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Sophie [7]
2 years ago
5

Cynthia was paid 20 cents pr board for painting the fence. If she was paid $10 for painting half the boards, how many boards wer

e there?
Mathematics
1 answer:
yawa3891 [41]2 years ago
3 0

Answer:

100 boards

Step-by-step explanation:

Step one:

Given data

We are told that Cynthia was paid 20 cents per board for painting the fence

that is for 1 board painted she gets $0.2

If she was paid $10

let us find the number of boards she painted for $10

= 10/0.2

=50 boards

This means that the total boards were 50*2= 100 boards

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Find the domain of the following piecewise function.
il63 [147K]

Answer:

(2,8]

Step-by-step explanation:

Given

The attached piece wise function

Required

The domain

To do this, we simply consider the inequalities that bound the values of x.

The inequalities are:

2 < x < 4     4 < x < 8   and   x \ge 8

Combine the first two inequalities:

2 < x < 8    and   x \ge 8

For the inequality to be true, we must have:

2 < x \le 8

In interval notation, the inequality is:

(2,8]

6 0
2 years ago
find three numbers whose sum is 32 if the second is 1 more than the first and the first is 4 less than the third
Alex777 [14]
X+y+z=32
x=z-4
y=x+1
z=x+4
x+x+1+x+4=32
3x+5=32
3x=27
x=9
y=10
z=13

Hope this helps :)
7 0
3 years ago
VERY URGENT.
NemiM [27]

Answer:

(1)Base Area= 81 square yards.

(2)

  • 3 ft long and 16 ft wide
  • 6 ft long and 8 ft wide
  • 24 ft long and 2 ft wide

(3)Height=12 Units

Step-by-step explanation:

<u>Question 1</u>

Volume of the rectangular prism=2,592 cubic yards.

Height of the rectangular prism=32 yards

Volume of a rectangular prism =lbh (where lb is the Base Area)

Therefore:

lbh=2592

32lb=2592

lb=2592/32=81

Base Area= 81 square yards.

<u>Question 2</u>

Volume of the rectangular prism=432 cubic feet.

Height of the rectangular prism=9 feet

Volume of a rectangular prism =lbh (where lb is the Base Area)

Therefore:

lbh=432

9lb=432

lb=432/9=48

Base Area= 48 square yards.

Any dimension whose product is 48 is a possible choice.

They are:

  • 3 ft long and 16 ft wide
  • 6 ft long and 8 ft wide
  • 24 ft long and 2 ft wide

<u>Question 3</u>

<u />

Volume of the rectangular prism=960 cubic units.

Base Area of the rectangular prism, lb=80 Square Units

Volume of a rectangular prism =lbh (where lb is the Base Area)

Therefore:

lbh=960

80h=960

h=960/80=12

Height= 12 units.

4 0
3 years ago
On a bicycle trail, the city is painting arrows like the one shown below: Upper pointing arrow with height of 15 and length of 1
Luden [163]

Answer:

229.5cm^{2}

Step-by-step explanation:

In order to calculate the area of the arrow we need to calculate the area of the body of the arrow, and then the head of the arrow. The body of the arrow is a rectangle meaning that the area (Ar) can be calculated by multiplying the length by the height like so...

Ar = l * h

Ar = 11cm * 12cm

Ar = 132 cm^{2}

Now we need to find the area of the head of the arrow, which is a triangle and therefore we can use the formula for the area of a triangle (At) which is height times base divided by 2...

At = \frac{h * b}{2}

At = \frac{15cm * 13cm}{2}

At = \frac{195cm^{2} }{2}

At = 97.5cm^{2}

Now we simply add both areas together to calculate the total area of the arrow...

132cm^{2} + 97.5cm^{2} = 229.5cm^{2}

6 0
3 years ago
Read 2 more answers
On Triangle ABC, Angle A measures 30 degrees, Angle B measures 90 degrees, and Angle C measures 60 degrees. List the sides of Tr
Mazyrski [523]

Answer:

A=30  B=90  C=60

Step-by-step explanation:

A=30 C=60  B=90

8 0
3 years ago
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