Answers
Answer:
Question 6: The cost of a chocolate bar is $1.20 and the cost of a box of gum is $0.75
Question 7: There were 7 students
Step-by-step explanation:
Question 6:We will be using system of equations which a set of one or more equations involving a number of variables. The solutions to systems of equations are the variable mappings such that all component equations intersect.
Our Variables:
- chocolate bar which will be represent as b in the equation
- box of gum which will be represent as g in the equation
Forming the equations:
Sally -
bought 2 chocolate bars (b)
bought 1 box of gum (g)
to a total of $3.15
so 2b + 1g = $3.15
Evans -
bought 1 chocolate bars (b)
bought 2 box of gum (1)
to a total of $2.70
so 1b + 2g = $2.70
Solving using substation:
2b + 1g = $3.15 we want to isolate b to input into the other equation
1b + 2g = $2.70
2b + 1g = $3.15 subtract 1g from both sides, divided both sides by 2
2b / 2 + 1g - 1g = $3.15 - 1g / 2
b = $3.15 - 1g / 2
Now substation b into the second equation
1b + 2g = $2.70 becomes 1($3.15 - 1g / 2) + 2g = $2.70
simplify,
$3.15 + 3g / 2 = $2.70 isolate g
$3.15 + 3g / 2 x 2 = $2.70 x 2 multiply both sides by 2
$3.15 + 3g = $5.40 subtract $3.15, divided by 3 from both sides
$3.15 - $3.15 + 3g / 3 = $5.40 - $3.15 / 3
g = $5.40 - $3.15 / 3
g = $2.25 / 3
g = $0.75
Now plug in g to get b into any equation:
If Sally equation is used
2b + 1g = $3.15
2b + 1(0.75) = $3.15 → 2b + 0.75 = $3.15
2b + 0.75 - 0.75 = $3.15 - 0.75
2b = $2.40 → 2b / 2 = $2.40 / 2
b = $1.20
If Evans equation is used
1b + 2g = $2.70
1b + 2(0.75) = $2.70 → 1b + 1.50 = $2.70
1b + 1.50 - 1.50 = $2.70 - 1.50
1b / 1 = $1.20 / 1
b = $1.20
Question 7:
Our Variables:
- adult which will be represent as A in the equation
- student which will be represent as S in the equation
Forming the equations:
- sample size: group of 30
- Adult cost $5 (A)
- Student cost $2 (S)
- Five members are free
to a total cost is $104
so A + S = 30 - 5
this is how many of each variable from the total group and we subtract 5 as 5 members were free
so 5A + 2S = $104
Solving using substation:
A + S = 25 we want to isolate a to input into the other equation
5A + 2S = $104
a = 18
s =7
Related Questions
5sq km95 ha8,994sq m+11sq km11 ha9,010sq m
Answers
type english is the answer ok just learn HOW TO TYPE ENGLISH
Answer:
iou213 hr2938ru 298rh243 ru23y
Step-by-step explanation:
po2iu4jrt 2r 23r9p23 r,
r24lon24 f23 r293hr,
dgngo34 9,
Therefore, iou213 hr2938ru 298rh243 ru23y
Find the x- and y-intercept(s) of the line y = -5x + 8.
Answers
Answer:
x-intercept: (8/5, 0)
y-intercept: (0, 8)
Step-by-step explanation:
y = mx + b has y-intercept at b.
y = -5x + 8 has y-intercept at 8. The point is (0, 8).
The x-intercept occurs when y = 0.
-5x + 8 = 0
-5x = -8
x = 8/5
The x-intercept is 8/5, so the point is (8/5, 0).
3x + y = 19 2x + y = 12 the solution of the system is , , , ,
Answers
Answer:
x plus 5 = 2/3
Step-by-step explanation:
PLEASE HELP ME! Write an explicit formula for the sequence, and state whether or not it is geometric.
70, 76,82,88,...
Answers
Answer:
PENDULUM A pendulum swings with an arc length of 24 feet on its first swing. On each swing after the first swing, the arc length is 60% of the length of the previous swing. Draw a graph that represents the arc length after each swing.
75 POINTS Need an immediate answer please brainliest will be given! A train left a station travelling to a city at 30 mph. The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Two hours later a car left the same station and traveled in the same direction to the same city. The car traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Knowing that they both reached the city at the same time, find the distance between the station and the city in terms of miles.
Answers
The value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.
What is the rate of speed?The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,
r=d/t
Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.
The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Let t is the time the train has taken to travel and x is the distance it travelled. Thus,
[tex]t=\dfrac{\dfrac{1}{3}x}{30}+\dfrac{\dfrac{2}{3}x}{40}\\t=\dfrac{x}{90}+\dfrac{x}{60}\\t=\dfrac{2x+3x}{180}\\t=\dfrac{5x}{180}\\t=\dfrac{x}{36}[/tex]
After two hour a car left the same station traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Let t is the time the car has taken to travel and x is the distance it travelled. Thus,
[tex]t+2=3+\dfrac{(x-3\times35)}{51}[/tex]
As t is same, thus put the value of t in this equation,
[tex]\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=1+\dfrac{(x-105)}{51}\\\dfrac{x}{36}=\dfrac{(51+x-105)}{51}\\51x=36x-54\times36\\51x-36x=1944\\x=\dfrac{1944}{15}\\x=129.6[/tex]
Thus, the value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.
Learn more about the rate of speed here:
https://brainly.com/question/359790
#SPJ1
what is the y intercept of F(x) = 1000(2)[tex]x^{2}[/tex]
Answers
Answer:
The y-intercept is 0
Step-by-step explanation:
y = mx + b
b is y-intercept
There are no constants in this equation
The diagram shows a square pizza box with side lengths of 16 inches. In the box is a circular pizza with a radius of 8 inches. What is the difference between the area of box and the pizza?
Answers
Answer:
54.9381 square inches
Step-by-step explanation:
Find the areas of both the square box and the circular pizza.
The equation for the area of a square is A = s^2. (or A = lw)
A = 16^2 = 256 square inches
The equation for the area of a circle is A = πr^2.
A = π(8^2) = 64π = 201.0619 square inches
Now subtract the areas.
256 - 201.0619 = 54.9381 square inches
PLEASEE HELPPPPPPP QUICKLY
Answers
Answer:
A
Step-by-step explanation:
A. 23÷49
Using this method from Internet, it occurs to be the least fraction is A which meaning least likely to happen.
Mrs. Smith gave a math test. The following stem and leaf plot shows the scores of all of her students.
How many students took Mrs.Smiths math test?
Answers
The number of students that took Mrs. Smith's Math test as dshown in the stem-and-leaf plot is: 20.
What is a Stem-and-Leaf Plot?A stem-and-leaf plot displays a data distrubution as follows, i.e., if 56, 57 are data points, 5 would be the stem while 6, 7 will be the leaf (5 | 6, 7).
The data points in the stem-and-leaf plot shown represents the score of each of the student. There are 20 data points.
Therefore, the number of students that took the test is: 20.
Learn more about the stem-and-leaf plot on:
https://brainly.com/question/8649311
#SPJ1
find the value of p and x
Answers
Answer:
see photo for detailed analysis
Step-by-step explanation:
30% of Elm trees have a certain disease. If you sample 80 elm trees, what is the probability that less than 20 trees have the disease?
Answers
The probability that less than 20 trees have the disease is; 0.135
How to find the Probability?
The formula for binomial probability is;
P(X = x) = ⁿCₓ * pˣ * (1 - p)⁽ⁿ ⁻ ˣ⁾
We are told that 30% of Elm trees have a certain disease. Thus;
p = 30% = 0.3
n = 80
x = 20
Thus, probability that less than 20 trees have the disease is;
P(X < 20) = P(X = 0) + P(X = 1) + P(X = 2) + ....... + P(X = 19)
Using a binomial probability calculator online gives us;
P(X < 20) = 0.135
Read more about Binomial Probability at; https://brainly.com/question/15246027
#SPJ1
A bag contains 4 red, 7 blue, and 3 white marbles. Find the probability of randomly picking a red marble, keeping the marble, and then picking a blue marble.
Answers
Answer:
Probability of red marble- 4/14
Probability of blue marble- 7/10
Hope this helps!
Find the area of a sector of a circle whose central angle measures π/4 radians and whose radius is 4 cm. Express In terms of π and as a decimal.
Answers
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=4\\ \theta =\frac{\pi }{4} \end{cases}\implies A=\cfrac{ ~~ \frac{\pi }{4} ~~ (4)^2}{2}\implies A=2\pi \implies A\approx 6.28[/tex]
-2x-11y=26;3x-y=24 I have to write it in elimination method
Answers
Answer:
x=34/5 y= -18/5
Step-by-step explanation:
check the image above since it works on fractions it will be too messy in typing
Please help me solve this trig problem!
Answers
Answer:
the awnser I got is 279
Step-by-step explanation:
if it's wrong I'm so sorry I'm not the best at math >-<
Answer: 105.66 ft
Step-by-step explanation:
Here is the question
Answers
Answer:
D.Domain: All real numbersRange: -37Step-by-step explanation:
f(x) = -37 it is a constant function. For any real number, the function takes the value -37.
Therefore
Domain is all real numbers
Range is only one number, -37.
Why is a recipe a good example of procedural writing? Check all that apply.
options:
A. Making a recipe requires materials.
B. Recipes have a method, or a sequence of steps.
C. Making a recipe requires experience.
D. All recipes have a goal.
E. Recipes are fun to make.
F. Users can determine whether the recipe was successful.
Answers
Answer: A, B, D, F
Explanation:
Edge 2022
Answer:
A, B , D, F
Step-by-step explanation:
These are a good example of procedural writing
Hope it helped ! Mark me as Brainliest pls !
Determine the next three terms in the following sequence:
2,3,5,8,__, __, __, …
a. 13, 19, 26
b. 12, 17, 23
C. 12, 16, 20
d. 13, 17, 23
Please select the best answer from the choices provided
Answers
Which of the following rational functions is graphed below?
Answers
Answer:
The answer should be C.
Step-by-step explanation:
It is C because you need to do first is to find is just the vertical asymptote of the function and to plug in the x values behind the vertical asymptote.
Find the area of the figure below, formed from a triangle and a rectangle, in square centimeters.
Answers
Answer:
44 square cm
Step-by-step explanation:
Total Area = Area of triangle + Area of rectangle
= (1/2 * base * height) + (Length*Width)
= (1/2 × 8 × 6) + ( 10 × 2)
= 24 + 20
= 44 square cm
give that x=2 ,y=3 and z= 4 find the value of each expression.
a.4y-x
Answers
Answer:
10
Step-by-step explanation:
You just have to plug in the values :)
Since y = 3 and x = 2:
4y - x = 4(3) - 2 = 12 - 2 = 10
Answer:
10
____
[tex]\sf Part[/tex] I
⋆ [tex]\sf Given~y~and~x~are~3~and~2...[/tex]
⋆ [tex]\sf Use~the~values~to~solve[/tex]
____
[tex]\sf Part[/tex] II
[tex]4y-x\\(4y)-x\\(4*y)-x\\(4*3)-2\\= 10[/tex]
When 12 is multiplied by a fraction less than one, which of the following is true about the product.
Answers
(I don't know what are the answer choices, but I'm sure this should be one of the choices:)
Answer:
The product of 12 multiplied with a fraction less than 1 will be less than 12 itself.
Step-by-step explanation:
This is true because if you multiply 12 by (for example) 1/2, then your answer is going to be 6 since 12x1=12 itself, and 12x0=0. So that's why, if it's less than 1, then the product is going to be less than 12 itself.
Hence, one of the answer choices can be something like: The product will be less than 12 itselfSuppose a random sample of biweekly snowfalls in the pacific northwest has a sample mean of x¯=22.2 inches, with a sample standard deviation of s=3.5 inches. Since snowfall amounts in this area are generally symmetric and bell-shaped, we can apply the Empirical Rule.
Between what two amounts are approximate 99.7% of the data?
Answers
Using the Empirical Rule, it is found that 99.7% of the data will be between 11.7 and 32.7 inches.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, considering the mean and the standard deviation of the data-set, the bounds between which 99.7% of the data-set are given by:
22.2 - 3 x 3.5 = 11.7 inches.22.2 + 3 x 3.5 = 32.7 inches.More can be learned about the Empirical Rule at https://brainly.com/question/24537145
#SPJ1
Answer: 11.7 & 32.7
Step-by-step explanation:
Approximately $99.7\%$ of the snowfall amounts are between 1$$ inches and 2$$ inches.
Correct answers:
1: 11.7 2: 32.7
The Empirical Rule states that approximately 99.7% of the data is within 3 standard deviations of the mean. In terms of the sample mean x¯ and sample standard deviation s, that is between x¯−3s and x¯+3s.
The value 3 standard deviations below the mean is
x¯−3s=22.2−3(3.5)=11.7.
The value 3 standard deviations above the mean is
x¯+3s=22.2+3(3.5)=32.7.
So by the Empirical Rule, we can say that approximately 99.7% of the snowfall amounts are between 11.7 and 32.7 inches.
Solve 3a + 2a = 10
How to work this out?
Answers
Answer:
the answer is that a=2
Step-by-step explanation:
Answer:
3a+2a=10
=5a = 10
=[tex]\frac{5a}{5}[/tex]=[tex]\frac{10}{5}[/tex]
=[tex]\frac{10}{5}[/tex]=2
therefore: x=2
Step-by-step explanation:
Hope it helps
Find the area of a rectangle whose sides are 2a and 3a
Answers
Answer:
6a^2
Step-by-step explanation:
2a x 3a
a x a = a^2
2 x 3 = 6
2a x 3a = 6a^2
2a × 3a
a × a = a²
2 × 3 = 6
2a × 3a = 6a²
Step-by-step explanation:
✯Hope this helps✯✿..๑...Ziddi girl ♡..✧
When Lance goes jogging, his heart rate increases to pump blood faster and
supply his muscles with more
oxygen to move quicker. Which two interaction
of body systems would help lance go back to homeostasis?
Select one:
•
muscular and circulatory
•
digestive and circulatory
•
excretory and circulatory
•
respiratory and digestive
Answers
The correct answer is option A
I need the answer please help quick
Answers
Answer:
68
Step-by-step explanation:
that is the answer to the question above
The dot plots below show the weights of the players of two teams:
Team C
120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140
Weight (pounds)
Team D
120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140
Weight (pounds)
Based on visual inspection of the dot plots, which team appears to have the larger
mean weight? (5 points)
1. Not enough information is available to draw a conclusion
2. Both groups are similar
3. Team C
4. Team D
Answers
The value of the mean of team C and team D will be equal. Then the correct option is B.
What is Mean?The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency. Arithmetic mean is a term used to describe the average. It's the percentage of the actual number of observations to the sum of the observations.
The dot plots below show the weights of the players of the two teams:
Team C
120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140. Weight (pounds)
Team D
120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140. Weight (pounds)
Then the mean of team C will be
[tex]\mu _c = \dfrac{120 +121 +122 +123 +124 +.....+139 +140}{21}\\\\\mu _c = \dfrac{2730}{21}\\\\\mu _c = 130[/tex]
Then the mean of team D will be
[tex]\mu _d = \dfrac{120 +121 +122 +123 +124 +.....+139 +140}{21}\\\\\mu _d = \dfrac{2730}{21}\\\\\mu _d = 130[/tex]
Then the value of the mean of team C and team D will be equal.
More about the mean link is given below.
https://brainly.com/question/521501
#SPJ1
please help these are two separate questions
Answers
Answer:
Question 7: 64
Step-by-step explanation:
Let me know if you need more help !!
Step-by-step explanation:
hopefully the picture uploads
Hi, I'm struggling on level 2 for
express Express 20 cm as a fraction of 3 m. Then give the fraction in its simplest form.
Answers
Answer:
Step-by-step explanation:
we know 100 cm are in one meter, so, 3 meters = 300 cm
then 20/300 = 20 cm of 3 meters , now just reduce the fraction
20/300
= 2 / 30
= 1/15
see??
