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Harman [31]
3 years ago
10

Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller numbe

r is 50.
Let x be the smaller number and y be the larger number.

Create a system and graph it to find the solution.

What are the two numbers?

x =
and y =
Mathematics
2 answers:
snow_tiger [21]3 years ago
8 0
3y = 5x+30 , y+5x = 50

using elimination method ...

3y-5x=30
+ y+5x=50
——————
4y = 80
y= 20

so using one of the original equations..

20 + 5x = 50
5x = 30
x =6

x = 6
y = 20
marissa [1.9K]3 years ago
8 0

Answer:

x=6 and y=20 just took a test

Step-by-step explanation:

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A study is performed in a large southern town to determine whether the average weekly grocery bill per four-person family in the
OLga [1]

Answer:

The average weekly grocery bill per four-person family in the town is significantly different from the national average.          

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = $100

Sample mean, \bar{x} = $103.23

Sample size, n = 25

Alpha, α = 0.05

Sample standard deviation, s = $8.82

First, we design the null and the alternate hypothesis

H_{0}: \mu = 100\text{ dollars}\\H_A: \mu \neq 100\text{ dollars}

We use Two-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{103.23- 100}{\frac{8.82}{\sqrt{25}} } = 1.831

Now,

t_{critical} \text{ at 0.05 level of significance, 24 degree of freedom } = \pm 2.063

Since,                

t_{stat} < t_{critical}

We accept the null hypothesis.

We accept the null hypothesis and determine that the average weekly grocery bill per four-person family in the town is significantly same to the national average.

4 0
3 years ago
Read 2 more answers
Simplify the expression (3 1/4) ^2 to demonstrate the power property
aev [14]

(3 1/4)^2 = (13/4)^2 = 10 9/16

4 0
3 years ago
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A large rectangle has length a + b and width c + d. Therefore, its area is (a + b)(c + d).
melamori03 [73]

Answer:

The area of four small rectangles are ac, bc, ad and bd.

6 0
4 years ago
Anita invested $6000, some at 5% and the rest at 6%. If the yearly income is $337.50, what is the amount invested at each rate?
Pepsi [2]

Let the amount invested with 5% interest be x

Therefore, the amount invested with 6% interest will be (6000-x)

It is given that the total interest earned yearly is $337.5. Thus, the equation of interest will be:

\frac{5}{100}x+\frac{6}{100}(6000-x)=337.5

Multiplying both sides by 100 we get:

5x+6(6000-x)=33750

5x+36000-6x=33750

Subtracting both sides by 36000 we get:

-x=-2250

\therefore x=2250

Thus, the amount invested at 5% is $2250

Therefore, the amount invested at 6% will be $(6000-2250)=$3750

6 0
3 years ago
Arturo is
Brums [2.3K]

Answer:

<u>Yes</u>

Step-by-step explanation:

<u>When there are 2 rows</u>

  • Number of erasers per row =  No. of erasers / No. of rows
  • Number of erasers per row = 18/2
  • Number of erasers per row = 9

<u>When there are 3 rows</u>

  • Number of erasers per row =  No. of erasers / No. of rows
  • Number of erasers per row = 18/3
  • Number of erasers per row = 6

<u>Therefore, there will be more erasers per row in 2 equal rows than in 3 equal rows.</u>

7 0
2 years ago
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