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3 years ago

I need help on my test hurry

Mathematics

1 answer:

Lilit [14]3 years ago

3 0

Answer:

x=5

Step-by-step explanation:

For triangle A to be a scale model of triangle B, x must equal 5. This is because all side lengths must be reduced by the same ratio. In this case that ratio is 2.5. 12.5/2.5=5

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Write an augmented matrix for the following system of equations

chubhunter [2.5K]

Just use the coefficients for each variable and put it in a matrix. Is the second question set equal to something? Because then you would put it in place as the question mark. (Did the pic come through?)
So the 3x3 matrix is made up of the coefficients and then to augment the matrix, you add another column at the end with the solutions. Good luck!

6 0

3 years ago

Peter is reading a 193-page book. he has read three pages more than one-fourth of the number of pages he hasn't yet read. how ma

exis [7]

Let's call the number of pages we have read $m$ . To find the number of pages we have left to read, we'll need to subtract the number of pages we've read from the total number of pages in the book. Our total page count is 193, and the number of pages we've read is the unknown $m$ , so the number of pages we haven't read can be written as $193-m$ . With that knowledge, let's construct the rest of our equation.

"He has read three pages more than one-fourth of the number of pages he hasn't yet read." The first key phrase here is "he has read." What this means is that the number of pages he's read, which we've named $m$ , is equal to everything in the rest of the sentence. "Thee pages more than" means that we're going to be adding 3 to whatever the next quantity described is, which, in this case, is "one-fourth of the number of pages he hasn't yet read." We already established earlier that "the number of pages he hasn't yet read" is $193-m$ , so one-fourth of that would be $\frac{1}{4} (193-m)$ . Putting everything together, we get the following equation:

$m= \frac{1}{4} (193-m)+3$

To solve for $m$ , we might first want to eliminate the fraction 1/4 by multiplying both sides of the equation by 4, obtaining

$4m=193-m+12$

Solving for m, we get:

$4m=193+12-m\\5m=205\\m=41$

Now that we have m, it's a simple matter to solve for $193-m$ :

$193-41=152$

So, he has not yet read 152 pages.

6 0

3 years ago

A water bill is $139.92. If the bill is paid late, then there is a 5% fee. How much is the late fee for the bill? *

solong [7]

Answer:

The late fee would be about $7

Step-by-step explanation:

Divide

$139.92/100 = 1.3992$

Multiply by 5

$1.3992*5=6.996$

3 0

3 years ago

The world’s largest round pizza was set in December 2012 by five Italian chefs. The diameter of this pizza was 131 feet. If this

Tems11 [23]

First find the area of the whole pizza.

The formula for area of a circle is Area = PI x r^2

The diameter is given as 131 feet, so r would be 131/2 = 65.5 feet.

I will use 3.14 for PI since the problem doesn't say what value to use.

Area = PI x 65.5^2

Area = 3.14 x 4290.25

Area = 13,471.39 square feet

Divide the total area by the number of pieces:

13,471.39 / 50 = 269.43 square feet

To find the length of the crust first find the circumference of the whole pizza:

Circumference = PI x diameter

Circumference = 3.14 x 131 = 411.34 feet

Now divide the total by the number of pieces:

411.34 / 50 = 8.23 feet

Each slice has an area of about 269.43 square feet and a crust length of 8.23 feet.

8 0

3 years ago

AB=BC what is the property

aalyn [17]

if a is related to b by some property, and b is related to c by the same property, then a is related to c by that property (Brainliest Answer Will be appreciated:D)

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3 years ago