if x=2,y=3 and z=4 find yz÷x 10x+7xz​

Step-by-step explanation:

i hope it helped U

Answer:

24 is the answer. Hope it helps you! Stay blessed.

Step-by-step explanation:

[tex] \sin(x) + \cos(x) \times \tan(x) \\ = \sin(x) + \cos(x) \times \frac{ \sin(x) }{ \cos(x) } \\ = \sin(x) + \sin(x) \\ = 2 \sin(x) [/tex]

Step-by-step explanation:

sin(x) + cos(x) = sin x ÷cos x

sin(x) + cos(x) sin(x) ÷ cos (x)

join cos x and sin x

sin x + sin x

cancel cos x with cos x

The answer is 2 sin x

Answer:

f(g(25)) = -5

Step-by-step explanation:

You have to put 25 in place of x in g, and after, you take the result and put in place of x in f:

g(5) = √25 = 5

f(5) = 5^2 -6•5

f(5) = 25 -30

f(5) = -5

Answer:

[tex] \frac{3393939}{10000000} [/tex]

Step-by-step explanation:

[tex]0.(3)3(9) = \frac{3393939}{10000000} [/tex]

Step-by-step explanation:

a)6!+12-3

=6!+9

b)-18+3!+4

=3!-14

=3!+(-14)

both are in the form if (+)!+constant.

Note:if you need to know any question about it please let me know.

Answer:

5,12,13

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Step-by-step explanation:

[tex] \frac{ - 21}{3} - \frac{11}{2} [/tex]

[tex] \frac{ - 21 \times 2 - 11 \times 3}{6} [/tex]

[tex] \frac{ - 42 - 33}{6} [/tex]

[tex] \frac{ - 75}{6} [/tex]

[tex]12.5[/tex]

if 6 litres cost £7.20

then 1/2 of it will cost 'x'(algebraic value)

we form equation

[tex] \frac{ 7.2}{6} \times \frac{1}{2}x[/tex]

which is equal to 0.6

Cost of 1/2 liter is £0.6.

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

According to the question

Cost of 6 liters ⇒ £7.20

Cost of 1/2 liter ⇒ X

According to the unitary method

6X = [tex]7.20\times\frac{1}{2}[/tex]

X  = [tex]\frac{7.20}{6}\times\frac{1}{2}[/tex]

X = [tex]\frac{3}{5}[/tex]

X = £0.6

Cost of 1/2 liter is £0.6

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Answer:

Step-by-step explanation:

Given,

x + ( x + 8) + 2x = 180° [Since angle sum property of triangle]

=> x + x + 8 + 2x = 180

=> 4x + 8 = 180

=> 4x = 180 - 8

=> 4x = 172

[tex] = > x = \frac{172}{4} [/tex]

=> x = 43

As,

We got value of x as 43 so,

x° = 43°

x° = 43 + 8 = 51°

x° = 2 × 43 = 86°

Answer:

180

Step-by-step explanation:

Answer:

Alright, here we go.

11. Those are vertical angles.  All vertical angles are equal.

6x + 7 = 8x - 17

2x = 24

x = 12

12. Those are linear angles (adjacent angles on a line).  Linear angles = 180.

(11x - 15) + (5x - 13) = 180

16x - 28 = 180

16x = 208

x = 13

13. If BD is perpendicular to AC, that means ∠ABD and ∠CBD = 90°.  ∠CBD is made up of angle DBE, which equals (2x - 1)° and angle CBE, which equals (5x - 42)°.  

(5x - 42) + (2x - 1) = 90

7x - 43 = 90

7x = 133

x = 19

14. Angles PQS and SQR are equal and halves of angle PQR because of bisector QS.  If PQR = 82°, angle PQS = 41°

10x + 1 = 41

10x = 40

x = 4

15. If the bottom angle is (x + 10)°, then the top angle is also (x + 10)° because they're vertical angles.  Angle (x + 10) and angle (10x - 61) are linear  angles, so they equal 180.

(x + 10) + (10x - 61) = 180

11x - 51 = 180

11x = 231

x = 21

As for y, insert 21 as x for (10x - 61).  

10(21) - 61

210 - 61

149

(18y + 5) should also equal 149° bc of vertical angles.

18y + 5 = 149

18y = 144

y = 8

x = 21

y = 8

(16 is crossed off so I'm going to assume you're not doing that one.)

17. If angle MNQ = (8x + 12)°, and it's bisected by NP, we can say that angles MNP and PNQ are equal halves of  (4x + 6)°.  Now, we were told that angle PNQ = 78°.

4x + 6 = 78

4x = 72

x = 18

This means that angle MNQ = 78 x 2, which is 156.

Now to find y, we see that angles MNQ and RNM are linear angles, so we can say:

(3y - 9) + 156 = 180

3y - 9 = 24

3y = 33

y = 11

x = 18

y = 11

(This took a while.)

Answer:

10

Step-by-step explanation:

[tex]\\ \rm\longmapsto Speed=\dfrac{Distance}{Time}[/tex]

[tex]\\ \rm\longmapsto Speed=\dfrac{800}{10}[/tex]

[tex]\\ \rm\longmapsto Speed=80km/h[/tex]

[tex]\\ \rm\longmapsto Distance=Speed(Time)[/tex]

[tex]\\ \rm\longmapsto Distance=80(14)[/tex]

[tex]\\ \rm\longmapsto Distance=1120km[/tex]

Answer:

95kg

Step-by-step explanation:

Mass÷Volume=Density

Therefore, Mass = Volume × Density

Mass = 1500 × 95

Mass = 95,000g

Since we were asked to find the mass in kg:

1000g = 1kg

Therefore, 95,000g = 95kg

Answer:

x = 6.5

Step-by-step explanation:

In order to solve this problem, you need to use trigonometry (sin, cosine, tangent).  

Sin = opposite/hypotenuse

Cosine = adjacent/hypotenuse

Tangent = opposite/adjacent

We need to use tangent in this case because 10 is the opposite side from the 57° angle, and x is right next to it, making it adjacent.  So, our equation would look like this:

tan (57)° = 10/x

Multiply both sides by x

x (tan (57)°) = 10

Divide both sides by tan (57)°

10 / tan (57)° = 6.49408 = 6.5

Step-by-step explanation:

We are given two angles measures and one side. Notice the given angle and the side that is opposite to that given angle is given. We need to find side x. But can we also find the angle opposite of the side we are trying to find. Yes we can

Remeber that triangles interior angles add up to 180.

Remeber that triangles interior angles add up to 180.One angle measure 90 and the other measure is 57 so

[tex]90 + 57 + x = 180[/tex]

[tex]x = 33[/tex]

So the angle opposite of the side we are trying to find is 33.

Since we know two angles and two sides that are opposite of those two angles respectively, we can use what is called Law of Sines

[tex] \frac{b}{ \sin(b) } = \frac{c}{ \sin(c) } [/tex]

where the numerator are the side measures, and the denominator are the angle measures.

Plug in the respectively values. Angle 57 is opposite of 10 and Angle 33 is opposite of x.

[tex] \frac{10}{ \sin(57) } = \frac{x}{ \sin(33) } [/tex]

Multiply both sides by sin 33 to isolate x.

We get

[tex]x = 6.494[/tex]

Round if needed

In other words, apply law of sines when you have two angles and two sides that are opposite of those angles respectively.

Answer:

y= -6/5x +3

Step-by-step explanation:

y = mx + b is the formula for every linear equation. m is the slope (comment if you don't know how to find the slope), and b is the y-intercept. You just have to find those terms and plug them in.

Answer:

Its C.

Step-by-step explanation:

I had this and its C. trust me

Hello :D

2 x $4.52 = $9.04

$9.04 + $11.47 = $20.51

2 x $20 = $40.00

$40.00 - $20.51 = $19.49

With change:

$40.00 + $7.72 = $47.72

$47.72 - $20.51 = $27.21

Answer:

(x+2)^2-6

Step-by-step explanation:

(x+2)^2 = x^2 + 4x + 4

x^2 + 4x + 4 -6 = x²+4x-2

Answer:

(x + 2)² - 6

Step-by-step explanation:

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² + 4x

x² + 2(2)x + 4 - 4 - 2

= (x + 2)² - 6

Answer:

6

Step-by-step explanation:

The range of the middle 50% is the right side of the box subtracting the left side of the box

14-8

6

Answer:

16

Step-by-step explanation:

since -4 is being squared, we can write it out as -4 * -4, to get us the answer 16. this answer is positive because a negative times a negative will cancel out and = a positive.

Bachelor's degree salary = $53000

Master's degree salary = $66000

Step-by-step explanation:

Given that :

Let Salary of bachelor's degree holder = x

Salary of Master's degree holder = 2x - 40000

Master's salary + bachelor's salary = $119,000

Hence,

Master's salary + bachelor's salary = 119,000

2x - 40000 + x = 119,000

3x = 119000 + 40000

3x = 159000

x = 159000 / 3

x = $53,000

Bachelor's degree salary = $53,000

Master's degree salary ; 2x - 40000 ; 2(53000) - 40000 = $106,000 - $40,000 = $66000

The average yearly salary of an individual with a bachelor's degree is $58,000, and the average yearly salary of an individual with a master's degree is $66,000.

Let, the average yearly salary of an individual with a bachelor's degree as "B" and the average yearly salary of an individual with a master's degree as "M".

According to the information given:

The average yearly salary of an individual with a master's degree is $50 thousand less than twice that of an individual with a bachelor's degree:

M = 2B - $50,000

The combined yearly salaries of two people with each of these educational attainments earn $124 thousand:

B + M = $124,000

Now we can solve this system of equations to find the values of B and M.

Substitute the value of M from the first equation into the second equation:

B + (2B - $50,000) = $124,000

3B - $50,000 = $124,000

Now, solve for B:

3B = $174,000

B = $174,000 / 3

B = $58,000

Substitute the value of B back into the first equation to find M:

M = 2B - $50,000

M = 2 * $58,000 - $50,000

M = $116,000 - $50,000

M = $66,000

So, the average yearly salary of an individual with a bachelor's degree is $58,000, and the average yearly salary of an individual with a master's degree is $66,000.

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A. 13 units is the answer.

X=10

Y=14

Step-by-step explanation:

Solve simultaneously using substitution method as shown in the image

Answer:

Small shirts = 12 shirts

Large shirts = 18 shirts

Step-by-step explanation:

Given information

There are plans for ordering 24 medium shirts.

For every 4 medium shirts, there would always be 2 small shirts and 3 large shirts.

STEP ONE: Find how many groups of [4 medium shirts] are ordered.

24 / 4 = 6

There should be 6 groups of 4-medium-shirts orders.

STEP TWO: Find the number of small shirts.

6 × 2 = 12 shirts

STEP THREE: Find the number of large shirts.

6 × 3 = 18 shirts

Hope this helps!! :)

Please let me know if you have any questions or need further explanations

Answer:

105

Step-by-step explanation:

219+(-114)=219-114=105

Conjectures are used to form opinions about a certain subject. The conjecture from the given figure is that:

The number of triangles that can be formed by an n-sided shape is n - 2.

Given that:

[tex]n \to[/tex] number of sides

From the attached figures, we have the following observation.

If this pattern continues, the number of triangles for an n-sided shape will be: n - 2

Hence, the conjecture is:

The number of triangles that can be formed by an n-sided shape is n - 2.

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