MATHEMATICS MIDDLE SCHOOL

Maria walked 3 km west and 4 km south calculate how far she is from her starting point.

Answers

Answer 1

Answer:

Answer:

5 km

Step-by-step explanation:

We are given the distances walked by Maria;

3 km west and 4 km south

We are required to determine the displacement from her starting point;

We are going to use Pythagoras's theorem;

a² + b² = c²

Taking, the distances towards south and towards west as the legs of the triangle;

Then, c² = 3² + 4²

= 25

c = √25

= 5 km

Therefore, the displacement from the starting point is 5 km

Answer 2

Answer:

Answer:

Step-by-step explanation:

5km

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Carmen borrowed money from her sister. Each month she makes four payments , with an average payment of no more than $ 200 . This month she has already paid her sister $ 225 , $245 , and $ 235 What is the maximum amount she can pay for the fourth payment ?

Answers

Answer:

$95

Step-by-step explanation:

We are told that Carmen makes a monthly payment of no more than 200 dollars. We then see her going above the 200 dollars so we look to the tens and ones place. We see that we now have 25, 45, and 35 dollars. Add them up and you get 105 dollars. 200-105=95 so your awnser is $95.

A 2 quart carton of chocolate milk costs $1.40.
What is the price per pint?

Answers

0.35 is the answer!!

Answer:

If i am correct 0.35 per pint.

Step-by-step explanation:

As there is 2 pints in a quart you multiply 2x2 ( the amount of quarts) to get 4. Then you divide the price of $1.40 by 4.

A pair of dice is rolled. What is the probability that a 3 shows up on the second one?

Answers

1/12 since most die are 6 sided the first dice does not matter to the 3 but must be included. so 2, 6 sided die are rolled and 6 +6 equals 12. the probability is 1/12

I need help on Q.19 please

Answers

This is simple.

= $3(3)/(5)$ ÷ $4(1)/(2)$
change the mixed fractions to improper ones.
$(18)/(5)$ ÷ $(9)/(2)$
Multiply $(18)/(5)$ by the reciprocal of $(9)/(2)$ which is $(2)/(9)$

= $(18)/(5)$ × $(2)/(9)$
= $(36)/(45)$

Since it can be simplified further, we get the answer
$(4)/(5)$

How?
There is a common multiple 9
$(36/9)/(45/9)$
= $(4)/(5)$
Answer= B. $(4)/(5)$

A principal of $4700 is invested at 8.25% interest compounded annually. How much will the investment be worth after 7 years?

Answers

Answer:

$7562.50

Step-by-step explanation:

4700 (1.0825)^7-1

A chemist has two acid solutions in stock: one is a 50% solution, and the other is a 80% solution. How much of each solution should be mixed to obtain 100 milliliters of a 68% solution?

Answers

Easy way, visual

50---68---80%
Difference 18 12
Invert order to give ratio of 50% and 80%
Ratio 12 18 = 2:3

So by simple proportion:
volume of 50% needed = 100*2/(2+3)=40 mL
volume of 80% needed = 100*3/(2+3)=60 mL

Algebra way
Let x=volume of 50% needed.
Then
0.50*x+0.80*(100-x) = 0.68(100)
Expand and solve for x
0.5x+80-0.8x = 68
0.8x-0.5x = 80-68
0.3x = 12
x=12/0.3 = 40 mL (volume of 50%)
100-x=100-40=60 mL (volume of 80%)

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Simplify six-hundred thirty over 10

What is the product of 3/5×4/9 written in simplest form? a.1/2 b.4/5 c.4/15 d.7/15

ASAP. need to figure this out.