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Ainat [17]
3 years ago
9

A survey was taken of 400 shoppers. The shoppers were asked about purchases they had made within the past 30 days. They were ask

ed whether they had made their purchases at a big box store, a locally owned store, and/or online store.
How many shoppers made a purchase at a locally owned store and online store but NOT at a big box store?


38

56

109

179
Mathematics
1 answer:
inysia [295]3 years ago
3 0

Answer:

The number of shoppers made a purchase at an online store, a locally-owned store, and a big-box store is, 18

Step-by-step explanation :

As we are given that:

The number of shoppers made a purchase at big-box store = 17 + 18 + 57 = 92

The number of shoppers made a purchase at online store = 38 + 18 + 57 = 113

The number of shoppers made a purchase at locally owned store = 17 + 18 + 38 = 73

The intersection of big-box store and online store = 57 + 18 = 75

The intersection of big-box store and locally owned store = 17 + 18 = 35

The intersection of locally owned store and online store = 38 + 18 = 56

The intersection of online store, a locally-owned store, and a big-box store = 18

18 is the common number for all the stores.

Thus, the number of shoppers made a purchase at an online store, a locally-owned store, and a big-box store is, 18

Step-by-step explanation:

hope it helps

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PolarNik [594]
Answer:
<span>y ≤ 0.13x² + 0.38x
</span>y ≤ 766.33 - 2.90x² - 8.69x

Your question doesn't say which are the systems of inequlities, but we can find the correct one.

We can call:
x = width of the grass
y = radius of the dispenser

Now, let's translate into mathematical language the statements given in the question:

- "the length of the grassy area for the lion must be 3 feet greater than its width": 
l = x + 3

- "the area of the grass must be at least 8 times greater than the radius of the parakeets' food dispenser": 
A ≥ 8 · y

The area of a rectangle is given by:
A = l · w   = (x + 3) · x
therefore, we can write the first inequality:
(x + 3) · x ≥ 8 · y
x² + 3x ≥ 8y
and solving for y:
y ≤ 0.13x² + 0.38x   (rounded to two decimal digits)

- "The food dispenser for the parakeets is … 4 feet tall. It is exactly half-way full" means that the empty height of the dispenser is:
h = 4 : 2 = 2 ft

- "The cost of the parakeets' food is $0.49 times the length of the radius for every foot of height of food missing from the dispenser":
P = 0.49 · y · h   
<span>   = 0.49 · y · 2 
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- "They could put the grass in the lion's habitat for $2.84 per square foot of grass":
G = 2.84 · A    
    = 2.84 · (x² + 3x)    
    = 2.84x² + 8.52x

- "Andrea cannot spend more than $751.00 on both projects":
P + G ≤ 751.00

We can now write the second inequality:
(0.98y) + (2.84x² + 8.52x) ≤ 751.00
Solving for y:
0.98y + 2.84x² + 8.52x ≤ 751.00
0.98y ≤ 751.00 - 2.84x² - 8.52x
y ≤ 766.33 - 2.90x² - 8.69x (rounded to two decimal digits)
4 0
3 years ago
Need help with this geometry poblem
Kruka [31]

Answer:

17.5

Step-by-step explanation:

Because the lines of the trapezoid are parallel that means that side ratios are similar mainly: BC/AB = DE/EF

Which yields: DE = CB * EF/ AB = 18.5 * 8.5 / 9 ~ 17.5

3 0
3 years ago
Find the value of r so the line that passes through the pair of points has the given slope.
SOVA2 [1]

Answer:

The missing value in the ordered pair is 66

Step-by-step explanation:

Given that:

(12,10) and (-2,r)

Slope = m = -4

We have to find the value of r so that the line has a slope of -4.

Slope is the steepness of line which is denoted by m.

Here,

x_1=12, y_1=10\\x_2=-2, y_2=r

Putting the values in slope of line formula,

-4=\frac{r-10}{-2-12}\\ -4=\frac{10-r}{-14}\\

Multiplying both sides by -14

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The value of r is 66

Hence,

The missing value in the ordered pair is 66

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Y = x2 - 6x - 8
Usimov [2.4K]

Answer:

I think type answer is A

3 0
3 years ago
1/4 in decimal and 1/2 decimal
Anit [1.1K]
1/4 in decimal equals to 0.25 and 1/2 in decimal equals to 0.5
6 0
4 years ago
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