WILL GIVE BRAINLIEST 5 STARS AND THANKS....An automated machine takes any cardboard rectangle and cuts off a square whose side length is equal to the shorter side length of the rectangle. Peter had a rectangle and, using only the machine, got out of it 2 large squares, 3 medium squares, and 5 small squares whose side length is 10 cm. What were the dimensions of Peter's rectangle?

Answers

Answer 1

Answer:

Dimensions:

x = 130 cm

y = 10 cm

Step-by-step explanation:

Let´s call "x" and "d" sides of the cardboard rectangle x > y

then we have to cut along x three pieces of y length to get three squares of sides "y".

We have two squares of side y, the third one we cut in half and get two rectangles with sides y  and y/2, we cut to get 4 squares with sides y/2 then so far we have

2 large squares     ( side y )

4 medium squares (side y/2)  we just need three

We need to cut the available square side y/2  in 4 to get y/4 squares

Finally, we need y/4 length to get the fifth  y/4 square

Then dimensions of the cardboard

x       and   y

We cut 3 times at  "y" length and  need additional 10 cm

Then the side y/4 is equal to 10 cm then y = 40 cm

and  x = 3*y + y/4

x = 3*40 + 10 = 130 cm


Related Questions

Given the equation y=2x-8, which statement is correct ? A.Y=2(x-4) has a y-intercept of 4 B. Y=2(x-4)has a y-intercept of -4 C. Y=2(x-4) has a x- intercept of 4 D. Y=2(x-4)has a x intercept of -4

Answers

Answer:

Correct option: C -> Y=2(x-4) has a x- intercept of 4

Step-by-step explanation:

To find the y-intercept of the equation y = 2x - 8, we just need to find the value of y when x = 0:

[tex]y = 2*0 - 8 = -8[/tex]

To find the x-intercept of the equation y = 2x - 8, we just need to find the value of x when y = 0:

[tex]0 = 2*x - 8[/tex]

[tex]2x = 8[/tex]

[tex]x = 4[/tex]

So the y-intercept is -8 and the x-intercept is 4.

Correct option: C -> Y=2(x-4) has a x- intercept of 4

What is 3/5 of £85? PLEASE HELPPP

Answers

Answer:

51

Step-by-step explanation:

85/5x3=51

Answer:

Hey!

3/5 of 85 = 51!

Step-by-step explanation:

3/5 = 0.6

So 0.6 x 85 = 51!

HOPE THIS HELPS!!

If 94 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $1.75 and total receipts for the concert was $203.5, how many of each went to the concert?

Answers

Answer:

52 adults and 42 children attended the concert

Step-by-step explanation:

Given:

Total attendees=94 people

Adults tickets=$2.5

Children tickets=$1.75

Total receipts=$203.5

Let adults=a

Children=c

a+c=94 (1)

2.5a + 1.75c=203.5 (2)

From (1)

a+c=94

a=94-c

Substitute a=94-c into (2)

2.5a + 1.75c=203.5

2.5(94-c) + 1.75c=203.5

235-2.5c+1.75c=203.5

-0.75c=203.5-235

-0.75c=-31.5

Divide both sides by -0.75

-0.75c/-0.75=-31.5/-0.75

c=42

Substitute c=42 into (1)

a+c=94

a+42=94

a=94-42

=52

a=52

Therefore,

52 adults and 42 children attended the concert

HELP ASAP LINEAR EQUATIONS!!

Answers

Answer:

y = 4/3x - 10.

Step-by-step explanation:

3x + 4y = 12

4y = -3x + 12

y = -3/4x + 3

If a line is perpendicular to another, the line has a slope that is the negative reciprocal of the other line. Since the given line has a slope of -3/4, the line perpendicular to that line will have a slope of 4/3.

So far, for the equation of the line, we have an equation of y = 4/3x + b.

To find b, simply substitute the coordinates (6, -2) for x and y.

-2 = 4/3(6) + b

b + 4/3(6) = -2

b + 8 = -2

b = -10

So, the equation of the line will be y = 4/3x - 10.

Check your work...

-2 = (4/3)(6) - 10

-2 = 8 - 10

-2 = -2

Hope this helps!

Answer: C) [tex]y = \frac{4}{3} x-10[/tex]

Step-by-step explanation:

First change this equation into slope-intercept form(y = mx + b).  y = -3/4x + 3.

For a line to be perpendicular to another line, it must have an opposite reciprocal slope.  The opposite reciprocal of -3/4 is 4/3.  Thus, the answer is NOT B.  Then, attempt to plug in 6, -2 into each equation.  The only one where it works is C.

Hope it helps <3

The owner of a fruit stand gathered data for a week about the number of watermelons, pumpkins, and cantaloupes sold each day. She represented the data in two scatter plots.

Does either scatter plot indicate a positive correlation between the variables?

A.) only plot A
B.) only plot B
C.) both plot A and plot B
D.) neither plot A nor plot B

Answers

Answer: A) Only plot A

The reasoning is because all of the points for plot A are fairly close to the same straight line. This straight line has a positive slope. We call this line the regression line.

In contrast, plot B seems to have the points randomly scattered about. We can't draw a good fitting straight line to get near all of the points. So plot B does not show positive linear correlation.

Side note: the correlation coefficient for plot A will have its r value close to 1. The r value for plot B will be close to 0.

The answer is A.) only plot A

Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?

Answers

Answer:

Equation that can be used to find h is 1/15*(10h+60)=1/10*(10h)

Lindsay worked for 12 hours last week

Step-by-step explanation:

Complete question below:

last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends 1/15 of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been 1/10 of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?

Let

y= cost of the dinner with friends

h=the number of hours Lindsay worked last week

y=1/15*(10h+60) (1)

y=1/10*(10h) (2)

Equate (1) and (2)

1/15*(10h+60)=1/10*(10h)..........equation used to find h

10h+60/15=10h/10

Cross product

(10h+60)10=15(10h)

100h+600=150h

600=150h-100h

600=50h

Divide both sides by 50

600/50=50h/50

12=h

Therefore, Lindsay worked for 12 hours last week

What are the coordinates of the vertex of the parabola described by the equation below? y=-2(x+7)^2+22

Answers

Answer:

(-7,22)

Step-by-step explanation:

x+7 moves the graph left 7 (-7)

+22 moves it up 22

the 2 at the beginning is a shrink and it doesn't matter when finding the vertex

What is the slip of the line shown below?

Answers

Answer:

Assuming you mean slope, the answer would be ...

2

The photo is pretty blurry but from what I see, from point 1 to point 2 the line shifts over 1 and goes up 2 units. In other words, slope=rise/run so the slope of this line = 2/1.

When you reduce 2/1 you get 2. I know the slope is positive because the line is going up from the y-axis not down.

Therefore, your answer is 2

Hope this helps!

Answer: 2

Step-by-step explanation:

The slope would be 2 :)

Bridget drives at a speed of 60 miles per hour. How long will it take to drive 270 miles?

Answers

Answer:

4 hours and 30 minutes.

Step-by-step explanation:

270÷60=4.5

Answer:

4 1/2 hours (((:

Step-by-step explanation:

Type the missing number in the sequence

Answers

Answer:

10

Step-by-step explanation:

Take the third term and divide by the second term

1000/100 = 10 which is the common ratio

To find the first term divide by  the common ratio

100/10 = 10

The first term is 10

Answer: 10

Step-by-step explanation:

1, 10, 100, 1,000, etc.

The formula is 1/10 if you’re going left or 10/1 if you are going right.

The fourth term is 10,000, the third term is 1,000, the second term is 100, so the first term has to be 10

100 / 10 = 10

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.

Answers

Answer:

0.59375

Step-by-step explanation:

In a uniform distribution the probability that the time t is greater than any given value, X, is:

[tex]P(t\geq X)=1-\frac{X}{b-a}[/tex]

In this problem, the limits of the distribution are a = 0 and b = 8 minutes.

For X =3.25 minutes:

[tex]P(t\geq 3.25)=1-\frac{3.25}{8-0} \\P(t\geq 3.25)=0.59375[/tex]

The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.

The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.

Calculation of the probability:

Since The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes.

So, here the probability is

[tex]= 1 - (3.25 \div (8-0))\\\\[/tex]

= 0.59375

Hence, The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.

Learn more about probability here: https://brainly.com/question/15241200

blessings has cherries
she eats 1/4 of them
she has 18 cherries left
how many did she have at the beginning ​

Answers

Answer:

24 cherries

Step-by-step explanation:

18 is 75% of the original amount, meaning 25% will be 6 cherries.

So, 18 + 6 = 24, the original amount

Answer:

24 cherries

Step-by-step explanation:

If she has 18 now, and ate 1/4, its easiest to think of 18 as the other 3/4. When divided by 3, we get 6. If 18 is three sets of 6, you just add the fourth one to it to find the original amount. The answer is 24.

y = 16-x^2

Find the value of k ​

Answers

Answer:

k = - 4

Step-by-step explanation:

Given

y = 16 - x²

The point (k, 0 ) is a zero. To find the zero let y = 0, that is

16 - x² = 0 ( add x² to both sides )

16 = x² ( take the square root of both sides )

x = ± [tex]\sqrt{16}[/tex] = ± 4

The zeros are x = - 4 and x = 4

Since (k, 0 ) is to the left of the origin, then k = - 4

The diagram shows an irregular octagon. Work out the sum of the interior angles.

Answers

Answer:

1080°

Step-by-step explanation:

Sum of interior angles = 180°(n-2)

Where n is the number of sides of the polygon

Therefore,

Sum of interior angles of an octagon =180°(8-2)

=1080°

A polygon is a geometrical shape that has between 1 to an infinite number of sides. A polygon can come in two forms:

Regular polygonIrregular polygon

The sum of the interior angles of the irregular octagon is 1080°

The formula to solve for the sum of the interior angles of an irregular polygon is given as:

(n - 2) x 180°

Where n =  number of sides.

An octagon is a polygon that has 8 sides. Hence, n = 8

So: (8 - 2) x 180°

= 6 x 180°

= 1080°

Therefore, the sum of the interior angles of the irregular octagon is 1080°

To learn more, visit the link below:

https://brainly.com/question/23425100

Q2.

If ε = {x: x is an integer such that 1<x<20} and A = {8, 9, 10, 11, 12, 13, 14} and

B = {2, 4, 6, 8, 10, 12, 14, 16, 18}.




(i) List down the elements of A’ and B’








(ii) Are sets A - B and B - A equal sets?







(iii) Find and compare the sets (AUB)’ and A’∩B’ and share your observations




please please please please answer it it's so much inportant​

Answers

Answer:

see below

Step-by-step explanation:

A = {8, 9, 10, 11, 12, 13, 14} and   B = {2, 4, 6, 8, 10, 12, 14, 16, 18}

----------------

(i) List down the elements of A’ and B’

{8, 9, 10, 11, 12, 13, 14, 2, 4, 6, 8, 10, 12, 14, 16, 18} - this is the elements of both sets

----------

(ii) Are sets A - B and B - A equal sets?

A-B= {9, 11, 13}

B-A= {2, 4, 6, 16, 18}

These are not equal as we can see

----------

(iii) Find and compare the sets (AUB)’ and A’∩B’ and share your observations

A∪B= {2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 16, 18}- union included all elements of both sets

A∩B= {8, 10, 12, 14} - intersection only includes common elements

The table shows how the average cost of gasoline at one gas station changed over the past four months. Which graph might a magazine use to show the data?

Answers

Answer:

B/2

Step-by-step explanation:

The table mentions that the time actually starts from the end of the first month, so it cannot be graph one, which starts from 0.

Also, we can see that the values are decreasing over time, meaning it cannot be graph 3, which shows an increase.

thus, we settle the Answer as Graph 2, which satisfies all the needs.

Hope this helps.

square root of 524176 by long division ​

Answers

Answer:

724 is the square root of 524176.

Step-by-step explanation:

Square root of 524176 by long division method.

[tex]\sqrt{524176}[/tex] =  7) 52 41 76 (724

                  7  49

             14 2)  341

                2   284

         144 4)   5776

                      5776

                          0

Therefore, square root  of 524176 is 724.

A transversal intersects two lines and forms a pair of same side interior angles that measure 36° and 4 times that measure. Prove that the lines are parallel. Please answer now I need it desperately. thx.

Answers

Answer:

The addition of the same side interior angles is equal to 180°

Step-by-step explanation:

If the addition of the same side interior angles is equal to 180°, then the lines are parallel. One angle measure 36°, the other angle measures 4*36° = 144°. The addition gives 36° + 144° = 180°.

See picture attached; given that m║n then ∠1 ≅ ∠4 and ∠2 ≅ ∠3. Also, ∠1 + ∠3 = ∠2 + ∠4 = 180°; combining, we get ∠1 + ∠2 = 180°, where ∠1 and ∠2 are same side interior angles. This conclusion was gotten because we knew that m and n were parallel.

Help me please I need some help with math

Answers

Answer:

sorry i dont understand

Step-by-step explanation:

HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!...............................................................please?

Answers

Answer:

Hey!

Your answer should be

Step-by-step explanation:

To find the BASE: 8 x 4 = 32cm^2

To find the angled TOP FACE: 10 x 4 = 40 cm^2

To find the TRIANGLES: (6x8)/2 x 2 = 48 cm^2

To find the REAR FACE: 6 x 4 = 24 cm^2

TOTAL: 32 + 40 + 48 + 24

SUFACE AREA: 144cm^2

Hope this helps!

Answer:

192 cm ^3

Step-by-step explanation:

find area of cross section x depth

6 times 8 is 48

depth is 4

48 x 4 is 192


Please answer this question fast in two minutes

Answers

Answer:

(3, 0)

Step-by-step explanation:

M = (-3, -4) - mid point

D= (-9, -8)

C=?

--------

Mid point:

x= (x1+x2)/2, y=(y1+y2)/2

-3= (-9 +x1)/2 ⇒ -6= -9 +x1 ⇒ x1= 9-6=3-4= (-8+y1)/2 ⇒ -8= -8 +y1 ⇒ y1= 8-8= 0

C= (3, 0)

23. A 340 million square mile forest is how many hectares?

Answers

Answer:

88059595400 hectares

Step-by-step explanation:

Convert 340 million square miles into hectares.

1 square mile = 258.99881 hectares

340,000,000 square miles = 88059595400 hectares

The forest is 88059595400 hectares.

Answer:

[tex]8.80597(10^{10})[/tex] hectares

Step-by-step explanation:

This is unit conversion:

[tex]340,000,000miles(\frac{258.999 hectares}{1 mile} )[/tex]

We then multiply, with our units miles canceling out and leaving us with hectares:

[tex]8.80597(10^{10})[/tex] hectares

or

88059700000 hectares

Solve (x − 2) = 3
Give your solutions correct to 3 significant figures.

Answers

Answer:

(x − 2) = 3

Remove the bracket

x - 2 = 3

Group the constants at one side of the equation

x = 2 + 3

x = 5

Therefore x = 5.00 to 3 significant figures.

Hope this helps

please help and explain, will give BRAINLIEST! (also, use things like sin, cos, tan, pythagorean theorem, etc to solve please)

Answers

Answer:

The triangle's altitude is 15

Step-by-step explanation:

Notice that triangle ABD is a right angle triangle, and therefore its sides should verify the Pythagorean theorem:

[tex]hyp^2=side_1^2+side_2^2[/tex]

for this triangle the hypotenuse (b) is 47.43; side (a) is 45, and the last side (the segment BD) is our unknown (the triangle's ABC altitude). Then the Pythagorean theorem becomes:

[tex]hyp^2=side_1^2+side_2^2\\47.43^2=45^2+BD^2\\BD^2=47.43^2-45^2\\BD^2=224.6049\\BD=\sqrt{224.6049} \\\\BD=14.9868[/tex]

which rounded will give 15

5c/f=1/r, solve for r, c and f.

Answers

Answer:

c = 1, f = 5, and r = 1

Step-by-step explanation:

5(1)/(5) = 1/(1)

5/5 = 1/1

1 = 1

Step-by-step explanation:

5c = 1

f r

solving for r

5rc = f

r = f

5c

solving for c

if r = f

5c

5rc = f

c = f

5r

solving for f

f = 5cr

Please Help me ASAP Just answers please ;)

Answers

Answer:

C

Step-by-step explanation:

< means exclusive, so open hole

≤ means inclusive, so closed dot

also, you can see that the values for y are going down, like 6, 4, 2. That's only in answer C.

Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help. StartFraction 7 Over 8 EndFraction blank line StartFraction 2 Over 4 EndFraction StartFraction 7 Over 8 EndFraction StartFraction 2 Over 4 EndFraction A circle divided into 8 equal parts. 7 parts are shaded. A circle divided into 4 equal parts. 2 parts are shaded. is greater than cannot be compared to is less than is equal to

Answers

Answer:

7/8 is greater than 2/4

Step-by-step explanation:

In this question basically, what we are trying to do is to compare fractions and state which is greater or less.

The first fractions in the question is;

7/8 _ 2/4

Now, one of the best ways to go around comparing fractions is looking at the denominators.

In this question, the denominators in the fractions are 8 and 4.

The next thing to do here is to multiply the numerator and the denominator of the first by 4 and the numerator and the denominator of the second by 8. This makes it possible for us to have the same denominator in both fractions and thus compare both fractions directly.

Thus, what we have would be;

7/8 = 7/8 * 1 = 7/8 * 4/4 = 28/32

Now for the fraction;

2/4 = 2/4 * 1 = 2/4 * 8/8 = 16/32

We can see they both have a common denominator and we can directly compare their numerators.

Obviously, 28 is greater than 16 and this makes a case for the fact that 7/8 is greater than 2/4

So what we have in the blank is ; is greater than

Kindly note that the other part of the question that talks about shading circles is same as saying 7/8 and 2/4

Answer:

is less than

Step-by-step explanation:

look at da graph and watch mario.

Hannah was trying to guess the month of her brother's birthday? She knew that the
month had less than five letters in its name. What is the probability that Hannah guesses
the correct month?
Round to the hundredths place.

Answers

Answer:

1/4 or 0.25

Step-by-step explanation:

1)January

2)February

3)March

4)April

5)May

6)June

7)July

8)August

9)September

10)November

11)October

12)December

Months that have less than five letters in its name

June

July

May

Probability= successful outcome ÷ possible outcone

Successful outcome=3

Possible outcome=12

Probability of Hannah guessing her brother's birthday=3÷12=1/4

Justin plans to attend a four-year college. He has estimated the costs per year.
Tuition = $2,900
Other educational expenses = $280
Housing and living expenses = $4,100
Justin’s counselor estimates he will receive $3,500 a year in grants. He also will be eligible for a work-study program that pays $2,800 per year. Justin also plans to save enough money to contribute $500 each year.
Justin’s plan doesn’t cover his costs completely. What are his options for covering the rest of his costs? Select all that apply.
He could try to save more money.
He could get a student loan for the extra amount he needs.
He could apply for a scholarship.
He could ask his friends to loan him money.
He could ask his family to contribute.

Answers

Answer:

A, B, C, E

Step-by-step explanation:

I literally just did the question on edge.

Answer:

a,b,c,e

Step-by-step explanation:

convert the fraction to a decimal. 1/5=

Answers

Answer:

0.2

Step-by-step explanation:

1/5 or one-fifths is a whole divided into 5 equal parts.

Suppose 100. Divide 100 into 5 equal parts and we get 20.

The whole 1 divided into 5 equal parts is 0.2.

Answer: 0.2

Step-by-step explanation: Decimals represent fractions with denominators of 10, 100, 1,000, and so on.

Therefore, in order to write 1/5 as a decimal, we must first

find a fraction equivalent to 1/5 with a denominator of 10.

So we multiply the numerator and denominator of

1/5 by 2 to get the equivalent fraction 2/10.

Now we have a fraction that can be written as a decimal.

Since the tenths place is 1 place to the right

of the decimal, we can write 2/10 as 0.2.

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