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Dafna1 [17]
3 years ago
11

Cal spent 4 times as much time working on the science fair project as Emmet. Together, they spent 720 minutes working on the pro

ject. Which equation can be used to find how many minutes each spent on the science fair project?
Mathematics
2 answers:
ki77a [65]3 years ago
6 0

Answer:

2880

Step-by-step explanation:

You have to multiply 720 and 4.

Natasha_Volkova [10]3 years ago
6 0

Answer:I think the equation would be 720 divided by 4

Step-by-step explanation:and it would equal 180

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Find the vertex, focus, directrix, and focal width of the parabola. x2 = 12y
Molodets [167]
\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
4p(x- h)=(y- k)^2
\\\\
\boxed{4p(y- k)=(x- h)^2}
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ( h, k)\\\\
 p=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
x^2=12y\implies (x-0)^2=12(y-0)\implies (x-\stackrel{h}{0})^2=4(\stackrel{p}{3})(y-\stackrel{k}{0})

so, the vertex of h,k is at the origin, as you can see 0,0.

4p is the focal width, which is well, 4*3.

now, the parabola has a positive leading term's coefficient, namely 1x², the 1 is positive, well, that simply means that, since the squared variable is the "x", is a vertical parabola, and since its coefficient is positive, is opening upwards, like a bowl.

 the focus point will be "p" distance from the vertex, and the directrix is also "p" distance from the vertex as well, but in the opposite direction.

since the parabola is opening upwards, that's where the focus point is at, 3 units UP from 0,0, namely at (0,3).

and due to the same reason as above, the directrix is 3 units DOWN from the vertex, namely a horizontal line running over y = -3.
5 0
3 years ago
Please help
Ipatiy [6.2K]
The answer is c hope it helps:)
3 0
3 years ago
How to solve 3d+4=2+3d-1/2
Iteru [2.4K]

If im looking at it correct theres no solution

8 0
3 years ago
Two mechanics worked on a car. The first mechanic worked for 15
4vir4ik [10]

Answer:

First: $65

Second: $115

Step-by-step explanation:

We write equations for each part of this situation.

<u>The Total Charge</u>

Together they charged 1550. This means 1550 is made up of the first mechanics rate for 15 hours and the second's rate for 5 hours. Lets call the first's rate a, so he charges 15a. The second's let's call b. He charges 5b. We add them together 15a+5b=1550.

<u>The Sum of the Rates</u>

Since the first's rate is a and the second is b, we can write a+b=180 since their sum is 180.

We solve for a and b by substituting one equation into another. Solve for the variable. Then substitute the value into the equation to find the other variable.

For a+b=180, rearrange to b=180-a and substitute into 15a+5b=1550.

15a + 5 (180-a)=1550

15a+900-5a=1550

10a+900-900=1550-900

10a=650

a=$65 was charged by the first mechanic.

We substitute to find the second mechanic's rate.

65+b=180

65-65+b=180-65

b= $115 was charged by the second mechanic

4 0
3 years ago
Explanation would be appreciated, last word is indicated.​
iVinArrow [24]

Answer:

AC = 28

Step-by-step explanation:

Ok, we know that:

Points A, B, and C are collinear.

Point B is between A and C.

We want to find the length AC (distance between A and C), if we know that:

AB = 16

BC = 12

Ok, knowing that B is between the other points, we know that:

AB + BC

defines the total length of the segment that connects the 3 points.

Thus, if we define this segment as a length, we only use the endpoints, A and C.

Then we have that:

AB + BC = AC

now we can solve this:

16 + 12 = AC

28 = AC

7 0
3 years ago
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