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3 years ago

When a number is decreased by 10% of itself the result is 171. What is the number?

1 answer:

4 0

$100\%-10\%=90\%\\\\ \begin{array}{ccc}90\%&-&171\\\\100\%&-&x\end{array}\\\\cross\ multiply\\\\90x=171\times100\\\\90x=17100\ \ \ |divide\ both\ sides\ by\ 90\\\\\boxed{x=190}\leftarrow solution$

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18. The graph of f(x) = ax2 opens

borishaifa [10]

A could be any value less than 1

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2 years ago

2x²+12x-7 =0 (completing the square) give your answer to 2 decimal places

guapka [62]

Answer:

x1 = 0.54

x2 = –6.55

Step-by-step explanation:

use the calculator

8 0

3 years ago

Tiffany sees this given dilation and claims that the scale factor is 2

Alenkinab [10]

Answer:

The scale factor is not 2

Step-by-step explanation:

Given

See attachment for the dilated triangles

Triangle ABC is dilated through center point O to form triangle A'B'C'.

From the attachment, we have:

$OC = 2$ i.e. the distance from the center point to C

and

$OC' = 6$ i.e. the distance from the center point to C'

The length of OC' is calculated using:

$OC' = OC + CC'$

$OC' = 2 + 4$

$OC' = 6$

The scale factor (k) is then calculated by dividing OC' by OC

$k = \frac{OC'}{OC}$

$k = \frac{6}{2}$

$k = 3$

Hence, Tiffany's claim is incorrect.

5 0

3 years ago

4. The students in Mr. Michael’s art class are decorating a booth for Harvest Day. They have blue cloth that is 60 inches long,

MrRissso [65]

Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches.

a.

As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find GCF(greatest common factor) of 60, 48 and 72.

First we will factor out all three numbers completely......

$60=2*2*3*5\\ \\ 48=2*2*2*2*3\\ \\ 72=2*2*2*3*3$