1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
melisa1 [442]
3 years ago
14

Simplify the exponential expression A- 5cdf B- 60cdf C- 60cdf D- 5cdf

Mathematics
1 answer:
jekas [21]3 years ago
5 0
------------------------------
(75c^2d^4f^8)/(15cd^3f^4)

75/15 x c^2d^4f^8 over cd^3f^4

5 x c^2d^4f^8 over cd^3f^4

5c^2-1d^4-3f^8-4

5c^1d^4-3f^8-4

5c^1d^1f^8-4

5c^1d^1f^4

5cd^1f^4

5cdf^4 or option A.
------------------------------
You might be interested in
Solve for u, z, y, or t.<br>​
jekas [21]

Doubt --!!

Where is your question!??????

5 0
2 years ago
X + y = 152,<br><br> 8.5x + 12y = 1,656<br><br> How many hats were sold?
Elodia [21]

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

x+y = 152\\8.5x+12y=1656

From equation 1:

x = 152-y

Putting the value of y in equation 2

8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

6 0
2 years ago
Help! Write two expression that have a sum of 3x-8
Nuetrik [128]

Answer:

(14 - x) + (4·x - 22) = 3·x - 8

6 0
3 years ago
What is the scale factor of 5mm:1cm
Goryan [66]
<span>
1 cm = 10mm

5 mm : 10mm : :1 : 2

hoped i helped. ^-^
</span>
5 0
3 years ago
Can someone please help me on number 16-ABC
melomori [17]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the inequality

-2x < 10

-6 < -2x

<u>Part a) Is x = 0 a solution to both inequalities</u>

FOR  -2x < 10

substituting x = 0 in -2x < 10

-2x < 10

-3(0) < 10

0 < 10

TRUE!

Thus, x = 0 satisfies the inequality -2x < 10.

∴ x = 0 is the solution to the inequality -2x < 10.

FOR  -6 < -2x

substituting x = 0 in -6 < -2x

-6 < -2x

-6 < -2(0)

-6 < 0

TRUE!

Thus, x = 0 satisfies the inequality -6 < -2x

∴ x = 0 is the solution to the inequality -6 < -2x

Conclusion:

x = 0 is a solution to both inequalites.

<u>Part b) Is x = 4 a solution to both inequalities</u>

FOR  -2x < 10

substituting x = 4 in -2x < 10

-2x < 10

-3(4) < 10

-12 < 10

TRUE!

Thus, x = 4 satisfies the inequality -2x < 10.

∴ x = 4 is the solution to the inequality -2x < 10.

FOR  -6 < -2x

substituting x = 4 in -6 < -2x

-6 < -2x

-6 < -2(4)

-6 < -8

FALSE!

Thus, x = 4 does not satisfiy the inequality -6 < -2x

∴ x = 4 is the NOT a solution to the inequality -6 < -2x.

Conclusion:

x = 4 is NOT a solution to both inequalites.

Part c) Find another value of x that is a solution to both inequalities.

<u>solving -2x < 10</u>

-2x\:

Multiply both sides by -1 (reverses the inequality)

\left(-2x\right)\left(-1\right)>10\left(-1\right)

Simplify

2x>-10

Divide both sides by 2

\frac{2x}{2}>\frac{-10}{2}

x>-5

-2x-5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-5,\:\infty \:\right)\end{bmatrix}

<u>solving -6 < -2x</u>

-6 < -2x

switch sides

-2x>-6

Multiply both sides by -1 (reverses the inequality)

\left(-2x\right)\left(-1\right)

Simplify

2x

Divide both sides by 2

\frac{2x}{2}

x

-6

Thus, the two intervals:

\left(-\infty \:,\:3\right)

\left(-5,\:\infty \:\right)

The intersection of these two intervals would be the solution to both inequalities.

\left(-\infty \:,\:3\right)  and \left(-5,\:\infty \:\right)

As x = 1 is included in both intervals.

so x = 1 would be another solution common to both inequalities.

<h3>SUBSTITUTING x = 1</h3>

FOR  -2x < 10

substituting x = 1 in -2x < 10

-2x < 10

-3(1) < 10

-3 < 10

TRUE!

Thus, x = 1 satisfies the inequality -2x < 10.

∴ x = 1 is the solution to the inequality -2x < 10.

FOR  -6 < -2x

substituting x = 1 in -6 < -2x

-6 < -2x

-6 < -2(1)

-6 < -2

TRUE!

Thus, x = 1 satisfies the inequality -6 < -2x

∴ x = 1 is the solution to the inequality -6 < -2x.

Conclusion:

x = 1 is a solution common to both inequalites.

7 0
3 years ago
Other questions:
  • Josiah went to the local barber to get his hair cut. It cost $18 for the haircut. Josiah tipped the barber 15%. What was the tot
    15·2 answers
  • 5. What is the surface area of this figure?<br> 7 yd<br> 7 yd<br> 5 yd<br> 7 yd<br> 7 yd
    5·1 answer
  • Rules for adding negative and positive signs
    6·2 answers
  • Which type of graph is MOST appropriate for making comparisons among data?
    15·2 answers
  • Solve the equation. -4n-6=12
    14·2 answers
  • A floor plan is drawing using a scale of 3cm/15ft what is the length is represented by 1 centimeter?
    13·1 answer
  • Arrange the decimal fractions in descending order.<br>1.3 0.13 3.1 0.31<br>​
    7·1 answer
  • I don't get this area models help....
    6·2 answers
  • Slope-intercept equation from graph
    13·1 answer
  • Plsss help and explain how to do it because im confused​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!