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lord [1]
3 years ago
12

Jack broke apart 5×216 as (5×200) (5×16) to multiply mentally. What strategy did Jack use?

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0
Breaking the it down- simplifying
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If a is directly proportional to b, and a = 25 when b = 35, find b when a = 40
koban [17]

If a is directly proportional to b, we have the relationship to be:

\begin{gathered} a\propto b \\ \therefore \\ a=kb \\ where \\ b=constant \end{gathered}

When a = 25, b = 35. Therefore, we can calculate the value of k as follows:

\begin{gathered} 25=35k \\ k=\frac{25}{35} \\ k=\frac{5}{7} \end{gathered}

Therefore, the relationship is given to be:

a=\frac{5}{7}b

When a = 40, we can calculate the value of b to be:

\begin{gathered} 40=\frac{5}{7}b \\ 40\times7=5b \\ 5b=280 \\ b=\frac{280}{5} \\ b=56 \end{gathered}

The value of b is 56.

7 0
1 year ago
If the relationship is proportional, what is the missing value from the table? x y –3 –1 –12 ? –30 –10 –8 –6 –5 –4
Ann [662]

Answer:

-4

Step-by-step explanation:

I got it wrong and it showed me the answer.

7 0
3 years ago
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Find the common ratio of the geometric sequence -20, 140, -980, ...
aksik [14]

Answer:

-7

Step-by-step explanation:

-20  × -7 = 140

140 × -7 = -980

3 0
3 years ago
Which of the following are factors of x^2+5x+4
soldier1979 [14.2K]

Answer:

(x + 4) and (x + 1)

Step-by-step explanation:

x² + 5x + 4

Consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (+ 5)

The factors are 4 and 1 , since

4 × 1 = 4 and 4 + 1 = 5 , then

x² + 5x + 4 = (x + 4)(x + 1) ← in factored form

3 0
2 years ago
Angle x is conterminal with angle y. If the measure of angle x is greater than the measure of angle y, which statement is true r
fiasKO [112]

9514 1404 393

Answer:

  x = y + 360n, for any positive integer n

Step-by-step explanation:

Since x is greater than y, something must be added to y to get x. Angles have the same co-terminal ray at multiples of 360°. Then the amount added to y must be some multiple of 360°:

  x = y + 360n . . . . . for positive integer n

8 0
3 years ago
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