the sum of two numbers is 44. the smaller number is 20 less than the larger number. what are the numbers?

Answers

Answer 1

Answer: sum means add
x and y are the numbers
sum i 44
x+y=44

smaller s 20 les than larger
x=20+y
or
y=20+x
doesn't matter, just pick one
x=20+y

substue 20+y for x since they are equal
x+y=44
(20+y)+y=44
20+y+y=44
20+2y=44
subtract 20 from both sides
2y=24
divide by 2
y=12
subsitue
x=20+y
x=20+12
x=32

the numbers are 12 and 32

Answer 2

Answer: x+(x-20)=44
2x= 64
x=32

Therefore the bigger number is 32 and the smaller number is 12
32+12=44

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What is perpendicular to y= 3x -9 and passes through the point (3,1)

Answers

$(3,1) , \ \ y= 3x -9 \n \n The \ slope \ is :m _(1) =3 \n \n If \ m_(1) \ and \ m _(2) \ are \ the \ gradients \ of \ two \ perpendicular \n \n lines \ we \ have \ m _(1) \cdot m _(2) = -1 \n \n3\cdot m_(2)=-1 \ \ /:3\n \n m_(2)=-(1)/(3)$

$\Now \ your \ equation \ of \ line \ passing \ through \ (3,1) would \ be: \n \n y=m_(2)x+b \n \n1=-(1)/( 3) \cdot3 + b$

$1=-1+b\n \n b=1+1\n \nb=2 \n \n y =- (1)/(3)x+2$

What is 100/45 in a mixed number

Answers

100/45 = 2.2222222

so it is

2 10/45

Round 0.977 to the nearest hundredth

Answers

.98 since the hundredth place is higher than a five it is rounded up

What is the first term in the pattern with formula 20 · 5n – 1?A.0

B.20

C.25

D.100

Answers

What is the first term in the pattern with formula 20 · 5n – 1?

The first term in the pattern is B.20.

In a sequence, the format would be:
first term * common difference(number of term - 1)

I need help. Please 30 points if you know no links, or I will report you.

Answers

Answer: for first question answer is second option and other question answer is again b

Step-by-step explanation:

Firstly you already see that the median is increasing because it is first 403 and changing to 553. We can understand it increased

Need help really bad please

Answers

Problem 1

Answer: Choice B) angle1 = 26, angle2 = 64

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Explanation:

Complementary angles add to 90

(angle1)+(angle2) = 90

(5x+6)+(68-x) = 90

4x+74 = 90

4x = 90-74

4x = 16

x = 16/4

x = 4

So,

angle1 = 5x+6 = 5(4)+6 = 26

angle2 = 68-x = 68-4 = 64

Note how

angle1+angle2 = 26+64 = 90

to help check our answer

==========================================

Problem 2

Answer: Choice D) BC, AC, AB

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Explanation:

The shortest side of a triangle is always opposite the smallest angle.

The longest side of a triangle is always opposite the largest angle.

Based on those two facts, we can say the shortest side is BC (since angle A = 53 is the smallest angle) and the longest side is AB (since angle C = 70 is the largest)

The order from smallest to largest is

BC, AC, AB

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Problem 3

Answer: Choice D) B < C < A

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Explanation:

Use the reverse of the idea from problem 2. We know that AC is the smallest side which must mean that angle B is the smallest angle. Since BC is the largest side, angle A must be the largest angle.

The order of the angles is B < C < A

==========================================

Problem 4

Answer: Choice A) angle 5 = 50, angle 8 = 130

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Explanation:

The same side exterior angles must be supplementary to have parallel lines.

==========================================

Problem 5

Answer: Choice A) angle G is the smallest

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Explanation:

Use the same idea as problem 2. The smallest angle is opposite the smallest side. The smallest side is 48, so angle G being opposite of that side, is the smallest angle.

Angle O would be the largest as it is opposite the largest side DG = 70

Other Questions

1) point R has coordinates of (1,0) point S is symmetric to point R with respect to the line y=-2, what are the coordinates of point S2)point N has coordinates of (-1,2) point M is symmetric to point N with respect to the line y=X, what are the coordinates of point M 3) x^2=36 A. 9sqrt. 2 - 9sqrt. 2 B. 6 - 6 C. 4sqrt. 3 - 4sqrt. 3 D. 18 - 18 4) x^2=90 A. 10 sqrt. 3 - 10 sqrt. 3 B. 3 sqrt. 10 -3 sqrt. 10 C. 3 sqrt. 15- 3 sqrt. 15 D. 45 - 45

0.1m+8-12 when m=30 and n=1/4

An internet service provider changes an initial fee of $65 and $18 per hour of labor for office internet installation. Which equation represents the total cost, C, of the installation after h hours of labor?

Corey and his two friends, Alex and Carl, have a combined weight of 405 pounds. Corey weighs 127 pounds. Alex weighs at least 130 pounds, but no more than 145 pounds. Which inequality represents Carl's weight (x)?