Solve the system below using linear combination. 2x – 7y = -7 3x + 8y = 45 i need a step by step explanation please

Answer:

6 over 9 = 6/9 11 over 88 = 11/88 6/9 = 0.6667(repeating) 11/88 = 0.125

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Answer:

3 pairs of socks

Step-by-step explanation:

2 shirts *12per shirt = $24 spent so far

$39 - $24 dollars spent so far = $15 dollars left

$15 dollars left/$5 per pair of socks = 3 pairs of socks.

An equation is formed of two equal expressions. The total number of socks that Rebecca bought is 3.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of pairs of socks that Rebecca bought be represented by x.

Given that Rebecca buys some socks that cost $5 per pair and 2 t-shirts that cost $12 each. Also, the total purchase value is $39. Therefore, we can write the equation as,

Purchase value of socks + Purchase value of t-shirts = Total purchase value

($5 × x) + ($12 × 2) = $39

5x + 24 = 39

5x = 39 - 24

5x = 15

x = 15/5

x = 3

Hence, the total number of socks that Rebecca bought is 3.

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Answer:

  17.  C 60°

  18.  D 121°

Step-by-step explanation:

The external angle is half the difference of the intercepted arcs.

17. (161° -41°)/2 = 60°

__

18. (? -59°)/2 = 31°

  ? = 59° +2(31°) = 121°

External angle∠C of the given circle is 60°

The angle subtended by the arc VS  is 121°

External angle is half of the difference between angles subtended by arcs.

So in problem 17,

∠C = (161°-41°)/2 = 60°

In problem 18,

We got the external angle = 59°

Let us take the angle subtended by arc = x

so,

(x-59°)/2 = 31°

x = 121°

Therefore, External angle∠C of the given circle is 60°

The angle subtended by the arc VS  is 121°

To get more about circles refer to the link,

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Answer:

The height is 14.3 km

Step-by-step explanation:

Given

[tex]distance= 12km[/tex]

[tex]\theta= 50[/tex] --- angle of elevation

Required

Determine the height above the ground

The question is illustrated using the attached image.

To calculate the required height, we make use of:

[tex]tan(\theta) = \frac{AB}{BC}[/tex]

Where AB represents the height and BC, the distance.

So:

[tex]tan(50) = \frac{AB}{12}[/tex]

Make AB the subject

[tex]AB = 12 * tan(50)[/tex]

[tex]AB = 12 * 1.1918[/tex]

[tex]AB = 14.3016[/tex]

[tex]AB = 14.3km[/tex] --- approximated

The height of the airplane above the ground is 9.19 km.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the airplane above the ground. Hence:

sin(50) = h / 12

h = 9.19 km

The height of the airplane above the ground is 9.19 km.

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Answer: Credit to work in process invetory-assembly

Answer:

its C because it makes the most sense "Credit to work in process invetory-assembly."

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

18 - 8 = 10

10 x 2 = 20

check:

20 divided by 2 = 10

10 + 8 = 18

answer: 20

Answer:

94.25mm

........................

Answer:

94.25 mm

Step-by-step explanation:

The circumfrence of a cirlce can be found using the following formula:

C = 2 x PI x R

Circumfrence = 2 x 3.14 x 15

= 94.25

Answer:

0.05 kilometer is the answer

Step-by-step explanation:

hope this answer may help you

Answer:

78.54 m^2

Step-by-step explanation:

The computation of the area of the circle is shown below:

As we know that

Area of the circle = πr^2

Also

Diameter = 2r

10 = 2r

r = 5

So, the area of the circle is

=  3.14 × 5^2

= 78.54 m^2

Step-by-step explanation:

subtract 5 under itself and 21 , then cross out the 5 and only subtract 21 and 5 which is 16 and then bring down 2x so now your equation will be 2x=5 so now your gonna divide 2 and 5

Answer:

[tex]-x-(-y) = y-x[/tex]

Step-by-step explanation:

lets say you have two negative numbers, -x and -y (x and y are positive).

[tex]-x-(-y) = y-x[/tex]

Your answer is a positive number.

Answer:

we will call the two angles a and b

a = 105

b = 75

Step-by-step explanation:

Supplementary means the two angles add up to 180 degrees.  Now this turns into a system of equations problem.  let's call the two angles a and b.

Lets say angle a is 45 degrees less than twice the other angle.  that means a = 2b - 45.  The first part told us a + b = 180

a + b = 180

a = 2b - 45

Now this is actually super easy to do.  Normally you would have to do algebra to one of the two equations so there is one variable by itself.  the second equation already has that.

now look at the other equation.  instead of a though make a = 2b - 45

a + b = 180

2b - 45 + b = 180

Now use algebra to solve for b

2b - 45 + b = 180

b = 75

Now, go back to the first two equations.  put 75 in for b for either one of them and you will get the answer to a.

a + 75 = 180

a = 105

or

a = 2*75 - 45

a = 105

Now we can check.  a=105 and b = 75

do both add up to 180?  yep.  is a 45 less than twice b?  or using numbers, is 105 45 less than twice 75?  well twice 75 is 150.  and 105 is 45 less than that, so yep!

Let me know if there was anything you didn't get.  Also you could totally have started with the other equation first and got a = 180 - b or b = 180 - a and gotten the same answer.

Answer:

Angle Z is 33.

Step-by-step explanation:

Angle Z is also 33. X and Z are equivalent angle therefore it has to be 33 as well.

Answer: force F = uN, u 0.34 and N = 8000 N also F = 2720 N, thus 4000 N is enough

It

Step-by-step explanation:

Answer:

10,000 i think....i hope this helps

Step-by-step explanation:

Answer:

-9<x≤2

Step-by-step explanation:

The domain is the x values

If we look at the line, we see a closed circle when x=2, so x is less than or equal to 2

The other circle is open and is at -9, so x is greater than -9

-9<x≤2

Lemme know if u need more explanation!

Answer:

-12

Step-by-step explanation:

Answer: 522.67 mm^3

Step-by-step explanation:

use formula

Answer:

A.)

H0: μ ≤ 31

H1: μ > 31

B.)

H0: μ ≥ 16

H1: μ < 16

C.)

Right tailed test

D.)

If Pvalue is less than or equal to α ; we reject the Null

Step-by-step explanation:

The significance level , α = 0.01

The Pvalue = 0.0264

The decision region :

Reject the null if :

Pvalue < α

0.0264 > 0.01

Since Pvalue is greater than α ; then, we fail to reject the Null ;

Then there is no significant evidence that the mean graduate age is more Than 31.

B.)

H0: μ ≥ 16

H1: μ < 16

Null Fluid contains 16

Alternative hypothesis, fluid contains less than 16

One sample t - test

C.)

Null hypothesis :

H0 : μ ≤ 12

. The direction of the sign in the alternative hypothesis signifies the type of test or tht opposite direction of the sign in the null hypothesis.

Hence, this is a right tailed test ; Alternative hypothesis, H1 : μ > 12

d.)

If Pvalue is less than or equal to α ; we reject the Null.

Answer:

26 1/3

Step-by-step explanation:

I simplfied 79/3 on paper :)

9514 1404 393

Answer:

Step-by-step explanation:

1. The empirical rule tells you 68% of the distribution is within 1 standard deviation of the mean. The mean is 50 and the standard deviation is 0.2, so this means 68% of the bags weigh between 49.8 and 50.2 lb.

__

2. The other 32% is evenly split above and below the central part of the distribution. That is, about 16% of the bags will weigh less than 49.8 lb.

__

3. The percentage is independent of the size of the group. The empirical rule tells you 95% lie within 2 standard deviations of the mean. The other 5% will be evenly split between those weighing more than 50.4 and those weighing less than 49.6 lb. About 2.5% of the bags will weigh more than 50.4 lb.

_____

Additional comment

It is useful to remember the empirical rule numbers, 68%, 95%, 99.7% for the portion of the distribution between ±1, 2, 3 standard deviations of the mean. They are useful for answering questions like this one. (They are only approximations, so if more accuracy is needed, a table or app should be used to find the accurate value.)

9514 1404 393

Answer:

  (c)  91°

Step-by-step explanation:

Based on your description, it appears that angles 3 and 4 form a linear pair. This means angle 4 is the supplement to angle 3:

  angle 4 = 180° -89°

  angle 4 = 91°

Answer:

91°

Step-by-step explanation:

Answer:

5 more arrows

Step-by-step explanation:

62 - 42 = 20  20 / 4 = 5

The archer can buy 5 more arrows.

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Step-by-step explanation:

Answer:

192

Step-by-step explanation:

you have divide 24 by 3 and once you get that you get 8 then you do the amount of calories divide by 8

Answer:

D

Step-by-step explanation:

Answer:

n+4=32 models this scenario.

This is because n+4 would show how many students are originally in the class.

Let me know if this helps!