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Rashid [163]
3 years ago
12

2. Long's Coffee Shop sells a refill mugs for $8.95. Each refill costs $1.50. Last

Mathematics
1 answer:
8_murik_8 [283]3 years ago
8 0

Answer:

1.50R = 18.0

Step-by-step explanation:

Given

Represent Mugs with M and Refills with R

M = \$8.95

R = \$1.50 per refill

Total = \$26.95

Required

Determine the equation

If 1 refill costs $1.50, then

R refills will cost 1.50 * R

The relationship between the given parameters is:

Total = M + Refills

Substitute values for Total, M and Refills

26.95 = 8.95 + 1.50*R

26.95 = 8.95 + 1.50R

Solve for 1.50R

1.50R = 26.95 - 8.95

1.50R = 18.0

<em>Hence, the equation to solve the value of R is </em>1.50R = 18.0<em></em>

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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)

6 0
3 years ago
Express 4/5 as a percent. Make sure to label your answer with %.
miv72 [106K]
I’m pretty sure it’s 80%
7 0
3 years ago
Izracunaj opseg i povrsinu kruga upisanog u kvadrat stranice duljine 8 cm.
Nutka1998 [239]
(In English), your question would state the following:


<span>Calculate the circumference and circumference of the circle entered in a square 8 cm long.
</span>
So when finding the answer this this question, we know that the circumference would be the complete area of a circle.

So, I believe we would want to find what is the radius and the diameter that would make this circumference 8^c^m.

The radius would then be (1.274).
__________________________________________________________

Now in your own language (Croatian).

<span>Dakle, kad pronađemo odgovor na ovo pitanje, znamo da bi opseg bio cjelokupno područje kruga. Dakle, vjerujem da bismo željeli otkriti što je radijus i promjer koji bi ovaj opseg mogao učiniti 8cm. Radijus bi onda bio (1.274).</span>




6 0
3 years ago
Read 2 more answers
7) If you can buy 4 tulip bulbs for $8<br> then how many<br> bulbs can you buy with $32?
Sophie [7]

Answer:

16

Step-by-step explanation:

8/4 = 2  so each bulb costs $2

To find how many bulbs you can buy with $32, divide 32 by 2 = 16

5 0
2 years ago
Read 2 more answers
The question is
PilotLPTM [1.2K]

The unknown side lengths are

Large triangle 10

Medium triangle 2

Small triangle 12/5 or 2.4

Step-by-step explanation:

EFD to ABC is 0.4 or 2/5

EFD to GHI is 0.24 or 6/25

ABC to GHI is 0.6 or 6/10

5 0
3 years ago
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