A local hamburger shop sold a combined total of 488 hamburgers and cheeseburgers on Friday. There were 62 fewer cheeseburgers sold than hamburgers. How
many hamburgers were sold on Friday?

Answers

Answer 1

9514 1404 393

Answer:

275

Step-by-step explanation:

Let h represent the number of hamburgers sold. Then the number of cheeseburgers sold is h-62, and the combined total is ...

hamburgers + cheeseburgers = combined total

h + (h -62) = 488

2h = 550 . . . . . . . . add 62, collect terms

h = 275 . . . . . . . . . .divide by 2

275 hamburgers were sold on Friday.

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what is the greatest common factor between 20 and 25

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One angle is five degrees less than three times the degree measure of another angle. Together, the angles measures have a sum of 143°. What is the measure of each angle?

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Which of the following shapes are congruent?

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2nd option.............................................

Factorise the expression 6x^2-13x+6 and hence solve the equation 6x^2-13x+6=0

Answers

Answer:

Part A

The factored form of the expression, 6·x² - 13·x + 6 is (2·x - 3) × (3·x - 2)

Part B

The solution of the equation 6·x² - 13·x + 6 = 0 are x = 3/2 or x = 2/3

Step-by-step explanation:

Part A

The given expression to factorize is 6·x² - 13·x + 6, which can be written as follows;

6·x² - 13·x + 6 = 6·x² - 4·x - 9·x + 6

The 13·x is split at - 4·x - 9·x

6·x² - 4·x - 9·x + 6

2·x·(3·x -2) - 3·(3·x - 2)

Bringing out the common factor (3·x - 2) gives;

(2·x - 3) × (3·x - 2)

Therefore, the expression 6·x² - 13·x + 6 in factored form is (2·x - 3) × (3·x - 2)

Part B

Solving the equation, 6·x² - 13·x + 6 = 0, therefore gives;

6·x² - 13·x + 6 = (2·x - 3) × (3·x - 2) = 0

Therefore, either (2·x - 3) = 0 and x = 3/2 or (3·x - 2) = 0 and x = 2/3

From which we have 6·x² - 13·x + 6 = 0 when x = 3/2 or 2/3 and x = 3/2 or x = 2/3 are the solution of the equation 6·x² - 13·x + 6 = 0.

Chase wants to earn at least $900 this month in commission. What is the minimum amount he needs to sell in order to earn $900 if he earns a 3.3% commission on everything he sells? Round to the nearest dollar.

Answers

Answer:

$27,272.73= sales

Step-by-step explanation:

Giving the following information:

Desired commission= $900

Commission rate= 3.3% = 0.033 of sales

To calculate the sales required, we need to use the following formula:

Commission= sales*commission rate

900= sales*0.033

900/0.033= sales

$27,272.73= sales

Answer: $27,273

Step-by-step explanation: 900a=3.3100 Write the proportion. Let a represent the amount he needs to sell.

900a=3.3100 Because 3.3×272.72=900 , multiply 100 by 272.72 to find a.

90027.271=3.3100 100 × 272.72 ≈ 27,273, so a = 27,273.

Chase needs to sell $27,273 to earn $900 in commission.

Write 12 1/3 as an improper fraction.

Answers

Answer: 37/3

Step-by-step explanation:

12 1/3 = 12*3+1/3 = 37/3

Answer:

[tex]\frac{37}{3}[/tex]

Step-by-step explanation:

[tex]12\frac{1}{3}[/tex]

When converting mixed numbers (such as the one above), to improper fractions, we must first multiply the whole number by the denominator:

[tex]12*3=36[/tex]

Then, add the numerator the the product:

[tex]36+1=37[/tex]

Now, put the sum over the denominator to get your solution:

[tex]\frac{37}{3}[/tex]

To check your work, you can convert the improper fraction to a mixed number to make sure you will end up with [tex]12\frac{1}{3}[/tex].

Divide [tex]37[/tex] into [tex]3[/tex]:

[tex]12[/tex] with a remainder of [tex]1[/tex]

Put the remainder over the denominator:

[tex]12\frac{1}{3}[/tex]

Therefore, our solution is correct!

How many tables that seat eight are required to provide places for 62 people at a banquet

Answers

Answer:

Step-by-step explanation:

62 divided by 8 is 7.75

you can't cut people so round it up and you get 8

B
1
N
4
5
5
(4x+6)
(5x -5)
7
00
0
A
С
(3x + 8)
The value of x is
and the length of the base is

Answers

Answer:

(4x+6)

(5x -5)

(3x + 8)

The value of x is