if x+y = 2y-x+1=5 pls can you give me a well explained solution​

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Answer:

  (a)  A and B are similar but not congruent

Step-by-step explanation:

All of the rectangles have sides in the ratio of 2:1, so are all similar. Only the rectangles that are the same size are congruent: A and C.

  A and B are similar, but not congruent.

Answer:

A = 7,850

Step-by-step explanation:

1. Area = 3.14(50)^2

2. A = 3.14(2500)

3. A = 7,850

Total 1920 cubes can fit in the given prism.

Dimensions of prism are: [tex]2\dfrac{2}{5} = \dfrac{12}{5}[/tex] ,  [tex]3\dfrac{1}{5} = \dfrac{16}{5}[/tex],  and 2 inches respectively.

Size of a side of given cube = 1/5 inch

Number of cubes that can fit in given prism.

This problem is all about spaces. Only that number of cube will fit, which the prism will allow to. The given prism has got some space in it(The volume), and the cubes have some size (their volume).

Since prism is a cuboid(which is mistakenly written as rectangular in the question), thus we have:

Volume of prism = multiplication of lengths of its sides = [tex]\dfrac{12}{5} \times \dfrac{16}{5} \times 2 = \dfrac{384}{25}[/tex] cubic inches

Volume of the cube = cube of its one side's length = [tex](\dfrac{1}{5})^3 = \dfrac{1}{125}[/tex] cubic inches

We will divide the total space with space amount each cube take so as to find number of cubes allowed by prism to be fitted in it.

Thus:

[tex]\text{Number of cubes} = \dfrac{\dfrac{384}{25}}{\dfrac{1}{125}} = 1920 \: \rm cubes[/tex]

Thus, in total, there can be 1920 cubes fitted in the prism.

Learn more about volume here:

https://brainly.com/question/46030

The rectangular prism can hold 1920 cubes with edge lengths of [tex]\frac{1}{5}[/tex] inch. This is calculated by finding the volume of the prism and dividing it by the volume of one small cube.

To find how many cubes with an edge length of [tex]\frac{1}{5}[/tex] inch fit into a rectangular prism with dimensions [tex]2\frac{2}{5}[/tex] inches, [tex]3\frac{1}{5}[/tex]  inches, and 2 inches, we follow these steps:

Convert the dimensions of the prism into improper fractions:

Calculate the volume of the prism:

Determine the volume of one small cube:

Find the number of small cubes by dividing the volume of the prism by the volume of one small cube:

Thus, 1920 cubes with an edge length of [tex]\frac{1}{5}[/tex] inch can fit into the given rectangular prism.

Corrected question:

A rectangular prism measures [tex]2\frac{2}{5}[/tex] inches by [tex]3\frac{1}{5}[/tex] inches by 2 inches

How many cubes with edge length [tex]\frac{1}{5}[/tex] inch fit in the prism?

Answer: y=4

Step-by-step explanation:

7-y-y=-1

Combine like terms

7-2y=-1

Subtract seven on both sides of the equation

7-7-2y=-1-7

-2y=-8

Divide both sides by -2

-2y/-2=-8/-2

y=4

Check the answer by plugging 4 back in the equation for y.

7-4-4=3-4=-1

The final answer is y=4

Answer:

A. The sum is a rational expression.

Step-by-step explanation:

The complete questions is:

Let P be the set of polynomials. Let a, b, c, and d be elements of P such that b and d are non-zero elements of P. Which of the following is  true regarding the sum below?

a/b+c/d

A) The sum is a rational expression

B) The sum is an integer

C) The sum is a rational number

D) The sum is a polynomial

Solution:

We are given:

a/b + c/d

b and d are non-zero elements:

Therefore:

a/b is a rational number.

c/d is a rational number.

We see that there is an addition sign between the two terms:

So, sum of rational expression is also a rational expression  

Thus, The correct option is:

A. The sum is a rational expression.

The sum of the given fractions a/b + c/d, where a, b, c, and d are polynomials, can be calculated by finding a common denominator, which is typically the product of polynomials b and d, and combining the adjusted numerators.

The question deals with the operation of addition of fractions where the denominators are polynomials. Given the expression a/b + c/d, where a, b, c, and d are polynomials, and b and d are non-zero polynomials, we want to find their sum. It is important to note that adding or subtracting fractions requires a common denominator.

To combine a/b with c/d, we must first find a common denominator, which will be the product of b and d if they have no common factors. After that, we adjust the numerators accordingly and perform the addition. The resulting fraction will have a numerator that is the polynomial sum of ad and bc, and a denominator that is the polynomial product bd.

Answer:

80%

Step-by-step explanation:

To find the percentage, we have to take 32 over 40 and multiply it by 100

32/40 * 100 = 80%

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Answer:

6

Step-by-step explanation:

[tex] - \frac{8}{3} \div - \frac{4}{9} = - \frac{8}{3} \times -\frac{9}{4} = \frac{72}{12} = 6[/tex]

I am joyous to assist you anytime.

Answer:y=4/3

y is directly proportional to x^2 is written as

[tex]y \alpha {x}^{2} [/tex] introducing a constant,

y=kx^2

but from the question, when y=2 , x=3 . putting it in the formula to get the value of k

[tex]2 = {3}^{2} \times k[/tex]

2=9k . dividing through by 9 to get the value of k

[tex] \frac{2}{9} = \frac{9k}{9} [/tex]

[tex]k = \frac{2}{9} [/tex]

putting it in the general expression

[tex]y = \frac{2}{9} x[/tex]

the value of y when x=6

[tex]y = \frac{2}{9} \times 6[/tex]

[tex]y = \frac{4}{3} [/tex]

therefore the value of y when x=6 is

4/3

Answer:

3/12

Step-by-step explanation:

it was right on, you know, where its from

The product Square root of 3/16 • Square root of 3/9  = 3/12 = 1/4.

The root is figuring out what number accelerated by way of itself is the same as the variety under the square root image. So: √9= 3, due to the fact 3² $ -3² = 9

square root, in mathematics, a component of a variety of that, while accelerated by way of itself, gives the authentic quantity. for example, each 3 and –3 are square roots of 9.

The square root of 3/16 • Square root of 3/9

⇒[tex]\sqrt{\frac{3}{16} }[/tex]×[tex]\sqrt{\frac{3}{9} }[/tex]

⇒3/4*3

⇒1/4.

Learn more about square roots here:-https://brainly.com/question/11388449

#SPJ2

Answer:

-3.3, -3.5, -3.7

Answer: 1755 yards

Step-by-step explanation:

apex

Answer:

$192.18

Step-by-step explanation:

$531.49+$240.42+281.67

$1053.58-$275.66-$48.29-$107.64-$429.81

=$192.18

Answer:

A and D

Step-by-step explanation:

Edg 2022

Answer:

5⁷

Step-by-step explanation:

5*5*5*5*5*5*5

here,

count how many 5 are there - 7

so,

exponential notation form:

5*5*5*5*5*5*5 = 5⁷

Answer:

5*5*5*5*5*5*5 in exponential notation form is 5⁷

Hey!

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

Absolute Value - the enormity of a number regarding its sign.

|-5| = 5

|5| = 5

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

Hope This Helped! Good Luck!

Answer:

x = ± [tex]\sqrt{10}[/tex]

Step-by-step explanation:

Given

5 - 2x² = - 15 ( subtract 5 from both sides )

- 2x² = - 20 ( divide both sides by - 2 )

x² = 10 ( take the square root of both sides )

x = ± [tex]\sqrt{10}[/tex] ← exact solutions

2.75+3x=4.25+2.50x

3x - 2.50x = 4.25 - 2.75

0.50x = 1.50

x = 1.50 ÷ 0.50

x = 3

Understand?

Answer:

7/96 m

Step-by-step explanation:

7/12 ÷ 8 = 7/96

Check the picture below.

Answer:

The perimeter of the equilateral triangle is 90 units.

Step-by-step explanation:

Let the side of the triangle be = s

So, perimeter of equilateral triangle = [tex]s+s+s=3s[/tex]

One side measures 9+3x and the measure of another side is 5x-5.

Both are equal, so we get the sides as:

[tex]9+3x=5x-5[/tex]

[tex]3x-5x=-5-9[/tex]

[tex]-2x=-14[/tex]

x = 7

We get the sides as :

First side [tex]9+3(7)[/tex]

= 30

OR

Second side [tex]5(7)-5[/tex]

= 30

And the third side will also be 30 as it is equilateral triangle.

Hence, the perimeter is = [tex]30+30+30=90[/tex] units

Therefore, the perimeter of the equilateral triangle is 90 units.

Answer:120

Step-by-step explanation:

10•12=120

Answer:

120

Step-by-step explanation:

Answer: x = 1.5

Step-by-step explanation:

First, we need to isolate the absolute value.

+ 3 to each side.

|2x + 3| - 4 = 4

Then, add 4 more to each side.

|2x + 3| = 8

Subtract 3 from each side.

|2x| = 5

Divide each side by 2

|x| = 1.5

Answer:

no solutions

Step-by-step explanation:

[tex]-3|2x+3|-4=1[/tex]

[tex]-3|2x+3|=1+4[/tex]

[tex]-3|2x+3|=5[/tex]

[tex]{\left|2x+3\right|}=\frac{5}{-3}[/tex]

The absolute value of a number is always positive or zero.

it equals b 37 58 it welcome

Answer:

b≥−  37/76

​  

Step-by-step explanation:

\begin{aligned}-67b+6 & \leq 9b + 43 \\\\ -67b&\leq 9b+37 &(\text{Subtract } 6 \text{ from both sides}) \\\\ -76b &\leq 37 &(\text{Subtract } 9b \text{ from both sides})\\\\ 76b&\geq -37&(\text{Multiply both sides by }-1)\\\\ b&\geq-\dfrac{37}{76}&(\text{Divide both sides by }76) \end{aligned}  

−67b+6

−67b

−76b

76b

b

​  

≤9b+43

≤9b+37

≤37

≥−37

≥−  

76

37

​  

​  

(Subtract 6 from both sides)

(Subtract 9b from both sides)

(Multiply both sides by −1)

(Divide both sides by 76)

​

Answer:

your adding 6 each time so just find the 15th term

Step-by-step explanation:

-3 + 6= 3 and 3+6 = 9

Answer:

the answer should be 2, -2, 7, -7

For this case we must factor the following expression:

[tex]x ^ 2-3x-4[/tex]

We must find two numbers that, when multiplied, result in -4, and when added, result in -3.

These numbers are: -4 and +1

[tex]-4 + 1 = -3\\-4 * (+ 1) = - 4[/tex]

So:

[tex]x ^ 2-3x-4 = (x-4) (x + 1)[/tex]

Answer:

[tex](x-4) (x + 1)[/tex]

Option A

Answer:

(x+1) and (x-4)

Step-by-step explanation:

Since, factors of an expression is the values which after multiplying together give the same expression.

Given quadratic equation,

[tex]x^2 - 3x - 4[/tex]

By the middle term splitting,

[tex]x^2 - (4 - 1)x - 4[/tex]

By distributive property,

[tex]x^2 - 4x + x - 4[/tex]

[tex]x(x-4)+1(x-4)[/tex]

[tex](x+1)(x-4)[/tex]

Since,

[tex]x^2 - 3x - 4=(x+1)(x-4)[/tex]

i.e. the factors of [tex]x^2 - 3x - 4[/tex] are (x+1) and (x-4).

Answer:

a. Fraction of earnings that Mariano put into each piggy bank  is 1/12

b. Mariano earns $28.8

Step-by-step explanation:

Mariano divides his earning in a saving account and 3 piggy banks.  

First ,  we have to know the fraction that we divide in the 3 piggy banks.

Piggy banks =Total earning-Saving account

Saving account 3/4,  

Total earning is 1

to rest both term we have to get the same denominator , so we can say that the total earning is 4/4

Piggy banks =4/4-3/4=( 4-3)/4=1/4

Piggy banks =1/4

Each piggy bank will be 1/3 of that 1/4

1/3 x 1/4=

For fraction multiplication, multiply the numerators and then multiply the denominators to get

1×1/3×4=1/12

This fraction cannot be reduced.

b. Mariano adds $2.40

1/12 is 2.40

total earning  is ?

We use cross-multiplication

a/b=c/d  replacing   (1/12)/2.40 = 1/ ?

So,  the total earning (?) is 1 x 2.40/ (1/12)

= 2.40 x 12=$28.8

Mariano puts 3/4 of his earnings in his savings account and divides the rest equally into 3 piggy banks. The fraction of his earnings that he puts into each piggy bank is (1/12)x dollars. Mariano earns 0 dollars per week delivering papers.

To find the fraction of Mariano's earnings that he puts into each piggy bank, we need to calculate 3/4 of his earnings first. Let's assume he earns x dollars per week. Therefore, he puts 3/4 of x dollars into his savings account, which is (3/4)x dollars. The remaining (1/4)x dollars is divided equally into 3 piggy banks. So, each piggy bank gets (1/12)x dollars.

To find out how much Mariano earns per week delivering papers, we need to solve the equation (3/4)x + (1/12)x = x. Simplifying the equation, we get 9x/12 + x/12 = x. This is equivalent to (10/12)x = x. Multiplying both sides by 12, we get 10x = 12x. Subtracting 10x from both sides, we get 2x = 0. Therefore, x = 0.

[tex]\text{Hello there!}\\\\\text{A simple way to find the value of x is to find the scale factor}\\\\\text{When you flip the shapes to make it look exactly the same,}\\\text{you would see that the numbers are divisible to it}\\\\\text{Side 21 is congruent to side 3}\\\\\text{Divide 21 by 3 and you'll get 7 (1/7 sine we're going to a smaller shape)}\\\\\text{The x side is congruent to the 91 side}\\\\\text{Divide 91 by 7}\\\\91\div7=13\\\\\large\boxed{x=13}[/tex]

Answer:

Combinations:

A committee consisting of three members with the same role

Selecting two sandwiches from a menu of 10

Step-by-step explanation:

A combination is a selection of items from a collection, such that the order of selection does not matter.

A permutation is a selection of items from a collection, such that the order of selection matters.

A. The PIN for a bank or credit card - order matters → permutation

B. A committee consisting of three members with the same role - order does not matter → combination

C. A committee consisting of a president, vice president, and secretary - order matters → permutation

D. Final standings in a professional sports league - order matters → permutation

E. Selecting two sandwiches from a menu of 10 - order does not matter → combination

Answer:  1848 feet per minute

Step-by-step explanation:

[tex]\dfrac{21\ miles}{1\ hour}\times \dfrac{1\ hour}{60\ minutes}\times \dfrac{5280\ feet}{1\ mile}\quad =\dfrac{21\times 5280\ feet}{60\ minutes}\quad =\dfrac{110,880\ feet}{60\ minutes}\\\\\\=\large\boxed{1848\ feet\ per\ minute}[/tex]