Katrina and Amanda are studying the same class. On Monday, Katrina solved 35 math problems and Amanda solved 21 math problems. On Wednesday Katrina solved 16 math problems and Amanda solved 20 math problems. On Thursday, Katrina solved 40 math problems and Amanda solved 24 math problems. On Saturday, Katrina solved 18 math problems and Amanda solved 24 math problems. On which day did Katrina and Amanda have the same ratio of problems as Monday?

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

Saturday

Answer 2
Answer:

Answer:Monday

Step-by-step explanation:..........


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What is the first 5 common multiples of 15 and 25

Answers

You can first find the missing factors of each number to find the lcm
So 15 = 5*3 and 25 = 5*5
In order to make them equal, Multiply 15 by 5 and 25 by 3 so that both of them are 5*3*5 which equals 75.
After that you can just multiply each by 2, 3, 4, and 5 because all the other common multiples are multiples of 75. You get
150, 225, 300, 375, as well as 75
So:
75
150
225
300
375
15 = 15,30,45,60,75,90,105,120,135,150,165,180,195,210,225,240, 255, 270,285,300,315,330,345,360,375
25 = 25,50,75,100,125,150,175,200,225,250,275,300,325,350,375

The first 5 common multiples of 15 and 25 are 75, 150, 225, 300, and 375.

If a rectangle measures 54 meters by 72 meters, what is the length, in meters, of the diagonal of the rectangle?Can someone explain this one?

Answers

Use the Pythagoras therom.
let the diagonal be x
⇒54²+72²=x²
⇒8100=x²
x=90meters
let the diagonal be a.
now, as we know that each angle in a rectangle is right angle.
thus we have a right angled triangle.
now, we can apply pythagoras theorum.
a^2 = 54^2 + 72^2
= 2916 + 5184
=8100
thus, a^2 = 8100
thus, a = 90.
Thus the diagonal is 90metres.

By how many grams is 1.3kg heavier than 700g

Answers

in grams, 1.3kg is 1300 g so 1300 - 700 = 600g
1300-700=600 therefore is is really 600 grams more.

the answer is 600 grams.
i hope that this helps you.

What is 7.87 rounded to the nearest tenth

Answers

It would be 7.9 because 7 is above 5 and therefore rounds up

Find y when x=21/2, if y varies inversely as x and x=5 when y=3A. 2.5/3=3/4;6
B. 2.5/3=3/4;3
C. 2.5/3=5/3;6
D. 2.5/3=5/4;3

Answers

y varies inversely as x:
y=C/x
C: Constant

Cross multiplication
yx=C

x=5 when y=3
Replacing in the equation above:
(3)(5)=C

when x=2 1/2=2+0.5→x=2.5, y=?
xy=C
(2.5)(y)=C

Equaling the two equations:
C=C
(2.5)(y)=(3)(5)
2.5/3=5/y

Solving for y. Dividing both sides of the equation by 2.5:
(2.5)(y)/(2.5)=(3)(5)/(2.5)
y=6

Answer:
2.5/3=5/6

Line A: x + y = 2Line B: 2x + y = 4

Which statement is true about the solution to the set of equations? (5 points)


There are infinitely many solutions.
There are two solutions.
There is one solution.
There is no solution.

Answers

If you would like to know which statement is true about the solution to the set of equations, you can calculate this using the following steps:

x + y = 2 ... y = 2 - x
2x + y = 4
_________________
2x + (2 - x) = 4
2x - x = 4 - 2
x = 2

y = 2 - x = 2 - 2 = 0

(x, y) = (2, 0)

The correct result would be: There is one solution.