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3 years ago

If Anita uses a total of 15 orange balloons how many green balloons should she use

Mathematics

1 answer:

Paha777 [63]3 years ago

3 0

Answer:

Step-by-step explanation:

So basically since she used 15 orange balloons she would have to use 10 green balloons

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-5x - 7y=17<br> -8x - 5y = 21<br> solve the following system of equations

erik [133]

Answer:

x= 17+7y/15 as a fraction

Step-by-step explanation:

x=21+5y/8 as a fraction

6 0

2 years ago

A dog trainer is trying to find a triangular area behind his house that encloses 1800 square feet for his dog to run. He has the

aliina [53]

Answer:

$C = (30,500)$

Step-by-step explanation:

Given

$Area = 1800ft^2$

$A = (6,0)$

$B = (0,25)$

$C(x,y) = (30,y)$

Required

Determine the coordinates of C

The area of triangle is calculated as thus:

$Area = \frac{|A_x(B_y - C_y) + B_x(C_y - A_y) + C_x(A_y - B_y)|}{2}$

This gives:

$1800= \frac{|6(25 - y) + 0(y - 0) + 30(0 - 25)|}{2}$

$1800= \frac{|6(25 - y) + 30(0- 25)|}{2}$

$1800= \frac{|6(25 - y) + 30(-25)|}{2}$

$1800= \frac{|150 - 6y -750 |}{2}$

$1800= \frac{|150 -750- 6y |}{2}$

$1800= \frac{|-600- 6y |}{2}$

Multiply through by 2

$2 * 1800= |-600- 6y|$

$3600= |-600- 6y|$

$3600= |-(600+ 6y)|$

$3600= 600+ 6y$

Solve for 6y

$6y = 3600 - 600$

$6y = 3000$

Solve for y

$y = 3000/6$

$y = 500$

Hence:

The point is:

$C = (30,500)$

7 0

3 years ago

Solution of the ab+ac

seropon [69]

Answer:

= a(b+c)

Step-by-step explanation:

you can factorize out the a

5 0

1 year ago

Brainliest will be given to whoever has the correct answer

Shkiper50 [21]

Answer:

Step-by-step explanation:

7 0

2 years ago

Please help by solving with method. Thanks

Xelga [282]

Answer:

(a) AD=6 cm

(b) 66 cm²

Step-by-step explanation:

(a) To get the length of AD, we can use pythagoras on the triangle part. Let's say the dotted line intersects DC at E. Then since AB and DC are parallel, AD is equal to BE. EC = 8 cm simply by subtracting AB from DC (15-7=8).

Then pythagoras says that 8²+BC²=10². So BC = √(100-64) = 6. And since BC=AD, AD is also 6.

(b) Area of the rectangle DEBA is 7*6 = 42. Area of triangle ECB is base times half height: 8*3 = 24. Sum is 42+24 = 66 cm²

3 0

3 years ago

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