Answer: $1.25
Step-by-step explanation:
Let the cost of cracker be a.
Let the cost of cookies be b.
Let the cost of candy bars be c.
From the question,
6a + 6b + 6c = $21
8a + 5b + 10c = $26
5a + 4b + 7c = $18.50
To solve this, we first pick any two pairs of equation. This will be:
6a + 6b + 6c = $21 ....... i
8a + 5b + 10c = $26 ....... ii
Multiply equation i by 8
Multiply equation ii by 6
48a + 48b + 48c = $168 ....... iii
48a + 30b + 60c = $156 ....... iv
Subtract equation iv from iii
18b - 12c = 12
We then pick another two pairs
8a + 5b + 10c = $26
5a + 4b + 7c = $18.50
Multiply equation i by 5
Multiply equation ii by 8
40a + 25b + 50c = $130
40a + 32b + 56c = $148
Subtract the equations
-7b - 6c = -18
Then, solve the new equations formed
18b - 12c = 12 ....... v
-7b - 6c = -18 ....... vi
Multiply equation i by -7
Multiply equation ii by 18
-126b + 84c = -84
-126b - 108c = -324
Subtract the equations
192c = 240
c = 240/129
c = $1.25
From equation v, put the value of c
18b - 12c = 12
18b - 12($1.25) = 12
18b - $15 = $12
18b = $27
b = $27/18
b = $1.5
Since,
6a + 6b + 6c = $21
6a + 6($1.5) + 6($1.25) = $21
6a + $9 + $7.5 = $21
6a + $16.5 = $21
6a = $21 - $16.5
6a = $4.5
a = $4.5/6
a = $0.75
One candy bar cost $1.25
The cost of one candy bar is $1.5 and this can be determined by forming the linear equation with the help of given data.
Given :
Miss Croft made snack bags for the picnic that contain three types of snacks: packages of crackers, packages of cookies, and candy bars.A snack bag containing 6 of each type of snack costs $21.00. A snack bag containing 8 packages of crackers, 5 packages of cookies, and 10 candy bars costs $26.00. A snack bag containing 5 packages of crackers, 4 packages of cookies, and 7 candy bars costs $18.50.Form the linear equation in order to determine the cost of one candy bar. Let 'x' be the cost of crackers, 'y' be the cost of cookies, and 'z' be the cost of candy bars.
So, the linear equation that represents the situation "A snack bag containing 6 of each type of snack costs $21.00" is:
6x + 6y + 6z = 21 --- (1)
The linear equation that represents the situation "A snack bag containing 8 packages of crackers, 5 packages of cookies, and 10 candy bars costs $26.00" is:
8x + 5y + 10z = 26 --- (2)
The linear equation that represents the situation "A snack bag containing 5 packages of crackers, 4 packages of cookies, and 7 candy bars costs $18.50" is:
5x + 4y + 7z = 18.50 --- (3)
Simplify all three equations in order to determine the value of 'x', 'y', and 'z'.
z = $1.25
y = $1.5
x = $0.75
For more information, refer to the link given below:
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Evaluate the following expression,
5x [7+ (10-2) + 4)
Answer: 95x
Step-by-step explanation: Remove parentheses. 5x(7+10-2+4)
Add 7 and 10.
5x(17-2+4)
Add 15 and 4.
5x multiped by 19
Multiply 19 by 5
95x
all of the following have the same value except A, B, C, D
Answer:
? What is the question?
Step-by-step explanation:
Answer:
where is the rest of the question,,?
Step-by-step explanation:
A line passes through the point. (4, -7) and has a slope of 5/2
Write an equation in slope-intercept form for this line.
t p = through point
s = slope
[tex]y - y(t \: p) = (s) \times ( \: x - x(t \: p) \: ) \\ [/tex]
[tex]y - ( - 7) = \frac{5}{2} \times (x - 4) \\ [/tex]
[tex]y + 7 = \frac{5}{2} \times (x - 4) \\ [/tex]
[tex]y + 7 = \frac{5}{2}x - \frac{5 \times 4}{2} \\ [/tex]
[tex]y +7 = \frac{5}{2}x - \frac{20}{2} \\ [/tex]
Subtract both sides -7
[tex]y = \frac{5}{2}x - 10 - 7 \\ [/tex]
[tex]y = \frac{5}{2}x - 17 \\ [/tex]
And we're done....
♥️♥️♥️♥️♥️
The equation in slope-intercept form is y= 5/2x - 17.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Slope = 5/2
and, point (4, -7).
Using Slope- intercept form
y = mx + b
y= 5/2x + b
As, the line passes through (4, -7)
-7 = 5/2(4) + b
-7 = 5(2) + b
-7 = 10 + b
b= -17
So, the Equation of line is y= 5/2x - 17.
Learn more about slope here:
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solve for z 3=(z+1) write your answers as integers or as proper or improper fractions
Answer:
z=2
Step-by-step explanation:
Just solve
1 + z = 3 (minus 1 on both sides)
z = 2
Plug in
3=(2+1)
3 = 3
The equation y = 2.50x determines the total cost, y, of buying carnival tickets
Step-by-step explanation:
The given equation or expression is used to determine the total cost of buying carnival tickets.
the total cost is y
Also from the expression the cost of a ticket is $2.5
and x represents the number of tickets
now say x=5, that is 5 tickets, then the cost of buying the 5 tickets is given as
y=2.5(5)
y=12.5
Hence the cost of 5 tickets is $12.5
Find mangleQ
An image of two horizontal lines intersecting two diagonal lines is shown.· Both of the horizontal lines have a right arrow labeled on them.
· One of the diagonal lines extends from the upper left corner to the lower right corner.
· The other diagonal line extends from the upper right corner to the lower left corner.
· Both diagonal lines intersect with the top horizontal line in the upper left corner of the image.
· Six angles are formed at the intersection of these three lines.
· Angle upper Q is the angle at the top formed by the two diagonal lines.
· Moving clockwise around the intersection, angle upper R is formed by the horizontal line and the diagonal line extending from the upper right corner to the lower left corner.
· Moving clockwise around the intersection, the next two angles are unlabeled.
· The next angle is labeled 76 degree sign, and the last angle is unlabeled.
· Four angles are formed at the intersection of the lower horizontal line and the diagonal line that extends from the upper left corner to the lower left corner.
· The angle in the lower right position at this intersection is labeled 38 degree sign.
A. 76
B. 104
C. 66
D. 114
Answer:
66
Step-by-step explanation:
i just did this assignment and it said this was the right answer
Pls help for Algebra 11b = 143
Answer:
b= 13.................................
Step-by-step explanation:
143/11
In response to the increasing weight of airline passengers, the Federal Aviation Administration in 2003 told airlines to assume that passengers average 192 pounds in the summer, including clothing and carry-on baggage. But passengers vary, and the FAA did not specify a standard deviation. A reasonable standard deviation is 31 pounds. Weights are not Normally distributed, especially when the population includes both men and women, but they are not very non-Normal. A commuter plane carries 21 passengers. What is the approximate probability that the total weight of the passengers exceeds 4432 pounds
Answer:
The approximate probability that the total weight of the passengers exceeds 4432 pounds is 0.2709
Step-by-step explanation:
[tex]\mu = 192[/tex]
[tex]\sigma = 31[/tex]
No. of passengers = n = 21
We are supposed to find the approximate probability that the total weight of the passengers exceeds 4432 pounds
[tex]x = \frac{4432}{21} \sim 211[/tex]
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{211-192}{31}[/tex]
Z=0.612
refer z table
P(Z<211)=0.7291
P(Z>211)=P(Z>4432)=1-0.7291=0.2709
Hence the approximate probability that the total weight of the passengers exceeds 4432 pounds is 0.2709
PLS HELP I WILL GIVE BRAINLIEST AND 50 POINTS!!!
Foot Length Forearm length
7 9
8 10
9 11
10 12
11 13
Part 1: Select two sets of points and find the rate of change for your data.
Part 2: Describe your results. If you had to express this relation as a verbal statement, how would you describe it?
the the rate of change is two if you had to describe this a verbal statement you would say each point goes up by two every point.
Maria found the least common multiple of 6 and 15. Her work is shown below.
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60,...
Multiples of 15:15, 30, 45, 60, ...
The least common multiple is 60.
What is Maria's error?
Answer:
answer B
Step-by-step explanation:
just got it right on the test.
Answer:
the answer is B, Maria listed factors of each number instead of multiples.
Step-by-step explanation:
Can someone draw this for me? NEED HELP
It's for a test. Will make you brainliest!!!!!
Answer:
Step-by-step explanation:
Which number has a 5 that represents a value ten times greater than the value represented by the 5 in 41,253 ?
Wouldn't the answer be any number which has the hundredths place as a 5? For example, 23,521.
As 50 x 10 = 500 and the 5 in 23,521 represents 500.
how many minutes will it take the school bus to complete the 52-km trip back to the school at an average speed of 1.0 km/min?
Answer:
52 min
Step-by-step explanation:
Can y’all help me with this worksheet please
Answer:
#1
Step-by-step explanation:
-10 + 4 i
please help Im in class
Answer:
sorry cant help
Step-by-step explanation:
Answer:
8/10=2nd 3rd =2 4th=3/5
A coin is tossed and -sided die numbered 1 through is rolled. Find the probability of tossing a and then rolling a number greater than .
Complete question :
A coin is tossed and a die is rolled. Find the probability of tossing a tail and then rolling a number greater than 2.
Answer : 1/3
Step-by-step explanation:
For a coin :
Sample space = (T, H)
Probability = required outcome / Total possible outcomes
Probability of tail, p(T) = 1 / 2 = 0.5
For a fair die:
Sample space = (1, 2, 3, 4, 5, 6)
Required outcome = number greater than 2 = (3, 4, 5, 6) = 4
P(number greater than 2) = 4/6 = 2/ 3
Hence, probability of a tail, then a number greater than 2 :
(1/2 * 2/3) = 2 /6 = 1/3
the other one is 27
Answer:
the scale factor is 9 and x = 58.5
Step-by-step explanation:
to get the scale factor just do DE/AB so 27/3
SOMEONE PLEASE HELP QUICK
Please help me find the missing measurements of this :)
Answer:
4mm
Step-by-step explanation:
The ratio of the two congruent shapes are 2.5:1
15 : 6 = 2.5 : 1
15/6 = 2.5
5 : 2 = 2.5 : 1
5/2 = 2.5
Therefore, 10 : x = 2.5 : 1
10/x = 2.5
x = 4
Answer: 15, 2, 6, and 5
Step-by-step explanation: they are equal to the measurements listed
4. Gladys paid for 4 pallets of grass to be delivered.
Each pallet of grass costs $134.80.
• Gladys paid $55.95 for delivery.
What is the total amount Gladys paid?
O A. $595.15
OB. $763.00
OC. $539.20
OD. $358.60
Step-by-step explanation:
4×134.80 +55.95
539.2+55.95 =$595.15
the answer is A
Answer:
the answer is A
Step-by-step explanation:
my teacher went over the question and i just want to help :)
If m<7 is 2x + 30 and m<28 is 3x - 10, find the
following:
Answer:
x = 32
m∠7 = 94
m∠8 = 86
m∠3 = 94
Step-by-step explanation:
(2x + 30) + (3x - 10) = 180
5x + 20 = 180
5x = 160
x = 32
m∠7 = 2(32) + 30 = 94
m∠8 = 3(32) - 10 = 86
or
m∠8 = 180 - 94 = 86
m∠3 ≈ m∠7 (corresponding angles)
Learning Task 2: Solve each problem using the application of LCM and
GCF
1.) In Art class, Mrs. Lucia had 36 sheets of green paper and 42 sheets of
blue paper. If Mrs. Lucia wanted to give an equal number of each type of
paper, how many sheets of paper should each pupil get?
Answer:
Each pupil get 6 sheet
Step-by-step explanation:
Given:
Number of green sheet = 36
Number of blue sheet = 42
Find:
Common factor
Computation:
36 = 6 x 6
42 = 6 x 7
So, 6 is a common factor
Each pupil get 6 sheet
Each student should get 6 papers
The lowest common multiple is the smallest factor of a set of numbers.
The highest common factor is the biggest factor of a set of numbers.
A multiple of a number is a number that can divide another number without a remainder.
Factors of 36 =1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 42 = 1, 2, 3, 6, 7, 14, 21, and 42.
The common factors of both numbers are : 1,2,3,6
Each student should get 6 papers
To learn more about highest common factor, please check: https://brainly.com/question/18650233?referrer=searchResults
100 points please help ! What is the name of the line of reflection for the pair of figures
Answer:
Hey!
I think the line must be LINE R
Step-by-step explanation:
As you can see it must be the Line of Reflection for both figures because it is EQUIDISTANT (equal distance from the 2 shapes). It runs PARALLEL in angle to the shapes too...
It can't be Line P because the line does not produce equal shapes on either side of it...
It can't be Line Q because it only provides the reflection result on one of the shapes, not BOTH...
So your answer is Line R
I HOPE THIS HELPED YOU!**pls let me know if its wrong**
The original cost of a TV is $800. It is currently in sale for 25% off. What is the price if TV on sale?
a. $200
b. $775
c. $600
d $1000
1. The perimeter of a rectangular field is 180 feet. Let x be the length of the field (in feet) and let y be the width (in feet). Write an equation to model the perimeter of the rectangular field.
Also this question so there's 2 questions
2. Tyrone is designing a rectangular sandbox. He wants the sandbox to be 15 feet long and have a perimeter of 46 feet. How wide does Tyrone’s sandbox need to be?
Answer:
1. 2(x + y) = 180
2. His sandbox needs to be 8 ft wide.
Find the x - and y-intercepts of the graph of the linear equation –6x + 9y = -18
Answer:
x-intercept = -6 y-intercept = 9
Step-by-step explanation:
Find the solution set for this inequality -2 x + 4 > -4x + 8.
Answer:
x > 2
Step-by-step explanation:
Do these ratios form a proportion?
3 parents to 10 children
6 parents to 15 children
yes
no
Answer:
nope
Step-by-step explanation:
Answer:
no they are not
Match the scenario with the law of logic it illustrates.
Question 1 options:
__Law of Syllogism
__Not a valid conclusion has been made.
__Law of Contrapositive
__Law of Detachment
1.
If it is raining, I will use an umbrella.
It is raining.
Therefore, I will use an umbrella.
2.
If the sun sets, it will be dark outside.
It is not dark outside.
Therefore, the sun hasn't set yet.
3.
If I do well on my assignments, my grade will improve.
If my grade improves, my parents will be happy.
Therefore, if I do well on my assignments, my parents will be happy.
4.
If I cook dinner, my daughter will eat.
My daughter ate.
Therefore, I cooked dinner.
I just took this and got an A, so here are the answers :)
Make sure to take notes or put this with your notes! :))
Answer:
Law of Syllogism: 3
If I do well on my assignments, my grade will improve.
If my grade improves, my parents will be happy.
Therefore, if I do well on my assignments, my parents will be happy.
Not a valid conclusion has been made: 4
If I cook dinner, my daughter will eat.
My daughter ate.
Therefore, I cooked dinner.
Law of contrapositive : 2
If the sun sets, it will be dark outside.
It is not dark outside.
Therefore, the sun hasn't set yet
Law of Detachment: 1
If it is raining, I will use an umbrella.
It is raining.
Therefore, I will use an umbrella.
explanation:
Syllogism:
p → q and q → r then p → r is also true.
Contrapositive:
If not q, then not p.
Detachment:
If p , then q
Who’s good at 11 grade math pleasee help me comment o this :(
