Which point is a solution of x + 2y ≤ 4?

ki77a [65]

This is the only way I can think of this mathematically. This took a good 20 minutes for me. You need to guess and check. Like try 17 quarters, 50 nickels, and 37 dimes etc. until you get 11.00. My numbers are mathematically correct but we both know you cant have 18.909 quarters so. lol

Answer:

Quarters: 18.909

Nickels: 49.818

Dimes: 37.818

Somewhere around those numbers.

Step-by-step explanation:

$11.00 total in coins

Nickel = $0.05

Dime = $0.10

Quarter = $0.25

(n*0.05) + (d*0.10) + (q*0.25)

Solve the equation for q.

$q=\frac{1}{2} d$

(n*0.05) + (d*0.10) +( $\frac{1}{2} d$ *0.25)

Simplify the expression.

9d + 2n = 440

d - n = -12

Multiply both sides of the equation by -9.

-9d + 9n = 108

9d + 2n = 440

Sum the equations vertically to eliminate at least one variable.

11n = 548

$n=\frac{548}{11}$

Substitute the given value of n into the equation d - n = -12

$d-\frac{548}{11} =-12$

$d=\frac{416}{11}$

Substitute the given value of n into the equation $q=\frac{1}{2} d$

$q=\frac{1}{2} *\frac{416}{11}$

$q=\frac{208}{11}$

Finally

$d=\frac{416}{11}$ d = 37.818

$n=\frac{548}{11}$ n = 49.818

$q=\frac{208}{11}$ q = 18.909

6 0

2 years ago

A courier service advertises that its average delivery time is less than six hours for local deliveries. A random sample of size

Diano4ka-milaya [45]

Answer, Step-by-step explanation:

According to the exercise, we evaluate the delivery time of a courier company and we will hypothesize the best case with a sample size of 10, which is:

Small sample T test for single mean

The hypothesis that we will develop will be the following:

null hypothesis = mu> = 6

hypothesis alternativa: <6

3 0

3 years ago

In the Diagram Lines M And N are Parallel M < 2 = 150 degress, Find the Measure of the following angles

Snezhnost [94]

<4= 150
<6=150
because the angels are parallel <4 & <2 are the exact same measurements and because 6 is perpendicular to <4 & <2 thus making it also 150 degrees

5 0

3 years ago

The u.s. dairy industry wants to estimate the mean yearly milk consumption. a sample of 16 people reveals the mean yearly consum

lidiya [134]

1-2. The best estimate for the population mean would be sample mean of 60 gallons. Since we know that the sample mean is the best point of estimate. Since sample size n=16 is less than 25, we use the t distribution. Assume population from normal distribution.

3. Given a=0.1, the t (0.05, df = n – 1 = 15)=1.75

4. xbar ± t*s/vn = 60 ± 1.75*20/4 = ( 51.25, 68.75)

5. Since the interval include 63, it is reasonable.

3 0

2 years ago

determine if the ordered pair is a solution of the equation is (2 4) a solution of y = -3× - 2? true or false

vesna_86 [32]

Answer:

False

Step-by-step explanation:

y = -3× - 2

4 = -3(2) - 2

4 = -6 - 2

4 = -8

4 0

2 years ago