A company uses two vans to transportworkers from a free parking lot to theworkplace between 7:00 and 9:00 a.m.One van has 6 more seats than theother. The smaller van makes two tripsevery morning while the larger onemakes only one trip. The two vacantransport 57 people, maximum.Let x be the seats in the small van and y theseats in the large van. How many seats does thelarger van have?

Answers

Answer 1

Answer: x = small van capacity, y = larger van capacity
y = x + 6

2x + y = 57
now we sub in x + 6 for y
2x + x + 6 = 57
3x + 6 = 57
3x = 57 - 6
3x = 51
x = 51/3
x = 17

y = x + 6
y = 17 + 6
y = 23

small van (x) has 17 seats and large van (y) has 23 seats

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Find each difference. (–6s2 + 12s – 8) – (3s2 + 8s – 6)

Answers

Answer:

-9s2 + 4s -2

Step-by-step explanation:

(–6s2 + 12s – 8) – (3s2 + 8s – 6)=

(-6s2-3s2) +12s-8s -8+6=

-9s2 + 4s -2

Answer:

$-9s^2+4s-2$

Step-by-step explanation:

The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 9 inches long and 4 inches wide. Height is not listed. socratic.org

Answers

Answer:

$x=7.2$

Step-by-step explanation:

Let x represent height of the prism.

We know that volume of rectangular is equal to product of its height, width and length.

$\text{Surface area of rectangular prism}=2(wl+lh+hw)$ , where w, h and l represents width, length and height respectively.

We have been given that the surface area of rectangular prism is equal to the volume of the prism. So we can set an equation as:

$lwh=2(wl+lh+hw)$

We are also told that the measurements of the rectangular prism is 9 inches long and 4 inches wide. Upon substituting these values in above equation, we will get:

$9\cdot 4\cdot x=2(4\cdot 9+9\cdot x+x\cdot 4)$

Let us solve for x.

$36x=2(36+9x+4x)$

$36x=2(36+13x)$

$36x=72+26x$

$36x-26x=72+26x-26x$

$10x=72$

$x=(72)/(10)\n\nx=7.2$

Therefore, the value of x is 7.2 inches.

X^2+2x in factored form

Answers

in factor form, take x as a common factor
x(x+2)

Given the following diagram, enter the required information.m BXA = 30° 20', m CXB = 40° 35'
m CXA __° __'

Answers

Answer:

The length of the ∠CXA is 70° 55'

Step-by-step explanation:

Given = ∠BXA = 30° 20', ∠CXB = 40° 35'

To find = ∠CXA =?

Solution:

∠BXA + ∠CXB = ∠CXA (from the diagram)

30° 20' + 40° 35' = ∠CXA

∠CXA = 70° 55'

m(CXA) = m(BXA) + m(CXB)
= 30°20' + 40°35'
m(CXA) = 70°55'

I'm giving 50 points and brainliest answer to whoever can answer this... Please show your work so I can try to understand it xD <3

Answers

Ok, to solve this first you have to set up your proportion:

9/150=x/230

/ is a fraction

x= the number of vials it will take to treat 230 patients

in order to solve this, you have to cross multiply:

9 x 230= 2070

150 · x= 150x

so you get 150x=2070

then divide 2070 by 150

2070/150= 13.8

so it would take 13.8 vials of medicine to treat 230 patients

Okay, firstly, you want to work out how many people will 1 vial of malaria treat. So, you do this:

150 divided by 9= 16.6

That means for every 1 vial, 16.6 people are treated.

Since the question asks you to find out how many vials are needed if you're required to treat 230 people, you would do this:

230 divided by 16.6= 13.8

That means you need 13.8 vials to treat 230 people.

What is the simplified expression for 5ab+9ab-ab?