Please help me with this

Please Help Me With This

Answers

Answer 1

The perimeter of the rectangle:

[tex]P_R=2(4x+2+2x)=2(6x+2)=(2)(6x)+(2)(2)=12x+4[/tex]

The perimeter of the square:

[tex]P_S=2(5x-3+3x+1)=2(8x-2)=(2)(8x)+(2)(-2)=16x-4[/tex]

The perimeter of the rectangle is equal to the perimeter of the square. We have the equation:

[tex]12x+4=16x-4\qquad|\text{subtract 4 from both sides}\\\\12x=16x-8\qquad|\text{subtract 16x from both sides}\\\\-4x=-8\qquad|\text{divide both sides by (-4)}\\\\x=2[/tex]

The side lengths of the square:

[tex]5x-3\to5(2)-3=10-3=7[/tex]

The side lenghts of the rectangle:

[tex]4x+2\to4(2)+2=8+2=10\\2x\to2(2)=4[/tex]

Other method.

If the first figure is a square, then the length of the sides are equal.

Therefore

[tex]5x-3=3x+1\qquad|\text{add 3 to both sides}\\\\5x=3x+4\qquad|\text{subtract 3x from both sides}\\\\2x=4\qquad|\text{divide both sides by 2}\\\\x=2[/tex]

Further part of the solution as above.


Related Questions

Does 14.2857143 round to a whole number

Answers

anything can be rounded, since the .2 is below 5, you round down. the number can simply be rounded to 14

which of the following graphs represents the equation y+2=3(x-1)

Answers

For this case we have the following equation, in a linear way:

[tex]y + 2 = 3 (x-1)[/tex]

This expression can be written in the form [tex]y = mx + b[/tex]

Where "m" is the slope and "b" is the cut point with the y axis.

Rewriting the given expression we have:

[tex]y + 2 = 3x-3\\y = 3x-3-2\\y = 3x-5[/tex]

Thus, the slope is 3 and the cut point is -5.

To graph, we must find two points through which the line passes, so, we perform the following steps:

Step 1:

We do [tex]x = 0[/tex]

[tex]y = 3 (0) -5\\y = 0-5\\y = -5[/tex]

Thus, the point [tex](x1, y1) = (0, -5)[/tex]

Step 2:

We do[tex]y = 0[/tex]

[tex]0 = 3x-5\\5 = 3x[/tex]

[tex]x =\frac{5}{3}[/tex]

Thus, the point [tex](x2, y2) = (\frac{5}{3},0)[/tex]

Answer:

See attached image


Answer:

B

AND THE NUMBERS ARE (0,3)IS UP AND (1,1) ARE DOWN

WISH THAT HELP

سبحان الله ,الحمدالله ,الله اكبر

Numbers that are real or imaginary

Answers

An imaginary number is a complex numberthat can be written as a real numbermultiplied by the imaginary unit i

Hope this helped!

Not quite sure how to find out if these are functions or not

Answers

number 5 is not and number 7 is a function because every input has exactly one output

What is the greatest common factor of 24 and 84? A. 6 B. 12 C. 20 D. 24

Answers

The greatest common factor for these two numbers is 6 because if you divide 24 by 6 you get 4 and if you divide 84 by 6 you get 14.

the greatest common factor is 6

a sum of money was divided in the ratio 5:7. if the smaller amount was sh. 450, calculate the larger amount

Answers

larger amount = 630

the smaller amount, that is 5 parts is 450

divide 450 by 5 to find 1 part of the ratio

[tex]\frac{450}{5}[/tex] = 90 ← 1 part

7 parts, the larger amount = 7 × 90 = 630


complete the ordered pairs so they satisfy the equation y=-2x+6

Answers

(0,6)

y=-2x(0)+6

y=6


(5,4)

y=-2(5)+6

y=-10+6

y=-4


(-7,20)

20=-2x+6

20-6=-2x+6-6

14=-2x

14/-2=-2x/-2

-7=x

12,781 rounded to the nearest hundred

Answers

First, identify the digit in the hundreds place.

12,781

Left 1 - ten-thousands place

2 - thousands place

7 - hundreds place - the one we are interested in

8 - tens place

Right 1 - ones place

Now we know the 7 is in the hundreds place.

12,781

To round off to the nearest 100, all digits to the right of the digit in the hundreds place become zero.

12,781 becomes first 12,700, but now we need one more step.

Look in the original number at the digit just to the right of the hundreds digit. It is an 8. Since 8 is greater than or equal to 5, the previous digit goes up by 1, so the 7 becomes an 8, as in 12,800, and the rounded number is 12,800.

Answer: 12,800

The 12,781 rounded to the nearest hundred is 12,800.

Given:

A number - 12,781

To find:

The rounding off the given number to the nearest hundred.

Solution:

12,781

Rounding off 12,781 to nearest tens:

=12,780

Rounding off 12,780 to nearest hundred:

=12,800

12,781 ≈ 12,800

The 12,781 rounded to the nearest hundred is 12,800.

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Adrianna says it costs $13 for 7 goldfish is she correct explain goldfish are $2

Answers

multiply 7 goldfish by 2 dollars and you get 14 dollars wasted on 7 goldfish
Final answer:

Based on the cost of $2 per goldfish, the total price for 7 goldfish would be $14, not $13 as Adrianna claimed.

Explanation:

Adrianna's claim that it costs $13 for 7 goldfish does not seem correct given your statement that goldfish are $2 each. If each goldfish costs $2, then for 7 goldfish, the cost would be $2 x 7 = $14, not $13. It's important to recognize that the cost per goldfish can greatly influence the total cost when purchasing multiple goldfish.

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sylvia is carrying two bags of potatos, bag A and bag B. the weight of bag B is 3 pounds more than twice the weight of both bags of potatoes is 27 pounds. find the weight of each bag of potatos

Answers

since there are two bags and theyre equal in weight, you have to subtract 3 then divide by 2.

Answer: Hello!

There are two bags:

you write: "the weight of bag B is 3 pounds more than twice the weight of both bags of potatoes is 27 pounds."

this has no sense, I think you want to write something like:

"The weight of bag B is 3 pounds more than the weight of bag A, and twice the weight of both bags of potatoes is 27 pounds.

If we define B as the wheight of bag B, and A as the wight of bag A; we know that:

B - A = 3lb

2( B + A) = 27lb

in the first equation we can isolate B as: B = 3lb + A, and then replace it in the second equation:

2(B+ A) =27lb

2( (3lb + A) + A) = 27lb

6lb + 3A = 27lb

3A = 27lb - 6lb = 21lb

A= 21lb/3 = 7lb

now we can replace it in the first equation and get:

B - A = 3lb

B - 7lb = 3lb

B = 3lb + 7lb = 10lb

Then Bag A weights 7lb and bag B weights 10lb.

Use a tape diagram. jason order 239,021, pounds of flour to used in his 25 bakeries. The company delivering the flour showed up with 451,202 pounds. How many extra pounds of flour were delivered?

Answers

212,181 extra pounds 451,202-239,021=212,181

Answer: There are 212,181 pounds of flour extra delivered.

Step-by-step explanation:

Since we have given that

Number of pounds of flour used in his 25 bakeries = 239,021

Number of pounds of flour is delivered = 451,202

we need to find the extra pounds of flour were delivered.

So, Number of extra pounds of flour were delivered is given by

[tex]451202-239021\\\\=212181\ pounds[/tex]

Hence, there are 212,181 pounds of flour extra delivered.

The width of Jeff's rectangular garden is 6 feet shorter than its length, and its area is equal to 667 square feet. Which equation can be used to find the possible values for the length of Jeff's garden, x?

Answers

6x = 667 I hope that is correct.

There are six soccer balls and 10 footballs write the ratio as a fraction in simplest form

Answers

6:10

The simplest form would be 3:5.
Final answer:

The ratio of soccer balls to footballs is 3/5.

Explanation:

To write the ratio of soccer balls to footballs as a fraction in simplest form, you need to divide the number of soccer balls by the number of footballs. In this case, there are six soccer balls and ten footballs. So the ratio can be written as 6/10. To simplify this fraction, you can divide both the numerator and denominator by their greatest common factor, which in this case is 2. Thus, the ratio of soccer balls to footballs as a fraction in simplest form is 3/5.

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The volume of a rectangle prism can be computed by using the formula V=lwh.
Which equation is solved for h?

Answers

V = l*w*h   we divide both sides by l*w and we get

(V / (l*w) ) = h


the temperature at noon was -3 degrees C by 10 p.m. on the same day the temperature decrease by 5.4 degrees what was the temperature at 10 p.m.

Answers

The answer is -8.4 degrees

Answer:

The Answer is -8.4 degrees

Step-by-step explanation:

Since They said that the temperature decreased, that means there is a negative in front of 5.4.  -5.4+ -3= -8.4

Ryan places a mirror on the ground 42 feet from the base of a tree. He walka backwards until he can see the top of the tree in the middle of the mirror. At that point, Jason's eyes are 6 feet above the ground and he is 7 feet from the image in the mirror. What is the height of the tree

Answers

36 ft. And you behind on apex btw

Answer: 36 feet


Step-by-step explanation:

Let x be the height of tree

From the question, we can see there is a directly proportional relationship.

therefore, [tex]\frac{\text{height of Jason's eye}}{\text{distance of mirror from Jason}}=\frac{\text{height of tree}}{\text{distance of tree from mirrror}}\\\\\Rightarrow\frac{6}{7}=\frac{x}{42}\\\\\Rightarrow\ x=\frac{42\times6}{7}\\\\\Rightarrow\ x=36\ feet[/tex]

Hence, The height of the tree= 36 feet

4y + 6 - 2y =24 find y

Answers

Combine like terms

4y-2y=24-6

2y=18

y=9

Describe how you use place value to complete the chart?

Answers

don’t you just write which one is greater using <,>,=

simplify: (3x-1)^1/2

Answers

12x+1

Hope this helps

Rafael spent 24 dollars on a movie ticket, popcorn, and a soft drink. if the combined cost of the popcorn and soft drink was 1/2 the boost of the movie ticket, what was the cost of the movie ticket?

Answers

If the combined cost of the popcorn and soft drink was 1/2 the boost of the movie ticket, then that means that it is 1/2 of 24.

24 divided by 2 = 12

He spent $12 on a movie ticket.

Hope I helped!

Good Luck!

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The cost of the movie ticket is $16.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Total amount spend = $24.

Cost of the movie ticket = m

Cost of popcorn and soft drinks = 1/2 x m = $(m/2)

Now,

The cost of the movie.

Cost of popcorn + Cost of soft drinks + Cost of the movie = $24

m/2 + m = 24

(m + 2m) / 2 = 24

3m/2 = 24

3m = 24 x 2

m = 8 x 2

m = $16

Thus,

The cost of the movie ticket is $16.

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Write 0.4 as a fraction.

Answers

[tex]0.4=\dfrac{4}{10}=\dfrac{2}{5}[/tex]

Using the place value chart we can see that the decimal 0.4 is four tenths, so we can write 0.4 as the fraction 4 out of 10 or [tex]\frac{4}{10}[/tex]. Notice however that [tex]\frac{4}{10}[/tex] is not in lowest terms so we need to divide both the numerator and denominator by the greatest common factor of 4 and 10 which is 5.

Therefore, 0.4 can be written as the fraction 2/5, which is in lowest terms.

What value does the centi stand for

Answers

1 cm = (1/100) of a meter

centi is one one hundredth.

Which of the following functions is graphed below please help is due tomorrow

Answers

I believe the correct answer is D. Since the graph of the parabola has a domain for x < 4, and the line presents a domain for x > = 4, then the only option with these conditions is D!

Hope this helps! :)

Mr.Collins is buying 5 train tickets for $36 each. What is the total cost of the tickets? Use the distributive property to solve.

Answers

Step-by-step explanation:

Topic :- Unitary method !!

[ Refer to the attachment ]

How do we factor 225n to the 4th power minus p to the sixth power?

Answers

I'm pretty sure this is correct.
[tex] {225n}^{4} - {p}^{6} [/tex]

Jean runs 8 mi and then rides 11 mi on her bicycle on a biathlon. She rides 9 mph faster than she runs. If the total time for her to complete the race is 1.5 hr, determines her speed running and her speed riding her bicycle.

Answers

Let Jean's speed while running = x mph

Then Jean's speed while riding will be = x+9 mph

Distance covered by running = 8 miles

Distance covered by riding = 11 miles

Total time taken to complete the race = 1.5 hours

As, [tex]time=\frac{distance}{speed}[/tex]

So, time for running= [tex]\frac{8}{x}[/tex]

And time for riding= [tex]\frac{11}{x+9}[/tex]

Equation becomes:

[tex]\frac{8}{x}+\frac{11}{x+9}=1.5[/tex]

Now, multiply every term by 2x(x+9) to clear denominators:  

[tex]16(x+9)+22x=3x(x+9)[/tex]

Simplifying it we get

[tex]3x^{2}-11x-144=0[/tex]

Solve the quadratic equation using formula

[tex]x= \frac{-b+\sqrt{b^{2}-4ac }}{2a}[/tex]

putting a=3 , b= -11, c= -144

we get (x - 9)(3x + 16) = 0

where x=9 and x=[tex]\frac{-16}{3}[/tex]

Neglect the negative answer as speed cannot be negative, so x = 9 mph

Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph

Final answer:

We can set up a time equation for both running and cycling, which then we add together and set to equal the given total time. Solving this equation reveals Jean's running speed to be approximately 6 mph and cycling speed to be 15 mph.

Explanation:

Given the scenario, we can set up two equations for time. The first equation is time equals distance divided by speed. For running, we have time = 8 mi / speed. For cycling, time = 11 mi / (speed + 9 mph), since her speed on bike is 9 mph faster than her running speed.

The total time spent for both running and cycling is given as 1.5 hours. Therefore, adding the two time equations we have: 8/speed + 11/(speed + 9) = 1.5.

Solving this equation will give us the value of her running speed. Through algebraic calculations, we get that her running speed is about 6 mph. And consequently, her cycling speed is 6 mph + 9 mph = 15 mph.

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Anyone know this?
Pls help now.

Answers

so from (-3,6) to (6,-3)
A will become (9,4)
B will become (6,3)
And C will become (5,7)

What does the formula B = s^2 mean?

Answers

s^2 means we're squaring the number s

For example, if s = 3, then s^2 = 3^2 = 3*3 = 9

This is likely a formula to find the area of a square. In the example above, the square would have a side length of 3 leading to an area of 9.

Which of the following statements is an example of empirical probability

Answers

Final answer:

The statement 'The experimental procedure is to bet on one object. Then, roll three Lucky Dice and count the number of matches. The number of matches will decide your profit.' is an example of empirical probability. Empirical probability is calculated by dividing the number of times an event occurs by the total number of opportunities for the event to occur.

Explanation:

The statement 'The experimental procedure is to bet on one object. Then, roll three Lucky Dice and count the number of matches. The number of matches will decide your profit.' is an example of empirical probability.

Empirical probability is calculated by dividing the number of times an event occurs by the total number of opportunities for the event to occur. In this case, the student is rolling three dice and counting the number of matches, which is an observation-based approach to determining the probability.

An example of empirical probability in action is conducting an experiment to see how many times a specific outcome occurs, such as rolling dice or flipping coins, and then using that data to calculate the probability of that outcome happening.

The statement that represents an example of empirical probability is:

"In order to find the percentage of bass that he had in his pond this spring, Matt decided to spend 5 days catching a total of 15 fish each day and counting how many of those were bass." Option 4 is correct.

What is empirical probability ?

Actual observations or data gathered from studies or observations serve as the foundation for empirical probability.

In this instance, Matt is gathering information by counting the quantity of bass he catches relative to the total amount of fish he catches over time.

a) Jaką długość powinien mieć mieć bok kwadratu , aby pole tego kwadratu było równe polu prostokątu o wymiarach 3cm x 4cm ? Wynik podaj z dokładnością do 1mm.
b) Jaką długość ma krawędź sześcianu , którego ma objętość jest równa objętości prostopadłościanu o wymiarach 2cm x 4cm x 5 cm ?Wynik podaj z dokładnością do 1mm.

Answers

(a)

we are given

length of rectangle is 3cm

[tex]L=3cm[/tex]

width of rectangle is 4cm

[tex]W=4cm[/tex]

now, we can use area formula

[tex]A=L\times W[/tex]

we can plug values

[tex]A=4\times 3[/tex]

[tex]A=12 cm^2[/tex]

Let's assume side of square is 'a'

[tex]A=a^2[/tex]

we can set them equal

and then we can solve for a

[tex]a^2=12[/tex]

[tex]a=3.464cm[/tex]..........Answer

(b)

we are given

length of cuboid is 2cm

so, [tex]L=2cm[/tex]

width of cuboid is 4cm

so, [tex]W=4cm[/tex]

height of cuboid is 5cm

so, [tex]H=5cm[/tex]

now, we can find volume

[tex]V=L\times W\times H[/tex]

now, we can plug values

[tex]V=2\times 4\times 5[/tex]

[tex]V=40cm^3[/tex]

Let's assume edge of cube is 'a'

so, volume is

[tex]V=a^3[/tex]

now, we can set them equal

and then we can solve for a

[tex]a^3=40[/tex]

[tex]a=3.420cm[/tex]...........Answer

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