Digit thousands place 751,486

Mathematics

2 answers:

NeTakaya3 years ago

7 0

The 1 would be the thousands place

kolbaska11 [484]3 years ago

6 0

The 1 in the 4th place

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Create an expression to represent the following<br><br> (picture is included below)

zheka24 [161]

Answer:

7) x + 0.09x, where x is the price of the car

8) x + 0.05x where x is the price of clothing

9) It will take michael about 9.14 minutes to eat 32 cookies.

Step-by-step explanation:

7) 9% of x is the same as 0.09x, so you can write this:

x + 0.09x, where x is the price of the car

8) same thing for this one

x + 0.05x where x is the price of clothing

9) michael can eat cookies at a rate of 21 cookies per 6 minutes, or $\frac{21}{6}$

Because he will be eating them at the same pace, you can write an equation and solve for the variable:

$\frac{21}{6}$ = $\frac{32}{y}$

cross multiply the proportion:

21 × y = 32 × 6

solve:

21y = 192

y ≈ 9.14

It will take michael about 9.14 minutes to eat 32 cookies.

This works because they both simplify to 3.5 cookies per minute

$\frac{21}{6}$ = 3.5

$\frac{32}{9.14}$ = 3.5

6 0

3 years ago

express the numbers eight, fifteen and seventeen in base 2. I have forgotten how to do the base 2 question.

saw5 [17]

The quickest way for converting small numbers like this to binary would probably be to find the closest power of 2, then add/subtract intermediate powers of 2 as needed.

Converting 8 is immediate, since it's already a power of 2:

$8=2^3\implies 8_{10}=1000_2$

Converting 15 and 17 is also pretty easy if you're familiar with the rules of arithmetic in binary.

$15=16-1=2^4-2^0\implies 15_{10}=16_{10}-1_{10}=10000_2-1_2=1111_2$

$17=16+1=2^4+2^0\implies 17_{10}=10000_2+1_2=10001_2$