An organization has raised $4800 for a remodeling project. This is 60% of their goal.

Mathematics

2 answers:

gizmo_the_mogwai [7]3 years ago

5 0

Answer:

8000

Step-by-step explanation:

german3 years ago

5 0

Answer:

$8000

Step-by-step explanation:

1. Work out 1% of the overall value:

4800= 60%

4800/60= 1%

80= 1%

2. Use this to work out 100%:

80 x 100= 100%

8000= 100%

3. Put this back into the context of the question:

Fundraising goal= $8000

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5. Find the point P along the directed line segment from X(-3, 3) to Y(6,-3) that divides

ASHA 777 [7]

Consider point P(x,y) such that P, X and Y are collinear,

As vectors

XP = XO + OZ where O(0,0)
XP = OZ - OX
XP= (x,y) - (-3,3)
XP = (x+3, y-3)

Similarly,

PY = (6-x, -3-y)

But XP= 2^PY

[x+3, y-3] = [2(6-x), 2(-3-y)]

Given both vectors are equal, as they go in the same direction, Solve for x and y accordingly:

x+3 = 12 - 2x

x = 3

y-3 = -6-2y

y = -1

Therefore, P(3,-1)

6 0

3 years ago

A survey was given to 339 people asking whether people like dogs and/or cats.

lina2011 [118]

Answer:

Step-by-step explanation:

Think of it as a Venn diagram. One circle is the people who like dogs, and one circle is the people who like cats. The overlap is people who like both dogs and cats.

190 people in the survey said they like dogs. That includes the people who like both dogs and cats.

141 people in the survey said they like cats. That includes the people who like both dogs and cats.

If we simply add the two numbers together, we'll be counting the overlap twice. So to find the total number of people who like dogs or cats, we have to subtract one overlap.

dogs or cats = 190 + 141 − x

Therefore:

190 + 141 − x + 88 = 339

419 − x = 339

x = 80

80 people said they liked both cats and dogs.