$2.60 was spent on a box of crackers. s = 20 students.
Let's have C be the cost of crackers for each student. To find the cost, we divide the total amount of money (2.60) by the number of students (20)
C = 2.6/20
C = 0.13
The cost of the crackers for each student in Mr. McKay's class, if divided evenly, would be $0.13 when there are 20 students.
Explanation:Mr. McKay's expenditure on the box of crackers can be written as an arithmetic expression where the total cost is divided by the number of students. This expression is 2.6 / s. By substituting the given number of students (s=20), we find that the cost of the crackers for each student is 2.6 / 20 = $0.13. Therefore, each student should pay $0.13 if the cost of the crackers is to be divided evenly among them.
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Which expression is equivalent to (x4/3x2/3)1/3
Given
The expression is given in the question
[tex]=(x^{\frac{4}{3}}\times\ x^{\frac{2}{3}})\ ^{\frac{1}{3}}[/tex]
Find the expression is equivalent to the above expression.
To proof
As expression is given in the question
[tex]=(x^{\frac{4}{3}}\times\ x^{\frac{2}{3}})\ ^{\frac{1}{3}}[/tex]
By using the properties
product of powers property tells us that when you multiply powers with the same base you just have to add the exponents.
i.e
[tex]x^{a} .x^{b} = x^{a +b}[/tex]
Now using this in above
we get
[tex]=x^{\frac{6}{3}\times\frac{1}{3}}[/tex]
Also by using the property
[tex](x^{a} )^{b} = x^{ab}[/tex]
We get[tex]=x^{\frac{6}{9}}[/tex]
Therefore expression becomes
[tex]= x^{\frac{2}{3}}[/tex]
Hence proved
Six more than three times a number is less than or equal to 96. d. Five less then half the distance from Jerod’ s home to the mall is more then 6 miles
First statement : Six more than three times a number is less than or equal to 96.
Let us assume number be n.
We can repharse above statement as :
"6 more than 3 times of n is less than or equal to 96".
Therefore, we can write an ineuality as.
3 times of n = 3n
6 more than 3 times of n = 3n+6.
3n+6 ≤ 96.
_____________________________________________________________
Statement 2: Five less then half the distance from Jerod’ s home to the mall is more then 6 miles.
Let us distance from Jerod’ s home to the mall is d.
We can repharse above statement as:
5 less than 1/2 of d is more than 6 miles.
5 less than 1/2 of d = 1/2d -5 .
Therefore, we can write an ineuality as.
12d -5 > 6.
At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawals, each in the same amount. Each of John’s withdrawals was $5 more than each withdrawal that Derek made. Both Derek and John withdrew the same amount of money in the end. How much did each brother withdraw?
A) Write an equation. Let x represent the amount of one of Derek’s withdrawals. B) Solve the equation. Show your work.
C) Check your solution. Show your work. D) State the solution in complete sentences
Answer:
x=12.50
y = 17.50
Step-by-step explanation:
x = Amount of one Derek withdrawal
then amount of John withdrawal =x+5
Total withdrawals of Derek = no of times x one time withdrawal
= 7(x) = 7x ... i
No of John withdrawal = no of times x one time withdrawal
= 5(x+5) ... ii
Given that i and ii are equal
i.e. 7x =5(x+5)
7x = 5x+25
2x =25
x = 12.50 dollars
Y = 17.50 dollars
Checking part:
total derek withdrawal = 7(12.5) =87.50
Joh's withdrawal = 5(17.50) = 87.50
Since both are equal, our answers are right.
Solution: Derek withdrew each time 12.50 dollars each for 7 times and John withdrew 17.50 dollars each for 5 times.
What is the slope of the line that is graphed below ?
Rise over run, so 2/6. This can be simplified to 1/3. Hope this helps!
Answer: The SLOPE of the graphed line is [tex]\dfrac{1}{3}.[/tex]
Step-by-step explanation: We are given to find the slope of the graphed line in the figure.
From the graph, we note that
the line passes through the points (0, 2) and (6, 4).
We know that
the slope of a straight line passing through the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
Therefore, the slope of the graphed line is given by
[tex]m=\dfrac{4-2}{6-0}=\dfrac{2}{6}=\dfrac{1}{3}.[/tex]
Thus, the SLOPE of the graphed line is [tex]\dfrac{1}{3}.[/tex]
A car is traveling 75 kilometers per a
Hour.how many meters does the car travel in one minute?
One hour = 60 minutes
If it is travelling at 75 kilometers per hour, we can divide 75 by 60 to find out how fast it can travel in one minute.
75/60 = 1.25
The car can travel 1.25 kilometers per minute.
However, the questions is asking how many meters it travels in one minute.
A kilometer is 1000x the size of a meter.
Thus, if we multiply 1.25 by 1000x we'll get the amount of meters.
1.25 * 1000 = 1250
The car travels 1250 meters in one minute.
Final answer:
A car traveling at 75 km/h covers 1,250 meters in one minute by converting the speed to meters per hour and then dividing by the number of minutes in an hour.
Explanation:
To convert the car's speed from kilometers per hour to meters per minute, we can use the following conversion factors: There are 1,000 meters in a kilometer and 60 minutes in an hour. Therefore, if a car is traveling at 75 kilometers per hour, we can calculate the distance it travels in one minute as follows:
First, convert the speed to meters per hour: 75 km/h * 1,000 m/km = 75,000 m/h.Then, convert meters per hour to meters per minute: 75,000 m/h ÷ 60 min/h = 1,250 meters per minute.So, a car traveling at 75 kilometers per hour travels 1,250 meters in one minute.
Two angles are complementary. The first angle is 2x degrees. The second angle is (x+30) degrees. Determine the larger angle
larger angle = 50°
complementary angles sum to 90° , hence
2x + x + 30 = 90
3x + 30 = 90 ( subtract 30 from both sides )
3x = 60 ( divide both sides by 3 )
x = 20
thus 2x = 2 × 20 = 40° and x + 30 = 20 + 30 = 50°
the larger angle is x + 30 = 50°
solve the following equation. -2x+4=2(4x-3)-3(-8+4x)
x=7
x=2
x=-7
x=3
6 to the power of 2 add y to the power of 2 is r to the power of 2. what is r and y?
Eight less than a number is one-third the number. what is this in numerical form?
a) 8-n=n/3
b) n-8=3n
c) n-8=n/3
d)n/3-8=n
Eight less than a number = n - 8
One-third the number = 1/3 * n or n/3
So eight less than a number is one-third the number"
n - 8 = n/3
Answer is c) n-8 = n/3
Diver jumps from a distance that is 48 feet above the surface and stops descending 12 feet below the surface what was the length of her jump?
Jose buys a bag of cookies that contains 6 chocolate chip cookies, 8 peanut butter cookies, 9 sugar cookies and 8 oatmeal cookies.
What is the probability that Jose reaches in the bag and randomly selects a peanut butter cookie from the bag, eats it, then reaches back in the bag and randomly selects a chocolate chip cookie?
approximately 5% of the time. In decmial form, it is 0.0516129032. If it is in fraction from, then it is 8/155. To explain, you find the total number of cookies. Then you find the number of peanut butter cookies and put that as the numerator over the total as the denominator. After that, you find the number of cookies left after Jose eats one cookie. That becomes the denominator and then find the amount of chocolate chip cookies ib the bag and put it over that total. Multiply both fractions together to get this answer.
The probability that Jose first selects a peanut butter cookie and then a chocolate chip cookie from a bag of 31 cookies is 8 out of 155.
Explanation:This problem is a question of probability, which is a branch of Mathematics. Probability determines how likely an event is to occur out of the total number of possible outcomes. We'll calculate it step by step:
First, we calculate the total number of cookies. Jose has 6 chocolate chip cookies, 8 peanut butter cookies, 9 sugar cookies and 8 oatmeal cookies. We add all these up to get the total number of cookies, which is 31 cookies.Then, Jose first selects a peanut butter cookie. The probability of this happening is the number of peanut butter cookies (8) divided by the total number of cookies (31). We simplify this to 8/31.After eating the peanut butter cookie, the total number of cookies is now 30 and the number of chocolate chip cookies remains 6. Thus, the probability of selecting a chocolate chip cookie now is 6/30, which simplifies to 1/5.Now, we multiply the two probability values to get the overall probability: 8/31 * 1/5 = 8/155. So, the probability that Jose first selects a peanut butter cookie and then a chocolate chip cookie is 8 out of 155.Learn more about Probability here:https://brainly.com/question/32117953
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Weight/Calories per Day 1000 to 1500 cal. 1500 to 2000 cal. 2000 to 2500 cal. Total
120 lb. 90 80 10 180
145 lb. 35 143 25 203
165 lb. 15 27 75 117
Total 140 250 110 500
Based on the data in the two-way table, what is the probability that a person consumes 1,500 to 2,000 calories in a day?
A. 0.22
B. 0.28
C. 0.35
D. 0.50
Option: D is the correct answer.
The probability is: 0.50
Step-by-step explanation:Weight/Calories 1000-1500 1500-2000 2000-2500 Total
120 lb. 90 80 10 180
145 lb. 35 143 25 203
165 lb. 15 27 75 117
Total 140 250 110 500
We are asked to find the probability that a person consumes 1500-2000 calories in a day.
Total number of people who were surveyed=500
Total number of people who consume 1500-2000 calories in a day are:250
Hence, Probability is:
250/500=1/2=0.50
Answer: D. 0.50
Step-by-step explanation:
Formula for probability :
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
The given two-way table :
Weight/Calories 1000-1500 1500-2000 2000-2500 Total
120 lb. 90 80 10 180
145 lb. 35 143 25 203
165 lb. 15 27 75 117
Total 140 250 110 500
To find the probability that a person consumes 1500-2000 calories in a day., we need :
a) The total number of people surveyed. (Total outcomes)
b) The number of people consume 1500-2000 calories in a day. (favorable outcomes)
From the above table,
Total people surveyed=500
Number of people consume 1500-2000 calories in a day are=250
Then , the required probability will be :-
[tex]\text{P(person consumes 1,500 to 2,000 calories in a day)}=\dfrac{250}{500}=\dfrac{1}{2}\\\\=0.50[/tex]
Hence, the probability that a person consumes 1,500 to 2,000 calories in a day=0.50
Half of the product of two consecutive number is 105. which equation can be used to solve for n1 the smaller of the two numbers?
The two number would be 14 and 15.
This would be because 14x15=210 (the product) and 210/2=105 (half the product)
Hey guys can somebody help me please ? With all the questions
Sorry this is not the answer but I think it will help majorly it you can replace the unknown numbers with random ones and just keep on switching it out. Hope it helps a bit. :)
The answer to the riddle is I_SO_LATE_ME! (the underscores are the squares.
1. 3x+2=5 (o)
2. 4+9+5+x=2x (square)
3. x/4+7=12 (a)
4. 2x+3=12 (e)
5. 7x=42 (!)
6. x/5=3 (e)
7. 2x+3x+4=12 (s)
8. 3x-2=5 (square)
9.
10.
11.
12.
13.
which term describes lines that intersects at a 90 degree angle?
The lines are Perpendicular
Perpendicular lines are lines that directly bisect each other, forming 90° angles
~Rise Above the Ordinary
Hi, I'n Jenny and I'm a mathematician! I'd love to help you! :)
"which term describes lines that intersects at a 90 degree angle? "
My answer: perpendicular lines
Attached is more info on math lines
Message from ExperimentsDIYS:
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please help me i really need help :;
The kinetic energy of the girl is 120 J while the dog has 40 J.
if the dog speeds up, it would have a kinetic energy of 160J.
In order to get these answers, you need to use the formua for kinetic energy which is KE=1/2 mv^2. mass=m, v=velocity and KE= Kinetic Energy.
Answers of tthe questions are reasonable because you would gain more energ if you run faster and also more energy if you gain more mass.
One cell phone plan charges $0.08 per text and another plan charges $0.12 per text. What’s the simplified ratio of the cheaper plan to the more expensive plan?
A. 3:2
B. 8:12
C. 12:8
D. 2:3
Answer:
2/3
Step-by-step explanation:
That ratio, right out of the box, would be cheaper / more expensive, or $0.08 / $0.12. This can be reduced to 8/12, or 2/3.
What is 30,000 expressed in scientific notation?
A. 3 x 10
B. 3 x 1000
C. 3 x 10
D. 1 x 10
The answer is b. It is the only choice that equals the right answer. You could also write this as 3 * 10^4, which is equivalent to b.
First count how many zeros 30,000 has it has four. So you need to multiply it by something that has four digits. So B. 3 x 1000. Or expressed in scientific notation.
3 × [tex]10^{4}[/tex]
NEED HELP ASAP, EASY PROBLEM! Number 4 pls
EMERGENCY
How do I find the axis of symmetry equation based on the graph?
Final answer:
The axis of symmetry of a parabola can be found by the formula x = -b/(2a), which uses the coefficients of the quadratic equation. This line runs vertically through the vertex of the parabola.
Explanation:
Finding the axis of symmetry for a quadratic equation based on its graph involves identifying the line that divides the parabola into two mirror images. The axis of symmetry is always a vertical line and can be found by looking at the vertex (the highest or lowest point) of the parabola. The equation for the axis of symmetry is x = h, where h is the x-coordinate of the vertex. If the quadratic equation is in the standard form y = ax² + bx + c, the axis of symmetry can be calculated using the formula x = -b/(2a).
For instance, if we have a quadratic equation like y = 2x² - 4x + 1, we can find the axis of symmetry by using the formula with a = 2 and b = -4 which gives us x = -(-4)/(2*2) = 1. Therefore, the axis of symmetry for this parabola is x = 1.
What does the y-intercept and what does it indicate
The y-intercept is the point where the line crosses the vertical y-axis.
what is value of 3-6(z-2)^3 if z= -2
[tex]3-6(z-2)^3\\\\\text{Put the value of z = -2 to the expression:}\\\\3-6(-2-2)^3=3-6(-4)^3=3-6(-64)=3+384=387[/tex]
Answer:
387.
Step-by-step explanation:
Given : 3-6(z-2)³.
To find : What is value if z = -2.
Solution : We have given
3-6(z-2)³.
Plugging the z = -2
3 - 6( -2- 2)³.
3 - 6( -4)³.
3 - 6 ( -64).
3 + 384.
387
Therefore, 387.
PLEASE HELP ASAP! WILL MARK BRAINLIEST!
length = y
width = length-3 = y-3
Area = (length)(width) = y(y-3) = y^2-3y
The final answer is y^2-3y
Luis takes a train 6.37, kilometers and a car 5.45 kilometers
How many kilometers is Luis's journey in total?
Add the two distances together to find the total distance travelled.
6.37+5.45=11.82
Luis's journey is 11.82 kilometers long.
I hope this helps :)
Luis's journey was 11.82 kilometers long.
complete the sentence. 7 is ten times the value of __?
7 is ten times the value of 0.7
What are the slope and the y- intercept of the linear function
the slope is 9 and the y-intercept is - 2
the equation of a line in ' slope-intercept form ' is
y = mx + c ( m is the slope and c the y-intercept )
y = 9x - 2 is in this form
with slope m = 9 and y-intercept c = - 2
find an equation for the inverse relation y=-2x+5
[tex]replace y by x and vice versa, then solve for y:
y=-2x+5 \rightarrow x=-2y+5 \implies y=-\frac{1}{2}(x-5)[/tex]
Farmer Gray has 30 flower pots. He plants 10 seeds in each pot. How many seeds does he plant?
Farmer Gray planted 300 seeds.
To find this, you simply multiply the number of flower pots (30) by the number of seeds in each pot (10). Thus making the answer 300.
I hope this helps!
One method to develop a plan for a proof is to work “backwards” by starting with the conclusion
Answer:
true
Step-by-step explanation:
3(x+4)=5(x-2) I really need help i have no idea how to do it
answer: [tex]x = 11[/tex]
work:
[tex]3(x+4)=5(x-2)[/tex] | distribute 3 and 5 into the parentheses.
[tex]3x + 12 = 5x - 10[/tex] | subtract 5x and move it over to 3x, and solve.
[tex]-2x + 12 = -10[/tex] | subtract 12 and move it over to -10, and solve.
[tex]-2x = -22[/tex] | divide by -2.
[tex]x = 11[/tex] | final answer.
hope this helps! ❤ from peachimin
Gotcha!
3(x+4)=5(x-2)
Distributive Property
3x+12=5x-10
Subtract 5x from 3x & 12 from -10
So far, you would have: -2x=-22
Divide both sides by -2!
Answer: x=11