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3 years ago

A country club bought some single golf carts that cost $7,000 each, and some double golf carts that cost $11,000 each. A

Mathematics

2 answers:

user100 [1]3 years ago

3 0

Answer:

its #

Step-by-step explanation:

Elena L [17]3 years ago

3 0

Answer:

9 single golf carts and 15 double golf carts.

Step-by-step explanation:

x = single golf carts and y = double golf carts

System equations:

x+y=24

7,000x+11,000y=228,000

Take the first system equation and subtract x from both sides to get

y=-x+24

Substitute the new equation into the second equation

7,000x+11,000(-x+24)=228,000

Distribute to get rid of the parenthesis

7,000x-11,000x+264,000=228,000

Combine like terms

-4,000x+264,000=228,000

Subtract

-4,000x=-36,000

Divide to get x

x=9

Substitute x into the first equation to get y

9+y=24

y=15

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John recieved a notice that his bank account was overdrawn by $40. He made a deposit and now his balance is $25. How much did Jo

Vitek1552 [10]

He had to put $65 bc. he had to balance his account then added $25

8 0

3 years ago

Read 2 more answers

On a coordinate plane, a shape is plotted with vertices of (3, 1), (0, 4), (3, 7), and (6, 4). what is the area of the shape if

QveST [7]

Let
A (3, 1)
B (0, 4)
C(3, 7)
D (6, 4)

step 1
find the distance AB
d=√[(y2-y1)²+(x2-x1)²]------> dAB=√[(4-1)²+(0-3)²]-----> dAB=√18 cm

step 2
find the distance CD
d=√[(y2-y1)²+(x2-x1)²]------> dCD=√[(4-7)²+(6-3)²]-----> dCD=√18 cm

step 3
find the distance AD
d=√[(y2-y1)²+(x2-x1)²]------> dAD=√[(4-1)²+(6-3)²]-----> dAD=√18 cm

step 4
find the distance BC
d=√[(y2-y1)²+(x2-x1)²]------> dBC=√[(7-4)²+(3-0)²]-----> dBC=√18 cm

step 5
find slope AB and CD
m=(y2-y1)/(x2-x1)
mAB=-1
mCD=-1
AB and CD are parallel and AB=CD

step 6
find slope AD and BC
m=(y2-y1)/(x2-x1)
mAD=1
mBC=1
AD and BC are parallel and AD=BC
and
AB and AD are perpendicular
BC and CD are perpendicular

therefore
the shape is a square wit length side √18 cm

area of a square=b²
b is the length side of a square
area of a square=(√18)²------> 18 cm²

the answer is
18 cm²

see the attached figure

6 0

3 years ago

On monday it took 5 builders to 3 1/2 hours to build a wall

zubka84 [21]

Answer: £ 81.38

Step-by-step explanation:

Given: On Monday,

5 builders took $3\dfrac{1}{2}$ hours ( i.e. $\dfrac{7}{2}$ hours ) to build a wall.

On Tuesday, only 2 builders were available.

As workers are inversely proportional to the time if the job remains constant.

Inverse variation equation : $x_1y_1=x_2y_2$

Let x be the time taken by 2 builders, then

$2\times x =5\times \dfrac{7}{2}$

$\Rightarrow\ x=\dfrac{35}{2}\times\dfrac{1}{2}=\dfrac{35}{4}=8.75$

So, 2 builders will take 8.75 hours.

Each paid £9.30 for each hour.

Then, each builder will be paid for the work completed on Tuesday = £9.30 x 8.75

≈ £ 81.38

Hence, each builder will be paid £ 81.38 for the work completed on Tuesday .

5 0

3 years ago

Increase each of the following amounts by the percentage given.

umka21 [38]

Step-by-step explanation:

(a)90 by 10%

90+10% of 90=90(1+0.1)=99

(b)60 by 25%

60(1+0.25)=75

80(1+0.75)=140

(e)110 by 60%

110(1+0.6)=176

(f)480 by 115%

480(1+1.15)=1032

(g)140 by 45%

140(1+0.45)=203

6 0

3 years ago

-5= s — 18 Someone help please I’m stuck

Vlad1618 [11]

-5=s/18

Pretend that s/18 is 1/18s

-5=1/18s

Multiply by 18/1 for both sides

-5(18/1)=1/18(18/1)s

Cross out 1 and 1, divide by 1 and then is one.

Cross out 18 and 18, divide by 18 and then is one.

s=-90

Answer: s=-90

3 0

3 years ago