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nikdorinn
8 days ago
11

Jessica is 5 years older than her sister Jenna. Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 year

s ago. If Jenna’s age is x, which equation represents the situation? How many solutions does the equation have?
Mathematics
1 answer:
Leona [9.2K]8 days ago
6 0
The equations 1, 3, 4, and 5 mentioned have solutions. The situation is described by the following equations: 1. x + 5 = (5 − x) − 5, which has a single solution; 2. x + 5 = (x + 5) − 5, which has infinitely many solutions; 3. x + 5 = (x + 5) − 5, resulting in no solutions; 4. x + 5 = (5 − x) − 5, which has multiple solutions; and 5. (x + 5) + 5 = (x + 5) + 5, which has many solutions. Notably, equation 2 does not yield any solution, while the remaining equations produce one or more solutions.
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According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 9x4 – 2x2 – 3x + 4?
Zina [9171]
The correct option is the first one - refer to the image for the solution:

6 0
20 days ago
Read 2 more answers
.580 80 repeating as fraction
Svet_ta [9500]
To start, we will shift the non-repeating segment of the decimal to the left side by dividing by a power of 10.

Then we will assign a variable to represent the value and also shift the repeating segment to the left.

Essentially, the concept here is that we can denote the repeating portion with a variable, let's say "x", and move forward with the calculation;

\bf 0.580\overline{80}\implies \boxed{\cfrac{5.80\overline{80}}{10}}\qquad \textit{now, let's say }x= 5.80\overline{80}\\\\
-------------------------------

\bf thus\qquad \begin{array}{llll}
100\cdot x&=&580.80\overline{80}\\
&&575+5.80\overline{80}\\
&&575+x
\end{array}\qquad \implies 100x=575+x
\\\\\\
99x=575\implies x=\cfrac{575}{99}\qquad therefore\qquad \boxed{\cfrac{5.80\overline{80}}{10}}\implies \cfrac{\quad \frac{575}{99}\quad }{10}
\\\\\\
\cfrac{\quad \frac{575}{99}\quad }{\frac{10}{1}}\implies \cfrac{575}{99}\cdot \cfrac{1}{10}\implies \cfrac{575}{990}\implies \stackrel{simplified}{\cfrac{115}{198}}

you can verify that using your calculator.
4 0
4 days ago
Read 2 more answers
Chiang is filling a 50ft container with water at a rate of 0.5 ft/ min. interpret the key features for this situation
Leona [9271]

Answer:

The main aspects are

50ft³ = volume

0.5ft³/min = filling rate

Time= 100 minutes

Step-by-step breakdown:

Chiang is in the process of filling a 50ft container with water at a speed of 0.5 ft/min.

50ft³ = volume

0.5ft³/min = flow rate

It’s important to note that we still need to determine how long it will take to fill the 50 ft³ container.

Time = volume / rate

Time = 50 ft³ / 0.5 ft³/min

Time = 50 / 0.5 min

Time = 100 min

The main aspects are

50ft³ = volume

0.5ft³/min = filling rate

Time= 100 minutes

7 0
1 month ago
The table shows the estimated number of lines of code written by computer programmers per hour when x people are working. A 2-co
tester [8842]

Answer:

Crearemos una tabla con estos valores según diferentes valores de x.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27        150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Por lo tanto, la función que mejor representa los datos es:

Opción C.

y=26.9x-1.3

Explicación paso a paso:

4 0
1 month ago
In a hospital, there are 250 registered nurses. 100 of the nurses are males. What is the ratio of male nurses to female nurses i
lawyer [9240]

Answer:

The male to female nurse ratio in simplest form is: 2:5

Step-by-step explanation:

Fact: A hospital has a total of 250 registered nurses.

Total number of male nurses is 100

Total number of female nurses is 250 - 100 = 150 [Total nurses minus number of male nurses]

To determine the ratio of male to female nurses in simplest terms;

A ratio indicates the relative proportions of two or more quantities.

Thus,

\frac{Number of male nurses}{Number of female nurses} = \frac{100}{250}

or

= \frac{100}{250} =\frac{10}{25} =\frac{2}{5} = 2:5

Consequently, the male to female nurses ratio in simplest form is; 2:5

7 0
19 days ago
Read 2 more answers
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