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Andrew [12]
3 years ago
13

Let me know if you can answer these :)

Mathematics
1 answer:
Olegator [25]3 years ago
5 0

Answer:

10. 285

11. 6\frac{3}{4}

16.a. Stiles Family

<u>Reason</u>-The Styles family uses  twice as much as the other two, because the electric consumption per person (which is =745 KWh) is much higher than the other two.

16.b. Mendelez family

Reason-The Mendelez family uses the least amount of water, because the water usage  per person (which is =875 gallons) is much lower than the other two.

Step-by-step explanation:

10. In 6 mins, no. of machine parts produced = 114

in 1 min, no. of machine parts produced = 114/6

in 15 min, no. of machine parts produces  \frac{114 *15}{6}\\=285

---------------------------------------------------------------------------------------------------------

11. To make 8 jumbo muffins take, amount of baking powder used = 1\frac{1}{2} =\frac{3}{2}

To make 1 jumbo muffin, amount of baking powder used = \frac{3}{2} / 8 =3/16

To make 3 dozens = (3 * 12 )= 36 muffins, amount of baking powder used =  36 *3/16

=\frac{27}{4} =6\frac{3}{4}

-------------------------------------------------------------------------------------------------------------

16. a. Electricity consumed by 1 person in the Mendelez family :

=1560/4

=390 KWh

Electricity consumed by 1 person in the Barton family:

=2130/6

=355 KWh

Electricity consumed by 1 person in the Styles Family:

=1490/2

=745 KWh

The Styles family uses  twice as much as the other two, because the electric consumption by 1 person is much higher than the other two.

------------------------------------------------------------------------------------------------------------

16.b. Water consumed by 1 person in the  Mendelez family = 3500/4=875 gallons

Water consumed by 1 person in the Barton family = 6400/6=1050 gallons

Water consumed by 1 person in the Styles family =2500/2=1250 gallons

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Alla [95]

Answer:

Point B is (10 , -4)

Point D is (10/9 , 1)

Step-by-step explanation:

* Lets revise the rule of the point which divides of a line segment in

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- If point (x , y) divides the line segment AB, where A is (x1 , y1) and

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∴ x = [m2(x1) + m1(x2)]/(m1 + m2)

∴ y = [m2(y1) + m1(y2)]/(m1 + m2)

* Now lets solve the problem

- Point C (3.6 , -0.4) divides AB in the ratio 3 : 2, where A is (-6 , 5)

# x = 3.6 , y = -0.4

# A is (x1 , y1) , B is (x2 , y2)

∴ x1 = -6 , y1 = 5

∵ m1 : m2 = 3 : 2

- Substitute these values in the rule

∵ x = [m2(x1) + m1(x2)]/(m1 + m2)

∴ 3.6 = [2(-6) + 3(x2)]/(3 + 2)

∴ 3.6  = [-12 + 3x2]/5 ⇒ multiply both sides by 5

∴ 18 = -12 + 3x2 ⇒ add 12 to both sides

∴ 30 = 3x2 ⇒ divide both sides by 3

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* The x-coordinate of B is 10

∵ y = [m2(y1) + m1(y2)]/(m1 + m2)

∴ -0.4 = [2(5) + 3(y2)]/(3 + 2)

∴ -0.4 = [10 + 3y]/5 ⇒ multiply both sides by 5

∴ -2 = 10 + 3y2 ⇒ subtract 10 from both sides

∴ -12 = 3x2 ⇒ divide both sides by 3

∴ -4 = y2

* The y-coordinate of B is -4

∴ Point B is (10 , -4)

- Point D divides AB in the ratio 4 : 5 where A (-6 , 5) and B (10 , -4)

- To find the coordinates of point D use the same rule above

# D is (x , y)

# A is (x1 , y1) and B is (x2 , y2)

# m1 : m2 is 4 : 5

∵ x1 = -6 and y1 = 5

∵ x2 = 10 and y2 = -4

∵ m1 = 4 and m2 = 5

- Substitute these values in the rule

∵ x = [m2(x1) + m1(x2)]/(m1 + m2)

∴ x = [5(-6) + 4(10)]/(4 + 5) ⇒ multiply the numbers

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∴ x = [10]/9 ⇒ Divide

∴ x = 10/9

* The x-coordinate of D is 10/9

∵ y = [m2(y1) + m1(y2)]/(m1 + m2)

∴ y = [5(5) + 4(-4)]/(5 + 4) ⇒ multiply the numbers

∴ y = [25 + -16]/9 ⇒ add

∴ y = [9]/9 ⇒ Divide

∴ y = 1

* The y-coordinate of point D is 1

∴ Point D is (10/9 , 1)

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It's necessary to apply inverse operations on both sides of the equals signs so that you can solve for the variable and balance the equation.

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