The length of a rectangle is 2 ft longer than its width.
If the perimeter of the rectangle is 56 ft, find its length and width.

Step-by-step explanation:

Area of a parallelogram = Base × Height

=16 cm × 26 cm

=416 cm²

Answer:

9. -1

First combine the like terms (-5x and 3x), the move -9x to the other side. That equals 7x. Then move -16 (turn positive) and add it to -23, that equals -7. Divide both sides by 7.

10. 9

Add 1 to -24. Then move -23(turn positive) to the other side. Combine with -5 and you get 18. Then move 6r and subtract it from 8r. Divide both sides by 2.

11. 11

Subtract 7a from 9a= 2a. then add 3a and 2a and move 5a to the other side. Add -5a and 2a = -3a. Divide both sides by -3.

12. 5

Combine the like terms. Move -25 and turn it positive and then add it to 20= 45. Turn -2m positive and add it to 7m. Divide both sides by 9.

13. -5

Use the distributive property on both sides. Move 2k and subtract it from 4k= 2k. Move -8 and add it to -18= -10. Divide both sides by 2.

14. -2

Use the distributive property. Move -5n and add it to -6m= -m. Move 18 and subtract it from 20= 2. Divide both sides by -1.

15. -3

Use the distributive property and combine like terms. Move 4p to the other side and subtract from -7p= -11p. Change the sign of 16 and add to 17= 33. Divide both sides by -11.

16. -13

Use the distributive property (pay attention to signs) and combine the like terms. Move -8v, turn positive, and add to -6v= 2v. Move 14, turn negative, and combine with -12= -26. Divide both sides by 2.

Answer:

[tex] \frac{1}{3} (2x - y) = z \\ \frac{2}{3} x - \frac{y}{3} = z \\ \frac{2}{3} x = z + \frac{y}{3} \\ \frac{2}{3} x = \frac{3z + y}{3} \\ x = \frac{3z + y}{3} \div \frac{2}{3} \\ x = \frac{3z + y}{3} \times \frac{3}{2} = \frac{3(3z + y)}{6} \\ \\ x = \frac{3z + y}{2} \\ \\ x = \frac{3z}{2} + \frac{y}{2} [/tex]

I hope I helped you^_^

Answer:

I have ans in the picture form.

Step-by-step explanation:

Take it

Answer:

Step-by-step explanation:

16. Use Euclid Perfect Number formula:

If [tex]2^{n} -1[/tex]a a prime number, then [tex]2^{n-1}(2^{n} -1)[/tex] is a perfect number. 6 is a perfect number when n=2 Let try when n=3

[tex]2^{2} (7)=28[/tex]

So 28 is a perfect number

Answer and Step-by-step explanation:

To find out the answer, we need to first find how much money it is to buy 1 kg of almonds.

So, do 34 divided by 4.

[tex]\frac{34}{4} = 8.5[/tex]

Now, multiply 8.5 by 5.

8.5 × 5 = 42.5

The cost for 5 kilograms of almonds is $42.5

#teamtrees #PAW (Water And Plant)

I hope this helps!

Answer:

33

Step-by-step explanation:

608pages/16h = 33pages/h

The median of that data set is 9.

Sort the numbers from least to greatest and find the middle number (that should be your median)

If there are 2 numbers in the middle of the set, then you take the average and that would be your median.

Answer:

A

Step-by-step explanation:

I'm not sure 100% but i hope this still helps a little

Answer:

GI=15

Step-by-step explanation:

GI=HI+GH

GI=12+3= 15

I hope I helped you^_^

Hi! I'm happy to help.

To solve this we need to know what is happening. This line segment was split into two parts by H. GH (part 1) and HI (part 2).

These two parts together equal the total length of the line segment. We learn that GH is 3, and HI is 12.

12+3=15

Now, we know that GI has a length of 15.

I hope this was helpful, keep learning! :D

a.yes

Step-by-step explanation:

a.angle BCD =b because angle BCD is alternate angle of angle ABC

b.the two angles angle BAC and angle ACD is co-interior angle because they are inside a parallel line

Answer:

Step-by-step explanation:

They are diffrent values

Answer:

a= 1 , b= 3 , c= –3

[tex]x = \frac{ - b \frac{ + }{} \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - 3 \frac{ + }{} {} \sqrt{ {3}^{2} - 4(1)( - 3)} }{2(1)} \\ = \frac{ - 3 \frac{ + }{} \sqrt{9 + 12} }{2} = \frac{ - 3 \frac{ + }{} \sqrt{21} }{2} \\ \\ x = \frac{ - 3 \frac{ + }{} \sqrt{21} }{2} \\ \\ x = 0.79 \\ x = - 3.79[/tex]

I hope I helped you^_^

Answer:

m = -18

Step-by-step explanation:

6 + m/2 = -3

Subtract 6 from each side

6 + m/2 -6 = -3-6

m/2 = -9

Multiply each side by 2

m/2 * 2 = -9*2

m = -18

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{6+ \dfrac{m}{2}=-3}}}\\\huge\boxed{\rightarrow\mathsf{6 + \dfrac{1}{2}m = -3}}[/tex]

[tex]\huge\boxed{\rightarrow \mathsf{\dfrac{1}{2}m+ 6 = -3}}\\\\\huge\boxed{\text{SUBTRACT 6 to BOTH SIDES}}\\\huge\boxed{\mathsf{\dfrac{1}{2}m + 6 - 6 = -3 + 3}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m = -9}}[/tex]

[tex]\huge\boxed{\text{MULTIPLY 2 to BOTH SIDES}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m \times 2 = 2 \times -9}}[/tex]

[tex]\huge\boxed{\mathsf{m = 2\times-9}}\\\huge\boxed{\mathsf{2\times-9 = m}}\\\huge\boxed{\mathsf{2\times-9 = \bf -18}}\\\\\huge\boxed{\textsf{Therefore, your answer: \bf -18}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

We have that the distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as

From the Question we are told that

[tex]PQ=(50-10)=40\\\\QR=(80-10)70[/tex]

Generally the equation for the Resultant PR is mathematically given as

[tex]PR=\sqrt{PQ^2+QR^2}\\\\PR=\sqrt{70^2+40^2}\\\\PR=80yd[/tex]

a)

Generally the equation for the Distance around they park is mathematically given as

[tex]X=PQ+QR+PR\\\\X=80+70+40\\\\[/tex]

[tex]X=190yd[/tex]

b)

Generally the equation for the Path QM is mathematically given as

From the diagram we see that

[tex]QM=PM=MR\\\\QM=\frac{80}{2}\\\\[/tex]

[tex]QM=40yd[/tex]

c)

From the question we are told

Average speed of [tex]150yd/m[/tex]

Total distance traveled

[tex]D_t=40+40+40+70+40\\\\D_t=230yd[/tex]

Therefore

Time

[tex]T=\frac{D_t}{V}\\\\T=\frac{230}{150}[/tex]

[tex]T=1.5minutes.[/tex]

in conclusion

The distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as

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Answer:

13

Step-by-step explanation:

3x13-4=35 Hope this helps

Step-by-step explanation:

Hope it helps.

Thank you

Answer:

9 3/4

Step-by-step explanation:

First you would want to multiply the whole number with their denominators and then add the numerator to that. 2*6+1 and 4*2+1  Then you keep the original denominator at the bottom of the fraction.

2*6+1/6  4*2+1/2 ---> 13/6 x 9/2

You would then simplify the crossing numbers 6 and 9. They both can be divided by three.

13/2 x 3/2 = 39/4

Now you would do long division where you divide 39 by 4

4 goes into 39 nine times subtracting 36 from 39.

You then end up with 1 which becomes you numerator, 4 is the new denominator and 9 is the whole number.

The answer of the given mixed numbers 2 1/6 x 4 1/2 is 9 3/4.

A mixed number is a whole number, and a proper fraction represented together. It generally represents a number between any two whole numbers.

You should first multiply the entire number by the denominators of the other numbers, and then add the numerator to that result. 2*6+1 and 4*2+1 The original denominator is then kept at the bottom of the fraction.

(2*6+1)/6 x ( 4*2+1)/2 —-> 13/6 x 9/2

Next, you would streamline the intersection of numbers 6 and 9. They are both divisible by three.

13/2 x 3/2 = 39/4

You would now perform a long division by dividing 39 by 4.
4 multiplies 39 by 9 and subtracts 36 from 39.

In the end 3 becomes the numerator, 4 becomes the new denominator, and 9 is the total.

Therefore, 2 1/6 x 4 1/2 = 9 3/4.

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Answer:

1. [tex]\sqrt{218}[/tex]

2. [tex]\sqrt{89}[/tex]

3. [tex]2\sqrt{17}[/tex]

Step-by-step explanation:

The formula to find the distance between any two points on a coordinate plane is as follows:

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

Where ([tex](x_1,y_1)[/tex]) and ([tex](x_2,y_2)[/tex]) are the two points one is trying to find the distance between. Substitute the points in and solve for the distance between them for each respective problem.

1.

Points: [tex](-4, 6),\ \ (3, -7)[/tex]

Substitute into the formula,

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]D=\sqrt{((-4)-(3))^2+((6)-(-7))^2}[/tex]

Simplify,

[tex]D=\sqrt{((-4)-(3))^2+((6)-(-7))^2}[/tex]

[tex]D=\sqrt{(-4-3)^2+(6+7)^2}[/tex]

[tex]D=\sqrt{(-7)^2+(13)^2}[/tex]

[tex]D=\sqrt{49+169}[/tex]

[tex]D=\sqrt{218}[/tex]

2.

Points: [tex](-6, -5)\ \ (2,0)[/tex]

Substitute into the formula,

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]D=\sqrt{((-6)-(2))^2+((-5)-(0))^2}[/tex]

Simplify,

[tex]D=\sqrt{((-6)-(2))^2+((-5)-(0))^2}[/tex]

[tex]D=\sqrt{(-6-2)^2+(-5-0)^2}[/tex]

[tex]D=\sqrt{(-8)^2+(-5)^2}[/tex]

[tex]D=\sqrt{64+25}[/tex]

[tex]D=\sqrt{89}[/tex]

3.

Points: [tex](-1, 4)\ \ (1,-4)[/tex]

Substitute into the formula,

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]D=\sqrt{((-1)-(1))^2+((4)-(-4))^2}[/tex]

Simplify,

[tex]D=\sqrt{((-1)-(1))^2+((4)-(-4))^2}[/tex]

[tex]D=\sqrt{(-1-1)^2+(4+4)^2}[/tex]

[tex]D=\sqrt{(-2)^2+(8)^2}[/tex]

[tex]D=\sqrt{4+64}[/tex]

[tex]D=\sqrt{68}[/tex]

[tex]D=2\sqrt{17}[/tex]

Step-by-step explanation:

[tex]thank \: you[/tex]

Answer:

3^10

Step-by-step explanation:

(3²)⁵

We know that a^b^c = a^(b*c)

(3²)⁵ = 3^(2*5)

= 3^10

Answer:

59,049

Step-by-step explanation:

(3^2)^5

~Use power rule

3^10

~Simplify

59,049

Best of Luck!

The simple interest rate need by Teri will be 4%.

Step-by-step explanation:

Given:

Teri has $125,000 to deposit in his accounts so that he gets $200,000 in 16 years along with the simple interest.

To find:

The simple interest rate needed to grow $125,000 into $200,000 in 16 years.

Solution:

The principle amount Teri has = P = $125,000

The total amount Teri wants to have in 16 years = A = $200,000

The simple interest that will Teri earn = S.I

[tex]S.I= A - P =\$200,000-$125,000=\$ 75,000[/tex]

The rate of interest per year = R

The time for which money is deposited = T = 16 years

The simple interest is calculated by the formula:

[tex]S.I=\frac{P\times R\times T}{100}\\\$75,000=\frac{\$125,000\times R\times 16}{100}\\R=\frac{$75,000\times 100}{$125,000\times 16}=3.75\% \approx 4\%[/tex]

The simple interest rate need by Teri will be 4%.

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Simple interest rate (R) is 3.75%

Given:

Amount deposit as saving (P) = $125,000

Number of year (n) = 16 year

Amount needed (A) = $200,000

Find:

Simple interest rate (R)

Computation:

Amount of interest (I) = A - P

Amount of interest (I) = 200,000 - 125,000

Amount of interest (I) = 75,000

So,

I = (P)(R)(T)

75,000 = (125,000)(R)(16)

75,000 = 2,000,000(R)

R = 75,000 / 2,000,000

R = 0.0375

Simple interest rate (R) = 3.75%

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Answer:

that answer is (1)

hope that helps you

9514 1404 393

Answer:

  1

Step-by-step explanation:

You can put either number in the form of the other to see they are equal. A number divided by itself gives a quotient of 1.

  -1 1/10 = -(10·1 +1)/10 = -11/10 . . . . . matches the denominator

or

  -11/10 = -1 1/10 . . . . . matches the numerator

__

  (-11/10)/(-11/10) = 1 . . . . your quotient

_____

Additional comment

Here, we see that both numbers in the problem are negative, so we have an even number of minus signs. That means the quotient will be positive. Knowing this lets us eliminate the minus signs from the problem.

As you may know, there are a couple of (fully equivalent) ways to divide fractions.

1) "invert and multiply" or "dot swap"

  (11/10) ÷ (11/10) = (11/10) · (10/11) . . . . . . . the denominator has been inverted

  = (11·10)/(10·11) = 110/110 = 1

2) use the numerators when the denominators are equal.

  (11/10) / (11/10) = 11/11 = 1 . . . . denominators of the fractions are both 10

Answer as a Fraction: -2/5

Step-by-step explanation:

-0.4 = -4/10

       = -2/5

Answer:

The answer is 2. It is the commutative property of addition. This states that the order of numbers does not matter in addition or multiplication. As long as all the numbers are there, it will give the same answer :)

Step-by-step explanation:

Answer:

honestly, the graph look totally fine...

If one ere pressed to find something to complain about it, one could suggest that  you do not know if this was the starting price of the stock or the ending price of the stock each day?... One could also argue that to be a bit more meaningful you might want to know the range of prices during each day...

look up what is called a candle stick graph.. each day looks like a candlestick... the top is the highest value each the bottom the lowest, and there is a line in the candle that  shows the closing price

Step-by-step explanation:

The cube root of 27 is 3!!

Answer:

97

Step-by-step explanation:

388 (number of tickets) / 4 (number of groups (adults, and the 3 times as many kids))

If the number of student tickets sold was three times the number of adult tickets sold, 97 adult tickets were sold.

Let's assume the number of adult tickets sold is 'x.'

According to the information given, the number of student tickets sold was three times the number of adult tickets sold. So, the number of student tickets sold is 3x.

The total number of tickets sold is the sum of the adult and student tickets, which is 388:

x + 3x = 388

Now, combine like terms:

4x = 388

To find the value of 'x,' divide both sides of the equation by 4:

x = 388 / 4

x = 97

To verify the result, let's find the number of student tickets:

Number of student tickets = 3 * 97 = 291

Now, let's add the adult and student tickets:

97 (adult) + 291 (student) = 388

The result checks out, and we have 97 adult tickets and 291 student tickets, which together sum up to the total of 388 tickets sold for the school play.

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Answer:

y=5-2x

2 5-2(2)=5-4=1

0 5-2(0)=5

4 5-2(4)=5-8=-3

Answer:

27 square are there in the given figure