What number completes the pattern 107-98 90-83 77

Answers

Answer 1

Answer: So we want to know which number comes next in the series of numbers 107 98 90 83 77. First we find the pattern: 107-98=9, 98-90=8, 90-83=7, 83-77=6 so now we see that each number in the pattern is smaller by 1 than the previous number. so the next number will be 5 and 77-5=72 and that is the next number. Also the complete number series is: 72-4=68, 68-3=65, 65-2=63, 63-1=62 and finally 62-0= 62.

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Use elimination to solve this system of equations. 2r + 3s= 9 and 3r + 2s= 12

Answers

2r + 3s= 9 <=> -6r -9s = -27;
3r + 2s= 12 <=> 6r + 4s = 24;
=> 0*r -5*s = -3 => s = 3/5;

2*r + 3*(3/5) = 9<=> 10*r + 9 = 45 <=> 10*r = 36 => r = 18/5;

Answer:

(18/5,3/5)

Step-by-step explanation:

Paolo wrote the following equation for the perimeter of a rectangle.P=2(l+w)

a. w=P-21
b. w=P-1
c. w=P-21/2
d. w=P+21/2

Answers

Perimeter = 2(Length + Width)

Perimeter = 2Length + 2Width

Perimeter - 2Length = 2Width

(Perimeter - 2Lenght) / 2 = Width

Answer is C. w = P - 2l/2

Answer:

The answer is the option C

$W=(P-2L)/(2)$

Step-by-step explanation:

we know that

The perimeter of a rectangle is equal to

$P=2(L+W)$

where

L ----> is the length side of rectangle

W ----> is the width side of the rectangle

Solve for W

That means -------> isolate the variable W

Divide by $2$ both sides

$(P)/(2)=W+L$

Subtract $L$ both sides

$W+L-L=(P)/(2)-L$

$W=(P)/(2)-L$

$W=(P-2L)/(2)$

Use division to find all the whole number ratios equivalent to 168 : 56

Answers

$168|2\n.\ 84|2\n.\ 42|2\n.\ 21|3\n.\ \ 7|7\n.\ \ 1|\n\n56|2\n28|2\n14|2\n.\ 7|7\n.\ 1|$

$168:56=(2\cdot2\cdot2\cdot3\cdot7)/(2\cdot2\cdot2\cdot7)\n\n=(2\cdot2\cdot3\cdot7)/(2\cdot2\cdot7)=\boxed{(84)/(28)}\n\n=(2\cdot2\cdot2\cdot3)/(2\cdot2\cdot2)=\boxed{(24)/(8)}\n\n=(2\cdot3\cdot7)/(2\cdot7)=\boxed{(42)/(14)}\n\n=(2\cdot3)/(2)=\boxed{(6)/(2)}\n\n=\boxed{(3)/(1)}\n\n=(2\cdot2\cdot3)/(2\cdot2)=\boxed{(12)/(4)}\n\n=(3\cdot7)/(7)=\boxed{(21)/(7)}$

solve using the substitution and elimination method

3a-12b=9

4a-5b=3

can someone please help?

Answers

3a-12b=9 => a = 4b + 3; but, 4a-5b=3 => 4(4b + 3) -5b = 3 => 11b = -9 => b = -9/11 => a = -36/11 + 3 = -3/11;

Answer:6969

Step-by-step explanation:

Its the best answer

Solve 5w-8 divide 3=4w+2

Answers

$(5w-8)/(3)=4w+2\ \ \ \ \ |multiply\ both\ sides\ by\ 3\n\n5w-8=3(4w+2)\n\n5w-8=3(4w)+3(2)\n\n5w-8=12w+6\ \ \ \ \ |add\ 8\ to\ both\ sides\n\n5w=12w+14\ \ \ \ \ |subtract\ 12w\ from\ both\ sides\n\n-7w=14\ \ \ \ \ |divide\ both\ sides\ bhy\ (-7)\n\n\boxed{w=-2}$

If f(x)=3x+10x and g(x)= 2x-4, find (f+g)(x)

Answers

Answer:

=3^x +12x -4

Step-by-step explanation:

f(x)=3^x+10x

g(x)= 2x-4,

(f+g)(x) = 3^x+10x+ 2x-4,

Combine like terms

=3^x +12x -4

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