Can I get some help on these two

9514 1404 393

Answer:

  3. $6000 at 8%; $5000 at 5%

  4. 66 2/3 gallons of 9%; 133 1/3 gallons of 6%

Step-by-step explanation:

For many mixture problems, it works well to let a variable represent the amount of the largest contributor used in the mix.

3. Let x represent the amount invested at 8%. Then the total interest is ...

  8%x +5%(11000-x) = 730

  3%x = 730 -550

  x = 180/0.03 = 6000

$6000 was invested at 8%; $5000 was invested at 5%.

__

4. Let x represent the number of gallons of 9% content. Then the alcohol content of the mix is ...

  9%x +6%(200 -x) = 7%(200)

  3%x = 1%(200) . . . . . subtract 6%(200)

  x = 200/3 = 66 2/3 . . . . . divide by 3%

  200 -x = 133 1/3

66 2/3 gallons of 9% wine and 133 1/3 gallons of 6% wine should be used.

Answer:

i

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

26/52 simplifies to 1/2

Answer:

here

Area = 170.2 M2

Area of rectangle = l *b

let l= 3.7m

170.2 = 3.7* b

b= 46m

now , perimeter = 2(l+b)

= 2( 3.7 + 46)

= 99.4 m

Answer:

Step-by-step explanation:

Volume formula:

Q1

Q2

Answer: 2 grams

Step-by-step explanation:

Answer:

ANSWER IN THE PHOTO: 2

Yes because 6x_____=42 hours

Answer:

Step-by-step explanation:

Rectangle

Answer:

Tropic Fresh Fruit Punch

Step-by-step explanation:

You have to find how many cups of concentrate both brands use per cup of water. To do that, you divide the cups of concentrate by the cups of water.

Tropic Fresh Fruit Punch - 22/10=2.2

Merry Berry Fruit Punch - 13/6=2.17 (rounded to the nearest hundredth)

Since 2.2 is bigger than 2.17, Tropic Fresh Fruit Punch has the more fruitier concentration of punch.

Answer:

-2 -1 0 1 are the only integer solutions

Answer:

{-2, - 1, 0, 1}

Step-by-step explanation:

The integer solutions will be {-2, - 1, 0, 1}

Answer:  While I am not in your class and can not unfortunately specifically help with this I can still give you a basic overview of what you need to know in most pre algebra courses and you can hopefully then use this information in the best way possible.

Step-by-step explanation:  Some of the basic pre algebra concepts include:

Knowing your basic addition, subtraction, multiplication, and division.  I am assuming you know how to do this sort of math.  For example, I mean problems such as 5+4 or 10/5, but if you do need help with these just ask me and I can help you further.

Basic variable usage:  This means being able to solve problems such as x + 10 = 15.  I can help walk you through this sort of problem.  The variable (which is usually represented by the letter x) is used as a placeholder for an unknown number that you need to solve for.  You can think of this more simply in the example I gave as What plus 10 is equal to 15.  That might help you get the basics down if you can think of a problem that way.  As you can probably tell now the answer would be 5.  There may be also more advanced problems regarding variables but not all pre algebra classes will include this material so if you need a review in this you can ask me as well.

Another basic concept is the concept of solving equations.  This can also mean using both addition and multiplication within one equation or things of that nature.  These equations can look something like 18 - (5 + 3^2) + 7 and I can help walk you through a problem like this.  An important fact to remember is the order of operations, which is the way in which you must solve more complex equations like this or if you need to think of it another way it can mean the way you break down an equation.  You probably have heard of PEMDAS before and this is the way you can remember the order of operations.  It is an acronym with each of the letters representing an operation.  P = parenthesis E = exponents M = Multiplication D = division A = addition and S = subtraction.  Now we can use this to solve the equation!  First we should start within the parenthesis so lets only look at that portion of the problem for now to keep things simpler.  Inside the parenthesis it said 5 + 3^2  We see addition and exponents within the parenthesis so because of PEMDAS we should start with the exponent.  Exponents just mean the amount of times you need to multiply the base number by itself.  The base number is the number the exponent is "attached" to.  Our base number is 3 and the exponent is 2 which means we should do the following math 3 * 3 which equals 9  Now we can go back to our original problem inside the parenthesis.  In place of the 3^2 we can instead put 9 now as we know its the answer for that part of the problem.  What we have now is 5 + 9  and we can simply add that to get 14.  This means inside the parenthesis we can replace with just the number 14 as we have already solved everything we need for it.  The equation now looks like --> 18 - (14) + 7.  Now what we have left is addition and subtraction.  Remember on PEMDAS how multiplication and division were next to each other along with addition and subtraction?  For these 4 just because they are next to each other does not dictate the other rather when you are dealing with either just multiplication and division in a problem you work left to right and the same goes for addition and subtraction and since our resulting problem only has addition and subtraction left we will simply just work from the left of the equation to the right.  Our problem as of now is 18 - (14) + 7.  18 - 14 = 4 so we can now have the equation be 4 + 7 and after adding we get our answer which is 11!  I hope you were able to follow along with that and my explanations were satisfactory.

Hopefully at least some of this included in your module 4 but if you would elaborate more I would more than happily assist you more so please do not hesitate to reach out :)

Edit for extra information:

https://rb.gy/qslgfv

If you have anymore questions regarding this information if you would still like me to go over equations with inequalities just let me know!

9 apples per basket

Peter is making 8 identical fruit baskets. If the baskets are identical, that means they all have the same amount of fruit in them. If I know how many apples were used, then I can divide that by the total number of baskets (8) to find out how many apples were used per basket.

12 oranges were used per basket. There were 8 baskets. 12 x 8 = 96, so 96 oranges were used in total.

168 - 96 = 72

There were 72 apples used in total.

There were the same amount of apples in each of the 8 fruit baskets. 72/8 = 9, which means that there were 9 apples per fruit basket.

Answer:

13<x<14

Step-by-step explanation:

try using your calculator using square root

i mean square root 169=13 and square root 196=14

Answer:

y=120

Step-by-step explanation:

y=0.75x-0.15x

x=200

y=0.75x200-0.15x200

y=150-30

y=120

I hope this helps :D

Answer:

24

Step-by-step explanation:

9514 1404 393

Answer:

  A) The angles marked ∠7 and ∠8 are vertical angles.

  B) The angles marked with expressions in y are also vertical angles, so those expressions are equal to each other. Stating this in equation form gives an equation that can be solved for y.

  C) y = 24; ∠7 = ∠8 = 89°

Step-by-step explanation:

A) The angles marked ∠7 and ∠8 are vertical angles, comprised of opposite rays and having a common vertex.

__

B) The angles marked with expressions in y are also vertical angles. Vertical angles are congruent, so those expressions are equal to each other. Stating this in equation form gives an equation that can be solved for y.

__

C) (5y-29)° = (3y+19)°

  2y = 48 . . . . . . . . . . . . divide by °, add 29-3y

  y = 24 . . . . . . . . . divide by 2

Angles 7 and 8 are supplementary to the angles marked with expressions in y.

  ∠7 = ∠8 = 180° -(5y -29)° = 209° -5(24)°

  ∠7 = ∠8 = 89°

Answer:

x=5 and y=9

Step-by-step explanation:

Sub 1 into 2

2x-1 - x = 4

x= 4+1

x= 5

y= 2(5)-1

y= 10-1

y= 9

Complete Question:

Lucas is planting grass on the shaded portions of the yard. What will be the total area of covered by grass? Fill in the missing.

Part A= 12 x ? = ? ft²

Part B= 0.5 x ? x 9 = ?ft²

Part C= 0.5 x 7 x ? = ?ft²

Total Area= ?ft²

Answer:

[tex]A = 108ft^2[/tex]

[tex]B = 27ft^2[/tex]

[tex]C = 24.5ft^2[/tex]

[tex]Area = 159.50ft^2[/tex]

Step-by-step explanation:

Given

See attachment

From the attachment;

Part A is a rectangle with dimension 9ft by 12ft

So,

[tex]A = 12ft * 9ft[/tex]

[tex]A = 108ft^2[/tex]

Part B is a triangle with dimension: height = 6 and base = 9

The height is calculated as:

[tex]Height = 12ft - 6ft = 6ft[/tex]

And the base is:

[tex]Base = 18ft - 9ft = 9ft[/tex]

So, the area is:

[tex]B = 0.5 * 6ft * 9ft[/tex]

[tex]B = 27ft^2[/tex]

Part C is a triangle with dimension: height = 7 and base = 7

So, the area is:

[tex]C = 0.5 * 7 * 7ft^2[/tex]

[tex]C = 24.5ft^2[/tex]

Total Area is:

[tex]Area = A + B + C[/tex]

[tex]Area = 108ft^2 + 27ft^2 + 24.5ft^2[/tex]

[tex]Area = 159.50ft^2[/tex]

Answer:

the lat one should be the right answer

Step-by-step explanation:

The equation that can be used to represent the situation will be:

Let the number of nickels be represented by n.

Let the number of dimes be represented by d

Therefore, since Fernando has 22 coins consisting of nickels and dimes in his pocket and the total value of the coins is $1.70.

The equation that can be used to represent the situation will be:

0.05n + 0.10d = 1.70

n + d = 22

Read related link on:

https://brainly.com/question/17360719

Answer:

200 X 300% =$600.00

Step-by-step explanation:

Answer:

BAF and FAD

Step-by-step explanation:

Answer:

the answer is 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

LJ/32=13/7 multiplying each side by 32

LJ=32(13)/7

LJ=416/7

LJ=59.4

Answer:

547

Step-by-step explanation:

To find the difference between the 2 numbers, subtract -340 from 207:

207 - (-340)

Subtracting a negative number will change to adding a positive number:

207 + 340

= 547

So, the distance is 547

Answer:true

Step-by-step explanation:

Answer:h

Step-by-step explanation:

F