I need help 10-25 please help asap step by step

Answer:

Step-by-step explanation:

 a : b

 9 : 6

 2 : x

Cross multiply

6*2 = 9x

12 = 9x

12/9 = x

4/3 = x

The value of x in the angles is 17

The angles are given as

3x + 10 and 2x - 5

These angles are complementary angles

So, we have

3x + 10 + 2x - 5 = 90

Collect the like terms

So, we have

3x + 2x + 10 - 5 = 90

Evaluate the like terms

So, we have

5x = 85

Divide both sides by 5

x = 17

Hence, the value of x in the angles is 17

Read more about angles at

brainly.com/question/7620723

#SPJ1

Answer:

y = 4x + 5

Step-by-step explanation:

y = 4x + 5 is the only one that graphs a straight line

The total amount that Adele will have in her account at the end of the 3 years is $2,315.25.

Given that, principal=$2000, rate of interest=5% and time period=3 years.

The compound interest formula is used to calculate compound interest, sometimes known as "interest on interest". The formula for compound interest is [tex]A = P(1 + \frac{r}{100})^{nt}[/tex], where P= principal balance, r= interest rate, n= number of times interest is compounded per time period and t= number of time periods.

Now, A=2000(1+5/100)³

=2000(1+0.05)³

=2000(1.05)³

=$2,315.25

Therefore, the total amount that Adele will have in her account at the end of the 3 years is $2,315.25.

To learn more about compound interest visit:

https://brainly.com/question/14295570.

#SPJ4

(-23/20) in a decimal form long division will be equal to (-1.15)

As per the question statement, we are provided with a fraction: (-23/20).

We are required to calculate the simplest form of the fraction in decimals using to the long division method.

The long division method works with 4 component: dividend, divisor, quotient and remainder. And the steps to perform the long division method are as follows:

Step 1: To take the first digit of the dividend from the left and check if this digit is greater than or equal to the divisor.

Step 2: Then, to divide it by the divisor and write the answer on top as the quotient.

Step 3: To subtract the result from the digit and write the difference below.

Step 4: To bring down the next digit of the dividend (if present).

Step 5: To Repeat the same process.

Hence, converting the fraction (-23/20) to decimal values using the process of long division method mentioned above, we get (-1.15).

To learn more about Long Division method, click on the link below.

https://brainly.com/question/3935316

#SPJ9

Answer:

720

Step-by-step explanation:

4x180=720 u have to multiply because 4 miled in 180 days is the same as 4x180

The equation of the function g(x) is g(x) = -2|x - 2| + 5

The function f(x) is given as

f(x) = 2|x - 2| - 5

The rule of the transformation is a reflection across the x-axis

This is represented as

g(x) = -f(x)

So, we have

-f(x) = -2|x - 2| + 5

Substitute g(x) = -f(x) in -f(x) = -2|x - 2| + 5

g(x) = -2|x - 2| + 5

Hence, the equation of the function g(x) is g(x) = -2|x - 2| + 5

Read more about transformation at

https://brainly.com/question/4289712

#SPJ1

When the function changes from increasing to decreasing, a local maximum occurs. The value of a = 5e.

A local maximum point on a function is a point (x, y) on the function's graph whose y coordinate is greater than all other y coordinates on the graph at "close to" points (x, y).

When the function changes from increasing to decreasing, a local maximum occurs. This means that the function's derivative will shift from positive to negative.

Let the function be [tex]&F(x)=a x e^{b x} \\[/tex]

[tex]&F '(x)=d / d x\left(a x e^{b x} ) \\[/tex]

[tex]&=a(d / d x)\left(x e^{b x}) \\[/tex]

simplifying the above equation, we get

[tex]&=a\left[\left(d / d x* x\right) e^{b x} +\left(x* d / d x* e^{b x} )\right] \\[/tex]

[tex]&=a\left[e^{b x} +b x e^{b x} \right] \\[/tex]

[tex]$&=a[1+b x] e^{b x}[/tex]

For critical points, set [tex]$f^{\prime}(x)=0$[/tex] and solve for x

[tex]&a[1+b x] e^{b x} =0 \\[/tex]

simplifying the above equation, we get

1 + bx = 0

bx = -1

x = -1/b

The value of x = -1/b

Given that f(x) has local max at 1/5, critical point x = 1/5 then

-1/5 = -1/b

Therefore, b = -5

[tex]&F(x)=a x e^{-5x}\\[/tex]

[tex]&F(1 / 5)=a / 5 e^{-1}\\[/tex]

1 = a/5e

Therefore, the value of a = 5e.

To learn more about local maximum, refer to:

https://brainly.com/question/27887497

#SPJ4

The digits that make the given statement true are 3 or 7.

So, 5,156,9_6 to be divisible by 4:

Therefore, the digit that makes the given statement true is 3 or 7.

Know more about the rules of divisibility here:

https://brainly.com/question/9462805

#SPJ9

The correct question is given below:
Type a digit that makes this statement true.

5,156,9_6 is divisible by 4.

The point at which Leila should stop to take break is (6.25 , 3.75)

Given P(10 , 3) and R (0 , 4)

The ratio is 3:5

Let the break point be point B.

The formula is : (n(x₁) ₊ m(x₂)/ m₊n , n(y₁) ₊ m(y₂)/ m₊n)

P(10,3) = (x₁ , y₁)

R(0,4) = (x₂ , y₂)

m:n = 3:5

B = (5(10) ₊ 3(0)/3₊5 , 5(3) ₊ 3(4)/3₊5)

B = (50₊0/8 , 15₊12/8)

B = (50/8 , 27/8)

B = (6.25 , 3.75)

Hence Leila should stop at point (6.25 , 3.75) for her break.

Learn more about coordinate geometry here:

https://brainly.com/question/12959377

#SPJ9

Answer:

The inverse is [-4/3 -5/3 1]

[-4/3 -8/3 1]

[1/3 2/3 0]

Sorry, I didn't know how to type it well.

All real numbers x more than 2 units from 0 will be |x - 2| ≤ 0.

What does "real number" mean?

All real numbers x at most 2 units from 0

This means if x is centered at 2 then it can move at the max 2 units on either side (i.e. 4 units after 2 and 0 units before 2)

This will be |x - 2| ≤ 0

Learn more about real number

brainly.com/question/551408

#SPJ4

The equation that can be used to find the number of days is 32 - 3n = 11

The given parameters are

Initial amount = 32

Rate = 3 i.e. 3 children

Amount left = 11

Let the number of days be n

So, we have:

Initial amount - number of days * rate = amount left

This gives

32 - 3n = 11

Hence, the equation that can be used to find the number of days is 32 - 3n = 11

Read more about linear equations at:

https://brainly.com/question/1884491

#SPJ1

Answer:

5(3n - 4)(3n - 10)

Step-by-step explanation:

15n² - 110n + 200 ← factor out 5 from each term

= 5(3n² - 22n + 40) ← factor the quadratic

consider the factors of the product of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term.

product = 3 × 40 = 120 and sum = - 22

the factors are - 12 and - 10

use these factors to split the n- term

3n² - 12n - 10n + 40 ( factor the first/second and third/fourth terms )

3n(n - 4) - 10(n - 4) ← factor out (n - 4) from each term

(n - 4)(3n - 10)

then

15n² - 110n + 200 = 5(n - 4)(3n - 10)

Answer:

Hello,

Step-by-step explanation:

[tex]15n^2-110n+200=15(n^2-\dfrac{22}{3}x +\dfrac{40}{3} )\\[/tex]

1. I am thinking about 2 numbers with sum=22/3 and product=40/3.

Those numbers are 4 and 10/3 since 4*10/3=40/3 and 4+10/3=22/3

[tex]15(n^2-\dfrac{22}{3}x +\dfrac{40}{3} )=15(n-\dfrac{10}{3} )(n-4)=5*(3n-10)(n-4)[/tex]

2.

[tex]15(n^2-\dfrac{22}{3}x +\dfrac{40}{3} )=15(n^2-2*\dfrac{11}{3} x+(\dfrac{11}{3})^2 -\dfrac{121}{9} +\dfrac{120}{9})\\\\=15((n-\dfrac{11}{3})^2 -\dfrac{1}{9})\\\\=15( n-\dfrac{11}{3} -\dfrac{1}{3})*(n-\dfrac{11}{3} +\dfrac{1}{3})\\=15(n-\dfrac{10}{3})(n-4)\\\\=5(3n-10)(n-4)\\[/tex]

3.

Using discriminant ...

Answer:

We can see that after 2 years, enrollment becomes 35 instead of 15.

35/15=2.333...)

Since it's exponential, take sqrt(2.333...)=about 1.5

So the growth is 50%

In linear equation, y ≥ x + 12/3 is simple version .

What in mathematics is a linear equation?

y ≥ 1/3 x + 4

y ≥ x/3 + 4

y ≥ x + 12/3

Learn more about linear equation

brainly.com/question/11897796

#SPJ9

The ounces of onions is 5 ounces.

Let the onions be represented by x.

The recipe uses 4 times more carrots than onions. The carrots will be 4 × x = 4x.

Therefore, the equation will be:

4x + x = 25

5x = 25

Divide by 5

x = 25/5

x = 5

Therefore, the ounces of onions is 5 ounces.

Learn more about equations on:

brainly.com/question/13763238

#SPJ1

Answer:

Step-by-step explanation:

The ounces of onions is 5 ounces.

The recipe uses 4 times more carrots than onions. The carrots will be 4 × x = 4x.

Therefore, the equation will be:

4x + x = 25

5x = 25

Divide by 5

x = 25/5

x = 5

Therefore, the ounces of onions are 5 ounces.

Answer:

∠A

∠EAU

∠UAE

Step-by-step explanation:

You can name an angle by their middle vertex letter which, in this case, is A.

You can also name an angle using the three letters provided: E, A, U.

However, the vertex letter should always be in the middle. So, it could be ∠EAU and ∠UAE.

Let me know if you don't understand or need more explanation.

The quadratic equation is:

y = (x - 2)^2 - 3

So the correct option is A.

The graph clearly is the graph of a quadratic equation, there we can see that:

The y-intercept is y = 1.

The vertex is (2, -3)

Remember that if we know that a quadratic equation has a vertex (h, k), then the equation can be written as:

y = a*(x - h)^2 + k

In this case, the vertex is (2, -3), replacing that we get:

y = a*(x - 2)^2 - 3

Now, we can find the value of a, the leading coefficient, by using the fact that the y-intercept is y = 1, evaluating in zero we should get:

1 = a*(0 - 2)^2 - 3

1 = a*4 - 3

1 + 3 = a*4

4/4 = a = 1

Then we conclude that the quadratic equation is:

y = (x - 2)^2 - 3

So the correct option is A.

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

Answer:

[tex]30 \div 5[/tex]

Way A

• 5 divided by 0 is 0.

• 5 divided by 3 is 0.6, flip the number, and you get 6.

Way B

• Divide 30 by 5 to get 6.

Answer:

There is not a single ordered pair which is a solution to y=2x−4 .

The perimeter of the triangle in discuss expressed in terms of the length of the base as required in the task content is; Perimeter= 5x.

According to the task content, it follows that the perimeter of the triangle in terms of the length of the base is to be determined.

Let x = length of the base

Therefore, length of each leg = 2x.

Therefore, since the perimeter of the triangle is the sum of all sides; it follows that we have;

Perimeter = x + 2x +2x

Perimeter = 5x.

Read more on perimeter of a triangle;

https://brainly.com/question/28152510

#SPJ1

Answer: The value of  X = 50°

Step-by-step explanation:

from diagram:

40° = 40°(vertically opposite angles)

40° + 90° + opposite side of X = 180 °(exterior angle property)

130° + opposite side of X = 180°(linear pair property)

opposite side of X = 180° - 130°

= 50°

Learn more about angles and property of triangle here https://brainly.com/question/28514981

#SPJ9

5% of votes were for Tom: 27

2/9 of the votes were for Rebecca: 114

213 votes are for Wendy

Answer:

3rd and 4th

Step-by-step explanation:

Answer:

∠C and ∠DCB and ∠BCD

Step-by-step explanation:

We can name an angle either using one letter that represents it or use all three letters together.

When we use a single letter to represent or point an angle we must choose the center letter, C in this case.

And when we use all three letter to point an angle we must place the center letter, again C in this case, in the middle

Therefore the angle can be named as

∠C or ∠DCB or ∠BCD

R, S, and T are collinear . Then 13 is  the length of RS.

What do collinear points mean?

The question to know

RS + ST = RT

RS = w + 1 ,  ST = w - 1

RT = 18

2w + 1 + w - 1  = 18

3w = 18

w = 18/3

w = 6

RS = 2 * 6 + 1 = 13

Learn more about  collinear points

brainly.com/question/1593959

#SPJ9

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))

Given the function

f(x)= 5-3x/2 and

g(x)= 5-2x/3

f(g(x)) = f(5-2x/3)

Substitute

f(g(x)) = 5-3(5-2x)/3)/2

f(g(x)) = (5-5+2x)/2

f(g(x)) = 2x/2

f(g(x)) = x

Similarly

g(f(x)) = 5-2(5-3x/2)/3

g(f(x)) = 5-5+3x/3

g(f(x)) = 3x/3

g(f(x)) =x

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

Learn more on inverse of a function here: https://brainly.com/question/19859934

#SPJ1

The set of points (A) P, T, and Y are collinear.

In response to the question -

Therefore, the set of points (A) P, T, and Y are collinear.

Know more about collinear points here:

https://brainly.com/question/24391959

#SPJ4

The correct question is given below:
Which set of points is collinear?

(A) P, T, Y

(B) D, S, Y

(C) H, T, S

(D) Y, D, H