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Aleks04 [339]
3 years ago
6

before lunch time Abigail and Teresa each read some pages from different books. read 5 or one fifth of the pages in her book. Te

resa read 6 pages or one sixth of pages in her book. whose book had more pages? how many more pages
Mathematics
2 answers:
alexdok [17]3 years ago
8 0
Since 5 is 1/5 of Abigail’s book, you multiply 5 x 5 and get 25.
Abigail’s book has 25 pages.
Since 6 is 1/6 of Teresa’s book, you multiply 6 x 6 and get 36.
Teresa’s book has 36 pages.
36 - 25 = 11
Teresa’s book has 11 more pages than Abigail’s book.
Lady bird [3.3K]3 years ago
3 0
Teresa because she read more pages but less book was finished(she only read one sixth unlike abigail one fifth)
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Solve the system of equations by substitution.<br> y = 8<br> X – 2y + 3z = 3<br> 3x + 3y – 2z = 15
Dafna1 [17]

Answer:

Solving systems of equations with 3 variables is very similar to how we solve systems with two variables. When we had two variables we reduced the system down

to one with only one variable (by substitution or addition). With three variables

we will reduce the system down to one with two variables (usually by addition),

which we can then solve by either addition or substitution.

To reduce from three variables down to two it is very important to keep the work

organized. We will use addition with two equations to eliminate one variable.

This new equation we will call (A). Then we will use a different pair of equations

and use addition to eliminate the same variable. This second new equation we

will call (B). Once we have done this we will have two equations (A) and (B)

with the same two variables that we can solve using either method. This is shown

in the following examples.

Example 1.

3x +2y − z = − 1

− 2x − 2y +3z = 5 We will eliminate y using two different pairs of equations

5x +2y − z = 3

Step-by-step explanation:

6 0
3 years ago
What is the explicit formula for this sequence?
Zarrin [17]

Step-by-step explanation:

The above sequence is a geometric sequence

For an nth term in a geometric sequence

a(n) = a ({r})^{n - 1}

where

n is the number of terms

a is the first term

r is the common ratio

From the question

a = 5

r = 10/5 = 2

Therefore the explicit formula for this sequence is

a(n) = 5( {2})^{n - 1}

Hope this helps you

8 0
3 years ago
Please Help!!
algol13
When you see questions of this nature, test the individual inequalities and look out for their intersection.

For
y < \frac{2}{3} x
Choose a point in the lower or upper half plane created by the line
y = \frac{2}{3} x
The above line is the one which goes through the origin.

Now testing (1,0) yields,

0 < \frac{2}{3} (1)
That is,

0 < \frac{2}{3}
This statement is true. So we shade the lower half of
y = \frac{2}{3} x

For
y \geqslant - x + 2
We test for the origin because, it is not passing through the origin.

0 \geqslant - (0) + 2
This yields
0 \geqslant 2
This statement is false so we shade the upper half.

The intersection is the region shaded in B. The top right graph
8 0
4 years ago
Solve for the value of z: 90/15 = 6/z
lara31 [8.8K]

Answer:

z = 1

Step-by-step explanation:

90/15 = 6/z

Cross Multiply

15 * 6 = 90 * z

90 = 90z

Divide both sides of the equation by 90

z = 1

Hope this was useful to you!

3 0
3 years ago
The slope of the line below is 1 .write the point slope equation for the line using the coordinates of the labeled point. (5,7)​
wariber [46]

Answer:

<em>y - 7 = 1 (x-5)</em>

Step-by-step explanation:

The point slope equation of a line is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given the following

m = 1

(x0, y0) = (5, 7)

Substitute into the formula

y - 7 = 1 (x - 5)

y - 7 = x -5

y = x - 5 + 7

y = x + 2

<em>Hence the point slope equation of the line is y - 7 = 1 (x-5)</em>

<em></em>

<em></em>

3 0
3 years ago
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