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3 years ago

Solve algebraically please URGENT y=5x−7 −6x−4y=−24

1 answer:

7 0

$\left\{\begin{array}{ccc}y=5x-7\\-6x-4y=-24&\text{divide both sides by (-2)}\end{array}\right\\\left\{\begin{array}{ccc}y=5x-7&(*)\\3x+2y=12&(**)\end{array}\right\\\\\text{substitute }\ (*)\ \text{to}\ (**):\\\\3x+2(5x-7)=12\qquad\text{use distributive property}\\\\3x+(2)(5x)+(2)(-7)=12\\\\3x+10x-14=12\qquad\text{add 14 to both sides}\\\\13x=26\qquad\text{divide oth sides by 13}\\\\\boxed{x=2}\\\\\text{Put the vaalue of x to}\ (*):\\\\y=5(2)-7\\\\y=10-7\\\\\boxed{y=3}\\\\Answer:\ \boxed{x=2\ and\ y=3\to(2,\ 3)}$

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Marian is making accessories for the soccer team. She uses 888.44 inches of fabric on headbands for 36 players and 2 coaches. Sh

ki77a [65]

Answer:

23.38 inches of fabric was used for headband for each player.

9.43 inches of fabric was used for wristband for each player.

Step-by-step explanation:

Given that:

Total fabric used on headbands = 888.44 inches

Total number of players = 36

Total number of coaches = 2

Total number of people for whom headbands were made = Number of players + Number of coaches = 36 + 2 = 38

Amount of fabric used for each one = Total fabric used for headbands divided by Total number of people

Amount of fabric used for each one = $\frac{888.44}{38}=\bold{23.38\ inches}$

Similarly,

Total fabric used on wristbands = 339.48 inches

Total number of players = 36

Amount of fabric used for each one = Total fabric used for headbands divided by Total number of players

Amount of fabric used for each one = $\frac{339.48}{36}=\bold{9.43\ inches}$

8 0

3 years ago

12<br>6<br>X<br>8<br>What is the length of the side x?

JulijaS [17]

What are you looking for ? ... the area ??

7 0

3 years ago

In a random sample of 7 residents of the state of Maine, the mean waste recycled per person per day was 1.4 pounds with a standa

ivolga24 [154]

Answer:

a) The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.

b) $T_c = 2.4469$

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 7 - 1 = 6

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.4469, and the answer to question b is $T_c = 2.4469$

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.4469\frac{0.23}{\sqrt{7}} = 0.21$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1.4 - 0.21 = 1.19 pounds.

The upper end of the interval is the sample mean added to M. So it is 1.4 + 0.21 = 1.61 pounds.

The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.

7 0

2 years ago

What is the slope of a line parallel to the graph of y+1=-8(x-2)?

inn [45]

Y+1=-8(x-2)
y+1=-8x+16
y=-8x+15
The slope would be -8

8 0

3 years ago

What is the area of the triangle?

Advocard [28]

Answer:

Step-by-step explanation:

The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

6 0

3 years ago