What is 21/45 simplified?

Answers

Answer 1

Answer: 21÷3=7
45÷3=15
this means that 21/45 simplified is 7/15

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Proportional relationships! Need help on!

Marcus is selling lemonade and peanuts.Each cup of lemonade costs 0.75¢,and each bag of peanuts costs 0.35¢.On Saturday,Marcus sold 5 more cups of lemonade than bags of peanuts. He earned $7.05.How many cups of lemonade did Marcus sell on Saturday?

Answers

Marcus sold 8 cups of lemonade and 3 bags of peanuts. 0.75 times 8 equals $6.00. 0.35 times 3 equals $1.05. $6.00+ $1.05= $7.05. Your welcome

Answer:8 cups of lemonade

Step-by-step explanation:

I really need help!!!

Answers

#6. if we make x the number of friends then 6x is the cost of their tickets. ($6 a piece)

3 boxes of popcorn = 3($6) = $18
2 boxes of candy = 2($3.5) = $7
total for snacks = $25

6x + 25 <= 135

answer C.

#8. all angles add to 180 degree, solve for x.
45x = 180
x = 4

6 C is the correct answer

7
$(200)/(4) = 50$
the answer is 50 mph

8
$25x + 9x + 11x = 180 \n 45x = 180 \n x = (180)/(45) = 4$
x is 4

9 the answer is 676.53

The table shows the number of wins of each school baseball team over the last six years. Find the mean absolute deviation for each set of data. Round to the nearest hundredth if necessary. Then write a few sentences comparing their variation. Number of wins per season, Bears:7, 10, 13, 12, 9 Saints:12, 15, 10, 14, 13

Answers

Answer: Bears: 1.80 Saints: 1.40

Step-by-step explanation: Hope this helps!!

Draw a quadrilateral with 4 square corners and opposite sides the same length.What is the name of this quadrilateral?

Answers

that is a rectangle.

Rectangle.. It is! Well the question to the answer s a rectangle!

Please help!Which point is collinear with points B and C?

A.
(0, 0)

B.
(1, 1)

C.
(1, –5)

D.
(6, –8)

Answers

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Coordinates of B = (4,-3)

Coordinates of C = (-4,3)

We need to find the collinear point with B and C.

There is one method to find the collinear point i.e. Slope method.

Slope of BX = Slope of CX = $(y_2-y_1)/(x_2-x_1)$

Let Coordinates of X = (0,0)

So, Slope of BX is given by

$(0+3)/(0-4)=(3)/(-4)$

Slope of CX is given by

$(0-3)/(0+4)=(-3)/(4)$

So, Slope of BX = Slope of CX = $(-3)/(4)$

And we can see from the graph (0,0) is the collinear point with B and C too.

Hence, Option 'A' is correct.

Points are collinear if they lie on the same line.

First find the equation of the line that passes through the points B and C.
$B(4, -3) \nx_1=4 \n y_1=-3 \n \nC(-4,3) \nx_2=-4 \n y_2=3 \n \nm=(y_2-y_1)/(x_2-x_1)=(3-(-3))/(-4-4)=(3+3)/(-8)=(6)/(-8)=-(3)/(4) \n \ny=-(3)/(4)x+b \n(-4,3) \n3=-(3)/(4) * (-4)+b \n3=3+b \nb=0 \n \ny=-(3)/(4)x$

The points lie on the line y=(-3/4)x.
Now plug the coordinates of the given points into the equation and check if they satisfy the equation.

$(0,0) \nx=0 \n y=0 \n \Downarrow \n0 \stackrel{?}{=} -(3)/(4) * 0 \n0 \stackrel{?}{=} 0 \n0=0 \n\hbox{the point lies on the line} \n \n(1,1) \nx=1 \n y=1 \n \Downarrow \n1 \stackrel{?}{=} -(3)/(4) * 1 \n1 \stackrel{?}{=} -(3)/(4) \n1 \not= -(3)/(4) \n\hbox{the point doesn't lie on the line}$

$(1,-5) \nx=1 \n y=-5 \n \Downarrow \n -5 \stackrel{?}{=} -(3)/(4) * 1 \n-5 \stackrel{?}{=} -(3)/(4) \n-5 \not= -(3)/(4) \n\hbox{the point doesn't lie on the line} \n \n(6,-8) \nx=6 \n y=-8 \n \Downarrow \n-8 \stackrel{?}{=} -(3)/(4) * 6 \n-8 \stackrel{?}{=} -(9)/(2) \n-8 \not= -(9)/(2) \n\hbox{the point doesn't lie on the line}$

The answer is A.

There are 15 black mice in a cage. The ratio of all mice to black mice is 5:1. How many mice are in the cage?

Answers

From the ratio 5:1 we know that all mice is 5 times more than black.
Knowing that there are 15 black mice we can multily it by 5 to find the answer.
15*5=75- its the anser

Other Questions

Jacob wants to make a graph to show the relationship between temperatures in Fahrenheit and degrees Celsius. He plots the following points:(11, −11.7), (15, −9.4), (25, −3.9), (35, 1.7), (45, 7.2) He uses the following steps to plot the graph: 1.Label origin as (0, 0) 2.On x-axis, label Temperature in Fahrenheit. 3.On y-axis, label Temperature in degrees Celsius. 4.The scale on x-axis starts from 0 and goes up to 700 at intervals of 20. 5.The scale on the y-axis starts from −12 and goes up to 12 at intervals of 2. Which of the following best describes the graph? A. It will not be spread out horizontally across the entire coordinate plane because in Step 4, Jacob selected an incorrect scale on the x-axis. B. It will not be spread out vertically across the entire coordinate plane because in Step 5, Jacob selected an incorrect scale on the y-axis. C. It will not be spread out horizontally across the entire coordinate plane because in Step 2, Jacob plotted Fahrenheit instead of Celsius on the x-axis. D. It will not be spread out vertically across the entire coordinate plane because in Step 3, Jacob plotted Celsius instead of Fahrenheit on the y-axis.

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