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Sophie [7]
3 years ago
13

Find the solution of the system of equations. 3x+3y= −6 10x+3y= −13

Mathematics
1 answer:
Fittoniya [83]3 years ago
6 0

Answer:

x=−1, y=−1

Step-by-step explanation:

Solve for x in the first equation.

x=−2−y

10x+3y=−13

Replace all occurrences of x with −2−y in each equation.

−20−7y=−13

x=−2−y

Solve for y in the first equation.

y=−1

x=−2−y

Replace all occurrences of y with −1 in each equation.

x=−1, y=−1

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65 POINTS!!! The price of an Ipad is $499. It is on sale for 18% off at the Apple Store on Mac Monday's. Find the Sales price yo
sineoko [7]

Answer:

The student added the discount instead of subtracting the discount.

They also did not calculate the tax correctly.

Step-by-step explanation:

Original price is 499

Discount = original price * percent off

Discount = 499 * .18

               =89.82

The sale price = original price minus the discount

sale price = 499-89.82

sale price = 409.18

Sales tax = sale price * tax rate

                = 409.18 * 8.875%

                =409.18*.08875

                 =36.314725

Rounding to the nearest cent

                     36.31

Final cost = sale price + sales tax

                  =409.18+36.31

                   445.49

The student added the discount instead of subtracting the discount.

They also did not calculate the tax correctly.

6 0
3 years ago
The Grand Canyon is 277 miles long and 18 miles wide. A study was completed where 17
Natali5045456 [20]
2,825 i am almost sure this is the right answer i apologize if not
7 0
3 years ago
Which of the following changes will always be true for an exothermic process?
Ivenika [448]
Given that I no not see any explanation in the previos answer, I think you can benefit of this.

Exothermic refers only to the fact that the reaction releases energy in the form of heat when occurs. So, the enthalpy is higher at start and lower and the end.

Seen in this way, you can deduct that the change in enthalpy is negative, which is what the third option says. 
6 0
3 years ago
Read 2 more answers
Here is a triangular pyramid and its net.
bazaltina [42]

Answer:

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. \text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\

{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\  mm^{2}

Hence,

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

3 0
3 years ago
Simplify each expression. <br>(4 - 2i) - (-3 + i) ​
PtichkaEL [24]

Answer:

2i - (-3 + i)

Step-by-step explanation:

I think this is it. Sorry if it's wrong

7 0
3 years ago
Read 2 more answers
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