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Lostsunrise [7]
4 years ago
10

A collector has 120 movies posters and 100 band posters. She wants to sell movie posters but still have her poster collection ma

intain the same ratio of 120: 100. If she sells 24 movie posters, how many band poster should she sell? explain
Mathematics
1 answer:
vagabundo [1.1K]4 years ago
5 0
120:100 or 6:5 so 24:x
if ratios are the same then the reciprocal of one of the ratios times the other ratio should equal 1 so 6/5 times x/24=1
6x/120, x=20
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Nesterboy [21]

Answer:

U = x

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Step-by-step explanation:

Given

(x +3)^2 + 14(x + 3) + 49 = (U + V)^2

Required

Find U and V

We have:

(x +3)^2 + 14(x + 3) + 49 = (U + V)^2

Expand

x^2 + 6x + 9 + 14x + 42 + 49 = (U + V)^2

Collect like terms

x^2 + 6x + 14x + 9 + 42 + 49 = (U + V)^2

x^2 + 20x + 100 = (U + V)^2

Expand

x^2 + 10x + 10x + 100 = (U + V)^2

Group

[x^2 + 10x] + [10x + 100] = (U + V)^2

Factorize each group

x[x + 10] + 10[x + 10] = (U + V)^2

Factor out x + 10

[x + 10][x + 10] = (U + V)^2

So, we have:

[x + 10]^2 = (U + V)^2

By comparison

U = x

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7 0
3 years ago
Use the grouping method to factor the polynomial below completely.
RSB [31]
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3 years ago
Which description of the graph of y=110x is most accurate?
hodyreva [135]

Answer:

The correct option is;

The graph is a line that rises steeply from left to right and passes through the origin

Step-by-step explanation:

The given equation is y = 110·x

Comparing the given equation to the general equation of a straight line, y = m·x + c

Where;

m = The slope of the straight line graph

c = The y-intercept

We have;

The slope of the given equation, y = 110·x = 110

The y-intercept, which is given by the constant c in the given equation = (0, 0)

Therefore, by the slope of the equation, for each unit increase in x, y increases by 110, therefore, the graph is a straight line that rises steeply and passes through the origin

6 0
3 years ago
the 22 students bought a Valentine's presents they purchased 2 dozen for 22.95$ per and a box of chocolates for 13.45$ they spli
irina [24]

Answer:

I think the answer is b

Step-by-step explanation:

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3 years ago
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