Allister's father is 120% of Allister's height. If his father measures 180 cm, how tall is Allister?

Answer:

2 (x + 7)

Step-by-step explanation:

2x + 14

2 (x+7)

I hope this helps

Answer:

[tex]2(x+7)[/tex]

Step-by-step explanation:

Factoring is when takes out the GCF (greatest common factor) between two numbers. Between the numbers [tex]( 2x + 14 )[/tex] The GCF is ([tex]2[/tex]). Hence one divides both numbers by ([tex]2[/tex]), groups the numbers and then writes ([tex]2[/tex]) on the outside.

([tex]2x + 14[/tex])

[tex]2(x+7)[/tex]

Answer:

around 126

Step-by-step explanation:

Answer:

Step-by-step explanation:

8/18=x/24

18x=192

x=10.667(correct to three decimal places)

Answer:

the second one

Step-by-step explanation:

if it is right pls mark brainliest thanks :)

Answer:

An linear equation in one variable

Step-by-step explanation:

Variable:h

Equation:6h+19

All the figures can be proven to be parallelograms by the markings.

The properties of parallelogram are:

Parallel opposite sides

Congruent opposite sides

Diagonals may or may not be congruent

Congruent opposite angles

Based on the above properties, all the figures can be proven to be parallelograms

Learn more about parallelograms:

brainly.com/question/11220936

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Answer:

[tex]z=133/6[/tex]

Step-by-step explanation:

All angles in a triangle added up are equal to 180 degrees.

We can make the equation:

[tex]2z+4z+47=180\\6z+47=180\\6z=133\\z=133/6[/tex]

Answer:

Step-by-step explanation:

We have 3 angles, 2z, 4z, 42

the sum of these angles equal to 180

2z+4z+42=180

6z=180-42

6z=138

z=138/6=23

z=23

Answer:

D: Divide both sides by 2 to solve for x

Step-by-step explanation:

Answer:

-8,6..............

Step-by-step explanation:

2,8

reflection

2,-8

flip

-8,2

x+4

-8,6

Answer:

z = 17.5

Step-by-step explanation:

To get the value of z, we use the bisector theorem

7/z = 6/15

6z = 7 * 15

6z = 105

z = 105/6

z = 17.5

Answer:

Step-by-step explanation:

Since the sum of all interior angles of a triangle is 180 degrees, we are able to derive the answer of what x (m<1 in this case) measures.

For example, in number 1, you can do

m<1 = 180 - 94 - 45

For the 2nd one, the tick marks show that the highlighted angles measure the same.

So, it would be (180-58)/2 = m<1

Finally, for the third one, there is a right angle, meaning that it measures 90 degrees

Therefore, 180-90-77 = m<1

Answer:

3500

(0,3500)

Step-by-step explanation:

The y - intercept of the line is at (0, 3500).

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the line models the height of a glider [y] in feet over [x] hours

The y - intercept i.e. the point where the graph cuts the [y] axis. From the graph we can see that point is (0, 3500).

Therefore, the y - intercept of the line is at (0, 3500).

To solve more questions on system of equations, visit the link below-

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Answer:

the answer

Step-by-step explanation:

the answer :7

Answer:

3(2x-y+3)

you factor every number in the math question.

Answer:

x = √3

Step-by-step explanation:

Looking at the given triangle,

x is the adjacent side while 2 represents the hypotenuse side.

Now, from trigonometric ratios, we know that;

Adjacent/hypotenuse = cos θ

The angle here will be 30°

Thus;

x/2 = cos 30°

We are told to find x in simplest radical form with a rational denominator.

Thus means we will use the surf value of the angle.

cos 30° in surd form = (√3)/2

Thus;

x/2 = (√3)/2

x = 2 × (√3)/2

x = (√3)/1

x = √3

Answer:

23.3 is the answer to this question

Answer:

Step-by-step explanation:

The cost that a carpet can cleaning company charges is directly proportional to the number of rooms cleaned. The cost to clean 50 rooms is $1,100.

A.) Write a direct variation equation to represent the cost.

Cost ∝ Number of room

C ∝ N

C = kN

k = Constant of Proportionality

k = C/N

k = 1100/50

k = 220

B.) Using the equation found in part a, how much would it cost a hotel to have 150 rooms cleaned

c = 220 × 150

c = $33000

Cost to clean 150 rooms = $33,000

Answer:

1.   y = -10x - 5

2.  [tex]y = \frac{9}{5}x - 4[/tex]

3.  [tex]y = -\frac{5}{4}x + 5[/tex]

4. y = 7x + 5

Step-by-step explanation:

use y = mx + b

m = slope

b = y-intercept

1. Slope= -10, y- intercept = -5

   y = -10x - 5

2. Slope= - 9/5, y- intercept = -4

   [tex]y = \frac{9}{5}x - 4[/tex]

3. Slope= -5/4, y- intercept = 5

    [tex]y = -\frac{5}{4}x + 5[/tex]

4. Slope= 7, y- intercept = 5

    y = 7x + 5

Answer:

The answer to this question is 3 and 4.

Answer:

p(7,-11)

that is the answer of the coordinates

Answer:

2/3 bottle of car wax

Step-by-step explanation:

If Devon waxes 1/2 of his car with 1/3 bottle of car wax then he only has half of his car to finish. Since 1/2 of his car used 1/3 of wax then the other half will only take 1/3 of car wax.

Hope this helps!

Answer:

BOTH ARE CORRECT

Step-by-step explanation:

Given that:

Triangle ABC Is right angled ;Angle ABC

Hypotenus = 15

If legs are 9 and 12 units long ;

From Pythagoras :

9² + 12² = hypotenus²

81 + 144 = 225²

2.) if:

B = 20° ; BC = will be

Using :

Cos θ = BC / 15

Cos 20 = BC / 15

BC = Cos 20 * 15

BC = 0.939692 * 15

BC = 14.09

BC = 14.1

Answer:

the answer would be 55.39

Answer:

trees cost $15

Shrub cost $7

Step-by-step explanation:

Given data

Rita paid $82 for 5 trees and 1 shrub

5x+y= 82---------1

Lilly bought 2 trees and 1 shrub for $37

2x+y= 37----------2

from 1

y= 82-5x

put the value of y in 2

2x+82-5x= 37

2x-5x= 37-82

-3x=-45

x= 45/3

x=$15

put the value of x in 1

5(x)+y= 82

5*15+y=82

75+y=82

y=82-75

y=$7

Hence, trees cost $15

Shrub cost $7

Answer:

c must be -4

Step-by-step explanation:

x^2 - 5x + c = 0 is a quadratic whose coefficients are a = 1, b = -5 and c = c.

The discriminant is b^2 - 4ac, and we know that b^2 - 4ac = 41.

Substituting -5 for b and 1 for a, we get:

(-b)^2 - 4(1)(c) = 41, or 25 - 4c = 41, or -4c = 16.  Thus, c must be -4, and the quadratic is

x^2 - 5x - 4

Answer: [tex]15r^2-21r+5[/tex]

Step-by-step explanation:

Given: Perimeter of triangular garden = [tex]25r^2 - 9r + 14[/tex]

The sum of two sides of the garden = [tex]10r^2 + 12r + 9[/tex]

Perimeter is the sum of all sides of a triangle.

Third side = Perimeter of triangular garden - sum of two sides of the garden

[tex]=25r ^ 2 - 9r + 14-(10r ^ 2 + 12r + 9)\\\\=25r ^ 2 - 9r + 14-10r ^ 2 - 12r - 9\\\\=15r^2-21r+5[/tex]

The expression represent the third side = [tex]15r^2-21r+5[/tex].

Answer:

90 cm

Step-by-step explanation:

Given that :

Perimeter of a rectangle = 2(Length + Width)

Perimeter of print area = 2(100 + 140) = 480cm

Perimeter of entire poster :

Let uniform width of blank strip = x

x on each of the 4 sides side ;

2(2x + 100 + 2x + 140)

2(4x + 240)

8x + 480

Perimeter of poster = 1 2/3 perimeter of print area

8x + 480 = 5/2(480)

8x + 480 = 1200

8x = 1200 - 480

8x = 720

x =. 720 / 8

x = 90 cm

Answer and explanation:

A rational number is a number that can expressed as fraction where the demoninator of the fraction is not zero, example 2/3, 5/1, 4/6 etc

An integer is a whole number, negative or positive example - 2, 3, -4, 1 etc

Adding and subtracting integers and rational numbers are not very much different. Most numbers are rational numbers anyway. When adding rational numbers 1/2+3/1 for instance, we simply add them like normal fractions:

1/2+3/1= 1+6/2=7/2=2 1/2

When adding intergers 2+4, we add normally as in the number line = 6