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2 years ago

Write the sum of 18+27 as the product of their gcf and another sum

Mathematics

2 answers:

Serjik [45]2 years ago

4 0

One possible answer is:

9×(2+3)

Explanation:

First we find the sum of 18 and 27. 18+27 = 45.

Next we find the GCF of 18 and 27. We do this by finding the prime factorization of each:

18 = 2*9

9 = 3*3

Thus, 18 = 2*3*3.

27 = 3*9

9 = 3*3

Thus, 27 = 3*3*3

We want the common factors; there are 2 3's in common, so 3*3 = 9 is the GCF. This makes the product 9×( ). The missing number would be 5, since 9*5 = 45. Writing this as a sum, we can use 2+3; this gives us 9×(2+3).

hjlf2 years ago

3 0

Factors of 18: 1; 2; 3; 6; 9; 18

Factors of 27: 1; 3; 9; 27

GCF(18; 27) = 9

18 + 27 = 9 × 2 + 9 × 3 = 9 × (2 + 3)

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Inessa05 [86]

Answer:

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C is cost; S is number of tons transported

Equation relating C to S would be a linear equation like y = mx + b

C = 125S + $3750

This equation would be graphed in the first quadrant only

you would start with your y-intercept at (0, 3750)

As x increases by 1, your y increases by 125 yielding these points:

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This shows that for each increase by one ton of sugar, the cost goes up $125

Step-by-step explanation:

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2 years ago

I need to know if it’s A B C OR D

Liula [17]

SOLUTION

Consider the property, opposite angle of a cyclic quadrilateral are supplementary

hence

$\angle NMP+\angle NOP=180^0$

Recall that

$\begin{gathered} \angle NMP=\angle M=(8x-24)^0 \\ \text{and } \\ \angle NOP=\angle O=(4x)^0 \end{gathered}$

Hnece, we have that

$\begin{gathered} \angle M+\angle O=180^0(opposite\text{ angles of a cyclic quadrilateral)} \\ (8x-24)^0+4x^0=180^0 \end{gathered}$

Then

$\begin{gathered} 8x-24+4x=180 \\ 8x+4x-24=180 \\ 12x-24=180 \\ \text{Add 24 t o both sides } \\ 12x-24+24=180+24 \\ 12x=204 \\ \text{divide both sides by 12} \\ \frac{12x}{12}=\frac{204}{12} \\ \text{Then} \\ x=17 \end{gathered}$

Hence

x=17

Since

$\begin{gathered} \angle NOP=(4x)^0 \\ \text{substitute the value of x, we have } \\ \angle NOP=4\times17=68^0 \\ \text{Hence } \\ \angle NOP=68^0 \end{gathered}$

Therefore

The measure of angle NOP is 68⁰

Answer; 68⁰ (The fourth Option )

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1 year ago

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viktelen [127]

Answer:

7.5

Step-by-step explanation:

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2 years ago

Regular hexagon ABCDEF is inscribed in circle O. Find the measure of each arc and angle.

inessss [21]

Answer:

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Measurement of arc AB: 60

Step-by-step explanation:

I got it right on my test

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1 year ago

POSSIBLE POINTS: 5.26

azamat

Answer:

<h3>The volume is 144.</h3>

Step-by-step explanation:

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Hope this helps you.

6 0

2 years ago