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Alex17521 [72]
4 years ago
5

your school is sponsoring a pancake dinner to raise money for a field trip. You estimate that 200 adults and 250 children will a

ttend. let x represent the cost an adults ticket and y represent the cost of a child's ticket. solve 200x+250y=3800 explain how you would solve it the explain how you would graph the line
Mathematics
1 answer:
kumpel [21]4 years ago
5 0
Equation is: 200x + 250y = 3800
Put x = 0
then 250y = 3800
y = 3800 / 250
y = 15.2

Now, Put y = 0
200x = 3800
x = 3800/200
x = 19

So, the coordinates are: (19, 0) & (0, 15.2)
We will mark those coordinates & draw the line from origin. Graph is done

Hope this helps!
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Find m and b of y
k0ka [10]

Answer:

m = 2.25

b = 4.15

Step-by-step explanation:

Let us consider the points (1, 6.4) & (3, 10.9)

Slope (m) = (10.9 - 6.4)/(3 - 1) = 4.5/2 = 2.25

Now, by point slope formula of a line, we have:

y - y_1 = m(x - x_1)

\therefore y - 6.4 = 2.25(x - 1)

\therefore y - 6.4 = 2.25x - 2.25

\therefore y = 2.25x - 2.25+6.4

\therefore y = 2.25x + 4.15

Equating it with y = mx + b, we find:

m = 2.25

b = 4.15

5 0
3 years ago
The fish tank has side lengths 20in, 10in and height 15in. The water level is two inches below the top of the tank. A glass sphe
Kitty [74]

Answer:

Part 1) The new distance from the water to the top of the tank is 1.979\ in

Part 2) The maximum number of balls that can be put into the tank with the tank not overflowing is 95

Step-by-step explanation:

step 1

Find the total volume of the tank

V=20*10*15=3,000\ in^{3}

step 2

Find the volume of the tank if the water level is two inches below the top of the tank

V=20*10*(15-2)=2,600\ in^{3}

step 3

Find the volume of the glass sphere

The volume of the glass sphere is equal to

V=\frac{4}{3}\pi r^{3}

we have

r=1\ in

assume

\pi=3.14

substitute

V=\frac{4}{3}(3.14)(1)^{3}

V=4.2\ in^{3}

step 4

What is the new distance from the water to the top of the tank?

we know that

2 in -----> represent (3,000-2,600)=400\ in^{3}

so

using proportion

Find how many inches correspond a volume of 4.2\ in^{3}

\frac{2}{400}\frac{in}{in^{3}}=\frac{x}{4.2}\frac{in}{in^{3}}\\ \\x=4.2*2/400\\ \\x=0.021\ in

The new distance from the water to the top of the tank is

2-0.021=1.979\ in

step 5

Find how many of these balls can be put into the tank with the tank not overflowing

we know that

The volume of one ball is equal to  4.2\ in^{3}

using proportion

\frac{1}{4.2}=\frac{x}{400}\\ \\x=400/4.2\\ \\x=95.23\ balls

therefore

The maximum number of balls that can be put into the tank with the tank not overflowing is 95

4 0
3 years ago
Please answer!
Digiron [165]
26/40 = 13/x
26x = 520
x = 520/26
x = 20 <== ur answer
4 0
3 years ago
Read 2 more answers
if syn spends 15 minutes running, he burns 200 calories. how long would it take Syn to burn 150 calories?
kramer

Answer:

<h2>11.25min</h2>

Step-by-step explanation:

In this problem, we first need to find the rate at which syn burns calories per minute

so in 15mins, he burns 200 calories

    in 1 mins he will burn x

x= 200/15

x=13.33 calories per min this is the rate

So in one minute he will burn 13.33 calories

Now using the idea of rate=quantity/time

the rate=13.33

quantity=15 calories

time=?

time=quantity/rate

time=150/13.33

time=11.25min

   Alternatively

(very fast approach)

         if syn spend 15min to burn 200 cal

then he will spend x min to burn 150 cal

cross multiply

x=(150*15)/200

x=2250/200

x=11.25mins

5 0
3 years ago
Solve the proportion then around your answer to the nearest hundredth
ANEK [815]
The answer is 12.1
Have a nice day
6 0
3 years ago
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