answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
goldenfox
3 months ago
6

Two thirds a number plus 4 is 7

Mathematics
2 answers:
PIT_PIT [12.4K]3 months ago
5 0
Assign the variable "x" to represent the unknown number.

The equation based on the statement is:
_____________________________________
(⅔)x + 4 = 7.
_____________________________________
To solve for "x":

First, subtract "4" from both sides:

(⅔)x + 4 − 4 = 7 − 4;

which simplifies to:

(⅔)x = 3;

Next, multiply both sides by "3" to eliminate the fraction's denominator:

3 × (⅔)x = 3 × 3;

resulting in: 2x = 9;

Finally, divide both sides by "2" to isolate "x":
__________________________________________________
     (2x) / 2 = 9 / 2

x = 9/2 = "4 ½" or "4.5".
_______________________________________




zzz [12.3K]3 months ago
4 0
Let's denote the unknown number as 'n'.
The plus sign represents addition.
The word 'is' corresponds to the equals sign.

So, the expression can be written as: \frac{2}{3} n + 4 = 7
You might be interested in
The owner of a bakery wants to know whether customers have any preference among 5 different flavors of muffin. A sample of 200 c
AnnZ [12381]
Thus, there are five distinct flavors. A group of 180 individuals was surveyed. Accordingly, the null hypothesis suggests no significant difference, with each flavor receiving 180/5 = 36 counts. x^2 = \sum{\frac{(x_i)^2}{m_i}}-n. Here, mi indicates the expected frequency based on the hypothesis, which is 36, n = 180, and xi corresponds to the actual observations. By substituting the known values, we find that x^2 = 9. The level of association is expressed as \sqrt{X^2}/ \sqrt{N(n-1)}. This results in approximately 0.10, which surpasses our threshold.
8 0
2 months ago
Anumeha is mowing lawns for a summer job. For every mowing job, she charges an initial fee of $ 10 $10dollar sign, 10 plus a con
Zina [12379]

Answer:

F(t) = 10 + 5(t)

Step-by-step explanation:

The complete question is as follows;

Anumeha is mowing lawns for a summer job. For each lawn she mows, she charges a $10 starting fee plus an hourly rate. For example, her fee for a 5-hour job is $35. Let f(t) denote Anumeha's fee for a job f (in dollars) based on how many hours (t) were needed to finish it. Write the formula for this function.

Solution

We aim to establish the formula F(t) representing the fee Anumeha charges per job.

Key to formulating this function is understanding the constant charge she applies per job.

We know she earns $35 for mowing for 5 hours.

Therefore, the constant fee can be deduced as follows;

Since it’s a $10 starting fee along with an hourly rate;

35 = 10 + 5(x)

where x refers to the hourly rate

35 = 10 + 5x

5x = 35-10

5x = 25

x = 25/5

x = $5

This indicates that she charges a constant fee of $5 per hour

Thus, we can now write the equation.

F(t) = 10 + 5(t)

where t represents the number of hours spent on each job

6 0
2 months ago
Which distribution exhibits a negative skew?
zzz [12365]

<span>Skewness serves as a descriptive statistic in the analysis of data distribution. In the realm of finance and investing, skewness is considered alongside other statistics such as kurtosis and value at risk (VAR). When assessing investment returns, skewness reflects the asymmetry present in these returns. Normally distributed data sets will have a skewness of zero, whereas investment returns frequently deviate from a normal distribution. 

In graphs showcasing investment returns displaying positive skewness, this indicates that: mean > median > mode. Conversely, a negative skewness reveals the relationship: mean < median < mode. 

Evaluating skewness is crucial in reviewing investment returns, as it signals potential risks based on historical return patterns. Despite a negative skew indicating a high occurrence of smaller gains, it can also alert to the chance, albeit remote, of an extremely adverse outcome.</span>

4 0
2 months ago
Read 2 more answers
Other questions:
  • 7. Tamara goes on a spring break trip with her school to visit historical sites in Italy. She purchases $200 of souvenirs while
    10·3 answers
  • renaldo catches the bus at 4:00 onto ride 3.2 miles from his house to the dentist office. He arrives at 4:30 p.m for one hour ap
    13·1 answer
  • Jaymie wants to construct congruent angles with a compass and straightedge, while Annie wants to construct congruent segments wi
    13·1 answer
  • What is the quotient StartFraction 2 m Superscript 9 Baseline n Superscript 4 Baseline Over Negative 4 m Superscript negative 3
    7·2 answers
  • Tristan has found a good job as a bookkeeping clerk after finishing his associates degree at the local community college. He is
    7·2 answers
  • Kevin cycles 18 miles every morning as part of his exercise. The time it takes him to complete the distance varies inversely as
    12·2 answers
  • What is the average rate of change over the interval [0.75, 1.125]? Explain the meaning of the average rate of change.
    10·1 answer
  • How is a tangent different from a chord? Explain.
    11·2 answers
  • Candice spent 5 1/4 hours doing her homework. Her brother, Ronald, spent 1/2 that number of hours doing his homework. How many h
    7·2 answers
  • Sean asked 10 of his classmates the amount of their weekly allowance. He recorded the information in this table
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!