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Drupady [299]
3 years ago
6

Someone please solve this. no where is an answer to this

Mathematics
1 answer:
serg [7]3 years ago
8 0

Answer:

a=-8/5

Step-by-step explanation:

  (-1/2a-5)=3a+1

To find the opposite of  1/2 a−5, find the opposite of each term.

-1/2a-(-5)= -3a+1

The opposite of −5 is 5.

-1/2a+5=-3a+1

add 3a to both sides

-1/2a+5+3a=1

Combine-1/2and 3a to get 5/2a

5/2a+5=1

Subtract 5 from both side

5/2a=1-5

Subtract 5 from 1 to get −4.

5/2a=-4

Multiply both sides by 2/5 =0.4, the reciprocal of  5/2=2.5.

a=-4x(2/5)

express -4x(2/5)=1.6 as single  fraction.

a= -4x2/5

Multiply −4 and 2 to get −8.

a=-8/5

Fraction −8/5 ≈−1.6 can be rewritten as −8/5 =−1.6 by extracting the negative sign.

a=-8/5

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Elise and her dad are planning to attend the state fair. An adult ticket is $21.00. The price of an adult ticket is $10.00 more
sashaice [31]

Answer:The equation to determine how much Elise will pay for a student ticket is 2x = 33

Step-by-step explanation:

Let x represent the price of one student ticket.

Elise and her dad are planning to attend the state fair and the price of an adult ticket is $21.00

The price of an adult ticket is $10.00 more than two thirds the price of a student ticket. This means that

21 = 2/3 × x + 10

The equation to determine how much Elise will pay for a student ticket would be

2x/3 + 10 = 21

2x/3 = 21 - 10 = 11

2x = 11×3 = 33

x = 33/2 = $16.5

5 0
3 years ago
Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed
vlabodo [156]

Answer:

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)

Step-by-step explanation:

Our sample size is 11.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 11-1 = 10.

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have T = 1.812

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{4}{\sqrt{11}} = 1.2060

Now, we multiply T and s

M = Ts = 1.812*1.2060 = 2.19/tex]For the lower end of the interval, we subtract the sample mean by M. So the lower end of the interval here is[tex]L = 97 - 2.19 = 94.81 = 94.8cm

For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is

L = 97 + 2.19 = 99.19 = 99.2cm

So

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).

7 0
3 years ago
Help pls look at the picture
Alika [10]

Answer:

Option A: -\frac{4}{3} is the correct answer.

Step-by-step explanation:

Given that:

Slope of the line = \frac{3}{4}

Let,

m be the slope of the line perpendicular to the line with slope \frac{3}{4}

We know that,

The product of slopes of two perpendicular lines is equals to -1.

Therefore,

\frac{3}{4}.m=-1\\

Multiplying both sides by \frac{4}{3}

\frac{4}{3}*\frac{3}{4}m=-1*\frac{4}{3}\\

m = -\frac{4}{3}

-\frac{4}{3} is the slope of the line perpendicular to the line having slope \frac{3}{4}

Hence,

Option A: -\frac{4}{3} is the correct answer.

3 0
3 years ago
the difference of two numbers is 16. The greater number is 5 less than 4 times the smaller number find the numbers
inna [77]
L-s=16
4s-5=l
4s-l=5
3s=21
s=7
l-7=16
l=16+7
l=23
The smaller number is 7 and the greater number is 23
5 0
3 years ago
5x6-1+3=28 brackets or braces should be added
Artyom0805 [142]
5 · (6 - 1) + 3
= 5·5 + 3
= 25 + 3
= 28
7 0
2 years ago
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