Answer:
the answer is 1/2 because of the multiple of 3
Marcella bought 3 packages of balloons and 4 packages of favors for $14.63.
Rupert bought 2 packages of balloons and 5 packages of favors for $16.03. Find
the price of a package of balloons.
Answer:
$1.29 for balloons
Step-by-step explanation:
3b + 4f = 14.63
2b + 5f = 16.03
2b = 16.03 - 5f
b = (16.03/2) - 5/2f
3b + 4f = 14.63
3[(16.03/2) - 5/2f] + 4f = 14.63
48.09/2 - 15/2f + 4f = 14.63
24.045 - 15/2f + 8/2f = 14.63
24.045 - 7/2f = 14.63
-7/2f = -9.415
-3.5f = -9.415
f = 2.69 = $2.69 for favors
2b + 5(2.69) = 16.03
2b + 13.45 = 16.03
2b = 2.58
b = 1.29 = $1.29 for balloons
If we increase our food intake, we generally gain weight. Nutrition scientists can calculate the amount of weight gain that would be associated with a given increase in calories. In one study, 16 nonobese adults, aged 25 to 36 years, were fed 1000 calories per day in excess the calories needed to maintain a stable body weight. The subjects maintained this diet for 8 weeks, so they consumed a total of 56,000 extra calories. According to theory, 7700 extra calories will translate into a weight gain of 1 kilogram. Therefore, we expect each of these subjects to gain 56000/7700=7.3 kilograms. The weights in kilograms before and after the 8-week period are shown below:
ID: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Before: 55.7 54.9 59.6 62.3 74.2 75.6 70.7 53.3 73.3 63.4 68.1 73.7 91.7 55.9 61.7 57.8
After: 61.7 58.8 66.0 66.2 79.0 82.4 74.3 59.3 79.1 67.0 73.4 76.9 93.1 63.0 68.3 60.3
(1) For each subject, manually calculate the weight gain subtracting the weight before from the weight after.
Use the distributive property to find an expression that is equivalent to
2x(x + 7)-(3x +1)
Given expression:
2x(x + 7)-(3x +1);
To distribute implies to spread a process equally in an expression. Often times, the distributive property is used for expressions inside parentheses;
2x(x + 7)-(3x +1)
Distribute 2x over the first parentheses;
the negative sign distributes over the second part
= (2x² + 14x) - 3x -1
= 2x² + 14x -3x -1
Add like terms;
= 2x² + 11x -1
This expression 2x² + 11x -1 is equal to the given one
help!!!
3 Peter measured the width of a room as 28 feet
and the length as 17 feet. About how many
square feet does the room cover?
Area = length X width
Which of the following is an obtuse triangle?
Triangle A
Triangle B
Triangle C
Triangle D
Answer:
triangle B
Step-by-step explanation:
It is the only triangle with an angle wider than 90
On a number line, which fraction would be to the right of 1/2?
A) 2/12
B) 1/3
C) 10/20
D) 16/25
Answer:
C. I hope this helps! Have a great day.
Please help with this math problem!!!!! ASAP please thanks! The photo is attached
Answer:
The answer will be the 2nd answer!
Step-by-step explanation:
Your Welcome!!
Solve: 5x - 14 = 8x + 4
helppp me please!!!
Answer:
18 hdhb
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
21/1 x 6/7
21 x 6 = 126
1 x 7 = 7
126 / 7 = 18
the price of 41gram apple is 10.25 rupees.then how many rupees for 1 kg apple
Answer:
Rs. 250
Step-by-step explanation:
The price of 41 g. apple is Rs 10.25
The price of 1 g. apple is Rs 10.25/41, = Rs 0.25
The price of 1 Kg (1000 g.) is 0.25 x 1000 = Rs 250
Given: A = {(2, 3), (5, 1), (-3, -2), (0, 3)}
What is the domain of A?
Which inequality is graphed below?
Answer:
the first one
x is greater than or equal to - 4
Step-by-step explanation:
1. What is the surface area of the polyhedron? Explain your reasoning.
Answer:
24
Step-by-step explanation:
i counted the square me good at counting
Which set of ordered pairs does not represent a function?
\{(5, -6), (-1, -2), (2, -9), (-8, -2)\}{(5,−6),(−1,−2),(2,−9),(−8,−2)}
\{(-5, 7), (-4, -9), (-5, -4), (2, -6)\}{(−5,7),(−4,−9),(−5,−4),(2,−6)}
\{(-4, 2), (-2, 8), (-1, 6), (5, 6)\}{(−4,2),(−2,8),(−1,6),(5,6)}
\{(2, 2), (-4, 9), (9, -3), (-3, 2)\}{(2,2),(−4,9),(9,−3),(−3,2)}
Answer:
the 1st, 2nd, and 4th one because those ordered pairs, the y axis is the same . sooo thats what makes it a non function .
Simplify -9/6 divided by -3/2
Kelly can type 120 words in 3 minutes. At that rate, how many words can she type in 5 minutes?
Cheryl has $100 on her subway gift card. Each week she buys the same lunch for $10. She wants to continue using the card until the balance remaining is $40. Write an equation to represent the situation
Answer:
100-60=40
Step-by-step explanation:
Answer:
In 6 weeks she will have $40.
Step-by-step explanation:
$100 - $10 - $10 -$10 - $10 - $10 - $10.
Or $100 - $60.
Irina ran 0.25 mile in 2 minutes. At this rate, how many minutes will it take her to run 2 miles?
Enter the correct answer in the box.
Answer:
16
Step-by-step explanation:
2/0.25 = 8
2 x 8 = 16
Can someone help me out ? Please ?
Answer:B
Step-by-step explanation:mark me as brainliest
PLEASEE HELP ME AS FAST AS POSSIBLE! According to the fundamental theorem of algebra, how many solutions does this polynomial have?
Btw sorry about the bad lighting
2, because there are 2 different factors with x in it.
x could be 0, or 4.
Hope this helps
The number of the solution of the polynomial is 2. And the solutions of the polynomial are 0 and 4.
What is polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The polynomial is given below.
y = 3x(x - 4)
The factors of the polynomial are 3x and (x - 4).
For the solution of the polynomial, put each factor equals to zero.
Then the solution of the polynomial will be
3x = 0
x = 0
x - 4 = 0
x = 4
The number of the solution of the polynomial is 2.
And the solutions of the polynomial are 0 and 4.
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Solve the system of linear equations by graphing. x+y=27
y=x+3
Answer:
X=12 Y=15
Step-by-step explanation:
X+Y=27 (1)
Y=X+3 (2)
substitute (2) into (1)
X+X+3=27
2X=24
X=12
substitute X=12 into (2)
Y=12+3
Y=15
The solution to the problem as shown in the graph is at A(12, 15):
A linear equation is in the form:
y = mx + b;
where m is the slope, b is the y intercept and y, x are variables.
Given the linear equations:
x + y = 27
y = x + 3
Plotting the equations using Geogebra online graphing tool, the solution to the problem as shown in the graph is at A(12, 15):
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Question 1 of 2
15 Points
A report revealed that the average no. of months that an employee stays in a factory is 36
months. Assuming that the no. of months of an employee tenure in the factory is normally
distributed with a standard deviation of 6 months, find the probability that a certain employee
will stay
a. More than 30 months
b. Less than 24 months
c. Between 24 to 48 months
Answer:
Step-by-step explanation:
Given the following :
Mean(m) = 36 months
Standard deviation (s) = 6 months
A) probability of staying more than 30 months :
Zscore = ( x - m) / s
x = 30
Zscore = (30 - 36) / 6
Zscore = - 6/6
= - 1
P(Z > - 1) = 1 - p(Z < - 1) ; p(Z < - 1) = 0.1587
1 - p(Z < - 1) = 1 - 0.1587 = 0.8413
2)less than 24 months :
Zscore = ( x - m) / s
x = 24
Zscore = (24 - 36) / 6
Zscore = - 12/6
= - 2
P(Z < - 2) = 0.0228
3.) between 24 to 48 months
For 24 months : from above = 0.0228
48 months :
Zscore = ( x - m) / s
x = 48
Zscore = (48 - 36) / 6
Zscore = 12/6
= 2
P(Z < 2) = 0.9772 ( from z table)
Hence,
0.9772 - 0.0228 = 0.9544
HELP!!! DUE IN 38 MINUTES 11:22 due at 11:59pm pst
Answer:
(1,2)
(-1,2)
(1,-2)
(-1,-2)
Round 555 to nearest 10
Answer: 600
Step-by-step explanation: 555
The five in the tens place is equal to 5
To round to the nearest tens place the number has to be 5 or more than 5
The sum of two consecutive odd integers is 72 what are the integers
Since -72 is the sum of two integers, your answer will be approximately -36 and -36 (or ).
Solve -8 =2(z-18) for z
Answer:
z=14
Step-by-step explanation:
-8=2(z-18)
-8=2z-36
+36 +36
28=2z
28/2=14
z=14
Answer:
z=14. 2(14-18)=2(-4)=-8=-8
P.s.
please give me brainliest for my next rank
$15 per hour is the basic rate at a factory. After a 48 hour basic work week, overtime is paid time and a half. If no one worked overtime and the factory paid $15840 in wages one week how many workers are in the factory
There are 22 workers are available in the factory.
What is Wages?Wages is the payment for work based on hours worked (or sometimes per day or per amount of work done).
Here, Let the number of workers in the factory be x.
Basic rate = $15
Working hours in a week = 48 hours
Total wages in a week = $ 15840
If no overtime is to be paid then according to question,
Amount paid to 1 worker = 48 X 15 = $ 720
Amount paid to x worker = 720x
15840 = 720x
x = 15840/720
x = 22
Thus, There are 22 workers are available in the factory.
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A high-performance composite flywheel rotor can spin anywhere between 30,000 and 100,000 revolutions per minute. What
is the range of degrees through which the composite flywheel can travel in a minute? Write your answer in scientific
notation.
Answer:
Step-by-step explanation:
1 revolution will equal 360 degrees
Because of that 30,000 revolution would be 10,800,000 degrees
100,000 rev would equal 36,000,000 degrees
The range through which the composite flywheel rotates in one minute be denoted by ' F ' . (1.08 x 107)° F (3.6 x 107)°
The range of degrees the composite flywheel can travel in a minute is 2.52 × 10⁷ degrees/minute.
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
The range of revolutions per minute for the rotor is from 30,000 to 100,000, which means that the rotor can spin a total of 70,000 revolutions per minute (100,000 - 30,000 = 70,000).
To find the range of degrees through which the composite flywheel can travel in a minute, we need to multiply the range of revolutions by the number of degrees in one revolution.
A full revolution is 360 degrees, so the composite flywheel can travel in a minute :
70,000 revolutions/minute × 360 degrees/revolution = 25,200,000 degrees/minute
This can be written as 2.52 × 10⁷ in scientific notation.
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Evaluate:
54 - 75 + 81 - (-27) + 53
Find the present value of an annuity of $120 at the end of each month put into an account yielding 4.8% compounded monthly for 5 years.
Answer:
Yyyy
Step-by-step explanation: