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2 years ago

Which statements are true about the rules of division? Check all that apply.

Mathematics

2 answers:

a_sh-v [17]2 years ago

8 0

Answer:

1.The quotient of two negative integers is positive.

3.The quotient of two integers with the same sign is positive.

Step-by-step explanation:

Fittoniya [83]2 years ago

3 0

Answer:

1 and 3

Step-by-step explanation:

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calculeaza lungimea segmentului ab in fiecare dintre cazuri:A(1,5);B(4,5);A(2,-5),B(2,7);A(3,1)B(-1,4);A(-2,-5)B(3,7);A(5,4);B(-

Tatiana [17]

Answer:

1. 3; 2. 12; 3. 5; 4. 13; 5. 10; 6. 10

Step-by-step explanation:

We can use the distance formula to calculate the lengths of the line segments.

$d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$

1. A (1,5), B (4,5) (red)

$d = \sqrt{(x_{2} - x_{1}^{2}) + (y_{2} - y_{1})^{2}} = \sqrt{(4 - 1)^{2} + (5 - 5)^{2}}\\= \sqrt{3^{2} + 0^{2}} = \sqrt{9 + 0} = \sqrt{9} = \mathbf{3}$

2. A (2,-5), B (2,7) (blue)

$d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} = \sqrt{(2 - 2)^{2} + (7 - (-5))^{2}}\\= \sqrt{0^{2} + 12^{2}} = \sqrt{0 + 144} = \sqrt{144} = \mathbf{12}$

3. A (3,1), B (-1,4 ) (green)

$d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} = \sqrt{(-1 - 3)^{2} + (4 - 1)^{2}}\\= \sqrt{(-4)^{2} + 3^{2}} = \sqrt{16 + 9} = \sqrt{25} = \mathbf{5}$

4. A (-2,-5), B (3,7) (orange)

$d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} = \sqrt{(3 - (-2))^{2} + (7 - (-5))^{2}}\\= \sqrt{5^{2} + 12^{2}} = \sqrt{25 + 144} = \sqrt{169} = \mathbf{13}$

5. A (5,4), B (-3,-2) (purple)

$d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} = \sqrt{(-3 - 5)^{2} + (-2 - 4)^{2}}\\= \sqrt{(-8)^{2} + (-6)^{2}} = \sqrt{64 + 36} = \sqrt{100} = \mathbf{10}$

6. A (1,-8), B (-5,0) (black)

$d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} = \sqrt{(-5 - 1)^{2} + (0 - (-8))^{2}}\\-= \sqrt{(-6)^{2} + (-8)^{2}} = \sqrt{36 + 64} = \sqrt{100} = \mathbf{10}$

6 0

2 years ago

A pair of children shoes comes in a box that measures 10.2 cm x 15 cm x 8 cm what is the volume of a shoebox A pair of children

iris [78.8K]

Answer:

1224 cm^3

Step-by-step explanation:

The shape of the box is a rectangular prism.

The volume of a rectangular prism is given by the formula below.

volume = length * width * height

volume = 10.2 cm * 15 cm * 8 cm

volume = 1224 cm^3

4 0

2 years ago

Justin weighs 15 pounds less than Greg weighs. Half of Greg’s weight is 75 pounds less than Justin’s weight. How much does each

sp2606 [1]

Lets take Gregs weight as “x”. This means that Justins weight is x-15, and x/2 = (x-15)-75.

If we take that last equation, lets combine like terms:

x/2 = x - 15 - 75
x/2 = x - 90
Now multiply both sides by 2 to get rid of the fraction
x = 2x - 180
Subtract 2x from both sides
x - 2x = -180
-x = -180
x = 180 — this is Gregs weight

Justins weight is x-15, so 180-15, which is 165 pounds. Hope this helped.

5 0

2 years ago

Riya is applying mulch to her garden. She applies it at a rate of 250{,}000\text{ cm}^3250,000 cm 3 250, comma, 000, start text,

koban [17]

Complete Question

Riya is applying to her garden. She applies it at a rate of 25, 000 cm³ of mulch for every m² of garden space. At what rate is Riya applying mulch in m³/m²

Answer:

0.25m³/m²

Step-by-step explanation:

We are told the Riya sprays mulch at 250,000cm³ per m²

To find the rate at which Riya is spaying the mulch in m³/m² we would have to convert 250,00cm³/m² to m³/m²

1 cm³ = 1 × 10^-6m³

250,000 cm³ = x m³

Cross Multiply

1 cm³ × xm³ = 250,000cm³ × 1 × 10^-6 m³

x m³ = 250,000cm³ × 1 × 10^-6 m³/1 cm³

= 0.25m³

Therefore, the rate at which Riya is spraying the mulch = 0.25m³/m²

3 0

2 years ago

When Katie was visiting her grandpas farm she saw the farm only raised hands and pigs. Katie counted 32 heads and 100 feet in th

QveST [7]

There were 14 hens and 18 pigs in the backyard

Step-by-step explanation:

Katie was visiting her grandpas farm

She saw only hens and pigs
Katie counted 32 heads and 100 feet in the backyard

We need to find how many hens and pigs in the backyard

Assume that there are x hens and y pigs in the backyard

∵ There are x hens and y pigs in the backyard

∵ There are 32 heads

∴ x + y = 32 ⇒ (1)

∵ Each hen has 2 feet

∵ Each pig has 4 feet

∵ There are 100 feet

∴ 2x + 4y = 100 ⇒ (2)

Let us solve the system of equations to find how many hens and pigs

Multiply equation (1) by -2 to eliminate x

∴ -2x - 2y = -64 ⇒ (3)

- Add equations (2) and (3)

∴ 2y = 36

- Divide both side by 2

∴ y = 18

Substitute the value of y in equation (1) to find the value of x

∵ x + 18 = 32

- Subtract 18 from both sides

∴ x = 14

There were 14 hens and 18 pigs in the backyard

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#learnwithBrainly

8 0

2 years ago