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Nookie1986 [14]
4 years ago
15

sandy has several pichters.2 pitchers hold 64 ounces each and 4 pichers hold 48 ounces each.how mant ounces can sandys pitcher h

old
Mathematics
1 answer:
vfiekz [6]4 years ago
6 0
To answer this question you you start by writing the equation. (2*64)+(4*48)= Next, you answer the first parenthesis: 2 times 64... this is 128....now you have 128+(4*48)=... now you answer the next set of parenthesis.... 4 times 48....this is 192...now you have 128+192=.....this is 320...............So the answer to your question is sandys pitcher can hold 320 ounces alltogether.

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lisa and bob drove 100 miles on their vacation. lisa drove 22 miles more than bob drove. how many miles did each drive?
muminat
100=(22+bob)+bob
Bob=78/2
Bob=39
Lisa= 39+22
Bob drove 39 miles
Lisa drove 61 miles
3 0
3 years ago
Bennett purchase some beef and some chicken for a family barbecue the beef cost was $6.30 per pound and the chicken cost $4.60 p
Ivenika [448]

Answer: He bought 7 pounds of chicken and 5 pounds of beef

Step-by-step explanation: We shall start by assigning letters to the unknown variables. Hence, let b represent a pound of beef and let c represent a pound of chicken. If Bennett bought a total of 12 pounds of meat, then we can express this as

b + c = 12

Then if he spent a total of $63.7 on both types of meat, we can write it out as

6.3b + 4.6c = 63.7

We now have a pair of simultaneous equations, which are

b + c = 12 --------(1)

6.3b + 4.6c = 63.7 --------(2)

In equation (1) we shall make b the subject of the equation

b = 12 - c

We now substitute for the value of b into equation (2)

6.3(12 - c) + 4.6c = 63.7

75.6 - 6.3c + 4.6c = 63.7

We collect like terms and we now have

-1.7c = -11.9

Divide both sides of the equation by -1.7

c = 7.

Having found the value of c, we can now substitute for the value of c into equation (1)

b + c = 12

b + 7 = 12

Subtract 7 from both sides of the equation

b = 5.

Therefore, Bennett purchased 7 pounds of chicken and 5 pounds of beef.

6 0
4 years ago
In a triangle, two angles have measures of 45º and 85º. What is the measure of the third angle in this triangle?
schepotkina [342]
To figure out one measure of a triangle, we use A2+B2=C2
(Where a is the first measure times itself, b is the second side times itself and c is the longest side times itself). Once you figure that out and plug all your numbers into the formula, you can solve like a regular equation. 45 times 45 is 2,025. 85 times 85 is 7,225. We don't know c so we just put that as C2. Our equation- 2,025+7,225= C2
Add the numbers to get 9,250= C2
Our answer is 96. (Because 96 times itself is 9,250). The answer is not exact so I just rounded it to the nearest whole number.
7 0
3 years ago
Oil is leaking out of a ruptured tanker at the rate of r(t)=30e^(?0.09t) thousand liters per minute.
zmey [24]

Answer:

A)

At t = 0, oil is leaking out of a ruptured tanker at the rate of 30 thousand liters per minute.

At t = 60, oil is leaking out of a ruptured tanker at the rate of 0.1355 thousand liters per minute.

B)

331.82 thousands of liters leak out during the first hour.

Step-by-step explanation:

The oil leakage rate, in thousand liters per minute, is:

r(t) = 30e^{-0.09t}

A. At what rate, in thousands of liters per minute, is the oil leaking out

At t = 0:

This is r(0)

r(t) = 30e^{-0.09t}

r(0) = 30e^{-0.09*0} = 30

At t = 0, oil is leaking out of a ruptured tanker at the rate of 30 thousand liters per minute.

At t = 60:

This is r(60)

r(t) = 30e^{-0.09t}

r(60) = 30e^{-0.09*60} = 0.1355

At t = 60, oil is leaking out of a ruptured tanker at the rate of 0.1355 thousand liters per minute.

B. How many thousands of liters leak out during the first hour?

r(t) is in thousand liters per minute.

Each hour has 60 minutes.

So the answer to this question is the integral from 0 to 60 of r(t).

Integral of the exponential function

\int {e^{at}} \, dt = \frac{e^{at}}{a}

So

\int\limits^{60}_0 {r(t)} \, dt

\int\limits^{60}_0 {30e^{-0.09t}} \, dt

-333.33e^{-0.09t}, from t = 0 to t = 60.

This is

-333.33e^{-0.09*60} - (-333.33e^{-0.09*0}) = 331.82

331.82 thousands of liters leak out during the first hour.

6 0
4 years ago
Which point lies in the solution set for the following system of inequalities?
Sever21 [200]
You can do trial and error to all of the choices. They are presented as coordinates (x,y). Just substitute the x and y values, then if they satisfy the equation, then that is the answer. Among the choices, the answer would be B. Here's why:

x = 3, y = 4

2(3) + 4 > 8
10 > 8   TRUE

3 - 4 < 2
-1 < 2  TRUE

Thus, the answer is B.

3 0
3 years ago
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