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Paha777 [63]
2 years ago
13

Solve each system of equations by substitution

Mathematics
1 answer:
In-s [12.5K]2 years ago
8 0

Answer:

1. y = 2x and x + y = 6

x+2x=6

3x=6

3x/3=6/3

x=2

2. 5x + 10y = 3 and x = -1/2y

5(-1/2y)+10y=3

-2.5y+10y=3

7.5y=3

7.5y/7.5=3/7.5

y=0.4

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The graph shows the relationship between the number of granola bars and amount of calories per bar.
castortr0y [4]

part a y= x × 100

Step-by-step explanation:

1 bar is 100 calories so you would times it by 100 for every bar

5 0
3 years ago
In a random sample of 5 residents of the state of Texas, the mean waste recycled per person per day was 1.9 pounds with a standa
sammy [17]
<h2>Answer with explanation:</h2><h2 />

The confidence interval for population mean is given by :-

\overline{x} \pm\ t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Sample size : n= 5, since n<30 , so the test we use here is t-test.

Sample mean : \overline{x}=1.9\text{ pounds}

Standard deviation: \sigma=0.89\text{ pounds}

Significance level : 1-\alpha:1-0.99=0.01

By using the standard normal distribution table , the critical value corresponds to the given significance level will be :-

t_{n-1,\alpha/2}=t_{5-1,0.01/2}=t_{4,0.005}=4.604

Now, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas will be :-

1.9\pm\ (4.604)\dfrac{0.89}{\sqrt{5}}\\\\\approx1.9\pm1.832\\\\=(1.9-1.832,1.9+1.832)=(0.068,\ 3.732)

Hence, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas  = (0.068, 3.732)

5 0
3 years ago
Consider the equation 1.5 x plus 4.5 y equals 18.
Otrada [13]
1.5x will be the very answer
6 0
2 years ago
last season, a pitcher had an earned run average of 2.80 and allowed 70 earned runs. How many innings did the pitcher pitch last
brilliants [131]
4 innings and that's with the 70 earned runs
4 0
3 years ago
What is the measure of angle of 1?
Ludmilka [50]

Answer:

m<1 = 118

Step-by-step explanation:

The remote angles theorem states that when one extends one of the sides of a triangle, the sum of the two non-adjacent angles is equal to the measure of the angle between the extension of the side and a side of a triangle. One can apply this theorem here by stating that

(28) + (90) = m<1

Remember, a box around an angle signifies that its measure is (90) degrees.

Solve this problem by performing the operation,

118 = m<1

6 0
2 years ago
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