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Serjik [45]
3 years ago
7

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

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Hector needs to buy a window shade in his house. He measured the width of the window as 37 inches. The actual measurement is 40
aksik [14]

Answer:

3/40 = 7.5%

Step-by-step explanation:

3/40 percent error.

3/40 = 7.5%

6 0
3 years ago
Find the unit rate 6 and 2/5 revolutions in 2 and 2/3 in seconds
Makovka662 [10]

<u>Step 1</u>

Convert mixed fractions into fractions

6 2/5 = (6*5)+2) / 5 = 32/5

2 2/3 = (2*3)+2) / 3 = 8/3

<u>Step 2</u>

32/5 ÷ 8 / 3 ; where 32/5 is the 1st fraction and 8/3 is the 2nd fraction

<u>Step 2 (A)</u>

Get the reciprocal of the 2nd fraction:

From 8/3 to 3/8

<u>Step 2 (B)</u>

Multiply 1st fraction to the reciprocal of the 2nd fraction

32/5 * 3/8 = (32*3) / (5*8) = 96/40

<u>Step 2 (C)</u>

Simplify the fraction

96/40 divide by 4 will become 24/10

24/10 divide 2 will become 12/5. The simplest fraction of 96/40

The unit rate is 12/5 = 2 2/5 revolutions per second

3 0
3 years ago
Please answer. Thank you.
Aloiza [94]

Answer:

G.

Step-by-step explanation:

Graph shows constant change between the weight and the cost.

3/2.25 is 1.33333333

4/3 is 1.3333333

5/3.75 is 1.3333333 as well.

Others are not constant.

8 0
2 years ago
One of the loudest sounds in recent history was that made by the explosion of Krakatoa on August 26-27, 1883. According to barom
liraira [26]

Answer:

150.51 dB

Step-by-step explanation:

Data provided in the question:

decibel level of sound at 161 km distance = 180 dB

d₁ = 161 km

d₂ = 4800 km

I₁ = 180 db

The formula for intensity of sound is given as:

I = 10\log(\frac{I_2}{I_1})

and the relation between intensity and distance is given as:

I ∝ \frac{1}{d^2}

or

Id² = constant

thus,

I₁d₁² = I₂d₂²

or

\frac{I_2}{I_1}=\frac{d_1}{d_2}

therefore,

I = 10\log(\frac{d_1}{d_2})^2

or

I = 10\times2\times\log(\frac{161}{4,800})

or

I = 20 × (-1.474)

or

I = -29.49

Therefore,

the decibel level on Rodriguez Island, 4,800 km away

= 180 - 29.49

= 150.51 dB

8 0
3 years ago
Polygons ABCD and EFGH are similar. What is the perimeter of EFGH?
Rom4ik [11]
If polygons ABCD and EFGH are similar, then their perimeters most likely are also similar. Polygon EFGH also have the same perimeter with polygon ABCD. Having similar polygons is referred as congruent polygons. <span>Two figures are said to be congruent when they have the same shape and size or if one object is a mirror image of the other object.<span> </span></span>
5 0
3 years ago
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