What is the perimeter of this red polygon?

Answer:

c/9+6=14

9c=14-6

9c=8

c=8:9

c=1.125

Step-by-step explanation:

After solving this c/(-9+6) = 14 equation we get c = -42. To solve the equation c/(-9+6) = 14, we first simplify the expression inside the parentheses. (-9 + 6) equals -3.  

Therefore, the equation becomes c/(-3) = 14. To isolate the variable c, we multiply both sides of the equation by -3. This gives us c = 14 * (-3), which simplifies to c = -42.

Hence, the solution to the equation is c = -42. Remember to follow the order of operations (PEMDAS/BODMAS) when simplifying expressions and be cautious when dealing with negative signs in equations.

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Answer:

10 5

Step-by-step explanation:

10 ÷ 2 = 5 and 5 + 10 = 15

Answer:

5 and 10

Step-by-step explanation:

X×Y=15

X=15-Y

X=Y/2

Y/2=15-Y

Add Y to both sides

3Y/2=15

3Y=30

Y=10

X=5

Answer:

5

Step-by-step explanation:

Answer: -41

Step-by-step explanation:

-7 × 5 = -35

-35 - 6 = -41

Answer:

-41

Step-by-step explanation:

Answer:

[tex]\large\boxed{u^2+5u-6=0,\ where\ u=(x+2)}[/tex]

Step-by-step explanation:

[tex](x+2)^2+5(x+2)-6=0\\\\\text{Substitute}\ (x+2)=u:\\\\\underbrace{(x+2)}_{u}^{}^2+5\underbrace{(x+2)}_{u}-6=0\\\\u^2+5u-6=0[/tex]

Answer:

The answer is C

Step-by-step explanation:

Use the distance formula Sqrt ( (x2-x1)^2 +(y2-y1)^2)

Distance = sqrt ( (-8 - -2)^2 +(4- -4)^2)

Distance = sqrt(-6^2 + 8^2)

Distance = sqrt ( 36 + 64)

Distance = sqrt(100)

Distance = 10

The length is 10

Answer: 10 units

Step-by-step explanation: took test hope this helps

Answer:

the scale factor is by what multiplier has a shape been increased by in size

The principal amount is 85227.27 and the interest is 64772.73.

Solution:

Given:

Amount (A)= 150000

Number of years (n)= 8

Rate of interest (r)= [tex]9\frac{1}{2}\%=\frac{19}{2}\%[/tex]

To find: The principal (P)

We know that the principal is the sum of amount and interest. That is, [tex]\bold{P+I=A}[/tex]

This can be written as [tex]\bold{I=A-P \rightarrow(1)}[/tex]

The formula of simple interest is [tex]\bold{I=\frac{Pnr}{100} \rightarrow(2)}[/tex]

On equating (1) and (2) we get,

[tex]\Rightarrow\bold{A-P=\frac{Pnr}{100}}[/tex]

On substituting the values we get,

[tex]\Rightarrow\bold{150000-P=\frac{P\times8\times19}{100\times2}}[/tex]

On solving we get,

[tex]\bold{\Rightarrow 150000-P=0.76P}[/tex]

On grouping the like terms together we get,

[tex]\bold{\Rightarrow 150000=0.76P+P}[/tex]

[tex]\bold{\Rightarrow 150000=1.76P}[/tex]

[tex]\bold{\Rightarrow P=\frac{150000}{1.76}}[/tex]

[tex]\bold{\Rightarrow P=85227.2727\approx85227.27}[/tex]

If principal is 85227.27, then the interest will be [tex]\bold{I=150000-85227.27\rightarrow64772.73}[/tex]

The area of the part of the tablecloth that hangs over the table is 285 square inches

Step-by-step explanation:

In order to find the area of table cloth that hangs over the table, we have to find the area of table and the total area of table cloth.

Given

Area of table = [tex]A_t = 2116\ in^2[/tex]

To find the side of the square

[tex]A_t = s^2\\s^2 = 2116[/tex]

Taking Square root on both sides

[tex]\sqrt{s^2} = \sqrt{2116}\\s = 46\ inches[/tex]

When the table cloth is hanged, 3 inches are left to hang over this means that the side will now be: 46+3 = 49 inches

The area of table cloth = [tex]A_c = 49*49 = 2401\ in^2[/tex]

The area of table cloth that will be hung over the table is:

[tex]A_c-A_t\\= 2401-2116\\= 285\ in^2[/tex]

Hence,

The area of the part of the tablecloth that hangs over the table is 285 square inches

Keywords: Square, side

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Answer:x=-11

Step-by-step explanation:

To ensure safe chlorine levels in the pool, the inequality |Cl - 3.25| ≤ 1.75 must be met, representing levels between 1.50 ppm and 5.00 ppm. The lifeguard found the level at 1.0 ppm, which is below the safe range, so more chlorine needs to be added.

Absolute Value Inequality for Chlorine Levels:

The county government specifies that a safe level of chlorine is within 1.75 ppm of 3.25 ppm. We can express this using an absolute value inequality to represent the acceptable range for the chlorine levels: |Cl - 3.25| ≤ 1.75. This represents that the chlorine level (Cl) can be at most 1.75 ppm above or below 3.25 ppm.

To solve this inequality, we consider both the upper and lower bounds:

Therefore, the chlorine level must be between 1.50 ppm and 5.00 ppm.

Analysis of the Chlorine Level Measurement:

As the lifeguard measures the chlorine level in the pool at 1.0 ppm, it falls below the acceptable range established by the inequality. Consequently, the lifeguard should add more chlorine to bring the concentration up to within the safe range, specifically, at least to the minimum safe level of 1.50 ppm.

Answer:

please show the figure

Step-by-step explanation:

Which figure lol looool

Answer:

Step-by-step explanation:

there's your graphed line
credits to desmos graphing calculator

Answer: [tex]\theta\approx1.78\ rad[/tex]

Step-by-step explanation:

By definition, the Arc lenght can be calculated with the following formula:

[tex]s=r\theta[/tex]

Where "s" is the Arc lenght, "r" is the radius and [tex]\theta[/tex] is the central angle measured in radians.

From that equation you can solve for [tex]\theta[/tex] dividing both sides of the equation by the radius "r", then:

[tex]\frac{s}{r}=\frac{r\theta}{r}\\\\\theta=\frac{s}{r}[/tex]

According to the information given in the exercise:

[tex]s=21.3\ in[/tex]

And you can identify in the figure that the radius of the circle is:

[tex]r=12\ in[/tex]

Therefore, you can substitute values into the equation:

[tex]\theta=\frac{21.3\ in}{12\ in}[/tex]

Finally, evaluating, you get the following result:

[tex]\theta=1.775\ rad[/tex]

Rounded to the nearest hundredth of a radian:

[tex]\theta\approx1.78\ rad[/tex]

If 24 people have the flue out of 360 people then out of 900, 60 people would have flue if solved through percentage.

It is a ratio expressed as a fraction of 100. it's expressed using the sign %.

The percentage of individuals gets affected from flue out of 360 is 24*100/360

=2400/360

=6.67%

Then per 6.67% out of 900 approx 60 (900*6.67%) people would be affected from flue.

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Answer:

there would be 100 flowers in basket a

Step-by-step explanation:

for the second part of the ratio to be 40 you have to multiply the 2 by 20. to find out how many would be in basket a you do the same thing to the other side of the ratio and multiply 5 by 20 which gives you 100

Amanda must spend more than 8 minutes on Routine #1 to burn more calories than Routine #2.

Step-by-step explanation:

Routine # 1;

Calories burned in running = 15.5 per minute

Let,

t be the minutes spent running.

T = total calories burned

T = 15.5t

Routine # 2;

Calories burned while walking = 22 calories

Calories burned while running = 12.75 per minute

T = 12.75t + 22

For burning more calories in Routine 1;

Routine 1 > Routine 2

[tex]15.5t>12.75t+22\\15.5t-12.75t>22\\2.75t>22\\[/tex]

Dividing both sides by 2.75

[tex]\frac{2.75t}{2.75}>\frac{22}{2.75}\\t>8[/tex]

Amanda must spend more than 8 minutes on Routine #1 to burn more calories than Routine #2.

Keywords: linear inequality, division

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Answer:

44

Step-by-step explanation:

10 + 12 + 4 + 4 + 6 + 8 = 44

The perimeter of the figure is 26 inches.

The perimeter of the figure is the total length of all the sides. To calculate the perimeter, we simply add up the lengths of all the sides:

Perimeter = 6in + 4in + 4in + 12in

Perimeter = 26in

Therefore, the perimeter of the figure is 26 inches.

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Jones family will travel for 311 miles on day 1 , 511 miles on day 2 and 236 miles on day 3.

It is given that on day 2 , Jones family travel for 200 miles more than day 1 and on day 3 for 75 miles less than day 1.

We have to find out distance travelled on each day of trip if total distance of trip is 1058 miles.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.

As per the questions ;

Jones family has a trip of 3 days.

Let's assume they travel distance of x miles on first day.

Distance they will travel on second day = x + 200 miles

Distance they will travel on third day = x - 75 miles

Total distance of trip = 1058 miles

i.e.,

x + (x + 200) + (x - 75) = 1058 miles

3x + 125 = 1058

3x = 1058 - 125

3x = 933

x = 311 miles

So , they travel for a distance of 311 miles on day 1.

&

On day 2 ;

= 311 + 200

= 511 miles

&

on day 3 ;

= 311 - 75

= 236 miles

Thus , Jones family will travel for 311 miles on day 1 , 511 miles on day 2 and 236 miles on day 3.

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Answer:

17

Step-by-step explanation:

50

Hello there i hope you are having a good day :) Your question : The sum of twice a number and half the number is 10.

Answer would be : 2x + x/2 = 10

Hopefully that helps you ❤

Answer:

2x+x/2 = 10

Step-by-step explanation:

x is the unknown value.

2x would be used to represent the unknown value of twice that number.

/2 would be used to represent half the number.

Hope this helps you!

The company should sell each widget for $28.25, to the nearest cent.

To maximize profit, we need to find the vertex of the parabola represented by the profit equation y = -2x^2 + 113x - 497. Since the coefficient of x^2 is negative, the parabola opens downwards, and the vertex represents the maximum point. The x-coordinate of the vertex of a parabola in the form of y = ax^2 + bx + c can be found using the formula -b/2a.

For the equation y = -2x^2 + 113x - 497, a = -2 and b = 113. Plugging these values into the formula gives us: x = -113 / (2 × -2) = -113 / -4 = 28.25. Therefore, to maximize profit, the company should sell each widget for $28.25, to the nearest cent.

Answer:

the given statement is true.

Step-by-step explanation:

i) It is given that the base angles of an isosceles triangle each measure 37°.

ii) Adding the values of the base angles is = 37° + 37° = 74°

iii) from the property of triangles we know that the sum of all the angles in a triangle is equal to 180°

iv) let the vertex angle be = y°

v) Therefore we can say from ii), iii) and iv) above that

      74° + y° = 180°

vi) therefore the vertex angle y = 180° - 74° = 106°

Hence the given statement is true.

Answer:

0.515

Step-by-step explanation:

10 to the 3rd power is 10^3 = 1000 bricks.

The weight of the full truck minus the weight of the empty truck is the weight of the bricks:

6755-6240 = 515 pounds of bricks

Pounds per brick:

515 / 1000 = .515 pounds per brick.

[tex]\frac{-1}{18}[/tex]

Solution:

Given expression is [tex]\frac{y}{3}=-6[/tex]

To find the inverse of y.

⇒ [tex]\frac{y}{3}=-6[/tex]

Do cross multiplication.

⇒ y = –6 × 3

⇒ y = –18

Inverse of y means reverse the function.

We know that inverse of y is [tex]\frac{1}{y}[/tex].

⇒ [tex]\frac{1}{y}= \frac{-1}{18}[/tex]

Hence, inverse of y is [tex]\frac{-1}{18}.[/tex]

Meredinth takes 24 minutes to reach her friend house

Solution:

Given that, Meredith lives 24 blocks from her friends house

She travels one block every minute

To find: time taken by Meredith to reach friend house

From given,

Number of blocks between Meredith house and her friedn house = 24

She travels one block every minute

Thus she takes 1 minute for 1 block

One block = 1 minute

So, for 24 blocks, we have to multiply by 24

[tex]24\ block = 1 \times 24\ minute\\\\24\ block = 24\ minute[/tex]

Thus Meredinth takes 24 minutes to reach her friend house

Answer:

The Three expressions that have a sum or difference of 3 /4 .

B . 11/12 − 1/6

C. 3/5 + 3/20

E . 2/3 + 1/12

Step-by-step explanation:

The Three expressions that have a sum or difference of 3 /4 .

are

B . 11/12 − 1/6

[tex]\dfrac{11}{12}-\dfrac{1}{6}=\dfrac{11}{12}-\dfrac{1\times 2}{6\times 2}\\\\\dfrac{11}{12}-\dfrac{1}{6}=\dfrac{11}{12}-\dfrac{2}{12}=\dfrac{11-2}{12}=\dfrac{9}{12}=\dfrac{3}{4}[/tex]

Therefore,

[tex]\dfrac{11}{12}-\dfrac{1}{6}=\dfrac{3}{4}[/tex]

C. 3/5 + 3/20

[tex]\dfrac{3}{5}+\dfrac{3}{20}=\dfrac{3\times 4}{5\times 4}+\dfrac{3}{20}\\\\\dfrac{3}{5}+\dfrac{3}{20}=\dfrac{12}{20}+\dfrac{3}{20}=\dfrac{15}{20}=\dfrac{3}{4}[/tex]

Therefore,

[tex]\dfrac{3}{5}+\dfrac{3}{20}=\dfrac{3}{4}[/tex]

E . 2/3 + 1/12

[tex]\dfrac{2}{3}+\dfrac{1}{12}=\dfrac{2\times 4}{3\times 4}+\dfrac{1}{12}\\\\\dfrac{3}{5}+\dfrac{3}{20}=\dfrac{8+1}{12}=\dfrac{9}{12}=\dfrac{3}{4}[/tex]

Therefore,

[tex]\dfrac{2}{3}+\dfrac{1}{12}=\dfrac{3}{4}[/tex]

Expressions B (11/12 − 1/6), C (3/5 + 3/20), and E (2/3 + 1/12) each simplify to a sum or difference of 3/4 after finding a common denominator and simplifying the fractions.

To find 3 expressions that have a sum or difference of 3/4, let's evaluate each option given:

Therefore, the three expressions that have a sum or difference of 3/4 are B, C, and E.

Answer:

-60

Step-by-step explanation:

9+x/9=7/3

x/9=7/3-9

x/9=7/3-27/3

x/9=-20/3

x=(-20/3)(9)

x=-180/3

x=-60