Can someone explain how to identify linear equations please?

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Answer:

1: 30

2: 90

Step-by-step explanation:

Answer:

In 12 minutes, She can answer 30 math questions.

In 36 minutes, She can answer 90 math questions.

Step-by-step explanation:

Jill can answer 50 math questions every 20 minutes.

1)

How many questions can she answer in 12 minutes

Let (x) represent the number of questions she can answer in 12 minutes:

So, if 50 math question = 20 minutes

   and (x) math question = 12 minutes

To  solve for (x); we have:

(x) × 20 minutes = 50 math question × 12 minutes

(x)  = [tex]\frac{50*12}{20}[/tex]

(x)  = [tex]\frac{600}{20}[/tex]

(x)  = 30 math questions

∴  In 12 minutes, She can answer 30 math questions.

2)

How many math questions can she answer in 36 minutes?

Let (y) represent the number of questions she can answer in 36 minutes:

So, if 50 math question = 20 minutes

   and (y) math question = 36 minutes

To  solve for (y); we have:

(y) × 20 minutes = 50 math question × 36 minutes

(y) = [tex]\frac{50*36}{20}[/tex]

(y) = [tex]\frac{1800}{20}[/tex]

(y) = 90 math questions.

∴  In 36 minutes, She can answer 90 math questions.

There would be 16 girls in the club. You should use the expression: 23(total people in the club)-7(total boys in the club)=?,so 23-7=16.

Final answer:

To find the number of girls in a club where there are 7 more girls than boys and 23 members in total, we solve the equation 2b + 7 = 23 to determine that there are 8 boys and thus 15 girls.

Explanation:

If there are 7 more girls than boys in a club and there are 23 members in total, let's call the number of boys b. Then the number of girls would be b + 7. Given that the total number of members is 23, we can set up the equation b + (b + 7) = 23 to find the number of boys. Solving the equation:

Combine like terms: 2b + 7 = 23

Subtract 7 from both sides of the equation: 2b = 16

Divide both sides by 2: b = 8

Therefore, there are 8 boys in the club. To find the number of girls, we add 7 to the number of boys which gives us 8 + 7 = 15 girls.

The expression that represents the number of boys is simply b, which we have determined to be 8 in this context.

Answer:

Option A is correct.

Step-by-step explanation:

Let the full price of the wallet be represented by = x

Total amount that Nathan paid for the wallet = $17.67

Discount percentage = 5% or 0.05 = 0.05x (5% of full price)

So, equation becomes: full price - discount price = 17.67

[tex]x-0.05x=17.67[/tex]

[tex]0.95x=17.67[/tex]

x = $18.60

Therefore, the full price of the wallet is $18.60.

We can also check this by taking out 5% of 18.60

[tex]0.05\times18.60=0.93[/tex]

And[tex]18.60-0.93=17.67[/tex]

So, option A is correct.

The perimeter of a shape is the sum of all it sides.

The perimeter of the square is [tex]16x - 4[/tex]

Given that:

[tex]Length = 4x - 1[/tex]

The perimeter (P) of the square is:

[tex]P = 4 \times Length[/tex]

So, we have:

[tex]P = 4 \times (4x -1)[/tex]

Open brackets

[tex]P = 16x - 4[/tex]

Hence, the perimeter of the square is 16x - 4

See attachment for the image of the square

Read more about perimeters at:

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Answer:

4.)60

5.)about 13

6.)58

Step-by-step explanation:

Answer:

200 - (19.98 * 6) = x

Explanation:

200 - (19.98 * 6) = x

Solve Parentheses

200 - 119.88 = x

Subtract

80.12 = x

Switch so x comes first

x = 80.12

Answer:

12, 18, 24, 107

Step-by-step explanation:

Our inequality is

2x+7 ≤ 3x-5

First we will subtract 3x from each side:

2x+7-3x ≤ 3x-5-3x

-1x+7 ≤ -5

Subtract 7 from each side:

-1x+7-7 ≤ -5-7

-1x ≤ -12

Divide both sides by -1:

-1x/-1 ≤ -12/-1

When we multiply or divide an inequality by a negative number, we flip the inequality symbol:

x ≥ 12

We want numbers that are equal to or larger than 12; this leaves us with

12, 18, 24, and 107.

Use the distributive property. For the first set of parenthesis, multiply everything inside by 8. This gets you to 8x-8.

Next set: Everything inside by 3x: 12x+3x^2.

Next set: Everything inside by 6: 6x+12.

Put it all together: 8x-8-12x+3x^2+6x+12-3.

Combine like terms: 2x+1+3x^2

The second answer is correct since the associative property has the do with how you use parenthesis.

The ratio 9:7 gives you following statement:

Then the probability that Carl will lose is

[tex]Pr(\text{Carl will lose})=\dfrac{7}{16}.[/tex]

Answer: [tex]Pr(\text{Carl will lose})=\dfrac{7}{16}.[/tex]

The answer to this question is 290

The number has 2 hundreds so 200

The tens place is 9 more than the ones place so its 9

The last number is 0

Number line showing -20,0, 30 in attachment below.

( 2 + 76 ÷ 1 + 9 ) + 4 - 3 x 9

64

The answer would be D: an infinite number, because you can put as far as numbers can go, which is infinite.

Answer:

There are an infinite number of fractions in between numbers on a number line.

Step-by-step explanation:

The reason for this is because we have an infinite number of denominators to use. Therefore, we can not number the amount we use.

120 is the answer, I may be wrong.

h(x) = -5x² + 15x - 3

It's a quadratic function. The domain of quadratic function is the set of all real numbers.

Therefore

[tex]D=\mathbb{R}[/tex]-all real numbers.

Answer:

The estimated product is 12.

Step-by-step explanation:

When rounding fractions, we can round them to 0, 1/2 or 1. 6 4/11 can be rounded to 6 since 4/11 isn't near the half of 11. 2 1/12 can be rounded to 2 since 1/12 is obviously close to 0. 6 x 2 = 12. The estimated product is 12.

-3a-2b

-3 times -4= 12

-2 times -3= 6

12+6=18

hope this helps

also can u give brainy

Plug in a=-4 and b=-3 into -3a-2b

-3(-4) -2(-3)

= 12 + 6

= 18

Answer

18

Walter can mow 4/7 acres in an hour.

Steps:

Multiply. (7/10 * x = 10/7)

Multiply. (2/5 * 10/7 = 4/7)

Done!

-

Hope this helped! :)

Answer:

u

Step-by-step explanation:

Answer:

36 centimeters.

Step-by-step explanation:

1. To solve this problem you must find the Greatest common factor.

2. List the prime factor of 108 and 72:

[tex]108:(2)(2)(3)(3)(3)=(2^{2})(3^{3})\\ 72:(2)(2)(2)(3)(3)=(2^{3})(3^{2})[/tex]

3. Now, you must choose the common prime numbers with the lowest exponents and multiply them:

[tex](2^{2})(3^{2})=(4)(9)=36[/tex]

Answer: He needs 36 cm to make the shelves.

Step-by-step explanation:

Since we have given that

Length of first wood = 108 cm

Length of second wood = 72 cm

We need to find the greatest length so that he can make the shelves.

Greatest length = h.c.f. of 108 and 72 { 36 cm.

Hence, he needs 36 cm to make the shelves.

We need 10 small sized tables and 9 large sized tables to fit 150 people.

Two or more expressions connected with an equal sign is called as Equation.

We have been given that a catering company is expecting 150 people to attend the wedding.

There are two  kinds of tables,

The first kind of tables are small tables in which six people can be fitted.

The second kind of table are big tables in which ten people can be fitted.

Let us form a linear equation by considering  x as the tables which can fit 6 people and y as the tables which can fit 10 people,

The total number of people that can fit on all available tables as:

6x+10y

If there are total 150 people expected in the wedding, then equation can be framed as:

6x+10y=150

Now let us take x as 10.

Then

6(10)+10y=150

60+10y=150

10y=150-60

10y=90

y=9

Therefore, you'd need 10 small sized tables and 9 large sized tables to fit 150 people.

To learn more on Equation click:

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[tex]Solution,solve\:for\:x,\:3x-24=81\quad :\quad x=35[/tex]

[tex]Steps: 3x-24=81[/tex]

[tex]\mathrm{Add\:}24\mathrm{\:to\:both\:sides}, 3x-24+24=81+24[/tex]

[tex]\mathrm{Simplify}, 3x=105[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}3, \frac{3x}{3}=\frac{105}{3}[/tex]

[tex]Simplify, x=35[/tex]

The correct answer is B. 105/3

Hope this helps!!!

<3 - austint1414

p = [tex]\frac{26}{17}[/tex]

distribute the parenthesis on both sides of the equation.

6p - 8 = - 8p - 3p + 18

6p - 8 = - 11p + 18 ( add 11p to both sides )

17p - 8 = 18 ( add 8 to both sides )

17p = 26 ( divide both sides by 17 )

p = [tex]\frac{26}{17}[/tex]

The scientific notation of the given 0.0123 will be 123 x 10^{-4}.

The number is written in the form  a x 10^b.

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.

We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as Better readability due to compact representation.

Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

The scientific notation of the given 0.0123 will be 123 x 10^{-4}.

Learn more about scientific notation here:

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Hey there!

There are a few ways to do this, but I'll give you the one I can explain best.

This is a right triangle. We know this because one of the angles is 90º.

The lengths of the sides of the right triangle can be represented by the following equation:

a² + b² = c²

We already have the values for a and c, c being the hypotenuse.

3² + b² = (√18)²

Let's square a and c.

9 + b² = 18

Subtract 9 from each side of the equation.

b² = 9

To find the final value for b, find the square root of each side of the equation.

b = 3

Your answer is 3, or option D.

Hope this helps!

The length of leg s in the right angled triangle given is 3.

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. A right angled triangle is a triangle in which of its angle measure 90 degrees.

Here, we have,

This is a right triangle. We know this because one of the angles is 90º.

The lengths of the sides of the right triangle can be represented by the following equation:

a² + b² = c²

We already have the values for a and c, c being the hypotenuse.

3² + b² = (√18)²

Let's square a and c.

9 + b² = 18

Subtract 9 from each side of the equation.

b² = 9

To find the final value for b, find the square root of each side of the equation.

b = 3

The answer is 3, or option D.

To learn more about triangles, please check: brainly.com/question/22949981

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ANSWER

The correct answer is option C

EXPLANATION

The graph of [tex]f(x)=tan^{-1}(x)[/tex] is shown in the attachment.

You can see clearly that as

[tex]x\rightarrow \infty, f(x)\rightarrow \frac{\pi}{2}[/tex]

and as

[tex]x\rightarrow -\infty, f(x)\rightarrow -\frac{\pi}{2}[/tex]

These are are actually the two horizontal asymptotes to the given function.

Answer:

The answer is C I just took the test.