Use the addition method to solve the system of linear equations for x. (Enter an exact number.)
3x - 2y = 8
2x + y = 3​

Answer:

50 miles

Step-by-step explanation:

let he hiked a,b,c and d miles on each of the four days respectively.

then, according to the question.

a+b=26...i

b+c= 24...ii

c+d=28...iii

a+c=22...iv

now, adding i,ii,iii,iv we get

2(a+b+c+d) = 100

a+b+c+d= 50 miles.

Hence, he traveled in all 50 miles.

Step-by-step explanation:

Q1. 1,075÷12.5 =8

So Therefore 1g of medicine cost 8 naira

Q2.645÷42=15.3

so therefore 1 hour cost 15.3 naira

The cost of 1g of medicine is 86 naira and the total pay for someone who works 42 hours  is 27090 naira.

A division is a process of splitting a specific amount into equal parts.

Given that 12.5g of medicine cost 1,075 naira.

We have to find the cost of 1g of medicine.

12.5g=1075 naira

1g=1075/12.5

1g=86 naira.

the total pay for someone who works 42 hours and gets 645 naira per hour

The cost for 42 hours

42×645

27090 naira

Hence,  the cost of 1g of medicine is 86 naira and the total pay for someone who works 42 hours  is 27090 naira.

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▹ Answer

[tex]3\frac{5}{6}[/tex]

▹ Step-by-Step Explanation

6 drinks = 6 Pack (one pack)

23 ÷ 6 = [tex]\frac{23}{6} = 3\frac{5}{6}[/tex]

Mixed number - [tex]3\frac{5}{6}[/tex]

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer: It's 3 5/6

but isn't this 4th-grade work?

Step-by-step explanation:

Answer:

C.) 60°

Step-by-step explanation:

The triangle is an equilateral triangle. So that means that all the angles measure the same. And we have to remember that a triangle always equals 180°

So, to find out the measure of an angle. We must divide 180 by 3. Which is 60

=60°

Hope this helps you out! : )

Answer:

3/4

Step-by-step explanation:

Rise over run.

Go up 3 units and 4 units to the right to find the next point

Answer:

Using points ( 8 , 9 ) and ( 4 , 6)

Slope = 6-9/4-8

= -3/-4

= 3/4

Hope this helps

Answer:

10 and 5.

Step-by-step explanation:

Let the integers be x and y.

xy = 50

x = 2y

Put x as 2y in the first equation.

(2y)y = 50

2y² = 50

y² = 50/2

y² = 25

y = √25

y = 5

Put y as 5 in the second equation.

x = 2(5)

x = 10

Answer:

-2

Step-by-step explanation:

The slope of a line is

m = (y2-y1)/(x2-x1)

   = (-2 -4)/(-1 - -4)

   = -6/ ( -1 +4)

   = -6 /3

    =-2

Answer:

[tex]= - 2 \\ [/tex]

Step-by-step explanation:

[tex]( - 4 \: \: \: \: \: \: \: \: \: \: \: 4) = > (x1 \: \: \: \: \: \: y1) \\ ( - 1 \: \: \: \: - 2) = > (x2 \: \: \: \: \: \: y2)[/tex]

Now let's find the slope

[tex]slope = \frac{y1 - y2}{x1 - x2} \\ = \frac{4 - ( - 2)}{ - 4 - ( - 1)} \\ = \frac{4 + 2}{ - 4 + 1} \\ = \frac{6}{ - 3} \\ = - 2[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Answer:

[tex]\boxed{Option \ D}[/tex]

Step-by-step explanation:

The combination of a rational number (3) and an irrational no. ([tex]4i[/tex]) is called a complex number.

So,

[tex]3+4i[/tex] is a complex no.

Answer:

D. Complex number.

Step-by-step explanation:

This number is not irrational, since 3 is rational.

The number is not entirely rational, since 4i is irrational.

The number is not real because i is not real.

So, the number is a Complex number, since it includes both real and nonreal numbers.

Hope this helps!

Answer:

a. 0.48

b. 0.14

c. 0.47

Step-by-step explanation:

Data provided in the question

0 - 2        0.48

3 - 5        0.26

6 - 8        0.12

9- 11        0.09

12- 14       0.05

Based on the above information

a. The probability for fewer than three phobias is

= P( x < 3)

= 0.48

b.  The probability for more than eight phobias is

= P( x >8)

= 0.09 + 0.05  

= 0.14

c. Probability between 3 and 11 phobias is  

= P(3 < x < 11)

= 0.26 + 0.12  + 0.09

= 0.47

Answer:

Option (1)

Step-by-step explanation:

Since the length of arc YZ = 12 units

m∠YXZ = one third of the full circle = [tex]\frac{360}{3}[/tex] = 120°

From the formula of arc length,

Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]

Where θ = Central angle subtended by the arc

r = radius of the circle

By substituting these values in the formula,

12 = [tex]\frac{120}{360}(2\pi r)[/tex]

12 = [tex]\frac{2}{3}\pi r[/tex]

[tex]18=\pi r[/tex]

r = [tex]\frac{18}{\pi }[/tex]

r = 5.73

r ≈ 6 units

Therefore, Option (1) will be the answer.

Answer:

2400

Step-by-step explanation:

using simple ratio

we have Account A : account B as

8:12

2:3 .....the 8% account gets

2/5 × 6000

= 2× 1200 = 2400

Answer:

12

Step-by-step explanation:

( J , Q, K 4 each)

so prob that for 2 cards, both cards are face

= C(12,2)/C(52,2) = 66/1326 = 11/221

Answer:

Use a graphing calc or desmos

Step-by-step explanation:

Answer:

  m less-than-or-equal-to 28

Step-by-step explanation:

Xander's charge for m miles will be (3 +1.50m). He wants this to be no more than $45, so ...

  3 +1.50m ≤ 45

  1.50m ≤ 42 . . . . . . subtract 3

  m ≤ 28 . . . . . . . . . .divide by 1.5

Answer: M is less than or equal to 28 or C

Step-by-step explanation:

GOT RIGHT ON E D G

Answer: 73 degrees and 107 degrees.

Step-by-step explanation:

The total of supplementary angles are 180 degrees. So you add 2x+3 and 3x+2. Then you get 5x+5=180.

Subtract 5 from both sides. Now the equation is 5x=175.

Divide 5 on each side. x=35

Replace x with 35 in the equations. The angles are 73 and 107.

They both add up to 180 degrees so it is correct.

Answer:

Option 2.

Step-by-step explanation:

The first term is already given as -2.

Therefore, the options 1 and 4 are wrong.

The nth term has 3 multiplied.

-2 × 3 = -6

-6 × 3 = -18

-18 × -54

The answer is not option 3, because that sequence has no common difference or ratio.

Therefore, the answer is option 2.

Answer:

Answer D (the fourth one)

Step-by-step explanation:

First, we need to set up a (y−k)^2=4p(x−h). After plugging in all of your values, you would get (x-5)^2=-4(y-1). Now, we need to solve in terms of y by dividing each side by the factors that don't contain the variable. Your final solution should be [tex]y = -\frac{1}{4}(x - 5^{2}) + 1[/tex]

The equation is y = −one fourth(x − 5)2 + 1.

This form is called the usual shape of a quadratic function. The graph of the quadratic feature is a U-shaped curve is known as a parabola. The graph of the equation y=x2, shown under, is a parabola.

In trendy shape, the “a” cost represents the identical element because it does in vertex shape. Just as noted earlier than, it dictates the path of the parabola's commencing. If a > zero the parabola opens upwards, resulting in a minimal price. If a < zero, however, the parabola opens downwards, resulting in a maximum price.

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Answer:pete

Step-by-step explanation:

Step-by-step explanation:

The given sequences are;

2,7,12,17......

difference =5

by using formula,

we get,

tn=a+(n-1)d

tn= 2+(n-1)5

Therefore, tn is 5n-3 is required formula for this arithmetic sequences.

Hope it helps....

Answer:

$15

Step-by-step explanation:

Each cup is 50 cents which is basically $0.50

Multiply $0.50 by 120= $60

Because you and your three friends equal 4 total people,

divide 60 by 4 to get your own profit:

60/4=15

Answer:

C Nasir was more successful because he had the greater measure of center

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

h = 9 ft  

Step-by-step explanation:

Assume the diagram is like the one below.

∆ABD is a right triangle.

We can use Pythagoras' Theorem to find the height h.

[tex]\begin{array}{rcl}h^{2} + 40^{2} & = & 41^{2}\\h^{2} + 1600 & = & 1681\\h^{2} & = & 1681 - 1600\\& = &81\\h& = & \sqrt{81}\\&=& \mathbf{9}\end{array}\\\text{The height of the gable is $\large \boxed{\textbf{9 ft}}$}[/tex]

Answer:

x = 1

y = 4

Step-by-step explanation:

5x + 2y = 13

x + 2y = 9

Add both equations.

6x + 4y = 22

Solve for x.

6x = 22 - 4y

x = 22/6 - 4/6y

Put x as 22/6 - 4/6y in the second equation and solve for y.

22/6 - 4/6y + 2y = 9

-4/6y + 2y = 9 - 22/6

4/3y = 16/3

y = 16/3 × 3/4

y = 48/12

y = 4

Put y as 4 in the first equation and solve for x.

5x + 2(4) = 13

5x + 8 = 13

5x = 13 - 8

5x = 5

x = 5/5

x = 1

Answer:

x = 1, y = 4

Step-by-step explanation:

5x+2y = 13

x+2y = 9

Subtracting both equations

=> 5x+2y-x-2y = 13-9

=> 4x = 4

=> x = 1

Now, Putting x = 1 in the first equation

=> 5(1)+2y = 13

=> 2y = 13-5

=> 2y = 8

=> y = 4

Answer:

b. not all the children can be above average

d. half the children must be below average

Step-by-step explanation:

In theory, all women could be strong and all men could be good looking, however, since the average is calculated based on the town children, it is not possible for all children to be above average.

Assuming a normal distribution, half the children must be at or below average, while the other half must be at or above the average.

Therefore, the correct answers are:

b. not all the children can be above average

d. half the children must be below average

Answer:

Second and last options are correct choices.

Step-by-step explanation:

If all the children are above average, then the average should not include the average of the children. Because it is impossible for a data set to be have values greater than it's average.

Best Regards!

Answer:

4.9 hours = 4 hours 54 minutes

Step-by-step explanation:

speed = distance/time

time * speed = distance

time = distance/speed

time = (284 miles)/(58 mph) = 4.9 hours

4.9 hours - 4 hours = 0.9 hours

0.9 hours * (60 minutes)/(1 hour) = 54 minutes

4.9 hours = 4 hours 54 minutes

Answer:

21564 ÷ 2 = 10782

40565 ÷ 5 = 8113

6365 ÷ 8 = 795.625

1436 ÷ 7 = 205.142857143

Answer:

Hey there!

Elif can only arrange the chairs like: 4 by 7, and 7 by 4.

Hope this helps :)

Answer:

-3

Step-by-step explanation:

I'm not sure what the 0s are all about, but I can help with the equation;

To do this, we can do substitution. By equaling x-4 to 3x+2, we get

x-4=3x+2

By isolating the x, we get

-2x=6

x=-3

Hope this helped!

Answer: 0.003757(approx).

Step-by-step explanation:

Total number of combinations of selecting r things out of n things is given by:-

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

Total cards in a deck = 52

Total number of ways of choosing 8 cards out of 52 = [tex]^{52}C_8[/tex]

Total number of ways to choose 5 clubs and 3 cards with one of each remaining suit = [tex]^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1[/tex]  [since 1 suit has 13 cards]

The required probability = [tex]=\dfrac{^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1}{^{52}C_8}[/tex]

[tex]=\dfrac{\dfrac{13!}{5!8!}\times13\times13\times13}{\dfrac{52!}{8!44!}}\\\\=\dfrac{24167}{6431950}\\\\\approx0.003757[/tex]

Hence, the required probability is 0.003757 (approx).

Answer:

75%

Step-by-step explanation:

There are 3 numbers that fit this rule, 3, 5, and 6. There is a 3/4 chance spinning one or a 75% chance.

Answer:

75%

Step-by-step explanation:

The numbers 6 or odd are 3, 5, and 6.

3 numbers out of a total of 4 numbers.

3/4 = 0.75

Convert to percentage.

0.75 × 100 = 75

P(6 or odd) = 75%