All categories

3 years ago

The cost for 7 dance lessons is 82$. The cost for 11 lessons is 122$. Write and solve an equation to find the cost of 4 lessons

Mathematics

1 answer:

Juliette [100K]3 years ago

6 0

Answer:

$52

Step-by-step explanation:

Using the equation

y=mx+c

82=7x+c

122=11x+c

11x-7x=122-82

4x=40

x=10

To get c

82=7(10)+c

82-70=c

c=12

For 4 lessons

y=10(4)+12=52

You might be interested in

What scale factor was applied to the first rectangle to get the resulting image?

madam [21]

Answer:

The scale factor for the resultant rectangle is $\frac{2}{5}$ units.

Step-by-step explanation:

Given two rectangles with sides 3 units and 7.5 units.

We have to find the scaling factors so that we can obtain bigger rectangle of 7.5 units from smaller rectangle of 3 units.

Scale factor is defined as the ratio of corresponding side of given figure to the corresponding side of resulting figure.

That is $\text{Scale factor}=\frac{\text{length of side of given figure}}{\text{length of side of resulting figure}}$

Here, $\text{Scale factor}=\frac{\text{length of side of given rectangle }}{\text{length of side of resulting rectangle}}$

$\text{Scale factor}=\frac{3}{7.5}=\frac{2}{5}$

Hence, the scale factor for the resultant rectangle is $\frac{2}{5}$ units.

4 0

3 years ago

What is the complete factorization of the polynomial below?<br> x3 + x2 + 9x+9

PIT_PIT [208]

Answer:

(x+1)(x-3i) (x+3i)

Step-by-step explanation:

x^3 + x^2 + 9x+9

We will use factor by grouping

Factor out x^2 from the first group and 9 from the second group

x^3 + x^2 + 9x+9

x^2( x+1) + 9(x+1)

Factor out (x+1)

(x+1) ((x^2+9)

Now factor x^2+9

x^2 -(3i)^2 = (x-3i) (x+3i)

Replacing this

(x+1)(x-3i) (x+3i)

3 0

3 years ago

Pls help me I’m having a hard time

Triss [41]

1. w=2

2. x=2

3. y=-5

4. a=1

if these helped please mark brainliest

8 0

3 years ago

What transformation is shown below?

Artist 52 [7]

Answer:

it's a translation

Step-by-step explanation:

it just moved (3,0). If it were a rotation the y-axis wouldn't be the same. If it were a reflection you would be able to flip the blue triangle onto the red triangle.

6 0

3 years ago

How does -3 go into 5 four times?

poizon [28]

5 is a positive number while -3 is a negative number. To go into 5 division is needed, 5 divided by -3 = -1.6

8 0

3 years ago