How many 3-digit multiples of 13 are there?

Answers

Answer 1
Answer:

Answer:

There are 69

Step-by-step explanation:

1+(104-998)/13=69


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Determine whether the ratios 9/15 and 6/10 form a proportion.
Write each pair of fractions as a pair of fractions with a common denominator 3/4 and 7/8
2x 6=28 Write the Value of x
Tina is fixing to get rectangular signs he wants to space metal trim around the side and just the rectangle measures 32 inches by 9 inches how much trim will Tina need

Keyanna saved $75 this summer by babysitting. After school, she makes $10 a week babysitting. a) Write an equation for the amount, A, of money that she will have after w weeks.
b) How much will she have after 5 weeks?
c) How many weeks until she has $255?

Answers

Given:
Savings : $75
Babysitting earnings : $10 a week.

a) A = $75 + $10w

b) A = $75 + $10 * 5 weeks
    A = $75 + $50 
    A = $125

c) A = $75 + $10w
  $255 = $75 + $10w
  $255 - $75 = $10w
  $180 = $10w 
  $180/$10 = w
   18 = w
Keyanna needs to babysit for 18 weeks.

Jackie sold 48 pints of lemonade at her stand. How many quarts of lemonade did she sell? (1 quart = 2 pints)

Answers

Since 1qt is equal to 2 pints, and Jackie sold 48 pints, she sold 24 quarts.
OK.  Since One quart= 2 pints,  divide the number of pints (48) by 2.
48/2=24
24 is the answer for the number of quarts.

A large chocolate bar has a base area of 47.1 square feet and it’s length is 0.7 feet longer than twice it’s width. Find the length and the width of the bar

Answers

Answer:

The dimensions of the bar are width = 4.68099 feet and length = 10.06198 feet

Step-by-step explanation:

A chocolate bar has a rectangular shape, therefore it's area is given by the following formula:

area = width*length

In this case the length is 0.7 feet longer than twice the width, therefore:

length = 2*width + 0.7

Applying the second equation on the first one and using the data from the question we have:

47.1 = width*(2*width + 0.7)

47.1 = 2*width² + 0.7*width

2*width² + 0.7*width = 47.1

width² + 0.35*width = 23.55

width = (-0.35 \pm √(0.35^2 -4*1*(-23.55)))/(2*1) = -0.175 \pm 4,85599

width = 4.68099 or width = -5.03099

Since the width can't be negative, it can only be 4.68099 feet.

length = 2*4.68099 + 0.7 = 10.06198 feet.

X squared minus 18x minus 144 equals 0. Solve by factoring.

Answers

x^2 - 18x - 144 = 0

Factorise:

We choose 2 numbers that add to -18, and multiply to 144, these numbers are  +6 and -24, we put it into the brackets:

(x + 6)(x - 24)   <- x = the interted sign of the numbers inside the brackets

E.g. +6 turns into -6 and -24 turns into +24

x must = -6 or = +24
Answer got deleted because I have to explain it better, which I will kindly do.
(x^2 - 18x - 144) = 0
What two factors add up to equal -18 AND multiply to equal -144?
For a product to be a negative, one of the factors have to be a positive, and the other has to be a negative (positive times a negative equals a negative). 
And now that we know that, we know that the negative number has to be larger than the positive because of the -18. 
What two factors add up to equal -18 AND multiply to equal -144?
Negative 24 and positive 6.
(x - 24)(x + 6)

chris and lisa went shopping and spent a total of $25.50. lisa spent $13.50 more than what chris spent. How much did Lisa spend

Answers

$25.50-$12.00=$13.50 

Lisa spent $13.50
Lisa spent 13.50 all together

Whats 20 +15(72-13)-67+6

Answers

Order of operations.

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

We must do parenthesis first.

72 - 13 = 59

We have now
20 + 15(59) - 67 + 6
20 + 885 - 67 + 6
905 - 67 + 6
905 - 61
844

Hope this helped! If you have any questions then leave a comment.

Good morning

20+15(72-13)-67+6

= 20+15(59)-67+6

= 20+885-67+6

= 905-67+6

= 838+6

= 844


I hope that's help !


Happy Sunday :)