To solve the equation, multiply both sides by 5/3. The solution is b = -10/3.
A linear equation is an equation of which the highest degree of its variables is 1.
Steps to solve linear equations:
Simplify the expressions. If there are parentheses, remove them by multiplying the corresponding terms.Combine the same terms.Isolate the variable on one side by using subtraction or addition.Use division or multiplication to find the value of the variable.Recall that if we subtract or add the same number to both sides of an equation, it does not change the equality.The given problem:
Solve 3/5 b = -2
Notice that the variable, b, is already isolated on the left side.
Multiply both sides by 5/3:
3/5 b . 5/3 = -2 . 5/3
b = -10/3 (solved)
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a health and fitness company is testing a newly designed exercise and weight loss program. it is suspected that the new program is more effective in assisting weight loss. a group of 220 volunteers is first separated into 6 groups, labeled a to f, based upon age and weight such that these qualities are similar within each group. the age and weight of the volunteer is initially measured. within each group, participants are randomly assigned to either undergo the new exercise program or undergo a conventional exercise program. in addition, the daily calorie intake is set to a particular amount, either low, moderate or high, and maintained at that level for the duration of the program. at the end of six months, the percentage of weight lost is measured for each unit and the results are collected and compared.
This testing procedure is an example of a randomized block design experiment.
What do we mean by randomized block design experiment?A randomized block design is a research study in which the experimental units are organized into groups known as blocks. The treatments are assigned at random to the experimental groups within each block. We have a completely randomized block design when all treatments appear at least once in each block. A vaccine trial to check the efficacy of a new vaccine is an instance of block randomization. There are two treatments in this trial scenario: a placebo and a drug. A placebo is a non-therapeutic drug that is given to a doctor in place of the real drug.So, the given situation of a health and fitness company in the testing procedure is an example of a randomized block design experiment.
Therefore, this testing procedure is an example of a randomized block design experiment.
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The correct question is given below:
A health and fitness company is testing a newly designed exercise and weight loss program. It is suspected that the new program is more effective in assisting weight loss. A group of 220 volunteers is first separated into 6 groups, labeled A to F, based upon age and weight such that these qualities are similar within each group. The age and weight of the volunteer is initially measured. Within each group, participants are randomly assigned to either undergo the new exercise program or undergo a conventional exercise program. In addition, the daily calorie intake is set to a particular amount, either low, moderate or high, and maintained at that level for the duration of the program. At the end of six months, the percentage of weight lost is measured for each unit and the results are collected and compared.
This testing procedure is an example of a ____.
Write an equation of the line and interpret the slope and y intercept (Will award brainiest answer)
Answer:
[tex]y = 120x [/tex]
Step-by-step explanation:
Equation of a straight line is
[tex]y = mx + b[/tex]
m= slope of line = rise/run which can be computed by taking two points on the line, finding the difference I the y coordinate values and dividing by the correspoding difference in their x coordinate values
b is the y-intercept where the line crosses the y-sxis
Looking at the graph we can see that the line crosses the y-sxis at the origin (0, 0) so the y-intercept is at y=0
The slope is determined by examining the two highlighted points (3, 360) and (2, 240)
Slope =
[tex] \frac{360 - 240}{3 - 2} = \frac{120 }{1} = 120[/tex]
So equation of line is
[tex]y = 120x + 0[/tex]
or
[tex]y = 120x[/tex]
solve for x
(option c, 10 is incorrect)
5. Rewrite 252 + 108 in the form A(B+C) where a is the greatest common factor of 252 and 108
and b and care whole numbers.
(Responses: 2, 4, 6, 36, 42, 54, 63)
252 +108 =
Responses: 2, 4, 6, 7, 42, 63, 126)
(
(Responses: 2, 3, 18, 27; 36, 54, 108)
The values of A, B and C are 36, 7 and 3, respectively.
What is the simplified form of the sum of two positive integers?
In this problem we have the addition of two positive integers that are divisible to 2. First, we proceed to decompose each element of the addition as a product of prime numbers:
252 = 2² × 3² × 7
108 = 2² × 3³
The greatest common factor is the greatest integer that can be removed from the addition by distributive property. Then, the greatest common factor is 2² × 3² = 36 and finally:
(2² × 3²) · (7 + 3)
36 · (7 + 3)
The values of A, B and C are 36, 7 and 3, respectively.
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write the slope-intercept form of the line described
11) through: (5,5), parallel to y = 8/5x + 5
Answer:
y=8/5x-3
Step-by-step explanation:
y-5=8/5(x-5)
y-5=8/5*x-8/5*5
y-5=8/5x-(8*5/5)
y-5=8/5x-(40/5)
y-5=8/5x-8
+5 +5
y=8/5x-3
Hope this helps.
a set of 25 square blocks is arranged into a $5 \times 5$ square. how many different combinations of 3 blocks can be selected from that set so that no two are in the same row or column? (a) 100 (b) 125 (c) 600 (d) 2300 (e) 3600
A set of 25 blocks are arranged into 5×5 square, different combination of 3 blocks such that no two are in same column or row is 3600.
As given,
Set of 25 blocks arranged into 5×5 square.
Arrange 3 blocks
Delete column and row belong to filled block
Possibility for
First block =25 ways
Second block=16 ways
Third block =9 ways
Total ways =25×16×9
=3600
Therefore, set of 25 blocks are arranged into 5×5 square, different combination of 3 blocks such that no two are in same column or row is 3600.
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Help me I’m giving brainiest
Answer:
x = - 2
Step-by-step explanation:
x - 3x = 2(4+x)
-2x = 2*4 + 2x
-2x = 8 + 2x
-2x - 2x = 8
-4x = 8
x = 8/-4
x = -2
Check:
-2 - (3*-2) = 2(4+(-2))
-2 - (-6) = 2(2)
-2 + 6 = 4
w + 5w + 4 = 3(2w − 1)
Answer:
my result is 0 = -7 It has no solutions though since it is a contradiction
Solve the inequality for w.
[tex]-13\le w+14[/tex]
Ignore the equal too I couldn't just do less than
Answer: w>-27
Step-by-step explanation: I believe that this is your answer I am sorry if it is incorrect.
If two adjacent angles of a parallelogram are (5x-5) and (10x+35),then find the ratio of these angle’s
Answer:
Ratio= 45/135 = 1/3 = 1:3
Step-by-step explanation:
Look at the attachment
Yogurt Express charges $0.27 per ounce for yogurt. Maria pays $8.37 for her yogurt. How many ounces of yogurt did Maria get?
Answer:
31 oz.
Step-by-step explanation:
8.37/0.27 = 31
if one ounce equals $0.27, then Maria bought 31 ounces with the $8.37
unless she had to pay taxes on it, which wasn;t mentioned so I guess she didn't pay taxes :)
Ravi drove 536 miles in 8 hours. At the same rate, how long would it take him to drive 871 miles?
Answer:
13 hours
Step-by-step explanation:
536/8=67
871/67=13
math work that i need help with please
Step-by-step explanation:
B: translated across the y axis and shifted upwards 2 units.
3. juan lies on the ground 45 feet from his tent. the tent is 400 feet from the base of a tall cliff. both the top of the tent and the top of the cliff are in his line of sight. if juan's tent is 10 feet tall, how tall is the cliff?
The cliff is 98.89 feet tall.
In the attached diagram, we can there are two triangles forming. Small triangle involves Juan and tent and larger triangle involves Juan and cliff. As per the known fact, tan theta = perpendicular ÷ base. So, tan theta will be common for both the triangles. Hence, relating the components of tan theta, of both the triangles.
Smaller triangle :
tan theta = 10/45
Larger triangle :
tan theta = h/(400 + 45)
tan theta = h/445
Relating both the triangles as follows -
10/45 = h/445
Performing cross multiplication
10×445 = h×45
h = 4450÷45
h = 98.89 feet
Hence, the cliff is 98.89 feet tall.
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Bro help me this is 100 points
Answer: 145 minutes ==> 3rd option
Step-by-step explanation:
2*(45-10)+3*(30-5)=
2*35+3*25=
70+75=145 minutes ==> 3rd option
Answer:
145
Step-by-step explanation:
45 × 2 = 90
10 × 2 = 20
90 - 20 = 70
70
30 × 3 = 90
5 × 3 = 15
90 - 15 = 75
75
70 + 75 = 145
145
A hotel business center charges $40 per hour to rent a computer plus a $65 security deposit. The total rental charge is represented by f(X)=40+65. How would the equation change if the business center increased the security deposit by $15?
Answer:
The equation would change to f(x)=40x+80
Step-by-step explanation:
you add 15 to the 65 as that is the security deposit
Answer: It is Yes
Step-by-step explanation:
1. Since y = 40x + 65 was the original equation, when added 15 dollars to the security deposit, the equation changed by adding 15 into 65, changing it's y-int.
O Caden is paid 6.5% commission on his
sales or a salary of $185, whichever is
higher. Find his earnings if his sales are
$3.790.
Answer:
Do you have a picture or anything to show the problem? I am having a hard time understanding what you have wrote.
Step-by-step explanation:
When she was practising for the 10K, Mirin timed herself.
Her times ranged from 66 minutes down to 54 minutes.
a) Write her times in tolerance notation as in (.... ± ...) minutes.
b) Now calculate her tolerance using percentages as.... mins (± ...%).
Using the percentage concept, it is found that:
a) Her tolerance is of (60 ± 6 minutes).
b) As a percentage, her tolerance times are of 60 minutes (± 10%).
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
For this problem, the interval is between 54 and 66 minutes, that are both within 6 minutes of the mean of 60 minutes, thus:
a) Her tolerance is of (60 ± 6 minutes).
For item b, we want to find the tolerance as a percentage, that is, the percentage that the tolerance of 6 minutes is from the time of 60 minutes, hence:
P = 6/60 x 100% = 0.1 x 100% = 100%.
Hence:
b) As a percentage, her tolerance times are of 60 minutes (± 10%).
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R
On his first three tests Al averaged 76 out of 100.
What score out of 100 must he get on the fourth
test so his average will be 81?
Al must score 96 in his final test to get an average of 81.
An average or mean is one number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group.
If every number in a list is the same number, then the average of the numbers in the list is also this number. Every one of the diverse varieties of average shares this characteristic.
The sum of the of the numbers 2, 3, 4, 7, and 9 is 25, the average of the numbers is equal to 25 divided by 5=5.
Let Al scores x on final test.
Average score on first 3 tests=76
Total score on first 3 tests=76×3=228
Total score in 4 tests=228+x
Average score of 4 tests=(228+x)÷4
Average to be obtained in 4 tests=81
therefore we can equate the two expressions to calculate x.
(228+x)÷4=81
or, 228+x=324
or,x=324-228
or, x=96
Hence Al needs to get 96 on his final test so that his average is 81.
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the arithmetic sequence 1, .25, blank, -1.25, blank
The complete arithmetic sequence is 1, .25, -0.5, -1.25, -2
How to complete the arithmetic sequence?The arithmetic sequence is given as:
1, .25, blank, -1.25, blank
Replace the blanks in the arithmetic sequence with x and y
So, we have:
1, .25, x, -1.25, y
An arithmetic sequence has a common difference (d)
The common difference is calculated using
d = T2 - T1
So, we have
d = 0.25 - 1
d = x - 0.25
d = y + 1.25
Substitute d = x - 0.25 in d = 0.25 - 1
x - 0.25 = 0.25 - 1
This gives
x = 0.25 + 0.25 - 1
Evaluate the sum
x = -0.5
Substitute d = 0.25 - 1 in d = y + 1.25
0.25 - 1 = y + 1.25
This gives
y = 0.25 - 1 - 1.25
Evaluate
y = -2
Hence, the complete arithmetic sequence is 1, .25, -0.5, -1.25, -2
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Prove: The sum of two multiples of 3 is a multiple of 3.
3m+3n=[?](m+n)
= a multiple of []
The sum of two multiples of 3 is a multiple of 3. This shows the proof is correct.
How to illustrate the information?It should be noted that the information given is to prove that the sum of a multiple of 3 is also a multiple of 3.
This will be illustrated thus. Let's use the numbers 6 and 15. It should be noted that the addition of the numbers will be:
= 6 + 15
= 21
It should be noted that 21 is a multiple of 3. Therefore, the proofing is correct.
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A gallon of paint covers 400 square feet.how many square feet will 2 3/8 gallons of paint cover? 1 point
2 3/8 gallons of paint will cover 950 square feet by unitary method.
What is unitary method?A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.
By unitary method,
1 gallon paint covers 400 sq feet.
2 3/8 = [tex]\frac{19}{8}[/tex] gallons of paint will cover: [tex]400(\frac{19}{8})[/tex] = 950 sq. feet
Hence, 2 3/8 gallons of paint will cover 950 square feet by unitary method.
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A rectangular pool is 9 meters wide and 11 meters long. If you swim diagonally from one corner to the other, how many meters will you swim? Approximate the answer to the nearest tenth.
A: 1.4 meters
B: 4.3 meters
C: 6.3 meters
D: 14.2 meters
The answer choice which represents the length to swim diagonally and expressed to the nearest tenth as required in the task content is; Choice D; 14.2 meters.
What is the length to swim diagonally in the rectangle as described in the task content?It follows from the task content that the pool in discuss is rectangular and hence, the diagonal of the rectangle makes a right triangle with two perpendicular sides of the rectangle.
Hence, from Pythagoras theorem; we have;
hyp² = opp² + adj²
Hence,
D² = 9² + 11²
D² = 81 + 121
D² = 202
D = √202
D = 14.2 rounded to the nearest tenth.
Therefore, The answer choice which represents the length to swim diagonally and expressed to the nearest tenth as required in the task content is; 14.2 meters.
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Is -51/5 rational or irrational
Answer: rational
Step-by-step explanation: If a number is terminating number or repeating decimal, then it is rational.
Answer:
Rational
Step-by-step explanation:
If a number has a finite number of digits or could be written in a fraction that consists of numbers with a finite number of digits(-51 and 5 have a finite number of digits), then it is a rational number. Hence, -51/5 is a rational number.
BRAINLIEST ANSWER IF ANSWERED PROPERLY WITH NO SPAM
Answer:
m = e/c^2
Step-by-step explanation:
e = mc^2
m = e/c^2
a elevator at a construction site has a maximum capacity of 2030 pounds. if the elevator operator weighs 230 pounds and each cement bag weighs 75 pounds how many bags of cement can safely lifted on the elevator in one trip
Answer:
Step-by-step explanation:
2030-230=1800
1800/75=24
15 + 1.50 = 55 - 4.50
Answer: 6x=40
x=40/6
x=6+2/3
Step-by-step explanation: hope this helps!!!
Step-by-step explanation:
4.50+1.50=55-15
6=40 ........
Can someone answer this please It's due in 30 minutes
Which square root could be the number shown on the number line?
O A. √15
O B. √17
O C. √26
O D. √24
The square root that could be the number shown on the number line is √17
Which square root could be the number shown on the number line?On the number line, the position of the point is
Point = 4.1
Square both sides of the above equation
So, we have"
Point^2 = 4.1^2
This gives
Point^2 = 16.81
Approximate
Point^2 = 17
Hence, the square root that could be the number shown on the number line is √17
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Luke drives 3 times the hours that priya does. luke and priya drive for a total of 12 hours. how long did each person drive?
Luke will drive for 9 hours while Priya will drive for 3 hours.
What does driving mean?Driving is the controlled operation and movement of a vehicle, including cars, motorbikes, trucks, buses, and bicycles. Drivers must abide by the local traffic and road laws when driving on public roadways, which are only permitted when a number of requirements are met. The word "driving" has an etymology that dates back to the 15th century, and it has evolved as what driving has included has changed over time, from working animals in the 15th century to automobiles in the 1800s. Since the fifteenth century, driving has also demanded more advanced physical, mental, and safety abilities.
Let number of hours Priya travelled be x and number of hours Luke travelled be 3x.
Now, Total hours travelled by Priya and Luke;
x+3x=12
x=3
Hence number of hours Priya travelled is 3 hours and Luke travelled for 9 hours.
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Question 2 (2 points)
Charles is paid $3.75 per hour plus time and a half on holidays and makes an average of 15% tips on his food sales as a server at the local
seafood restaurant.
This is modeled by the expression 3.75(x) +3.75(1.5)(y) +0.15(z).
What is Charles' gross pay if he worked 25 regular hours and 5 holiday hours and had $1,915 in food sales?
O a
Ob
Oc
Od
$121.88
$399.75
$409.13
$446.63
Considering the function for his salary, his gross pay is of $409.13.
What is the function for his gross pay?His gross pay is modeled by the following function:
P(x,y,z) = 3.75x + 3.75(1.5)y + 0.15z.
In which:
x is the number of regular hours.y is the number of holiday hours.z is his earnings in food sales.For this problem, the parameters are given as follows:
x = 25, y = 5, z = 1915.
Hence his pay is given by:
P(25,5,1915) = 3.75(25) + 3.75(1.5)(5) + 0.15(1915) = $409.13.
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