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Zolol [24]
3 years ago
8

A multiple must be greater than or equal to the largest starting number. True or False

Mathematics
1 answer:
podryga [215]3 years ago
8 0

I'll use multiples of 2 and 4 as an example:

Multiples of 2: 2, 4, 6, 8...

Multiples of 4: 4, 8, 12, 16...

The least common multiple in this case is 4. The LCM is always ≥ the largest starting number, which is 4 for this example. Therefore, the statement is true.

<em>Hope this helps! :)</em>

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Brand X sells 21 oz. Bags of mixed nuts that contain 29% peanuts. To make their product they combine brand A mixed nuts which co
masha68 [24]

Answer:

Brand X has to mix 8.4 oz of brand A mixed nuts which contain 35% peanuts and 12.6 oz of brand B mixed nuts which contain 25%, to obtain 21 oz. Bags of mixed nuts that contain 29% peanuts.

Step-by-step explanation:

Hi

We define

B_{A}=1oz @ 35\%, wich means Brand A has 1 oz containing 35% peanuts.

B_{B}=1oz @ 25\%, wich means Brand b has 1 oz containing 25% peanuts.

So we can build an equiation system

(1) B_{a}+B_{b}=21

(2)0.35 \times B_{a}+0.25 \times B_{b}=0.29 \times 21, after fixing it a little

(2)0.35B_{a}+0.25B_{b}=6.09

As we can use any method to solve the system, I used a calculator wich thrown the following results B_{a}=8.4 \ oz and B_{b}=12.6 \ oz.

4 0
3 years ago
Consider equation of circle x2-2x+y2-4y-4=0,if line 2x-y+a=0 is its diameter then find value of a
g100num [7]

Answer:

Step-by-step explanation:

x² - 2x + y² - 4y - 4 = 0

x² - 2x + y² - 4y = 4

complete the squares

(x² - 2x + x₀) + (y² - 4y + y₀) = 4

the unknown number will be the square of half of the x¹ coefficient

(x² - 2x + 1) + (y² - 4y + 4) = 4 + 1 + 4

(x - 1)² + (y - 2)² = 9

This tells us that the circle is centered on (1, 2)

Which is also a point on the diameter

2x - y + a = 0

a = y - 2x

a = 2 - 2(1)

a = 0

4 0
3 years ago
If c(x)=5/x-2 and d(x)=x+3 what is the domain of (cd)(x)?. . And, if f(x)=7+4x and g(x)=1/2x, what is the value of (f/g)(5)?
Vesna [10]
1. The value of (cd)(x) is equal to the product of c(x) and d(x) which is equal to,
                                         5(x + 3) / (x - 2)
The function can take all real numbers except 2 because that would make the denominator 0. 

2. To answer, substitute first 5 to the given functions,
                      f(x) = 7 + 4x = 7 + 4(5) = 27
                      g(x) = 1/2x = 1 / (2)(5) = 1/10
Dividing 27 by 1/10 is 270.
3 0
4 years ago
Read 2 more answers
the sum of three numbers is 90. the third number is 4 times the first. the second number is 6 less than the first. what are the
igor_vitrenko [27]

Answer: 16, 10, 64

Step-by-step explanation:

64/4=16, so the 3rd number is 4x the first.

16-6=10. 6 less than the first number.

16+10+64=90.

4 0
3 years ago
`bar(JK)` is dilated by a scale factor of n with the origin as the center of dilation, resulting in the image `bar(J'K')`. The s
dalvyx [7]

Answer:

Length of Bar JK=l

Bar (JK) is dilated by a scale factor of n, having origin as the center of dilation.

New line segment formed named  bar (J'K').

As given slope of bar(JK) =m

When we dilate a line segment with respect to origin , having origin as the center of dilation, there is no effect of slope on Dilation.

Length of bar (J'K')= (Length of bar JK)×(Scale factor)

                             = l×n Or n×l

Option (D) is correct.

                           




7 0
3 years ago
Read 2 more answers
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