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3 years ago

Mrs Dinh is dividing her bread and I need to figure out calories

Mathematics

2 answers:

hichkok12 [17]3 years ago

8 0

There are 6 people in total, the parents and their 4 children.

So the number of calories in the loaf of bread is 6 * 210 = 1260 calories.

NeX [460]3 years ago

8 0

Yeah she is most definitely correct go for that answer

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At the zoo tje ratio of snakes to lizards is 3:2 A. If there were 10 lizards ,how many snakes would be there be? B.If there were

yawa3891 [41]

Answer:

Part A) $15\ snakes$

Part B) $6\ lizards$

Part C) The zoo would need to get four more lizards to maintain the same proportion

Part D) 12 snakes and 8 lizards

Step-by-step explanation:

Part A) If there were 10 lizards ,how many snakes would be there be?

Let

x ---> the number of snakes

y ---> the number of lizards

$\frac{x}{y}=\frac{3}{2}$ ----> equation A

we have that

$y=10\ lizards$

substitute the value of y in the equation A

$\frac{x}{10}=\frac{3}{2}$

solve for x

$x=10(3)/2\\x=15\ snakes$

Part B) If there were 9 snakes ,how many lizards would there be?

Let

x ---> the number of snakes

y ---> the number of lizards

$\frac{x}{y}=\frac{3}{2}$ ----> equation A

we have that

$x=9\ snakes$

substitute the value of x in the equation A

$\frac{9}{y}=\frac{3}{2}$

solve for y

$y=9(2)/3\\y=6\ lizards$

Part C) If the number of snakes in the zoo is increased by 6, how many more lizards would the zoo need to get to keep the same ratio?

Let

x ---> the number of snakes

y ---> the number of lizards

$\frac{x}{y}=\frac{3}{2}$ ----> equation A

For $x=6\ snakes$

substitute the value of x in the equation A

$\frac{6}{y}=\frac{3}{2}$

solve for y

$y=6(2)/3\\y=4\ lizards$

therefore

The zoo would need to get four more lizards to maintain the same proportion

Part D) If the total number of snakes and lizards at the zoo was 20, how many snakes and lizards would there be?

Let

x ---> the number of snakes

y ---> the number of lizards

$\frac{x}{y}=\frac{3}{2}$

isolate the variable x

$x=1.5y$ ----> equation A

$x+y=20$ ----> equation B

solve the system by substitution

substitute equation A in equation B

$1.5y+y=20$

solve for y

$2.5y=20$

$y=8\ lizards$

Find the value of x

$x=1.5(8)=12\ snakes$

therefore

12 snakes and 8 lizards

8 0

3 years ago

In parallelogram ABCD , m∠A=(2x)° and m∠B=(5x+5)° . The figure shows parallelogram A B C D with vertices named clockwise from bo

lara [203]

Answer:

The measure of angles of parallelogram are

∠A = 50° ,

∠B = 130° ,

∠C = 50° ,

∠D = 130°

Step-by-step explanation:

Given as for a parallelogram :

The vertices of parallelogram is A B C D in clockwise

The measure of angle A = ∠A = ( 2 x )°

The measure of angle B = ∠B = ( 5 x + 5 )°

Now, for a parallelogram , the sum of measure of all four angles = 360°

<u>From The property of Parallelogram</u>

A ) The adjacent angles are supplementary

So, ∠A + ∠B = 180°

Or, ( 2 x )° + ( 5 x + 5 )° = 180°

Or, ( 7 x + 5 )° = 180°

Or , ( 7 x )° = 180° - 5°

Or , ( 7 x )° = 175°

∴ x = $\frac{175}{7}$

I.e x = 25°

So, ∠A = ( 2 x )° = ( 2 ×25° )

I.e , ∠A = 50°

∠B = ( 5 x + 5 )°

Or, ∠B = ( 5 ×25° + 5 )°

I.e , ∠B = 130°

B ) The opposite angles of parallelogram is equal

So, ∠C = ∠A = 50°

I,e ∠C = 50°

And ∠D = ∠B = 130°

I.e ∠D = 130°

Hence The measure of angles of parallelogram are ∠A = 50° , ∠B = 130° , ∠C = 50° , ∠D = 130° Answer

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