MATHEMATICS MIDDLE SCHOOL

If 1-√3 cot (x+15°)=0, find the acute angle x

Answers

Answer 1

Answer:

1 - √3 cot (x + 15) = 0

√3 cot(x + 15) = 1

tan (x + 15) = √3

x + 15 = 60

x = 45 degrees answer

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What multiplies to be -144 and adds to be 7

After a party there was 1/2 of a pizza leftover. If George gave 1/2 of the leftover to Olivia what fraction of the pizza did he give her

Answers

Fraction leftover = 1/2

George gave (1/2) of the leftover to Olivia:

= 1/2 * 1/2

= 1/4

Fraction George gave to Olivia = 1/4

Solve each system of linear equations by substitutions.1. 3x-2y=9 y=2x-7
2. Y=x-4 2x+y=5
3. X+4y=6 y=-x+3

Answers

1.
$3x-2y=9 \n y=2x-7 \n \n \hbox{substitute 2x-7 for y in the 1st equation:} \n 3x-2(2x-7)=9 \n 3x-4x+14=9 \n -x=9-14 \n -x=-5 \n x=5 \n \n y=2x-7=2 * 5-7=10-7=3 \n \n \boxed{(x,y)=(5,3)}$

2.
$y=x-4 \n 2x+y=5 \n \n \hbox{substitute x-4 for y in the 2nd equation:} \n 2x+x-4=5 \n 3x=5+4 \n 3x=9 \n x=3 \n \n y=x-4=3-4=-1 \n \n \boxed{(x,y)=(3,-1)}$

3.
$x+4y=6 \n y=-x+3 \n \n \hbox{substitute -x+3 for y in the 1st equation:} \n x+4(-x+3)=6 \n x-4x+12=6 \n -3x=6-12 \n -3x=-6 \n x=2 \n \n y=-x+3=-2+3=1 \n \n \boxed{(x,y)=(2,1)}$

Jennifer made 5 L if punch fit her party. Her brother made another 750 ml. If they combine the two batches, how many 180 ml servings would they have? Would there be any punch left over? How much?

Answers

31 sevings would be made and there would be .94th of a seving left over and ur welcome for answering the Q

Six students shared equally the cost of 18 of one of the items in the chart. Each student paid $24. What item did they buy? Explain how you found your answer.Item Price
Origami book $24each
Origami paper $6per pack
Origami kit $8each

Answers

Origami Kit

8 X 18 = 144

divide by 6 students so 144/6 = $24 each

Please help..write expanded form of the expression

Answers

79203782 there u go so that’s should he

79203782 there you go

What is m in equation 2m=12

Answers

M is equal to 6 because 6 times 2 would equal 12

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There were 900 students enrolled in a high school in 2009 and 1,500 students enrolled in the same high school in 2012. The student enrollment of the high school, P, has increased at a constant rate each year, t, since 2009. A) Write the given enrollment numbers as a pair of points in the form (t, P). B) Find the slope of the line passing through the pair of points from part A and explain the information the slope gives about the situation. C) Write an equation that relates the high school's student enrollment, P, to the number of years since 2009, t. D) Predict the high school's enrollment in 2017.

Which expression correctly represents “ten times the difference of a number and six”

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Don borrowed money from the bank to finish his garage. he borrowed 900 dollars for one year. he has to pay 9% simple interest in loan