Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution set of this problem?
x less-than negative 5
x greater-than negative 5
x greater-than negative 1
x less-than negative 1

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Let the number = x

2/5 (x - 1)

<

3/5 (x + 1)

2/5 (x - 1 ) < 3/5(x+ 1)      Multiply both sides  by 5

2(x - 1) < 3 ( x + 1)            Remove the brackets.

2x - 2 < 3x + 3                Add 2 to both sides

2x < 3x + 5                     Subtract 3x from both sides

2x - 3x < 5              

- x < 5                            Here's the tricky part . Divide by - 1

x > -5                             Notice what happened. The < become > That happens because you have divided (or multiplied) by a negative number.

The original question 2/5 (x - 1 ) < 3/5(x+ 1)    was graphed. The red part is every value that satisfies the inequality. You should be using a y and x together to find a more suitable answer using this program. But if you just look along the x axis, you will see that the < has been turned around.

B The second one from the top.

Two-fifths Of One Less Than A Number Is Less Than Three-fifths Of One More Than That Number. What Numbers

Related Questions

VIVIAN: My friend Sharon told me today that she will be driving back to Victorville, her hometown, this weekend for the first time in almost two years. NATALIE: You must not have been listening very carefully to what Sharon was saying, because I know for sure that Sharon's hometown is Vacaville, not Victorville.

Is dispute C a verbal dispute or a factual dispute?
a. Factual
b. Verbal

Answers

Answer:

The answer is "Option a".

Step-by-step explanation:

Dispute C comes under factual dispute because the words Vacaville or Victorville are two different places and they are arguing about the fact that's why option a is correct.

The equation of the line passing through (2, 3) with a slope of 5 is y = [] x - []
what are the answers to []​

Answers

Answer:

y = 5x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 5, then

y = 5x + c ← is the partial equation

To find c substitute (2, 3) into the partial equation

3 = 10 + c ⇒ c = 3 - 10 = - 7

y = 5x - 7 ← equation of line

Find the degree measures of the next two positive and the previous two negative angles that are coterminal with the angle 75°.
The angles are:

Answers

9514 1404 393

Answer:

435°, 795°-285°, -645°

Step-by-step explanation:

Add or subtract multiples of 360° to find coterminal angles.

Positive

  75° +360° = 435°

  75° +2×360° = 795°

Negative

  75° -360° = -285°

  75° -2×360° = -645°

Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 8.1 minutes and a standard deviation of 2.0 minutes. For a randomly received emergency call, find the following probabilities.

a. between 5 and 10 min
b. less than 5 min
c. more than 10 min

Answers

Answer:

a) 0.7683 = 76.83% probability that a randomly selected emergency call is between 5 and 10 minutes.

b) 0.0606 = 6.06% probability that a randomly received emergency call is of less than 5 min.

c) 0.1711 = 17.11% probability that a randomly received emergency call is of more than 10 min.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 8.1 minutes and a standard deviation of 2.0 minutes.

This means that [tex]\mu = 8.1, \sigma = 2[/tex]

a. between 5 and 10 min

This is the p-value of Z when X = 10 subtracted by the p-value of Z when X = 5.

X = 10

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{10 - 8.1}{2}[/tex]

[tex]Z = 0.95[/tex]

[tex]Z = 0.95[/tex] has a p-value of 0.8289

X = 5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5 - 8.1}{2}[/tex]

[tex]Z = -1.55[/tex]

[tex]Z = -1.55[/tex] has a p-value of  0.0606

0.8289 - 0.0606 = 0.7683

0.7683 = 76.83% probability that a randomly selected emergency call is between 5 and 10 minutes.

b. less than 5 min

p-value of Z when X = 5, which, found from item a, is of 0.0606

0.0606 = 6.06% probability that a randomly received emergency call is of less than 5 min.

c. more than 10 min

1 subtracted by the p-value of Z when X = 10, which, from item a, is of 0.8289

1 - 0.8289 = 0.1711

0.1711 = 17.11% probability that a randomly received emergency call is of more than 10 min.

What is the volume of a sphere with a radius of 20 m? 10,666.67π m3 6,000π m3 85,333.33π m3 533.33π m3

Answers

Answer:10,666,66 [tex]\pi[/tex]m^3

Step-by-step explanation:

V=[tex]\frac{4}{3} \pi r^{3}[/tex]

[tex]\frac{4}{3} \pi 20^{3} \\ V=10,666.66 \pi[/tex]

Solve the Inequality: [tex]\frac{b}{3} \geq -1[/tex]

Answers

[tex] \frac{b}{3} \geq - 1 \\ = 3 \times \frac{b}{3} \geq \times ( -1 ) \\ = b \geq3 \times ( - 1) \\ = b \geq - 3 \times 1 \\ \\ = b \geq - 3[/tex]

Step By Step Explanation:

Multiply both sides of the inequality by 3Reduce the numbers with the greatest common factor 3Multiplying a positive and a negative equals a negative Any expression multiplied by 1 remains the same

☆彡Hanna

#CarryOnLearning

Polygon ABCD is a rectangle. What is its area? Round your answer to the
nearest tenth.
(2,4)
(4,1)
(-4,0)
4
(-2, -3)

Answers

9514 1404 393

Answer:

  26 square units

Step-by-step explanation:

Counting grid squares on the graph, we see that segment AB is the hypotenuse of a right triangle with legs 2 and 3. Its length is ...

  AB = √(2²+3²) = √13

We can also see that the adjacent longer sides are twice this length, each being the hypotenuse of a triangle that is 6 wide and 4 high.

  AC = √(6² +4²) = √52 = 2√13

Then the area is ...

  A = LW

  A = (2√13)(√13) = 2·13 = 26 . . . square units

The manufacturer claims the mean bursting pressure for a certain type and size of PVC irrigation pipe to be at least 350 psi. A sample of 10 such pipes were experimentally determined to have the following bursting pressures: 401 359 383 427 414 415 389 463 394 428 State the null and alternative hypotheses:

Answers

Answer:

H0 : μ ≥ 350

H1 : μ < 350

Step-by-step explanation:

It is claimed that the mean is atleast 350 psi ;

10 such pipes were experimentally sampled ;

Here, the null hypothesis is the claim ; this means that the alternative hypothesis will be the opposite of the claim.

The hypothesis

H0 : μ ≥ 350

H1 : μ < 350


HW HELP ASAP PLZZZZZ

Answers

Answer:

last step is (2x + 5)(2x + 1)

Step-by-step explanation:

4x^2 + 12x + 5

4x^2 + (10 + 2)x + 5

4x^2 + 10x + 2x + 5

2x(2x + 5) +1(2x + 5)

(2x + 5)(2x + 1)

pls I have limited time left pls help​

Answers

Answer:

2B+5C

Step-by-step explanation:

Multiply them out....

2B=2*(4i-j) = 8i-2j

5C=5*(2i+3j) = 10i+15j

2B+5C= 8i-2j+10i+15j =18i+13j = A

9514 1404 393

Answer:

  a)  2B +5C

Step-by-step explanation:

It is probably easiest to simply try the answer choices. You find the first one works, which means it is the one you want.

  2B +5C = 2(4i -j) +5(2i +3j) . . . . choice (a)

  = 8i -2j +10i +15j

  = 18i +13j = A

__

In general, you can solve for the coefficients p and q that make ...

  pB +qC = A

  p(4i -j) +q(2i +3j) = 18i +13j

  (4p+2q)i +(-p +3q)j = 18i +13j

Equating the coefficients of i and j gives us 2 equations in p and q.

  4p +2q = 18

  -p +3q = 13

Adding 2 times the second equation to 1/2 the first, we get ...

  1/2(4p +2q) +2(-p +3q) = 1/2(18) +2(13)

 7q = 35

 q = 5

Using the second equation to find p, we get ...

  p = 3q -13 = 3(5) -13 = 2

These coefficients tell us ...

  A = 2B +5C . . . . . . . matches choice (a)

√25 + √ 81 = ? Heheeh

Answers

Answer:

14

Step-by-step explanation:

sqrt(25) = 5

sqrt(81) = 9

5 + 9 = 14

Answer:

5.83095189485

Step-by-step explanation:

Its so long

What is the nearest quarter hour to 10:40

Answers

[tex]\Huge \bf \over \rightarrow\mid\mathcal {\underline{ \orange{12 \: : \: 00}}} \mid[/tex]

Answer:

I think 10:45 is the nearest quarter hour.

Find the whole using the percent proportion. 70% of what number of hay bales is
63 hay bales?

Answers

Answer:

90

Step-by-step explanation:

Let the whole number be x.

100% is to x as 70% is to 63

100/x = 70/63

10/x = 10/9

10x = 90 * 10

x = 90

Answer: 90

Step-by-step explanation:

0.7x = 63, x = 63/0.7 = 90

Jim and his dad are building a rectangular flower bed. They have a total of 35 feet of landscaping timber to use, and they want to use all of it. However, they are not sure what width and length they want the flower bed to be. In this activity, you will write a function in which the width of the flower bed, w, is the input, and the length, l, is the output. The perimeter of a rectangle is given by the equation 2l + 2w = p.If the width of the flower bed is 15 feet, what is its length? Write your answer as an evaluation of a function.

Answers

Step-by-step explanation:

the answer is in the image above

Flying against the wind a jet travels 1590 miles in 3 hours flying with the wind the same jet travels 8240 miles in 8 hours. What is the rate of the j et in still air and what is the rate of the wind?

Answers

Answer: See explanation

Step-by-step explanation:

From the information given, the following can be deduced:

Let rate of jet in still air be J

Let rate of wind be W

The formula for distance:

d = rt

Therefore, r = d/t

When, flying against the wind, then the Jet flies at a rate of J - W which will be:

= 1590mi/3hrs

= 530mph

When flying with the wind the jet will fly at a rate of J+W which will be:

= 8240mi/8hrs

= 1030 mph

Their average rate will be:

J = (530+1030)/2

= 1560/2

J = 780 mph

Since J - W = 530

Therefore, so

780 - W = 530

W = 780 - 530

W = 250 mph

The Jet in still air flies at a rate of 780 mph and the wind speed is 250 mph

What is the vertex of the quadratic function below?
(-4, 0)

There is no y-intercept

(0, -1)

(-2, 3)

Answers

Answer:

(-2, 3)

Step-by-step explanation:

calculate the surface area and show work :) please help me no links!!

Answers

Answer:

294 in.²

Step-by-step explanation:

I believe this figure is a rectangular prism.

------------------------------------------------------------------------------------

Explain:

To find the surface area of a rectangular prism, use this formula:

[tex]SA=2lw+2lh+2wh[/tex]

              or

[tex]SA=2(lw+lh+wh)[/tex]

[tex]l-length[/tex]

[tex]w-width[/tex]

[tex]h-height[/tex]

A phrase I use to help remember this formula is:

LISA WILSON LOST HER WITCH HAT TWICE (2)

------------------------------------------------------------------------------------

Solve:

The length of this rectangular prism is 9 in.

This width is 10 in.

The height is 3 in.

Now, I will plug the numbers into the first formula.

[tex]SA=(2*9*10)+(2*9*3)+(2*10*3)=294 in.^2[/tex]

------------------------------------------------------------------------------------

Conclude:

I, therefore, believe the area of this rectangular prism is 294 in.²

In the triangle below, which is equivalent to sinA?

Right triangle A B C is shown. B is the right angle and side A C is the hypotenuse.
sinC
sinB
cosA
cosC

Answers

you forgot to show the triangle

Answer:

CosC

Step-by-step explanation:

EDG

The run scored in a cricket match by 11 players is as follows: 7, 16, 121, 51,101, 81, 1, 16, 9, 11, and 16. Find the mean of this data​

Answers

The mean is 39.1


7 + 16 + 121 + 51 + 101 + 81 + 1 + 16 + 9 + 11 + 16 = 430

430/11 = 39.0909

John, Jack, and Jill have 159 marbles altogether. John has 2 more marbles than Jack, and if Jill gave 5 marbles to Jack, Jack would have the same number of marbles as Jill. How many marbles does each of them have?

Answers

Answer:

someone else tell me to thank you

Solve this asap for me

Answers

Answer:

by using middle term break method

Step-by-step explanation:

9x^2 + 12x + 4

9x^2+ (6 + 6)x + 4

9x^2 + 6x + 6x + 4

3x(3x + 2) + 2(3x + 2)

(3x + 2)(3x + 2)

(3x + 2)^2

How to find the account balance

Answers

9514 1404 393

Answer:

  $163,002

Step-by-step explanation:

If you're working problems of this sort, you have been shown formulas and examples. Use the appropriate formula with the numbers of this problem.

For the formula below, you have d=3000, r=0.045, k=4, N=11

  P = (3000)(1 -(1 +0.045/4)^(-11·4))/(0.045/4) ≈ 163,002

The account needs to hold about $163,002 to make this possible.

Which graph represents the solution set of the compound inequality -4 s 3x-1 and 2x+4 518?
-10
-5
0
10
O
+
-10
-5
0
5
10
5
-10
0
5
10
+
-10
-5
0
10

Answers

Answer:

it's the first one where X is greater or equals to -1 and X is less or equals to positive 7

The compound inequality in x : -1 ≤ x ≤ 7

The correct graph is A .

Given, inequality: -4 ≤ 3x -1 and 2x + 4 ≤ 18 .

First inequality:

-4 ≤ 3x -1

Take -2 from RHS to LHS .

-4 + 1 ≤ 3x

-3 ≤ 3x

x ≥ -1

X will have values greater than equal to -1 .

Second inequality:

2x + 4 ≤ 18

take 4 from LHS to RHS.

2x ≤ 18 - 4

2x ≤ 14

x ≤ 7

x will have values less than equals to 7.

Combined result of both inequalities: -1 ≤ x ≤ 7 .Thus graph A is correct.

Know more about inequality,

https://brainly.com/question/28823603

#SPJ3

PLEASE HELP ME PLEASE DUE IN 30 MINUTES

Answers

Answer:

x = 82.1º

Step-by-step explanation:

tan = opp/adj

tan75 = x/22

multiply both sides by 22

22 * tan75 = x

use calculator

82.1051177665153 = x

Rounded

x = 82.1º

D

Do tan75 * 22 because tan75 = x/22

Use the Law of Sines to write an expression that represents the angle measure x.

Answers

Answer:

Step-by-step explanation:

Law of sines says that the length of sides are proportional to the sine of the opposing angle.

Using the sine rule,

sin(x)/2.5 = sin(28)/3

therefore

sin(x) = 2.5 * sin(28) / 3

or

here we have

x = asin (2.5*sin(28) / 3)

so

box 1 = 2.5

box 2 = 28°

box 3 = 3

f(x) = 4x² + 3x - 2 g(x) = 6x³ - 3x²-4 Find (f +g) (x)​

Answers

Answer:

6x^3+x^2+3x-6

Step-by-step explanation:

f(x) = 4x² + 3x - 2

g(x) = 6x³ - 3x²-4

(f +g) (x)​ =4x² + 3x - 2+6x³ - 3x²-4

Combine like terms

             =6x^3+4x^2-3x^2+3x-2-4

             =6x^3+x^2+3x-6

5 > Chapter 2: Modeling with Quadratic Functions > Secti
Write an equation of the parabola in intercept form.
IN AY
х
-2.
(-1,0)
(2,0)
(1, -2)
-4
4
An equation of the parabola is y=0

Answers

Answer:

the awnser is 2,0

Step-by-step explanation:

Answer:

(1,-2) is the correct answer

sum of 15,-2 and 7 is​

Answers

Answer:

20

Step-by-step explanation:

15+(-2)+7=13+7=20

[tex]\longrightarrow{\blue{20}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]\:15 + ( - 2) + 7[/tex]

➺ [tex] \: 15 - 2 + 7[/tex]

➺ [tex] \: 22 - 2[/tex]

➺ [tex] \: 20[/tex]

Note:-

[tex]\sf\pink{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

The box plots show the weights, in pounds, of the dogs in two different animal shelters.

Weights of Dogs in Shelter A
2 box plots. The number line goes from 6 to 30. For the weights of dogs in shelter A, the whiskers range from 8 to 30, and the box ranges from 17 to 28. A line divides the box at 21. For shelter B, the whiskers range from 10 to 28, and the box ranges from 16 to 20. A line divides the box at 18.
Weights of Dogs in Shelter B

Which is true of the data in the box plots? Select three choices.
The median weight for shelter A is greater than that for shelter B.
The median weight for shelter B is greater than that for shelter A.
The data for shelter A are a symmetric data set.
The data for shelter B are a symmetric data set.
The interquartile range of shelter A is greater than the interquartile range of shelter B.

Answers

Answer:

The median weight for shelter A is greater than that for shelter B.

The data for shelter B are a symmetric data set.

The interquartile range of shelter A is greater than the interquartile range of shelter B.

Step-by-step explanation:

The median weight for shelter A is greater than that for shelter B.

The median of A = 21 and the median of B = 18  true

The median weight for shelter B is greater than that for shelter A.

The median of A = 21 and the median of B = 18   false

The data for shelter A are a symmetric data set.

False, looking at the box it is not symmetric

The data for shelter B are a symmetric data set.

true, looking at the box it is  symmetric

The interquartile range of shelter A is greater than the interquartile range of shelter B.

IQR = 28 - 17 = 11 for A

IQR for B = 20 -16 = 4  True

please help me Solve the following equations simultaneously:
solve for x and y

x+3y =6 and 2x+8y=-12​

Answers

Answer:

x+3y =6

2x+8y=-12​

The solutions to your equations are:

x= 42 and y= -12

lets check this

42+-36 =6

84+-96=-12​

Hope This Helps!!!

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