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Lera25 [3.4K]
3 years ago
12

While playing a game, you move 5 steps forward and then 11 steps backward. Write each number as an integer

Mathematics
1 answer:
MaRussiya [10]3 years ago
7 0
To represent 5 steps forward as an integer, you would write 5 or +5. Forward is a positive movement.

11 steps backward would be -11 because moving backwards would be the opposite of moving forward (+).
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Choose the equation below that represents the line passing through the point (2, - 5) with a slope of −3.
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Answer:

the equation of the line is y=-3x+1

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8 0
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Plz help me with this math and also explain
jasenka [17]

Step-by-step explanation:

<h2>[1]</h2>

  • SI = $250
  • Rate (R) = 12\sf \dfrac{1}{2} %
  • Time (t) = 4 years

\longrightarrow \tt { SI = \dfrac{PRT}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times 12\cfrac{1}{2} \times 4}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times \cfrac{25}{2} \times 4}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times 25 \times 2}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times 50}{100} } \\

\longrightarrow \tt { 250 \times 100 = P \times 50} \\

\longrightarrow \tt { 25000 = P \times 50} \\

\longrightarrow \tt { \dfrac{25000}{50} = P } \\

\longrightarrow \underline{\boxed{ \green{ \tt { \$ \; 500 = P }}}} \\

Therefore principal is $500.

<h2>__________________</h2>

<h2>[2]</h2>

  • 2/7 of the balls are red.
  • 3/5 of the balls are blue.
  • Rest are yellow.
  • Number of yellow balls = 36

Let the total number of balls be x.

→ Red balls + Blue balls + Yellow balls = Total number of balls

\longrightarrow \tt{ \dfrac{2}{7}x + \dfrac{3}{5}x + 36 = x} \\

\longrightarrow \tt{ \dfrac{10x + 21x + 1260}{35} = x} \\

\longrightarrow \tt{ \dfrac{31x + 1260}{35} = x} \\

\longrightarrow \tt{ 31x + 1260= 35x} \\

\longrightarrow \tt{ 1260= 35x-31x} \\

\longrightarrow \tt{ 1260= 4x} \\

\longrightarrow \tt{ \dfrac{1260 }{4}= x} \\

\longrightarrow \underline{\boxed{  \tt { 315 = x }}} \\

Total number of balls is 315.

A/Q,

3/5 of the balls are blue.

\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}x} \\

\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}(315)} \\

\longrightarrow \tt{ Balls_{(Blue)} = 3(63)} \\

\longrightarrow \underline{\boxed{ \green {\tt { Balls_{(Blue)} = 189 }}}} \\

8 0
3 years ago
=<br> Given f(x) 2x3 + kx + 6, and x + 2 is<br> a factor of f(x), then what is the value of k?
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Step-by-step explanation:

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7 0
3 years ago
In ΔEFG, the measure of ∠G=90°, FG = 1.5 feet, and EF = 7.5 feet. Find the measure of ∠F to the nearest degree.
fomenos

Answer:

  78°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between angles and sides of a right triangle. In particular, ...

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  cos(F) = FG/FE = 1.5/7.5 = 0.2

The inverse cosine function is used to find the angle:

  ∠F = arccos(0.2)

  ∠F ≈ 78°

8 0
3 years ago
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ki77a [65]
C

Trinomial means three parts
A and C or trinomial's but the degree on a is at three and the degree of C is a one
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3 years ago
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