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RUDIKE [14]
2 years ago
15

a car reduced its speed in a ratio of 2 to 3 if the final speed was 90 km per hour then what was the original speed.​

Mathematics
1 answer:
Licemer1 [7]2 years ago
8 0

Answer:

Orginal Speed is 135

Step-by-step explanation:

The ratio of final speed: original speed is

\frac{2}{3\\}

We know that 90 km is it final speed so, we set up a proportion

\frac{2}{3} =90/x

2x=270\\x=135

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Janie and Jasmine are playing three games at an arcade. Each of the games requires either 2, 3, or 4 tokens. The girls plan to p
Brrunno [24]

Answer:

m+2n+2p=16 tokens or m+2(n+p)= 16 tokens

Step-by-step explanation:

First, we must understand how many tokens they have.

Janie played the 3-token game four times, so she used 12 tokens  (3n x 4 = 12). Jasmine played the 4-token game five times, so she used 20 tokens (4p x 5 = 20).

Added up, the girls have 32 tokens (12+20 = 32 tokens (t)).

In order to play a round of the three games, 9 tokens are required (m+n+p = 9 / 2+3+4 = 9) by each girl. (32t-18t=14) 14 tokens are left after taking a ride in every game each. 14 left divided by 2 will leave 7 more tokens for each girl. You can split these 7 tokens into an n+p = 7 tokens

Thus,

Each girl can ride as follows:

m+2n+2p=16 tokens or m+2(n+p)= 16 tokens

4 0
3 years ago
Find the y intercepts of 3x^2+24x-51. quadratic formula
julia-pushkina [17]
  • Quadratic Formula: x=\frac{-b\pm \sqrt{b^2-4ac}}{2a} , with a = x^2 coefficient, b = x coefficient, and c = constant.

Firstly, starting with the y-intercept. To find the y-intercept, set the x variable to zero and solve as such:

y=3*0^2+24*0-51\\y=0+0-51\\y=-51

<u>Your y-intercept is (0,-51).</u>

Next, using our equation plug the appropriate values into the quadratic formula:

x=\frac{-24\pm \sqrt{24^2-4*3*(-54)}}{2*3}

Next, solve the multiplications and exponent:

x=\frac{-24\pm \sqrt{576-(-648)}}{6}\\\\x=\frac{-24\pm \sqrt{576+648}}{6}

Next, solve the addition:

x=\frac{-24\pm \sqrt{1224}}{6}

Now, simplify the radical using the product rule of radicals as such:

  • Product Rule of Radicals: √ab = √a × √b

√1224 = √12 × √102 = √2 × √6 × √6 × √17 = 6 × √2 × √17 = 6√34

x=\frac{-24\pm 6\sqrt{34}}{6}

Next, divide:

x=-4\pm \sqrt{34}

<u>The exact values of your x-intercepts are (-4 + √34, 0) and (-4 - √34, 0).</u>

Now to find the approximate values, solve this twice: once with the + symbol and once with the - symbol:

x=-4+ \sqrt{34},-4- \sqrt{34}\\x\approx 1.83, -9.83

<u>The approximate values of your x-intercepts (rounded to the hundredths) are (1.83,0) and (-9.83,0).</u>

5 0
3 years ago
9,443.2 the 4 in the tens place is ? the value of the 4 in the hundreds place.
lorasvet [3.4K]
In the value 9,443.2 we can spot two 4's.

One resides in the hundreds column and the other resides in the tens column.
7 0
3 years ago
Which shows the correct way to use the rule "multiply by the reciprocal" for the expression below? 5 divided by StartFraction 2
enot [183]

Answer:

its a.

Step-by-step explanation:

simple answer

5 0
2 years ago
Read 2 more answers
Write the slope intercept form through (3, 5) parallel to y 5/3x -5
Harrizon [31]

Answer:

y=5/3x .This is the answer

8 0
3 years ago
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