1answer.
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
sesenic [268]
3 years ago
5

the sum of 4 consecutive even numbers is 92 . Write an equation in which x represents the smallest of these 4 numbers . Then sol

ve for x .
Mathematics
1 answer:
Svet_ta [14]3 years ago
8 0
Let x = the first even number
x + 2 the second
x + 4 the third
x + 6 the fourth
Add together.
x + x + 2 + x + 4 + x + 6 = 92
Combine like terms.
4x + 12 = 92
Subtract 12 from both sides
4x = 80
Divide both sides by 4
x = 20
You might be interested in
What is the name of this polygon?
Aleksandr [31]

Answer:

i believe it is a hexagon, since it has 5 sides

7 0
2 years ago
Read 2 more answers
Explain how to find the volume of any composite figure.
snow_tiger [21]

Answer:

Step-by-step explanation:

The first composite shape is a combination of a rectangular prism and a pyramid. To find the volume of the entire shape you find the volume of each individual shape and add them together. The second figure consists of a cylinder and a hemisphere.

8 0
3 years ago
Read 2 more answers
The pizza shop sells artwork by local artists. For each piece it sells, the shop receives a 15 percent commission. The most expe
Margarita [4]

Answer:

The 15 percent commission is what the shop received.

Step-by-step explanation:

It said that the most expensive piece it ever sold was 225

not that the most money they made is 225

5 0
3 years ago
Bottles of mango juice are assumed to contain 275 milliliters of juice. There is some variation from bottle to bottle because th
pentagon [3]

Answer:

Step-by-step explanation:

The mean of the set of data given is

Mean = (275.4 + 276.8 + 273.9 + 275.0 + 275.8 + 275.9 + 276.1)/7 = 275.56

Standard deviation = √(summation(x - mean)^2/n

n = 7

Summation(x - mean)^2 = (275.4 - 275.56)^2 + (276.8 - 275.56)^2 + (273.9 - 275.56)^2 + (275.0 - 275.56)^2 + (275.8 - 275.56)^2 + (275.9 - 275.56)^2 + (276.1 - 275.56)^2 = 5.0972

Standard deviation = √(5.0972/7) = 0.85

We would set up the hypothesis test.

For the null hypothesis,

µ = 275

For the alternative hypothesis,

µ ≠ 275

This is a 2 tailed test.

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 7

Degrees of freedom, df = n - 1 = 7 - 1 = 6

t = (x - µ)/(s/√n)

Where

x = sample mean = 275.56

µ = population mean = 275

s = samples standard deviation = 0.85

t = (275.56 - 275)/(0.85/√7) = 1.74

We would determine the p value using the t test calculator. It becomes

p = 0.132

Because the p-value of 0.132 is greater than the significance level of 0.05, we would fail to reject the null hypothesis. We conclude the data does not provide convincing evidence that the mean amount of juice in all the bottles filled that day differs from the target value of 275 milliliters.

8 0
3 years ago
Find the slope of the line that passes through the points f(4) = 6 and f(-2) = 8.
leonid [27]

Answer:

slope = - \frac{1}{3}

Step-by-step explanation:

given f(4) = 6 and f(- 2) = 8 , then 2 points on the line are

(4, 6 ) and (- 2, 8 )

calculate slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, 6 ) and (x₂, y₂ ) = (- 2, 8 )

m = \frac{8-6}{-2-4} = \frac{2}{-6} = - \frac{1}{3}

6 0
2 years ago
Other questions:
  • Jimmy drove to his cabin on the lake and back. it took 0.6 hours longer to go there than it did to come back. the average speed
    12·2 answers
  • What are the solutions of x ^ 2 + 6x - 6 = 10 ? x = - 11 x = 1 x = - 11 x = - 1 x = - 8x = - 2 x = - 8x = 2
    15·1 answer
  • Solve the absolute value equation<br> algebraically: 3|2x - 3| + 2 = 3
    9·1 answer
  • 1. Find the value of (−0.024)square
    15·1 answer
  • Two buses leave a corner at the same time. One bus goes up town at a constant rate of 25mph, the other downtown at a rate of 15
    11·2 answers
  • Find the missing measures.
    9·1 answer
  • Janice is 7 years older than Tam. Complete the table, and then graph this situation.
    5·1 answer
  • Please please please please help
    12·1 answer
  • ʖ≖hi how are you and do u need help a homework?
    7·1 answer
  • Acellus
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!