Classify the equation as having one solution, infinitely many solutions or no
solution. *
9r + 5 – 4 = 4r + 5r – 12
Choose

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

By the Triangle Proportionality Theorem:

[tex]\displaystyle \frac{x}{12}=\frac{x+1}{15}[/tex]

By cross-multiplication:

[tex]\displaystyle 12(x+1)=15(x)[/tex]

Distribute:

[tex]12x+12=15x[/tex]

Subtract 12x from both sides:

[tex]12=3x[/tex]

Hence:

[tex]x=4[/tex]

Answer:

4

Step-by-step explanation:

The first thing you should notice is that the triangles (the smaller one and the larger one) are similar due to angle-angle similarity (the top angle equals itself, and because the bases are parallel lines cut by a transversal, the base angle of the bigger triangle is equal to the corresponding base of the smaller triangle.

Similar triangles' corresponding sides have equal ratios to one another. That means we can set up an equation: side of smaller triangle ÷ corresponding side of larger triangle = other side of smaller triangle ÷ corresponding side of larger triangle. We plug the values given to us and can change this equation to:[tex]\frac{x}{x + 12} = \frac{x + 1}{x + 16}[/tex] **

We now multiply both sides of the above equation by [tex](x + 12)(x + 16)[/tex] to get: [tex]x(x + 16) = (x + 1)(x + 12)[/tex]

[tex]x^{2} + 16x = x^{2} + 13x + 12[/tex]

[tex]3x = 12[/tex]

[tex]x = 4[/tex]

That means our answer, for the value of x, is 4

** Make sure you don't say [tex]\frac{x}{12} = \frac{x + 1}{15}[/tex], because those aren't the sides of the larger square.

Answer:

Friday

Step-by-step explanation:

Answer:

70 kilometers

Step-by-step explanation:

Set up a proportion where x is the actual distance

[tex]\frac{1}{20}[/tex] = [tex]\frac{3.5}{x}[/tex]

Cross multiply:

x = (20)(3.5)

x = 70

So, the actual distance is 70 km

Answer:

Hi liddywiddy, sorry you had to wait so long

There are 20 teachers in all

Step-by-step explanation:

the ratio 3:2 is now 12:x

12 / 3 = 4

so the multiplier is 4

now:

4x2 = 8

Next we add them: 12+ 8 = 20

Answer:

20 teachers in all

Step-by-step explanation:

12 / 3 = 4,

4 * 2 = 8,

so 12 + 8 = 20

Answer:

3x2+5=11

Step-by-step explanation:

Answer:

[tex]5x^{2} -3x+6[/tex]

Step-by-step explanation:

Step-by-step explanation:

3x -20= -2x +10

or,5x=30

or,X=30/5

or,X=6

Y= -2×6 + 10

= -2

therefore solution is (6, -2)

Answer:

4.1

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

Answer:

6x+3

Step-by-step explanation:

24x-6x-12x+3

6x+3

Answer:

4^7

Step-by-step explanation:

4^2 + 4^5

=> 4^ 2+5

=> 4^7

Answer:

Step-by-step explanation:

Answer:

The constant rate of change is 3

Step-by-step explanation:

Given

x   y

2   6

4   12

6   18

8   24

Required

Determine the constant rate of change

Represent the constant rate of change with k.

k is calculated using:

[tex]k = \frac{y}{x}[/tex]

When y = 24; x = 8

So, we have:

[tex]k = \frac{24}{8}[/tex]

[tex]k = 3[/tex]

Answer:

yes because the hours to distance is moving at a constant rate and if you were to graph it, it would also go through the origin

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

This table is not proportional because the outputs do not get their answer using the same equation. The first to inputs and outputs ([tex]\frac{1}{2}[/tex] and [tex]\frac{1}{4}[/tex]; 1 and [tex]\frac{1}{2}[/tex]) are proportional. You multiply the input (distance) by [tex]\frac{1}{2}[/tex] to get the output (hours). The final option of input and output ([tex]2\frac{1}{2}[/tex] and [tex]1\frac{1}{4}[/tex]) is not proportional.

Hope it helps!

Answer:

these are the equivalwnt expressions 4/5×15=4×5/15; 5×3=3×15/5

The expression equivalent to 4/5 × 15 is 4×3

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here the expression 4/5×15 thus simplifying it we get

4/5×15= 4×3

           = 12

Hence, The expression equivalent to 4/5 × 15 is 4×3

Learn more about the BODMAS rule here:

https://brainly.com/question/29795897

#SPJ2

4 and 2 because she is the acrooss line

Answer:

38%

Step-by-step explanation:

Percentage is 37.5% but you round up

:)

He made $1 944 in commission

Answer:

x=4.5

Step-by-step explanation:

PR=28

PQ= 2x+5

Require

Find X

Answer:

342

Step-by-step explanation:

Answer:

342

Step-by-step explanation:

600 - 258 = 342

Note:

Please mark as Brainliest! <3

Answer:Tate rents some table 362 for some chairs $3 for each party get spends $500 enter an equation to find the number of chairs,c, that Tata rents and how many chairs

Step-by-step explanation:

Answer:

Step-by-step explanation:

6x-8y=12

5x+8y=-1

add them

11x=11

x=1

y=-3/4

Answer:

(1,-3/4)

Step-by-step explanation:

Luckily, y is already opposites, so it should be easier:

6x-8y=12

5x+8y=-1    

Combine; This should end up with y eliminated -

11x = 11

x = 1

Now we can plug 1 in for x in one of the equations to find y. I'm going to use the second one.

5(1) +8y = -1

5+8y=-1

8y=-6

y=-6/8 (you can simplify)

The point at which the lines intersect is (1,-3/4)

Answer:

13.75 square feet

Step-by-step explanation:

all you have to do to find the area of a parallelogram is base * height

= 2.5 * 5.5

= 13.75 square feet

Answer:

13.75 ft^2

Step-by-step explanation:

I) Substitute equation to find the area

a = hb (area = height x base)

a = 2.5(5.5)

II) Solve:

a = 2.5(5.5)

a = 13.75

The area is 13.75 ft^2.

Step-by-step explanation:

Answer for the first question.

since the triangles are congruent so angles and sides are also congruent I.e. sides and angles are equal then,

3x - 3 = 12

3x = 12 + 3

3x = 15

x = 5

55° = 7x + y

55° = 7 * 5 + y

35° + y = 55°

y = 55° - 35°

y = 20°

Answer for the second question,

x + 70° = 2x - 2° {Exterior angle of a triangle is equal to the sum of two opposite interior angles }

2x - x = 70° + 2°

x = 72°

Now

<WXY = 2x - 2°

= 2 * 72° - 2

= 142 °

Hope it will help :)❤✔