MATHEMATICS MIDDLE SCHOOL

Find the value of x2 − 7x + 9 when x = 6.

The value of the expression when x = 6 is

Answers

Answer 1

Answer:

Answer:

-21.

Step-by-step explanation:

(6)2-7(6)+9

--> 6x2= 12

--> 7x6= 42

Rewrite the expression:

--> 12-42+9

Solve:

--> 12-42= -30

--> -30+7= -21

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The age of three sisters are consecutive integers. The sum of their ages is 45. Calculate their ages.

Answers

the first sister is 14 the second sister is 15 and the third sister is 16

45-3=42

42 divided by 3 equals 14

14+1=15+1=16

14+15+16=45

consecutive means right after each other like 1, 2, 3, 4...so if the first sister is x old, then sister 2 is (x+1) old and sister 3 is (x+2) old. So make an equation that says x+(x+1)+(x+2)=45. Simplify and solve for x (get x alone.)

HELP QUICK PLEASE! am I correct on the one that has the answer's in the boxes?

Answers

1.
$m\angle12=m\angle1= 55^(\circ) \Rightarrow A$ because those are alternate exterior angles.

2. OK

3. It's C

Solve each system using elimination PLEASE HELP!!!1.8X+5Y=6
3X-2Y=10
2.-3x+8y=10
5y+6y=80
3. 4x+12y=-24
3x-6y=-18
4.5x-6y=48
2x+5y=-3
please help show all work

Answers

1.
$8x+5y=6 \ \ \ |* 2 \n3x-2y=10 \ \ \ |* 5 \n \n16x+10y=12 \n\underline{15x-10y=50} \n16x+15x=12+50 \n31x=62 \ \ \ |/ 31 \nx=2 \n \n3x-2y=10 \n3 * 2-2y=10 \n6-2y=10 \ \ \ |-6 \n-2y=4 \ \ \ |/ (-2) \ny=-2 \n \n(x,y)=(2,-2)$

2.
$-3x+8y=10 \ \ \ |* 5 \n5x+6y=80 \ \ \ |* 3 \n \n-15x+40y=50 \n\underline{15x+18y=240 \ \ } \n40y+18y=50+240 \n58y=290 \ \ \ |/ 58 \ny=5 \n \n5x+6y=80 \n5x+6 * 5=80 \n5x+30=80 \ \ \ |-30 \n5x=50 \ \ \ |/ 5 \nx=10 \n \n(x,y)=(10,5)$

3.
$4x+12y=-24 \n3x-6y=-18 \ \ \ |* 2 \n \n4x+12y=-24 \n\underline{6x-12y=-36} \n4x+6x=-24-36 \n10x=-60 \ \ \ |/ 10 \nx=-6 \n \n3x-6y=-18 \n3 * (-6)-6y=-18 \n-18-6y=-18 \ \ \ |+18 \n-6y=0 \ \ \ |/ (-6) \ny=0 \n \n(x,y)=(-6,0)$

4.
$5x-6y=48 \ \ \ |* 2 \n2x+5y=-3 \ \ \ |* (-5) \n \n10x-12y=96 \n\underline{-10x-25y=15} \n-12y-25y=96+15 \n-37y=111 \ \ \ |/ (-37) \ny=-3 \n \n2x+5y=-3 \n2x+5 * (-3)=-3 \n2x-15=-3 \ \ \ |+15 \n2x=12 \ \ \ |/ 2 \nx=6 \n \n(x,y)=(6,-3)$

Li wants to buy a jacket that is originally priced at $65.00. Today he store is advertising the jacket for 40% off the original price. Part A: What is the sale price of the jacket?

Part B: Li has a coupon for an additional 10% off the sale price.

What is the price of the jacket after the coupon?

Answers

Part A:
if the price is $65 and if 40% is off so Li should pay 60% of it.
So 60% of $65 is:
60/100 = ?/65
? is the sale price:
65*60/100 = $39
Part B:
if he has 10% coupon for off then he should pay 90% of $39:
90/100 = ?/39
so ? is the answer:
39*90/100 = $35.1 :)))
I hope this is helpful
have a nice day

The sales tax on a piece of furniture that cost $450 was $28.13.What was the percent sales tax?