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Ludmilka [50]
3 years ago
11

A 99 ft length of wire is to be cut into 2 pieces, so that the longer piece is eight feet longer than six times the shorter piec

e. Fond the length of each piece.
​
Mathematics
1 answer:
Serhud [2]3 years ago
5 0

here's the solution,

let the length of shorter peice = x

then the lenght of longer peice = 6x + 8

now, we know that the sum of length of peices measures 99 feet,

So,

=》x + 6x + 8 = 99

=》7x = 91

=》x = 13

shorter piece length = 13 feet

longer peice length = 13 × 6 + 8 = 78 + 8 = 86 feet

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Solve the system with elimination. {2x-y=2, -5x+4y=-2
DaniilM [7]

Answer:

{x=2,y=2

Step-by-step explanation:

Equation 1:

Multiply both sides of the equation by a coefficient

{ 4(2x-y)=2*4

-5x+4y=-2

Apply Multiplicative Distribution Law

{8x-4y=2*4,-5x+4y=-2

8x-4y+(-5x+4y)=8+(-2)

Remove parentheses

8x-4y-5x+4y=8-2

Cancel one variable

8x-5x=8-2

Combine like terms

3x=8-2

Calculate the sum or difference

3x=6

Divide both sides of the equation by the coefficient of the variable

x=6/3

Calculate the product or quotient

x=2

Equation two:

{-5+4y=-2, x=2

-5*2+4y=-2

Calculate the product or quotient

-10+4y =-2

Reduce the greatest common factor (GCF) on both sides of the equation

-5+2y=-1

Rearrange unknown terms to the left side of the equation

2y=-1+5

Calculate the sum or difference

2y=4

Divide both sides of the equation by the coefficient of the variable

y=4/2

y=2

Hope this helps!!

6 0
2 years ago
the telephone company purchased 95 yards of wire for $1235 in september. they plan on making a purchase of 285 yards in October.
Luden [163]
Ratio and propoertion

cost/amount is constant
1235/95=x/285
cross multiply or time both sides by (95 times 283)
351975=95x
divide oth sies by 95
3705=x

the cost is $3705
7 0
3 years ago
A total of 40 people made cakes for a bake sale.  Each person made 3 cakes.  Ms. Sanchez
Elena L [17]
18 chocolate cakes were made. 40(3)= 120 cakes in total. 15%=.15 .15(120)= 18 
7 0
3 years ago
Ronaldo can kick a soccer ball 35 meters per second which is about 80 mph. He kicked the ball from one end of the field to the o
professor190 [17]

Answer:

t=3.142sec

Step-by-step explanation:

From the question we are told that:

Speed of ball V=35m/s\approx 80 mph

Length of field l=110m

Generally the equation for Time taken t is mathematically given by

 t=m/V

 t=110/35

 t=3.142sec

 t \approx \frac{3.142}{60}

 t \approx 0.05hrs

Therefore it will take the ball to get from one end of the field to the other

t=3.142sec

3 0
2 years ago
The average diameter of sand dollars on a certain island is 4.00 centimeters with a standard deviation of 0.60 centimeters. If 1
blagie [28]

Answer:

0.8413 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4.00 centimeters

Standard Deviation, σ = 0.60 centimeters

Sample size, n = 16

We are given that the distribution of average diameter is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling =

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.60}{\sqrt{16}} = 0.15

P(diameter of sample is more than 3.85 centimeter)

P(x > 3.85)

P( x > 3.85) = P( z > \displaystyle\frac{3.85 - 4}{0.15}) = P(z > -1)

= 1 - P(z \leq -1)

Calculation the value from standard normal z table, we have,  

P(x > 3.85) = 1 -0.1587 = 0.8413

0.8413 is the probability that the  the average diameter of sample of 16 sand dollars is more than 3.85 centimeters.

4 0
3 years ago
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