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Marrrta [24]
2 years ago
10

Isandro and Yvette each have a calculator. Yvette starts at 100 and subtracts 7 each time. Isandro starts at 0 and adds 3 each t

ime. If they press the keys at the same time, will their displays ever show the same number? If so, what is the number?
Mathematics
1 answer:
Talja [164]2 years ago
7 0

Answer: <u>30</u>

Step-by-step explanation:

Yvette- <em>100-7</em>

Isandro- <em>0+3</em>

1.) I'm going to speed up the process and multiply by 5.

Yvette: <em>100-7</em>

7  × 5 = 35

100-35= 65

65-35= 30

Isandro: <em>0+3 </em>

3 × 5 = 15

0+15= 15

15+15=<em> </em>30

2.) If they keep going on this pattern they will have the same number on the 10 round.

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The total bill for breakfast was $81.30. The group of friends
mr_godi [17]

Answer:

$93.50

Step-by-step explanation:

81.30 x 1.15 = 93.50

6 0
3 years ago
Which represents the solution to the absolute value equation? 3|2x+4|-1=11
larisa86 [58]
The first step for absolute value equations is to isolate the expression contained within the absolute value bars:

3|2x+4|-1 = 11
3|2x+4| = 12
|2x+4| = 4

so |2x+4| is 4 units away from 0 on a number line, but we don't know in which direction -- negative or positive? you'll have two answers.

2x+4 = 4

AND

2x+4 = -4

solve both of those two step equations and you'll get

x = 0

AND

x = -4

so 0 and -4 are your solutions.
5 0
3 years ago
A rectangle has vertices (8, 6), (4, 6), (8, −4), and (4, −4). What are the coordinates after dilating from the origin by a scal
Mama L [17]

Answer: (12,9), (6,9), (12,-6) and (6,-6)

Step-by-step explanation:

Given: The coordinates of the original rectangle are  (8, 6), (4, 6), (8, −4), and (4, −4).  We know that the coordinates of the image after dilation  from the origin by a scale factor of k is given by:_

(xy)\rightarrow(kx,ky)

Then, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are given by:_

(8, 6)→(8\times1.5,6\times1.5)=(12,9)

(4, 6)→(4\times1.5,6\times1.5)=(6,9)

(8, −4) →(8\times1.5,-4\times1.5)=(12,-6)

(4, −4)→(4\times1.5,-4\times1.5)=(6,-6)

Hence, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are (12,9), (6,9), (12,-6) and (6,-6).

3 0
3 years ago
If neither a nor b are equal to zero, which answer most accurately describes the product of (a + bi)(a - bi)?
Scrat [10]

Answer:  the correct option is

(D) The imaginary part is zero.

Step-by-step explanation:  Given that neither a nor b are  equal to zero.

We are to select the correct statement that accurately describes the following product :

P=(a+bi)(a-bi)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be using the following formula :

(x+y)(x-y)=x^2-y^2.

From product (i), we get

P\\\\=(a+bi)(a-bi)\\\\=a^2-(bi)^2\\\\=a^2-b^2i^2\\\\=a^2-b^2\times (-1)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }i^2=-1]\\\\=a^2+b^2.

So, there is no imaginary part in the given product.

Thus, the correct option is

(D) The imaginary part is zero.

3 0
3 years ago
List the following numbers in order from least to greatest. <br><br> 2, -3, 9 what is this
scoundrel [369]
-3, 2, 9 hope this helpedd
6 0
2 years ago
Read 2 more answers
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