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2 years ago

Use the distributive property to write an equivalent expression. 8(10p + 6q - 1)

Mathematics

1 answer:

Vinil7 [7]2 years ago

3 0

Answer:

80p + 48q - 8

Step-by-step explanation:

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The scale of this map is 1 inch = 50 miles. The ruler measures the distance between Gary, Indiana, and Traverse City, Michigan,

levacccp [35]

Answer:

<em>150 miles</em>

Step-by-step explanation:

Given the scale on the map using the conversion factor

1 inch = 50 miles

We are to find the equivalent miles between the cities in miles if the distace is 3inches

3inches = x

Divide both expressions

1/3 = 50/x

Cross multiply

x = 3 * 50

x = 150

<em>Hence the actual distance between these two cities in miles is 150 miles </em>

6 0

2 years ago

Let u = <-8, -9>. Find 7u. (2 points)

ANEK [815]

Multiplying a vector by a scalar means to multiply each coordinate of the vector by said scalar.

So, we must multiply both entries by 7:

$u=(-8, -9)\implies 7u=(-8\cdot 7, -9\cdot 7) = (-56, -63)$

4 0

3 years ago

The quotient of three times a number and 4 is at least -16

vladimir1956 [14]

Ok to solve this just write it out how it sounds, like so.

3x/4 $\geq$ -16

Hope this helps!=)

4 0

3 years ago

Find the third side in simplest radical form:<br> 25

Gre4nikov [31]

Answer:

<h3> $\boxed{ \bold{24}}$ </h3>

Step-by-step explanation:

$\mathsf{given}$

$\mathsf{hypotenuse(h) = 25}$

$\sf{perpendicular (p) = 7}$

$\sf{base(b) = }$ ?

Now, Using Pythagoras theorem

$\sf{{h}^{2} = {p}^{2} + {b}^{2} }$

plug the values

⇒ $\sf{ {25}^{2} = {7}^{2} + {b}^{2} }$

Evaluate the power

⇒ $\sf{625 = 49 + {b}^{2} }$

Swap the sides of the equation

⇒ $\sf{49 + {b}^{2} = 625}$

Move constant to right hand side and change it's sign

⇒ $\sf{ {b}^{2} = 625 - 49}$

Calculate the difference

⇒ $\sf{ {b}^{2} = 576}$

Squaring on both sides

⇒ $\sf{b = 24}$

Hope I helped!

Best regards!

8 0

3 years ago

Find the common ratio for 4,2, and 1

svetoff [14.1K]

Answer:

4:2:1 is common ratio for 4,2, and 1

7 0

2 years ago

Use the distributive property to write an equivalent expression. 8(10p + 6q - 1)​

Use the distributive property to write an equivalent expression. 8(10p + 6q - 1)