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2 years ago

25% of lower department store prices

Mathematics

1 answer:

Crank2 years ago

6 0

Step-by-step explanation:

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Ada, Betty, Chris and David have $45 in total Ada gota 52 fromBetty, Chris tripleshis money and Davids money is cut by hall four

andrezito [222]

Using a system of equations, it is found that initially Ada has $0.385.

For the system, we have that the variables are:

x is Ada's amount.
y is Betty's amount.
z is Chris's amount.
w is David's amount.

$45 total, hence:

$x + y + z + w = 45$

Ada gets 2 from Betty, hence:

$x + 2 = y - 2$

$x = y - 4$

$y = x + 4$

Chris triples his money and David's money is cut by half four of them have the same amount, hence:

$x + 4 = y = 3z = \frac{w}{2}$

Then:

$3z = x + 4$

$z = \frac{x + 4}{3}$

$x + 4 = \frac{w}{2}$

$w = 2x + 8$

Solving for w, we find Ada's initial amount.

$x + y + z + w = 45$

$x + x + 4 + \frac{x + 4}{3} + 2x + 8 = 45$

$4x + 12 + \frac{x + 4}{3} = 45$

$12x + 36 + x + 4 = 45$

$13x = 5$

$x = \frac{5}{13}$

$x = 0.385$

Initially, Ada has $0.385.

A similar problem is given at brainly.com/question/6120515

5 0

2 years ago

In XYZ, XY=XZ Find the length of XY of XYZ if XY=2a, YZ=3a+1, andXZ=5a-12

lorasvet [3.4K]

Answer: XY = 8

Step-by-step explanation:

The diagram of the triangle XYZ is shown in the attached photo.

XY=XZ. This means that two sides of the triangle are equal. Two angles are also equal. It means that the triangle XYZ is an isosceles triangle.

Since XY=XZ, then

2a = 5a - 12

Subtracting 2a from both sides of the equation,

2a - 5a = 5a - 12 - 5a

-3a = -12

a = -12/-3

a = 4

Therefore, the length of XY is 2a = 2×4 = 8

5 0

2 years ago

Is one side of a rectangular fish tank best represented by a point, line, plane, or ray?

Mandarinka [93]

Plane, think of planes as a rectangular shape. Rays and lines are just arrows. And a point is just one single dot

5 0

3 years ago

Solve the equation below 5 - 1/2x = 5/8x + 2

Dafna1 [17]

X = 8/3

I hope this helped!

4 0

3 years ago

Read 2 more answers

Spencer sampled 50 students of a private school who were questioned about their scores in Mathematics. Spencer wants to test the

pickupchik [31]

Answer:

C) 3.03

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 50

The Mean of the population (μ) = 62

The standard deviation of the Population (σ) = 7

Mean of the sample(x⁻) = 65

Z-score

$Z= \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }$

Step(ii):-

$Z= \frac{65 -62}{\frac{7}{\sqrt{50} } }$

Z = 3.03

Final answer:-

The Z-score = 3.03

6 0

3 years ago