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3 years ago

You've baked 26 cookies, which is two-thirds of all the cookies you planned to bake. How many cookies did you plan to make?

Mathematics

1 answer:

hodyreva [135]3 years ago

7 0

Answer,

(26/2) * 3

= 39

Explanation,

26 cookies is only 2/3 of 3/3. So, we divide 26 by 2 to see how many cookies are in 1/3. We then can find out that when you make 1/3 of the cookies there are 13. Since that is only 1/3 and we want to find out 3/3. We multiply 13 by 3 and get 39 which is all the cookies she planned to make.

Hope this helps :-)

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A paper bag has 3 red and 7 blue marbles. What is the probability of getting f getting a blue marble on the first try

solong [7]

Answer: 7/10

Step-by-step explanation:

First you add the total number of marbles. Then, you take the total number of blue marbles, and make that your denominator. The total number of marbles is your numerator.

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3 years ago

Through: (-1,4), perpendicular to y = x

Law Incorporation [45]

Answer:

y = -x + 3

Step-by-step explanation:

I graphed the equation on the graph below to show you that it goes through (-1,4) and is perpendicular to y = x.

6 0

3 years ago

a water balloon is tossed into the air with an upward velocity of 25 ft/s its height h(t) in ft after t seconds is given by the

Montano1993 [528]

When the height is 0 that is when it hits the ground
solve
0=-16t²+25x+3
cant factor so use quadratic formula

for
0=ax²+bx+c
$x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}$

so for
0=-16t²+25t+3
a=-16
b=25
c=3
so

$x=\frac{-25+/-\sqrt{25^2-4(-16)(3)}}{2(-16)}$
$x=\frac{-25+/-\frac{625+192}}{-32}$
$x=\frac{-25+/-\frac{817}}{-32}$
it has to be a positive time

so it will hit the ground after $\frac{25+\sqrt{817}}{32}$ seconds

4 0

3 years ago

Solve the equations for all values of x by completing the square x^2+62=-16x

lorasvet [3.4K]

Answer:

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Step-by-step explanation:

To complete the square, we first have to get our equation into $ax^2 + bx = c$ form.

First we add 16x to both sides:

$x^2 + 16x + 62 = 0$

And now we subtract 62 from both sides.

$x^2 + 16x = -62$

We now have to add $(\frac{b}{2})^2$ to both sides of the equation. b is 16, so this value becomes $(16\div2)^2 = 8^2 = 64$ .

$x^2 + 16x + 64 = -62+64$

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because $8\cdot8=64$ and $8+8=16$ .

$(x+8)^2 = -62 + 64$

We can now take the square root of both sides.

$x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}$

We can now isolate x on one side by subtracting 8 from both sides.

$x = \pm\sqrt{2} - 8$

So our solutions are

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Hope this helped!

4 0

3 years ago

PLEASE HELP ME! Find the cube roots of 125(cos 288° + i sin 288°).

shutvik [7]

◆ COMPLEX NUMBERS ◆

125 ( cos 288 + i sin 288 ) can be written as -

125.e^i( 288)
125.e^i( 288 +360 )
125.e^i( 288+ 720)

[ As , multiples of 360 can be added to an angle without changing any trigonometric functions or sign ]

To find the cube root , take the cube root of above 3 expressions ,

We get -
5 e^( i 96 )
5 e^( i 216 )
5 e^( i 336 )

Now using Euler's formula , We rewrite above as -

5 ( cos 96 + i sin 96 )
5(c os 216 + i sin 216 )
5 ( cos 336 + i sin 336 ) Ans.

6 0

3 years ago