Define a variable and write an inequality for each problem. Then solve.

15. Nineteen more than a number is less than 42.
16. The difference of three times a number and 16 is at least 8.
17. One half of a number is more than 6 less than the same number.
18. Five less than the product of 6 and a number is no more than twice that same number.​

Answers

Answer 1

Answer:

15) n+19<42

16) 3n-16 (less or equal) 8

17) n/2 > n-6

18) 6n-5<2n

Step-by-step explanation:


Related Questions

suppose the functions u and w are defined as follows u(x)=x+9 w(x)=the square root of x+8 find the following (wou)(8)= (uow)(8)=

Answers

Answer:

5 and 13

Step-by-step explanation:

To evaluate (w ○ u)(8) , evaluate u(8) then substitute the value obtained into w(x) , that is

u(8) = = 8 + 9 = 17 , then

w(17) = [tex]\sqrt{17+8}[/tex] = [tex]\sqrt{25}[/tex] = 5

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

To evaluate (u ○ w )(8) , evaluate w(8) then substitute the value obtained into u(x) , that is

w(8) = [tex]\sqrt{8+8}[/tex] = [tex]\sqrt{16}[/tex] = 4 , then

u(4) = 4 + 9 = 13

Answer:

Step-by-step explanation:

[tex]u(x)=x+9\\\\w(x)=\sqrt{x+8} \\\\(wou)(x)=u(w(x))=u(\sqrt{x+8} )=\sqrt{x+8}+9\\(wou)(8)= \sqrt{8+8}+9=4+9=13\\\\\\(uow)(x)=w(u(x))=w(x+9)=\sqrt{x+9+8}=\sqrt{x+17}\\(wou)(8)= \sqrt{8+17}=\sqrt{25}=5\\\\[/tex]

Is 9pi rational or irrational

Answers

Answer:

irrational

Step-by-step explanation:

every number that times with pi are irrational, only zero gives a rational number

Write 96% as a fraction.

Answers

Answer:

Directly, it would be 96/100. However,  we can reduce it to become 48/50 = 24/25.

(underlined is simplest answer)

24/25

Step-by-step explanation:

96%

=96/100

=24/25

answer

The table shows the times for the 100-meter dash. What is the
difference between the men'stime and the women's time?
Write your answer in both decimal and fraction form.
Times for 100-meter Dash
Men's winner
9.58
2009
Women's winner
10.49
1988

Answers

Answer:

0.91 (make sure to include unit of measurement)

Step-by-step explanation:

10.49 - 9.58 = 0.91

how many litters is in a gallon

Answers

Answer:3.785 liters

Step-by-step explanation:

Answer:

1 gal = 3.78541

Step-by-step explanation:

A quick search will do it.

Zip codes are numerical designations of locations for the purpose of mail delivery. The following histogram summarizes the number, in hundreds, of zip codes assigned to each state in the United States.

According to the 1.5 IQR rule for outliers, how many low outliers are there in the data set?
Choose 1 answer:

Answers

There are zero number of outliers in data set.

What are [tex]1.5[/tex] IQR rule for outliers ?

The [tex]1.5[/tex] IQR rule for outliers says that any data point below [tex]Q_{1} -1.5\ IQR[/tex] is a low outlier. or lower than this are a low outliers.

And,

[tex]IQR=Q_{3} -Q_{1}[/tex]

We have,

[tex]Q_{1}= 275[/tex]

[tex]Q_{3} = 933[/tex]

Minimum [tex]= 1[/tex]

Maximum [tex]= 2596[/tex]

Median [tex]= 533[/tex]

Now,

[tex]IQR=Q_{3} -Q_{1}[/tex]

IQR [tex]=933-275=658[/tex]

So,

[tex]Q_{1} -1.5\ IQR[/tex]

[tex]=275-1.5*658[/tex]

[tex]=-712[/tex]

So, any data point lower than this is the low outlier.

As we see the given histogram, there is no point below this outlier so, in the given histogram there is no low outlier.

Hence, we can say that here are zero number of outliers in data set.

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Answer:

The correct answer is 3.

Step-by-step explanation:

You go to the grocery store to buy milk and some eggs. Milk costs $3.67 and eggs cost $2.40. You want to make sure you have enough money. Estimate the cost of these two items to the nearest ones place.

Answers

Answer:

Step-by-step explanation:

Let's start by round 3.67. We look at the key digit which is 6 in this case. Since 6 is greater than 5, 3.67 will round up to 4.

The key digit in 2.40 is 4. 4 is not greater than 5, so we round down to 2.

2+4=6

Therefore, an estimate of these two items to the nearest ones place is $6.

Answer:

$2 for the eggs and $4 for the milk

Step-by-step explanation:

Since the eggs cost $2.40 and after the 2 you can see that there is a 4, " 5 or more we add one more, 4 or less just ignore", so it stays $2. However the milk costs $3.67, and here you can see that after the 3 there is a 4, so since it's more than 5 we change the estimated amount to $4.

I hope you understood, and I hope the answer is right :)

simplify (2/3 of 21/4)

Answers

Answer: 3 1/2

Step-by-step explanation:

"Of" is the same as multiplication so,

2/3 × 21/4=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

2 × 2/13 × 4 = 42/12

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 42 and 12 using

GCF(4/2 , 1/2) = 6

4/2 ÷ 6 1/2 ÷ 6 = 7/2

The fraction

7/2

is the same as

7÷2

Convert to a mixed number using

long division for 7 ÷ 2 = 3R1, so

7/2 = 3 1/2

Therefore:

2/3 of 21/4 = 3 1/2

Hopefully, I Helped

If angle DEG is 8x + 14 and angle GEF is 8x - 7, the measure of angle DEG is ___ degrees.

Answers

Answer:

100.5

Step-by-step explanation:

As it's a straight line, the angles should add up to 180. So 8x+14+8x-7=180, 16x+7=180, x=10.8125, DEG will be 8x+14=100.5

solve each of the inequalities illustrating each solution on a number line
a)x-3 ≥7
b)-2y+4> 3

Answers

Answer:

a) [tex]x \geqslant 10[/tex][tex]y < - \frac{ - 1}{2} [/tex]

Step-by-step explanation:

mark me as brainliest ❤️

WILL MARK BRAINIEST IF FAST!


Kane's Furniture Store advertised a table at a 11% discount. The original selling price was $111, and the sale price was $100. Was the sale price consistent with the ad? Explain.
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. No, the sale price was s higher than it should have been
(Round to the nearest cent.)
OB. No, the sale price was $ lower than it should have been
(Round to the nearest cent.)
OC. Yes, the sale price was consistent with the ad, because it represents a 11% discount.
va
Vi
(11)
More
Click to select and enter your answer(s) and then click Check Answer.
Help Me Solve This
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Answers

Answer:

A. No, the sale price was 1.21 higher than it should have been

Step-by-step explanation:

First find the discount

111 * 11%

111 * .11

12.21

Subtract this from 111

111-12.21

98.79

The sale price should have been 98.79

100-98.79

1.21

Which word begins with an open syllable?
silly
sister
sofa
softer

Answers

The word sofa begins with an open syllable.

Phonetics is the study of the sound of words/ speeches. This branch of linguistics deals with how words and letters sound and classifies them accordingly.

In phonetics, open and closed syllables refer to the specific nature of how the words end. This means that the words that end with a vowel are known as open syllables while the words that end with a consonant are known as closed syllables. Now, looking at the individual words given in the question, we can ascertain that the initial syllables of the words "silly, sister, softer" all ends in a consonant word. On the other hand, the word "sofa" begins with a vowel "o", thereby making it an open syllable.

The easiest way to detect an open and closed syllable is by identifying the position or use of the vowels and consonants in a syllable. This makes the word "sofa" an open syllable.

Learn more about open syllable here:

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The product of 2 and a number k, subtracted from 17

A. 2+k+17

B. 2k+17

c. 17-2k

D. 2k-17​

Answers

hi <3

product means multiplication, therefore we know there has to be a '2k' and we can eliminate option A

also, there is a mention of subtraction, so we can also eliminate option B

now we are left with C and D

it is stated that it is being subtracted FROM 17, therefore the 17 would have to come first

in short, your answer is option C

hope this helps :)

The product of 2 and a number k, subtracted from 17 is the expression: c. 17-2k.

What is an expression?

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

given that,

The product of 2 and a number k, subtracted from 17

we have to find the expression for given statement.

let the number be x

now, we have,

The product of 2 and a number k,

i.e. 2*k = 2k

then,  subtracted from 17

i.e. 17 - 2k

so, we get,

x = 17 - 2k

Hence, The product of 2 and a number k, subtracted from 17 is the expression: c. 17-2k.

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Does this scatter plot show a positive trend, a negative trend, or no trend?

Answers

Answer:

This shows no trend.

Step-by-step explanation:

Answer:

No Trend

Step-by-step explanation:

The scatter plot is everywhere and there is no pattern within it therefore it has no trend.

Hope it helps

Can someone help me please :00

Answers

Answer:

according to the dark spots which shows where each number goes to, it would be D.-2

In Evan's math class, there are 7 boys and 10 girls. Which of the following is the ratio of boys to girls in Evan's math class?​

Answers

Answer:

7/17

Step-by-step explanation:

7 boys and 10 girls. Ratio of boys to girls is 7:10

I left home at 5:30 am
7.250m and arrived at school at 7:25am how many seconds did I take to reach school

Answers

I think it is 6,900 seconds. I believe that is the answer because the time distance from 7:25am and 5:30am is 1hr 55 mins, that in seconds is 6,900 seconds.

express 3x-x^2 as m-(x-n)^2. Ill give brainliest to correct answer!

Answers

Answer:

(i) 2x+3y=9.3

5

ˉ

⇒2x+3y−9.3

5

ˉ

Comparing the equation with ax+by+c=0

a=2,b=3,c=−9.3

5

ˉ

Answer:

[tex]\frac{9}{4}[/tex] - (x - [tex]\frac{3}{2}[/tex] )²

Step-by-step explanation:

Given

3x - x² ← factor out - 1 from each term

= - (x² - 3x)

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 3x

= - (x² + 2(- [tex]\frac{3}{2}[/tex])x + [tex]\frac{9}{4}[/tex] - [tex]\frac{9}{4}[/tex] )

= - (x - [tex]\frac{3}{2}[/tex] )² - 1(- [tex]\frac{9}{4}[/tex] )

= [tex]\frac{9}{4}[/tex] - (x - [tex]\frac{3}{2}[/tex] )²

The graph represents a function.
Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
O (0,0)
0 (-3,1)
0 (1,3)
O (31)

Answers

The first choice is correct

If we consider the ordered pair (0,0) then only the graph still represents a function.

How to define a graph represent a function?

In a function, there can not be two different values of x corresponding to the same value of y.

Here, the points on the graph are (0,0), (-3,1), (1,3) and (3, 1).

If we consider point (-3,1) then there will be two points corresponding to the same y value i.e. (-3,1) and (3, 1).

The values of x for a single value of y.

i.e. y = 1.

So, if we consider the ordered pair (0,0) then only the graph still represents a function. Therefore, the correct answer is option (a) (0,0).

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Consider the points below. P(â1, 4, 1), Q(0, 6, 2), R(4, 3, â1)

a. Find a nonzero vector orthogonal to the plane through the points P, Q, and R.
b. Find the area of the triangle PQR.

Answers

Answer:

B. Find the area of the triangle PQR.

Plss help me! Brainlist! Pls!!! I’m so confused!!!!

Answers

3^ (1-2x)=243 and ya that’s how you solve it if u don’t understand let me know

Vito avido is a sales representative for a company that sells roofing material. he receives a graduated commission of 5 percent on the first $5,000 of sales, 6.5 percent on the next $15,000, and a 7 percent on sales over $20,000. What is his commission on $23,458 in sales?

Answers

23458 >20000

Hence commission will be 7%

[tex]\\ \rm\longmapsto 23458\times \dfrac{7}{100}[/tex]

[tex]\\ \rm\longmapsto \dfrac{164206}{100}[/tex]

[tex]\\ \rm\longmapsto 1642.06[/tex]

Vito Avido's commission on $23,458 in sales is $1466.06.

Here, we have to calculate Vito Avido's commission on $23,458 in sales, we'll break down the sales amount into different ranges and apply the respective commission rates for each range.

For the first $5,000 of sales: 5% commission

Commission = 5% of $5,000 = 0.05 * $5,000 = $250

For the next $15,000 of sales: 6.5% commission

Commission = 6.5% of $15,000 = 0.065 * $15,000 = $975

For the remaining amount over $20,000: 7% commission

Sales above $20,000 = $23,458 - $20,000 = $3,458

Commission = 7% of $3,458 = 0.07 * $3,458 = $241.06

Now, add up the commissions from each range:

Total Commission = $250 + $975 + $241.06 = $1466.06

Vito Avido's commission on $23,458 in sales is $1466.06.

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Select the matrix multiplication that transforms vector A to
vector B

Answers

Answer:

Option C.

Step-by-step explanation:

Notice that only option B and C involves the vectors in transformation

[tex]A=\begin{bmatrix}4\\2\end{bmatrix}, B=\begin{bmatrix}-8\\-4\end{bmatrix}[/tex]

However, option B is not a defined multification since the dimension of both matrices are not matching. Vector A is 2x1 but the second matrix is 2x2.

Find the area of this circle

Answers

Answer:

314ft²

Step-by-step explanation:

A = 3.14(10²)

A = 3.14 x 100

A = 314ft²

Answer:

Area is 314 ft²

Step-by-step explanation:

[tex]A = \pi {r}^{2} [/tex]

r is radius,

[tex]r = \frac{diameter}{2} = \frac{20}{2} = 10 \: ft[/tex]

therefore:

[tex]A = 3.14 \times {10}^{2} \\ A = 3.14 \times 100 \\ A = 314 \: {ft}^{2} [/tex]

What is the slope of a line parallel to a line with equation -4y + 7x = 20?

Answers

Answer:

[tex]{ \underline{ \sf{slope \: is \: \frac{7}{4} }}}[/tex]

Step-by-step explanation:

Parallel lines have same slopes.

General equation of line:

[tex]y = mx + c[/tex]

the line given:

[tex] - 4y + 7x = 20 \\ 4y = 7x - 20 \\ y = \frac{7}{4} x - 5[/tex]

GH = 4x - 1, and DH = 8. Find x.
Help

Answers

x=197 is the answer for your question

Answer:

x=4.25

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

8+8=4x-1

16=4x-1

4x=16+1

4x=17

x= 17/4

I have no idea if i am correct just a guesstimate

Have a good day

solve -5x+y=1 and 9x-2y=4 using multiplication and then elimination.​

Answers

Answer:

x = - 6, y = - 29

Step-by-step explanation:

Elimination:

2*(-5x + y = 1) = -10x + 2y = 2

9x - 2y = 4 = + (9x - 2y = 4) =

-x = 6

x = -6

9(-6)-2y=4

-54-2y=4

-2y=58

y=-29

Which set of ordered pairs represents a function?

{(3,6), (3, 1), (9,0), (2, 2)}

{(2,-5), (-3, 6), (-1, -8), (-3,-4)}

{(4, -7), (-2, -1), (-7,4), (9, -1)}

{(3,8), (-2,-9), (1,4), (1,9)}

Answers

Answer:

{(4, -7), (-2, -1), (-7,4), (9, -1)}

Step-by-step explanation:

Every other set of ordered pairs has an x-value that has more than one y-value. This is against the rules of a function. Therefore, {(4, -7), (-2, -1), (-7,4), (9, -1)} represents a function.

The ratio of red beads to blue beads on a necklace is 4:7. What fraction of the beads are blue?

Answers

Answer:

fraction of blue beads = 7/(4+7)

= 7/11

Answer:

3:5

Step-by-step explanation:

find a common numeral

Find the output, k, when the input, t, is -7.

k= 10t - 19

k=

Answers

Answer:

Here is the answer . hope this helps.

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