Guide Questions:

1. How students have age between 12 and 14?

2. How many 14-year-old grade 7 students do there? ​

Answer: The correct option is B.

Step-by-step explanation:

(x+5)(2x-1)=3(x+5)

Multiply the parentheses

2x^2 - x + 10x - 5 = 3x + 15

Collect like terms

2x^2 + 9x - 5 = 3x + 15

Move the expression to the left hand side and change its sign, then equate it to 0

2x^2 + 9x - 5 - 3x -15 = 0

Collect like terms

2x^2 + 6x - 20 = 0

Divide each term of the equation by 2

x^2 + 3x - 10 = 0

Rewrite the expression in factorized form

x^2 + 5x - 2x - 10 = 0

Factor the expression

x(x + 5) - 2(x + 5) = 0

(x + 5) (x - 2) = 0

Separate into possible cases but when the product of factors equals 0, at least one factor is 0.

x + 5 = 0———equation (1)

x - 2 = 0———-equation (2)

Solve the equations

x + 5 = 0———equation (1)

Make x the subject

x = 0 - 5

x = -5

x - 2 = 0———equation (2)

Make x the subject

x = 0 + 2

x = 2

Hence, the possible values of x are -5 and 2.

Answer:

x = 5

Step-by-step explanation:

Add the equations

x + y = 3

x - y = 7

––––––––

2x = 10

Divide both sides by2

x = 5

Note: for the equations in the question,

none of the given answers are correct.

Answer:

749 lbs

Step-by-step explanation:

weight of the water in the mattress = volume of the mattress x weight of water

volume of the mattress = volume of a cuboid = length x width x height

6 x 2 x 1 = 12 ft³

weight of the water in the mattress = 12 x 62.4 = 748.8 lbs

749 lbs to the nearest pound

Answer:

c ......................

Answer:

So what are you asking me to do

Answer:

A.

Step-by-step explanation:

Given:

John had to pay a combined electric and gas bill $150.

The electric portion of the bill was $90.

To find:

The ratio of money spent on electric to that on gas.

Solution:

Let x be the amount of gas bill.

The electric portion of the bill was $90 and John had to pay a combined electric and gas bill $150.  So,

[tex]90+x=150[/tex]

[tex]x=150-90[/tex]

[tex]x=60[/tex]

The gas portion of the bill was $60.

The ratio of money spent on electric to that on gas is:

[tex]\text{Required Ratio}=\dfrac{\text{Electric bill}}{\text{Gas bill}}[/tex]

[tex]\text{Required Ratio}=\dfrac{90}{60}[/tex]

[tex]\text{Required Ratio}=\dfrac{3}{2}[/tex]

[tex]\text{Required Ratio}=3:2[/tex]

Therefore, the ratio of money spent on electric to that on gas is 3:2.

Answer:

Step-by-step explanation:Let's solve for c.

x2+10x+c=−3+c

Step 1: Add -c to both sides.

x2+c+10x+−c=c−3+−c

x2+10x=−3

Step 2: Add -x^2 to both sides.

x2+10x+−x2=−3+−x2

10x=−x2−3

Step 3: Add -10x to both sides.

10x+−10x=−x2−3+−10x

0=−x2−10x−3

Step 4: Divide both sides by 0.

0

0

=

−x2−10x−3

0

c=

−x2−10x−3

0

Answer:

c=

−x2−10x−3/0

hope it helps :D

Answer:

4rfjq3yr i

Step-by-step explanation:

Answer:

✔ f(–6) = 8

✔ –2

✔4

Step-by-step explanation:

Got them right just now on Edge !!!

Answer:

Pythagoras Theorem: It is a basic relation in Euclidean geometry among the sides of a right-angled triangle. Pythagoras Theorem is commonly used to find the length of an unknown side in a right-angled triangle. It describes the interrelationship between the base, perpendicular and hypotenuse of a right-angled triangle. The converse of Pythagoras Theorem is used to check whether a triangle is a right-angled triangle or not

Step-by-step explanation:

Statement of Pythagoras Theorem

The Pythagoras Theorem states that in a right-angled triangle the sum of square of the base and square of the perpendicular is equal to the square of the hypotenuse.

Pythagorean theorem

In the right angled triangle there is a relationship that governs the length of the three sides. if we knows the length of any two sides, the third side may be calculated by the use of the Pythagorean theorem. this theorem States the square on the hypotenuse of a right angle triangle is equal to the sum of the squares on the remaining two sides.

Answer:

True i think

Step-by-step explanation:

Answer:

35.97

Step-by-step explanation:

113 divided by pie (3.14)

Answer:

2(6.3) + b = 15.7

12.6 + b = 15.7

b = 3.1

Answer:

$986.84

Step-by-step explanation:

exchange rate is the rate at which one currency is exchanged for another currency

Amount of dollars bought = amount of RS / selling rate

75,000 / 76 = $986.84

Answer:

2x⁴ + 4x³ + x² + 8x - 6

Step-by-step explanation:

(2x² + 4x - 3)(x² + 2)

2(x² + 2) · x² + 4x(x² + 2) - 3(x² + 2)

2x⁴ + 4x² + 4x(x² + 2) - 3(x² + 2)

2x⁴ + 4x² + 4x³ + 8x - 3x² - 6

2x⁴ + x² + 4x³ + 8x - 6

2x⁴ + 4x³ + x² + 8x - 6

Answer:

1. 3/5

2. 2/5

3. 1/5

Step-by-step explanation:

I'm pretty sure this is the answer :)

Answer:

A

Step-by-step explanation:

Answer: i have no idea how do i get rid of this answer

Step-by-step explanation:

Answer:

the pattern is 4, 13, 4, 13. I dont know what the answer choices are, but the first 4 legths put together are 34 inches.

Step-by-step explanation:

look above, hope this helps...

brainliest...

Answer:

The order of the first four strings is 1: 4in 2: 13in 3: 40in 4: 121in

Answer:

answer is 18.76 percent.

Step-by-step explanation:

CP= $40

SP= $32.5

Markdown percent=?

now,

markdown %= CP-Sp/CP×100%

=7.5/40×100%

=750/40

=18.75%

The amount to be reduced is:  $40 -  $32.5 =  $7.5

The percentage decrease is: (7.5 : 40) * 100 = 18.25%

Answer:

y ≤ 0

Step-by-step explanation:

The correct option is option C. The range of the given function is less than or equal to zero i.e., y ≤ 0.

What are domain and range of a function?

Range is the set of all values that the given function can output, whereas domain is the input or set of values for which the function is defined.

The graph of a function is shown. We know that the range of function is the output of the input of values we give to the function. Another thing to keep in mind is that we often plot functions with the outputs on the vertical axis and the inputs on the horizontal axis.

From graph it is clear that the function is going down from axis to negative y - axis.

So , it is clear that range will be less than or equal to zero.

i.e.,

Range is :

y ≤ 0

Therefore , the correct option is option C. The range of the given function is less than or equal to zero i.e., y ≤ 0.

Learn more about range of a function here :

https://brainly.com/question/10197594

#SPJ2

Answer:

0

Step-by-step explanation:

3(3x3)(45x6)(45x7)(56x5)(5x5)x0 =0

Answer:

Second one

Step-by-step explanation:

Integers are any whole numbers ( can be negative or positive )

The only answer choice that contains only whole numbers is the second one

Answer:

1. Yes

2. Yes

Step-by-step explanation:

A monomial is an algebraic expression consisting of one term. So, 29 is a monomial.

[tex]5x^{7}[/tex] has only one term. So, [tex]5x^{7}[/tex] is a monomial.

2/3 of 30

30:3=10

10*2=20

2/3 of 30 = 20

Answer:

20

Step-by-step explanation:

of means multiply

2/3 * 30

60/3

20

Answer:

[tex]21x^{7}y^{11}[/tex]

Step-by-step explanation:

Remove the parentheses and take out the constansts.

[tex](7 x 3) x^{2} x^{5} y^{3} y^{8}[/tex]

Simplify 7 x 3 to 21.

[tex]21x^{2} x^{5} y^{3} y^{8}[/tex]

Use the product rule: [tex]x^{a} x^{b} = x^{a + b}[/tex]

[tex]21x^{2 + 5}y^{3+8}[/tex]

Simplify 2+5 to 7.

[tex]21x^{7}y^{3+8}[/tex]

Simplfiy 3 + 8 to 11.

[tex]21x^{7}y^{11}[/tex]

Answer:

Proved

Step-by-step explanation:

Given

[tex]UPC = 0-58200-48826-5[/tex]

Required

Show that it is valid

Add up the elements at odd positions

[tex]Odd = 0 + 8 + 0 + 4+8+6[/tex]

[tex]Odd = 26[/tex]

Multiply by 3

[tex]Product = 26 * 3[/tex]

[tex]Product = 78[/tex]

Add up the elements at even positions

[tex]Even = 5 + 2 + 0 + 8 + 2 + 5[/tex]

[tex]Even = 22[/tex]

Add up both results

[tex]Result = 78 +22[/tex]

[tex]Result = 100[/tex]

Take modulus of 10

[tex]Result \% 10 = 100 \% 10[/tex]

[tex]Result \% 10 = 0[/tex]

Since the result of the modulus is 0, then the number is valid