A worker's salary increases by 3.5%. If the raise amounts to $2450, how much was the worker being paid before the raise?

20 POINTS<br> HELP ME PLEASE<br> How many solutions does the system have

finlep [7]

Answer:

Two

Step-by-step explanation:

x² + 4 = 4x + 1

x² - 4x + 3 = 0

x² - 3x - x + 3 = 0

x(x - 3) - (x - 3) = 0

(x - 3)(x - 1) = 0

x = 1, 3

y = 4(1) + 1 = 5

y = 4(3) + 1 = 13

Two solutions: (1,5) (3,13)

3 0

3 years ago

You cut a 54-inch rope into four pieces. Twoof the pieces are the same length, a thirdpiece is twice as long as each of the twoe

antiseptic1488 [7]

Let's use the variable x to represent the length of the first and second pieces.

If the third piece has twice the length of the first and second, its length is 2x.

If the fourth piece has half the length of the first and second, its length is 0.5*x.

Adding all four pieces and equating to 54 inches, we have:

$\begin{gathered} x+x+2x+0.5x=54 \\ 4.5x=54 \\ x=\frac{54}{4.5} \\ x=12 \end{gathered}$

So the length of each piece is:

12 inches, 12 inches, 24 inches and 6 inches.

5 0

1 year ago

Brandi solved 16 / 5 by using a related multiplication expression. What multiplication expression did she is?

klemol [59]

The given question is wrong.

Question:

Brandi solved $\frac{1}{6}\div 5$ by using a related multiplication expression. What multiplication expression did she is?

Answer:

The related multiplication expression is $$\frac{1}{6}\times \frac{1}{5}$ .

Solution:

Given expression is $\frac{1}{6}\div 5$ .

We can write 5 as a fraction with denominator 1.

$$ \frac{1}{6}\div5=\frac{1}{6}\div \frac{5}{1}$

Using the fraction rule $$\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$ ,

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

Now multiply the fractions using the rule $$\frac{a}{b}\times \frac{d}{c}=\frac{a\times d}{b\times c}$ ,

$$\frac{1}{6}\times \frac{1}{5}=\frac{1\times1}{6\times5}$

Let us multiply the numbers in the numerator and denominator separately, we get

$$\frac{1\times1}{6\times5}=\frac{1}{30}$

Hence the related multiplication expression is $$\frac{1}{6}\times \frac{1}{5}$ .

8 0

3 years ago

Calculate the allele frequencies in this population of palm trees. A model consisting of a box containing fourteen, randomly arr

bogdanovich [222]

Answer:

The correct answer is

0.5 F, 0.5 f

Step-by-step explanation:

We note the following

Number of colored circles in the box = 14

Number of red circles in the box = 4

Number of purple circles in the box = 6

Number of blue circles in the box = 4

The allele frequency are as follows

Where the frequency is given as

Genotype Frequency Relative frequency

FF = Red 4 4/14 (0.29≈0.3)

Ff = Purple 6 6/14 (0.43≈0.4)

ff = Blue 4 4/14(0.29≈0.3)

Within this population,

We however have 4 FF = 8 F

6 Ff = 6 F + 6 f and

4 ff = 8 f

Total allele = 8+6+6+8 = 28

Relative frequency of F = (8+6)/28 = 14/28 = 0.5

relative frequency of f = (8+6)/28 = 0.5

Therefore the allele frequencies in the palm tree population is

0.5 F, 0.5 f

When in equilibrium we have

However the FF has the product of F×F which is = F² = 0.29 so the frequency of F = √(0.29) = 0.535≈ 0.5

The frequency of Ff is Ff or fF = 0.43 since there is equal number of each allele in Ff we have fF or Ff = Ff = 0.43

Which hives 0.43/2 = F =f ≈ 0.2

To

and ff = 0.29 so that f = 0.535 ≈ 0.5

Therefore f = F = 0.5 + 0.2 = 0.7

5 0

3 years ago

GEOMETRY! The diagram shows 5 ft student standing near a tree. The shadow of the student and the shadow of the tree end at point

yuradex [85]

Answer: 24.99 ft

Step-by-step explanation:

1. You can find the angle A as following:

$A=arctan(\frac{5}{8})\\A=32\°$

2. Now, you can calculate the height of the tree as following:

$tan(A)=\frac{opposite}{adjacent}$

Where:

A=32°

opposite=x

adjacent=40

3. When you substitute values and solve for x, you obtain that the height of the tree in feet is:

$tan(A)=\frac{x}{40}\\x=40*tan(32\°)\\x=24.99$

8 0

3 years ago