MATHEMATICS HIGH SCHOOL

A grocer wants to make a 10-pound mixture of peanuts and cashews that he can sell for $4.75 per pound. If peanuts cost $4.00 per pound and cashews cost $6.50 per pound, how many pounds of cashews should he use?3

4

6

7

Answers

Answer 1
Answer: He needs 5 pounds of cashews
Answer 2
Answer:

Answer:

ZE ANSWER IS 3

Step-by-step explanation:

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Write an expression that matches the verbal expression: seven less than a number.

Answers

N-7 because when writing algebraic expressions you flip the order

Sarah wants to give the pizza delivery boy a 20 percent tip. If the pizza bill is $48.25, how much should she tip?

Answers

If Sarah orders a pizza worth of $48.25 and she wants to offer 20 percent of the bill, then she needs to calculate the 20 percent of the total bill. 20 percent of $48.25 = 9.65 That mean Sarah should give $9.65 tip to pizza delivery boy.

9.65 round it up to 10. the answers A.

6. The equation of line A is 3x + 6y - 1 = 0. Give the equation of a line that passes through thepoint (5,1) that is

/1 a. Perpendicular to line A

Answer:

/1 b. Parallel to line A

Answer:

Answers

Step 1: Convert to slope-intercept form to find the slope of the line.

This isn't necessary if you know all the shortcuts, it just makes your life a bit easier.

3x+6y-1=0\n6y=-3x+1\ny=-(3)/(6)x+(1)/(6)\n-(1)/(2)x+(1)/(6)

Now we want to find the equations for our new lines. It's easiest to do this in slope-intercept form, so let's start finding the slope and y-intercept.

So for the perpendicular line, the slope is going to flip and change signs, this is aka its opposite reciprocal.
And for the parallel line, it'll stay the same.

-(1)/(2) ⇒ (2)/(1)=2
-(1)/(2) ⇒ -(1)/(2)

As for the y-intercept, just apply that slope until you get a point where x=0.

(5, 1) with a rise of 2 and a run of 1...let's work backwards to (0, b)
(5, 1), (4, -1), (3, -3), (2, -5), (1, -7), (0, -9).

(5, 1) with a rise of -1 and a run of 2...let's work backwards to (0, b)
(5, 1), (3, 0), (1, -1)...gonna have to take half a step here...(0, -1.5).

Now let's construct our equations in slope-intercept form.

y = 2x-9\ny=-(1)/(2)x-(3)/(2)

And now it's time to convert to general form!

Make sure we have common denominators...check.

Multiply by the denominator...

y=2x-9\n2y=1x-3

...check.

Aaaand bring everything over!

\boxed{-2x+y-9=0}\n\boxed{-x+2y-3=0}

What is the simplified form of expression ? 5(14 - 2) to the 2nd power over 2

Answers

Answer:

The answer is 1728

Step-by-step explanation:

Given the expression 5(14 - 2) to the 2nd power over 2, this can be written mathematically as;

{5(14 - 2)}²/2

Step1: we will solve for the function in bracket to have;

{5(12)}²/2

Step 2: we will take the square of the values in bracket since they are both raise to power of 2 to have;

(5²×12²)/2

= 25×144/2

Step 3: simplify the resulting equation to give;

= 24×72

=1728

The simplified form of the expression is 1728
5(14−2)^2/2
=5(12^2)/2=
(5)(144)/2
=720/2=
360

A 7/16-inch bolt is used in a machine. Whatis te length of the bolt written as a decimal

Answers

(7)/(16)= (7)/(16)* (625)/(625) = (4375)/(10000)=0.4375

The perimeter of a square garden is to be at least 22 feet but not more than 36 feet. Find all possible values for the length of its sides.

Answers

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