All categories

3 years ago

Compute the sum of all nine 2-digit numbers with a ones digit of 6.

Mathematics

2 answers:

serg [7]3 years ago

8 0

Answer: 504

Step-by-step explanation:

oksian1 [2.3K]3 years ago

3 0

Answer:504

Step-by-step explanation:

You might be interested in

jose has $12.80 in nickels and dimes. there are a total of 144 coins. how many nickels and dimes are there

Nastasia [14]

There are 32 nickels and 112 dimes. Hope this helps.

6 0

2 years ago

A bag contains counters that are red, black , or green . 1/3 of the counters are red 1/6 of the counters are black There are 15

Nadya [2.5K]

Answer:

There are 5 black counters in the bag.

Step-by-step explanation:

15 green counters in the bag

The proportion of green counters is given by:

$p = 1 - (\frac{1}{3} + \frac{1}{6}) = 1 - (\frac{2}{6}+\frac{1}{6}) = 1 - \frac{3}{6} = 1 - \frac{1}{2} = \frac{2}{2} - \frac{1}{2} = \frac{1}{2}$

So, we have that, the total is x. So

$\frac{x}{2} = 15$

$x = 30$

There are 30 total counters.

How many black counters are in the bag ?

A sixth of the counters are black. So

$\frac{1}{6} \times 30 = \frac{30}{6} = 5$

There are 5 black counters in the bag.

8 0

3 years ago

What is the polynomial function of lowest degree with lead coefficient 1 and roots 1 and 1 + i? f(x) = x2 – 2x + 2 f(x) = x3 – x

konstantin123 [22]

Answer:

$f(x)=x^{3}-3x^{2} +4x-2$

Step-by-step explanation:

we know that

The conjugate root theorem states that if the complex number a + bi is a root of a polynomial P(x) in one variable with real coefficients, then the complex conjugate a - bi is also a root of that polynomial

In this problem we have that

The polynomial has roots 1 and (1+i)

by the conjugate root theorem

(1-i) is also a root of the polynomial

therefore

The lowest degree of the polynomial is 3

$f(x)=a(x-1)(x-(1+i))(x-(1-i))$

Remember that

The leading coefficient is 1

a=1

$f(x)=(x-1)(x-(1+i))(x-(1-i))\\\\f(x)=(x-1)[x^{2} -(1-i)x-(1+i)x+(1-i^2)]\\\\f(x)=(x-1)[x^{2} -x+xi-x-xi+2]\\\\f(x)=(x-1)[x^{2} -2x+2]\\\\f(x)=x^{3}-2x^{2} +2x-x^{2} +2x-2\\\\f(x)=x^{3}-3x^{2} +4x-2$

5 0

3 years ago

Read 2 more answers

What is the midpoint (-13,4) and (0,9)

Nadusha1986 [10]

A point serves as the midpoint of a segment if it lies on the segment and it divides the segment into two congruent segments. Other notes to. So the coordinates of B and D are 4 and 10, respectively,. and the. Because AC = 9 and CE = 9 so C divides into two. 10 + 3 = 13, so the coordinate for the other endpoint is 13.

Hope this helped
heres a pug for good luck

8 0

3 years ago

Assume a normal distribution and that the average phone call in a certain town lasted 12 min with a standard deviation of 2 min

fredd [130]

Notice that:

$P(x14)_{}=1-P(x\leq14)$

Now, we use the formula for the z-score:

$z=\frac{(14-12)}{2}=1$

Then the percentage of the calls that lasted less than 10 min is 15.87%

6 0

1 year ago