What is a number is less than 3000 and if divided by 32 the remainder is 30 and if divided by 58 the remainder is 44?
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2/3 cups of raisins are mixed with 1/2 cup peanuts what is the ratio
Jason ran 325 meters farther then kim ran 4.2 kilometers how many meters did Jason run. Estimate
"Find the missing side lengths in each pair of similar figures." Someone explain please
Can someone please help me
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Answer: 3 packages of DVD cases and 5 packets of padded mailing envelopes.
Step-by-step explanation:
Hi, to answer this question we have to find the Least Common Multiple (LCM) of 20 (DVD cases) and 12 (envelopes).
20: 20,40,60,80
12: 24,36,48,60
Since DVD cases are sold in packages of 20: to find the number of packages we have to divide the number of DVD cases that we could buy (60) by the number of DVD cases that each package contains (20).
60/20 = 3 packages of DVD cases
And for the envelopes (12)
60/12 =5 packets of Padded mailing envelopes
2. 3x2 1/4. which one is right? 3x2 1/4= 3x 9/4 or 3x 2 1/4= 3x(2 + 1/4)
=27/4 =(3x2)+(3 x 1/4)
=24/4+3/4 = 6 + 3/4
=6 + 3/4 = 6 3/4
=6 3/4
3. Calculate 8x 7 3/4. Explain.
4. Which expression can be to solve the following problem.
Seth has 7 cans of tuna. each can holds 5 9/10ounces of tuna. Is it
a. 7x9 +(7x 5/10) b.7x59 +(7x 1/10) c.7x5 +(7 x 9/10) d.7x
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24apples=8apples ×3=15/4×3
=45/4 0r 11 3/4 or 11.25
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18/6=3
42/6=7.
You have the simplest form in the simplest way!!
Your answer is 3/7.
Hope this helped!!
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(x)+(x+2)+(x+4)+(x+6)+(x+8)=-65
add like terms
5x+20=-65
subtract 20 from both sides
5x=-85
divide both sides by 5
x=-17
so x+2=-15
x+4=-13
x+6=-11
x+8=-9
so they are (-9,-11, -13, -15, -17)
A- If the dimensions of the rectangle are doubled, what is the area of the new rectangle in terms of x? Show your work.
B- Will the ratio of the area of the original rectangle to the area of the larger rectangle be the same for any positive value of x? Explain.
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If it has an area of 4(x+3) we can think that one side has a length of 4, and the other has a length of (x+3).
So, if the dimensions were doubled, 4 x 2 = 8. And 2(x+3) = 2x+6.
The new area would be:
8(2x+6) = 16x+48.
B)
The ratio will be the same. For example lets plug in some points:
x=0
4(0+3) = 4(3) = 12
And
16(0)+48 = 0+48 = 48
So the ratio is 48/12 = 4
Lets plug in another point.
x=2
4(2+3)= 4(5) = 20
And
x=2
16(2)+48 = 32 + 48 = 80
80/20 = 4
So the ratio is the same :)
if we double the dimensions of the rectangle, the area will be fourfold:
B- yes, it will always be the same because:
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*Remember the original equation in slope-intercept form*
y=mx+b
*label that with what each letter stands for*
m=slope/rate of change
x=variable
b=y-intercept
*Substitute this information into the equation
y=2/3x+3
Hope this helps comment below for more questions :)