MATHEMATICS HIGH SCHOOL

Solve each equation by taking square roots

10p^2 +20=1490

Answers

Answer 1
Answer: 10p^2 +20=1490  

10p^2=1490-20        Subtract \ 20 \ from \ both \ sides

10p^2=1470 

p^2= (1470)/(10)         Divide \ both \ sides \ by \ 10

p^2=147 

p=+ √(147)       Take \ the \ square \ root \ of \ both \ sides

p=+7 √(3)
Answer 2
Answer: 10p^2+20=1490
1\sqrt{10p^(2) =1470} 10p=38.34 p=3.8340p^2=1470

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Order the following masses from least to greatest: 500 g, 50 kg, 5,000 mg

Answers

The order is
 5000 mg, 500 g, 50 kg

Answer:

5000mg,500g, 50kg

you have to know that 5000mg=5 grams

4.5+(-12)+(-4.5) I need this answer now please

Answers

Answer:

-12

Step-by-step explanation:

Cory’s average score after 8 tests is 91%. If he gets a 78% on his 9th test what will his new average be?

Answers

8*91+78/9 would be an 89.55555 or just 89.56% if you have to round it would be 90%

conjectures math statement 2(x^2+5)=60 what is the reason? 2x^2+10=60 what is the reason? 2x^2=50 what is the reason? x^2=25 what is the reason? x=+ minus 5.

Answers

2(x^2+5)=60 to 2x^2+10=60
distributive property (a(b+c)=ab+ac)

2x^2+10=60 to 2x^2=50
property of equality or something like thht (a=a and b=b, so a-b=a-b) and also
 addative inverse (a+-a=0) (added -10 to both sides)

2x^2=50 to x^2=25
propery of euality and multiplicative inverse (a times 1/a=1) and one produce property (1 times a=a)

x^2=25 to x=+/-5
property of equality and something else

Answer:

2(x^2+5)=60 to 2x^2+10=60

distributive property (a(b+c)=ab+ac)

2x^2+10=60 to 2x^2=50

property of equality or something like thht (a=a and b=b, so a-b=a-b) and also

 addative inverse (a+-a=0) (added -10 to both sides)

2x^2=50 to x^2=25

propery of euality and multiplicative inverse (a times 1/a=1) and one produce property (1 times a=a)

x^2=25 to x=+/-5

property of equality and something else

Step-by-step explanation:

(a) 3x + 7y = 13, 5x + 2y = 12
How do i solve this linear equation using substitution method??

Answers

Answer:

x= 2, y= 1

Step-by-step explanation:

First label the 2 equations:

3x +7y= 13 -----(1)

5x +2y= 12 -----(2)

Make x or y the subject of formula for one of the equation so that we can substitute its value into the 2nd equation.

Here, I am making y the subject of formula in the 2nd equation.

5x +2y= 12

2y= 12 -5x

y = 6 - (5)/(2) x -----(3)

Substitute (3) into (1):

3x + 7(6 - (5)/(2) x) = 13

Expand:

3x + 42 - (35)/(2) x = 13

Bringconstantstooneside:

3x - (35)/(2) x = 13 - 42

Simplify:

- (29)/(2) x = - 29

Multiplyby-2onbothsides:

- 29x = - 58

Divideby-29onbothsides:

x=2

Substitute x=2 into (1):

3(2) +7y= 13

7y +6= 13

7y= 13 -6 (-6onbothsides)

7y= 7

y= 7 ÷7

y= 1

An unusually hot summer has shifted the demand curve for lemonade to the right

Answers

An unusually hot summer has shifted the demand curve for lemonade to the right and this will result in an increase in the supply of the lemonade and along with it, there will be rise in the price of lemonade. As the demand rises in the market, so will there be an increase in the price. I hope the answer helps you.
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