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3 years ago

A yoga membership costs $16 and an additional $7 per class. write a linear equation modeling the cost of a yoga membership.

2 answers:

8 0

Y=16x+7
the x represents the number of memberships the 16 represents the cost of a membership and the 7 represents the additional cost.

ASHA 777 [7]3 years ago

7 0

Answer:

$y = 16 +7x$

Step-by-step explanation:

Given : A yoga membership costs $16 and an additional $7 per class.

To write : A linear equation modeling the cost of a yoga membership.

Solution :

A yoga membership costs $16.

An additional is $7 per class.

The $16 fee does not change.

Let x be the cost per class.

Let y is the total cost for membership.

The amount of a class = $16+7x$

Therefore, Resulting linear equation modeling the cost of a yoga membership is

$y = 16 +7x$

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A Park ranger tags 100 animals. Use a proportion to estimate the total population for each sample.

7nadin3 [17]

Answer:

It is given that A Park ranger tags 100 animals.

This means the proportion of animals tagged= $\dfrac{100}{x}$

where 'x' represents the total population of animals.

We have to find total number of animals in each parts.

23 out of 100 animals are tagged.

That means the proportion of animals tagged= $\dfrac{23}{100}$

Now we know that the proportion must be equal.

$\dfrac{23}{100}=\dfrac{100}{x}$

⇒ $x=\dfrac{100\times 100}{23}=434.783$

which is approximately equal to 435.

Hence, the total population =435.

8 out of 116 animals are tagged

That means the proportion of animals tagged= $\dfrac{8}{116}$

Now we know that the proportion must be equal.

$\dfrac{8}{116}=\dfrac{100}{x}$

$x=\dfrac{100\times 116}{8}\\\\x=\dfrac{11600}{8}=1450$

which is approximately equal to 1450

Hence, the total population =1450.

5 out of 63 animals are tagged

That means the proportion of animals tagged= $\dfrac{5}{63}$

Now we know that the proportion must be equal.

$\dfrac{5}{63}=\dfrac{100}{x}$

$x=1260$

Hence, the total population =1260.

4 out of 83 animals are tagged

That means the proportion of animals tagged= $\dfrac{4}{83}$

Now we know that the proportion must be equal.

$\dfrac{4}{83}=\dfrac{100}{x}$

$x=\dfrac{100\times 83}{4}\\\\x=2075$

Hence, the total population =2075.

3 out 121 animals are tagged

That means the proportion of animals tagged= $\dfrac{3}{121}$

Now we know that the proportion must be equal.

$\dfrac{3}{121}=\dfrac{100}{x}$

$x=\dfrac{100\times 121}{3}\\\\x=4033.33$

Hence, the total population =4033.

83 out of 125 animals are tagged

That means the proportion of animals tagged= $\dfrac{83}{125}$

Now we know that the proportion must be equal.

$\dfrac{83}{125}=\dfrac{100}{x}$

$x=\dfrac{100\times 125}{83}\\\\x=150.6024$

Hence, the total population =151.

7 out 165 animals are tagged

That means the proportion of animals tagged= $\dfrac{7}{165}$

Now we know that the proportion must be equal.

$\dfrac{7}{165}=\dfrac{100}{x}$

$x=\dfrac{100\times 165}{7}\\\\x=2357.143$

Hence, the total population =2357.

7 0

3 years ago

GCSE maths question about the turning point of the graph.<br> please help!

Neporo4naja [7]

Answer:

The coordinates of the turning point are (2, -9)

Step-by-step explanation:

The coordinates of the turning points of the quadratic equation

y = ax² + bx + c, are (h, k), where

h = $\frac{-b}{2a}$

k is the value of y at x = h

∵ The equation of the curve is y = x² + bx + c

→ By comparing it with the form above

∴ a = 1

∵ The point (0, -5) lies on the curve

→ Substitute x by 0 and y by -5 in the equation to find the value f c

∵ -5 = (0)² + b(0) + c

∴ -5 = 0 + 0 + c

∴ -5 = c

→ Substitute it in the equatin

∴ y = x² + bx - 5

∵ The point (5, 0) lies on the curve

→ Substitute x by 5 and y by 0 in the equation to find the value f c

∵ 0 = (5)² + b(5) - 5

∴ 0 = 25 + 5b - 5

→ Add the like terms in the right side

∴ 0 = 20 + 5b

→ Subtract 5b from bth sides

∵ 0 - 5b = 20 + 5b - 5b

∴ -5b = 20

→ Divide both sides by -5 to find b

∴ b = -4

→ Substitute it in the equatin

∴ y = x² - 4x - 5

∵ a = 1 and b = -4

→ Substitute them in the rule of h above t find it

∵ h = $\frac{-(-4)}{2(1)}$ = $\frac{4}{2}$

∴ h = 2

→ To find k, substitute x by 2 and y by k

∵ k = (2)² - 4(2) - 5

∴ k = 4 - 8 - 5

∴ k = -9

∴ The cordinates of the turning point are (2, -9)

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3 years ago

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gladu [14]

Answer: The second one

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3 years ago

Dominic bought a new alarm clock that was on sale for $18.75. If this price represents a 30% discount from the original price, w

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P - 0.30= $18.75

18.75 + 0.30 = p

$19.05 = p

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3 years ago

Round to the nearest tenth 4.1553

Len [333]

Answer:

4.2

Step-by-step explanation:

4.1553

15 -> 2

4.2

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2 years ago

Read 2 more answers