If mZ3 = 74°, find each measure.

Given:

The inequality is

[tex]x-(5-3x)\leq 2x-1[/tex]

To find:

The solution of the given inequality.

Solution:

We have,

[tex]x-(5-3x)\leq 2x-1[/tex]

[tex]x-5+3x\leq 2x-1[/tex]

[tex]4x-5\leq 2x-1[/tex]

Subtract 2x from both sides.

[tex]4x-5-2x\leq 2x-1-2x[/tex]

[tex]2x-5\leq -1[/tex]

Add 5 on both sides.

[tex]2x-5+5\leq -1+5[/tex]

[tex]2x\leq 4[/tex]

Divide both sides by 2.

[tex]x\leq 2[/tex]

It means, the numbers less than 2 or 2 are included in the solution set.

Number on the left side of 2 are less than 2. So, number line with a filled circle at 2 and shading to the left.

Therefore, the correct option is D.

Answer:

20 seconds

Step-by-step explanation:

s = Distance traveled by elevator = 300 ft

t = Time taken = 5 seconds

Velocity is given by

[tex]v=\dfrac{s}{t}\\\Rightarrow v=\dfrac{300}{5}\\\Rightarrow v=60\ \text{ft/s}[/tex]

Distance to the observation level from the lobby = 1200 ft

Time taken is given by

[tex]t=\dfrac{1200}{60}\\\Rightarrow t=20\ \text{s}[/tex]

Time taken to reach the observation level from the lobby is 20 s.

Answer:

x=6

Step-by-step explanation:

10x+21x-6=180 ( straight angle)

31x=180+6

x=186/31

x=6

Answer:

c

Step-by-step explanation:

Answer:

C::10:15

Step-by-step explanation:

It is C because he had 15 hours of first aid and 10 hours of cpr and the question says CPR TO FIRST AID therefore the number of CPR training hours will come before the number of First Aid training hours. If it would have asked you to reduce the ratio it would have been 2:3 because you would have had to divide both sides by 5 resulting in the smallest possible ratio.

HOPE THIS HELPS YOU OUT!

Answer:

y= -x+5

Step-by-step explanation:

→first you need to identify 2 points. I'm using (5,0) and (0,5)

→second you need to find the slope using y2-y1/x2-x1 as your formula

5-0/0-5= 5/-5=-1

→then you need to use y-y1=m(x-x1) formula

y-0=-1(x-5)

(distribute the -1)

y-0= -1x+5 (+5 because a negative times a negative is a positive)

(combine like terms)

y= -1x+5

→once you solve you get y= -x+5

Answer: 6

Step-by-step explanation: 8 - 2 = (6) Range is the difference between the highest and lowest number just for future references. Hope this helped! :)

Answer: i think is 8 also that person already explain

Step-by-step explanation: have a nice day

Answer:

3, -3

Step-by-step explanation:

im assuming that the buss only repeat the rout once? so in total they do 2 routes?

bus a at 3:50 and bus b at 4:00

Given :

One company buys a new bulldozer for $130800.

The company depreciates the bulldozer linearly over its useful life of 20 years. It salvage value at the end of 20 years is $19800.

To Find :

The value of the Bulldozer, V, as a function of how many years old it is, t.

Solution :

Let, the equation is :

V = mt + c     .....1)

For, t = 0 years

V = m(0) +c  = $130800.00

c = $130800.00

For, t = 20 years

V = 20m + c = $19800.00

Putting value of c in above equation, we get :

20m +  $130800.00 = $19800.00

m = (19800.00-130800.00 )÷20

m = -5550

Putting value of m and c in equation 1, we get :

V = -5550t + 130800

Hence, this is the required solution.

The complete question is;

A popular band is trying to raise at least $20,000 for charity by holding multiple concerts at a park. It plans to sell tickets at $25 each. For each 2-hour concert, the band would need to pay the park $1,250 in fees for security, cleaning, and traffic services.

The band needs to find the combinations of number of tickets sold, t, and number of concerts held, c, that would allow it to reach its fundraising goal.

Write an inequality to represent the constraints in this situation.

Answer:

(25t)c - 1250 ≥ $20,000

Step-by-step explanation:

We are told the band is trying to raise at least $20,000.

It's trying to sell tickets at $25 each.

We are told that they pay the park $1,250 in fees for security, cleaning, and traffic services.

Now, expenses for each concert is $1,250.

Now, we are told that the number of tickets sold is t, and number of concerts held, c.

Thus, total amount that can be realized for "c" number of concerts is;

A = (25t)c

Now, expenses for each concert is $1,250.

Thus, total profit for "c" number of concerts is;

P = (25t)c - 1250

Now, they are trying to raise at least $20,000. Meaning greater than or equal to $20,000.

Thus, the profit must be greater than or equal to $20,000.

Thus, the inequality is;

(25t)c - 1250 ≥ $20,000

Answer:

830.53 in²

Step-by-step explanation:

To find the area of one semicircle, find the area of the full circle and divide it by 2:

Use the circle area formula, A = [tex]\pi[/tex]r²

Plug in 3.14 as pi, and plug in the radius:

A = [tex]\pi[/tex]r²

A = 3.14(23²)

A = 1661.06

Divide this by 2:

1661.06 / 2

= 830.53

So, the area of one semicircle is 830.53 in²

Answer:

850.53 in² is the answer

For your first answer 2=x+5/17 your second answer is 29. This is because "x" is the number that you need to bake which is 29. Therefore, 31/17=2

Answer:

3n + 3

Step-by-step explanation:

Mia is correct

When n= 1 ,  3n + 3 = 3*1 + 3 = 3 + 3 = 6

When n =2, 3n + 3 = 3*2 + 3 = 6 + 3 = 9

When n = 3 , 3n +3 = 3*3 + 3 = 9 + 3 = 12

When n = 4, 3n + 3 = 3*4 + 3 = 12 +3 = 15

Answer:

99%

Step-by-step explanation:

The percentage increase of the given item is 55.56%.

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.

The price of an item has increased to $279 today yesterday it was $180

The percentage increase can be calculated by:

(Current price - Original price) / Original price x 100 = Percentage increase

As per the question, we have to substitute the values to get:

⇒ (279 - 180) / 180 x 100 = 55.56%

Therefore the percentage increase is 55.56%.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ2

Answer:

9

Step-by-step explanation:

The measure of DE is 9 units. Therefore, option D is the correct answer.

Given that, points C, D, and E are collinear, CD = 18 and CE = 27.

Collinear points are the points that lie on the same straight line or in a single line.

Now, points C, D, and E are collinear.

CE = CD+DE

⇒ 27 = 18 + DE

⇒ DE = 27-18

⇒ DE = 9

The measure of DE is 9 units. Therefore, option D is the correct answer.

To learn more about the collinear points visit:

https://brainly.com/question/1593959.

#SPJ5

The answer is 400

First, you must flip the equation.

[tex]120000[/tex] ÷ [tex]300[/tex] = ?

Then, you must simplify the equation.

[tex]1200[/tex] ÷ [tex]3[/tex] = ?

Finally, divide the two terms.

[tex]1200[/tex] ÷ [tex]3[/tex] = 400

Answer:

{(-4,-3), (0, -3,) (1, -3), and (4,-3)}

Step-by-step explanation:

There can only be one y- output for each x-input. Every other answer is a relation because there are multiple y-values for an x-value.

Answer:

The second one.

Step-by-step explanation:

A function can have two of the same inputs, but not two of the same outputs.

In the first one, the output 2 is found more than once.

In the third one, the output -3, is also found more than once.

The second one has completely unique numbers for both the input and output.

Answer:

[tex]V'(8)=192\text{ cm}^2[/tex]

Step-by-step explanation:

We have the volume of a cylinder:

[tex]V=s^3[/tex]

To find the rate of change of the volume with respect to s, we will take the derivative of both sides with respect to s. So:

[tex]\frac{d}{ds}[V]=\frac{d}{ds}[s^3][/tex]

Differentiate. Use the power rule:

[tex]V'(s)=3s^2[/tex]

So, to find the rate of change of the volume when s is 8 centimeters, substitute 8 for s:

[tex]V'(8)=3(8)^2[/tex]

Evaluate:

[tex]V'(8)=192\text{ cm}^2[/tex]

Answer:

95m

Step-by-step explanation:

So to work this out you times 84 by 2 which is 168 (84×2) and then take away 168 from 358 which is 190 (358-168). Then divide 190 by 2 which is 95 (which is the the length/Answer)

(84+84+95+95=358)

Answer: m = -1

The slope is -1

Plz mark brainliest:)

See attachment for math work and answer.

Answer:

1 foot?

Step-by-step explanation:

You subtract 13 from 12 to get the base divider.

Answer:

B

Step-by-step explanation:

The metric system uses one unit for each category of measurement.

Answer:

127 degrees

Step-by-step explanation:

Answer:

The answer is b your welcome

Answer:

what>???????????????????/

Step-by-step explanation:

Answer:

9x+4=24+x; x=2.5

Step-by-step explanation: