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3 years ago

Which of the following points lies in the solution set to the system of inequalities shown below

Mathematics

2 answers:

Oduvanchick [21]3 years ago

7 0

Answer:

1,2, and 4

Step-by-step explanation:

I attached a picture with the graph

y= -4 is a straight horizontal line (red line) and

y≤10 will give a horizontal line passing trough y=10 (blue line)

the solution is all points under and on the line y=10

1, 2, and 4 are part of the solution set

(the blue area is the solution of the system of equations)

docker41 [41]3 years ago

5 0

Answer:

( - 2, 7 )

Step-by-step explanation:

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Mrs. Chan buys a new car for $21,000. She pays a sales tax of $0.06 for every $1. She pays a property tax of $16.80 on every $1,

lianna [129]

Answer:

$1612.80

Step-by-step explanation:

Sales Tax would be 0.06 * 21,000 = $1260

Property Tax:

16.80 for every 1000, so how many "1000"s are there in 21,000? Simple, 21 of them.

So the property tax would be 16.80 * 21 = $352.80

Hence, total taxes (for the year) = 1260 + 352.80 = $1612.80

4 0

3 years ago

The goals against average (A) for a professional hockey goalie is determined using the formula A = 60 a equals 60 left-parenthes

Marina CMI [18]

Answer:

Option 1 - $\frac{At}{60}=g$

Step-by-step explanation:

Given : The goals against average (A) for a professional hockey goalie is determined using the formula $A=60(\frac{g}{t} )$ . In the formula, g represents the number of goals scored against the goalie and t represents the time played, in minutes.

To find : Which is an equivalent equation solved for g?

Solution :

Solve the formula in terms of g,

$A=60(\frac{g}{t})$

Multiply both side by t,

$At=60g$

Divide both side by 60,

$\frac{At}{60}=\frac{60g}{60}$

$\frac{At}{60}=g$

Therefore, option 1 is correct.

4 0

3 years ago

Read 2 more answers

Volume of prisms just 3 problems

Vladimir79 [104]

Answer:

2. 18 cubic cm.

3. 27 cubic cm

5. 90 cubic m

Step-by-step explanation:

2. Triangular prism

So, we have a triangular prism with a width of 3 cm, a height of 1.5 cm and a length of 4. We'll take the triangle shape as the base.

Like for any prism, the volume is the base multiplied by the height.

So, the area of the base is found with the regular formula: base x height:

so, 3 x 1.5 = 4.5 sq cm for the base.

Then we multiply the base by the length to get the volume: 4.5 x 4 = 18 cubic cm.

3. Trapezoidal prism

Again, first step is to calculate the area of the trapezoid shape, then multiply by its depth.

The area of a trapezoid is calculated with the formula:

A = h/2 * (a + b) where a and b represent the short and long sides respectively.

So, for our given trapezoid:

A = 1.5/2 * (2+4) = 0.75 * 6 = 4.5 sq cm.

Then we multiply the base area by the height to get the volume:

V = 4.5 * 6 = 27 cubic cm

5. Triangular prism 2

The best way to approach this one is to consider it's a triangle prism with a height of 3 cm, and use the triangle shape (with sides of 13 and 5) as the base.

But to calculate the area of that triangle we need to find out the missing length. Using Pythagore's theorem, we can easily find the length of the other side with the hypotenuse formula:

hypotenuse² = sideA² + sideB²

In our case, we have:

13² = x² + 5²

169 = x² + 25

x² = 144

x = 12

Now we can calculate the area of the triangle easily:

A = (b x h)/2 = (5 x 12)/2 = 30 sq m

Then multiply by the thickness of the prism....

V = 30 x 3 = 90 cubic m

4 0

3 years ago

What percent is $10,000 out of a 120.000

Svetlanka [38]

10,000 is 8.33% of 120,000.

10,000 / 120,000 = 0.0833 * 100% = 8.33%

Assuming that the whole and percentage is given. find the value of the percentage.

120000 * 8.33% = 9996 ⇒ 10,000

If the percentage is given and its corresponding value. find the whole

10,000 / 8.33% = 120,048 ⇒ 120,000

6 0

3 years ago

Read 2 more answers

One side of a triangle is two times the second side. The third side is 5 feet longer than the second side. The perimeter of a tr

Sphinxa [80]

Second side= x
First side = 2x
Third side = x+5
x+2x+x+5=49
4x=44
x=11

1st side= 22
2nd side = 11
3rd side = 16

3 0

3 years ago