All categories

3 years ago

A number divided by 35 has a quotient of 8 with a remainder of 9? What is the number?

Mathematics

2 answers:

Trava [24]3 years ago

8 0

788

I don't really know how to explain it.

marissa [1.9K]3 years ago

7 0

Answer: 311.5

Step-by-step explanation: 35*8.9=311.5

311.5/35=8.9

You might be interested in

At a pizza Parlour, you can order single, double, triple cheese in the crust. You also have the option to include ham, olives, p

ki77a [65]

Answer:

381 different types of pizza (assuming you can choose from 1 to 7 ingredients)

Step-by-step explanation:

We are going to assume that you can order your pizza with 1 to 7 ingredients.

If you want to choose 1 ingredient out of 7 you have 7 ways to do so.

If you want to choose 2 ingredients out of 7 you have C₇,₂= 21 ways to do so

If you want to choose 3 ingredients out of 7 you have C₇,₃= 35 ways to do so

If you want to choose 4 ingredients out of 7 you have C₇,₄= 35 ways to do so

If you want to choose 5 ingredients out of 7 you have C₇,₅= 21 ways to do so

If you want to choose 6 ingredients out of 7 you have C₇,₆= 7 ways to do so

If you want to choose 7 ingredients out of 7 you have C₇,₇= 1 ways to do so

So, in total you have 7 + 21 + 35 + 35 + 21 +7 + 1 = 127 ways of selecting ingredients.

But then you have 3 different options to order cheese, so you can combine each one of these 127 ways of selecting ingredients with a single, double or triple cheese in the crust.

Therefore you have 127 x 3 = 381 ways of combining your ingredients with the cheese crust.

Therefore, there are 381 different types of pizza.

3 0

3 years ago

Jenny makes 5 out of every 6 foul throw shots she attempts. If she missed 36 foul throw

sergeinik [125]

Answer:

216

Step-by-step explanation:

If she makes 5/6 foul throw shots, she misses 1/6;

So, if she misses 36 foul shots missed, she attempts 6 times as many;

Therefore, we just need to multiply 36 by 6:

36×6 = 216

6 0

2 years ago

Which expression is 7 times as large as 596 + 88?

Tasya [4]

The answer is choice c

5 0

2 years ago

A simple random sample of size nequals81 is obtained from a population with mu equals 83 and sigma equals 27. (a) Describe the

Ivanshal [37]

Answer:

a) $\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

b) $z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

c) $z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

d) $z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

Step-by-step explanation:

For this case we know the following propoertis for the random variable X

$\mu = 83, \sigma = 27$

We select a sample size of n = 81

Part a

Since the sample size is large enough we can use the central limit distribution and the distribution for the sampel mean on this case would be:

$\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

Part b

We want this probability:

$P(\bar X>89)$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 89 we got:

$z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

Part c

$P(\bar X$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 75.65 we got:

$z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

Part d

We want this probability:

$P(79.4 < \bar X < 89.3)$

We find the z scores:

$z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

8 0

3 years ago

In the diagram of circle K, tangents are drawn from point A to points B and C on the circle. If arc mBC = 96, then what is the m

rjkz [21]

Answer:

∠A = 84°

Step-by-step explanation:

Since AB and AC are tangent to the circle, ∠ABK = 90° and ∠ACK = 90°.

Angles of a quadrilateral add up to 360°, so:

∠A + 90° + 90° + 96° = 360°

∠A = 84°

8 0

3 years ago