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jekas [21]
2 years ago
11

Now Cathy is three times as old as Katie. In six years Cathy will be only twice as old as Katie. How old is each girl now?

Mathematics
1 answer:
klasskru [66]2 years ago
5 0

Answer:

6 and 18

6+6=12

18+6=24

12x2=24

Unless a number is given it is mainly trial and error so guessing numbers that fit the first part of Ax3=B

Step-by-step explanation:

You might be interested in
A sociologist wishes to estimate the average number of automobile thefts in a large city per day within 2 automobiles. He wishes
anzhelika [568]

Answer:

n=(\frac{2.58(4.2)}{2})^2 =29.35 \approx 30

So the answer for this case would be n=30 rounded up to the nearest integer

Step-by-step explanation:

Information given

ME = 2 the margin of error desired

\sigma =4.2 standard deviation from previous studies

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =2 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance level is \alpha=0.01 and the critical value would be z_{\alpha/2}=2.58, replacing into formula (b) we got:

n=(\frac{2.58(4.2)}{2})^2 =29.35 \approx 30

So the answer for this case would be n=30 rounded up to the nearest integer

5 0
2 years ago
Given: Quadrilateral PQRS is a rectangle. Prove: PR = QS Reason Statement 1. Quadrilateral PQRS is a rectangle. given 2. Rectang
Alex73 [517]

Answer:

Step-by-step explanation:

Given:  Quadrilateral PQRS is a rectangle.

To prove: PR = QS

Proof: 1.  Quadrilateral PQRS is a rectangle(Given).

2. Rectangle PQRS is a parallelogram (Definition of a rectangle).

3. QP ≅ RS QR ≅ PS (Opposite angles of parallelogram are equal).

4. m∠QPS = m∠RSP = 90° (definition of a rectangle)

5. Δ PQS ≅ ΔSRP (SAS criterion for congruence)

6. PR ≅ QS (Corresponding sides of congruent triangles are congruent).

7. PR = QS (Congruent line segments have equal measures).

6 0
2 years ago
Read 2 more answers
The average rate of change from x = 0 to x = 15 is about −4.667. How does the average rate of change from x = 0 to x = 20 compar
Amanda [17]
First we calculate the ambio rate from x = 0 to x = 15:
 We have:
 R = ((80-10) / (0-15))
 R = -4.666666667
 We now calculate for the entire interval:
 from x = 0 to x = 20:
 R = ((80-2) / (0-20))
 R = -3.9
 Answer:
 What is the average rate of change over the entire slide?
 R = -3.9
 The average rate of change from x = 0 to x = 15 is about -4.667. How does the average rate change from x = 0 to x = 20 compare to this number?
 The percentage difference is:
 (-3.9 / -4.666666667) * (100) = 83.57142857%
 100-83.57142857 = 16.42857143%
6 0
2 years ago
Suppose that a new company has five employees: Zamora, Agraharam, Smith, Chou, and Macintyre. Each employee will assume one of s
Sliva [168]

Answer:

Step-by-step explanation:

Before constructing bipartite graph, we need to have the responsibilities of each person sorted out first. I listed it in dash form for easy reading

Zamora

- planning,

- sales, marketing

- industry relations

Agraharam:

- planning

- development

Smith

- publicity,

- sales,

- industry relations

Chou

- planning,

- sales,

- industry relations

Macintyre

- planning,

- publicity,

- sales,

- industry relations

After we are done with that, we can start constructing the bipartite graph by making two column or two rows of group, one is for the person and the other is for responsibilities.

Later, we start match up each person to the responsibilities that assigned to them.

I attached the bipartite graph for this question as well.

3 0
2 years ago
Read 2 more answers
El producto de dos números consecutivos es 552 cuáles son esos números?
lara31 [8.8K]

Answer: 23 y 24 ( ó -23 y -24)

Step-by-step explanation:

Dos números consecutivos se escriben como:

n y (n + 1)

done n es un numero entero.

Entonces "El producto de dos números consecutivos es 552"

Se escribe como:

n*(n + 1) = 552

n^2 + n = 552

n^2 + n - 552 = 0

Tenemos una cuadrática, las posibles soluciones son obtenidas con la formula de Bhaskara.

n = \frac{-1 +- \sqrt{1^2 - 4*1*(-552)} }{2} = \frac{-1 +- 47}{2}

Las dos soluciones son.

n = (-1 - 47)/2 = -48/2 = -24

n = (-1 + 47)/2 = 46/2 = 23

Si tomamos la primer solución, n = -24

Entonces los dos números consecutivos son:

n = -24

(n + 1) = -23

Si n = 23 entonces

n + 1 = 24

Lo cual tiene sentido, por que lo único que cambia son los signos, los cuales se cancelarían en la multiplicación.

7 0
2 years ago
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