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3 years ago

Use compatible number to find two estimates 17 divided by 1,569

Mathematics

2 answers:

Kipish [7]3 years ago

8 0

Answer:

The estimated value is 0.01.

Step-by-step explanation:

Given : 17 divided by 1,569.

To find : Use compatible number to find two estimates ?

Solution :

Compatible numbers are pairs of numbers that are easy to add, subtract, multiply, or divide mentally.

Estimation is to approximate a calculation.

Estimating the number 17 is 20.

Estimating the number 1569 is 2000.

Substituting the values,

20 divided by 2000,

$\frac{20}{2000}=\frac{1}{100}=0.01$

Therefore, The estimated value is 0.01.

Bess [88]3 years ago

6 0

The answer to that problem is 0.011

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A line passes through the points (2,4) and (5,6) .

Alenkinab [10]

Answer:

Option B and D are correct.

Step-by-step explanation:

Given: A line passes through the points (2,4) and (5,6).

* Case 1:

If a line passes through the points (2, 4) and (5, 6)

Point slope intercept form:

for any two points $(x_1,y_1)$ and $(x_2, y_2)$

then the general form $y -y_1=m(x-x_1)$ for linear equations where m is the slope given by:

$m =\frac{y_2-y_1}{x_2-x_1}$

First calculate slope for the points (2, 4) and (5, 6);

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{6-4}{5-2} = \frac{2}{3}$

then, by point slope intercept form;

$y-4=\frac{2}{3}(x-2)$

* Case 2:

If a line passes through the points (5, 6) and (2, 4)

First calculate slope for the points (5, 6) and (2, 4);

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-6}{2-5} = \frac{-2}{-3}= \frac{2}{3}$

then, by point slope intercept form;

$y-6=\frac{2}{3}(x-5)$

Yes, the only equation of line from the given options which describes the given line are;

$y-4=\frac{2}{3}(x-2)$ and $y-6=\frac{2}{3}(x-5)$

8 0

3 years ago

Jonah’s Restaurant reports net income of $20,000 during the year 2015. It distributes a dividend of $6,000 to its shareholders.

AlekseyPX

Retention ratio = (net income - dividends) / net income

retention ratio = (20,000 - 6000) / 20000 = 14,000/20,000 = 0.7 = 70%

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3 years ago

The number of E.coli bacteria cells in a pond of stagnant water can be represented by the function below, where A represents the

liq [111]

Answer:

<u>Option B. 59%</u>

Explanation:

The function that represents the number of E.coli bacteria cells per 100 mL of water as the time t years elapses is:

$A(t)=136(1.123)^{4t}$

The base, 1.123, represents the multiplicative constant rate of change of the function, so you just must substitute 1 for t in the power part of the function:

$rate=(1.123)^{4t}=(1.123)^4=1.590$

Then, the multiplicative rate of change is 1.590, which means that every year the number of E.coli bacteria cells per 100 mL of water increases by a factor of 1.590, and that is 1.59 - 1 = 0.590 or 59% increase.

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3 years ago

This writing prompts is hard

Solnce55 [7]

A.) Simplifying the equation would lead you to 15x^2-3x+9

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3 years ago

The cost of a candy bar in a vending machine is $0.95. The cost of a bottle of water in the same machine is $1.25. Jamie has $25

den301095 [7]

Answer:

The answer is $16.45

Step-by-step explanation:

First, you have to multiply $0.95 x 9 = $8.55

Then, you have to subtract $25.00-$8.55 = $16.45

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3 years ago