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?

Answer: 39

Step-by-step explanation:

Because the vertex of the angle is at the center of the circle, the arc would be equal to it. Hope this helped:)

Answer:

37°

Step-by-step explanation:

39 = 1/2(41 + DE)

78 = 41 + DE

37 = DE

Answer:

20

Step-by-step explanation:

lets label each shirt as A, B, C, D, E and each pair of pants as a, b, c, d

combinations include:

Aa, Ab, Ac, Ad, Ba, Bb, Bc, Bd, Ca, Cb, Cc, Cd, Da, Db, Dc, Dd, Ea, Eb, Ec, Ed

however, it isn't necessary to write out all the combinations as you could just do 5*4=20.

Answer:

Option A : 200, 250, 300, 350, 400, 450

Add 50 to each weekly result

Option B : 200, 220, 242, 266.2, 292.82, 322.1

Mutiply the weekly result with 110/100

The exact values for the intersection point is (20/9, -107/9)

Given the system of equation expressed as;

y = −13x + 17;

y = 5x - 23

Since they are both y-values, we will equate both expressions to have:

-13x + 17 = 5x - 23

-13x - 5x = -23 - 17

-18x = -40

x = 40/18

x = 20/9

Substitute x = 20/9 into equation 2:

y = 5x - 23

y = 5(20/9) - 23

y = 100/9 - 23

y = -107/9

Hence the exact values for the intersection point is (20/9, -107/9)

Learn more on solution to equations here: https://brainly.com/question/13729904

Answer:

The answer is 7.5 and 14.5

( 7.5 , 14.5 )

Step-by-step explanation:

Answer:

+ 8/5

Step-by-step explanation:

Reciprocal is flip

Take the negative flip

- ( - 1 /(5/8))

+ 8/5

Answer:

8/5

Step-by-step explanation:

The reciprocal of a number is 1/that number.

So, the reciprocal of -5/8 is [tex]1/\frac{-5}{8}[/tex]= 1 times 8/-5

8/-5 is the reciprocal of -5/8.

However, we are looking for the negative reciprocal.

So, multiply the number by negative 1.

[tex]\frac{8}{-5} (\frac{-1}{1}[/tex]) = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex]

Answer:

see below

Step-by-step explanation:

6+9x^2

Rewriting in decreasing powers of x

9x^2 +0x + 6

ax^2+bx+c

a = 9

b =0

c = 6

Answer:

[tex]\frac{-1}{4}[/tex]and [tex]\frac{-5}{8}[/tex] are the locations higher than [tex]\frac{-3}{4}[/tex] foot

Step-by-step explanation:

We are given that Meg found one treasure at [tex]\frac{-3}{4}[/tex]foot

We are supposed to find Which of these location are higher than [tex]\frac{-3}{4}[/tex]foot?

i) [tex]-\frac{7}{8}[/tex]

So, this location is not  higher than [tex]\frac{-3}{4}[/tex]foot

ii)[tex]-\frac{1}{4}[/tex]

So, [tex]-\frac{1}{4}>\frac{-3}{4}[/tex]

So, this location is higher than[tex]\frac{-3}{4}[/tex] foot

iii) - 1 foot

[tex]-1 < \frac{-3}{4}[/tex]

So,this location is not  higher than[tex]\frac{-3}{4}[/tex]foot

iv)-2 feet

So,this location is not  higher than[tex]\frac{-3}{4}[/tex]foot

v)[tex]\frac{-5}{8}[/tex]

So, this location is higher than [tex]\frac{-3}{4}[/tex]foot

Answer: B, E

Step-by-step explanation:

The guy above is right but just to make it more easy

Answer:

[tex]3.5725 * 10^5[/tex]

Step-by-step explanation:

Given

There are about 3.5725 * 10^4 grains of sand in an 8-ounce cup.

Required

How many grains of sand would there be in a 5-gallon container?

Let x represent the number of grains in 5 gallon; So, From the question, we have that;

8 cups = 3.5725 * 10^4

5 gallon = x

Cross Multiply

x * 8 cups = 5 gallon * 3.5725 * 10^4

Recall that 1 gallon = 16 cups

[tex]x * 8\ cups = 5 * 16\ cups * 3.5725 * 10^4[/tex]

[tex]x * 8 = 5 * 16 * 3.5725 * 10^4[/tex]

Divide both sides by 8

[tex]\frac{x * 8}{8} = \frac{5 * 16 * 3.5725 * 10^4}{8}[/tex]

[tex]x = \frac{5 * 16 * 3.5725 * 10^4}{8}[/tex]

[tex]x = 5 * 2 * 3.5725 * 10^4[/tex]

[tex]x = 10 * 3.5725 * 10^4[/tex]

[tex]x = 3.5725 * 10^5[/tex]

Hence, the number of grains of sand in  5 gallon is [tex]3.5725 * 10^5[/tex]

Answer:

54

Step-by-step explanation:

Number of students travelled by bus = 331 - 7 = 324

Number of students in each bus = 324/6 = 54

Answer:

First thing you would do is subtract 7 from 331 and then you would be left with 324 and then you divide the 324 by 6 and a would end out with 54

Step-by-step explanation:

Please mark brainliest

Answer:

102 minutes

Step-by-step explanation:

If you have to work 60 hours in five weeks, there are seven days in a week so I multiply 7 by 5 (5 being the number of weeks) and I divide that by 60, getting 1.7 hours a day, which is 102 minutes. Hope this helped!

Answer:

Hey there!

60 hrs in 5 weeks is equal to 3600 minutes in 35 days.

So, each day you would have to do 102.86 minutes.

Hope this helps!

Answer:

irrational

5 and 7

Step-by-step explanation:

sqrt( 42) irrational

it is not a perfect square so it is irrational

Looking at perfect squares

6^2 = 36

7^2 = 49

42 is between 36 and 49

so sqrt(42) is between  sqrt(36) and sqrt(49)

sqrt(42) is between 6 and 7

Given the choices, 5 and 7

Answer:

Irrational

5 and 7

Step-by-step explanation:

[tex]\sqrt{42}[/tex] is irrational (Those Roots are usually irrational which cannot be simplified)

=> [tex]\sqrt{42}[/tex]  = 6.48 (Between 5 and 7)

Answer:

(2x+1)(x-3) is the factorized form of the given expression

Step-by-step explanation:

=2x^2-5x-3

By using sum and product rule

=2x^2-6x+1x-3

By taking common

=2x(x-3)+1(x-3)

=(2x+1)(x-3)

I hope this will help you :)

Answer:

(x-3)(x+1/2)

_____________________________________

Answer:

3x+4x+7

Step-by-step explanation:

First, a Trinomial consists of three terms.

so we have blank+blank+blank

Next we need to add the coefficients.

3+4+blank

Add the variables.

3x+4x+blank

And lastly, add the constant.

3x+4x+7

Good luck!

A trinomial that meets the given criteria is:

p(x) = 3*x^2 + 4*x + 7

A trinomial is a polynomial with 3 terms, we can write it as:

p(x) = A*x^n + B*x^k + C*x^m

Where n, k, and m, can be only natural numbers equal to or larger than zero, and A, B, and C are the coefficients.

First, we know that our trinomial has a constant 7, then one of the exponents must be 0, let's say that m = 0, then C = 7.

p(x) = A*x^n + B*x^k + 7

Now, we know that the other coefficients must be 3 and 4, so we can use:

And there are no more restrictions, so we can use any values for n and k, I will use:

Then the trinomial becomes:

p(x) = 3*x^2 + 4*x + 7

If you want to learn more about polynomials, you can read:

https://brainly.com/question/4142886

Answer:

Step-by-step explanation:

Surface area of a hemisphere is 2πr²

Where r is the radius

radius = diameter / 2

From the picture diameter = 60ft

Therefore

radius = 60/2 = 30ft

Surface area of the hemisphere is

2π(30)²

= 2(900)× 3.14

= 1800 × 3.14

= 5652ft²

Hope this helps you

Answer:

Your answer would be 5652ft squared

Step-by-step explanation:

Answer:

20 times

Step-by-step explanation:

The digit 1 appear in number from 1 to 99 is 20 times

19 times will the digit '1' appear if we write all whole numbers from 1 to 99.

To determine the digit '1' appear if we write all whole numbers from 1 to 99?

From 1 to 9, there is one 1.

From 10 to 19, there are ten 10.

From 20 to 29, there is one 1.

From 30 to 39, there is one 1.

From 40 to 49, there is one 1.

From 50 to 59, there are ten 1.

From 60 to 69, there is one 1.

From 70 to 79, there is one 1.

From 80 to 89, there is one 1.

From 90 to 99, there is one 1.

So the total number of 1s is 1 + 10 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 19.

Therefore, 19 times will the digit '1' appear if we write all whole numbers from 1 to 99.

Learn more about whole numbers here:

https://brainly.com/question/29766862

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Answer:

Number Line B

Step-by-step explanation:

Let's simplify the inequality.

7x + 9 > -5

7x > -14

x > -2

The number line that represents this is B.

Answer:

[tex]X = \begin{bmatrix}1&3\\ 2&4\end{bmatrix}[/tex]

Step-by-step explanation:

The question we have at hand is, in other words,

[tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}\left(X\right)=\begin{bmatrix}8&20\\ \:3&7\end{bmatrix}[/tex] - where we have to solve for the value of [tex]X[/tex]

If we have to isolate [tex]X[/tex] here, then we would have to take the inverse of the following matrix ...

[tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}[/tex] ... so that it should be as follows ... [tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}^{-1}[/tex]

Therefore, we can conclude that the equation as to solve for " [tex]X[/tex] " will be the following,

[tex]X=\begin{bmatrix}4&2\\ 1&1\end{bmatrix}^{-1}\begin{bmatrix}8&20\\ 3&7\end{bmatrix}[/tex] - First find the 2 x 2 matrix inverse of the first portion,

[tex]\begin{bmatrix}4&2\\ 1&1\end{bmatrix}^{-1}[/tex] = [tex]\frac{1}{\det \begin{pmatrix}4&2\\ 1&1\end{pmatrix}}\begin{pmatrix}1&-2\\ -1&4\end{pmatrix}[/tex]= [tex]\frac{1}{2}\begin{bmatrix}1&-2\\ -1&4\end{bmatrix}[/tex] = [tex]\begin{bmatrix}\frac{1}{2}&-1\\ -\frac{1}{2}&2\end{bmatrix}[/tex]

At this point we have to multiply the rows of the first matrix by the rows of the second matrix,

[tex]X = \begin{bmatrix}\frac{1}{2}&-1\\ -\frac{1}{2}&2\end{bmatrix}\begin{bmatrix}8&20\\ 3&7\end{bmatrix}[/tex] ,

[tex]X = \begin{pmatrix}\frac{1}{2}\cdot \:8+\left(-1\right)\cdot \:3&\frac{1}{2}\cdot \:20+\left(-1\right)\cdot \:7\\ \left(-\frac{1}{2}\right)\cdot \:8+2\cdot \:3&\left(-\frac{1}{2}\right)\cdot \:20+2\cdot \:7\end{pmatrix}[/tex] - Simplifying this, we should get ...

[tex]\begin{bmatrix}1&3\\ 2&4\end{bmatrix}[/tex] ... which is our solution.

Answer:

solution,

[tex]f(x) = x - 2[/tex]

X= 5

Plugging the value,

[tex]f(5) = 5 - 2 \\ \: \: \: \: = 3[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

The GCF is 12

list the factors of 84 and 36

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

1, 2, 3, 4, 6, 9, 12, 18, 36

both numbers have 1,2,3,4,6,9 and 12 as a common factor but 12 is the biggest so it is the gcf

GCF means both numbers have 12 as their biggest factor they have in common.

Hope this helps

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The task is to find the greatest common factor of 84 and 36

First we find the prime factors of each number:

Greatest common factor is the product of common factors of the given numbers

As per above, 84 and 36 have common factors of 2×2×3=12

So answer is 12

Answer:

The average rate of speed needed is 76 miles/hr.

Step-by-step explanation:

From the provided data, we can conclude two points:

Form an equation representing the distance left to Brent's destination, d, based on the amount of time he has spent driving, t.

[tex](d-d_{1})=\frac{d_{2}-d_{1}}{t_{2}-t_{1}}\cdot (t-t_{1})\\\\(d-470)=\frac{258-470}{7-3}\cdot (t-3)\\\\d-470=-53(t-3)\\\\d=-53t+159+470\\\\d=629-53t[/tex]

The speed of a vehicle is:

[tex]speed=\frac{distance}{time}\\\\\Rightarrow distance=speed\times time[/tex]

So distance is directly proportional to the speed, i.e. as speed increases the distance covered also increases and as speed decreases the distance covered also decreases.

So, if Brent’s average speed had been faster or slower on his trip, the distance left to be covered would decrease or increase accordingly.

Consider the provided information:

3 hours of driving → 470 miles left

7 hours of driving → 258 miles left.

That in 4 hours Brent covered 212 miles.

Speed at which he was driving was:

[tex]speed=\frac{distance}{time}=\frac{212}{4}=53\ \text{miles/hr}[/tex]

Now it is provided that after 9 hours of driving, Brent plans to stop at a hotel for the night.

That is he drove for another 2 hours at the same speed, i.e. 53 miles/hr.

Compute the distance covered between 7 hour to 9 hour as follows:

[tex]distance = speed\times time=53\times 2=106\ \text{miles}[/tex]

Remaining distance = 258 - 106 = 152 miles.

If Brent wants to reach his destination in 11 hours of driving then he has to cover the remaining 152 miles in the next 2 hours.

Compute the speed as follows:

[tex]speed=\frac{distance}{time}=\frac{152}{2}=76\ \text{miles/hr}[/tex]

Thus, the average rate of speed needed is 76 miles/hr.

Answer:

WHAT DOES THE SLOPE OF THE LINE REPRESENT????

Step-by-step explanation:

Answer:

50 units.

Step-by-step explanation:

It is given that HGJL is a parallelogram and diagonals intersect each other at point K.

[tex]HK=c-7,JK=3c-33,GK=c+12[/tex]

We now that diagonals of parallelogram bisect each other. So,

[tex]HK=JK[/tex]

[tex]c-7=3c-33[/tex]

[tex]33-7=3c-c[/tex]

[tex]26=2c[/tex]

Divide both sides by 2.

[tex]13=c[/tex]

Now,

[tex]GK=c+12=13+12=25[/tex]

Diagonals of parallelogram bisect each other. So,

[tex]GL=2(GK)=2(25)=50[/tex]

Therefore, the measure of GL is 50 units.

Answer:

GL = 50 units

Step-by-step explanation:

Answer:

r = 4 cm

A(circle) = π·r²

= π·(4cm)²

= 3.14·16cm²

= 50.24 cm²

d = 18 in

d = 2r => r = d/2 = 18in/2 = 9 in

A(circle) = π·r²

= 3.14·(9in)²

= 3.14·81in²

= 254.34 in²

Answer:

-5^7/-5^2=5^7/5^2= 5^(7-2)=5^5 this is the answer

Step-by-step explanation:

plz give me brainlist

Answer:

5^5

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

f(x - c) shift the function c units to the right.

In this case, if (x - 1) was substituted in place of the x, the graph would shift 1 unit to the right.

If you want to graph the new function and know the graph of the previous one, this relationship avoids you the substitution of (x - 1) into the function and expansion of the expression to obtain a new quadratic formula.

Answer:

The answer would be B!!

Step-by-step explanation:

Answer:

10, -5, -11

Step-by-step explanation:

f(x) = - 3x-5

f(-5) = -3(-5) - 5 => 15 - 5 => 10

f(0) = -3(0) - 5 => 0 - 5 => -5

f(2) = -3(2) - 5 => -6 - 5 => -11

The value of the function at x = –5, 0, 2 will be 10, –5, and –11.

A statement, principle, or policy that creates the link between two variables is known as a function.

The function is given below.

f(x) = –3x – 5

The value of the function at x = –5, 0, 2 will be

f(–5) = –3(–5) – 5

f(–5) = 15 – 5

f(–5) = 10

f(0) = –3(0) – 5

f(0) = 0 – 5

f(0) = –5

f(2) = –3(2) – 5

f(2) = –6 – 5

f(2) = –11

More about the function link is given below.

https://brainly.com/question/5245372

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Answer:

1.811

Step-by-step explanation:

3/4 + 1/8 + 4/5 + 17/125=1811/1000 or 1 811/1000 = 1.811

Answer:

The answer is 1.811.

Answer:

The line segment's position changes, but its length remains the same.

Step-by-step explanation:

When a line segment is translated, it only will move its position up, down, or to the side.

The slope and length will stay the same, but the position will change.

So, this answer is correct because the position changes but not the length.

Answer:

True

Step-by-step explanation:

The volume of a cube depends on the length of its sides.

To find the volume, you will need only one side measurement, because a cube has all lengths equal.

V = a³

True.

Volume of cube is [tex]V=a^3[/tex] where [tex]a[/tex] is cube's side. Thus volume depends on sides.

Hope this helps.

Answer:

The answer is: $0.51.

Step-by-step explanation:

Since Maggie bought 4 boxes of cereal then the total cost of the cereal she bought is $9.60 or 960 cents. $10.11 can be converted to 1011 cents:

1011 - 960 = 51

The amount of money we're left with is 51.

Answer: A) $0.51

Step-by-step explanation:

Maggie bought 4 boxes of cereal, each costing $2.40.  Thus, she spent $2.40*4, or $9.60 on cereal.  Because she spent $10.11, she spent $10.11-$9.60=$0.51

Hope it helps <3