All categories

3 years ago

Identify the values that create ordered pairs that are solutions to the equation 3x - 5y = 20.

Mathematics

2 answers:

Katena32 [7]3 years ago

5 0

X=10 Y=1

thats your answer hope it helps ;P

melisa1 [442]3 years ago

4 0

3x - 5y = 20

(5; y) - put x = 5 to the equation

3 · 5 - 5y = 20
15 - 5y = 20 |-15
-5y = 5 |:(-5)
y = -1

Answer: (5; -1)

(x; 2) - put y = 2 to the equation

3x - 5 · 2 = 20
3x - 10 = 20 |+10
3x = 30 |:3
x = 10

Answer: (10; 2)

You might be interested in

the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati

luda_lava [24]

Answer:

The standard deviation of the data set is $\sigma = 12.7906$ .

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

$\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}$

we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }$

Step 1: Find the mean $\left( \overline{X} \right)$ .

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}$

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6$

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 1472.4$

Step 4: Calculate σ using the above formula.

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} } = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906$

3 0

3 years ago

Find the slope-intercept form of the equation of the line that has the given properties (m is the slope). passes through (2, 2);

Mkey [24]

Y = -1x+b
replace x and y to find b
2 = -1*2+ b
b = 4

Final:
y = -1x + 4

7 0

2 years ago

Solve 5w^2+25=115, Where w is a real number.

MArishka [77]

Answer:

w=+/-4.24 or whatever could be either since its squared

Step-by-step explanation:

subtract 25 so 5x^2=90. divide by 5 so w^2=18 then square root to get rid of the ^2 so w=+/-4.24

4 0

2 years ago

The price of oil, in dollars per barrel, declined last week by 3.5%. If it started the week at 102.00 per barrel, at what per ba

scoray [572]

Answer:

98.57

Step-by-step explanation:

3.5% over 100% X 102=3.43

102-3.43= 98.57

6 0

3 years ago

Fran has 7 sheets of paper for a coloring project. If she only uses 1/3of a sheet of paper per draing how many drawings can ahe

jok3333 [9.3K]

It would be 21 because 7 times 3 equals 21 and the way you get that is 3 drawings per paper

5 0

3 years ago