Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4−x and y = 2x + 3 intersect are the solutions of the equation 4−x = 2x + 3.

Answers

Answer 1

Answer: Hello,

The 2 curves (lines) have the same value of y for:

y=4-x
y=2x+3
==>4-x=2x+3
==>3x=1
==>x=1/3
And y=4-1/3=11/3

Sol={(1/3,11/3)}

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What is the slope of the line 5y = –3x + 10 ?

Answers

Divide 5 by both sides. So you get y=(-3/5)x + 2
The slope is (-3/5).

$5y=-3x+10\ny=-(3)/(5)x+2\n\n\boxed{m=-(3)/(5)}$

A blueprint is drawn using a scale of 2 mm over 25 ft. What length is represented by 1 mm?A) 12.5 ft
B) 50 ft
C) 10.5 ft
D) 23 ft

Answers

The length of 1 mm is12. 5 ft

Round all the way 2689

Answers

2689

rounded to the nearest tens = 2690
rounded to the nearest hundreds = 2700
rounded to the nearest thousands = 3000

If the number before the place it needs to be round off is 5 and above, then it is rounded up. If the number is 4 and below, it is rounded down.

For example:
2444

rounded to the nearest tens = 2440
rounded to the nearest hundreds = 2400
rounded to the nearest thousands = 2000

Jane has $10 more than Bill, Bill has $17 more than Tricia, and Tricia has $21 more than Steve. If the total amount of all their money is $135, how much money does each have?

Answers

Jane has $55, Bill has $45, Tricia has $28, and Steve has $7.

Given that

Jane has $10 more than Bill, Bill has $17 more than Tricia, and Tricia has $21 more than Steve.

If the total amount of all their money is $135.

We have to determine

How much money does each have?

According to the question

Let the amount Steve be x,

The total amount Jane has is (10 +17+21+x)

The total amount Bill has is (17+21+x)

The total amount Tricia has is (21+x)

Then,

The total amount of all money = Jane money + Bill money + Tricia money + Steve money

$\rm 135 =( 10+17+21+x)+ (17+21+x) + (21+x)+x\n\n135 = 48+x + 38+x+21+x+x\n\n135 = 4x+ 107\n\n4x = 135-107\n\n4x = 28\n\n x = (28)/(4)\n\n x= 7$

The Steve has $7.

Therefore,

The total money Jane has = (10 +17+21+x) = 48 + 7 = $55

The total money Bill has = (17+21+x) = 38 +7 = $45

The total money Tricia has = (21+x) = 21 +7 = $28

Hence, Jane has $55, Bill has $45, Tricia has $28, and Steve has $7.

To know more about Equation click the link given below.

brainly.com/question/14454996

$J \rightarrow Jane\nB \rightarrow Bill\nT \rightarrow Tricia\nS \rightarrow Steve\n\nJ+B+T+S = 135\n\n(10 + (17 + (21 + S) ) )+(17+(21+S))+(21+S)+S=135\n\n10 + 17 + 21 + S+17+21+S+21+S+S=135\n\n4S+107=135\n\n4S=135-107\n\nS=(28)/(4)\n\boxed{S=7}\n\n\T=21+S\nT=21+7\n\boxed{T=28}\n\nB=17+T\nB=17+28\n\boxed{B=45}\n\nJ=10+B\nJ=10+45\n\boxed{J=55}$

$55+45+28+7=135\n\n\boxed{135=135}$

Semicircle arc AB,AC,BD and CD divide the circle above in to regions. The points shown along the diameter AD divided in to 6 equal parts. If AD=6 what is the total area of the shaded region?