Answer:
Quarters = 10
Dimes = 15
Step-by-step explanation:
d = number of dimes, q = number of quarters
d + q = 25 is the equation for number of coins
0.1d + 0.25q = 4 is the equation for value of coins
First, solve for d in terms of q:
d + q = 25
d = 25 - q
Then substitute that into the other equation:
0.1(25 - q) + 0.25q = 4
2.5 - 0.1q + 0.25q = 4
0.15q = 1.5
q = 10
And back to d = 25 - q, d = 25 - 10 = 15
Check the math:
0.1(15) + 10(0.25) = 1.5 + 2.5 = 4
LMK if you have questions
Gavin needs to buy candy for the 11 students in his class plus himself. Gavin and each student will get one bag of candy. He uses $20 to buy two different types of candy. Gavin buys x bags of gummy bears that cost $1.50 per bag and y bags of chocolates that cost $2.00 per bag. The system of equations used to represent this situation is graphed, as shown.
Answer:
20=1.50(6)+2.00(4)
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
X-7>29 inequalities someone please help
Answer:
x>36
Step-by-step explanation:
Hope this helps and good luck
Solve the proportion 3/x+1 = 1+2
Answer:
x = 5
Common denominator of 3/x+1 to 1/2
If the numerator is 3 times, then so is the denominator in a proportion.
3/1=x+1/2
x+1 must equal 6 for the proportion to be equal to 1/2.
6-1=5, so x is 5.
Activity 1
Fill in the missing number:
1. 34 533; 35 533 ; 36 533; 37 533; 38 533
2. 6475; 6 490;
3 6 520; 6 235; 6 250.
3. 55 455; 55 470;
Answer:
3 6 520; 6 235; 6 250.
Which matches the inequality?
x > 3
(adding extra characters so its over 20)
A rectangular prism has dimensions of 4 cm by 3 cm by 2 cm.
Area_{rectangle}=b. h
PART A
What is the surface area?
Answer:
48
Step-by-step explanation: surface area = 2 (lw + hl + hw)
2 ( 2 x2 + 5x2 + 5x2)
2 (4+10+10)
2(24)
48 cm
Step-by-step explanation:
Answer:
WHAT THE OTHER PERSON SAID
Step-by-step explanation:
Solve |3x – 2| = |x + 1| Question 12 options: A) x = 3∕2 or x = 1∕4 B) No solutions C) x = 3 or x = –4 D) x = 1∕4
Answer:
x = 3/2
Step-by-step explanation:
Step (1) :
We should put like term togther:
3x - x = 2 +1
2x = 3
Step (2) :
Divide bothe side by 2:
2x/2 = 3/2
x = 3/2
A bag contains 6 red marbles, 4 black marbles, and blue 5 blue marbles. A marble is picked without looking into the bag. Determin the probobility of picking out a blue marble
Answer:
5/15
(1/3 if u want it simplified)
(about 33.3 % if you want percentage)
Step-by-step explanation:
6 + 4 + 5 = 15 total marbles
There are 5 blue marbles.
Which of the following explains the role of Pi (1) in finding the circumference of a circle?
А
Pi is the ratio of the radius of a circle to the diameter of a circle.
B
Pi is the ratio of the radius of a circle to the circumference of a circle.
С
Pi is the ratio of the diameter of a circle to the circumference of a circle.
D
Pi is the ratio of the circumference of a circle to the area of a circle.
Answer:
The answer is C, The use of Pi can be used to find the ratio of the diameter and circumference of a circle
Step-by-step explanation:
an angle measures 66° less than the measure of its complementary angle. what is the measure of each angle
Answer:
12 and 78
Step-by-step explanation:
The sum of complementary angles is 90 degrees
X+(x-66) = 90
2x = 156 x = 78
78-66 = 12
Rackham Graduate School has 8,000 students (5,000 PhD students and 3,000 masters stu- dents). The Rackham Student Government Executive Board has 4 student members: a President, a VP of Operations, a VP of Finance, and a VP of Administration. Reminder: no need to simplify your answers in this homework (unless problem explicitly says to).
a) How many ways are there to choose the Exec Board from all Rackham students?
b) How many ways are there to choose the Exec Board so that there is at least one masters student and one PhD student? (for any of the 4 positions)
c) How many ways are there to choose the Exec Board if the VP positions have to be PhD students (the president can be either a PhD or Masters student)?
d) How many ways are there to choose the Exec Board so that there is at least one masters student VP?
Answer:
a) 8,000!/(8000 - 4)! ways
b) 15,000,000 + 7998!/(7998 - 2)! ways
c) 5,000 + 7,999!/(7,999- 3)! ways
d) 3,000 + 7,999!/(7,999- 3)! ways
Step-by-step explanation:
The number of students at Rackham Graduate School = 8,000 students
The number of PhD students = 5,000
The number of masters students = 3,000
The number of student members of the Rackham Student Government Executive Board = 4 students
a) The number of ways there are to choose the Exec Board from all Rackham students = The number of ways to choose 4 students from 8,000 = 8,000!/(8000 - 4)!
b) The number of ways of having one Master student in the board = 3,000 ways
The number of ways of having one PhD student in the board after selecting a masters student = 5,000 ways
The number of ways of selecting the remaining 2 members =
7998!/(7998 - 2)!
The total number of ways of selecting at least one masters and one PhD in the board is therefore equal to 5,000 × 3,000 + 7998!/(7998 - 2)! ways
c) The number of ways of choosing the VP position as PhD = 5,000 ways
The number of ways of choosing the other three members = 7,999!/(8000 - 3)!
Therefore, the total number of ways = 5,000 + 7,999!/(7,999- 3)! ways
d) The number of ways of choosing a masters student as the VP position = 3,000 ways
The number of ways of choosing the other three members = 7,999!/(8000 - 3)!
Therefore, the total number of ways = 3,000 + 7,999!/(7,999- 3)! ways
What is the distance between point (5, 9) and its reflection across the x-axis?
Answer:
10 units
Step-by-step explanation:
Solve for x Enter the solutions from least to greatest . (x - 4)(- 5x + 1) = 0 lesser x = greater x =
Answer: lesser x = 1/5 greater x = 4
Step-by-step explanation:
The length of a cell phone is 1.41.4 inches and the width is 4.44.4 inches. The company making the cell phone wants to make a new version whose length will be 1.751.75 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Answer:
Step-by-step explanation:
Answer:
5.573.75
Step-by-step explanation:
because math