solve for x or find x ​

Answer:

5 or 6

Step-by-step explanation:

So I did it in a different way than shown in rsm classes. I said that the speed was x-2 and x.

then I said the distance was 6 and 15. If the time taken was 1 hour more, then we can come up with this equation:

Since the time is 6/x-2 or 15/x

15/x-6/x-2=1

multiply everything to get a common denominator then cancel it out to get

(15x-30)-6x=x^2-2x

11x-30=x^2

x^2-11x+30=0

(x-5)(x-6) is factored form.

so x=5 or x=6. this means that the speed of the boat is either 5km/h or 6 km/h

Answer:

B (5, 13)

Step-by-step explanation:

9x + 4y = 97

9x + 6y = 123

To solve by elimination, we want to eliminate a variable. To do this, we must make one variable cancel out.

First, we can see that both equations have 9x. To cancel out x, we must make one of the 9x's negative. To do this, multiply each term in the equation by -1.

-1(9x + 6y = 123)

-9x - 6y = -123

This is one of your equations. Set it up with your other given equation.

9x + 4y = 97

-9x - 6y = -123

Imagine this is one equation. Since every term is negative, you will be subtracting each term.

9x + 4y = 97

-9x - 6y = -123

___________

0x -2y = -26

-2y = -26

To isolate y further, divide both sides by -2.

y = 13

Now, to find x, plug y back into one of the original equations.

9x + 4(13) = 97

Multiply.

9x + 52 = 97

Subtract.

9x = 45

Divide.

x = 5

Check your answer by plugging both variables into the equation you have not used yet.

-9(5) - 6(13) = -123

-45 - 78 = -123

-123 = -123

Your answer is correct!

(5, 13)

Hope this helps!

Answer:

[tex]5G + 4S + 2B = 26[/tex]

[tex]2G + 2S + 2B = 13[/tex]

[tex]3G + 4S + 6B = 26[/tex]

Step-by-step explanation:

Given

Represent Gold with G, Silver with S and Bronze with B

Required

Determine the system of equations

The packages are represented as:

The first: 5G + 4S + 2B

The second: 4G + 4S + 4B

The third: 3G + 4S + 6B

Each of the package costs $26.

So, we have:

[tex]5G + 4S + 2B = 26[/tex] -- (1)

[tex]4G + 4S + 4B = 26[/tex] -- (2)

[tex]3G + 4S + 6B = 26[/tex] -- (3)

Divide both sides of (2) by 2

[tex]4G + 4S + 4B = 26[/tex]

[tex]2G + 2S + 2B = 13[/tex]

So, the system of equations are:

[tex]5G + 4S + 2B = 26[/tex]

[tex]2G + 2S + 2B = 13[/tex]

[tex]3G + 4S + 6B = 26[/tex]

Answer:

Formula: V = a^3

a = 2in

Input: V = a^3 = 2^3 = 8

Step-by-step explanation:

Answer:

1/ 20

Step-by-step explanation:

Given :

Cards = {1,2,3,4,5,6,7,8,9,10}

Even number = {2,4,6,8,10}

Probability (drawing an even number) :

Number of even / total. Number of cards

5 / 10 = 1/2

Card with number, 5 :

P(card numbered 5) = 1/10

Since they are independent events :

P(even number) * P(card numbered 5)

1/2 * 1/10 = 1/20

Answer:

Total surface area is 48 square Centimeter

Step-by-step explanation:

Total surface area is equal to the product of triangular base area and the height of the prism

Area calculation of triangular base

[tex]S = \frac{3+4+5}{2} = 6\\[/tex]

Area =

[tex]\sqrt{S(S-a)(S-b)(S-c)}[/tex]

Substituting the given values in above equation we get

[tex]\sqrt{6 *3*2*1} = 6[/tex] square centimeter

Total surface area

= [tex]2 * 6 + (3*3)+(3*4)+(3*5)\\= 12 + 9 + 12+ 15\\= 48[/tex] square Centimeter

Answer:

X=28

Step-by-step explanation:

4x+248=360

112=4x

x=28

Answer:

28

Step-by-step explanation:

Answer:

sedimentary rock is formed

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

Answer: A. y = 5x -7

Step-by-step explanation:

Y - 5x = -7

+ 5x + 5x

Y = 5x - 7

**you can’t subtract -5x to -5x because it’s already a negative. It should be a positive 5x so you can move it to the other side.

Answer:

16

Step-by-step explanation:

the sides now are 8x8

1/2 of that is 4x4 and 4x4=16

Answer:

Option 2

Step-by-step explanation:

Corresponding Angles Theorem

The slope is 5/7

Step-by-step explanation:

When you find slope you need to find both points and use the ordered pairs and subtract y1 - y2 and x2 - x1 and then you get your slope which is 5/7

sorry im bad at explaining

Answer:

Both true

Lelelelellele

Answer: 0.7515

Step-by-step explanation:

Binomial probability formula:

[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where

n = total number of trials.

p= probability of success in each trial.

x= Number of successes.

Let x be a binomial variable that represents the number of jurors come to just decision.

p= 0.65

n= 10

Required probability= [tex]P(x>5)=P(x=6)+P(x=7)+P(x=8)+P(x=9)+P(x=10)\\\\ =\ ^{10}C_6(0.65)^6(0.35)^4+ ^{10}C_7(0.65)^7(0.35)^3+ ^{10}C_8(0.65)^8(0.35)^2+ ^{10}C_9(0.65)^9(0.35)^1+^{10}C_{10}(0.65)^{10}(0.35)^0\\\\=0.75149550912\approx0.7515[/tex]

Hence, the probability more than half come to a just decision = 0.7515

Answer: Translation:  

The length of a room is 2 meters greater than its width. The area is 80 m ?. How long is it? How wide is it?

Step-by-step explanation:

Answer:

36.45

Step-by-step explanation:

5.50 × 3 = 16.5

16.5 + 19.95 = 36.45

sorry if wrong.

hope it helps.

Answer:

67

70

73

76

79

82

85

Answer:

The answer are 8 and 64

Step-by-step explanation:

[tex] \sqrt[3]{8} = 2 \\ \sqrt[3]{64} = 4[/tex]

Answer:

0

Step-by-step explanation:

i think im not sure the way this question is written doesn't make a lot of sense

Answer:

x=5

y=1

Step-by-step explanation:

3*5=15

5*1=5

15+5=20

Answer: area of smaller is 18 and larger is 45 so the answer is 27

Step-by-step explanation:

Answer:

i think g(x) is not the inverse function of f(x). HOPE THIS HELPS!

Step-by-step explanation:

Answer:

First one: 12 ft

Second one: 50ft^2

Step-by-step explanation:

Because both triangles are congruent, any value on one triangle is the same one on the other triangle so CBD= 12ft for the perimeter

Second one:

because both triangles are congruent like I stated above, both triangle are congruent.

But in this case we have to find the area of the whole rectangle.

What we do here is multiply 25 by 2

or

add 25+25

our answer is 50ft^2

Answer:

The solution is 1.

Step-by-step explanation:

Any number raised to the 0th power will always be 1.

Answer:

slope of given line is 4.

so slope of line perpendicular to it will be -1/4

Answer:

a = 6, b = 12, c = 18, d = 12

Step-by-step explanation:

Answer:

P = a(61a - 36b + 50c) + 10b² + 89c² - 16bc

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Geometry

Perimeter Formula [Triangle]: P = L₁ + L₂ + L₃

Step-by-step explanation:

Step 1: Define

L₁ = (6a - 3b)(6a - 3b)

L₂ = (5a + 5c)(5a + 5c)

L₃ = (8c - b)(8c - b)

Step 2: Find Perimeter