What if the answer to the equation

2+s>=10;s=7

Answers

Answer 1

Solving the inequality [tex]2+s\geq 10\,\,,where\,\,s=7[/tex] we get [tex]9\geq 10\,\,(not\,\,true)[/tex]

We know that 9 is not greater than 10 so, the inequality doesn't hold.

Step-by-step explanation:

We need to solve:

[tex]2+s\geq 10\,\,,where\,\,s=7[/tex]

Solving the inequlaity:

[tex]2+s\geq 10[/tex]

Putting value of s i.e s=7 in the equation

[tex]2+7\geq 10\\9\geq 10[/tex]

Solving the inequality [tex]2+s\geq 10\,\,,where\,\,s=7[/tex] we get [tex]9\geq 10\,\,(not\,\,true)[/tex]

We know that 9 is not greater than 10 so, the inequality doesn't hold.

Keywords: Solving inequalities

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Related Questions

What sort of answer do you expect for the problem below?
In a team bike race, each biker has to ride exactly 50 miles. If a team must
complete 560 miles, at least how many bikers are on each team?
A. a positive number
O
O
B. a negative number

Answers

Answer:

it would be a positive number

Step-by-step explanation:

this is because you cant have a negative number of bikers.

i need help PLEASE!!!!

Answers

Answer:

OPTION A

OPTION B

OPTION D

Step-by-step explanation:

Given that a bag of apples cost 'a' dollars.

A bag of oranges cost 'a + 2' dollars.

Therefore, one bag each of apples and oranges should cost: a + a + 2 dollars.

Since, Dorie buys 5 bags of apples and Oranges, it would have costed her:

5(a + a + 2)

= 5(2a + 2)

= 10a + 10

Hence, OPTION A, B and D are the correct answers.

What is 10 2/6 minus 7 3/6

Answers

Answer:

2 5/6

Step-by-step explanation:

10 2/6 - 7 3/6

10 - 7 = 3

2/6 - 3/6 = -1/6

3-1/6 = 2 5/6

Simon makes 30 cakes he gives 1/5 of the cakes to Sali. He gives 10 percent of the 30 cakes to Jane what fraction of the 30 cakes does he have left?

Answers

Answer:

7/10

Step-by-step explanation:

0.1 = [tex]\frac{1}{10}[/tex]

1/5

30 × 1/10 = 3

30 × 1/5 = 6

6+3 = 9

30 - 9 = 21

21/30 simplified = 7/10

Answer:

7/10

Step-by-step explanation:

Total number of cakes made by Simon = 30 cakes.

Number of cakes gave to Sali =

1/5 Of total cakes = 1/5 x 30 = 6 cakes.

Number of the cakes gave to Jane = 10% of 30 cakes

10/100 as a decimal 0.10.

10% of 30 cakes = 0.10 times

30 = 3 cakes.

Total number of cakes left = Total cakes made - Cakes gave to Sali - Cakes gave to Jane

30-6-3 = 21

21 cakes left.

21/30 = 7/10

How to write 2.751 in word from

Answers

Answer: Two and Seven hundred fifty one thousanths

Step-by-step explanation:

Two point seven hundred fifty one

3.541 ( repeating 41) as a simplified fraction

Answers

[tex]\boxed{x=\frac{1753}{495}}[/tex]

Explanation:

The steps are as follows:

Step 1. Let's create an equation such that x equals the decimal number

[tex]x=3.5414141...[/tex]

Step 2. Let's multiply x by 100

[tex]10x=35.414141... \ \ \ eq 1[/tex]

Step 3. Let's multiply x by 1000

[tex]1000x=3541.414141... \ \ \ eq2[/tex]

Step 4. Subtract equation (1) from (2)

[tex]1000x-10x=3541.414141... - 35.414141... \\ \\ 990x=3506 \\ \\ x=\frac{3506}{990} \\ \\ Dividing \ both \ numerator \ and \ denominator \ by \ 2: \\ \\ \boxed{x=\frac{1753}{495}}[/tex]

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The fraction that represent the given repeating decimal number is [tex]\frac{3506}{990}[/tex].

The given repeating of decimal number is [tex]3.5\bar{41}[/tex].

The decimal number can be written as [tex]3.5414141......[/tex]

Take  [tex]x=3.5414141......[/tex]---------(i)

Multiply equation (i) by 10, we get

[tex]10x=35.414141......[/tex] ---------(ii)

Multiply equation (i) by 1000, we get

[tex]1000x=3541.4141......[/tex] ---------(iii)

Subtract equation (ii) from (iii), we get

[tex]1000x-10x=3541.4141......-35.4141......[/tex]

[tex]990x=3506[/tex]

[tex]x=\frac{3506}{990}[/tex]

Therefore, the fraction that represent the given repeating decimal number is [tex]\frac{3506}{990}[/tex].

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PLEASE HELP QUICK!!!!​

Answers

Answer:

Step-by-step explanation:

ABC = 72 degrees

CBF = 108 degrees

DBE = 18 degrees

ADB =  90 degrees

Write an equation in point-slope form for the line through the given point that has the given slope.


(5, –8); m = –3

Answers

Answer:

y=mx+b is the formula. So -8=-3x+5 would be the answer..

since (x,y) just substitute these numbers you have it into the formulas... Take y from (5,-8) and place it into y=mx+b. Next take the slope which is -3. And then since its a postive number we add are x from (x,y). -8=-3x+5. We also add x next to the slope (-3) becuase we are trying to solve for x. And we always put it next to the slope. Hope this helps!

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)    you have : m=-3  and x_1 = 5  and  y_1 = -8

an equation in the point-slope is : y +8 = m(x - 5)  

Kayla is running for charity. Her dad pledges to give her $0.50 per mile she runs. Her mom pledges to give her a flat donation of $5. How many miles will Kayla have to run to get the same donation from both parents?

Answers

Answer:

  10 miles

Step-by-step explanation:

Let m represent the number of miles Kayla runs. We want to find m such that ...

  0.50m = 5.00

Divide by the coefficient of m:

  m = 5.00/0.50 = 10

Kayla has to run 10 miles to get the same donation from both parents.

Answer:

!0 miles

Step-by-step explanation:

Alan, Brady and Matt shared 740 marbles. Alan has 20 fewer marbles than Brady and 120 fewer marbles than Matt. How many marbles did Alan have?

Answers

Answer:

[tex]200 \ marbles[/tex]

Step-by-step explanation:

[tex]Let\ Alan\ have\ =x\ marbles\\Brady\ have = (x+20)\ marbles\\Matt\ have = . (x+120)\ marbles\\\\Total\ marbles = 740\\x+(x+20)+(x+120)=740\\x+x+20+x+120=740\\3x+140=740\\3x=740-140\\3x=600[/tex]

Dividing [tex]3[/tex] both sides.

[tex]\frac{3x}{3}=\frac{600}{3}\\\\x=200[/tex]

Final answer:

We solve the problem by setting up a linear equation based on the information given. We solve it to find that Brady has 260 marbles and then deduct or add from this number to find the number of marbles for Alan and Matt. Our answer is that Alan has 240 marbles.

Explanation:

This problem involves solving linear equations in order to find the number of marbles each person has. Firstly, we need to represent each person's marbles in terms of the other person's marbles as given in the question.

Let's say Brady has 'b' marbles. From the problem, we deduce that Alan has 'b-20' marbles (20 less than Brady). We can also deduce that Matt has 'b-20+120' marbles (120 more than Alan).

Given that the total number of marbles is 740, we can set up the equation b + (b - 20) + (b - 20 + 120) = 740. Solving this linear equation, we get b = 260. Then, substituting b in the expressions for Alan and Matt will give us the number of marbles for each person, implying Alan has 260 - 20 = 240 marbles.

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The solution to which inequality is shown in the number line below

Answers

Answer:

Could you provide a picture of said number line

Find the missing side length of m.

Answers

Answer:

m=4

Step-by-step explanation:

Since we know that quadrilateral ABCD is similar to QRST, we know that the side lengths will be proportional to one another. As such, we should take a ratio to determine the side length of m.

[tex]\frac{ST}{CD}=\frac{RS}{BC}\\\\\frac{6}{15} =\frac{m}{10}\\[/tex]

[tex]\frac{6*10}{15} =m\\m=60/15=4[/tex]

m=4

A 17 minute telephone call from Boston to Chicago costs 2.38 what is the cost per minute?

Answers

Answer:

0.14

Step-by-step explanation:

As for 17-minute call = 2.38 cost

Thus per minute call which is 1 minute call is = 2.38/17 min

Therefore the answer is 0.14

0.14 cents

$2.38 divided by 17 is 0.14

If A and B are independent events, P(A and B) =​

Answers

Answer:

If A and B are independent events, P(A and B) =​ P (A) * P (B)

Step-by-step explanation:

Let's recall that independent events means that when one event occurs, it has no impact or influence on the probability of another event occurring. Here’s an example. Let’s say that we have two events, A and B.  

Event A : it rains in Seattle

Event B : the Super Bowl match is cancelled in Miami

The two events are independent; if it rains in Seattle, this will have no impact on the probability that the Super Bowl match is cancelled in Miami. Raining in Seattle and the cancellation of the Super Bowl are independent events, therefore:

P(A and B) =​ P (A) * P (B)

how do you solve this system , y=1/2x-4 and y=-2x+1 by graphing

Answers

Answer:

x=2

y=-3

Step-by-step explanation:

we have

[tex]y=\frac{1}{2}x-4[/tex] ----> equation A

[tex]y=-2x+1[/tex] ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations by graphing is the intersection point both lines.

using a graphing tool

The intersection point is (2,-3)

therefore

The solution is

x=2

y=-3

18
Andy flies from the UK to Japan.
His plane ticket costs £554.
Andy then flies from Japan to Australia.
His plane ticket costs 70 140 Japanese Yen.
The exchange rate is £1 = 140 Japanese Yen.
Leila flies from the UK to Australia.
Her plane ticket costs 1860 Australian dollars.
The exchange rate is 1 Australian dollar = £0.62.
Who pays more to fly from the UK to Australia, Andy or Leila?
You must show clearly how you get your answer.

Answers

Answer: Leia pays more to fly from the UK to Australia

Step-by-step explanation:

We have two persons, Andy and Leila; both travel from UK to Australia but in different ways:

For Andy:

-He first flies from UK to Japan and the cost of the ticket is [tex]\£ 554[/tex]

-Then he flies from Japan to Australia and the cost of the ticket is [tex]70140 Yen[/tex]

So, the cost of Andy's trip is:

[tex]\£ 554+70140 Yen[/tex] (1)

Taking into account that we have to use the same units to sum two quantities, we have to convert the Yens to [tex]\£[/tex]; knowing that [tex]\£ 1=140 Yen[/tex]:

[tex]70140 Yen \frac{\£ 1}{140 Yen}=\£501[/tex]

Then, (1) is rewritten as:

[tex]\£ 554+\£501=\£1055[/tex] (2) This is the total cost of Andy's trip

For Leila:

She flies directly from UK to Australia and the cost of her ticket is [tex]\$ 1860[/tex] (Australian dollars)

Taking into account that we have the price of Andy's trip in [tex]\£[/tex], we have to convert the Australian dollars to [tex]\£[/tex], in order to compare.

So, knowing that [tex]\$ 1=\£ 0.62[/tex] we have:

[tex]\$ 1860 \frac{\£ 0.62}{\$ 1}=\£1153.2[/tex] (3) This is the total cost of Leila's trip

Hence, comparing (2) and (3) we can see that Leila paid more to fly from UK to Australia.

Convert 13200 feet into miles

Answers

Answer:

2.5 miles

Step-by-step explanation:

to do this, you must know that there is 5280 feet in one mile.

then divide 5280 feet into 13200

13200 ÷ 5280 = 2.5

13200 feet can be converted to miles by dividing the length in feet by the conversion factor of 5280, which represents the number of feet in a mile.

To convert feet to miles,

divide the length in feet by the conversion factor of 5280, as there are 5280 feet in a mile. By dividing 13200 feet by 5280,  the results in 2.5 miles. This means that 13200 feet is equal to 2.5 miles in length.

To convert 13200 feet to miles, divide 13200 by 5280.

[tex]13200 / 5280 = 2.5[/tex] miles.

13200 feet is equivalent to 2.5 miles

Therefore, 13200 feet is equivalent to 2.5 miles by dividing the length in feet by the conversion factor of 5280, which represents the number of feet in a mile.

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Find the sum of the complex numbers
(2 + 4i) + (9 +61)
A. 7+ 101
B. 11 + 21
C. 7+21
D. 11 + 101

Answers

Answer:

11+10i

Step-by-step explanation: (a+ib) + ( x+ iy) = ( a+ x) +i( b+ y)

so, (,2+4i) + (9+6i) = (2+9) + (4+6)i

= 11 + 10i

What is the perimeter of the 9-inch by 12-inch photo?

Answers

9+9+12+12.

24+18.

Answer? 42 inches

Answer:

The perimeter is 42 inches

Step-by-step explanation:

The perimeter is the sum of each side. So 9 + 9 + 12 + 12 = 42

You can also use the formula, w*2 + l*2 = P

Hope this helped! :)


.. Tanner collected 360 cans and bottles while fundraising for his baseball team. This was
40% of what Reggie collected. How many cans and bottles did Reggie collect?​

Answers

Answer:

Reggie collected 900 cans and bottles.

Step-by-step explanation:

360 ÷ 40 = 9

9 x 100 = 900

900 - 40% = 540

900 - 540 = 360

So, Reggie collected 900 cans and bottles. And between him and Tanner, they collected 1,260 cans and bottles. It must have been VERY dirty where they were collecting the cans and bottles.


120% of x is equal to 78.
Write an equation that shows the
relationship of 120%, x, and 78.
Use your equation to find x. Show
your reasoning.
Please help

Answers

Answer:

x = 65

Step-by-step explanation:

120% converts to the mixed decimal quantity 1.20.

Then 1.20x = 78, and this can be solved for x as follows:

Divide both sides by 1.20.  We get:  x = 78/1.20, or x = 65

Answer:

Step-by-step explanation:

There are 6 blue socks, 7 white socks, and 8 gray socks in a drawer. If you pick sock without looking, what is the probability it will be blue?

Answers

Answer:

Pr(blue) = 2/7

Step-by-step explanation:

Blue = 6

White = 7

Gray = 8

Total socks = 6+7+8 =21

Probability of picking blue = number of blue ➗ total number of socks

Pr(blue) = 6/21

Divide both by 3 to make the fraction to the lowest term.

Pr(blue) = 2/7

I hope this was helpful, please mark as brainliest

Answer:

2/7

Step-by-step explanation:

6 blue socks

7 white socks and

8 gray socks

Total number of socks = 6 + 7 + 8

= 21

Probability of picking a blue sock without looking = no of blue socks / total number of socks

That’s 6/21

= 2/7

The probability of picking a blue sock is 2/7

which sum will be irrational?
a) 3+2
b) square root 19 + 7 over 2
c) 18 over 3 + 11 over 10,000 d) -6+(-3.251)

Answers

Option b) square root 19 + 7 over 2 will be an irrational sum because it includes the square root of a non-perfect square (19), which is an irrational number, added to a rational number (7/2).

The question asks which sum will be irrational. To determine this, we must look at each of the options:

a) 3+2 is the sum of two integers, which is also an integer, and thus a rational number.

b) square root 19 + 7 over 2 involves the square root of 19, which is an irrational number because 19 is not a perfect square. The sum of an irrational number and a rational number (7/2) is irrational.

c) 18 over 3 + 11 over 10,000 is the sum of two rational numbers, as both fractions can be simplified to a common form with integer numerators and denominators.

d) -6+(-3.251) is the sum of two rational numbers, since 3.251 can be expressed as a fraction.

The sum in option b will be irrational because it involves the sum of an irrational number, square root 19, and a rational number, 7/2. All the other sums are of rational numbers and will, therefore, also be rational.

PLEASE HELP ME WITH THIS QUICK 1. What is the measurement of PQ

Answers

Answer:

12.72 units

Step-by-step explanation:

Recall the mnemonics: SOHCAHTOA

We want to find PQ, which is opposite to the 58° angle.

So we use the sine ratio: SOH , which means Sine is Opposite/Hypotenuse

[tex] \sin(58 \degree) = \frac{PQ}{15} [/tex]

This implies that:

[tex]PQ = 15 \sin(58) [/tex]

We substitute the value for sin58° to get:

[tex]PQ = 15(0.848)[/tex]

PQ=12.72

What does 4 1/4 subtracted by 1 2/3 equal

Answers

Answer:

2

Step-by-step explanation:

Answer:

2.58333333333

Step-by-step explanation:

calculator

Which expression is equivalent to 210d2 - 63d

Answers

Answer:

21d (10d - 3)

Step-by-step explanation:

Factor 21d out of 210d² - 63d

I don't know if this answered your question correctly, but that is how I would solve it.

The expression is equivalent to 210d² - 63d is  21d( 10d - 3).

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

Expression: 210d² - 63d

now, factorizing each term of expression

210d² = 2 x 3 x 5 x 7 x  d x d

-63d = -3 x 3 x 3 x d

So, 210d² - 63d

= (2 x 3 x 5 x 7 x  d x d) - (3 x 3 x 7 x d).

= 21d (2 x 5 x d - 3 )

= 21d( 10d - 3)

Hence, the equivalent expression is 21d( 10d - 3).

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A flower pot’s base has six sides that are all the same length. Each side measures
x−6
units. The base’s perimeter is 78 units. what is the value of x?

Answers

Since we know there are 6 sides and each side has the length of x-6, we set up this equation and solve:

6(x-6)=78

x-6=13

x=19

So the value of x is 19, which means each side has a length of 13 units.

Hope this helped!

if a=10 and b=2,then a/b•b=

Answers

a=10 & b=2, according to this, 10/2=5, so now it's 5*2=10

What are the coordinates of its image, J'KL, if this
triangle is dilated by a factor of 5 with respect to the
origin?

Answers

Answer:

[tex]J'(-15,10)\\\\K'(15,10)\\\\L'(0,-20)[/tex]

Step-by-step explanation:

For this exercise you must remember that the original figure (before a transformation) is called "Pre-Image" and the one obtained after the transformation is called "Image".

 Dilation is defined as a transformation in which the Image and the Pre-Image have the same shape, but different sizes.

If a figure is dilated by a scale factor "k" with respect to the origin, the rule is:

[tex](x,y)[/tex] → [tex](kx,ky)[/tex]

In this case, the vertices of the triangle JKL (the Pre-Image) are:

[tex]J(-3.2)\\\\K(3,2)\\\\L(0,-4)[/tex]

Knowing that the scale factor is:

[tex]k=5[/tex]

You get that the vertices of the triangle J'K'L' (Image), are:

[tex]J'=(5(-3),5(2))=(-15,10)\\\\K'=(5(3),5(2))=(15,10)\\\\L'=(5(0),5(-4))=(0,-20)[/tex]

Answer:

J'(–15, 10), K'(15, 10), and L'(0, –20)

Step-by-step explanation:Glad I could help

Find the value of x in this polygon.




x =

Answers

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

PLATO

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