hour
0.1 hours

Step-by-step explanation:

To find Carys' earnings in one hour, fill in h=1 in the formula:

E = 10·1 = 10

Carys earns 10 dollars per hour.

To find the number of hours required to earn 1 dollar, fill in E=1 in the formula:

1 = 10h

0.1 = h . . . . . divide by 10

It takes 0.1 hours for Carys to earn 1 dollar.

4 0

3 years ago

Read 2 more answers

Between which two square roots of integers could you find π

LUCKY_DIMON [66]

Hello.

Since 3 < pi < 4,
√9 < pi √16

In fact, since pi^2 = 9.86,

<span>√9 < pi < √10.

Which means the you</span><span> can find pi between square roots √9 and √10.
</span>
Have a nice day

5 0

3 years ago

Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a p

kap26 [50]

Answer:

$4800+183x\geq 8000$

She must sell at least 18 policies to make an annual income of at least $8,000

Step-by-step explanation:

Let $x$ be the number of policies Mrs. Robinson must sell

We know that Mrs. Robins makes 3% on commission for each policy sold. We also know that the average price of a policy is $6,100, so she makes 3% of $6,100 per policy sold. To find the 3% of $6,100 we just need to multiply 3% and $6,100; then dive the result by 100%:

$\frac{3*6,100}{100} =183$

Now we know that she makes $183 per policy sold. Since $x$ is the number of policies sold, $183x$ is her total commission for selling $x$ policies.

We also know that She makes $4,800 per year, so her total annual income is her salary plus her commissions, in other words:

$4800+183x$

Finally, we know that she wants to make at least $8,000, so her salary plus her commissions must be greater or equal than $8,000:

$4800+183x\geq 8000$

Let's solve the inequality:

1. Subtract 4800 from both sides

$4800-4800+183x\geq 8000-4800$

$183x\geq 3200$

2. Divide both sides by 183

$\frac{183x}{183} \geq \frac{3200}{183}$

$x\geq 17.48$

Since she can't sell a fraction of a policy, we must round the result to the next integer:

$x\geq 18$

We can conclude that she must sell 18 policies to make an annual income of at least $8,000.

7 0

4 years ago