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2 years ago

Leia and Thaddeus are reading the same 225-page book. Leia starts reading the book and plans to read

Mathematics

1 answer:

Harman [31]2 years ago

3 0

<h2 />

A) True
B) False
C) True

<h2 /><h2><u>True or false</u></h2>

Since Leia and Thaddeus are reading the same 225-page book, and Leia starts reading the book and plans to read 25 pages a day while Thaddeus has already read 45 pages and is reading 20 pages a day, to determine if each statement is true or false the following calculations must be performed:

A) Leia will finish the book in 9 days.

225/25 = X
9 = X

Therefore, it is true that Leia will finish the book in 9 days.

B) f (x) = 20x represents the number of pages Thaddeus has read in x days.

20 x 5 = 200
45 + 20 x 5 = 245

Therefore, it is false that this equation represents the number of pages Thaddeus has read in x days.

C) They will both finish the book in 9 days.

45 + 20 x 9 = X
45 + 180 = X
225 = X

Therefore, it is true that they will both finish the book in 9 days.

Learn more about maths in brainly.com/question/26051685

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△ABC ≅ △DEF, EF = x 2 - 7, and BC = 4x - 2.

Artist 52 [7]

Answer:

Therefore the value of x is 5.

Step-by-step explanation:

Given:

△ABC ≅ △DEF,

EF = x 2 - 7, and

BC = 4x - 2.

To Find:

the values of x. = ?

Solution:

△ABC ≅ △DEF ........Given

If two Triangles are congruent then the Corresponding Parts of Congruent Triangles are Congruent.

∴ BC ≅ EF ...................CPCTC

Substituting the values we get

$4x-2=x^{2}-7\\x^{2}-4x-5=0$

Now By Factorizing we get

$x^{2}-5x+x-5=0\\x(x-5)+1(x-5)=0\\(x+1)(x-5)=0\\x+1=0\ or\ x-5=0\\x=-1\ or\ x=5\\x\ cannot\ be\ negative\\\therefore x=5$

Therefore the value of x is 5.

8 0

3 years ago

Paula made this model to show the sum of two mixed numbers. Write the addition equation shown by the model and solve it.

kipiarov [429]

Answer:

$3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}$

Step-by-step explanation:

Given

See attachment for number line

Required

Determine the model

From the attachment, we can see that each partition is 1/3

The gray rectangle covers 11 partitions.

So:

$Gray = 11 * \frac{1}{3}$

$Gray = \frac{11}{3}$

Express as a mixed number

$Gray = 3\frac{2}{3}$

The black rectangle covers 8 partitions

So:

$Black= 8 * \frac{1}{3}$

$Black= \frac{8}{3}$

Express as a mixed number

$Black= 2\frac{2}{3}$

So, the model is:

$Gray + Black = Total$

Where Total is the point where the black rectangle stops

$3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}$

5 0

2 years ago

Solve equation. <br><br> X^2-4x-12 = 0

ser-zykov [4K]

Answer:

Step-by-step explanation:

x2 - 4x - 12 = 0

x2 - 6x + 2x - 12= 0

x(x - 6) + 2(x - 6) = 0

x + 2 = 0

x = - 2

x - 6 = 0

x = 6

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3 years ago

...............what is (9x^2-3)^6

Lelu [443]

Step 1. Factor out the common term $3$

$(3(3 x^{2}-1)^{6}$

Step 2. Use <span>Multiplication Distributive Property: </span> $(xy)^{a} = x^{a} y^{a}$
<span>
</span> $3^{6}(3 x^{2}-1)^{6}$
<span>
Step 3. Simplify </span> $3^{6}$ to $729$

$729(3 x^{2}-1)^{6}$

Done!

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3 years ago

Write the point-slope form of the equation of the line through the given point with the given

UNO [17]

Answer:

The point-slope form of the equation is:

$y-\left(-5\right)=-3\left(x-3\right)$

Step-by-step explanation:

Given

point (3, -5)

slope = -3

We know the point-slope form of the line equation is

$y-y_1=m\left(x-x_1\right)$

where m is the slope

substituting the values m = -3 and the point (3, -5)

$y-y_1=m\left(x-x_1\right)$

$y-\left(-5\right)=-3\left(x-3\right)$

Thus, the point-slope form of the equation is:

$y-\left(-5\right)=-3\left(x-3\right)$

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2 years ago