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castortr0y [4]
3 years ago
7

What is the value of y? Enter your answer in the box.

Mathematics
2 answers:
Elenna [48]3 years ago
7 0
The value of y = 40.

5x = 40
  x = 8

180 = 40 + 40 + (2y + 20)
  40 = y
sergejj [24]3 years ago
4 0

Answer:

Hence, the value of y is:

40

Step-by-step explanation:

We know that angle opposite to equal sides are equal

In given ΔABC we have:

AB=AC

this means that:

∠B=∠C

Hence,

5x=40

on dividing both side of the equation by 5 we get:

x=8

Hence, we get:

∠B=5x=5×8=40°

i.e. ∠B=40°

Also we know that sum of all the angles of a triangle is 180°.

i.e.

∠A+∠B+∠C=180°

Hence,

2y+20+40+40=180

⇒ 2y+100=180

⇒ 2y=180-100

⇒ 2y=80

On dividing both side of the equation by 2 we obtain:

y=40

Hence, the value of y is:

40

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A company mixes two kinds of cleansers to get a blend they sell for 59 cents a liter. One of the cleansers costs 50 cents per li
Lilit [14]

Answer:

Cleanser that costs 50 cents is 1400 liters, Cleanser that costs 80 cents is 600 liters.

Step-by-step explanation:

We can solve this by using <em>simultaneous equations</em>:

  1. Let us express the question in terms of equations

Let a be cleanser at 50 cents and let b be the cleanser at 80 cents.

Equation 1: 0.5a + 0.8b = 0.59(a+b)

Equation 2: a + b = 2000

From equation 2, a = 2000 - b (Let's call this equation 3)

    2. Substituting equations 2 and 3 in Equation 1:

0.5a + 0.8b = 0.59(a+b)

0.5(2000 - b) + 0.8b = 0.59(2000)

1000 - 0.5b + 0.8b = 1180

0.3b = 180

b = 600

Substitute in equation 3:

a = 2000 - 600

a = 1400

As a note, I formed equation 1 because I know for a fact the cost per liter of a and b. I also know it is sold at 0.59 cents per liter. We are selling 2000 liters in this instance, therefore 0.59(2000) = 1180, which in this case is the selling price.

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Brendan has 14 dimes and 19 quarters.
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Answer:The answer is 183, hope I helped.  

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