Hey! Could anyone solve this problem for me in a step-by-step explanation? If so, thank you! (ASAP!!)

Given :

Terry increased the size of his rectangular garden this summer. He increased to length by 50% and the width by 20%.

To Find :

By what percentage has his garden changed with these changes.

Solution :

Let, initial length and breadth is x and y.

So, initial area = xy .

Size after increasing them :

y' = y + 0.50y

y' = 1.5y

x' = x + 0.2x

x' = 1.2x

Final area = (1.5y)(1.2x) = 1.8xy

So, percentage increase is :

[tex]= \dfrac{new-original}{original }\times 100\%\\\\= \dfrac{1.8xy -xy}{xy }\times 100\\\\=80 \%[/tex]

Therefore, percentage increase in are is 80%.

Hence, this is the required solution.

Answer:

13. B

14. non-proportional

15. y = 4x+35

Answer:

Answer is 50g/cm^3

Step-by-step explanation:

soln,

Volume of the gold cube = 9 cm^3

Mass of the gold cube = 450 g

now,

density= mass/volume

=450 / 9

=50 g/cm^3

{Therefore, the density of the gold cube is 50 g/cm^3.}

Answer:

x = 8

y = 5

Step-by-step explanation:

Let

x and y = the two positive numbers

a. 3x + 2y = 34 (1)

b. 1/2x + 2y = 14 (2)

Solve the simultaneous equation

3x + 2y = 34 (1)

1/2x + 2y = 14 (2)

Subtract (2) from (1)

3x - 1/2x = 34 - 14

6x-x/2 = 20

5/2x = 20

x = 20 ÷ 5/2

= 20 × 2/5

= 40/5

= 8

x = 8

Substitute x = 8 into (1)

3x + 2y = 34 (1)

3(8) + 2y = 34

24 + 2y = 34

2y = 34 - 24

2y = 10

y = 10 / 2

= 5

y = 5

Diego's two numbers are 8 and 5 respectively

Answer:

yo mamma

Step-by-step explanation:

get noob

answer:

4.5 tsp

explanation:

ok so 10 raspberry muffins need 1 1/4 tsp of baking powder so we can represent it like this:

10:1 1/4

then it asks how many tsp of baking powder is needed to make 3 dozens or 36 muffins

the amount of baking powder=x

so,

10:1 1/4=36:x

then you cross multiply,

10x=1 1/4*36

10x=45

x=4.5

Answer:

4th and 5th option

Step-by-step explanation:

you can easily add eqn 1 and 2 to get rid of the y term for 4th option and get rid of x term by addition as well for the 5th option

this is a topic on simultaneous equation. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting the notes for this topic and some other tips :)

Answer:

the last two

Step-by-step explanation:

1. always

2. never

3. never

4. 6

When simplified completely, the product of a monomial and a monomial will be a monomial. Then the correct option is A.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

Let's check all the options, then we have

A.  When simplified completely, the product of a monomial and a monomial is a monomial.

⇒ a × b

⇒ ab

B.  When simplified completely, the product of a monomial and a binomial is a trinomial.

⇒ (a)(b + c)

⇒ ab + ac

C.  When simplified completely, the product of a binomial and a binomial is a monomial.

⇒ (a + b)(c + d)

⇒ ac + ad + bc + bd

D.  Before being simplified completely, the product of a binomial and a trinomial has terms.

⇒ (a + b)(c + d + e)

⇒ ac + ad + ae + bc + bd be

When simplified completely, the product of a monomial and a monomial will be a monomial. Then the correct option is A.

More about the polynomial link is given below.

https://brainly.com/question/17822016

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Answer:

I agree with both of them because they are both correct

Step-by-step explanation:

See attachment for complete question;

Slope (m) is calculated using the following formula:

[tex]m = \frac{Rise}{Run}[/tex]

Where

[tex]Rise = Vertical\ Distance[/tex]

[tex]Run = Horizontal\ Distance[/tex]

From the attachment, we have the following:

Triangle A

[tex]Rise = 6\ units[/tex]

[tex]Run = 4\ units[/tex]

So:

[tex]m = \frac{Rise}{Run}[/tex]

[tex]m = \frac{6}{4}[/tex]

In this case, Mai is correct:

Triangle B

[tex]Rise = 1.5\ units[/tex]

[tex]Run = 1\ units[/tex]

So:

[tex]m = \frac{Rise}{Run}[/tex]

[tex]m = \frac{1.5}{1}[/tex]

[tex]m = 1.5[/tex]

In this case, Elena is also correct:

Answer:

The necklace will be 4,000 cm long

Step-by-step explanation:

Here we want to calculate the length of the necklace

Mathematically, that would just be the product of the beads and the diameter of each bead

Hence, we have

10,000 * 0.4 = 4,000 cm

Answer:

$4000 in product sales

Step-by-step explanation:

[tex]\frac{40}{500} =\frac{320}{x} = 4000[/tex]

Answer:

$4000

Step-by-step explanation:

i) Calculate if $1 = ? commission

500/40 = $12.5

$1 = $12.5 commission

ii) If the commission $320,

320×12.5=4000

His product sales need to be $4000

Answer:

5x + 22=

Step-by-step explanation:

8x+13-3x+9

Combine like terms.

8x-3x=5x

13+9=22

Piece it back together.

5x+22

And there you have it. Hope it helps! :3

9514 1404 393

Answer:

  A(n) = 5 +3(n -1)

Step-by-step explanation:

The first term is ...

  A(1) = 5

The common difference is ...

  d = 8 - 5 = 3

Then the desired formula is ...

  A(n) = A(1) +d(n -1)

  A(n) = 5 +3(n -1)

Answer:

you have  to divide 12 by 15

Step-by-step explanation:

First do the inside function then use the answer for the outer function

Answer: 60 pizzas

Step-by-step explanation:

From the question, we are informed that the student council plan to order 2 cheese pizzas for every 3 pepperoni pizzas they order.

Since 36 pepperoni pizzas are ordered for the dance, the number of cheese pizzas ordered will be:

= 36 × 2/3

= 24 cheese pizzas

The total pizza ordered will now be:

= Cheese pizzas + Pepperoni pizzas

= 24 + 36

= 60 pizzas

Answer:

60

Step-by-step explanation:

60 trust me

Answer:

X=13. y=5 AC=20

Step-by-step explanation:

To do this we first have to find the value of x... giving the fact that DE is a mid segment, We know that the length of BC is double the length of DE this means that the length of BC equals 16. So, to equal 16 x will have to equal 13 so 13 + 3 = 16. Now we will find the value of y. We do this by looking at the length of ae and ec. AE equals EC so now that we know x equals 13 we can do 13 minus 3 equals 10 for AE. since EC has to equal 10 we can do 10 minus 5 which equals 5. We now know that y equals 5. We can now add this all up to find the length of AC. We would do 10 + 10 = 20. Hope this helps!

The length of AC from the diagram is 25

To get the value of x and y, we will use the similarity theorem of a triangle

BC = 2DE

x + 3 = 2(8)

x + 3 = 16

x = 16 - 3

x = 13

Hence BC = 16

From the given figure;

AE/DE = AC/BC

x-3/8 = (x-3+y+5)/x+3

10/8 = 15+y/13

130 = 8(15+y)

130 = 120 + y

y  = 10

Get the length of AC

AC = 13-3+10+5

AC = 25

Hence the length of AC from the diagram is 25

Learn more here: https://brainly.com/question/23961310

Answer:

3.4 kg

0.06 kg

Step-by-step explanation:

Given that:

Birthweight follows a normal distribution :

Mean weighf (m) = 3.4 kg

Standard deviation (σ) = 0.6 kg

Sample size (n) = 100 new born babies

calculate the sample mean birth weight for each sample. Calculate the mean and standard deviation of the sampling distribution

The sample mean birth weight = population mean birth weight for a normal distribution according to the central Limit theorem.

Hence, sample mean birth weight = 3.4kg

Standard deviation of sampling distribution = standard error = σ/√n

0.6 / √100

= 0.6 / 10

= 0.06 kg

Using the Central Limit Theorem, it is found that:

In this problem:

Hence, the mean of the sampling distribution is of 3.4 kg and the standard deviation is of 0.06 kg.

To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/24663213

Answer:

Staples

Step-by-step explanation:

5.69/25<1.25/4

Answer:

Target

Step-by-step explanation:

Buying let's say you buy 4 packs close to the amount of Staples you'd get 16 pencils.

(ps sorry if I'm wrong lol)

Answer: g(x) = f(2x) = 4(2x)-6= 8x-6 => c

Step-by-step explanation:

Answer:

One of the below.

Step-by-step explanation:

12-2=10      2+x=12    

Answer:

Step-by-step explanation:

yes, both are congruent by SAS Postulate

<SQP=<SQR  (common in both (construction))

QS=QS (common side in both angle)

QP=QR ( as given)

hence, QPS=QRS

by SAS postulate

By SAS postulate Δ QSP ≅ Δ QSR.

The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

When two angles and the included side of one triangle are equal to two angles and the included side of another triangle, two triangles are said to be congruent.

Given:

In Δ QSP and Δ QSR

<SQP=<SQR  (common in both (construction))

QS=QS (common side in both angle)

QP=QR ( as given)

So, by SAS postulate Δ QSP ≅ Δ QSR.

Learn more about Congruence rule here:

https://brainly.com/question/7888063

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Answer:

The length of FG is 2.

Step-by-step explanation: B and F are the same point, just reflected, so BC=FG.

Answer:

560

Step-by-step explanation:

1=160

2=320

3=480

4=640

5=800

6=960

7=1120

8=1280

9=1440

JUST ADD 160 EACH TIME

hope this is what your looking for   :)

Answer: d + 0.055d or 1.055d

Step-by-step explanation:

Cost of item = d

Sales tax percent = 5.5%

Total cost = Cost of item + Sales tax

= d + (5.5% × d)

= d + (5.5/100 × d)

= d + (0.055 × d)

= d + 0.055d

= 1.055d

Therefore, the expression that represents the total cost of the item, in dollars and cents, after tax will be:

d + 0.055d or 1.055d.

Answer:

The number of cases to be purchased is 2.

Step-by-step explanation:

Giving the following information:

World's Finest Coffee (Decaf) is sold by the case where one case contains 48 6-ounce packages.

First, we need to calculate how many pounds are in each case.

1 pound = 16 ounces

1 case= (48*6)/16

1 case= 18 pounds

Now, the number of cases required each month:

36 pounds = 18*x

x= number of cases

x= 36/18

x= 2

The number of cases to be purchased is 2.

Answer:

Look for the y-intercept where the graph crosses the y-axis. Look for the x-intercept where the graph crosses the x-axis. Look for the zeros of the linear function where the y-value is zero.

Step-by-step explanation:

Answer:

9 cookies in her original handful

Step-by-step explanation:

3 times 4 equals 12

12-3=9

Answer:

b

Step-by-step explanation: