Solve the inequality for x. Be sure to show all work to receive full credit.

−3x + 5 ≤ −16

Answers

Answer 1

Answer:

x ≥ 7

Step-by-step explanation:

First, put the same terms on the same side. So subtract 5 from both sides. You will get:

-3x ≤ -21

Divide both sides by -3 to get x alone. When dividing, the inequality sign will change to the opposite. So it will go from a (less than or equal to) sign to a (greater than or equal to) sign.

You will get:

x ≥ 7

Therefore, x will be a number that is greater than or equal to 7.


Related Questions

The positive integers P, Q, R, S and T increase in
order of size such that the value of each
successive integer is more than the
preceding integer and the value of T is 6. The
value of S is :​

Answers

Enjdsndndjsnxndmndncmsndnsnnxmc

Omg Plzzzzz helpppp!!!!!

Answers

Answer:

D

Step-by-step explanation:

[tex]-5+2(7b+6)\geq 10b+7(1+11b)\\-5+14b+12\geq 10b+7+77b\\70b\leq 0\\b\leq 0[/tex]

A die is rolled two times.

​What is the probability of getting a 2 ​on the first roll and a 5 on the second roll?

Answers

Answer:

1/36

Step-by-step explanation:

total are 36 and it's 1

25 divided 5 + 7 - [ 4 x 3 ] =

Answers

the answer is 0, hope it helps lol

my REAL FINAL LAST 100 points, pls do me well this time... show work pls :(

Answers

Im not sure how to explain how to do a graph, but I hope this helps at least a bit!

~Direct Variation When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. In simpler terms, that means if A is always twice as much as B, then they directly vary. If a gallon of milk costs $3, and I buy 1 gallon, the total cost is $3.~

Gina wants to go to the water park with her friends. They have a total of w dollars to buy 5 tickets. Each
ticket costs 15 dollars.
Select the equation that matches this situation.
Ow= 15 + 5
O 5 = 15w
O w = 5(15)
15 = 5w

Answers

Answer:W=5x15

HTH

Step-by-step explanation:

A bottle contains 24.5 oz of water. A leak in the bottle causes it to lose 0.3 oz of water every minute. How many minutes does it take for the bottle to lose 33% of the water.

Answers

Answer:

27 minutes

Step-by-step explanation:

33% of 24.5 is 8.1 ounces

.3 oz / 1 min = 8.1 oz / 'x' min

cross-multiply:

.3x = 8.1

x = 8.1 / .3

x = 27

Pls help me I need it now pls

Answers

I think it’s H. rotated 90° clockwise

wich of the statement below is true for the foolowing set of numbers 24,20,36,51,60,28?

Answers

20,24,28,36,51,60 us the correct statement

which properties justify the steps taken to solve the system 4x + 3y =25 2x + 5y=19 ​

Answers

Answer: we multiply the second equation by -2. This property is the multiplication property of equality (1).  

Then, we add the two equations generated. (2) addition property of inequality.

Next, we divide both sides of the equation by 13. That is division property of inequality.  

Moreover, we substitute the value obtained for y in the first equation. This is substitution property of equality.  

Then, we simplify

Next, we add +3 to both sides of the equation in order to have an equation with only one side having a variable. That is addition property of equality.  

Lastly, we divide both sides of the equation by 4. This is division property of equality.

Step-by-step explanation:

Help due soon plz helpp

Answers

Answer: 7) -12;

               8) 0 или 1.

Step-by-step explanation:

7.

x ≤ - 12

x ∈ ( - ∞; - 12]

Наибольшее целое значение, при котором верно неравенство равно -12.

8.

-9,6*8 > - 9,627

Варианты возможных чисел: -9,618 и -9,608.

Значит вместо звездочки можно подставить цифры 0 или 1.

HELP ASAPPP PLSSS WILL GIVE BRAINLIEST!

Answers

Answer:

Example 1 35 example 2 is 320 and example 3 is 56 example 4 is 160

Step-by-step explanation:

Answer:

again sorry I do not know but I think it d because it not the same as the rest.

please help what is this help

Answers

24,5:10,5=2,33
I think this
The person on the top is correct......

What is the total area? Use 3 for Pi.
answer fast pls! xx

Answers

Answer:

146.3m²

Step-by-step explanation:

area of quarter circle=1/4π×8²

=50.3m²

area of the square=s²

8×8=64m²

area of the triangle=1/2bh

1/2×8×8=32m²

total area=50.3+64+32=146.3m²

I need help with this if you get it right I will mark you

Answers

Answer is 12
70+50+x+4x=180
120+5x=180
5x=60
X=12

4-(-5)
Integer Rules

Answers

Step-by-step explanation:

4-(-5)

= 4+5

= 9

............

I need help to find the range

Answers

the range is the y values
so [-5,4]

Answer:

algebraic terms = 4- -4 = 8

Step-by-step explanation:

-4 is our lowest value as 5 is not equal or counted

4 is our highest value and is counted.

Which statement is NOT true of the equation y = 0.5x?

a. The value of y is one-half times the value of x.
b. The equation represents an additive relationship.
c. The value of y is 4 when the value of x is 8.
d. The equation represents a multiplicative relationship.

Answers

Answer:

it would be C do to the fact that 0.5 x 8=4

-2(-5y + 10) simplify the expression

Answers

Answer:

10y - 20

Step-by-step explanation:

what is the slope of the line passing through the points (2,5) and (-1,-4)? show all work.

Answers

Answer:

3

Step-by-step explanation:

[tex]\frac{y_{1} - y_{2}}{x_{1} - x_{2}} = \frac{9}{3} = 3[/tex]

i need help solving h=-5-(-7)

Answers

Answer:2

just make them into positive if there’s 2 negatives 7-5=2

Answer:

h=-5(-7)

We move all terms to the left:

h-(-5(-7))=0

We add all the numbers together, and all the variables

h-35=0

We move all terms containing h to the left, all other terms to the right

h=35

God bless you and have a wonderful day!

A poker deck consists of fifty-two cards, representing thirteen denominations (2 through ace) and four suits (diamonds, hearts, clubs, and spades). A five-card hand is called a flush if all five cards are in the same suit but not all five denominations are consecutive. Pictured below is a flush in hearts. Let N be the set of five cards in hearts that are not flushes. How many outcomes are in N

Answers

Answer:

10

Step-by-step explanation:

Let N represent the set of 5 hearts cards that are not flushes

From the image attached below; there are thirteen (13) denominations on deck

i.e.  (A,K,Q,J,10,9,8,7,6,5,4,3,2) in the deck

Let us take an integral look at the set of cards that contains consecutive dominations in hearts. Relating them from the lowest denomination to the highest denomination. Also, for hand to be in a straight all cards, they must be in consecutive order.

So, starting from the lowest straight A-2-3-4-5 to the highest straight, we would have a royal flush 10, J, Q, K, A

[tex]N = \left \{ {{(A,2,3,4,5,),(2,3,4,5,6),(3,4,5,6,7),(4,5,6,7,8)(5,6,7,8,9)} \atop {(6,7,8,9,10),(7,8,9,10,J),(8,9,10,J,K),(9,10,J,K,L),(10,J,Q,K,A)}} \right. \}[/tex]

Hence, the total no of outcome for N = 10

Which quadratic rule represents the data in the table?
y= -2x2 + 5
y= -x2 + 5
y = x2 - 5
y = x2 + 5

Answers

Answer:

x^2 - 5

Step-by-step explanation:

x = -1, y = 1 - 5 = -4.

x = 0, y = 0-5 = -5.

x = 1, y = 1 - 5 = -4.

Which ordered pairs show the location of the Empire State Building? Check all that apply. (1 and one-half, 1) (1, 1 and one-half) (–1.5, –1.0) (1.5, 1.0) (1.0, 1.0) nevermind

Answers

I know you said never mind but the answer is a and d if it's wrong im sorry but i got it right on mine

Answer: a & d

Step-by-step explanation:

What is the value of X?
100°
60°
X
A.60
B.20
C.100
D.40

Answers

20

Step-by-step explanation:

X+100+60=180(due to stright angle) =X+160=180 =X=180-160 =X=20

A bag of apples weighs 7kg, correct to
the nearest kilogram.
What is the least possible weight of the
bag of apples?

Answers

i’m pretty sure it’s 6.5kg because if it was any less than that (eg 6.4kg) it would be rounded down to six rather than being rounded up to seven

An experiment on the teaching of reading compares two methods, A and B. The response variable is the Degree of Reading Power (DRP) score. The experimenter uses Method A in a class of 100 students and Method B in a comparable class of 100 students. Students are assigned to the two classes at random. Suppose that in the population of all children of this age the DRP score has the N(75, 30) distribution if Method A is used and the N(74, 40) distribution if Method B is used. Let us call the mean DRP score for 100 students in the A group. Let us call the mean DRP score for 100 students in the B group ý.

Required:
What is the probability that the mean score for the B group will be at least five points higher than the mean score for the A group?

Answers

Answer:

0% probability that the mean score for the B group will be at least five points higher than the mean score for the A group

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution, the central limit theorem, and subtraction of normal variables:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal variables:

When we subtract two normal variables, the mean is the subtraction of the mean of each variable, while the standard deviation is the square root of the sum of each variance.

Method A:

One student: N(75,30), so [tex]\mu = 75, \sigma = 30[/tex]

Samples of 100 students: [tex]n = 100, s = \frac{30}{\sqrt{100}} = 0.3[/tex]

Method B:

One student: N(74,40), so [tex]\mu = 74, \sigma = 40[/tex]

Samples of 100 students: [tex]n = 100, s = \frac{40}{\sqrt{100}} = 0.4[/tex]

What is the probability that the mean score for the B group will be at least five points higher than the mean score for the A group?

This is the probability that B - A >= 5. So

[tex]\mu_{B-A} = \mu_B - \mu_A = 74 - 75 = -1[/tex]

[tex]s_{B-A} = \sqrt{s_A^{2}+S_B^{2}} = \sqrt{(0.3)^2+(0.4)^2} = 0.5[/tex]

We have to find 1 subtracted by the pvalue of Z when X = 5. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{5 - (-1)}{0.5}[/tex]

[tex]Z = 12[/tex]

[tex]Z = 12[/tex] has a pvalue of 1

1 - 1 = 0, so

0% probability that the mean score for the B group will be at least five points higher than the mean score for the A group

(4a^5-a)+(a^5+6a-1)
Add

Answers

Answer:

Step-by-step explanation:

4a^5 - a + a^5 + 6a - 1

5a^5 + 5a - 1

How many minutes in 255 seconds A)2 11/12 B)3 5/12 C)3 3/4 D) 4 1/4

Answers

Answer:

4 1/4

Step-by-step explanation:

divide 255 by 60

41 /4 minutes jvavkala

what is 1 + 3s > 7 sadhfashdfajdfadfa

Answers

Answer:

4??????????????

Step-by-step explanation:

&÷&$^#£#*$,$

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