Determine whether the given value of the variable is a solution to the inequality.

x+7<15 when x=9

Answers

Answer 1

Answer:

No

Step-by-step explanation:

9+7 : 16

16<15

It is not

Answer 2

Answer:

The solution is false.

Step-by-step explanation:

In order to get the solution for the first part(x+7), you would substitute the x with the given value(9). So (9)+7=16. Now it would be 16<15. This statement is false because 16 is not smaller than 15. 16 is greater than 15. 16>15


Related Questions

plzz helpp guys
At the beginning of an environmental study, a forest covered an area of 1500 km . Since then, this area has decreased by 2.4% each year. Lett be the number of years since the start of the study. Let y be the area that the forest covers in km². Write an exponential function showing the relationship between y and t.​

Answers

Answer:

[tex]y = 1500(0.024)^t[/tex]

Step-by-step explanation:

Given

[tex]a = 1500km[/tex] -- initial area

[tex]b = 2.4\%[/tex] -- rate

[tex]t = time[/tex] --- (years)

Required

Represent as an exponential function

An exponential function has the form:

[tex]y = ab^t[/tex]

Where

[tex]a = initial\ value[/tex]

[tex]b = rate[/tex] and [tex]b \ne 1[/tex]

[tex]t= time[/tex]

Substitute values for a and b, we have:

[tex]y = 1500 * (2.4\%)^t[/tex]

Convert percentage to decimal

[tex]y = 1500 * (0.024)^t[/tex]

[tex]y = 1500(0.024)^t[/tex]

Hence, the exponential function that represents the scenario is: [tex]y = 1500(0.024)^t[/tex]

The actual length (1) of a rectangle is 122 inches. Use the scale drawing of the rectangle to find the actual width (w).

W 1.8 in.

6.1 in.

A

3.38 in.

B

36 in

С.

67.77 in

D

219.6 in

Answers

Answer:

B. 36 in.

Step-by-step explanation:

Length of the scale drawing (L) = 6.1 in.

Width of the scale drawing (W) = 1.8 in.

Actual length = 122 in.

Using the scale drawing we can apply the rules of three of proportions to find the actual width.

Thus, set the ratio of the scale drawing length to width, equal to the ratio of the actual length to width:

[tex] \frac{6.1}{1.8} = \frac{122}{x} [/tex]

Cross multiply

[tex] 6.1*x = 122*1.8 [/tex]

Divide both sides by 6.1

[tex] x = \frac{122*1.8}{6.1} [/tex]

[tex] x = 36 [/tex]

Actual width of the rectangle = 36 in.

0.4 of 1 minute.
Help please

Answers

Answer:

24 seconds

Step-by-step explanation:

1 minute is 60 seconds
and 0.4 = 4/10 = 2/5

so find 2/5 of 60 = 24

0.4 of 1 minute is 24 seconds

Find the value of g7) for the function below.
g(x)= 7/8x -1/2

Answers

Answer:

[tex]g(7) = \frac{45}{8} \\ \: or \: \\ 5 \frac{5}{8} [/tex]

Step-by-step explanation:

We would just apply the 7 in g(7) as all the x

g(x)= 7/8x - 1/2

g(7)= 7/8(7) -1/2

[tex] \frac{7}{8} \times \frac{7}{1} = \frac{49}{8} [/tex]

Simplify

g(7)= 49/8 -1/2

Multiply -1/2 by 4/4 to get the denominators the same

[tex] \frac{49}{8} - \frac{4}{8} = \frac{45}{8} [/tex]

answer: g(7)=45/8

(simplified): g(7)=5 5/8

The expression 200 - 16t2 models the height in feet of an object that falls from the initial height of 200 feet t seconds after being dropped. Find the height of the object after 0.75 seconds. Make sure and include the units of feet in your answer for full credit. Round your answer to the nearest hundredth place.

Answers

Answer:

Concept: Modeling expressions

We are given the equation [tex]200 - 16 {t}^{2} [/tex]We want to find the time after 0.75 seconds given that t is represented in seconds.Hence we do [tex]200 - 16(0.75)^{2} [/tex]Hence we get the answer to 191 feet

The height of the object that falls after 0.75 seconds given that t is represented in seconds is 191 feet.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The expression 200 - 16t^2 models the height in feet of an object that falls from the initial height of 200 feet t seconds after being dropped.

We need to find the time after 0.75 seconds given that t is represented in seconds.

The expression is given

[tex]200 - 16t^2[/tex]

time t = 0.75

Substitute the value of t in the given expression

= 200 - 16(0.75)^2

= 200 - 9

= 191

Hence we get the answer to 191 feet.

Learn more about quadratic equations;

brainly.com/question/13197897

triangle abc is similar to triangle def. the lengths of the sides of triangle abc are 5, 8, and 11. what is the length of the shortest side of triangle def if its perimeter is 60?

Answers

Answer:

The shortest sides is 12.5.

Step-by-step explanation:

5 + 8 + 11 = 24

60 / 24 = 2.5

So 2.5 * 5 = 12.5

The length of the shortest side of triangle DEF is 12.5 units.

What is a Triangle?

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbolΔ.

Since triangle ABC is similar to triangle DEF, the ratio of the corresponding sides of the two triangles is the same.

Let x be the length of the shortest side of triangle DEF.

The length of the shortest side of triangle DEF, x, is in the same ratio to the length of the shortest side of triangle ABC, 5, as the other sides of triangle DEF are in relation to the other sides of triangle ABC.

The perimeter of triangle ABC is:5 + 8 + 11 = 24

The perimeter of triangle DEF is 60.

So 60 / 24 = 2.5

So the length of the shortest side: 2.5 x 5 = 12.5

Therefore, the length of the shortest side of triangle DEF is 12.5 units.

Learn more about the triangles here:

https://brainly.com/question/17997149

#SPJ2

Find the perimeter of the figure. ​

Answers

Answer:

It's 54

Step-by-step explanation:

perimeter of the square
18+18+18+18 = 72

perimeter of circle
c = 2(pi)r
c = 2(3.41)(18)
c = 113.1

113.1 / 2 = 56.55
56.55+ 72 = 128.55

the perimeter is 128.55
hope this helps!!

Use the Rectangle to the right for Questions 1-4

Answers

Answer:

1. 34

2. 56

3. 112

4. 68

Step-by-step explanation:

For the first one, the angle measuring 112 is a vertical angle to angle 9 so angle 9 is also 112. So 180-112 (180 because the measure of every triangle is 180.) is 68. Then you divide 68 by 2 and get 34 because the angles 1 and 8 measure the same.

For the second one, you would first find the measure of angle 10 by subtracting 180-112 again and getting 68 (the measure of a flat line is 180.) Then you would get 112 for the remaining angles and divide that by two because once again, the two angles are the same measure. So 112 divided by 2 is 56.

For the third one, I already stated that the measure of angle 9 is 112.

And finally, for the fourth one, I also previously stated that the measure of angle 10 is 68.

please help me on this will give you brainliest

Answers

Answer:

11×9=99 99 rounded would be 99.000

Put 11x9=99 99 rounded would end up as 99.000

Right answer gets brainlist

Answers

Answer:

B

Step-by-step explanation:

One spring day, Zoey noted the time of day and the temperature, in degrees
Fahrenheit. During that time, the temperature rose, stayed steady, and fell, at
different rates! On the set of axes below, Zoey created a graph of temperature over
time.
How long did the temperature hold steady for?

Answers

Answer:

2 hours

Step-by-step explanation:

Each square=1 hour

2 squares= 2 hours

Please help!!

What is 2% of 180?

Answers

Answer: 3.6

Step-by-step explanation:

0.02*180=3.6 :)

Answer:

3.6

Step-by-step explanation:

Find the product of the percentage and the value:

180 · 0.02 = 3.6

Therefore, 2% of 180 is 3.6.

b - 13=3
Help pls
Thanks

Answers

13-3=10 b=10 there ya goo:)

how many solutions does this system of equations have?​

Answers

1 solution should be your answer. have a great day!
There is 1 solution, since there is 1 point where the two lines intersect. The intersection point is essentially the solutions of x and y.

Which statement best describes the triangle formed by joining the points A(-3,6),B(-11,2),C(-4,-2)

Answers

Answer:

Isosceles triangle

Step-by-step explanation:

Length of side AB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                              = [tex]\sqrt{(-11+3)^2+(2-6)^2}[/tex]

                              = [tex]\sqrt{64+16}[/tex]

                              = [tex]\sqrt{80}[/tex]

                              = 4[tex]\sqrt{5}[/tex]

Length of BC = [tex]\sqrt{(-4+11)^2+(-2-2)^2}[/tex]

                      = [tex]\sqrt{49+16}[/tex]

                      = [tex]\sqrt{65}[/tex]

Length of AC = [tex]\sqrt{(-3+4)^2+(6+2)^2}[/tex]

                      = [tex]\sqrt{1+64}[/tex]

                      = [tex]\sqrt{65}[/tex]

Since, AC = BC, ΔABC will be an isosceles triangle.

. Caroline had 400 stamps in her collection. 1 10 th of them were Indian stamps, Onethird of the remaining stamps were from Europe and 100 stamps were from Africa. The rest were from the United States of America. How many American stamps were there?

Answers

Answer:

So 400 stamps

African---> 100

Indian------> 1/10 x 400

= 40

European---> 400-40=360

1/3 x 360

= 120

so 120+40+100= 260

400-260

= 140 stams from US

Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d-6

Answers

Answer: -209

Step-by-step explanation:

Formula for arithmetic progression

= a + (n - 1)d

Since a10 = 1 and d = -6

a10 = a + 9d

a + 9(-6) = 1

a - 54 = 1

a = 1 + 54

a = 55

Therefore, 45th term = a + (n - 1)d

= a + (45 - 1)d

= a + 44d

= 55 + 44(-6)

= 55 - 264

= -209

No Solutions
6x - 3x + 4 - 2x= _ + _

Answers

X+4

I hope it helps

Find the lower quartile of the following numbers: 1, -2, 7, 9, 0, 10

Answers

Answer:

0

Step-by-step explanation:

The first step is to locate the median.

The median is the middle value of the numbers arranged in ascending order. If there is no exact middle value then it is the average of the numbers either side of the middle.

- 2,  0,  1,  7,  9,  10 ← ascending order

              ↑ middle

median = [tex]\frac{1+7}{2}[/tex] = [tex]\frac{8}{2}[/tex] = 4

The lower quartile Q₁ is the middle value of the numbers to the left of the median, that is

- 2,  0,  1

       ↑

lower quartile Q₁ = 0

Cheryl borrowed $7,000 from her parents to purchase a car interest free. she makes one payment on the loan to her parents each month. if the loan amount decreases by $300 each month, which of the following functions represents the loan amount, L(x), after x months?

A. L(x) = $6,700x
b. L(x) = $300x
C. L(x) = $300 - $7,000x
D. L(x) = $7,000 - $300x

Answers

Answer:

the answer should be D

Step-by-step explanation:

because she took the enital 7,000 then she started taking 300 a month and x equals the amount of months

Did I get this right? Please explain how I got it right if I did

Answers

Answer:

no 6 hours

Step-by-step explanation:

no it would be 6 hours

25% = 7.5 hours

5% = 1.5 hours

7.5 - 1.5 = 6 hours

Not sure if it's right?? but I clicked yes

Answers

Answer:

yes you are right it is yes

Step-by-step explanation:

Yes I believe it’s right all you have to do it multiple the sides by 2.5 to see if you get the similar answer

Complete the pairs of corresponding parts if △RST ≅ △TXY.



∠S =

∠ TXY
∠ XTY
∠ XYT

Answers

Answer:

∡S corresponds to ∡X

∡TXY = ∡RST

∡XTY = ∡SRT

∡XYT = ∡STR

Step-by-step explanation:

Answer: im thinking angle txy for the answer, but i mean, why can't you guys who answer just say "_ = _" or "the answer is _" with an explanation below?!?!

Step-by-step explanation: :|

the slope of the line is 8. Write the point-slope equation for the line using the coordinates of the labeled point.

Answers

Answer:

yes

Step-by-step explanation:

Can anyone help with this?

Answers

Answer: 1. Not a right triangle 2. Right Triangle 3. Right triangle 4. Right triangle 5. Not a right triangle

Step-by-step explanation:

the right triangle has to have a pattern to go by, so only evens or only odd sides.

box is filled with six yellow cards six red cards and three blue cards a card is chosen at random from the bag what is the probability that the card is not read

Answers

Answer:

There is a 9/15 or 3/5

Step-by-step explanation:

There are a total of 15 cards, of those, 6 are red, so if you subtract 6 from 15, you get 9, which is the total amount of yellow and blue cards, which is what you were to not get a red card.

Combine like terms in the following expression
6 - 5z + 8 - 4z + 1

Answers

Answer:

15-9z

Step-by-step explanation:

combine like terms,, the like terms we have are the terms (z) and the whole numbers so we combine 6,8, and 1-- and combine -5z and -4z to get the solution.

The area of a circle, in terms of π, is 54π m2.

Find the value of the radius.

Give your answer as a simplified surd.
Pls helpppppp

Answers

Answer:

3√6 m

Step-by-step explanation:

The formula for area of a circle is

A = πr^2

r= √A/π

Since;

A= 54π m2

r = √54π/π

r = √54

r = √54 = √6  * √9 = 3√6

r = 3√6 m

HELP PLEASE! WHAT IS THE ANSWER!

Answers

a=1 and b=-6, hopefully this is right. Thank you!

step by set
0000000000000000000000000000000011111111111111111111111111111111111111111111010101010000000000001010101000000011110101010101010101010111010010001

Answers

Answer:

2 2/3 or 8/3

Step-by-step explanation:

Step by step I am guessing? (Is that what each question is for?)

STEP 1

First we have to find 1/3 of 23:

23/3= 1/3 of 23

Then:

5/1 = 15/3

STEP 2

Subtract:

23-15= 8/3

8/3 or 2 2/3

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