Vanilla wafers cost $4 per packet
and chocolate wafers for $1 per packet
They spent a total of $45 .
This means that the equation that can be formed using this information is:
4x+y=45
and they buy a total of 27 packets of wafers.
i.e. the equation formed with the help of this information is:
x+y=27
PART A:
The system of equations that can be solved to find the number of packets of vanilla wafers and the number of packets of chocolate wafers that Josh and his friends bought at the carnival is:
4x+y=45-------------------(1)
and x+y=27----------------(2)
PART B:
We will use the method of substitution because with the help of this method we could easily substitute the value of one variable in terms of the other variable and obtain the answer.
Using equation (2) we have:
y=27-x-------------------(3)
On putting this value of y in equation (1) we have:
4x+27-x=45
i.e.
4x-x+27=45
i.e.
3x+27=45
i.e.
3x=45-27
i.e.
3x=18
i.e.
x=6
and on putting the value of x in equation (3) we have:
y=27-6
i.e. y=21
Hence, number of vanilla wafers purchased = 6
and number of chocolates wafers purchased = 21
A number minus 25 is equal 51
simplify this expression x^8 y^-26
Joyce saved $90 on an item that was 75 % % off What was the original price?
Factor the expression.
d2 + 10d + 9
Help me please asap :(
With _______ insurance, the insured agrees to pay a specific premium each year until death. half life
With whole life insurance, the insured agrees to pay a specific premium each year until death.
Whole life insurance is a plan that requires you to pay premiums for you entire life, thus it is known as "whole life."
Find the quotient.
n 7 ÷ n 3
Answer: [tex]n^4[/tex]
Step-by-step explanation:
The given division problem is [tex]n^7\div n^3[/tex]
The law of exponents says that [tex]a^{m+n}=a^ma^n[/tex]
Therefore, [tex]n^7=n^{3+4}=n^3n^4[/tex]
Now, the division problem becomes
[tex]n^7\div n^3\\\\=\frac{n^7}{n^3}\\\\=\frac{n^3n^4}{n^3}\\\\\text{Cancel }n^3\text{ as common from numerator and denominator, we get}\\\\n^7\div n^3=n^4[/tex]
hence, the quotient of the given problem = [tex]n^4[/tex]
how does 0.03 compare to 0.003
Neil wants to buy some video games over the Internet. Each game costs $25.01 and has a shipping cost of $9.98 per order. If Neil wants to spend no more than $60 for his video games, which inequality shows the maximum number of video games, p, that he can buy? 9.98 + 25.01p ≤ 60, so p ≤ 2 9.98 − 25.01p ≤ 60, so p ≤ 4 9.98p + 25.01p ≤ 60, so p ≤ 5 9.98p − 25.01p ≤ 60, so p ≤ 6
Answer:
9.98 + 25.01p ≤ 60, so p ≤ 2
Step-by-step explanation:
I took a test and had this question got the answer you were told wrong
David obtained 10 out of 20 votes in an election. what percentage of the votes did David receive?
how tall is a person whose arm span is 66 inches? What is the arm span of a 74-inch-tall person?
The arm span of 74- inch tall person is 74 inches and height of person with 66 inches arm span is 66 inch.
What is arm span?Your arm span is the distance between the middle fingertips on each hand when you stretch your arms out as far as they can reach.
arm span= 66 inches
As, height of person= 74 inch
The person who is having 66inch arm span also being 66inches in height,
which means the if the arm span is of the 74inch
then man would also be 74inch arm span
This is because your arm span equals your height.
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Final answer:
A person with an arm span of 66 inches is likely to be about 66 inches tall, and a 74-inch-tall person likely has an arm span of about 74 inches. The height in meters of a person who is 6 feet 1.0 inch tall is about 1.8542 meters.
Explanation:
Understanding Arm Span and Height Relationships
The relationship between arm span and height is interesting as they tend to be about the same for an individual. For a person with an arm span of 66 inches, we can estimate that the person's height is approximately the same, around 66 inches. However, this relationship can vary slightly based on individual proportions.
Conversion between Inches and Meters
To convert a person's height from feet and inches to meters, we use the conversion factor 1 meter equals 39.37 inches. For a person who is 6 feet 1.0 inch tall (which equals 73 inches in total), their height in meters would be:
Height in meters = (73 inches) / (39.37 inches per meter) = 1.8542 meters (rounded to four decimal places).
Estimates Based on Anthropometric Data
The arm span of a 74-inch-tall person would again typically be close to their height, so around 74 inches. These estimates are part of anthropometric data, which helps in understanding human body measurements in various fields, including ergonomics, clothing design, and health assessments.
Help I don't know this answer
what is 561 divided by 3
If a point is equidistant from the two sides of an angle, then it is:
A. on the perpendicular bisector.
B. the vertex of the angle.
C. on the angle bisector.
D. on one side of the angle.
A point is equidistant from the two sides of an angle, then it is option (C) on the angle bisector is the correct answer.
What is angle bisector theorem?An angle bisector is a straight line drawn from the vertex of a triangle to its opposite side in such a way, that it divides the angle into two equal or congruent angles.
For the given situation,
Any point that is on the angle bisector is an equal distance ("equidistant") from the two sides of the angle.
A point which is always equidistant from all the sides is the point of intersection of internal angle bisectors.
Hence we can conclude that a point is equidistant from the two sides of an angle, then it is option (C) on the angle bisector is the correct answer.
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Simplify 1/3 (9a+b)-1/2 (4a+2b)
PLEASE HELP!! ISSA DUMB KID!
What is the x coordinate of the vertex of the parabola whose equation is y=3x^2+9x?
A. -3
B. -1 and a half
C. -2/3
Out of 70 student 70% passed how many student passed
70% = 0.70
70 * 0.70 = 49
so 49 students passed
Solve the following equation by factoring. 2x 2 - 5x - 12 = 0
The solutions to the given quadratic equation are x=4 and x= -3/2.
The given quadratic equation is 2x²-5x-12=0.
By splitting the middle term, we get
2x²-8x+3x-12=0
2x(x-4)+3(x-4)=0
(x-4)(2x+3)=0
(x-4)=0 and (2x+3)=0
x=4 and 2x=-3
x=4 and x= -3/2
Therefore, the solutions to the given quadratic equation are x=4 and x= -3/2.
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The map shows Santa Cruz Boulevard and the construction site for the new town hall. Find the equation of a “street” that passes through the building site and is parallel to Santa Cruz Boulevard.
Answer:
the equation of a “street” that passes through the building site and is parallel to Santa Cruz Boulevard[tex]y=\frac{x}{2}+4[/tex]
Step-by-step explanation:
The slope is find by 2 points on line [tex](x_1,y_1)\,\text{and}\,(y_2,y_2)[/tex] is calculated as; [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Equation of line is in slope-intercept form is written as;[tex](y-y_1)=m(x_2-x_1)[/tex]
We can easily take two points from given graphs are
(2,5) and (6,7)
The slope of line is;
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{7-5}{6-2}[/tex]
[tex]m=\frac{2}{4}[/tex]
[tex]m=\frac{1}{2}[/tex]
the slope of line is [tex]\frac{1}{2}[/tex]
Now, find the equation of line with the slope-intercept form
[tex](y-y_1)=m(x-x_1)[/tex]
[tex](y-5)=\frac{1}{2}(x-2)[/tex]
Add both the sides by 5 in above expression,
[tex]y=\frac{1}{2}(x-2)+5[/tex]
[tex]y=\frac{x}{2}-1+5[/tex]
[tex]y=\frac{x}{2}+4[/tex]
Therefore, the equation of a “street” that passes through the building site and is parallel to Santa Cruz Boulevard[tex]y=\frac{x}{2}+4[/tex]
What is the greatest common factor for 12 and 18 and 26
A taxi driver makes $24.50 in an hour, but uses $6.75 worth of gas during that time. What will the driver's total earnings for the hour be, after paying for gas?
Solve for t: d = rt
t = dr
t = r/d
t = d/r
t = d + r
Answer:
t = d/r
Step-by-step explanation:
In order to solve an equation for another term from which is initally solved by another term you just have to leave the term you want to solve the equation for, in this case the "t" and to do so since in this formula it is multiplying the "r" we haec to divide both sides of the equation by "r":
[tex]d=rt[/tex]
[tex]\frac{d}{r} =\frac{rt}{r}[/tex]
Now we eliminate the since they are in both sides of the fraction:
[tex]\frac{d}{r} =\frac{rt}{r}[/tex]
And the function is solved for t.
[tex]t=\frac{d}{r}[/tex]
4a=2b-7 solve for b
anyone know how to do this?
Final answer:
To solve for b in the equation 4a = 2b - 7, you need to add 7 to both sides and then divide by 2. The solution is b = (4a + 7)/2.
Explanation:
To solve the equation 4a = 2b - 7 for b, you want to isolate b on one side of the equation. This means we need to perform operations that will move all other terms away from b.
First, let's add 7 to both sides of the equation to get rid of the -7 that's subtracted from b:
4a + 7 = 2b
Next, we will divide both sides of the equation by 2 to solve for b:
(4a + 7)/2 = b
So, b equals to the expression (4a + 7)/2.
Determine the theoretical probability of rolling a number larger than 3 on a standard 6-sided cube. 1/2, 1/6, 1/4, 1/3
Answer:
Option A is correct.
Step-by-step explanation:
Given: A 6-sided cube is rolled.
To find: Probability of getting a number greater than 3.
Total number of outcome when a 6-sided cube is rolled = 6
Favorable outcome = { 4 , 5 6 }
Number of favorable outcome = 3
Theoretical Probability is a probability based on reasoning written as a ratio of the number of favorable outcomes to the number of possible outcomes.
[tex]Probability=\frac{Number\:of\:favorable\:outcome}{Number\:of\:Total\:outcome}[/tex]
[tex]Probability=\frac{3}{6}=\frac{1}{2}[/tex]
Therefore, Option A is correct.
BEST ANSWER GETS BRAINLIEST
Frank is surveying shoppers about their use of the new food court in a mall. Which question in his survey is a statistical question?
A. How many hours do you spend at the food court each month?
B. Where is the food court located in the mall?
C. How many restaurants are there in the food court?
D. Who is the manager of the food court?
Answer:
Step-by-step explanation:
The answer to this question is answer A.
8x10,000+8x1,000+7x100+6x1
Answer:
STep by step
Step-by-step explanation:
Melanie has a piece of cloth 12 and 1/3 yards long. How many 3/4 yard-long pieces can be cut from the cloth?
Answer: 16 pieces
Step-by-step explanation:
To get the number of pieces, we simply divide 12 1/3 by 3/4
12 1/3 ÷ 3/4
but 12 1/3 = 37/ 4 ( converting to improper fraction)
12 1/3 ÷ 3/4
=37/ 3 ÷ 3/4
= 37/3 × 4/3
= 148/9
= 16. 44444
= 16 approximately
Therefore we can get 16 pieces of yard from the cloth
How many leaves on a tree diagram are needed to represent all possible combinations tossing a coin and rolling a dice
Harvey the wonder hamster can run 3 1/6 km in 1/4 hour find his average speed in kilometers pe hour
there are 4 quarters to 1 hour
3 1/6 x 4 =
19/6 * 4 = 76/6 = 12 4/6, reduces to 12 2/3 km per hour
Answer:- The average speed of Harvey the wonder hamster is[tex]12\frac{2}{3}\ km/hour[/tex].
Explanation:-
Given: Distance traveled by Harvey [tex]=3\frac{1}{6}\ km=\frac{19}{6}\ km[/tex]
Time taken[tex]=\frac{1}{4}\ hour[/tex]
[tex]Speed=\frac{Distance}{Time}\\\Rightarrow\ Speed=\frac{\frac{19}{6}}{\frac{1}{4}}\\\\=\frac{19\times4}{6}\\\\=\frac{38}{ 3}\\\\=12\frac{2}{3}\ km/hour[/tex]
Therefore, the average speed of Harvey the wonder hamster is[tex]12\frac{2}{3}\ km/hour[/tex].