Given:
Admission to the local movie theater is $3 for each child and $7 for each adult.
A group of 12 people pay $64 admission.
To find:
The number of children in a group.
Solution:
Let the number of children be x and number of adults be y.
According to the question,
Total persons : [tex]x+y=12[/tex] ...(i)
Total cost : [tex]3x+7y=64[/tex] ...(ii)
Multiply equation (i) by 7 and subtract the result from (ii).
[tex]3x+7y-7(x+y)=64-7(12)[/tex]
[tex]3x+7y-7x-7y=64-84[/tex]
[tex]-4x=-20[/tex]
Divide both sides by -4.
[tex]x=5[/tex]
Therefore, the number of children is 5.
A number increased by 15 is greater than 124. find the smallest integer that satisfies the inequality,
Answer:
This description translated into an inequality is
x + 15 > 124
x > 109
X is greater than 109
This means that the smallest integer that satisfies this inequality is 110 because X cannot be 109 or less; it is greater than 109.
We did not say 109.1 or 109.2 or 109.99 because it is asking for an integer, which cannot be a decimal.
Answer is 110
a large study used records from canada's national health care system to compare the effectiveness of two ways to treat prostate disease. The two treatments are traditional surgery and a new method that does not require surgery. The records described many patients whose doctors had chosen each method. The study found that patients treated by the new method were significantly more likely to die within 8 years. You have 300 prostate patients who are willing to serve as subjects in an experiment to compare the two methods. Describe a completely randomized design for this experiment. Write a few sentences describing how you would implement your design.
Answer:
compile the list of the 300 prostate patients considering various diversities i.e. various ages, various stages of the disease, various racial, social and economic background , various lifestyles as well.divide the sample into two groups, ensuring that each group is diversified equallyAssign each group to the one of the two treatment proceduresfollow up on the different group after treatmentcompare the measurable variables from both groups after treatment in order to determine which treatment method is bestStep-by-step explanation:
A completely randomized design for this experiment can be carried out following the following steps
compile the list of the 300 prostate patients considering various diversities i.e. various ages, various stages of the disease, various racial, social and economic background , various lifestyles as well.divide the sample into two groups, ensuring that each group is diversified equallyAssign each group to the one of the two treatment proceduresfollow up on the different group after treatmentcompare the measurable variables from both groups after treatment in order to determine which treatment method is bestPreston bought 16 donuts. There were d donuts in each box. Choose the expression that shows how many boxes of donuts Preston bought
Answer:
What are the option?
Step-by-step explanation:
Can anyone answer these
(simplify to find the quotients)
What is the value of the expression below when x=10x=10 and y=4y=4? 8x-7y 8x−7y
Answer:
X=10x =10
means here value of X is 1
y = 4y = 4
means here value of y is also 1
now substitute the values of X and y in the equation
8×1-7×1×(8×1-7×1)
8-7(8-7)
64-49
15
Mia has 20 markers, Noah has 25 markers, and Michael has 85 markers. Use the GCF and the
Distributive Property to find the total number of markers Mia, Noah, and Michael have.
Write each number as a product using the GCF as a factor, and apply the Distributive Property.
20 + 25 +85 =
(Use the operation symbols in the math palette as needed.
Answer:
130Step-by-step explanation:
Factoring the given numbers:
20 = 2*2*525 = 5*585 = 5*17CGF(20,25,85) = 5
The sum of given numbers:
20 + 25 + 85 = 5*4 + 5*5 + 5*17 = 5*(4 + 5 + 17) = 5*26 = 130Heeeeellllllllllllpppppppppp
need help with slope from two points
Answer:
whatz slope
Step-by-step explanation:
??
SECTION 2012
QUESTION OF
ASSIGNMENTS
COURSES
Assignment - 4. Continued Proofs: Transversals and Special Angles
Attempt 1 of 4
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none,
then select none.
When m_7 = m_4
O AB || DC
O none
O AD || BC
NEXT QUESTION
ASK FOR HELP
TURN IT IN
What answer it is . Will mark brainliest
mr cadwell wants to purchase a motorcycle. he has financing options a and b to chose from, as shown below.
Option A-
Down Payment: $1,000
Monthly payment for 3 years: $85
Option B-
Down payment: $1,200
Monthly Payment for 3 years: $85
The purchase of the motorcycle is $3,500, including tax. Based on the info provided in the table, which statement is true?
Option B is better
Option A is better
Answer:
Option A is better.
Step-by-step explanation:
We will observe both plans one by one to determine which one is better i.e. which one will has less interest to pay.
So,
Option A:
Down Payment: $1,000
Monthly payment for 3 years: $85
The total amount in installments will be:
[tex]=Amount\ per\ month * months\\= 85*36\\=3060[/tex]
The total price of bike will be:
[tex]Total\ price = Downpayment +Installments\\= 1000+3060\\= 4060\\Interest = Total\ price - Purchase \\= 4060-3500\\=560[/tex]
Option B:
Down Payment: $1,200
Monthly payment for 3 years: $85
The total amount in installments will be:
[tex]=Amount\ per\ month * months\\= 85*36\\=3060[/tex]
The total price of bike will be:
[tex]Total\ price = Downpayment +Installments\\= 1200+3060\\= 4260\\Interest = Total\ price - Purchase \\= 4260-3500\\=760[/tex]
We can see that interest in Option A is less than interest in Option B that means Mr. Cardwell will have to pay less amount in Option A.
Hence,
Option A is better.
An ice cream shop sells large cones for $2.50 and small cones for $1.50. Jack has enough money to buy 21 large cones. How many small cones could Jack buy?
plz healp
Answer:
the answer is 35 small cones
Step-by-step explanation:
2.50 x 21 = 52.50
52.50 / 1.50 = 35
PLEASE HELP I WILL GIVE YOU BRAINLEST!!!!!!!!!!!!!!
Answer:
the answer is 45 because 55+45=100
Step-by-step explanation:
brainliest pls
Answer:
he scored 45 points in the 3rd. for the second part i dont know how to do
Find the slope of the line that contains the ordered pairs. a. (4, 2) and (7, 6.5) b. (10, 8) and (-5, 8) c. (1, -3/4) and (4, -3) d. (18, -7) and (18, 2)
Answer:
What line? S...... Sss
first 10 didgts of pi
I guess I did not know how to answer sorry
Answer: thefirst ten didgets of pi are .1415926535
Step-by-step explanation:
HELP ME FIND THE SLOPE PLS
Answer:
6
Step-by-step explanation:
Find 2 points that are connecting integers
y2-y1/x2-x1(use this to find slope)
(3,3)(2,-3)
-3-3/2-3
-3-3=-6
2-3=-1
-6/-1=6
Therefore, slope is 6
Which Figure is a rotation of the Blue Figure?
A
B
C
D
Answer:
a
Step-by-step explanation:
the green figure is the same as the blue figure.
Answer to this :0000 thanks!
Answer:
B
Step-by-step explanation:
have a nice day :)
Find each unit rate. Determine which is lower. Drag and drop the correct rate or letter into each of the boxes to complete the sentences. Ingredient C: 1/5 cup for 3/4 serving or Ingredient D: 1/4 cup for 4/5 serving.
Answer:
4/15 < 5/16
Ingredient C < Ingredient D
Hence ingredient C has a lower cup per serving than ingredient D
Step-by-step explanation:
Given the unit rates :
C: 1/5 cup for 3/4 serving or Ingredient
D: 1/4 cup for 4/5 serving
C : 1/5 cup for 3/4 serving
1/5 ÷ 3/4
1/5 * 4/3
= 4 / 15
= 0.2667
D: 1/4 cup for 4/5 serving
1/4 ÷ 4/5
1/4 * 5/4
= 5 / 16
= 0.3125
5/16 > 4/15 ;
Ingredient C < Ingredient D
Hence ingredient C has a lower cup per serving than ingredient D
Evaluate 7y - 3y for y=3
7 . 3 - 3 . 3
= 21 - 9
= 12
Just substitute you y = 3 into the equation
Answer:
The correct answer is 12.
Step-by-step explanation:
To solve this problem, we must plug in 3 for each occurrence of y in the expression because we are given that y = 3. In this case, we will get the following:
7y - 3y
7(3) - 3(3)
To evaluate, we must simplify this expression. Due to the order of operations, we should compute the multiplication first. 7*3 = 21 and 3*3=9, so we can plug in these values into our expression.
21 - 9
Now, we can perform the subtraction.
21-9=12
Therefore, the correct answer is 12.
Hope this helps!
Solve the equation. Determine the number of solution. -8(x - 3) = -8x-24
No solution
O One solution
0 Infinitely many solutions
The answer is no solution
a company employees 100 people, 65 of whom are men. 60 people, including all the women, are paid weekly. how many of the men are paid weekly
Answer:
25 men
Step-by-step explanation:
100 - 65 = 35 women
60 - 35 = 25 men
Answer: 25
Step-by-step explanation:
Amount of ppl: 100
Men: 65
Woman: (100-65) =35
People paid (all woman are in this group) 60
Woman paid: 35
Men paid: (60-35) =25
Add and reduce: 1 1/2 + 2 2/3
the answer is 2 13/5 you cant reduce it its not a proper equation
Answer:
4 1/6
Step-by-step explanation:
1 1/2 + 2 2/3
1 3/6 + 2 4/6
= 4 1/6
hope this helps
have an amazing day!
simplify:
3х + 5y-x+ 2y
&
3g + 5h +4g - 2h
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]3x + 5y - x + 2y = [/tex]
[tex]3x - x + 5y + 2y = [/tex]
[tex](3 - 1)x + (5 + 2)y = [/tex]
[tex]2x + 7y[/tex]
_________________________________
[tex]3g + 5h + 4g - 2h = [/tex]
[tex]3g + 4g + 5h - 2h = [/tex]
[tex](3 + 4)g + (5 - 2)h = [/tex]
[tex]7g + 3h[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Pls help me
-18x + 30 = -150
Answer:
x=10
Step-by-step explanation:
-18x + 30 = -150
subtract 30 from both sides = -18x=-180
divide both sides by -18 = x=10
x=10
Can you guys plz help me
Answer:
[tex]\frac{20}{12}[/tex]
Step-by-step explanation:
Answer:
20/12 since 3*4 is 12 u do 5*4
Step-by-step explanation:
Please mark brainliest and hope this helps ya!!
You and a friend are paid $38.25 for doing yard work.
You worked 2.5 hours and your friend worked 2 hours.
You split the money according to the amount of time
each of you worked.
How much money did you make in an hour?
Which statement is true about figures ABCD and A'B'C'D?
Answer:
Step-by-step explanation:
To understand the transformation better we will take a point B first.
Coordinates of B → (3, 0)
When we rotate this point by 180° counterclockwise about the origin, rule to be followed,
(x, y) → (-x, -y)
By this rule, coordinates of B'' will be,
B(3, 0) → B''(-3, 0)
Now we translate the point B by 2 units right.
Rule for the translation is,
(x, y) → [(x + 2), 0]
Following this rule,
B''(-3, 0) → B'[(-3+2), 0]
→ B'(-1, 0)
We can conclude with the statement, "Figure ABCD was rotated by 180° about the origin followed by the translation of 2 units to the right" to get the new figure A'B'C'D' similar to pre-image ABCD.
:((( please answer! Thanks.
Answer:
66
Step-by-step explanation:
71+43=114
180-114=66
Answer:
66
Step-by-step explanation:
told u aint doing my work help
Answer:
A: 50:100
Step-by-step explanation:
The ratio 5:10 is the ratio of caramels to fruit creams. This ratio is equivalent to 50:100.