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dalvyx [7]
2 years ago
10

Zeke and six of his friends are going to a baseball game. Their combined money totals $28.50. At the game, hot dogs cost $1.25 e

ach, hamburgers cost $2.50 each, and sodas cost $0.50 each. Each person buys one soda. They spend all $28.50 on food and soda. Determine how many different combinations, including those combinations containing zero, of hot dogs and hamburgers Zeke and his friends can buy, spending all $28.50. ENTER
Mathematics
1 answer:
Arturiano [62]2 years ago
4 0

1.25x + 2.5y + 0.5z ≤ 28.5

is your inequality

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Anuta_ua [19.1K]
You will receive $23.56 back.
4 0
3 years ago
32 ounces of water in a glass someone drink 55% how many ounces left in glass
borishaifa [10]
Hello!

Convert 55% to a decimal by dividing it by 100.

55 ÷ 100 = 0.55

Next, multiply the total amount of ounces of water by this decimal.

32 × 0.55 = 17.6

Finally, subtract the amount of ounces that person drank from the total number of ounces before they drank.

32 - 17.6 = 14.4

ANSWER:

14.4 ounces of water are left in the glass.
5 0
3 years ago
27 / 86 Marks
pashok25 [27]
We have: 3x - 15 = 2x + 24
3x - 2x = 24 + 15
X = 39
7 0
2 years ago
Read 2 more answers
HELP PLS I NEED TO TURN IT IN MONDAY!
AnnyKZ [126]

Terri can swim 3 laps in 2.5 minutes. To find how long it takes to swim 20 laps, you can make a proportion.

\frac{Lap}{Time}

Put the amount of laps on the top and the time(minutes) at the bottom.

\frac{3}{2.5} = \frac{20}{x}

Cross multiply:

20 \times 2.5 = 50

Divide by 3:

50 \div 3 = 16 \frac{2}{3} \rightarrow 16.67

It would take Terri 16 \frac{2}{3} OR 16.67 minutes to run 20 laps.

6 0
3 years ago
Find the point P on the line yequals=66x that is closest to the point (74 comma 0 )(74,0). What is the least distance between P
tekilochka [14]

Answer:

The point P that is closest to the point (74, 0) is P(7.4, 22.2), and the least distance between P and (74, 0) is 70.2

Step-by-step explanation:

Given

y = 66x

And a point A(74, 0)

We are required to find the point on the line that is closest to A, and then find the distance between these points.

Let the point be P(s, t)

Because it's coordinate satisfies the given equation

y = 3x

Let t = 3s, then we have

p(s, t) = P(s, 3s)

Next, we find the distance between P and A

Let the distance be

D = √[(x1 - y1)² + (x2 - y2)²]

Here x1 = 74, x2 = 0, y1 = s, y2 = 3s.

D = √[(74 - s)² + (0 - 3s)²]

= √(s² - 148s + 5476 + 9s²)

= √(10s² - 148s + 5479)

To maximize the distance, we find the derivative of D with respect to s, and set it to 0.

That is dD/ds = 0

dD/ds =

(20s - 148)/2√(10s² - 148s 5479) = 0

=> 20s - 148 = 0

20s = 148

s = 148/20

s = 7.4

Since t = 3s, we have

t = 22.2

So, the point is P(7.4, 22.2)

Finally, we find the distance D.

D = √[(74 - s)² + (0 - 3s)²]

D = √[(74 - 7.4)² + (0 - 3×7.4)²]

D = √(4435.56 + 492.84)

= √4928.4

D = 70.2

Therefore, the distance is 70.2

4 0
3 years ago
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