The difference between two numbers is 120. If the smaller number is 720 what is the larger number?

A truck is carrying peach juice , apple juice, and tomato juice bottles in a ratio of 7;1:2. If there are 1748 tomato juice Bott

Alja [10]

The answer is 8,740 juice bottles in total

8 0

3 years ago

When the center of Earth is 3.8 × 105 kilometers from the center of the moon, the force of gravity between Earth and the moon is

kolezko [41]

Given:
r = 3.8x10⁵ km = 3.8x10⁸ m, the distance between the earth and moon,
F = 20.46x10²⁵ N, the gravitational force between the earth and the moon,
G = 6.674x10⁻¹¹ m³/(kg-s²), gravitational constant
M = 5.972x10²⁴ kg, the mass of the earth.

Let m = mass of the moon.
Then
F = (G*M*m)/r^2
or
m = (F*r^2)/(G*M)

In SI units,
m = [20.46×10²⁵ * (3.8×10⁸)²]/[6.674×10⁻¹¹ * 5.972×10²⁴]
= 7.4125×10²⁸ kg

Answer: 7.4125x10²⁸ kg

5 0

3 years ago

Graphing inequalities k < -3

NikAS [45]

Step-by-step explanation: So when graphing this problem, we start at -3 on our number line with an open dot because k is less than but not equal to -3. I have shown this in the image attached below.

We then draw an arrow going to the left to represent all number less than -3.

Finally, we put our answer in set notation which is shown below.

{K: k < -3}

All this means is that if we take any number less than -3, this will be a solution for the inequality k < -3.

7 0

3 years ago

the glass tank in Karen's car holds 15 gallons of gas. Her car gets between25 and 30 miles to the gallon. If Karen fills up the

Vlada [557]

So this problem is asking for the difference in the total amount of gas in the tank and the amount of gas consumed. You have the total amount of gas–15 gallons. You have the information in the problem to find the amount of gas consumed. The car can go 32 miles before consuming a full gallon of gas and it traveled 384 miles. So if you divide the 384 miles by 32 miles per gallon, you are left with the gallons consumed. Once you have this number, you can subtract it from 15 gallons–the total amount of gas in the tank–to get how much gas is left.

3 0

3 years ago

Find z 1 z 2 if z 1 = 3(cos37° + isin37°) and z 2 = (cos53° + isin53°

Mashutka [201]

Answer:

$Z_{1} Z_{2} = 3 i$