Solve each equation for the specified variable

Answer:

x = -2

Step-by-step explanation:

-11x + 14 = 36

-11x = 36 - 14

-11x = 22

x = 22/-11

x = -2

Answer:

-2

Step-by-step explanation:

1. Subtract 14 from both sides.

2. Simplify 36−14 to 22.

3. Divide both sides by -11.

4. Simplify 22/11 to 2.

Answer:

1

Step-by-step explanation:

because it needs to be positive

Answer:

Pull out like factors

  3x - 6  =   3 • (x - 2)

Pull out 6

6 • ( 1 +( (-1) ))

This equations is a tautology or an Identity which means it's always true.

Step-by-step explanation:

Answer: All real numbers

Step-by-step explanation:

Answer:

5.75

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

x-y

=(-2)-(-3)

=-2+3

=1

Answer: 1.75c + 1.75s

Step-by-step explanation:

The following can be deduced from the question:

Cost of either a can of gourmet chili = $1.75

Cost of a can of hearty soup = $1.75

c = the number of cans of chili purchased.

s = the number of cans of soup purchased.

To get the expression showing the total cost for the number of cans of chili and soup purchased,we multiply the the number of cans of chili purchased by 1.75 and also multiply the number of cans of soup purchased by 1.75. This will be:

= (1.75 × c) + (1.75 × s)

= 1.75c + 1.75s or 1.75(c+s)

Answer:

5x2-4x-3

Step-by-step explanation:

Answer:

C. 2a+2b

Step-by-step explanation:

Once you've distributed into the parenthesis, you multiply.

This gives you the equation of 2a+2b.

Answer: C. 2a + 2b

Step-by-step explanation: You use the Distribution Property to put the two inside the parentheses, and it would be 2 times a plus 2 times b. Hope this helps!

Answer:

8 is the answer

Answer:

10/18 Hours

Step-by-step explanation:

Clair Mowed 5 lawns last week

Time Taken last week= 5×7/18

=35/18 Hours

Clair Mowed 5 lawns this week

Time taken this week=5×5/18

=25/18 Hours

Clair takes: 35/18 - 25/18 = 10/18 times longer.

Answer:

x = 1/2 or x = 3

Step-by-step explanation:

Solve for x over the real numbers:

abs(7 - 4 x) = 5

Split the equation into two possible cases:

7 - 4 x = 5 or 7 - 4 x = -5

Subtract 7 from both sides:

-4 x = -2 or 7 - 4 x = -5

Divide both sides by -4:

x = 1/2 or 7 - 4 x = -5

Subtract 7 from both sides:

x = 1/2 or -4 x = -12

Divide both sides by -4:

Answer: x = 1/2 or x = 3

Answer:

5 games :)

. .

Answer:

4 games

Step-by-step explanation:

You take the two given numbers and add them together, which is 4.50.

Then you take 10 and divide it by 2.50 which gets you 4

4 GAMES

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

Those angles are corresponding so they are congruent to each other so you should do....

[tex]4m+15=5m-10\\15=m-10\\25=m[/tex]

Therefore the answer is D.

Answer:

Step-by-step explanation:

5m - 10 = 4m + 15

m - 10 = 15

m = 25

Answer:

Step-by-step explanation:

Dimensions of the rectangular park = 4 inches by 6 inches

Since scale factor = [tex]\frac{\text{Dimensions of the park on map}}{\text{Dimensions of the original park}}[/tex] = [tex]\frac{1}{30}[/tex]

[tex]\frac{4}{\text{Length of the original park}}=\frac{1}{30}[/tex]

Length of the original park = 120 miles

Similarly, width of the park = 180 miles

Area of the park = Length × Width

                           = 120 × 180

                           = 21600 square miles

Therefore, area of the original park is 21600 square miles.

Formula for the ratio of area of the park on map and original park is,

[tex]\frac{\text{Area of the park on map}}{\text{Area of the original park}}=(\text{Scale factor})^2[/tex]

[tex]\frac{6}{21600}=(\text{Scale factor})^2[/tex]

Scale factor = [tex]\sqrt{\frac{1}{3600}}[/tex]

                    = [tex]\frac{1}{60}[/tex]

Scale factor to reproduce the map so that it fits in the brochure will be 1 inch for every 60 miles.

● Answer:

6.25 km

● Step-by-step explanation:

Hi there !

4 cm ........... 5 km

5 cm ........... x km

x = 5cm×5km/4cm

= 25km/4

= 6.25 km

Good luck !

Answer:

it would be 17.10 because .95 x 18 is 17.1 and 17.1 and 17.10 are the same

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

6i[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex] and [tex]\sqrt{-1}[/tex] = i

Given

[tex]\sqrt{-72}[/tex]

= [tex]\sqrt{36(2)(-1)}[/tex]

= [tex]\sqrt{36}[/tex] × [tex]\sqrt{2}[/tex] × [tex]\sqrt{-1}[/tex]

= 6[tex]\sqrt{2}[/tex] × i

= 6i[tex]\sqrt{2}[/tex]

Answer:

1314.110429

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

En geometría, el segmento es un fragmento de recta que está comprendido entre dos puntos, llamados puntos extremos o finales. Así, dado dos puntos A y B, se llama segmento AB a la intersección de la semirrecta de origen A que contiene al punto B con la semirrecta de origen B que contiene al punto A

Complete Question

In proof testing of circuit boards, the probability that any particular diode will fail is 0.01.

Suppose a circuit board contains 200 diodes. How many diodes would you expect to fail, and what is the standard deviation of the number that are expected to fail? What is the (approximate) probability that at least four diodes will fail on a randomly selected board?If five boards are shipped to a particular customer, how likely is it that at least four of them will work properly? (A board works properly only if all its diodes work)

Answer:

  The number of diode expected to fail is

             [tex]\mu =2 [/tex]

 The standard deviation is

          [tex]\sigma  = 1.407 [/tex]

  The probability that at least four diodes will fail on a randomly selected board is  

[tex]P(X \ge 4) = 0.1419[/tex]

Step-by-step explanation:

Generally the testing follows a binomial distribution because

1 The number of trials is finite

2 There is only two outcomes( which (a) A diode fail (b) a diode does not fail)

3 The each individual trial is independent of each other.

4 The chances of success is constant for every trial

From the question we are told that

The probability that a diode will fail is [tex]p = 0.01[/tex]

The sample size is n = 200

Generally the number of diode expected to fail is mathematically represented as

[tex]\mu = n * p[/tex]

=> [tex]\mu = 200 * 0.01 [/tex]

=> [tex]\mu =2 [/tex]

Generally the standard deviation is mathematically represented as

[tex]\sigma = \sqrt{ np * (1 - p)}[/tex]

=> [tex]\sigma = \sqrt{ 200* 0.01 * (1 - 0.01 )}[/tex]

=> [tex]\sigma = 1.407 [/tex]

Generally the probability that at least 4 diode will fail is mathematically represented as

[tex]P(X \ge 4) = 1 - P(X < 4 )[/tex]

Generally

[tex]P(X < 4 ) = P(X = 0 ) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

=> [tex]P(X < 4 ) = ^nC_0 p^0 * (1-p)^{n-0} +^nC_1 p^1 * (1-p)^{n-1}+^nC_2 p^2 * (1-p)^{n-2}+ ^nC_3 p^3 * (1-p)^{n-3} [/tex]

=> [tex]P(X < 4 ) = ^{200}C_0 p^0 * (1-0.01)^{200-0} +^{200}C_1 (0.01)^1 * (1-0.01)^{200-1}+^{200}C_2 (0.01)^2 * (1-0.01)^{200-2}+ ^{200}C_3 (0.01)^3 * (1-0.01)^{200-3} [/tex]

=> [tex]P(X < 4 ) = 0.134 + 0.2707 + 0.2727 + 0.1814[/tex]

=> [tex]P(X<4) = 0.8581[/tex]

So

      [tex]P(X \ge 4) =  1 -0.8581)[/tex]

=> [tex]P(X \ge 4) = 0.1419[/tex]

Answer:

[tex] \frac{39}{52} = 0.75[/tex]

Answer:

[tex]\boxed{D. 10^1^1}[/tex]

Step-by-step explanation:

Hey there!

When dealing with these types of problems, you always need to subtract the exponents.

Given

[tex]\frac{10^8}{10^-^3}[/tex]

We subtract 8 and -3.

8 - (-3)

The 2 minuses make a plus

Therefore the answer is [tex]10^1^1[/tex]

Hope this helps :)

Answer:

C

Step-by-step explanation:

Just replaced the x with 5 and check if it is a true statement

Step-by-step explanation:

Step 1:

[tex]76 - (- 34)[/tex]

write the equation

Step 2:

[tex]76 + 34[/tex]

open the brackets and sign of -34 change into +34→

reason :

[tex] - \times + = - [/tex]

Step 3:

[tex]112[/tex]

after adding 76 and 36 we will get 112✓

hope it helped you:)

Which expression is equivalent to 76 - ( - 34 ) ?

First, Open the brackets, we get

76 + 34

Now, Add Them, we get

110

76 - ( - 34 ) = 110