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spayn [35]
3 years ago
14

5x-10y+15z find the equivalent expression by factoring

Mathematics
1 answer:
Marat540 [252]3 years ago
5 0

\huge\boxed{5(x-2y+3z)}

We can divide each term by a factor of 5. 5(1x-2y+3z)

You don't need a coefficient of 1, so simplify that. \boxed{5(x-2y+3z)}

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The formula F=9/5C+32 converts temperatures from Celsius C to Fahrenheit F. A. Solve the formula for C b. The boiling point of w
liraira [26]

Answer:

(a) \therefore C=\frac59(F-32)

(b)The boiling point of water in Celsius scale is 100°C.

(c)The setting in Celsius scale is 26.7°C.

Step-by-step explanation:

Given that,the formula is

F=\frac95 C+32......(1)

(a)

Given that,

F=\frac95 C+32

\Rightarrow F-32=\frac95 C+32-32     [ subtracting 32  from both sides]

\Rightarrow F-32=\frac95 C

\Rightarrow \frac95 C=F-32

\Rightarrow C=\frac59(F-32) ......(2)         [Multiplying \frac59  ]

\therefore C=\frac59(F-32)

(b)

Given that, the boiling point of water is 212°F.

Putting F=212 in equation (2)

\therefore C=\frac59(212-32)

\Rightarrow C=\frac59\times 180

\Rightarrow C=5\times 20

\Rightarrow C=100

The boiling point of water is 100°C.

(c)

Given that, a house thermostat is set at 80 degree.

Putting F=80 in equation (2)

\therefore C=\frac59(80-32)

\Rightarrow C=\frac59\times 48

\Rightarrow C\approx26.7

The setting in Celsius scale is 26.7°C.

7 0
3 years ago
In the figure shown, FG is tangent to circle D.
romanna [79]

Answer:

Option B

Step-by-step explanation:

From the figure attached,

Circle D is drawn with the radius = DG or DE

A tangent FG has been drawn at a point G on the circle from an external point F.

By theorem,

Radius of a circle is always perpendicular to the tangent, drawn to the circle from an external point.

Therefore, DG ⊥ FG.

Option B will be the correct option.

8 0
3 years ago
you are in a room with other students and are asked to get in groups of 3. when finished, there are 21 groups of 3. how many stu
Nataliya [291]

Answer:

63

Step-by-step explanation:

Total groups: 21

number of students in each group: 3

total = 21 *3 =63

4 0
3 years ago
Read 2 more answers
there are 6 girls and 7 boys in a class. a team of 10 players is to be selected from each class. how many different combinations
galben [10]

Answer:

Answer: 286

Step-by-step explanation:

6+7=13

13C10=286  

Answer: 286

5 0
3 years ago
The original price of a camera is $150. If a discount of 30% is given, what is the discounted price of the camera?
MArishka [77]
So, 30% is 0.30, but since you are taking off 30%, you are going to have 70% of the price which is 0.70. The word "of" lets you know that you are going to multiply. So, what you do is 150•0.70=105. The discounted price is $105
3 0
3 years ago
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