Sheldon bought a $20 book at a 35% discount. He wrote an expression to find the discounted price. 20−0.35(20) ​ Which expression is equivalent to discounted price Sheldon paid?
A (1−0.35)20
B (1+0.35)20
C (20−0.35)20
D 20+0.35(20)

1. less than  ( I gave x a number and did both equations )

2. the equation = 400 which is greater than 35

Answer:

80%

Step-by-step explanation:

Let us suppose x percent of Bill's salary is equal to Jacks's salary.

Thus, we can write

x% of 87.50 = 70

Mathematically, we can write this as

[tex]0.0x\times87.50=70[/tex]

Solve the equation for x

[tex]0.0x=\frac{70}{87.50}\\\\x=\frac{70}{87.50}\times100\\\\x=80[/tex]

Therefore, Jack's salary is 80% of Bill's salary

The x-intercepts of the graphed function are -2, -1, 1, and 2

The x-intercept is the point where the graph crosses the x-axis

This means that the point on the x-axis where y = 0

From the graph, we have:

x = -2, -1, 1, and 2 when y = 0

Hence, the x-intercepts of the graphed function are -2, -1, 1, and 2

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Answer:-  2. ∠JKM≅∠LKM

5. MK≅MK

6. AAS congruence postulate.

7. Corresponding parts of congruent triangles are congruent.

8. Definition of equidistant.

Therefore the complete proof will be

Proof :- 1. KM is the line bisector of ∠JKL.  [Given]

2. ∠JKM≅∠LKM             [Definition of bisector]

3. ∠KXM and ∠KYM are right angles [Given]

4. ∠KXM ≅ ∠KYM [All right angles are congruent]

5. MK≅MK  [reflexive property of congruence]

6. ΔKXM ≅ ΔKYM  [AAS congruence postulate]

7. MX≅MY [Corresponding parts of congruent triangles are congruent]

8. Point  M is equidistant from the sides of ∠JKL [Definition of equidistant]

Hence proved.

Answer:

29 4/25 square inches (not given in the options)

Step-by-step explanation:

A square is a plain 4 sided shape with equal sides. As such, all sides of a square are equal. If the length o a side of a square is s, the area of the square will be s² while the perimeter will be 4s.

Area of square = (5 2/5 inches)²

= (27/5 inches)²

= 729/25 square inches

= 29 4/25 square inches

Answer:

The answer is [tex]9[/tex]

Step-by-step explanation:

we have

[tex](243)^{\frac{2}{5}}[/tex]

we know that

[tex]a^{\frac{n}{m}}=\sqrt[m]{a^{n}}[/tex]

so

[tex](243)^{\frac{2}{5}}=\sqrt[5]{243^{2}}[/tex]

Remember that

[tex]243=3^{5}[/tex]

Substitute

[tex]\sqrt[5]{243^{2}}=\sqrt[5]{(3^{5})^{2}}\\ \\= \sqrt[5]{(3^{10})}\\ \\=3^{\frac{10}{5}}\\ \\= 3^{2} \\ \\=9[/tex]

Answer:

24(2+3)=24.2+24.3=48+72

Step-by-step explanation:

Given form of number is 48+72.

we have to apply the distributive property to express the above number.

The distributive property is

a(b+c)=ab+ac

Multiply the common term with the term inside the parentheses

So to express 48+72 we have to take the highest factor outside

Let us take 24 outside, we get

24(2+3)=24.2+24.3=48+72

Hence applied

The required expression is [tex]24(2+3)[/tex] by using the distributive property.

Given:

The given expression is [tex]48+72[/tex].

To find:

The equivalent expression by using the distributive property.

Explanation:

According to the distributive property:

[tex]a(b+c)=ab+ac[/tex]

We have,

[tex]48+72[/tex]

It can be rewritten as:

[tex]48+72=24\times 2+24\times 3[/tex]

Using the distributive property, we get

[tex]48+72=24(2+3)[/tex]

Therefore, the required expression is [tex]24(2+3)[/tex].

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Generally, whenever a point (x,y) is reflected across the y axis, the y coordinate stays the same and the sign of x coordinate changes.

So [tex](x,y)[/tex] changes to [tex](-x,y)[/tex].

Point D in the diagram shown has coordinates [tex](3,-1)[/tex]. According to the rule, the x-coordinate, 3, will change to -3 and the y-coordinate, -1, would stay the same.

Hence, our image of D after the reflection about y-axis would have coordinates [tex](-3,-1)[/tex].

ANSWER: [tex](-3,-1)[/tex]

Answer:

(-3, -1)

Step-by-step explanation:

lcm 16 & 10 = 80

lcm j^8 & j^9 = j^9

lcm k^8 & k^4 = k^8

lcm m^5 & m^6 = m^6

answer is: 80j^9k^8m^6

Answer:

4.

Step-by-step explanation:

[tex]18x^{2} -32 = 2(9x^{2} -16)[/tex]

we apply difference of squares

2(3x-4)(3x+4)

So, the missing term is 4.

The missing term in the factorization 18x² − 32 = 2(3x + ?)(3x − 4) is 4.

Factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form. Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.

For an integer, Factorization is decomposition of that integer in terms of smaller integers; when multiplied with each other give back that considered number. Those composing integers are called factors of that considered integers.

WE have given an expression as;

18x² − 32 = 2(3x + ?)(3x − 4)

Now we apply difference of squares;

2(9x² - 16)

2(3x + 4)(3x - 4)

OR

2(3x-4)(3x+4)

Therefore, the missing term is 4.

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Answer:

  28

Step-by-step explanation:

Let n represent the number.

Twice the sum of the number and 2 is ...

  2(n +2)

Three times the difference of the number and 8 is ...

  3(n -8)

The problem statement tells us these quantities are equal, so ...

  2(n +2) = 3(n -8) . . . . the given quantities are equal

  2n +4 = 3n -24 . . . . . use the distributive property to eliminate parentheses

  2n +28 = 3n . . . . . . . add 24

  28 = n . . . . . . . . . . . . subtract 2n

The number is 28.

_____

Check

The sum of the number and 2 is 30; twice that is 60.

The difference of the number and 8 is 20; three times that is 60--the same number.

Answer: So, the required inequality that can be used to represent this situation is [tex]2x+3\leq 31[/tex]

Step-by-step explanation:

Let the age of Catie's brother be 'x'.

Let the age of Catie be 'x+3'.

According to question, the sum of their ages is no more than 31.

So, it becomes,

[tex]x+x+3\leq 31\\\\2x+3\leq 31[/tex]

So, the required inequality that can be used to represent this situation is

[tex]2x+3\leq 31[/tex]

divide 714 by 12

714 / 12 = 59.5 spools per week

The required equation of the line is y = 3x which passes through the origin with the slope 3.

The slope of the line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

We have to determine the equation of the line that passes through the origin with slope 3.

Let's assume slope-intercept form:

So required line in the slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

In this case, the slope of line m = 3, and the line passes through the origin

So, therefore equation will be:

y = 3x + 0 or

y = 3x

Thus, the required equation of the line is y = 3x which passes through the origin with the slope 3.

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