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2 years ago

12

Chloe has 12 commemorative plates and 18 commemorative spoons. She wants to display them in groups throughout her house, each wi

th the same combination of plates and spoons, with none left over. What is the greatest number of groups Chloe can display?

1 answer:

Semenov [28]2 years ago

8 0

6 plates with 3 spoons or 9 plates with 2 spoons

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Question 8 (1 point)

AleksandrR [38]

Answer:

solution is x=3

Step-by-step explanation:

$logx-log3=log(x-2)$

apply log property

log a- log b= log a/b

$logx-log3=log(x-2)\\log (\frac{x}{3} )=log(x-2)$

we have log on both sides

so we remove the log and make the arguments equal

$\frac{x}{3} = x-2$

solve for x, multiply whole equation by 3

$x=3(x-2)\\x=3x-6\\x-3x=-6\\-2x=-6\\x=3$

now plug in 3 for x and check

$logx-log3=log(x-2)\\log3-log3=log(3-2)\\0=0$

solution is x=3

8 0

3 years ago

Write the equation of the line, given the y and x-intercepts.

Dimas [21]

Answer:

y = -(2/3)m - 2

Step-by-step explanation:

recall that the general equation of a straight line in slope-intercept form is

y = mx + b

where, m is the slope and b is the y - intercept

here we are given that the y - intercept is -2, hence the equation becomes:

y = mx + (-2)

or

y = mx -2

we are also given that the x-intercept is -3, which means that when y = 0, x = -3 (simply substitute this into our new equation to solve for m)

0 = m(-3) -2

0 = -3m - 2 (add 3m to both sides)

3m = -2 (divide both sides by 3)

m = -(2/3)

hence our equation is now

y = -(2/3)m - 2

5 0

3 years ago

The distance DA between earth and the sun is 93,000,000 miles, the distance DE between earth and the moon is 240,000 miles, and

Rudiy27

Answer:

Hi

Step-by-step explaidknation:

6 0

3 years ago

Triangle ABC was dilated by 50%. What is the relationship between AC and A'C'?

Elina [12.6K]

Answer:

The length of segment AC is two times the length of segment A'C'

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z ----> the scale factor

A'C' ----> the length of segment A'C'

AC ----> the length of segment AC

so

$z=\frac{A'C'}{AC}$

we have that

$z=50\%=50/100=\frac{1}{2}$ ---> the dilation is a reduction, because the scale factor is less than 1 and greater than zero

substitute

$\frac{1}{2}=\frac{A'C'}{AC}$

$AC=2A'C'$

therefore

The length of segment AC is two times the length of segment A'C'

5 0

3 years ago

Read 2 more answers

Which shape has only one pair of parallel sides? A. rectangle B. triangle C. trapezoid D. rhombus

spin [16.1K]

I would most likely go with C.

5 0

3 years ago

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