Find the HCF of 150 and 180.

Answer:

118

Step-by-step explanation:

E = 41

Colin is 10 years older than Emily.     C = E + 10 = 41 + 10 = 51, C = 51

Dan is 15 years younger than Emily.   D = E - 15 = 41 - 15 = 26, D = 26

E + C + D = 41 + 51 + 26 =  118

Answer:

A) Quadrant I

(Both X and Y are positive)

B) Quadrant III

(Both X and Y are negative)

C) Quadrant IV

(X is positive and Y is negative)

D) Quadrant II

(X is negative and Y is positive)

To find the total distance, Divide distance already walked by percentage:

8 / 0.55 = 14.55 km

She already walked 8 so now subtract:

14.55 - 8 = 6.55 km left to walk

Answer:

6, 8, 10

Step-by-step explanation:

x y and z are three consecutive even numbers

it means that you can write y = x + 2

and z = y + 2 = x + 4

so

  [tex]y^2-2=2x+5z\\ <=> (x+2)^2-2=2x+5(x+4)\\<=>x^2+4x+4-2=2x+5x+20[/tex]

  [tex]<=> x^2+4x+2=7x+20\\<=>x^2+4x+2-7x-20=0\\<=>x^2-3x-18=0\\<=>(x+3)(x-6)=0<=>(x=-3\ or \ x=6)[/tex]

so the solutions are

x = 6

y = 8

x = 10

Answer:

6, 8, 10

Step-by-step explanation:

x, y, z

y=x+2, z= x+4

Solving the quadratic equation we get:

Answer:

Step-by-step explanation:

6 - 5y - 2y

= 6 - 7y

hope this helps

plz mark it as brainliest!!!!!!!

Answer:

[tex]5x+3y[/tex]

Step-by-step explanation:

[tex]6x-x+5y-2y[/tex]

The coefficient of -x is -1.

[tex]6x-1x+5y-2y[/tex]

Factor the variables.

[tex]x(6-1)+y(5-2)[/tex]

Subtract the numbers.

[tex]x(5)+y(3)[/tex]

[tex]5x+3y[/tex]

The answer is 5x+3y.

Answer:

x = 360° - 132° - 54° - 90°

x = 84°

Step-by-step explanation:

total degree of a cirlce is 360°

Answer:

[tex]84 \: \: degrees[/tex]

Step-by-step explanation:

[tex]90 + 132 + 54 + x = 360 \\ 276 + x = 360 \\ x = 360 - 276 \\ x = 84 \: \: degrees[/tex]

Answer:

The answers are below

Step-by-step explanation:

a)67.592

b)21.748

c)241.402

Answer:

Third option.

Step-by-step explanation:

The coordinates are (1, 3)

x = 1

y = 3

Put x as 1, the output should be 3.

g(1) = 3(1)²

g(1) = 3(1)

g(1) = 3

The transformation of a function may involve any change. The function of the g(x) can be written as 3x². The correct option is C.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Vertical shift

Stretching:

Given that f(x)=x², since the function g(x) is also similar to f(x), therefore, both the function are quadratic functions.

Since f(x) is streched vertically to form g(x), therefore, the function g(x) in terms of f(x) can be written as,

g(x) = k × f(x)

y = k × x²

Also, it is passing through the point (1,3), therefore, we can write,

3 = k × (1)²

3 = k

Thus, the function of the g(x) can be written as 3x².

Hence, the correct option is C.

Learn more about Transforming functions:

https://brainly.com/question/17006186

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[tex]answer \\ = 78.57 \: {units}^{2} \\ solution \\ radius = 5 \\ area = \pi {r}^{2} \\ \: \: \: \: \: \: \: \: = \frac{22}{7} \times {5}^{2} \\ \: \: \: \: \: \: \: \: = \frac{22}{7} \times 25 \\ \: \: \: \: \: \: \: = 78.57 \\ hope \: it \: helps[/tex]

Answer: 25π

Explanation: To find the area of the circle, remember that the formula for the area of a circle is πr² where r represents the radius of the circle.

Since we're given that the radius of our circle is 5,

we have π(5)² or π(25) which is written as 25π.

So the area of the circle is 25π.

Answer:

y = 3

Step-by-step explanation:

y = - 2 is the equation of a horizontal line parallel to the x- axis.

A parallel line will also be a horizontal line with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (8, 3 ) with y- coordinate 3 , thus

y = 3 ← equation of parallel line

Analyzing the image and the given figure, this movement is:

[tex]\left[\begin{array}{c}6\\-5\end{array}\right][/tex]

This exercise is necessary to write the translation and rotation movement of the figure, this way this movement can be written in matrix form:

[tex]\left[\begin{array}{c}X\\Y\end{array}\right][/tex]

Where the X when positive represents movement to the right and when negative to the left. The Y represents when positive up and when negative down.

So the movement for figure A to be the same as for figure B is:

[tex]\left[\begin{array}{c}6\\-5\end{array}\right][/tex]

Learn more: brainly.com/question/17485121

Answer:

[tex]40[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the number.

[tex]\frac{1}{4} x+\frac{1}{5} x=18[/tex]

[tex]\frac{9}{20} x=18[/tex]

[tex]x=18 \times \frac{20}{9}[/tex]

[tex]x=40[/tex]

If one fourth of a number is added to one fifth of the same number, and the result is 18, then the number = 40

Let the given number be represented by x

One-fourth of the number = x/4

One-fifth of the same number = x/5

One-fourth of the number is added to one fifth of the same number =

x/4  +  x/5  

The result is 18

This can be represented mathematically as:

x/4  +  x/5     =  18

Simplifying the equation above

(5x + 4x)/20  =  18

Cross multiply

5x +  4x  =  18(20)

9x  =  360

x   =  360/9

x   =  40

The number = 40

Learn more on word problem here: https://brainly.com/question/21405634

Answer:

(8, 8200)

Step-by-step explanation:

It looks like you got it right, the point (8, 8200) is that of a collectors item car, that has not changed much its original price of about £10,000 (at year zero), having a value of £8,200  8 years later.

Answer:

3

Step-by-step explanation:

Given

f(x) = [tex]\sqrt{(x-3)}[/tex] , then

f(12) = [tex]\sqrt{12-3}[/tex] = [tex]\sqrt{9}[/tex] = ± 3

There are 2 values 3 and - 3

The positive value of f(12) is + 3

Answer:

Your answer is -3

Step-by-step explanation:

I had this on a test and i got it

plz mark brainliest

Answer:

-3

Step-by-step explanation:

I got it correct on edge 2020.

Answer: 137 degrees

Step-by-step explanation:

It's in the sentences, the angle is 137 degrees

Answer: See below

Step-by-step explanation:

The Pythagorean Theorem is a²+b²=c². Since each problem gives us the length of a, b, or c, we can directly plug them into this equation and solve.

Triangle EFG

9²+b²=41²

81+b²=1681

b²=1600

b=√1600

b=40

----------------------------------------------------------------------

Triangle PQR

20²+21²=c²

400+441=c²

c²=841

c=√841

c=29

----------------------------------------------------------------------

Triangle XYZ

a²+24²=25²

a²+576=625

a²=49

a=√49

a=7

Answer:

D

Step-by-step explanation:

When we divide the entire equation by -1/2 to get rid of the coefficient of n we get n = 16.

Answer:

D.) 16

Step-by-step explanation:

Solve for n:

-n/2 = -8

Multiply both sides of -n/2 = -8 by -2:

(-2 (-n))/2 = -2 (-8)

-2×(-1)/2 = (-2 (-1))/2:

(-2 (-1))/2 n = -2 (-8)

(-2)/2 = (2 (-1))/2 = -1:

--1 n = -2 (-8)

(-1)^2 = 1:

n = -2 (-8)

-2 (-8) = 16:

Answer: n = 16

Answer:

5 hours and 50mins

Step-by-step explanation:

8:35 am + 25mins= 9:00am 9:00am+5hours=3:00pm+25mins=3:12pm 25mins+5hours+25mins=5hours and 50 mins

Hope this helps :)

Answer:

Solution,

Total area=Area of ABCD+ Area of triangle ADE

[tex](ab \times bc) + \frac{1}{2} \times ad \times ef \\ = (5 \times 6) + \frac{1}{2} \times 6 \times 3 \\ = 30 + 9 \\ = 39 \: {units}^{2} [/tex]

hope this helps...

Good luck on your assignment...

Answer:

[tex]n=0.5[/tex]

Step-by-step explanation:

n : 1

6 : 12

That means n is 0.5. Since 12÷12=1, then 6÷12=n which means n=0.5 since 6÷12=0.5.

Answer: 1. 200, 2. 300

Step-by-step explanation:

40 * 10/2 = 400/2 = 200

or this way:

40 = 20%

40/2 = 20

20 = 10%

20 * 10 = 200

——————————————

90 * 10/3 = 900/3 = 300

or this way:

90 = 30%

90/3 = 30

30 = 10%

30 * 10 = 300

Answer:

1. 200

2. 300

Step-by-step explanation:

1.

20% = 20/100 = 0.2

20% OF ____= 40

0.2 * x = 40

x = 40/0.2 = 20

2.

30% = 30/100 = 0.3

30% OF ____=90

0.3 * x = 90

x = 90/0.3 = 300

Answer:

x and y = 66.5

Step-by-step explanation:

180-47=133

133/2=66.5

Answer:

-117

Step-by-step explanation:

f(-10)=-(-10)^2+3(-10)+13

f(-10)=-117

Answer:

y=6

Step-by-step explanation:

Standard form: Ax+Bx=C

0x+y=6

y=6

Answer:

B

Step-by-step explanation:

4.5 x 6 = 27

4.5 x 8 = 36

27 x 2 = 54

36 x 2 = 72

54 + 72 = 126cm Perimeter/

27 x 36 = 972 cm2 Area/

Answer:

[tex]\text{Average Weight}=\frac{1}{8}\sum\limits^{8}_{i=1}{X_{i}}[/tex]

Step-by-step explanation:

The average value of a data set is the representation of the central tendency of the data set, i.e. the average of a set is the measure of center.

The formula to compute the average of a data set is:

[tex]\text{Average}=\frac{1}{N}\sum\limits^{N}_{i=1}{X_{i}}[/tex]

Here,

N = number of observation in the data set

[tex]\sum\limits^{N}_{i=1}{X_{i}}[/tex] = sum of all the observations

It is provided that the line plot shows the weights of the 8 kittens at 3 weeks old.

So, there are a total of N = 8 kittens.

The formula to compute the average weight is:

[tex]\text{Average Weight}=\frac{1}{8}\sum\limits^{8}_{i=1}{X_{i}}[/tex]

Answer:

This is true! 1x=1

Step-by-step explanation:

So let's rewrite the question again.

-5(x - 1) = 2x - 7x + 5

So we will solve from left to right.

-5(x-1) <- In here, we cannot add a variable to a whole number. So, we simply multiply -5 by x and -1.

-5(x - 1) = -5x+5

2x - 7x + 5 <- Here, we can subtract 2x-7x. They are both variables. But, we cannot add 5 to a variable.

2x - 7x + 5 = -5x+5

Now, here is the equation that we have so far.

-5x+5 = -5x+5

+5x        +5x

----------------------

5=5

-5 -5

0=0

So in here, we can have anything. 1, 2, 3, 4, 5, 6, 100, anything. So, the answer is:

All Real Numbers

Answer:

  D.  66 degrees Fahrenheit

Step-by-step explanation:

6 hours after 6 p.m. the temperature will have dropped 6×4 °F = 24 °F. When it drops that amount from 90 °F, it will be ...

  90 °F -24 °F = 66 °F . . . . temperature at midnight

Answer:

sinP = 7/25

cosQ = 7/25

tanP = 7/24

cotQ = 7/24

secP = 25/7

cscQ = 25/24

Step-by-step explanation:

sin∅ is opposite over hypotenuse

cos∅ is adjacent over hypotenuse

tan∅ is opposite over adjacent or sin∅/cos∅

csc∅ is hypotenuse over opposite or 1/sin∅

sec∅ is hypotenuse over adjacent or 1/cos∅

cot∅ is adjacent over opposite or cos∅/sin∅

Since triangle RQP is a right triangle, we can use trig and Pythagorean Theorem: a² + b² = c²

The missing side length RQ after we use Pythagorean Theorem would be 7.

From there, we can find the trigonometric values.

Answer:

Step-by-step explanation: