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Nikitich [7]
3 years ago
5

Todd has at most 14 dimes and nickels in his pocket and the total value of the coins is more than $1. If x represents the number

of dimes and y represents the number of nickels which system of inequalities can be used to determine how many of each coin todd has in his pocket.
Mathematics
1 answer:
sattari [20]3 years ago
5 0

Answer:

x+y≤14

10x+5y>100

Step-by-step explanation:

Got it right! Hope this helps!

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Find the radius r of the circle. Round your answer to the nearest tenth.
denis-greek [22]

Answer:

76.2 yd

Step-by-step explanation:

180 ÷30 = 6

12.7 × 6 = 76.2

4 0
2 years ago
Find the coordinates of the point (x,y) at the given angle θ on a circle of radius r centered at the origin. Show all work. Roun
beks73 [17]

Answer:

(i) The equivalent coordinates in rectangular form are (x, y) = (-3.277,-2.294).

(ii) The equivalent coordinates in rectangular form are (x, y) = (0.866, 0.5).

Step-by-step explanation:

In this exercise we must find the equivalent coordinates in rectangular form from polar form. That is:

(x, y) = (r\cdot \cos \theta, r\cdot \sin \theta)

Where:

r - Norm of vector, dimensionless.

\theta - Direction of vector with respect to +x semiaxis, measured in sexagesimal degrees.

(i) (r = 4, \theta = 215^{\circ})

(x. y) = (4\cdot \cos 215^{\circ}, 4\cdot \sin 215^{\circ})

(x, y) = (-3.277,-2.294)

The equivalent coordinates in rectangular form are (x, y) = (-3.277,-2.294).

(ii) (r = 1, \theta = 30^{\circ})

(x. y) = (1\cdot \cos 30^{\circ}, 1\cdot \sin 30^{\circ})

(x, y) = (0.866, 0.5)

The equivalent coordinates in rectangular form are (x, y) = (0.866, 0.5).

6 0
3 years ago
The weights of cars passing over a bridge has a mean of 3550 lb and a standard deviation of 870 lb. Assume that the weights of t
elena-s [515]

Step-by-step explanation:

Note: Question does not indicate if probability required is for weight to exceed or below 3000 lbs.  So choose appropriate answer accordingly (near the end)

Using the usual notations and formulas,

mean, mu = 3550

standard deviation, sigma = 870

Observed value, X = 3000

We calculate

Z = (X-mu)/sigma = (3000-3550)/870 = -0.6321839

Probability of weight below 3000 lbs

= P(X<3000) = P(z<Z) = P(z<-0.6321839) = 0.2636334

Answer:

Probability that a car randomly selected is less than 3000

= P(X<3000) = 0.2636 (to 4 decimals)

Probability that a car randomly selected is greater than 3000

= 1 - P(X<3000) = 1 - 0.2636 (to 4 decimals) = 0.7364 (to 4 decimals)

5 0
2 years ago
Read 2 more answers
Help. Interpreting Graphs Of Proptional Relasionships. !
maksim [4K]
<h2>As the graph shows the cost of apples at a local market, Use the graph to answer problems 1-3</h2>

Part 1)

What is the cost of 1 apple and of 3 apples? How do you know?

Answer:

From the given graph which shows the cost of apples at a local market, it is clear that:

When we buy 1 apple, the cost is indicating 0.5+ (0.5/2) = 0.5+0.25 = $0.75

We know because x-axis is representing the number of apples and y-axis is representing the cost.

Therefore, when the number of apples is 1 on x-axis, then the cost is showing $0.75 on y-axis.

also

when we buy 3 apple, the cost is indicating 2+ (0.5/2) = 2+0.25 = $2.25

We know because x-axis is representing the number of apples and y-axis is representing the cost.

Therefore, when the number of apples is 3 on x-axis, then the cost is showing $2.25 on y-axis.

Part 2)

What does the point (0, 0) represent in this context?

  • The (0, 0) represents the origin of the graph.

It means that the cost will be zero US dollars if you do not buy any apple. In other words, for 0 number of apples, the cost will be $0.

Part 3)

What does the point (2, 1.5) represent in this context?

The (2, 1.5) represents that when you buy 2 apples, the cost for buying 2 apples will be $1.5.

We know because x-axis is representing the number of apples and y-axis is representing the cost.

Therefore, when the number of apples is 2 on x-axis, then the cost is showing $1.5 on y-axis.

6 0
3 years ago
Solve the inequality.
sineoko [7]
Q+12-2q+44>0
-q+56>0
q<56
6 0
3 years ago
Read 2 more answers
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