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Katen [24]
3 years ago
10

Every jump a game piece makes measures 8/9 . The piece starts at point A = 7 and jumps to the right. As soon as the piece jumps

over B = 24, it switches direction and jumps to the left. The piece then stops at point A. How many jumps did the game piece take?
Mathematics
1 answer:
frutty [35]3 years ago
4 0

Answer:

There will be a total 40 jumps.

Step-by-step explanation:

Every jump a game piece makes measures \frac{8}{9} = 0.889.

Now, the piece starts at point A = 7 and jumps to the right.

So, the piece will jump over B = 24  after \frac{24 - 7}{0.889} = 19.122 ≈ 20 complete jumps.

Then it switches direction to the left and the piece then stops at point A.

So, there will be a total (20 + 20) = 40 jumps. (Answer)

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A number increased by 9 is 13
Alborosie

Answer:

4

Step-by-step explanation:

To find the number you have to reverse the equation

Let us call the number "x"

x + 9 = 13

So to find x we flip the equation

13 - 9 = x

Solve it

4 = x

So the missing number is 4

6 0
3 years ago
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miss Akunina [59]

I think its 180/24 here is my work

\frac{3}{8}\\=\\ \\\frac{9}{24} \\\\\frac{5}{6}\\=\\ \\\frac{20}{24} \\ so you find the lcm of \frac{20}{24} and  \frac{9}{24} = 180/24

5 0
3 years ago
Read 2 more answers
Find an expression for the function f(x) whose graph is a line passing through the points (8,-5) and (-9,2). f(x)=
kolbaska11 [484]

Answer: f(x) = - 7x/17 - 29/17

Step-by-step explanation:

The expression for the function f(x) would be represented in the slope-intercept form, y = mx + c

Where

c represents the y intercept.

m represents the slope of the line.

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent

change in the value of y = y2 - y1

Change in value of x = x2 -x1

The line passes through (8, - 5) and (- 9, 2),

y2 = 2

y1 = - 5

x2 = - 9

x1 = 8

Slope,m = ( 2 - - 5)/(- 9 - 8) = 7/- 17 =

- 7/17

To determine the intercept, we would substitute x = 8, y = - 5 and m = - 7/17 into

y = mx + c. It becomes

- 5 = - 7/17 × 8 + c

- 5 = - 56/17 + c

c = - 5 + 56/17

c = - 29/17

The equation becomes

f(x) = - 7x/17 - 29/17

8 0
3 years ago
Read 2 more answers
The large rectangle below represents one whole. What percent is represented by the shaded area? (URGENT)
nikitadnepr [17]

Answer:

40%

Step-by-step explanation:

The whole rectangle is split into 5 parts. Two out of 5 parts are shaded.

Set up a fraction:

\frac{\text{Shaded}}{\text{Whole}}=\frac{2}{5}

Convert into a decimal:

\frac{2}{5}= 0.4

Multiply the decimal by 100 to get the percent:

0.4*100=40

So, forty percent of the rectangle is shaded.

Hope this helps.

4 0
3 years ago
Read 2 more answers
Given m<12= 121 and m<6= 75, find the measure of each missing angle.
slava [35]

Answer/Step-by-step explanation:

Given:

m<12 = 121°

m<6 = 75°

a. m<1 = m<6 (vertical angles)

m<1 = 75° (substitution)

b. m<12 = m<1 + m2 (alternate exterior angles)

121° = 75° + m<2 (substitution)

121° - 75° = m<2 (subtraction property of equality)

46° = m<2

m<2 = 46°

c. m<1 + m<2 + m<3 = 180° (angles on a straight line)

75° + 46° + m<3 = 180° (substitution)

121° + m<3 = 180°

m<3 = 180° - 121° (subtraction property of equality)

m<3 = 59°

d. m<4 = m<3 (vertical angles)

m<4 = 59° (substitution)

e. m<5 + m<4 + m<6 = 180° (angles on a straight line)

m<5 + 59° + 75° = 180° (substitution)

m<5 + 134° = 180°

m<5 = 180° - 134° (Subtraction property of equality)

m<5 = 46°

f. m<7 = m<12 (vertical angles)

m<7 = 121° (substitution)

g. m<8 = m<4 (vertical angles)

m<8 = 59° (substitution)

h. m<9 = m<6 (Alternate Interior Angles)

m<9 = 75° (substitution)

i. m<10 + m<9 = 180° (Linear Pair)

m<10 + 75° = 180° (substitution)

m<10 = 180° - 75° (Subtraction property of equality)

m<10 = 105°

j. m<11 = m<8 (vertical angles)

m<11 = 59° (substitution)

k. m<13 = m<10 (vertical angles)

m<13 = 105° (substitution)

l. m<14 = m<9 (vertical angles)

m<14 = 75° (substitution)

5 0
3 years ago
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