Answer:
r = 4
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
-5 + 22 = r - 4 + 3r + 5
<u>Step 2: Solve for </u><em><u>r</u></em>
- Combine like terms: 17 = 4r + 1
- Subtract 1 on both sides: 16 = 4r
- Divide 4 on both sides: 4 = r
- Rewrite: r = 4
<u>Step 3: Check</u>
<em>Plug in r to verify it's a solution.</em>
- Substitute: -5 + 22 = 4 - 4 + 3(4) + 5
- Add/Subtract: 17 = 3(4) + 5
- Multiply: 17 = 12 + 5
- Add: 17 = 17
Answer:
Step-by-step explanation:
28*5 115 sub 115 from 800 then divide 685 by 5 then add 7 into that number 28 times
The single shift worked by Reem is 16 hours long.
Total earned = $320
First 8 hours (earning per hour) = $16
Additional hours = $24 per hour
Let the total number of hours worked = m
The Number of hours after 8 hours = m - 8
Representing the scenario with an equation :
(16 × 8) + (24 × (m - 8)) = 320
128 + 24m - 192 = 320
-64 + 24m = 320
24m = 320 + 64
24m = 384
Divide through by 24
m = 384 / 24
m = 16
Hence, the shift is 16 hours long.
Learn more : brainly.com/question/18109354
Answer:
Y = 60 degrees and X = 12
Step-by-step explanation:
x+3 and 15 are congruent so x+3 = 15, 12+3 = 15 therefore x = 12
y = 60 vertically opposite angles are equal. :D
Answer:
<em>H</em>₀: <em>μ₁ = μ₂= μ₃</em>
<em>Hₐ: </em>At least one of the means is different.
Step-by-step explanation:
Analysis of variance or ANOVA test is used to determine whether the means of different groups are similar or not.
The hypothesis of an ANOVA test for <em>n</em> homogeneous groups is:
In this case the researcher is testing whether the mean bone mineral density is different for the three different groups.
The hypothesis for this test can be defined as follows:
<em>H</em>₀: The mean bone mineral density is not different for the three different groups, i.e. <em>μ₁ = μ₂= μ₃</em>
<em>Hₐ: </em>The mean bone mineral density is different for the three different groups, i.e. at least one of the means is different.
