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balandron [24]
3 years ago
8

Simplify the following expressions without using a calculator

Mathematics
1 answer:
wolverine [178]3 years ago
6 0

Answer:

13x^3y^4 i am not sure

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A glass is 4/7 full. Then 70 cm³ orange juice is poured in. The glass is now 3/4 full.
Nataly_w [17]

Answer:

The volume of the glass is 217.8 cm³

Step-by-step explanation:

If the glass were initially 4/7 full, that means 3/7 of the volume is still available to hold more juice.

Let v represent the volume of the glass.  

Then (3/7)v + 70 cm³ = (3/4)v.

We need to solve this for v.

Here the LCD is 28.  Thus,

(3/7)v + 70 cm³ = (3/4)v →  (12/28)v + 70 cm³ = (21/28)v.

Subtracting  (12/28)v from both sides, we get:

70 cm³ = (9/28)v.

We can isolate v by mult. both sides by the inverse of 9/28, which is 28/9:

(28/9)(70 cm³) = v

The volume of the glass is 217.8 cm³

3 0
3 years ago
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A catering company has small tables and large tables. Small tables seat 4 people and large tables seat 6 people. You are plannin
lutik1710 [3]

Answer:

idk

Step-by-step explanation:

6 0
3 years ago
You work at an ice-cream shop. One of your jobs is to order new ice-cream cones. You pick the cone that is 5 inches high and has
Taya2010 [7]
We have that
the Volume of cone=(1/3)*B*h
B=the area of the base
h= the height of the cone
D=3.5 in-----------------> r=D/2=1.75 in
h=5 in
B=pi*r²---------> 3.14*1.75²=9.616 in²
V=(1/3)*9.616*5=48.08 in³--------> 48 in³

the answer is 48 in³
5 0
3 years ago
Read 2 more answers
If ABCD is dilated by a factor of 2, the
Anna [14]
(4,4) are the coordinates of C prime
6 0
2 years ago
Nando is on a rehabilitation program following a car accident. For the first month, he needs to exercise at most five hours per
emmasim [6.3K]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of hours per week Nando is brisk walking  and y be the number of hours per week Nando is  biking at a moderate pace.

For the first month, he needs to exercise at most five hours per week, then

x+y\le 5

Brisk walking burns about 350 calories per hour, then it burns 350x calories per x hours.

Biking at a moderate pace burns about 700 calories per hour, then it burns 700y calories per y hours.

Nando must burn at least 2,000 calories per week, so

350x+700y\ge 2,000

You get the system of two inequalities:

\left\{\begin{array}{l}x+y\le 5\\ 350x+700y\ge 2,000\end{array}\right.

The attached graph shows the solution set to this system of inequalities. In this diagram, red region represents the solution set to the first inequality, blue region represents the solution set to the second inequality and their intersection is the solution set to the system of two inequalities.

4 0
3 years ago
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