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
NARA [144]
2 years ago
14

A garden table and a bench cost $659 combined. The garden table costs $91 less than the bench. What is the cost of the bench? (P

lease help)
Mathematics
2 answers:
Aloiza [94]2 years ago
5 0

Answer:

$294

Step-by-step explanation:

Garden table = x

bench = x-91

x + (x-91) = 659

2x = 750

x= 375

375 - 91 = 284

Gemiola [76]2 years ago
4 0
Okay lets say that the bench is B
B + B-91 = 659
2B -91 = 659
Add 91 to both sides of the equation to isolate the 2B
2B - 91 + 91 = 659 + 91
2B = 750
Divide both sides by 2 to get 1B
2B ÷ 2 = 750 ÷ 2
B is 375
Therefore the bench was $375 and the garden table was $284.
You might be interested in
Round to the nearest hundredth (Geometric Series problem)
WITCHER [35]

Answer:

15.98

Step-by-step explanation:

∑₁¹⁰ 8(\frac{1}{4} )^{n-1}

=8[1+\frac{1}{4} +\frac{1}{16} + ........ +t_{10}]

We have to use the formula of sum of a G.P. series with common ratio r < 1.

If the first term is a, the common ratio is r and the number of terms is n then the sum [a + ar + ar² + ar³ + ......... up to n terms] is given by  

[a \times\frac{1-r^{n} }{1-r}]

= 8[1 \times \frac{1-\frac{1}{2^{10} } }{1-\frac{1}{2} } ]

= 15.98 (Answer)

4 0
2 years ago
A journal article reports that a sample of size 5 was used as a basis for calculating a 95% CI for the true average natural freq
oksano4ka [1.4K]

Answer:

Lower = 231.134- 3.098=228.036

Upper = 231.134+ 3.098=234.232

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n=5 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

And for this case we know that the 95% confidence interval is given by:

\bar X=\frac{233.002 +229.266}{2}= 231.134

And the margin of error is given by:

ME = \frac{233.002 -229.266}{2}= 1.868

And the margin of error is given by:

ME= t_{\alpha/2} \frac{s}{\sqrt{n}}

The degrees of freedom are given by:

df = n-1 = 5-1=4

And the critical value for 95% of confidence is t_{\alpha/2}= 2.776

So then we can find the deviation like this:

s = \frac{ME \sqrt{n}}{t_{\alpha/2}}

s = \frac{1.868* \sqrt{5}}{2.776}= 1.506

And for the 99% confidence the critical value is: t_{\alpha/2}= 4.604

And the margin of error would be:

ME = 4.604 *\frac{1.506}{\sqrt{5}}= 3.098

And the interval is given by:

Lower = 231.134- 3.098=228.036

Upper = 231.134+ 3.098=234.232

6 0
3 years ago
Which quadrants does the line representing the equation y=6x pass through?
emmasim [6.3K]

Answer:

1 and 3

Step-by-step explanation:

6 0
2 years ago
What is the coefficient of the second term of the expressions 3x⁴ + x²?
Paraphin [41]

Answer:

the coefficient is 1

Step-by-step explanation:

7 0
3 years ago
Apply the distributive property to simplify the expression.
Dmitry_Shevchenko [17]

Answer:

D)  - 18x  - 6

Step-by-step explanation:

- 3(6x + 2) \\  - 18x - 6

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the reciprocal of -2/3
    14·2 answers
  • The red dots mean there is an empty place to put the answer Options at the bottom.
    10·1 answer
  • Is this equation linear: 2x+5xy-3=0
    12·1 answer
  • Five and five six x 4/3
    13·1 answer
  • A math class has 5 girls and 5 boys in the seventh grade and 5 girls and 7 boys in the eighth grade. The teacher randomly select
    11·1 answer
  • WILL MARK BRAINLIEST NEED ANSWERS NOWW 100 POINTTTSSS.
    9·1 answer
  • What is the value of the expression 9 + ( fraction 1 over 2 )4 ⋅ 48? (1 point)
    10·1 answer
  • there were a total of 16 people. children tickets cost $6 and adult tickets cost $9. She sent a total of $129. How many adults w
    7·2 answers
  • Simplify by using the distributive property and then combining like terms for the expression 7(2x+3)
    6·1 answer
  • find the formula for a rational function that satisfies all of the following. its x-intercept is (-3,0). it has a vertical asymp
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!