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Lady_Fox [76]
2 years ago
7

Bernie helped design a magician costume for a school play. He used 5.75 feet of ribbon for the magician's wand. He used 11.75 fe

et of the same ribbon to decorate the magician's robe. If Bernie used $10.50 of ribbon in all, how much did the ribbon cost per foot?
Mathematics
2 answers:
Nonamiya [84]2 years ago
8 0

Answer:

The ribbon cost per foot $0.6 per foot

Step-by-step explanation:

Total number of ribbon used = (5.75 + 11.75) = 17.50 feet

17.50 feet of ribbon cost = $10.50

1 foot of ribbon cost = x

Cross Multiply

17.50 × x = 1 foot × $10.50

x = 1 foot × 10.50/17.50

x = $0.6

The ribbon cost per foot $0.6 per foot

Marina86 [1]2 years ago
3 0

Answer: $0.75

Step-by-step explanation:

Total amount used for the ribbons = $1.50

Total feet of ribbons used = 5.75 feet + 11.75 feet = 17.5 feet

The cost of ribbon per foot will now be:

= $10.50/17.5

= $0.6 per foot

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A county is in the shape of a rectangle that is 60 miles by 70 miles and has a population of 50,000. What is the average number
lakkis [162]

Answer:

The correct answer is:

12

Step-by-step explanation:

Length of county = 70 miles

breadth of county = 60 miles

area of county (rectangle) = Length × Breadth = 60 × 70 = 4,200 sqaure miles

population of county = 50,000

Therefore, to find the average number of people living on each square mile of the county, we will assume that the whole population is equally distributed in the county, hence the population per square mile is calculated thus:

Total area = 4,200 square miles

total population = 50,000

This means that:

4,200 square miles contains 50,000 people

4,200 sq. miles = 50,000 people

∴ 1 sq. mile = 50,000 ÷ 4,200 = 11.9 = 12 people (to the nearest whole number)

therefore number of people living per square mile = 12

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2 years ago
Find the range of 2,7,3.1,4.2,1.9,2.4,and 2.7
aliina [53]

Answer:2244.23136

Step-by-step explanation:

6 0
2 years ago
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suppose you could make a single "lump sum" deposit of $3679, in an investment that provides an annual percentage rate(apr) of 4%
yaroslaw [1]

Answer:

\$5,698.30  

Step-by-step explanation:

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  (future value)

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=11\ years\\ P=\$3,679\\ r=4\%=4/100=0.04\\n=365  

substitute in the formula above

A=3,670(1+\frac{0.04}{365})^{365*11}  

A=\$5,698.30  

3 0
2 years ago
The graph of the step function g(x) = –⌊x⌋ + 3 is shown. On a coordinate plane, a step graph has horizontal segments that are ea
AleksAgata [21]

Answer:

{x| –2 ≤ x < 5}

Step-by-step explanation:

There is a box function plotted on the graph.

The function is  g(x) = –⌊x⌋ + 3.

Now, we know that a box function represents a step graph having horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle.  

It is given that the left-most segment of the given graph goes from (-2,5) to (-1,5) and the rightmost segment goes from (4,-1) to (5,-1).

So, for the left most segment the domain is -2 ≤ x < -1

And for the right most segment the domain is  4 ≤ x < 5  

Therefore, the total domain of g(x) will be  {x| –2 ≤ x < 5} (Answer)

8 0
2 years ago
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A carpenter made a wooden structure using one cube and one triangular prism. The diagram shows the structure. The carpenter is o
agasfer [191]

Answer:

Option B

3.75\ in^2

Step-by-step explanation:

we know that

The surface area of the front side is equal to the area of a square face of the cube plus the area of a right triangle of the triangular prism

so

SA=(1.5)^2+\frac{1}{2}(3.5-1.5)(1.5)

SA=2.25+1.50=3.75\ in^2

6 0
2 years ago
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