Explain what the vertical line test is and how it is used.

Answer:

2.5 glasses of water

Step-by-step explanation:

Answer:

he drank 2 and a half glasses of water

Step-by-step explanation:

all u have to do is add up 2 and 1/2 to see how much he drank in all

Answer:

answer is 420-69

Step-by-step explanation:

because those numbers are great

Answer:

19.3%

Step-by-step explanation:

There were 10% * 60 = 6 more boys, and 25% * 100 = 25 more girls, so in total 31 more students got on the honor roll. From 160 to 191, the percentage is 31/160 = 0.19375  

0.19375 = 19.3%

Answer:

[tex] \sqrt[6]{729} [/tex]

Answer:

  (a)  1

Step-by-step explanation:

The number of significant digits in the answer will be the minimum of the numbers of significant digits in the factors. Here, the value with only 1 significant digit is (1).

  1 most affects the number of significant digits in the answer

Answer:

A

Step-by-step explanation:

Answer:

y = 1/2.

Step-by-step explanation:

Note that 27 = 3^3 and 9 = 3^2:

27^y

= (3^3)^y

= 3^3y.

9/3^y

= 3^2/3^y

= 3^(2-y)

So 3^3y = 3^(2-y)

and therefore:

3y = 2 - y

4y = 2

y = 1/2.

Given that:

27^y = 9/3^y

⇛27^y × 3^y = 9

⇛(3^3)^y × 3^y = 9

⇛3^3y × 3^y = 9 [°.° (a^m)^n = a^mn]

⇛3^(3y+y) = 9 [°.° a^m×a^n = a^m+n]

⇛3^(4y) = 9

⇛3^(4y) = 3^2 [Bases equal ⇛exponents to equal]

.°. 4y = 2

y = 2:4 = 1/2

Hence, the value of y is 1/2.

Answer:

hamburgers - $4.30 hotdogs- $3.50

The required cost of a hamburger and a hotdog is $4.3 and $3.5 respectively.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

here,
Let the cost of the hamburger be x and the cost of hotdogs be y.
According to the quesiton,

5x + 2y = 28.50 - - - - (1)
5x /2 + 2y / 4 = 12.50
10x + 2y = 50 - - - -(2)
From equation 1 and 2
5x = 21.5
X = $4.3
Now,
5×4.3 + 2y = 28.50
y = 7 / 2
y = $3.5

Thus, the required cost of hamburgers and hotdogs is $4.3 and $3.5 respectively.

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Answer:

$63

Step-by-step explanation:

so we want to find 9/9 of her allowance, which is 100%

we could use a proportion:

let 'a' = full allowance

[tex]\frac{28}{1}[/tex] ÷ [tex]\frac{4}{9}[/tex] = [tex]\frac{a}{1}[/tex] ÷ [tex]\frac{9}{9}[/tex]

when we divide fractions we multiply by the reciprocal to get:

28 x 9/4 = a

a = 252/4

a = 63

Answer:

x=12,y=-8

Step-by-step explanation:

7x=84

x=84/7=12

12y=7x-180=7*12-180=84-180=-96

y=-96/12=-8

The solution of 7x-12y=180 is x = 12 and y =-8.

An equation is made up of two algebraic expressions with the same value and the sign "=" in between.

Given, the equation;

7x-12y=180  {equation 1}

And 7x = 84

x = 84/7

x = 12

Substitute the value of x to the equation 1,

7(12) - 12y = 180

12y = 84 - 180

y = -96/12

y = -8

Therefore, x = 12 and y = -8 is the solution.

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Answer:

Quotient is basically division.

Step-by-step explanation:

1329/4 is basically

332.25 is the answer

Answer:

7

Step-by-step explanation:

Answer:

[tex]\frac{2}{5} :\frac{3}{8}[/tex]

Step-by-step explanation:

First of all, answer both sides separately.

Find the value of x and simplify.

Find the value of y and simplify.

It is just like removing the variables.

Answer:

Step-by-step explanation:

Answer:

(x - 3) and (x - 2)

Step-by-step explanation:

Using the method of long division to divide the polynomial by x + 4

                   x² - 5x + 6

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

x + 4   |  x³ - x² - 14x + 24

             x³ + 4x²

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

                  - 5x² - 14x + 24

                   - 5x² - 20x

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

                               6x + 24

                               6x + 24

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

                              0        0

The quotient is x² - 5x +  6 = (x - 2)(x - 3)

x³ - x² - 14x + 24 = (x - 2)(x - 3)(x + 4) ← in factored form

          |

49.85% of buyers paid between 150,000 and 154,200

The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are are within three standard deviation from the mean.

Given that mean (μ) = 150000, standard deviation σ = 1400

68% are within one standard deviation = μ ± σ = 150000 ± 1400 = (148600, 151400)

95% are within two standard deviation = μ ± 2σ = 150000 ± 2 * 1400 = (147200, 152800)

99.7% are within three standard deviation = μ ± 3σ = 150000 ± 3 * 1400 = (145800, 154200)

The buyers who paid between 150,000 and 154,200 = 99.7%/2 = 49.85%

Hence 49.85% of buyers paid between 150,000 and 154,200

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Answer:

$16.48

Step-by-step explanation:

Split this up into the four years.

For the first year, multiply 200 x .02 to get 4

Add 4 onto your total. ($204.00)

For the second year multiply 204 x .02 to get 4.08

Add 4.08 onto your total. ($208.08)

For the third year multiply 208.08 x .02 to get 4.1616 but round to 4.16

Add 4.16 onto your total ($212.24)

For the fourth year multiply 212.24 x .02 to get 4.2448 but round to 4.24

Add 4.24 onto your total (216.48)

Now subtract 200 from your total

216.48-200 = 16.48

She will be payed $16.48 in interest.

Answer:

Call the number we need to find a.

Inequality: (12 + a) ÷ 2 < 27

<=> 12 + a < 54

<=> a < 54 - 12

<=> a < 42

Answer:

8.75lb

Step-by-step explanation:

pls mark brainliest :)

None, it is a binomial because it has 2 terms. The degree is 1.

Hope this helps friend~ ^^

The detailed answer is in the images I have attached.

Hope it helps you...

Kindly mark as Brainlliest!!!

Answer:  52 boys

==================================================

Explanation:

g = number of girls

g+26 = number of boys because there are 26 more compared to girls

The ratio of boys to girls is 2:1, meaning g+26 is twice as large compared to g

number of boys = 2*(number of girls)

g+26 = 2g

26 = 2g-g

26 = g

g = 26

There are 26 girls and g+26 = 26+26 = 52 boys. Note how 52 is double that of 26.

15 students are yet to return for the face to face classes

Given the following parameters

Total number of students in Esteban's classroom = 28 students

If 45% of classmates have returned to face-to-face classes, the total number of classmates that have returned to face-to-face classes is 0.45 * 28 = 12.6

People that are yet to return  = 28 - 12.6

People that are yet to return  = 15.4

This shows that about 15 students are yet to return for the face to face classes

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Answer:

m∠H = 10°

Step-by-step explanation:

ΔFGH is an isosceles triangle. I made a diagram, so m∠F ≅ m∠H by B.A.T(base angle theorem). This is because an isosceles triangle have to congruent sides and angles.

Diagram is attached:

-Chetan K

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The step in working out the inverse is to swap over the variables.

If we apply same to given equation, we'll have:

It gives us the option D

Answer:

Option D

Step-by-step explanation:

Interchange x and y

Hence option D is correct

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

(1, 2 )

Step-by-step explanation:

x + y = 3 (subtract x from both sides )

y = 3 - x → (1)

2x - y = 0 → (2)

Substitute y = 3 - x into (2)

2x - (3 - x) = 0

2x - 3 + x = 0

3x - 3 = 0 ( add 3 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into (1)

y = 3 - 1 = 2

solution is (1, 2 )

Step-by-step explanation:

the essential thing to remember here (and please, burn this into your brain for life) : the sum of all angles in a triangle is always (really always) 180 degrees.

therefore, in 12 and 13 we only need to add all 3 angles, and their sum must be 180.

from there we get really all 4 answers.

the next thing to consider is when a triangle had two equal angles, then it is an isoceles triangle (the 2 sides leading away from these 2 angles are equally long). that gives us the answers for 14 and 15.

12.

3x + 18 + 7x - 58 + 2x - 8 = 180

12x - 48 = 180

12x = 228

x = 19

angle A = 3x+18 = 3×19 + 18 = 57+18 = 75 degrees

angle B = 7x-58 = 7×19 - 58 = 133-58 = 75 degrees

angle C = 2x-8 = 2×19 - 8 = 38 - 8 = 30 degrees

13.

8x - 17 + 19x + 4 + 5x + 1 = 180

32x - 12 = 180

32x = 192

x = 6

angle Q = 8x-17 = 8×6 - 17 = 48-17 = 31 degrees

angle R = 19x+4 = 19×6 + 4 = 114+4 = 118 degrees

angle S = 5x+1 = 5×6 + 1 = 30+1 = 31 degrees

14.

KL = 9x - 14

LM = 7x - 37

KM = 3x + 23

angle K = angle L

so, the sides LM and KM must be equally long. that gives us

7x - 37 = 3x + 23

4x = 60

x = 15

KL = 9x-14 = 9×15 - 14 = 135-14 = 121

LM = 7x-37 = 7×15 - 37 = 105-37 = 68

KM = 3x+23 = 3×15 + 23 = 45+23 = 68

15.

XY = 13x - 21

YZ = 8x - 6

XZ = x + 4

angle X = angle Z

so, the sides XY and ZY (or YZ) must be equally long. that gives us

13x - 21 = 8x - 6

5x = 15

x = 3

XY = 13x-21 = 13×3 - 21 = 39-21 = 18

YZ = 8x-6 = 8×3 - 6 = 24-6 = 18

XZ = x + 4 = 3+4 = 7