A rectangle has one side that measures 10 units and another side that measures 4 units.Circle the two measurement units that show the length and width of another rectangle with the same perimeter.

4 units 5units

8 units 3 units

9units 7 units

Simplifying

4x + -3y = 12

Solving

4x + -3y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3y' to each side of the equation.

4x + -3y + 3y = 12 + 3y

Combine like terms: -3y + 3y = 0

4x + 0 = 12 + 3y

4x = 12 + 3y

Divide each side by '4'.

x = 3 + 0.75y

Simplifying

x = 3 + 0.75y

Answer:

12 inches.

Step-by-step explanation:

The quadrilateral  will be rectangle and the diagonals will be parallel and equal to the sides of the rhombus.

If the midpoints of the rhombus with sides of 12 inches are joined to form a quadrilateral. The quadrilateral formed would be a square with diagonal of 12 inches.

A rhombus is a quadrilateral (has four sides and four angles) in which the opposite sides are equal and parallel. All the sides of a rhombus are equal.

If the midpoints of the rhombus with sides of 12 inches are joined to form a quadrilateral. The quadrilateral formed would be a square with diagonal of 12 inches.

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Answer:

Step-by-step explanation:

[tex]3w+8-w=4w-2(w-4)\qquad\text{use the distributive property}\\\\2w+8=4w-2w+8\\\\2w+8=2w+8\qquad\text{subtract}\ 2m\ \text{from both sides}\\\\8=8\qquad\bold{TRUE}[/tex]

[tex]-3y+3=-3y-6\qquad\text{add}\ 3y\ \text{to both sides}\\\\3=-6\qquad\bold{FALSE}\\\\9-(2v+3)=-2v-6\\\\9-2v-3=-2v-6\qquad\text{add}\ 2v\ \text{to both sides}\\\\6=-6\qquad\bold{FALSE}\\\\7m-5=8m+7-m\\\\7m-5=7m+7\qquad\text{subtract}\ 7m\ \text{from both sides}\\\\-5=7\qquad\bold{FALSE}[/tex]

Hence , Formula for permutation and combination is

[tex]P(n,r)=\frac{n!}{n-r!}[/tex]

No of ways in which  we can obtain possible no. of ways in which particular arrangement can be made.

The way in which we can select item as per given situation

[tex]P(n,r)=\frac{n!}{n-r!}[/tex]

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The formula for [tex]P(n,r)[/tex], which represents the number of permutations of r objects from a set of n distinct objects, is given by: [tex]\[ P(n,r) = \frac{n!}{(n-r)!} \][/tex]

To understand this formula, let's break it down:

1. [tex]\( n! \)[/tex] gives the number of ways to arrange n distinct objects in a sequence.

2. [tex]\( (n-r)! \)[/tex] gives the number of ways to arrange the remaining [tex]\( n-r \)[/tex] objects that are not chosen for the permutation.

3. Dividing [tex]\( n! \)[/tex] by [tex]\( (n-r)! \)[/tex] effectively cancels out the arrangements of the [tex]\( n-r \)[/tex] objects that we are not interested in, leaving us with the number of ways to arrange just the r objects.

Answer:

$2.50

Step-by-step explanation:

Let's take a look at the 4 orders and check the price per pup cake in each order:

Order 1: $5 for 2 cakes, so $2.50 per cake.

Order 2: $7.50 for 3 cakes, so $2.50 per cake.

Order 3: $12.50 for 5 cakes, so $2.50 per cake.

Order 4: $20.00 for 8 cakes, so $2.50 per cake.

Jake has a very consistent pricing of his cakes... they're always $2.50 each.

That price is the relation between the price asked and the number of cakes sold, that's the constant of proportionality in this case.

Answer:

Option 3rd is correct

$2.5 is the constant of proportionality in cost per pup cake

Step-by-step explanation:

The direct proportionality states that:

[tex]y \propto x[/tex]

then the equation is in the form of :

[tex]y = kx[/tex]              ....[1]

where, k is the constant of proportionality.

As per the statement:

The table shows how much Jake charged for the last 4 orders of pup cakes.

Let y represents the cost  and x represents the pup-cakes

Consider any values of x and y from the given tables.

x = 3 and y = $7.5

To find constant of proportionality in cost per pup cake.

Substitute these in [1] we have;

[tex]7.5 = 3k[/tex]

Divide both sides by 3 we have;

2.5 = k

or

k = 2.5

Therefore, $2.5 is the constant of proportionality in cost per pup cake

Answer:

1) true

2)False

3) False

4)true

Step-by-step explanation:

1) I doubled 50 to make a hundred girls = 100% and theni had to double 18 to get 36= 36%

2) because it is 8.4%

3) Because the total number of girls is the highest for 1 fruit

Answer: $48

Step-by-step explanation: The amount of money Joe made can be divided by 9. 54/9 = 6. Joe made 9 dollars six times so Leila made 8 dollars 6 times. 6 x 8 = 48.

Answer:

$3.79 for an 8 foot board

Step-by-step explanation:

The way to find the answer is calculating the price per foot.

Part 1

$3.79 for an 8 foot board.

one foot would cost:

$3.79 ÷ 8  =  0.47375

Part 2

$6.18 for a 12 foot board?

Price of one foot would be:

$6.18 ÷ 12 = 0.515

$0.47375 is less than $0.515. So, the cheaper treated lumber is the one costing $3.79 for an 8 foot board.

Answer:

1.  x

2. 3x-6

Step-by-step explanation:

1) y=|x−3|+|x+2|−|x−5| , IF -2 < X < 3

|x−3| will be less than zero if -2 < X < 3   so rewrite it as 3-x

|x+2| will be greater than zero if -2 < X < 3  so we can leave it as x+2

|x−5| will be less than zero  if -2 < X < 3 so we rewrite it as 5-x

1. 3-x + x+2  - (5-x)

Combine like terms

5 - (5-x)

Distribute

5 - 5+x

x

1) y=|x−3|+|x+2|−|x−5| , IF 3 < X < 5

|x−3| will be greater than zero if 3 < X < 5   so leave it  as x-3

|x+2| will be greater than zero if 3 < X < 5  so we can leave it as x+2

|x−5| will be less than zero  if -2 < X < 3 so we rewrite it as 5-x

x-3 + x+2  - (5-x)

Combine like terms

2x-1 - (5-x)

Distribute

2x-1 - 5+x

3x-6

The value of b is -6.

To find the value of b, we need to solve the quadratic equation b2 + 2b - 24 = 0.

Since b < 0, we can eliminate the positive solution.

We can factor the equation by finding two numbers whose product is -24 and sum is 2.

The numbers are -4 and 6.

So, the factored form of the equation is (b - 4)(b + 6) = 0.

Setting each factor equal to zero, we find that b = -6 or b = 4.

Since b < 0, the value of b is -6.

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Final answer:

Using the quadratic formula, we find that b = -6 (option A), considering the requirement that b < 0 for the equation b² + 2b - 24 = 0.

Explanation:

To find the value of b given the quadratic equation b² + 2b − 24 = 0 and knowing that b is less than zero, we can use the quadratic formula:

The quadratic formula is −b ± √(b² − 4ac /2a), where a, b, and c are coefficients from the quadratic equation in the form ax2 + bx + c = 0.

In this case, a = 1, b = 2, and c = −24. Applying these values to the quadratic formula, we have:

−(2) ± √((2)² − 4(1)(−24) /2(1))

The discriminant part of the formula, b² − 4ac, equals (2)² − 4(1)(−24) = 4 + 96 = 100. Therefore, the square root of the discriminant is 10.

Simplifying further, we have:

(−2 ± 10) / 2 = −6 or +8

Since b < 0, we disregard the positive solution and consider b = −6, which is option A.

Answer:

0.343 L

Step-by-step explanation:

A liter has 1000 mL which is 1000 cm^3

The volume of the cube = s^3

s = 7

Volume = 7^3

V = 343 cc

The number of liters = 343 / 1000 = 0.343 L

Answer:

x =  ±sqrt(19)

Step-by-step explanation:

x^2-8=11

Add 8 to each side

x^2-8+8=11+8

x^2 = 19

Take the square root of each side

sqrt (x^2) = ±sqrt(19)

x =  ±sqrt(19)

Answer:

The answer is 2.333 yards

Step-by-step explanation:

In every one yard there's thirty-six inches.

84/36= 2.333

Hope this helps :)

To convert 84 inches to yards, first convert inches to feet by dividing by 12, resulting in 7 feet. Then, convert feet to yards by dividing by 3, resulting in approximately 2.33 yards.

To convert 84 inches to yards, we need to use the relationships between inches, feet, and yards.

Start by converting inches to feet, and then convert feet to yards.

1. Convert inches to feet:

There are 12 inches in a foot, so divide the number of inches by 12.
84 ÷ 12

= 7 feet

2. Convert feet to yards:

There are 3 feet in a yard, so divide the number of feet by 3.
7 ÷ 3

= 2.33 yards

Thus, 84 inches is equal to approximately 2.33 yards.

Answer:

See picture attached.

Step-by-step explanation:

To find the solution, graph each equation using the y = mx + b form.

Start by converting to this form.

x + 2y < 4 becomes y < -1/2x +2

3x - y > 2 becomes y < 3x - 2

Then mark each y-intercept. These points are (0,2) and (0,-2).

Using the slope mark the next points at (-1,4) and (1, -1) respectively.

Connect using dash lines since this is not equal to in either inequality.

Test a point no on either line like (-1,-1).

If the inequality holds true, shade the area.

Where the areas overlap is the solution. See picture.

Inequalities are used to represent unequal expressions.

The solution to the inequality is [tex]x \le \frac 87[/tex] and [tex]y < \frac{10}7[/tex]

The inequalities are given as:

[tex]x + 2y \le 4[/tex]

[tex]3x - y > 2[/tex]

Express both inequalities as equations'

[tex]x + 2y = 4[/tex]

[tex]3x -y = 2[/tex]

Make y the subject in [tex]3x -y = 2[/tex]

[tex]y = 3x - 2[/tex]

Substitute [tex]y = 3x - 2[/tex] in [tex]x + 2y \le 4[/tex]

[tex]x + 2(3x - 2) \le 4[/tex]

Open brackets

[tex]x + 6x - 4 \le 4[/tex]

[tex]7x - 4 \le 4[/tex]

Collect like terms

[tex]7x \le 4+4[/tex]

[tex]7x \le 8[/tex]

Divide both sides by 7

[tex]x \le \frac 87[/tex]

Substitute 8/7 for x in [tex]3x - y > 2[/tex]

[tex]3 \times \frac 87 - y > 2[/tex]

[tex]\frac{24}7 - y > 2[/tex]

Collect like terms

[tex]- y > 2 -\frac{24}7[/tex]

Take LCM

[tex]- y > \frac{14 -24}7[/tex]

[tex]- y > \frac{-10}7[/tex]

Divide both sides by -1

[tex]y < \frac{10}7[/tex]

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Answer:

The slope is .075 and the y intercept is -.125

Step-by-step explanation:

8y = .2(3x -5)

Distribute the .2

8y = .6x - 1

Divide by 8

8y/8 = .6x/8 -1/8

y = .075x -.125

This is in slope intercept form  y= mx+b  where m is the slope and b is the y intercept.

The slope is .075 and the y intercept is -.125

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{6}[/tex]

⇒ [tex]\frac{3}{6}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{4}{6}[/tex]

⇒[tex]\frac{2}{3}[/tex]

[tex]y = a(x)^(2) + bx + c [/tex]

Answer:

The distance the player throws the ball is [tex]112.5\ ft[/tex]

Step-by-step explanation:

see the attached figure with letters to better understand the problem

In the right triangle ABX

[tex]AB=90\ ft[/tex]

[tex]BX=(3/4)90=67.5\ ft[/tex]

XA --------> is the distance the player throws the ball (hypotenuse of the right triangle)

Applying the Pythagoras Theorem

[tex]XA^{2}=AB^{2}+BX^{2}[/tex]

substitute the values

[tex]XA^{2}=90^{2}+67.5^{2}[/tex]

[tex]XA^{2}=12,656.25[/tex]

[tex]XA=112.5\ ft[/tex]

The distance player throws the call was calculated using Pythagoras theorem and it is 112.5 feet.

It is given that

Side of the square = 90 feet

Distance of point x from the second base = 3/4 * 90 = 67.5

The distance the player throws the call let us say D will be the shortest distance between x and 1st base.

Distance D can be calculated by Pythagoras theorem

In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the perpendicular and the base.

[tex]D = \sqrt{90^{2} +67.5^{2} }[/tex]

[tex]D = \sqrt{8100+4556.25} \\\\D = \sqrt{12656.25\\}\\[/tex]

[tex]D=\sqrt{12656.25} = 112.5[/tex]

Therefore, the distance the player throws the call is 112.5 feet.

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Answer:

The first one is true. 5b+15=14

Step-by-step explanation:

(b+3)/7=  2/5

After cross-multiplication:

5(b+3)=2*7

5b+15=14

Answer:

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (a, b) and (a + 3, b + 3). Substitute:

[tex]m=\dfrac{b+3-b}{a+3-a}=\dfrac{3}{3}=1[/tex]

[tex]y-b=1(x-a)[/tex] - point-slope form

Convert to the slope-intercept form: y = mx + b:

[tex]y-b=x-a[/tex]        add b to both sides

[tex]y=x+b-a[/tex] - slope-intercept form

Answer:

Step-by-step explanation:

answer for edmentum

Answer:

The correct option is B.

Step-by-step explanation:

If polar coordinates of point P are

[tex]P=(r,\theta)[/tex]

Where, r is real number and θ is in radian, then all polar coordinates of point P are defined as

[tex]P=(r,\theta+2n\pi)[/tex]

[tex]P=(-r,\theta+(2n+1)\pi)[/tex]

The given coordinates are [tex]P(5,-\frac{\pi}{6})[/tex]. So, all polar coordinates of point P are

[tex]P=(5,-\frac{\pi}{6}+2n\pi)[/tex]

[tex]P=(-5,-\frac{\pi}{6}+(2n+1)\pi)[/tex]

Therefore correct option is B.

THE AREA OF A CIRCLE = πr^2

Here π = 3.142

r = 7.5

now A = πr^2

A = 3.142× 7.5×7.5

A = 176.7375cm^2

Hope it helped you.

Answer:

The area of shaded = 13.09 cm^2

Step-by-step explanation:

360 /6 = 60

So the shaded area is 1/6 of the circle

Area of circle = pie r^2

So area of shaded = 1/6(pie r^2)

= 1/6 * 3.142 * 5^2

= 13.09 cm^2

Answer:192/19

Step-by-step explanation:

10/1 +2/19=190/19+2/19=192/19

Answer: 192/19

Step-by-step explanation:

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷The answer is 6 and -6.

Since absolute value is to figure the distance from 0, it is regardless of positive or negative.  

6, -6 are the only numbers.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

Answer:

52

Step-by-step explanation:

Answer:

The answer is,52

Step-by-step explanation:

The area of a 2D form is the amount of space within its perimeter. It's measured in square units like [tex]cm^{2}[/tex],[tex]m^{2}[/tex] , and so on. You must multiply the length by the width to find the area of a square formula or other quadrilateral.

According, to the question:

[tex]Area=l[/tex]×[tex]b[/tex]

area=13×4

area= 52

Hence, The scrapping area is 52 square feet.

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Answer:

2 19/72

Step-by-step explanation:

Overall without stating all the steps, it'd be 2.

Answer:

y=4

Step-by-step explanation:

2y+3=11

Subtract 3 from both sides: 2y=8

Divide both sides by 4: y=4

Answer:

Step-by-step explanation:

2y square root  plus 3 = 11

Answer: First option

Step-by-step explanation:

You have the quadratic equation given in the problem:

[tex]m^2-13m-30[/tex]

To find an equivalent expression you cacn factorize. Find two numbers whose sum is -13 and whose product is -30.

These numbers would be -15 and 2.

Therfore, you obtain the following equivalent expression:

[tex](m-15)(m+2)[/tex]

If you don't want to apply the method above, you can use the quadratic formula:

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

Where:

[tex]a=1\\b=-13\\c=-30[/tex]

When you susbstitute values you obtain that:

[tex]x=15\\x=-2[/tex]

Then you can rewrite the equation as [tex](m-15)(m+2)[/tex]

Answer:

[tex](m-15)(m+2)[/tex]

Step-by-step explanation:

The given expression is

[tex]m^2-13m-30[/tex]

Split the middle term

[tex]m^2-15m+2m-30[/tex]

Factor

[tex]m(m-15)+2(m-15)[/tex]

Factor further to obtain;

[tex](m-15)(m+2)[/tex]

The correct  answer is A.