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3 years ago

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Jennifer was baking cupcakes for her class. She needed to bake 35 cupcakes in all. Each cupcake needed .13 cups of sugar. How ma

ny cups of sugar will she need in order to make the 35 cupcakes?

1 answer:

Paraphin [41]3 years ago

3 0

Answer and working out attached below. Hope it helps

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What 2 numbers multiply to be -14 and add to be -3

Svetach [21]

Xy = -14
x + y = -3

$xy = -14$
$\frac{xy}{x} = \frac{-14}{x}$
$y = \frac{-14}{x}$

$x + y = -3$
$x + \frac{-14}{x} = -3$
$\frac{x^{2}}{x} + \frac{-14}{x} = -3$
$\frac{x^{2} - 14}{x} = -3$
$x^{2} - 14 = -3x$
$x^{2} + 3x - 14 = 0$
$x = \frac{-(3) \± \sqrt{(3)^{2} - 4(1)(-14)}}{2(1)}$
$x = \frac{-3 \± \sqrt{9 + 56}}{2}$
$x = \frac{-3 \± \sqrt{65}}{2}$
$x = \frac{-3 \± 8.06}{2}$
$x = -1.5 \± 4.03$
$x = -1.5 + 4.03$ $or$ $x = -1.5 - 4.03$
$x = 2.53$ $or$ $x = -5.53$

  x + y = -3
2.53 + y = -3
- 2.53 - 2.53
  y = -5.53
  (x, y) = (2.53, -5.53)

x + y = -3
  -5.53 + y = -3
+ 5.53   + 5.53
  y = 2.53
  (x, y) = (-5.53, 2.53)

The two numbers that multiply to -14 and add up to -3 are -5.53 and 2.53.

8 0

3 years ago

How do I get the answer??

Lubov Fominskaja [6]

Answer:

4√10

Step-by-step explanation:

Hello!

Let's first simplify the radical.

We can do this by expanding the radical:

We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.

Let's work with √45:

√45 can be written as √9 * √5 (using the rule √ab = √a * √b)
√9 simplifies to 3, so it is 3√5

Now we can simplify the operation in the parenthesis by combining like terms:

3√5 + √5
√5 + √5 + √5 + √5
4√5

Now using the same rule as above, we can multiply the values:

√2(4√5)
4√10

Your solution is 4√10

3 0

2 years ago

True or false.<br> y +2<8; y = 3

Evgesh-ka [11]

Answer:

false

Step-by-step explanation:

4 0

3 years ago

A circle of red roses is planted in Lowell's central park. The circle has a radius of 1 meter.

Damm [24]

Answer:

The circle's circumference is 6.28 m.

Step-by-step explanation:

We have,

The circle has a radius of 1 meter.

It is required to find the circumference of the circle. The formula of the circumference of circle is given by :

$C=2\pi r$

r is radius

$C=2\times 3.14\times 1\\\\C=6.28\ m$

So, the circle's circumference is 6.28 m.

4 0

3 years ago

The height, h, of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the fun

Bogdan [553]

Answer:

Average rate of fall = $\frac{h(3)-h(0)}{3}$

Step-by-step explanation:

Since they give you an expression for the position of the object as a function of time, one can derive the average velocity of the object during the first 3 seconds of the fall by estimating the position of the object at time 0, the position of the object at time 3 seconds, finding the displacement of the object (distance covered) in that interval of time (via a subtraction of these two quantities), and finally dividing this change by the elapsed time (3 seconds) thus using the concept that velocity is the quotient between distance covered over the elapsed time:

Average rate of fall = (h(3) - h(0))/ 3

Average rate of fall = $\frac{h(3)-h(0)}{3}$

4 0

3 years ago

Read 2 more answers