The sum of two numbers is 39. The smaller number is five less than the larger number. What are the numbers?

Answers

Answer 1
Answer:

Answer:

22 and 17

Step-by-step explanation:

Using guess and check, I found this answer. If you wanted to show your work, you could make a table and put both numbers on the left side, add them up, and put the answers on the right side until you got to 39.


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Monte performs an experiment using 2 identical graduated cylinders with a radius of 2 cm. The volume of the liquid in the first graduated cylinder is 188.4 cm3. The volume of the liquid in the second graduated cylinder is 314 cm3.What is the difference in the height of the liquid in the two cylinders?

Use 3.14 to approximate pi.

Answers

Answer:

The difference of height is 10 cm

Step-by-step explanation:

Monte performs an experiment using 2 identical graduated cylinders with a radius of 2 cm.

The volume of the liquid in the first graduated cylinder is 188.4 cm³

The volume of the liquid in the second graduated cylinder is 314 cm³

Let height of first graduated cylinder be h₁ and radius (r) = 2 cm

Let height of second graduated cylinder be h₂ and radius (r) = 2 cm

Formula:

\text{Volume of cylinder}=\pi r^2h

\text{Volume of 1st cylinder}=\pi\cdot 2^2h_1

188.4=3.14\cdot 2^2\cdot h_1

h_1=15 cm

\text{Volume of 2nd cylinder}=\pi\cdot 2^2h_2

314=3.14\cdot 2^2\cdot h_2

h_2=25 cm

The difference in the height of the liquid in two cylinder,

\Rightarrow h_2-h_1

\Rightarrow 25-15

\Rightarrow 10 cm

Hence, The difference of height is 10 cm

Volume of a cylinder of radius r, height h : V=\pi*r^2*h

hence the height of the liquid in the first cylinder is h1=(188.4)/(2^2\pi)=15 cm, and in the second cylinder h2=(314)/(2^2\pi)=25 cm

Hence the difference is h2-h1=25-15=10 cm

A kitchen garbage can is 5/10 full. A garbage truck is 1/10 full. Wich is less full?

Answers

the kitchen garbage is 50% full
the truck is 10% full
which percent is less
the one that is filled the less would be the garbage can because the truck would get filled even more.

A sports club needs to raise at least $240 by selling chocolate bars for $3.00 each. Sebastian wants to know how many chocolate bars, c, the sports club must sell in order to reach their goal. He represented this situation as 3c > 240. Which graph represents this inequality?

Answers

Answer:

Graph 3.

Step-by-step explanation:

Since they need to earn $240 by selling $3 candy bars, they must sell at least 80 candy bars since 240/3 = 80.

With this in mind, selling more than 80 candy bars would be acceptable, but selling less would not which is why the third graph is correct.

Answer:

c

Step-by-step explanation:

To find 36+29+14, Joshua rewrote the expression as 36+14+29. What property did Joshua use to rewrite the expression?

Answers

Josua used the communitive property of addition
Joshua used   commutative  property to rewrite the expression.  

Find the measurement of angle NOP

Answers

to find the measure of angle NOP you must solve for x.  to find x you can use the triangle angle sum theorem which states that all angles in a triangle sum to 180 degrees.  Using this you can set up the equation, 180= 82 + 10x + 4x, then solve using algebra.  98=14x.  98 divided by 14 equals 7 which equals x.  However, this is not the answer because angle NOP equals 4x so 7 multiplied by 4 equals 28

The price of a gallon of milk went from $2.70 to $3.50 in four years. Find the rate of change of the price of milk.A) $0.10 per year
B) $0.20 per year
C) $0.50 per year
D) $0.80 per year

Answers

Answer: B)$0.20 per year

Step-by-step explanation:

Given: The previous price of a gallon of milk = $2.70

The new price of a gallon of milk = $3.50

Time to increase price = 4 years

Now, the rate of change of price of milk is given by:-

k=\frac{\text{New price-Previous price}}{Time}\n\n\Rightarrow\ k=(3.50-2.70)/(4)\n\n\Rightarrow\ k=(0.80)/(4)\n\n\Rightarrow\ k=20

Hence, the rate of change of the price of milk= $0.20 per year

b. $0.20 per year ............