Which of the following pairs of inequalities are equivalent

x-5> 4 and 2x-10 >8

x- 5 >4 and 2x +10 >8

x+5 >4 and 2x+10 <8

ALL​

Answers

Answer 1

Answer:

(a): [tex]x-5> 4[/tex] and [tex]2x-10 >8[/tex]

Step-by-step explanation:

Given

Pairs of inequalities

Required

Select which is equivalent

(a): [tex]x-5> 4[/tex] and [tex]2x-10 >8[/tex]

Multiply both sides of [tex]x-5> 4[/tex] by 2

[tex]2 * (x - 5) > 4 *2[/tex]

[tex]2 * x - 2*5 > 4 *2[/tex]

[tex]2x - 10 > 8[/tex]

Hence: [tex]x-5> 4[/tex] is equivalent to [tex]2x - 10 > 8[/tex]

(b): [tex]x-5> 4[/tex] and [tex]2x+10 >8[/tex]

Multiply both sides of [tex]x-5> 4[/tex] by 2

[tex]2 * (x - 5) > 4 *2[/tex]

[tex]2 * x - 2*5 > 4 *2[/tex]

[tex]2x - 10 > 8[/tex]

Hence: [tex]x-5> 4[/tex] is not equivalent to [tex]2x+10 <8[/tex]

(c): [tex]x+5> 4[/tex] and [tex]2x+10 <8[/tex]

Multiply both sides of [tex]x+5> 4[/tex] by 2

[tex]2 * (x + 5) > 4 *2[/tex]

[tex]2 * x + 2*5 > 4 *2[/tex]

[tex]2x + 10 > 8[/tex]

Hence: [tex]x+5> 4[/tex] is not equivalent to [tex]2x+10 <8[/tex]


Related Questions

if I buy 54 packs of cookies and 15 cookies are in each pack how many cookies do I have all together?!!?!?!

Answers

Answer:

810

Step-by-step explanation:

54x15=810.

hope this helps

Step-by-step explanation:

54 x 15 = 810

all you have to multiply

Is AABC= ADEF? If so, name the postulate that applies.

Answers

Answer:

B. congruent - SAS

Step-by-step explanation:

IT IS CONGRUENT BY SAS AXIOM.

HOPE IT HELPS :)

Select ALL that apply.​

Answers

Answer:

your picture is not loading for me

The slope is -4 so A, B, D is not the answer
The answer is C and E

Round 2,389 to the nearest hundred

Answers

Answer:

2,400

Step-by-step explanation:

2,389 rounded to the nearest hundred is 2,400

A car travels at a speed of 55 kilometers per hour.Find the distance travelled by the car in 12 minutes and 30 seconds.Find the Answers in meters​

Answers

Answer:

Step-by-step explanation:

(distance) d = (speed) s * t (time)

                    = 55km/h * 12.30m/s

                    = 11.275 km

                    = 11.275 * 1000

                    = 11275m

OMG WILL SOMEONE PLEASE HELP I NEED THIS!!!!!!!!!!! I WILL GIVE A LOAD OF POINTS!!! The price for X pounds of almonds at the Snack Shack is represented by y = 6.5x. Which store sell almonds at a lower unit rate cost? How much lower?

Answers

c

Step-by-step explanation:

because th x value of 9 will determine rhe shape of s

HELLLLPPPPPPPP☝️☝️☝️☝️☝️!!!!

Answers

money collected independent
tickets sold dependent

The perimeter of a square can be expressed by the function f(s) = 4s, where s is the length of the side in inches.

How do the mathematical domain and reasonable domain compare?

Answers

Answer:

Mathematical domain is all numbers, as all numbers can be multiplied by 4. However, this is not reasonable as negative lengths don't exist, so the reasonable domain would be all positive numbers.

A 4-pound bag of carrots costs $2.48. What is the unit price? *

Answers

Answer:

0.62 cents per pound

Step-by-step explanation:

2.48/4

to find price per pound which is the unit price

2.48/4=0.62

brainliest appreciated

best buys sells laptops for $422. If the sales tax is 5.5% what is the sales tax of the laptop?

**Write the decimal (this is money, so to the hundredths place

Answers

Answer:

$445.21

Step-by-step explanation:

Multiply 422 by .55. Add the answer of 422 times .55 to 422.

PLEASE HELP MEE I NEED TO TURN THIS IN SOON

Answers

Answer:

7x=7

Step-by-step explanation:



Can someone help me with this trigonometry question

Answers

Answer:  82 degrees

==================================================

Explanation:

Apply the law of cosines to find angle C

c^2 = a^2 + b^2 - 2*a*b*cos(C)

19^2 = 11^2 + 17^2 - 2*11*17*cos(C)

361 = 121 + 289 - 374*cos(C)

361 = 410 - 374*cos(C)

361 - 410 = -374*cos(C)

-49  = -374*cos(C)

-374*cos(C) = -49

cos(C) = (-49)/(-374)

cos(C) = 0.131016042780749  ..... which is approximate

C = arccos(0.131016042780749)

C = 82.4716905247836

C = 82 degrees

Notes:

arccos is shorthand for "arccosine". It is the same as inverse sine.Make sure your calculator is in degree mode. You can check by computing cos(60) and you should get 0.5

These three points are collinear. (3, 6), (-2, -9), (0, -4)
True False

Answers

Answer:

False

Step-by-step explanation:

to determine if the points are collinear, determine the rate of change(slope) between (-2, -9) and (0, -4) and then the rate of change between (0, -4) and (3,6) and rate of change between (-2, -9) and (3, 6). if the rates are equivalent then the points are all collinear

between (-2, -9) and (0, -4):

m=(y2-y1)/(x2-x1)

  =(-4-(-9))/(0-(-2))

  =5/2

between (0, -4) and (3,6):

m=(y2-y1)/(x2-x1)

  =(6-(-4))/(3-0)

=10/3

because 5/2 does not equal 10/3 the rates of change are not equal and the points are not collinear, do not need to consider slope between (-2, -9) and (3, 6)

what is 15^4/15 simplified?

Answers

Answer:

15^3

Step-by-step explanation:

Since 15^4 means 15 x 15 x 15 x 15, therefore, just subtract the power 4 from one because you are dividing it by 15:

15^4 / 15 = 15^3

Which systems of equations intersect at point A in this graph?

Answers

Answer:

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Thus, the second option is correct.

Step-by-step explanation:

Given the point

A (-2, 1)

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Arrange equation variable for elimination

[tex]\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}[/tex]

so

[tex]y+3x=-5[/tex]

[tex]-[/tex]

[tex]\underline{y-4x=9}[/tex]

[tex]7x=-14[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}[/tex]

Solve 7x = -14 for x

[tex]7x=-14[/tex]

Divide both sides by 7

[tex]\frac{7x}{7}=\frac{-14}{7}[/tex]

Simplify

[tex]x = -2[/tex]

For y - 4x = 9 plug in x = 2

[tex]y-4\left(-2\right)=9[/tex]

[tex]y+4\cdot \:2=9[/tex]

[tex]y+8=9[/tex]

Subtract 8 from both sides

[tex]y+8-8=9-8[/tex]

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Thus, the second option is correct.


21 2
—- divide ——
6 3

Answers

Answer:

3.3507/ 3.35 (round off)

Step-by-step explanation:

Hope it helps :)

A spinner with the numbers 1 through 8 is spun 25 times. What is the experimental probability of the spinner stopping on the number 4?

Answers

Answer: Because if you think about it it would be 4 because of the fact that it is in the middle of 1-8. So there is a higher chance to land on 4 than any other number.

Step-by-step explanation:

The experimental probability of the spinner stopping on the number 4 is 1/25.

What is experimental probability?

Experimental probability is a probability that is determined on the basis of a series of experiments.

A random experiment is done and is repeated many times to determine their likelihood and each repetition is known as a trial.

Given that, a spinner with the numbers 1 through 8 is spun 25 times.

we need to find the experimental probability of the spinner stopping on the number 4

So,

Experimental Probability =

P(E) = Number of times an event occurs / Total number of trials.

Number of times an event occurs = 1

Total number of trials = 25

Therefore,

P(E) = 1/25

Hence, the  experimental probability of the spinner stopping on the number 4 is 1/25.

Learn more about experimental probability click;

https://brainly.com/question/30694293

#SPJ3

10 mi
6 mi
b
What is the length of the missing leg?
b
miles

Answers

Answer:

The length of the missing leg:

b = 8 miles

Step-by-step explanation:

Given

c = 10 mia = 6 mi

To determine:

The length of the leg b = ?

For a right-angled triangle, with sides a and b the hypotenuse c is defined as:

[tex]c=\sqrt{a^2+b^2}[/tex]

We can find the length of the leg b using the formula

[tex]b=\sqrt{c^2-a^2}[/tex]

substituting c = 10 and b = 6 in the formula

[tex]b=\sqrt{10^2-6^2}[/tex]

[tex]b=\sqrt{100-36}[/tex]

[tex]b=\sqrt{64}[/tex]

[tex]b=\sqrt{8^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]

[tex]b=8[/tex] mi

Therefore, the length of the missing leg:

b = 8 miles

Please help 30 points
A recursive definition of an arithmetic sequence is shown below.
a = 7
an = an-1 + 3
Which of the following expressions represents the nth term of this sequence?
A. Ont3
B.
3n + 4
C.O3n +7
D.O7n +3

Answers

S.76,20 hope this helps

Susan has just earned her allowance of $10.00. She puts $5.00 in her savings account
at the bank. With the rest of the money, Susan spends $1.75 on candy and buys a toy
for her baby brother for $2.50. How much money does Susan have left?

Answers

Answer:

Susan should have 75¢ left.

Step-by-step explanation:

Taking away $5.00 from $10.00 makes $5.00. 5.00-2.50=2.50 and 2.50-1.75=.75

PLEASE HELP ME!!! I need the answer quick please if you can!

Answers

Answer:

angle 1 is 145°

Step-by-step explanation:

this is because à horizontal line is always 180° so you jus have to subtract 35 from 180

Please help me! Please and thank you!

Answers

Answer:

4m+0.50

Step-by-step explanation:

help pls hurry
find the volume

Answers

Step-by-step explanation:

hope it helps you

here is ur answer

A rotating lawn sprinkler sprays water in a circular area of grass as shown in the picture. The diameter of the circular area of grass is 6 feet. How many square feet of water will the sprinkler spray?

Answers

Answer:

[tex]9\pi \: \mathrm{ft^2\:or}\: 28.27 \mathrm{\: ft^2}[/tex]

Step-by-step explanation:

The area of a circle is given by [tex]r^2\pi[/tex] where [tex]r[/tex] is the radius of the circle. The diameter is given as [tex]6[/tex] feet, so the radius of this circle is [tex]\frac{6}{2}=3[/tex] feet.

Plugging in our values, we get:

[tex]3^2\pi=9\pi\approx28.27[/tex].

Question 7(Multiple Choice Worth 5 points)
(04.07A LC)
Which equation does the graph below represent?
15
12
9
6
3
2 3 4 5
-5 -4 -3 -2 -1 01
31
-6
.9
-12
-15
y =
y = -3x
y = 3x
y = x

Answers

Answer:

[tex]y = -3x[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Determine the graph equation

To do this, we pick any 3 corresponding points of x and y

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (2,-6)[/tex]

[tex](x_3,y_3) = (-4,12)[/tex]

The equation can then be solved using linear interpolation as follows:

[tex]\frac{y-y_3}{x-x_3} = \frac{y_2 - y_1}{x_2-x_1}[/tex]

This gives:

[tex]\frac{y-12}{x-(-4)} = \frac{-6 -0}{2-0}[/tex]

[tex]\frac{y-12}{x+4} = \frac{-6 -0}{2-0}[/tex]

[tex]\frac{y-12}{x+4} = \frac{-6}{2}[/tex]

[tex]\frac{y-12}{x+4} = -3[/tex]

Multiply both sides by x + 4

[tex](x + 4) * \frac{y-12}{x+4} = -3 * (x + 4)[/tex]

[tex]y - 12 = -3 *(x + 4)[/tex]

Open bracket

[tex]y - 12 = -3x -12[/tex]

Add 12 to both sides

[tex]y - 12+12 = -3x -12+12[/tex]

[tex]y = -3x[/tex]

How many groups of 1/4 are in 3?”

Answers

Answer: 12

Step-by-step explanation:

there are 12 because

1/4 = 0.25
2/4 = 0.50
3/4 = 0.75
4/4 = 1.00

If you do this three times, It will have an end result of twelve

hope this helps!!

1/3 divided by 4
2/5 divided by 4
4/7 divided by 4
2/5 divided by 3
5/6 divided by 5
5/8 divided by 10

Answers

1. 1/3 divided by 4 is 0.0833
2. 2/5 divided by 4 is 0.1
3. 4/7 divided by 4 is 0.1428
4. 2/5 divided by 3 is 0.1333
5. 5/6 divided by 5 is 0.1666
6. 5/8 divided by 10 is 0.0625

Answer:

1. 0.0833

2. 0.1

3.  0.1428

4.  0.1333

5. 0.1666

6.  0.0625

Hailstones form when strong winds support ice particles high in clouds. We can assume that the diameter of a hailstone varies directly with the time the hailstone takes to form. A hailstone with a diameter of 0.75 inches takes about 12 minutes to form. Write an equation that gives the hailstone’s diameter d after t minutes. Then find the diameter of a hailstone that takes 20 minutes to form.

Answers

Answer:

the equation y= ax represents direct variation between x and y is said to vary directly with x. the nonzero constant a is called the constant of variation.

Step-by-step explanation:

I'm not sure if that's what you were asking for but there .

brainiest please.

Katharine has a bag containing 20 dried beans. Eight of the beans are painted blue. If Katharine selects a bean from the bag at random, what is the probability that she will draw a bean that is NOT blue? Al out of 3 B 2 out of 5 C 3 out of 5 D 2 out of 3

Answers

Given:

Total number of beans = 20

Number of blue of beans = 8

One bean is selected from the bag at random.

To find:

The probability that she will draw a bean that is NOT blue.

Solution:

We have,

Total number of beans = 20

Number of blue of beans = 8

Number of non-blue beans = 20 - 8

                                              = 12

Now, the probability that she will draw a bean that is NOT blue is

[tex]P(\text{Bean is not blue})=\dfrac{\text{Number of non-blue beans}}{\text{Total number of beans}}[/tex]

[tex]P(\text{Bean is not blue})=\dfrac{12}{20}[/tex]

[tex]P(\text{Bean is not blue})=\dfrac{3}{5}[/tex]

Therefore, the correct option is C.

4. An annual pass covering emtrance fees to more than
2,000 national parks costs $80. If the total income from
the annual passes is $12,800 in one month, which equation
can you use to find the number of passes purchased that month?
F. 12,800p = 80
H. 80p = 12,800
G. 12,800 – p = 80
J. 80 + p = 12,800

Answers

Answer:

Search it up

Step-by-step explanation:

Someone already answered it on brainly

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