ANother question!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

53. Chris's food truck sells grilled cheese sandwiches for $4 85 and deep

prisoha [69]

Answer:

The number of grilled cheese sandwiches sold was 132 and the number of deep fried Twinkies sold was 271

Step-by-step explanation:

Let

x -----> the number of grilled cheese sandwiches

y -----> the number of deep fried Twinkies

we know that

The system of equations that represent this scenario is equal to

x+y=403 ------> equation A

4.85x+2.95y=1,439.65 ------> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (132,271)

see the attached figure

therefore

The number of grilled cheese sandwiches sold was 132 and the number of deep fried Twinkies sold was 271

3 0

3 years ago

70 sixth-graders had an average weight of 90 pounds. 30 seventh graders had an average weight of 100 pounds. What was the averag

Brrunno [24]

We know that 70 sixth graders had an average weight of 90 pounds, and 30 seventh graders had an average weight of 100 pounds.

We know that the weight of all 70 sixth graders will be 70*90, since we're multiplying the total amount of students by the average.

Using this same logic tells us that the total weight for the 30 seventh graders is 30*100

The average weight for all 100 students will be the total weight of the sixth graders (which is 70*90) added with the total weight of the seventh graders (which is 30*100), then finally divided by the total amount of students in the sample space (which is 100).

$\dfrac{70(90)+30(100)}{100}$

$=\dfrac{6300+3000}{100}$

$=\dfrac{9300}{100}$

$=93$

The average of all 100 students is 93 pounds.

Let me know if you need any clarifications, thanks!

6 0

4 years ago

If f(x)=3x-2 and g(x)=x^2+1, find f(g(-1)) and g(f(3))

julsineya [31]

Answer:

$f(g(-1))=4$

$g(f(3))=50$

Step-by-step explanation:

We know the definition of both functions: $f(x)=3x-2$ , and $g(x)=x^2+1$

A) In order to evaluate what $f(g(-1)) is$ , let's first investigate what g(-1) is using the definition for this function:

$g(x)=x^2+1\\g(-1)=(-1)^2+1\\g(-1)=1+1\\g(-1)=2$

Now let's find what f(2) is using f(x) definition: $f(x)=3x-2\\f(2)=3(2)-2\\f(2)=6-2\\f(2)=4$

B) In order to evaluate what $g(f(3)) is$ , let's first investigate what f(3) is using the definition for this function:

$f(x)=3x-2\\f(3)=3(3)-2\\f(3)=9-2\\f(3)=7$

Now let's find what g(7) is using the definition for this function:

$g(x)=x^2+1\\g(7)=(7)^2+1\\g(7)=49+1\\g(7)=50$

4 0

3 years ago

The weight of the Earth is 5.9736 x 10^24 Kg. The weight of Venus is 4.8685 x 10^24 Kg. What is the combined weight of the earth

Mashcka [7]

1.08421X10^25 As for solving it... use a calculator lol that's all we do especially out of school. If you want to know how to do it without one head to Khan academy.

4 0

3 years ago

Write the equation of the line that passes through (1, 3) and has a slope of 2 in point-slope form. A) y – 1 = 2(x – 3) B) y – 3

fomenos

So point slope form is y=mx+b where m=slope and b=y intercept so

in (x,y) form
one solution is x=1 and y=3, also slope is 2 so
m=2
subsitute
3=2(1)+b
3=2+b
subtract 2
1=b
equation is
y=2x+1

tricky answers so simplify them
A: y-1=2(x-3)
distribute
y-1=2x-6
add 1
y=2x-5
not the answer

B: y-3=2(x-1)
distribute
y-3=2x-2
add 3
y=2x+1
correct
the answer is B

5 0

4 years ago