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Mashutka [201]
2 years ago
11

Tony can type at a constant rate of 110 words every 2 minutes. A. Write an equation for the number of words, W, Tony can type in

T minutes. B. What is the constant of proportionality? C. How many words can Tony type in 20 minutes? D. If Tony has a half hour to type a 1,600-word essay, will he have time to type the entire essay? Explain your reasoning.
Mathematics
1 answer:
Andreas93 [3]2 years ago
4 0

Step-by-step explanation:

given Tony can type at a constant rate of 110 words every 2 minutes.This means tony can type 55 words in every minute.

A- Tony can type W words in T minutes. W*T=M (M=Minutes Tony typed)

B-  Tony can type 1100 words in 20 minutes. as 55*20=1100.

C- Yes, Tony can type the essay. Why: because in this equation w=55 and t=30 minutes so t*w=30*55=1650 so yes, Tony can write the essay.

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Ok I have to make multiple questions since the max amount of attachments is 5 but this is the first one.
Pie

Answer:

All answers are down below!

Step-by-step explanation:

PAGE 1

22.) -10x - 2y = 20 (add 10x on both sides)

-2y = 10x + 20 (divide by -2 on both sides)

y = -5x - 10

Neither because perpendicular lines have opposite reciprocal and opposite sign. This equation only has opposite sign. It's not parallel because parallel lines have the same slope, and this equation doesn't.

23.) <1 = 138 b/c 180 -42

<2 = 42 b/c vertical to the angle measured 42

<3 = 138 b/c it's vertical to <1 and vertical angles have the same measure

<4 = 42 b/c it is an alternate interior angle to <2

<5 = 90 b/c vertical to <8

<6 = 48 b/c <4 + <5 + <6 = 180 and 42 + 90 + 48 = 180

<7 = 42 b/c it is vertical to <4 which also has a measure of 42

<8 = 90 b/c it is same side interior to <10 which has a measure of 90 degrees

<9 = 48 b/c <7 + <8 = 132 and 180 -132 = 48

<10 = 90 b/c it is a linear pair with the right angle and a right angle equals 90 degrees

PAGE 2

1.) PQ, QR, and NR

2.) ML, NP, and RQ

3.) KL, JM, JN, and KP

4.) corresponding angles

5.) alternate interior angles

6.) alternate exterior angles

7.) interior consecutive angles or same side interior angles

PAGE 3

9.) Q'(5, -4) R'(5, -2) S'(1, -3) because (x, y) ----> (-x, y)

10.) J'(3, 5) I'(1, 1) H'(3, 1) G'(4, 5) b/c (x,y) -----> (x, -y)

11.) E'(1, -4) F'(0, -2) G'(-3, -5) b/c (x,y) -----> (-x, y)

12.) J'(1, 2) K'(-1, -3) L'(4, -2) M'(3, 3) b/c (x,y) -----> (x, -y)

13.) Y'(-4, 1) X'(-3, 4) W'(-4, 5) b/c (x,y) -----> (y, x)

14.) J'(-3, 3) I'(5, 2) H'(-5, 1) G'(0, -1) b/c (x,y) ----> (-y, -x)

15.) H'(-2, 5) G'(2, 2) F'(3, 4) b/c (x,y) ------> (x, -y)

16.) U'(-2, -1) V'(0, 2) W'(-3, 4) b/c (x,y) ------> (y, x)

PAGE 4

17.) 3x - 43 = 80 (add 43 on both sides) --> 3x = 123 (divide by 3 on both sides) --> x = 41

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19.) 15x - 5 + 11x + 3 = 180 (collect like terms) --> 26x -2 = 180 (add 2 on both sides) ---> 26x = 182 (divide by 26 on both sides) --> x = 7

20.) To find slope use y2-y1/x2-x1

PLUG IN

2 - -5/ -1 - -5 =

7/4 since parallel lines have the same slope line b would also have a slope of 7/4.

21.) x + 3y = 2 (subtract x on both sides) ---> 3y = -x + 2 (divide by 3 on both sides)

y = -1/3x + 2/3. The lines are perpendicular because their slopes have opposite reciprocals and opposite signs.

PAGE 5

8.) 4x - 9 + 75 = 180 (collect like terms) --> 4x + 66 = 180 (subtract 66 on both sides) -----> 4x = 114 (divide by 4 on both sides) x = 28.5

9.) 7x + 2 = 65 (subtract 2 on both sides) --> 7x = 63 (divide by 7 on both sides) --> x =9

10.) Corresponding angles

11.) <7

12.) consecutive interior angles or same side interior angles

13.) <9

14.) Line C

15.) c || d

16.) a || b

Hope this helps you!!

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a rectangular table is two times as long as it is wide. if the area is 18ft^2, find the length and the width of the table.
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Merging these 2 formulas lets us eliminate L:

18 ft^2 = (2W) * (W) = 2W^2.

So W^2 = 9 ft^2, and W=3 ft.  Please use L = 2W (from above) to calculate L.

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Which of the following statements about Pascal’s Triangle are true? It is symmetrical. The first diagonal is all 1’s. The second
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It is symmetrical.

The first diagonal is all 1’s.

The second diagonal is the counting numbers.

Any number in the triangle is the sum of the two numbers directly above it.

Each row adds to a power of 2.

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Answer:

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2 years ago
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Answer:

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Step-by-step explanation:

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