In an inequality, -2.5 is the lesser number. What is the position of the other number on the horizontal number line in relation to -2.5?

Ants

Step-by-step explanation:

Answer:

point D

Step-by-step explanation:

Answer:

[tex]Length = 18m[/tex]

[tex]Width = 10m[/tex]

Step-by-step explanation:

Given

[tex]Area = 180m^2[/tex]

[tex]Width = Length - 8[/tex]

Required

Determine the Length and the Width

Represent Width with W and Length with L;

So, we have:

[tex]Area = L * W[/tex]

[tex]Area = L * (L - 8)[/tex]

[tex]180 = L * (L - 8)[/tex]

[tex]180 = L^2 - 8L[/tex]

[tex]L^2 - 8L - 180 = 0[/tex]

Expand

[tex]L^2 - 18L + 10L- 180 = 0[/tex]

[tex]L(L - 18) + 10(L- 18) = 0[/tex]

[tex](L + 10)(L- 18) = 0[/tex]

Split

[tex]L + 10 =0[/tex] or [tex]L - 18 = 0[/tex]

[tex]L = -10[/tex] or [tex]L = 18[/tex]

But length cant be negative:

So,

[tex]L = 18[/tex]

Recall that:

[tex]Width = Length - 8[/tex]

[tex]W = 18 - 8[/tex]

[tex]W = 10[/tex]

Hence:

[tex]Length = 18m[/tex]

[tex]Width = 10m[/tex]

The dimension of the rectangular garden is 8m by 10m

The formula for calculating the area of the rectangular garden is expressed as;

A = lw

l is the length

w is the width

If the width of the garden must be 8 meters less than the length, then;

w = l - 8

Substitute into the formula;

180 = l(l-8)

180 =l^2 - 8l

l^2-8l - 180 = 0

Factorize the result;

l(l+10)-8(l+10) = 0

(l-8)(l+10)=0

l = 8 and -10

Since A = lw

w = A/l

w = 180/8

w = 10

Hence the dimension of the rectangular garden is 8m by 10m

Learn more on area of the rectangle here:https://brainly.com/question/17416965

Answer:

16 days

Step-by-step explanation:

Given that:

Number of paramecium Aurelia doubles every 1.25days

5 days ago ; number of paramecium Aurelia = 1

How many are there now?

Using the relation :

Multiplier^(total number of days / time it takes to multiply)

Multiplier = doubles = 2

Total number rof days =. 5

Time it takes to. Multiply = 1.25

The formula becomes :

Number(n) of ptotozoan in 5days is given by 2^(5/1.25)

n = 2^(5/1.25)

n = 2^4

n = 2 * 2 * 2 * 2 =. 16

Answer:

24 meters

Step-by-step explanation:

The equation for the area of a triangle is A=1/2BxH where B is the base and H is the height. You are given the area and the height so you need to plug those values into the equation and solve.

120=1/2Bx10

240=Bx10

24=B

Answer:

Six units to the right. Answer C

Step-by-step explanation:

The image is IGH, which is the triangle ABD shifted to the right 6 units

Answer:

30°

Step-by-step explanation:

<4=<2=30

(vertical opposite angles are equal)

Answer:

30 degrees

Step-by-step explanation:

Since 4 is equal on the other side of 2, it would be congruent, which is the same as 2. So, 30 degrees.

Answer:

2 2/5

Step-by-step explanation:

3 * 4/5

~Make the whole number a fraction by adding a 1 as the denominator

3/1 * 4/5

~Multiply both numerators and denominators

12/5 or 2 2/5

Best of Luck!

Answer:

12/5 :)

Step-by-step explanation:

3/1 x 4/5

3x4/1x5

12/1x5

12/5

Answer:

-16 8 x 2^3

Step-by-step explanation:

-16 8 x 8

-16 x 8 x 8

-128 x 8

-1024

Answer:

9

Step-by-step explanation:

6+13+9+14+5+7=54

54/6= 9

Answer:

the mean is 9

Step-by-step explanation:

add 6+13+9+14+5+7=54

and 54 divided by 4 equals=9

How to find a mean in any question

Count the number N of data points in your data set.

Sum up all of the data points in your data set (add them all together).

After adding them divided the sum added by the number of numbers

EX1:1,2,43,5,6-there are 5 numbers so you divided 5 by the sum

Answer:

that what

Step-by-step explanation:

Answer:

she had more than me

Step-by-step explanation:

Answer: $79.50

Step-by-step explanation:

Add together $130 and $125.50 to find out how much she deposited.

$130+125.50=$255.50

Now subtract the amount that was deposited from the total amount in her account.

$335−$255.50=$79.50

Answer:

it has 0 real solutions

Step-by-step explanation:

Answer:

y = 12x2 - 9x + 4

✔ no real solution(s)

10x + y = -x2 + 2

✔ two real solution(s)

4y - 7 = 5x2 - x + 2 + 3y

✔ no real solution(s)

y = (-x + 4)2

✔ one real solution(s)

Answer:

A. (2, 5)

Step-by-step explanation:

If B and B' have symmetry, then P is a midpoint between those points. We can determinate the location of point P by using the midpoint equation, whose vectorial form is:

[tex]P(x,y) = \frac{1}{2}\cdot B(x,y)+\frac{1}{2}\cdot B'(x,y)[/tex] (Eq. 1)

If we know that [tex]B(x,y) = (2,8)[/tex] and [tex]B'(x,y) = (2,2)[/tex], then the location of P is:

[tex]P(x,y) = \frac{1}{2}\cdot (2,8)+\frac{1}{2}\cdot (2,2)[/tex]

[tex]P(x,y) = (1, 4)+(1,1)[/tex]

[tex]P(x,y) = (2, 5)[/tex]

Which corresponds to option A.

Answer:

D. -1/2

Step-by-step explanation:

When a line is perpendicular to another line the slope will be the exact opposite. For example line A = y = 3x + 5 the line perpendicular to it will be -1/3x.

So -1/2 is the slope of your perpendicular line.

Answer:

$61.99

Step-by-step explanation:

Based on everything that Taino bought his total amount would be $61.99 . Mental math would mean that no work is shown but for the sake of explanation, I can try to show how to derive the value from the answer choices given quickly. First, we see that the cents in each purchase do not equal a round dollar value when added so the answer must be either A or C. Secondly we add the dollar values and see that it surpasses the round value of 60 making the answer C.

Answer:-0.560

Step-by-step explanation:

Answer:

There are 209 4-digit nu numbers with 17 as consecutive digits

Step-by-step explanation:

17xx xx represent 00 through 99, a set of {100} members.

y17z. y can be 1 through 9 {9}. z can be 0 thru 9 {10}

ww17 which includes 10 thru 99, a set of {90}

Add 100+90+10+9 to get 209 possible combinations.

Answer:

So if she worked for 25 hours and has $1,000 in the bank and she needs $2,000 for the trip . Divide 25 from 1000 and you get 40. Multiple 40 by 2 and you get 80 . So she needs to work 50 hours to get $40 a day so she has 2000 by her trip

Step-by-step explanation:

Answer:

I need points lol well I kinda have no idea what ur taking abt

Answer:

the calculator i used was called calculator soup this is a website all u gotta do is search up factor calculator and it will pop up this website always helps if u want u can search up what u calculator u want at the top where it says search

Answer:

x=80

Step-by-step explanation:

The sum of interior angles in a quadrilateral is 360°

the square represents a right angle= 90 degrees

124+66+90=280

360-280=80

x=80

Answer:

2.28%

Step-by-step explanation:

The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu = mean, \sigma=standard\ deviation,x=raw\ score\\\\For\ a\ sample\ n\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\For\ x<70.5\ in\\\\Given \ that\ n=100, \mu=71\ in, \sigma=2.5\ in\\\\z=\frac{70.5-71}{2.5/\sqrt{100} }=-2\\\\From\ normal\ distribution\ table, P(x<70.5)=P(z<-2)=0.0228=2.28\%[/tex]

Answer:

57

Step-by-step explanation:

57-12=45. Simple subtraction/addition

Answer:

<IJL and <IJG

Step-by-step explanation:

<IJL and <IJG

Answer:

what? expalint the question

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

x= 16.1

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=16.1