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blagie [28]
3 years ago
12

Which system of equations has the same solution as the system below?

Mathematics
1 answer:
zepelin [54]3 years ago
6 0
2x + 2y = 16 ⇒ 2x + 2y = 16
3x -  1y =   4 ⇒ 6x -  2y =   8
                                 8x = 24
                                  8      8
                                   x = 3
                         2x + 2y = 16
                       2(3) + 2y = 16
                           6 + 2y = 16
                         - 6           - 6
                                 2y = 10
                                  2      2
                                   y = 5
                             (x, y) = (3, 5)
The systems of equations that has the same solution as the system is one common solution.
You might be interested in
A molecule of sodium carbonate contains 2 atoms of sodium to every 3 atoms of oxygen. Could a compound containing 12 atoms of so
artcher [175]

Answer:

No, a compound containing 12 atoms of sodium and 15 atoms of oxygen could not be sodium carbonate. When its ratio of atoms is reduced to the lowest terms, it is not the same as sodium carbonate. 4:5 ≠ 2:3

Step-by-step explanation:

Use ratios to solve this problem.

In sodium carbonate, the ratio for the number of atoms for sodium to oxygen (sodium:oxygen) is 2:3.

Check if the ratio for the compound with the ratio 12:15 is equal to 2:3.

Reduce the ratio 12:15 to lowest terms, just like how you would reduce a fraction. Find the GCF (greatest common factor). The left and right sides are both divisible by 3.

12/3 = 4

15/3 = 5

The ratio in the compound is 4:5.

4:5 ≠ 2:3

Since the ratios are not the same, the compound is not sodium carbonate.

3 0
4 years ago
Two classrooms are sharing seven packages of unit cubes if the packages are split evenly how many packages with each classroom r
vladimir1956 [14]
We have two classrooms and seven packages.

This means we need to divide the seven packages in half (two pieces).

7packages ÷ 2 classrooms = 7/2 = 3.5 packages per class
(three and a half packages)
8 0
3 years ago
Name
Eddi Din [679]

Answer:

104 Inches

Step-by-step explanation:

Alyssa's blanket contains 7 pink stripes and 6 white  stripes.

Total Number of Stripes =7+6=13

Since each stripe is 8 inches wide.

The width of Alyssa's blanket will be the product of the number of stripes by the width of each stripe.

Therefore:

Width = 13 X 8 Inches =104 Inches

Alyssa's blanket is 104 Inches wide.

4 0
3 years ago
The distance that a Tesla model 3 can travel is normally distributed with a mean of 260 miles and a standard deviation of 25 mil
Alja [10]

Answer:

2.28% probability that a randomly selected Tesla model 3 can travel more than 310 miles

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 260, \sigma = 25

What is the probability that a randomly selected Tesla model 3 can travel more than 310 miles?

This is 1 subtracted by the pvalue of Z when X = 310. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{310 - 260}{25}

Z = 2

Z = 2 has a pvalue of 0.0228

2.28% probability that a randomly selected Tesla model 3 can travel more than 310 miles

3 0
3 years ago
Someone please help me
Free_Kalibri [48]
D. y = 3x + 2

Check (-4, -10)
-10 = 3(-4) + 2
-10 = -12 + 2
-10 = -10 :)

Check (-3, -7)
-7 = 3(-3) + 2
-7 = -9 + 2
-7 = -7 :)

Check (-2, -4)
-4 = 3(-2) + 2
-4 = -6 + 2
-4 = -4 :)

Check (-1, -1)
-1 = 3(-1) + 2
-1 = -3 + 2
-1 = -1 :)

Check (0, 2)
2 = 3(0) + 2
2 = 0 + 2
2 = 2 :)
4 0
3 years ago
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