Five times the sum of number and 27 is greater than or equal to six times the sum of that number and 26. What is the
solution set of this problem?

Answers

Answer 1

Answer:

[tex] x \geq -21[/tex]

Step-by-step explanation:

Let the number be x.

Translating the word problem into an algebraic equation, we have;

[tex] 5(x + 27) \geq 6(x + 26) [/tex]

Opening the bracket, we have;

[tex] 5x + 135 \geq 6x + 156 [/tex]

Collecting like terms, we have;

[tex] 6x - 5x \geq 135 - 156 [/tex]

[tex] x \geq -21[/tex]

Answer 2

Answer:

B (-∞, -21]

Step-by-step explanation:

edge


Related Questions

I am a rectangular prism.The area of my base is 35 sq. In. My height is 14 in.what is my volume?

Answers

Here's link to the answer:

tinyurl.com/wpazsebu

A basketball player made 16 shots for a total of 38 points during a game. Some points were worth 2 points and some were worth 3 points. Write a system of equations that models this. How many 2 and 3 point shots did he make? Write your answer as a coordinate.

Answers

Answer:

4- 3s and 2- 2s

Step-by-step explanation:

3+3+2+2+3+3

look at the picture I attached​

Answers

Answer:

6

im not really sure how to explain this, using the number line go from -2 to 4, getting you to 6 spaces

Consider the endothermic reactions in the table below.
Final Temperature Conditions Heat Absorbed (cal)
Below Target Above Target
266 K 13 40
271 K 44 17
274 K 56 36
Let denote the event that a reaction's final temperature is 271 K or less. Let denote the event that the heat absorbed is above target. Determine the following probabilities.
A) P(AUB).
B) P(A'UB').
C) Use the total probability rule to determine P(A).

Answers

Answer:

0.277

0.723

0.553

Step-by-step explanation:

Given the data:

Final temp condtn__ below target __above

266K ____________ 13 __________ 40

271 K ____________ 44 __________ 17

274 K ____________ 56 _________ 36

A = final temp ≤ 271K : {44, 40, 13, 17}

Total = {13 + 40 + 44 + 17 + 56 + 36}= 206

B = heat absorbed is above target : {40, 17, 36}

P(AuB) :

AuB = {40, 17} = (40 + 17) = 57

P(AuB} = (AuB) / total = 57 /206 = 0.277

A' = {36, 56,}

B' = {13, 44, 56}

(A'uB') = {36 + 56 + 13 + 44} = 149

P(A'uB') = 149 / 206 = 0.723

P(A) = (44 + 40 + 13 + 17) / 206 = 0.553

How do I solve this

Answers

Answer:

Step-by-step explanation:

I would help but I can't see the numbers correctly so I can not help.

The answer I’m lost

Answers

Answer:

area = length × breadth

6×7 = 42 feet ²

Hi 2+2=? Lllalalalala aplalalaalallala Latakia,Lana,

Answers

2+2 is 4 dndnfnnfndnfnfnfnfnfnfnfnfnnf

Answer:

2+2= 4

Step-by-step explanation:

QUICK MATHS

Mary is three times as old as her son. In 12 years Mary will be twice as old as her son. How old is each of them now? ANSWER QUICKLY PLEASE I WILL MARK BRAINLYIST

Answers

Mary is 36 and her son is 12

m=3s

m+12=2s+24

12= -s+24

s=12


Mary=3x
son=x
3x+12=2x
3x-2x= -12
x= -12
x=12
Mary=3•12=36
son=12

A private plane traveled from Seattle to a rugged​ wilderness, at an average speed of 132 mph. On the return​ trip, the average speed was 110 mph. If the total traveling time was 6 ​hours, how far is Seattle from the​ wilderness?

Answers

Answer:

Brainliest PLEASE!

Step-by-step explanation:

a = seattle

b = wilderness

t = time traveling at 132 mph

(4-t) = time traveling at 110 mph

 

distance traveled at 132 mph = 132(t)

distance traveled at 110 mph = 110(4-t)

 

but the two distances are equal so:

 

132t = 110(4-t), solving for t

 

t = 1.82 hrs

d= 1.82 hrs * 132 m/hr = 240 miles

Students in a statistics class are conducting a survey to estimate the mean number of units students at their college are enrolled in. The students collect a random sample of 45 students. The mean of the sample is 12.1 units. The sample has a standard deviation of 1.5 units. What is the 95% confidence interval for the average number of units that students in their college are enrolled in

Answers

The 95% confidence interval for the average number of units that students in their college are enrolled in is approximately 11.66 to 12.54 units. This means that we are 95% confident that the true population mean lies within this interval.

Here,

To calculate the 95% confidence interval for the average number of units that students in their college are enrolled in, we can use the formula for a confidence interval for a population mean when the population standard deviation is unknown but can be estimated using the sample standard deviation.

The formula for the confidence interval is given by:

Confidence Interval = Sample Mean ± (Critical Value) * (Standard Error)

where:

Sample Mean (x) is the mean of the sample (12.1 units in this case).

Critical Value is the value from the t-distribution corresponding to the desired confidence level and the sample size.

For a 95% confidence level and a sample size of 45, the critical value is approximately 2.013 (you can look this up in a t-table or use a calculator).

Standard Error is the standard deviation of the sample mean, which is calculated as the sample standard deviation divided by the square root of the sample size.

Given the information in the problem:

Sample Mean (x) = 12.1 units

Sample Standard Deviation (s) = 1.5 units

Sample Size (n) = 45

Confidence Level = 95%

Critical Value ≈ 2.013

Now, let's calculate the standard error:

Standard Error = s / √n

Standard Error = 1.5 / √45 ≈ 0.2236

Now, calculate the confidence interval:

Lower bound of the confidence interval:

12.1 - (2.013 * 0.2236) ≈ 11.66

Upper bound of the confidence interval:

12.1 + (2.013 * 0.2236) ≈ 12.54

So, the 95% confidence interval for the average number of units that students in their college are enrolled in is approximately 11.66 to 12.54 units. This means that we are 95% confident that the true population mean lies within this interval.

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Help plz tyyy.... hurry!

Answers

Answer:

0%

Step-by-step explanation:

im not sure but i got the answer because the square was not have any color

Q1a. A bag contains 8 red, 10 pink, 6 purple, 5 green, and 11 blue jolly
ranchers. What is the probability of selecting a green jolly rancher,
P(green)?

Answers

Answer:p=8

Step-by-step explanation:

Add them all and divide by 5.

Irene además de 4 pantalones y 6 camisetas tiene 3 gorras cuántas indumentarias de pantalón camiseta gorra puede llevar​

Answers

Answer:

jsjJHzhhzhahahahjsjsjsj hajajsjjsjsjsjjjsjajjajsjzjzjzjsjsjsjjsjsnsjsnjsjsn

20 POINTS WILL MARK BRAINLIEST!!



Find the value of x, round your answer to the nearest tenth.

Answers

Answer:

3.67

Step-by-step explanation:

Y= 1/2x + 3
Y= 5
Can you please explain in steps?
Thank you in advance

Answers

Answer: x=4

For this equation, you are solving for x. So first you want to get the 1/2x on a side by its self to make it easier to solve. So to do that subtract both sides by 3. (2=1/2x) Once you do that multiply both sides by 2 to get rid of the 1/2 so x is on one side by itself. (4=x) And that's your answer!

Hope this helped you!

The table shows the number of blue marbles and red marbles that four friends have collected,
Blue and Red Marbles
Blue Red
Jasmine 12
10
Aaron
3
2
Lucian
10
10
Gretchen 14
2
Which person has the lowest ratio of blue to red marbles?
Jasmine
Aaron
Lucian
Gretchen

Answers

The lowest ratio is Lucian

Answer:

C

Step-by-step explanation:

What percentage of a dollar is the value of each coin combination

1. 4 dimes
2. 1 nickel and 3 pennies
3. 5 quarters and 1 dime

Answers

Answer:

1) 40%

2) 8%

3) 160%

Step-by-step explanation:

1) a dime is 10 cents. 10+10+10+10 = 40

.40/1.00 = 0.4 move the decimal to places to the right to turn into a percentage. 40%

2) 1 nickel is 0.05 cents and 3 pennies equal 0.03 cents. 0.05+0.03= 0.08 0.08/1.00=0.08

move the decimal to places to the right to turn into a percentage. = 8%

3) a quarter is 0.25 cents and a dime is 0.10 cents.

6 quarters = 0.25+0.25+0.25+0.25+0.25+0.25= 1.50

1.50 + 0.10= 1.60

1.60/1.00= 1.60 move the decimal to places to the right to turn into a percentage 160%

A cleaner recommends mixing 1½ cup of cleaner for every 12 cups of water. What is the ratio of cleaner to water in simplest form?

Answers

Answer:

Step-by-step explanation:

water:cleaner = 12:1.5 = 8:1

Answer:

15 cups ??? i dont know tho pay attention in class

Step-by-step explanation:

.....

solve the rational equation: 1/x-1 - 1/x+2 = 1/4

Answers

9514 1404 393

Answer:

  x = -0.5 ±√14.25

Step-by-step explanation:

Subtract 1/4 and combine terms.

  [tex]\dfrac{1}{x-1}-\dfrac{1}{x+2}-\dfrac{1}{4}=0\\\\\dfrac{4(x+2)-4(x-1)-(x-1)(x+2)}{4(x-1)(x+2)}=0\\\\\dfrac{-x^2-x+14}{4(x-1)(x+2)}=0\\\\x^2 +x -14=0\qquad\text{no factors cancel, numerator must be zero}\\\\(x+0.5)^2-14.25=0\qquad\text{complete the square}\\\\x=-0.5\pm\sqrt{14.25}\qquad\text{add 14.25, square root, subtract 0.5}\\\\x\approx\{-4.2749, 3.2749\}[/tex]


What is the Genotypic and Phenotypic ratio?

Answers

Answer:

The phenotypic ratios are the ratios of visible characteristics. The genotypic ratios are the ratios of gene combinations in the offspring, and these are not always distinguishable in the phenotypes.

Genotype is the genetic make-up of an organism that describes the nature of each trait. (the letters we often write for a certain trait)

What is the Genotypic and Phenotypic ratio?

Genotype is the genetic make-up of an organism that describes the nature of each trait. (the letters we often write for a certain trait)

Phenotype is the morphology of a living organism .(the trait you usually observe while looking/tracking the organism)

For an Example:

In the flower of a pea plant there are a pink color(RR) or (Rr) and a white color(rr).

When crossing two hybrid ( with two different letters) pink colors,

P  :     Rr        ×      Rr  

G :      R    r        R    r    

F1 :  RR   Rr    Rr    rr

The phenotype ratio will be  (3 pink : 1 white)

The genotype ratio will be  [1 (RR) : 2 (Rr) : 1 (rr)]..

Hence Genotype is the genetic make-up of an organism that describes the nature of each trait. (the letters we often write for a certain trait)

To know more about Genotypic and Phenotypic ratios follow

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help me

its dark in here

Answers

Answer:

Where are you?

Step-by-step explanation:

Call someone to help you, if your scared also this has no question content but if this is a emergency call someone.

Answer:

Ok...........

What are the x 2x + 4 = x + 18

Answers

Step-by-step explanation:

2x+4=x+18

2x-x=18-4( Addition on the Right hand side changes to subtraction on the left hand side and wise-versa.)

1x=14

1x(1*x so X itself)

X=14

Answer:

x+2x+4_x_18=0

2x_14=0

x=14÷2

x=7

12 students have blue eyes. if there are 25 students in the class, what percent of students have blue eyes

Answers

Answer:

3

Step-by-step explanation:

First, you need to turn 12 into 0.12. Then, you multiply that by 25 and boom you get 3.

This is the same every time.

For example, what percent is 28 of 49?

0.28*49=13.72.

Out of 25 students 48% students have blue eyes.

What is percentage?Percentage is the relative value indicating one hundredth part of any quantity.Percentage is denoted by (%).How to find what percent of students have blue eyes?

According to the question,

Total number of students in the class  = 25Total number of students having blue eyes = 12

Now, we can calculate the percentage by the formula, [tex](\frac{number}{total})[/tex] x 100 %

percentage of students have blue eyes [tex](\frac{12}{25})[/tex] x 100 % = 48 %

percentage of students have blue eyes are 48 %

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Which of the following is equivalent to the expression below?
4x + 3(2x - 1) - 4x

Answers

6x-3 should be the answer

The area of the triangle below is 2/5 square meters. What is the length of the base Express your answer as a fraction in simplest form.
3/5 m is the height

Answers

Let's set the base of the triangle to x.

(x* 3/5) / 2= 2/5

Now just solve

x*3/5=4/5

x=4/3

The base has length 4/3

Hope it helped!

The length of the base is 4/3 meters.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The area of a triangle is given by the formula:

A = (1/2)bh

where A is the area, b is the base length, and h is the height.

We are given that the area of the triangle is 2/5 square meters and the height is 3/5 meters.

Plugging these values into the formula, we get:

2/5 = (1/2)bh

b = (2/5) / [(1/2)(3/5)]

b = (2/5) / (3/10)

b = (2/5) * (10/3)

b = 4/3

Therefore,

The length of the base is 4/3 meters.

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paulette has arrived at cape horn. there are five penguins waiting to cross over to antarctica. jim goes before john but after joe. jim returns, fetches his wallet and follows the others. in which order will the penguins arrive?

Answers

Well, this is a guess. Jim goes before john, but after joe. So Jim is second. John is third, so that leaved Joe.

Joe, Jim, John. But I don't know about the other 2.

---

sorry if this doesn't help

Finding angle measures between intersecting lines. Note: Angles necessarily drawn to scale. x=__

Answers

Answer:

x=25+30=55 since the vertically opposite angle are equal.sorry the no is not clear in question

Answer:

[tex]\boxed{\tt x= 45^{\circ}}[/tex]

Step-by-step explanation:

∠BEG and ∠DEB combine to form ⇒ ∠DEG, which is a vertical angle with ∠x because it's the opposite from ∠x.

(Vertical angles are always congruent, or of equal measure)

So, [tex]\tt \angle BEG +\angle DEB=\angle x[/tex]

[tex]\tt \angle BEG +\angle DEB=\angle x[/tex]

[tex]\tt 25^{\circ}+20=x[/tex]

[tex]\tt 45^{\circ}=x[/tex]

[tex]\tt x= 45^{\circ}[/tex]

_____________________________

PLS HELP WILL MARK BRAINLIEST

Answers

Answer:

Complementary Angles

Step-by-step explanation:

When all angles are added together they have a sum of 90°. Two angles that have a sum of 90° are complementary angles.

I know this is 90° because it is a right angle.

To start factoring 2x2 - 5x - 3, we need to find two numbers whose sum (p + q) equals -5 and whose
product (p.q) equals
What value belongs in the blank?

Answers

Answer:

-6

Step-by-step explanation:

First we need to factorize the given expression

2x^2 - 5x - 3,

2x^2 - 6x+x - 3

The two number that we are going to use to split -5x are -6 and 1

Hence the required two numbers are -6 and 1

Let p = -6

Let q = 1

Taking their sum

p+q = -6 + 1 = -5

Take the product

p*q = -6 * 1

p*q = -6

hence the product is equal to -6

PLEASE HELP ME ITS WORTH 25 pts (question number 29)

Answers

Answer:

A, C, D

Step-by-step explanation:

In a proportional relationship, y = kx, k is the constant of proportionality.

A)

4y = x

y = 1/4 x

k = 1/4      Yes

B)

y = 4x

k = 4      No

C)

32y = 8x

y = 8/32 x

y = 1/4 x

k = 1/4    Yes

D)

y = 0.25x

k = 0.25 = 1/4     Yes

E)

1/4 y = 2x

y = 4 * 2x

y = 8x

k = 8     No

Answer: A, C, D

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