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2 years ago

9

Eric created a rectangular patio using 1 foot square paving stones,which are sold in batches by the dozen. The patio measures 7

feet by 8 feet. How many batches of paving stones did Eric need?

1 answer:

Nuetrik [128]2 years ago

6 0

I believe it is 56 because 7•8 is 56 and 1•56 is 56

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Pls help due asap! <br> Pls SHOW WORKINGS

sladkih [1.3K]

Answer:

$m\angle 1=95^{\circ}$

Step-by-step explanation:

If we drew an auxiliary line parallel to line $p$ and line $q$ that intersects the vertex of $\angle 1$ , we would form three angles, one of them being

The largest of these angles corresponds with the angle marked as $148^{\circ}$ .

The angle on the bottom right corresponds with the angle next to the one marked as $63^{\circ}$ . Therefore, its measure is $180-63=117^{\circ}$ .

Since there are $360^{\circ}$ in a circle, we can now write the following equation:

$m\angle 1+117+148=360,\\m\angle 1=\fbox{$95^{\circ}\checkmark$}$ .

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2 years ago

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A solid figure with flat faces

Vaselesa [24]

A cube i hope i helped!

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2 years ago

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Rewrite, using the distributive<br> property.<br> 5(2x – 3y) = [?]* - [ ]y

olchik [2.2K]

Answer:

10x-15y

Step-by-step explanation:

So, when they say use the distrubutive property, they basically mean turning this:

a(b+c)

Into this:

ab+ac

So in this case, it would be:

5(2x-3y)

And we will turn it into:

10x-15y

ANother way to think about it is we are multiplying 2x by 5, and -3y by 5. So:

2x*5

=

10x

And

-3y*5

=

-15y

Then we can combine these two:

10x-15y

Hope this helps!

7 0

2 years ago

the combined age of april and laura is 23 years. laura's age is two years more than half of april's age. what is laura's age

Kipish [7]

Laura's age is 9 years.

Solution:

Let x be the age of April.

Laura's age = 2 years more than half of April's age

<u>Convert statement into algebraic expression:</u>

Half of April's age = $\frac{x}{2}$

2 years more than half of April's age = $\frac{x}{2}+2$

Combined age of April and Laura = 23

⇒ April's age + Laura's age = 23

$$\Rightarrow \ \ x+(\frac{x}{2}+2) =23$

$$\Rightarrow \ \ x+\frac{x}{2}+2 =23$

$$\Rightarrow \ \ \frac{x}{1}+\frac{x}{2}+\frac{2}{1} =23$

To add the fractions make the denominators same.

Multiplying 2 on both numerator and denominator of unlike terms, we get

$$\Rightarrow \ \ \frac{x\times2}{1\times2}+\frac{x}{2}+\frac{2\times2}{1\times2} =23$

$$\Rightarrow \ \ \frac{2x}{2}+\frac{x}{2}+\frac{4}{2} =23$

Denominators are same, now add the fractions.

$$\Rightarrow \ \ \frac{2x+x+4}{2} =23$

Do cross multiplication.

$$\Rightarrow \ \ 2x+x+4=23\times2$

$$\Rightarrow \ \ 3x=46-4$

$$\Rightarrow \ \ 3x=42$

$$\Rightarrow \ \ x=14$

Aprils's age = 14 years

Laura's age = $\frac{14}{2}+2$

= 7 + 2

Laura's age = 9

Hence Laura's age is 9 years.

8 0

2 years ago

You have 2 nickels, 11 dimes and 5 quarters in your pocket. What is the ratio of nickels to quarters?

daser333 [38]

Answer:

2:5

Step-by-step explanation:

Since there are 2 nickles and 5 quarters there are 2 nickles for every 5 quarters so answer is 2:5

4 0

2 years ago