Carlos predicts he has 24 dollars in his wallet. If Carlos actually had 33 dollars, what was Carlos' percent error?

The dot plot below shows how many chocolate chips were in each cookie Lauren brought to school.

Marta_Voda [28]

8+9+10= 27 and 27 divided by 3 is 9. So the mean of the chocolate chips is 9

5 0

2 years ago

Can someone answer these ASAP

gayaneshka [121]

Remember that straight lines are 180°. For #1 angle 1 would be 40°, since 140°+40°=180°

4 0

3 years ago

Read 2 more answers

1/3x=5/12 show your work

insens350 [35]

Answer:

4/5 or 0.8

Step-by-step explanation:

1/3x = 5/12

cross multiply

(12×1) = (5×3x)

divide through by 15

x = 12/15

x = 4/5 or 0.8

3 0

3 years ago

How many solutions are there to the equation below?

elena55 [62]

Answer:

A) 0 (no solutions)

Step-by-step explanation:

Solve the equation:

3x - 10(x+2) = 13 - 7x

3x - 10x -20 = 13 - 7x

-7x - 20 = 13 - 7x

-20 = 13

Since both sides are clearly not equal to each other, no solution can satisfy both sides to be equal to each other. So A is correct.

5 0

2 years ago

Read 2 more answers

As Sales Manager for ISeeYou Productions, you are planning to review the prices you charge clients for television advertisement

aksik [14]

The development fee p can be modeled by the equation p=-400q+9600 where p is the price the company charges and q is the number of contracts they get. The total revenue R ISeeYou obtains by signing q contracts is found by using the function: $R(q)=-400q^{2}+9600q$ . The cost ISeeYou Productions can be found by using the following function: C(q)=800q+16000. The monthlhy profit of Express ISeeYou Productions if found with the next function: $P(q)=-400p^{2}+8800q-16000$ . ISeeYou should sign 2 or 20 contracts to break even.

a) In order to solve part a of the problem, we will suppose the price will have a linear relation with the amount of contracts they signed, so we need to find two points to build this function.

We know that when signing 6 contracts, the company charges $7,200, so our first point will be:

(6, 7200)

we also know that the company signs 14 contracts when they charge $4,000. So our second point is:

(14, 4000)

so we can use these points to find the slope of the line by using the

slope formula:

$m=\frac{p_{2}-p_{1}}{q_{2}-q_{1}}$

$m=\frac{4000-7200}{14-6}$

so the slope is:

m=-400

We can now use one of those points and the slope to find the function for the price, so we get:

$y-y_{1}=m(x-x_{1})$

$p-p_{1}=m(q-q_{1})$

if we used the point: (6, 7200) we get:

$p-7200=-400(q-6)$

which can now be simplified:

p=-400q+2400+7200

so the price function is:

p=-400q+9600

b) In order to find the revenue equation we need to multiply the price equation by the amount of contracts they signed in a month, so we get:

R(q)=pq

$R(q)=(-400q+9600)q$

$R(q)=-400q^{2}+9600q$

c) The cost can be found by adding the fixed cost and the variable cost, so we get:

C(q)=800q+16000

d) The profit is found by subtracting the montly cost from the monthly revenue, so we get:

P(q)=R(q)-C(q)

so

$P(q)=-400q^{2}+9600q-(800q+16000)$

so we can now simplify our function to get:

$P(q)=-400q^{2}+9600q-800q-16000$

$P(q)=-400q^{2}+8800q-16000$

e) In order to find the number of contracts for the company to break even, we need to find the q contracts that will give a profit of $0 so we set the function of the previous part of the problem equal to zero so we get:

$P(q)=-400q^{2}+8800q-16000$

$-400q^{2}+8800q-16000=0$