PLEASE HELP.
Directions: find x so that L || M. state the converse used

Answer:

400 bushels of the 15%

600 bushels of the 10%

Step-by-step explanation:

x bushels of the 15%  plus the balance of 1000 bushels at 10% yield 1000 bushels at 12%

15x + 10(1000 - x) = 12(1000)

distribute

15x + 10000 - 10x = 12000

Combine like terms

5x = 2000

Divide both sides by 5

x = 400 bushels of the 15%

1000 - x = 600 bushels of the 10%

The number of bushels of the 15% is 400, and the number of bushels of the 10% is 600.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A company blends 1000 bushels of two types of apples to make a beverage that contains 12% real-juice content.

Let x be the bushels.

One of the two types of an apple contains 10% real-juice content and the other contains 15% real juice content.

The linear equation can be framed:

15x + 10(1000 - x) = 12(1000)

By using the distributive property:

15x + 10000 - 10x = 12000

5x = 2000  (combine like terms)

x = 400 bushels of the 15%

= 1000 - x

= 1000 - 400

= 600 bushels of the 10%

Thus, the number of bushels of the 15% is 400, and the number of bushels of the 10% is 600.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Check the picture below.

Bearing in mind that the angle is not changing all the wihle, namely is constant

[tex]tan(32^o)=\cfrac{y}{x}\implies x = \cfrac{y}{tan(32^o)}\implies x = \cfrac{1}{tan(32^o)}y \\\\\\ \stackrel{\textit{taking the derivative on bot sides}}{\cfrac{dx}{dt}=\cfrac{1}{tan(32^o)}\cfrac{dy}{dt}}\implies \cfrac{dx}{dt}=\cfrac{1}{tan(32^o)}200\implies \cfrac{dx}{dt}\approx 320.07~\frac{km}{hr}[/tex]

Answer:

The factors of 26 are 1,2,13,26 The prime factors of 26 are 2 and 13.

Step-by-step explanation:

Answer:

2 and 13

Step-by-step explanation:

First, we can see that the last digit of

26

is even, and thus

26

is divisible by

2

. If we divide by

2

, we find

26

2

=

13

. As

13

is a prime number, there are no further prime factors of

26

, and so the prime factorization of

26

is

2

×

13

.

Answer:

B.

Step-by-step explanation:

When using the distributive property, you distribute the leading number to each number inside the parentheses.

Answer:

Option B is correct.

Step-by-step explanation:

The answer of Option B is correct. 58 × 5 = 290.

Therefore, Option B is correct.

Answer:

I don't understand

Step-by-step explanation:

Like How

Answer:

Step-by-step explanation:

g(x)=5|30x+4|

g(2/3)=5|30×2/3+4|

=5|20+4|

=5×24

=120

~fractions

= 2 ÷ 10

= B. 0,2 ✔️

the method is attached

~ nice to help you ^^

Answer:

Step-by-step explanation:

As the zeros are x = -2 and x = 2, the factors are (x + 2) and (x - 2)

y = C(x + 2)(x - 2) = C(x² - 4)

applying the y intercept of (0, 4)

4 = C(0² - 4)

C = -1

y = -1(x² - 4)

y = 4 - x²

Answer:

hi

Step-by-step explanation:

Answer:

option B is correct answer.

Step-by-step explanation:

(200-75)/2 = 62.5 miles per hour.

Answer:

0.5 ㏑ | 1-2x | +c

Step-by-step explanation:

Formula:  ∫ 1/ax+b dx = 1/a ln Iax+bI +c

Answer:

A is the answer.

Step-by-step explanation:

Look at the graph of graph A. It has given the correct distance between 2 and -5.

Hoped this helped.

Answer:

B.

Step-by-step explanation:

56 ÷14 =4

Step-by-step explanation:

dividing

56÷7=8

Answer:

sorry! unfortunately I don't know the answer

Step-by-step explanation:

Given the entry fee of $35, the additional hourly rate of $5, and the total cost of $60:

The independent variable in this given problem is the number of hours, while the dependent variable is the total cost.  

An easier way to understand these concepts is to realize that the total cost depends on the number of hours you spend at the Snow Play Ski Park. The total cost changes by $5 for every hour you spend at the park.

The $35 entry fee is the constant, or the y-intercept. It is the initial cost that you have to pay given the 0 number of hours spent at the park.

The function that represents the given situation is:

C(x) = 5x + 35

In order to determine how long can you be at the Snow Play Ski Park, substitute $60 as C(x) into the function:

C(x) = 5x + 35

60 = 5x + 35

Subtract 35 from both sides:

60 - 35 = 5x + 35 - 35

25 = 5x

Divide both sides by 5 to solve for x:

[tex]\frac{25}{5} = \frac{5x}{5}[/tex]

x = 5

Therefore, if you have $60, then you can be at the Snow Play Ski Park for up to 5 hours.  

Note:

Please feel free to change the letter that represents the function to f ( x ) for Part B, if needed.

Answer:

Step-by-step explanation:

C

Answer:

7/12 or 0.583333333333...

Step-by-step explanation:

calculator

I think the answer is 0.83, tell me is it correct ok, I try to help you

Answer:

4a^4-4b^4-5a^2b^2

Step-by-step explanation:

find common variables and subtract/add

a^4+3a^4=4a^4

-2b^4-2b^4=-4b^4

0-5a^2b^2=-5a^2b^2

apply

4a^4-4b^4-5a^2b^2

Answer:

letter A or B but I think it's letter b

Answer:

The answer is A

Step-by-step explanation:

on edge 2021

Answer:

(3x-9x)+12y-6y=21-15

-6x+6y=6.

I think that is the answer

Answer:

Step-by-step explanation:

Solve the system by elimination.

Divide the second equation by 3 and add to fist equation:

Find the value of x:

Answer:

She ate 5/12 of carrot hope it's help

Answer:

How can we answer it without question?

Answer:

41/100

Step-by-step explanation:

Any decimal to a fraction would have to have a extra digit than the numerator also it has to start with 1 and the rest having to be a certain amount of 0's, 0.41 as a fraction fraction would be 41/100

Answer:

$39.50 is the final payment.

Step-by-step explanation:

0.3 x 53.95 = 16.185

53.95 - 16.185

= 37.765

0.045 x 37.765 = 1.699425 + 37.765

= 39.464425 and round

Answer:

Hello

Step-by-step explanation:

Answer:

$13,509.

Step-by-step explanation:

After each year the vehicle is worth 95% of the previous value.

95% = 0.95.

So after 12 years the approximate value

= 25000 * 0.95^12

= $13,509.

Since you have the answers, I'll just show the steps on how to get there.

============================================================

Problem 19

[tex](1+4i)^2\\\\(1+4i)(1+4i)\\\\1*1 + 1*4i + 4i*1 + 4i*4i\\\\1 + 4i + 4i + 16i^2\\\\1 + 4i + 4i + 16(-1)\\\\1 + 4i + 4i-16\\\\(1-16) + (4i+4i)\\\\(1-16) + (4+4)i\\\\-15 + 8i\\\\[/tex]

Keep in mind that [tex]i = \sqrt{-1}[/tex] by definition. Squaring both sides leads to [tex]i^2 = -1[/tex]

In the second step, I used the idea that x^2 = x*x. Right after that, I used the FOIL rule to expand everything out.

============================================================

Problem 21

We could follow the same idea as problem 19, but I'll use a different approach.

[tex](A+B)^2 = A^2+2AB+B^2\\\\(3+i)^2 = 3^2 + 2*3*i + i^2\\\\(3+i)^2 = 9 + 6i - 1\\\\(3+i)^2 = 8 + 6i\\\\[/tex]

The formula on the first line is the perfect square binomial formula.

============================================================

Problem 23

The FOIL rule can be used if you want, but I'll use the difference of squares rule instead.

[tex](m+n)(m-n) = m^2 - n^2\\\\(3+5i)(3-5i) = (3)^2 - (5i)^2\\\\(3+5i)(3-5i) = 9 - 25i^2\\\\(3+5i)(3-5i) = 9 - 25(-1)\\\\(3+5i)(3-5i) = 9 + 25\\\\(3+5i)(3-5i) = 34\\\\[/tex]

It turns out that multiplying any complex number of the form a+bi with its conjugate a-bi will result in a purely real number (that has no imaginary part). More specifically: [tex](a+bi)(a-bi) = a^2+b^2[/tex]

============================================================

Problem 25

We could use the difference of squares rule again, but I'll show a different approach. This time using the distribution rule. The FOIL rule could also be used if you wanted.

[tex](6+7i)(6-7i)\\\\x(6-7i)\\\\6x-7xi\\\\6(x)-7i(x)\\\\6(6+7i)-7i(6+7i)\\\\6(6)+6(7i)-7i(6)-7i(7i)\\\\36+42i-42i-49i^2\\\\36-49(-1)\\\\36+49\\\\85\\\\[/tex]

I used x = 6+7i and the substitution property to help distribute. Lines 3 and 6 are where distribution is applied.

Answer:

  (-1, 4)

Step-by-step explanation:

Rotation 180° negates both coordinates:

  (x, y) ⇒ (-x, -y)

The direction (clockwise or counterclockwise) is irrelevant. It is the same as reflection across the center of rotation (the origin).

  (1, -4) ⇒ (-1, 4) . . . . after rotation 180°

Answer:

10km/h

Step-by-step explanation:

speed = distance/time

s = 150/5

s = 30km/h

the total must be 30km/hr

less the 20km/hr that Jerry is going

is the speed Susan must go in the opposite direction

30 - 20 = 10

10km/h