What does x <-20 mean

[tex]-7x+1\geq22\qquad\text{subtract 1 from both sides}\\\\-7x\geq21\qquad\text{change the signs}\\\\7x\leq-21\qquad\text{divide both sides by 7}\\\\x\leq-3\\-----------\\-10x+41\geq81\qquad\text{subtract 41 from both sides}\\\\-10x\geq40\qquad\text{change the signs}\\\\10x\leq-40\qquad\text{divide both sides by 10}\\\\x\leq-4\\------------\\\\x\leq-3\ or\ x\leq-4\ therefore\ x\leq-3[/tex]

Answer:

[tex]x\leq -3[/tex]

Step-by-step explanation:

We have been given a compound inequality. We are supposed to solve our given inequality.

[tex]-7x+1\geq 22\text{ or }-10x+41\geq 81[/tex]

First of all, we will solve both of our given inequalities separately, then we will combine the solution of both inequalities.

[tex]-7x+1-1\geq 22-1[/tex]

[tex]-7x\geq 21[/tex]

we know dividing or multiplying inequality by a negative number flips inequality.

[tex]\frac{-7x}{-7}\leq \frac{21}{-7}[/tex]

[tex]x\leq -3[/tex]

[tex]-10x+41\geq 81[/tex]

[tex]-10x+41-41\geq 81-41[/tex]

[tex]-10x\geq 40[/tex]

[tex]\frac{-10x}{-10}\leq \frac{40}{-10}[/tex]

[tex]x\leq -4[/tex]

Upon merging overlapping intervals, the solution for our given inequality would be [tex]x\leq -3[/tex].

Answer:

40%

Step-by-step explanation:

Take 8 and divide it by 20 to get the percent.

Answer:

40%

Step-by-step explanation:

To find this, the method I personally like to use is the is over of equals percent over 100.

Your ratio should look like this:

[tex]\frac{8}{20}[/tex] = [tex]\frac{x}{100}[/tex]

Then I cross multiplied; 8 x 100 divide that product by 20.

Hope this helps!

A regular or equilateral triangle has all sides of equal length. The length of each side can be found by dividing the total perimeter by the number of sides. Hence, each side of the triangle is 17 meters long.



The question is asking about the sides of a regular triangle, which is another name for an equilateral triangle. In an equilateral triangle, all sides are of equal length. The perimeter of a triangle (or any polygon) is just the sum of the lengths of all its sides. So, if the perimeter of the regular triangle is 51m, that means the total length of all three sides is 51m. Since all three sides are of equal length, we can find the length of each individual side by dividing the total perimeter by the number of sides. In this case, 51m divided by 3 sides equals 17m. Therefore, each side of the regular triangle is 17 meters long.

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Answer:

Step-by-step explanation: What you need to do is add if it has 2.5%  interest per year. And t starts with 500 you could do 2.5 + 500 tell you get to 750 . Hope this helps

To find out how long it will take for a bank account with an initial balance of $500 and an annual interest rate of 2.5% to reach a balance of $750, we use the time formula for simple interest. Substituting the relevant amounts into the formula, it will take approximately 20 years for the account to reach $750.

This problem pertains to simple interest in finance. The formula for simple interest is I = PRT, where I is the interest, P is the principal amount (the initial amount), R is the annual interest rate in decimal form, and T is the time in years. However, in this case, we want to find the time (T), so we will use the formula T = I / (PR).

In your case, the initial amount or principal (P) is $500, the interest (I) is the difference between the final amount and the initial amount ($750 - $500 = $250), and the interest rate (R) is 2.5% or 0.025 in decimal form.

Substituting these values into the formula, we will have T = $250 / ($500 * 0.025). Calculating this, we get approximately 20 years for the value of the account to be $750.

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Answer:

The diameter of the circle is 9.

Step-by-step explanation:

Because circumference is equal to [tex]\pi[/tex] * d, we can backtrack and use this equation to find diameter. Let's say [tex]\pi[/tex] is equal to 3.14.

28.26 = 3.14d

Divide both sides by 3.14.

9 = d

The diameter of the circle is 9.

To find the diameter of a circle with a circumference of 28.26 units, the formula D = C / π is used, yielding a diameter of approximately 9 units.

The student's question pertains to finding the diameter of a circle when the circumference is given. The circumference (C) of a circle is related to the diameter (D) by the formula C = πD, where π (pi) is approximately 3.14159. Given that the circumference of the circle is 28.26 units, we can solve for the diameter by rearranging the formula to D = C / π.

Substituting the given circumference into the formula gives us:

D = 28.26 units / 3.14159

When we do this calculation, we find that the diameter is approximately 9 units. Therefore, the diameter of the circle is approximately 9 units.

Answer:

$165.62

Step-by-step explanation:

Multiply principle(910) by rate (0.052) and time (3.5)= interest(165.62)

Answer:

His ending balance is $1075.62

Step-by-step explanation:

To solve this question, we will simply use this formula;

Simple Interest =   P × R × T   /    100

where p is the principal amount

R is the rate and T is the time

From the above question,  principal p=$910    Rate r=5.2 and Time t = 3 1/2

We first change 3 1/2 from mixed number to either improper fraction or decimal fraction ;

3 1/2   = 7/2  = 3.5

We can now go ahead and substitute all our variables in the formula;

Simple Interest =   P × R × T   /    100

                             =  $910  × 5.2 ×  3.5     /       100

                               = $ 16562   /    100

                                 =$165.62

Simple interest is $165.62

But what we are ask to look for is the ending balance, to get the ending balance, jut add the principal and the interest altogether;

Ending balance = $910 +  $165.62

Ending balance = $1075.62

Answer:

20%

Step-by-step explanation:2.8-3.5 then divide that by 3.5 and multiple the answer by 100 to get the percent

Answer: 20%

Step-by-step explanation:

According to the  zookeeper ,

The predicted weight of the newborn lion = 2.8 pounds

The actual weight of the newborn lion = 3.5 pounds

Now , the zookeepers's percent error = [tex]\dfrac{|Predicted-actual|}{actual}\times100[/tex]

[tex]=\dfrac{|2.8-3.5|}{3.5}\times100\%\\\\=\dfrac{|-0.7|}{3.5}\times100\%\\\\=\dfrac{0.7}{3.5}\times100\%\\\\=\dfrac{100}{5}\%=20\%[/tex]

Hence, the zookeepers's percent error = 20%.

Answer:

Sry Im guessing. You divide the actual length of pole by the shadow then multiply it to shadow of the tower...

Step-by-step explanation:

Hope it helps

Answer:

Let x be the number.

It is given that a 15 : 9 aspect ratio and a screen that is 42 inches.

Aspect ratio states that  the ratio of the display image’s width to its height.

Then;

Width of the television of(w) = 15x

and height of the television(h) = 9x.

Since, television is in the form of Rectangle.

And it is also, given that the screen is 42 inches .

⇒Diagonal of the television(D) = 42 inches

Using formula of diagonal of the rectangle :

[tex]D^2 =w^2+h^2[/tex]

Substitute the given values to solve for x;

[tex]42^2 = (15x)^2+(9x)^2[/tex]

[tex]1764 = 225x^2 + 81x^2 = 306x^2[/tex]

or

[tex]x^2 = \frac{1764}{306} = 5.76[/tex]

[tex]x = \sqrt{5.76} = 2.4[/tex]

Then:

width of the television (15x) = 15(2.4) = 36 inches and

Height of the television (9x) = 9(2.4) = 21.6 inches.

Therefore, the actual dimensions of the television are;

width = 36 inches and height = 21.6 inches.

Answer:

I believe it is -2

Step-by-step explanation:

The formula of a slope m:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-6, 3) and (8, -1). Substitute:

[tex]m=\dfrac{-1-3}{8-(-6)}=\dfrac{-4}{8+6}=\dfrac{-4}{14}=-\dfrac{2}{7}[/tex]

Hi there!

Step-by-step explanation:

[tex]Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{Rise}{Run}[/tex]

[tex]\frac{(-1)-3}{8-(-6)}=\frac{-1-3}{8+6}=\frac{-4}{14}=\frac{-4/2}{14/2}=\frac{-2}{7}=-\frac{2}{7}[/tex]

Slope is -2/7.

Final answer is -2/7.

Hope this helps!

Have a nice day! :)

:D

-Charlie

Thank you so much! :)

:D

Answer:

C.  

x > 22

Step-by-step explanation:

Deena has already taken 126 calls

She takes 7 calls per hour ( think slope)

y = mx+b

y = 7x+126

She needs to take  at least 280 calls.  So what she does must be greater than 280

280  <7x+126

We need to isolate x.  The first step is to subtract 126 from each side

280-126 < 7x + 126 -126

154 < 7x

Next, we divide by 7 on each side

154/7 < 7x/7

22 < x

Answer: B. [tex]150^{\circ}[/tex]

Step-by-step explanation:

From the given picture, we can see a circle with two perpendicularly intersecting chords .

The measure internal angle made by intersecting of chords : [tex]90^{\circ}[/tex]

The measure of minor arc : [tex]30^{\circ}[/tex]

The formula to find the internal angle is given by :-

[tex]\theta=\dfrac{\text{Minor arc + major arc}}{2}[/tex]

Let x be the Major arc AC, the we have the following equation:-

[tex]90^{\circ}=\dfrac{30^{\circ}\text{ + x}}{2}\\\\\Rightarrow\ 30^{\circ}+x=180^{\circ}\\\\\Rightarrow\ x=180^{\circ}-30^{\circ}\\\\\Rightarrow\ x=150^{\circ}[/tex]

Hence, the measure of [tex]\overarc{AC}=150^{\circ}[/tex]

The measure of the major arc AC is 150°.

In the given picture, a circle with two perpendicularly intersecting chords is shown. The angle formed by the intersection of the chords is labeled as 90°. Additionally, the minor arc formed by these chords has a measure of 30°.

To find the measure of the major arc, we use the formula: θ = (minor arc + major arc) / 2.

Let x represent the measure of the major arc AC.

The formula can be set up as follows: 90° = (30° + x) / 2.

Solving for x, we first multiply both sides by 2 to eliminate the fraction: 180° = 30° + x.

Next, we isolate x by subtracting 30° from both sides:

x = 180° - 30°.

Simplifying further, we get x = 150°.

Therefore, the measure of the major arc AC is 150°. This calculation ensures that the angle formed by the intersecting chords is indeed 90°, and the given information about the minor arc aligns with the solution.

To know more about circle:

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Answer: A

Step-by-step explanation: I use synthetic division for problems like these:

-3 | 4 2 -18 38

     4 -10 12 2

Since -3 + 3 = 0, we use -3 in this process. Write out the coefficients in order separate from -3. Next, bring down the 4 and multiply -3 by 4 = -12. Add 2 and -12 = -10. Multiply -10 by -3 = 30. Add 30 to -18 to get 12. Multiply 12 and -3 = -36. Add -36 and 38 = 2

Answer:

A) 2

Step-by-step explanation:

correct answer on my test

Answer:

70.77

Step-by-step explanation:

Hope this helps

Answer:

The hypotenuse of this is 6

Step-by-step explanation:

Answer:

hypotenuse = 6

Step-by-step explanation:

For a right triangle, we know that sin (theta) = opposite / hypotenuse

sin 45 = 3 sqrt(2)/ hypotenuse

Multiply both side by hypotenuse

hypotenuse * sin 45 = 3 sqrt(2)

Divide by sin 45 on both sides

hypotenuse * sin 45/ sin 45 = 3 sqrt(2)/sin 45

hypotenuse = 3 sqrt(2)/sin 45

hypotenuse = 6

Answer: 4.875

Step-by-step explanation:

Starting fraction: 4  7/8

Make it mixed: 39/8

Now divide top by bottom: 4.875

X divided by 5 minus 4 =

The number . . . . . x

The quotient of the number and 5 . . . x/5

Four less than that . . . . . (x/5) - 4

Answer:

2/10 = 3/10, 2/5 = 4/10

For the given fractions, the pair of fractions are 6/20 and 4/10 ; 9/30 and 6/15 and this can be determined by using the arithmetic operations.

Given :

Fractions - 3/10 and 2/5

The following steps can be used to determine the pair of fractions:

Step 1 - Multiply 2 in the numerator and denominator in the given fractions.

[tex]\dfrac{3\times 2}{10\times 2}=\dfrac{6}{20}[/tex]    and   [tex]\dfrac{2\times 2}{5\times 2}=\dfrac{4}{10}[/tex]

Step 2 - Multiply 3 in the numerator and denominator in the given fractions.

[tex]\dfrac{3\times 3}{10\times 3}=\dfrac{9}{30}[/tex]    and   [tex]\dfrac{2\times 3}{5\times 3}=\dfrac{6}{15}[/tex]

In this way pair of fractions can be determined.

For more information, refer to the link given below:

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Answer:

8800 yards.

Step-by-step explanation:

To convert miles to yards, you must multiply the amount of miles by 1760.

Because there are 5 miles, multiply 5 by 1760.

[tex]5(1760)=8800[/tex]

Answer:

Step-by-step explanation:To figure this out you must first put the equation up.1760 yards are in a mile so you can do 1760*5=y Just multiply 1760 to 5 which should give you 8800.Hope this helps!!!!!!!Please mark brainliest!!!!!

Answer:

Maximum walking speed of camel is  31.749V feet per second

Step-by-step explanation:

Walking speed of an animal is given by :

Speed = 5.7VI (in feet per second) where l is the animal's leg length.

For a camel, leg length is 5.7feet.

So maximum walking speed of camel will be:

Speed of camel = 5.7V * 5.7 = 5.7² V feet per second

Speed of camel = 31.749V feet per second

hence, maximum walking speed of camel is  31.749V feet per second

The maximum walking speed for a camel with a leg length of 5.7 feet is calculated using the formula 5.7 x / (leg length) and is approximately 13.5945 feet per second.

The question asks us to calculate the maximum walking speed of a camel with a leg length of 5.7 feet using the formula provided, which is maximum speed = 5.7 x /(leg length). To find the camel's speed, we simply plug the leg length into the formula:

Maximum speed = 5.7 x / 5.7 = 5.7 x 2.385 = 13.5945 feet per second.

Thus, the maximum walking speed for a camel with a leg length of 5.7 feet is approximately 13.5945 feet per second.

Answer:

AB

Step-by-step explanation:

the shape is in the wrong place

Answer:

The theater is approximately 3.16 units from Sam's location.

Step-by-step explanation:

The distance between points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is given by:

[tex]d=\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^{2} }[/tex]

So, the distance of the theater from Sam's location is:

[tex]d=\sqrt{(-3-(-4) )^{2}+(5-2 )^{2} }[/tex]

[tex]=\sqrt{1^{2}+3^{2} }[/tex]

[tex]=\sqrt{10}[/tex]

= 3.16 approximately

Hence, the theater is approximately 3.16 units from Sam's location.

Answer: 112

112 dollars because 560 divided by 5 equals 112

Answer:

$112

Step-by-step explanation:

You are going to take your total and divide that by how many it is to get the single one your looking for if that makes sense..

560(total)/5(how many)=$112

Hope that helps feel free to ask more questions

Brainliest??

Answer:

B) 454.50

Step-by-step explanation:

-25.50 + 480.00 = 454.50

Answer:

454.50

Step-by-step explanation: