Solve for x in the triangle. Round your answer to the nearest tenth.

Answer:

x = 6

y = 4

Step-by-step explanation:

Let the two numbers be x and y

Condition 1:

7x+3y = 54 -----------(1)

Condition 2:

x = 2+y -----------------(2)

Putting (2) in (1)

=> 7(y+2)+3y = 54

=> 7y+14+3y = 54

=> 10y = 54-14

=> 10y = 40

Dividing both sides by 10

=> y = 4

Now putting y = 4 in eq(2)

=> x = 2+4

=> x = 6

Answer:

[tex]4\\6[/tex]

Step-by-step explanation:

[tex]7x+3y=54\\x=y+2[/tex]

[tex]7(y+2)+3y=54\\7y+14+3y=54\\10y+14=54\\10y=40\\y=4[/tex]

[tex]x=y+2\\x=4+2\\x=6[/tex]

Answer:

Nico's method is correct

Step-by-step explanation:

Lauren carelessly forgot to add the negative sign

[tex]-\frac{4}{5} = \frac{-4}{-5}[/tex]

Answer:

x > -3

Step-by-step explanation:

-3x - 3 < 6

Add 3 to each side

-3x - 3+3 < 6+3

-3x < 9

Divide by -3 remembering to flip the inequality

-3x/-3 > 9/-3

x > -3

Answer:

b = (d-c)/a

Step-by-step explanation:

ab+c=d

Subtract c from each side

ab+c-c=d-c

ab = d-c

Divide by a

ab/a = (d-c)/a

b = (d-c)/a

Answer:

B is my best guess!

Step-by-step explanation:

Answer:

the mean (average) is 4

Step-by-step explanation:

add all the numbers together (100) and then divide by the number of patients (25).

The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of factor

(x-5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis

(x+2)^2 has the power of 2 which is an EVEN number. An Even power means that the graph will touch the x-axis

To find where it will touch the axis set the factor equal to zero and solve .

(x + 2) = 0

Subtract 2 from both sides

x=-2

Answer:

It is either 1 or 0.9

Step-by-step explanation:

COS=. adjacent / hypotenuse

adjacent   =  x

hypotenuse =19

COS= x / 19

cross multiply

x = COS (9)

x=0.91113026

The length of shorter side is 9.5 cm.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

Ratio = 1 : 2 : 3

Hypotenuse = 19 cm

The sides are x, 2x and 3x.

x+ 2x + 3x = 180

6x= 180

x= 30 degree

and, 3x= 90 degree

Now, using Trigonometry

sin 30 = y/ 19

y= 19/2

y= 9.5

Hence, the length of shorter side is 9.5 cm

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Answer:

£25

Step-by-step explanation:

Total price- £53.55

Pair of trainers cost- £38 before discount

Discount= 15%

Cost of pair of trainers after discount:

Price of the watch after discount:

Price of the watch before discount:

Answer:

There is an average of 3.75 people per family (Also known as 4, because you can't have 0.75 of a person)

Step-by-step explanation:

[tex]\frac{1+1+1+2+2+3+3+3+3+3+3+3+4+4+4+4+4+4+4+4+4+4+4+4+4+5+5+5+5+5+5+5+5+5+5+5}{36}[/tex]

Answer:

2 x + y - 3 = 0

2 g + 6 x - 14 = 0 2 g = -2 (3 x - 7)

x = 7/3 - g/3

Step-by-step explanation:

Solve for x:

2 g = 14 - 6 x

2 g = 14 - 6 x is equivalent to 14 - 6 x = 2 g:

14 - 6 x = 2 g

Subtract 14 from both sides:

-6 x = 2 g - 14

Divide both sides by -6:

Answer: |

| x = 7/3 - g/3

Answer:

y= -2 x + 3

y= 3 x + -7

The slops and they y-intercepts are different

Intersect at one point

Exactly one solution

Step-by-step explanation:

Edge 2022

Answer:

Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.

Step-by-step explanation:

As given in the graph,

Given function is a quadratic function, f(x) = (x + 2)(x + 6)

With x-intercepts of the function, x = -6 and -2

Graph below the x-axis represents the negative values of the function.

Graph above the x-axis represents the positive values of the function.

Therefore, function f(x) is positive for the values x ≤ -6 and x ≥ -2 and the function is negative in the interval -6 ≤ x ≤ -2.

Answer:

I'm not sure, but I think it is (0, -6).

Answer:

a is answer correct i think

Step-by-step explanation:

Answer:

E.

Step-by-step explanation:

There are 12 balloons in each package.  Multiply this by the number of packages to get the number of balloons.

Answer:

E. 12p

Step-by-step explanation:

Multiply 12 by the number of packages to get the total number of ballons.

Ex.

If P is 7 :

12 x 7 = 84

84 ballons in total.

Answer:

11 people are in each squad.

Step-by-step explanation:

A battalion of 880 people is made up 4 companies.

880/4 = 220 people

which means 1 company is made up of 220 people.

Each company is made up of 5 platoons.

220/5 = 44

which means each platoon is made up of 44 people

Each platoon contains 4 squads

44/4=11

which means each squad contains 11 people.

therefore each squad contains 11 people.

Answer:

Step-by-step explanation:

[tex]30\% \times 500 \\ 0.3 \times 500 \\ = 150[/tex]

Answer: the answer is 150

Step-by-step explanation:

30% x 500

0.3 x 500

= 150

Answer:

0.50

Step-by-step explanation:

Do the opposite of addition

So 1.25 - 0.75

The solution to the equation 1.25 = 0.75 + r for r is r = 0.5

From the question, we have the following parameters that can be used in our computation:

1.25 = 0.75 + r

Add -0.75 to both sides of the equation

so, we have the following representation

-0.75 + 1.25 = 0.75 + r + -0.75

Evaluate the like terms on the right hand side

This gives

-0.75 + 1.25 = r

Evaluate the like terms on the left hand side

This gives

0.5 = r

Rewrite as

r = 0.5

Hence. the solution is 0.5

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Answer:

1. 18x^11

2. 3n^7

3. x^9

4.-2s^9

5. 6v^14

6.-3p^6

7. 8b^10

can i get brainliest for this pls :)

Answer:

y > 4/3 x  - 2.

Step-by-step explanation:

First find the equation of the dashed line:

The slope (-6-2)/(-3-3)

= -8/-6

= 4/3.

y - y1 =m(x - x1)   where m = slope and (x1,y1) is a point on the line.

y  - 2= 4/3(x - 3)

y =  4/3(x - 3) + 2

y = 4/3 x  - 2

As the shading is above the line the answer is

y > 4/3 x  - 2.

Answer: A

Y>4/3x-2

Step-by-step explanation:

Answer:

Alex: 18

Thomas: 12

Step-by-step explanation:

A : T : TOTAL

3 : 2 : 3 + 2 = 5

total number of units : 5

total number of sweets : 30

1u = 30 ÷ 5 = 6

Alex = 3u = 3 × 6 = 18

Thomas = 2u = 2 × 6 = 12

Answer:

Step-by-step explanation:

Answer:

Solution,

Hypotenuse(h)=X

Perpendicular (p)=9

Base(b)=12

Now,

Using Pythagoras theorem,

[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {(9)}^{2} + {(12)}^{2} \\ or \: {x}^{2} = 81 + 144 \\ or \: {x}^{2} = 225 \\ or \: x = \sqrt{225} \\ or \: x = \sqrt{ {(15)}^{2} } \\ x = 15[/tex]

hope this helps...

Good luck on your assignment...

The length of the hypotenuse in the given triangle is A. 15 units.

This type of question makes a right-angled triangle that can be solved by Pythagoras's theorem.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Given, the base of the triangle is 12 units and the height is 9 units.

∴ x² = 9² + 12².

x² = 144 + 81.

x² = 225.

x = + 15 units.

So, the length of the hypotenuse is 15 units.

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Answer:

4

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Alright so the number has to be above 20 and below 35.

It has to be even, so our options are 22, 24, 26, 28, 30, 32, 34

Since the sum of the digits has to be 6, the only number from that list that it can be is 24.

This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.

Hope this helps!

Answer:

24

Step-by-step explanation:

This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.

Hope this helps!

Answer:

Option D.

Step-by-step explanation:

From the given graph it is clear that it is a parabola along to the x-axis.

Vertex form of a parabola along the x-axis is

[tex]x=a(y-k)^2+h[/tex]

where, (h,k) is vertex.

From the graph it is clear that the vertex of the parabola is (4,-3). So, substitute h=4 and k=-3 in the above equation.

[tex]x=a(y-(-3))^2+(4)[/tex]

[tex]x=a(y+3)^2+4[/tex]   ...(1)

The graph passing through (1,-2), so substitute x=1 and y=-2 in the above equation.

[tex]1=a(-2+3)^2+4[/tex]

[tex]1-4=a(1)^2[/tex]

[tex]-3=a(1)^2[/tex]

Substitute a=-3 in equation (1).

[tex]x=-3(y+3)^2+4[/tex]

Therefore, the correct option is D.

Answer:

I would say AA

Step-by-step explanation:

try to separate the picture to see the bigger picture and you can do it.

Answer:

A. [tex] x = \frac{5}{p} [/tex]

Step-by-step explanation:

[tex]px + 12 = 17 \\ px = 17 - 12 \\ px = 5 \\ x = \frac{5}{p} [/tex]

Answer:

third option

Step-by-step explanation:

Given

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

Answer:

x = -2 or x = 3

Step-by-step explanation:

The answer to your question is C.

Answer:

g(x) = x^3

Step-by-step explanation:

f(x)=(x+3)^3

The parent function is

g(x) = x^3

The function was shifted to the left 3 units from the parent function

f(x) = ( x- -3) ^3

f(x) = ( x+3) ^3