Answer:
The equation x + y = z relates the whole numbers.
Hopefully, this helps! :D
Ask your question below!
You are given $893 in one, five, and ten dollar bills. There are 165 bills. There are twice as many five dollar bills as there are ones and tens combined. How many bills of each type are there?
Given:
You are given $893 in one, five, and ten dollar bills.
There are 165 bills.
There are twice as many five dollar bills as there are ones and tens combined.
To find:
How many bills of each type are there?
Solution:
Consider the number of bills of one dollars, five dollars and ten dollars are x, y and z respectively.
According to the question,
Number of bills : [tex]x+y+z=165[/tex] ...(1)
Total amount : [tex]1x+5y+10z=893[/tex] ...(2)
Condition : [tex]y=2(x+z)[/tex] ...(3)
Equation (3) can be written as
[tex]\dfrac{y}{2}=x+z[/tex] ...(4)
Substituting [tex]x+z=\dfrac{y}{2}[/tex] in (1), we get
[tex]\dfrac{y}{2}+y=165[/tex]
[tex]\dfrac{3y}{2}=165[/tex]
[tex]3y=330[/tex]
[tex]y=110[/tex]
Substituting y=110 in (4), we get
[tex]x+z=\dfrac{165}{2}[/tex]
[tex]x+z=55[/tex]
[tex]x=55-z[/tex] ...(5)
Substituting y=110 and x=55-z in (2), we get
[tex](55-z)+5(110)+10z=893[/tex]
[tex]55-z+550+10z=893[/tex]
[tex]9z+605=893[/tex]
[tex]9z=893-605[/tex]
[tex]9z=288[/tex]
Dividing both sides by 9, we get
[tex]z=32[/tex]
Substituting z=32 in (5), we get
[tex]x=55-32[/tex]
[tex]x=23[/tex]
Therefore,
One dollar bills = 23
Five dollars bills= 110
Ten dollars bills = 32
Help ill give brainliest
Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below.
4(x – 1) – x = 3(x + 5) – 11
4x – 4 – x = 3x + 15 – 11
3x – 4 = 3x + 4
How can her partial solution be interpreted?
A. The equation has one solution: x = 0.
B. The equation has one solution: x = 8.
C. The equation has no solution.
D. The equation has infinite solutions.
Answer:
C. no solution
Step-by-step explanation:
3x – 4 = 3x + 4
3x-3x=4+4
0=8
which is not possible.
So, it has no solutions.
Sharee and her two sisters ate 3 5 of a pizza. How much of the pizza did each girl have? A) 1 3 B) 1 5 C) 2 15 D) 3 10
Sharee and her two sisters ate 3 /5 of a pizza. How much of the pizza did each girl have? A) 1 /3 B) 1/ 5 C) 2 /15 D) 3 /10
Answer:
B) 1/ 5
Step-by-step explanation:
Number of persons = Sharee and her two sisters = 3 persons
Quantity of pizza eaten = 3/5
Each person ate:
3 persons = 3/5 pizza
1 person = x pizza
Cross Multiply
3 × x = 3/5 × 1
x = 3/5 × 1/3
x = 3/5 ÷ 3
x = 3/5 × 1/3
x = 1/5
Hence, each person ate 1/5 pizza.
someone please help me from 6 to 9 please
Answer:
For 6.) y=-2x+1; 9.) y=-7/3x-5
Step-by-step explanation:
Slope intercept form is y=mx+b. m would be the slope (-2 and -7/3) and y is the y-int (1 and -5).
Whatbis the slope of a line that is perpendicular to the line y= 2x-6? A. -2
B. 2 C. 1/6 D. -1/2
Answer:
D. -1/2
Step-by-step explanation:
When a line is perpendicular to another line the slope will be the exact opposite. For example line A = y = 3x + 5 the line perpendicular to it will be -1/3x.
So -1/2 is the slope of your perpendicular line.
To determine whether price has an impact on sales of specialty coffees, the managers kept track of how many pounds of each variety of coffee were sold last month.
PRICE PER POUND POUNDS SOLD
Mean $8.75 4.50 lb
Standard Deviation $3.63 18.33 lb
Correlation r -.927
a. The response variable is__________ and the explanatory variable is_________
b. Based on the statistics shown above, the slope of the estimated regression line that relates the response variable to the predictor variable is:______
i. 0.846.
ii. -4.681
ii. -0.858.
iv. 45.459
v. -8.999.
Answer:
A. Response Variable is POUND SOLD Explanatory variable is PRICE PER POUND
B. ii. -4.681
Step-by-step explanation:
A. Based on the statistics that was shown in the given information above the:
Response Variable is POUND SOLD Explanatory variable is PRICE PER POUND
B. Calculation to determine slope of the estimated regression line that relates the response variable to the predictor variable
Using this formula
Slope =r*Sy/Sx
Let plug in the formula
Slope=-0.927*18.33/3.63
Slope=-16.99191/3.63
Slope=-4.681
Therefore , the slope of the estimated regression line that relates the response variable to the predictor variable is: -4.681
PLEASE HELP!!! Chloe is working two summer jobs, landscaping and clearing tables. She must work no less than 12 hours altogether between both jobs in a given week. Write an inequality that would represent the possible values for the number of hours landscaping, l and the number of hours clearing tables, c, that Chloe can work in a given week.
Answer:
got u homie
Step-by-step explanation:
Answer:
l +c _> 12
Step-by-step explanation:
Sharon went bowling with her friends. She paid $3 to rent
her shoes and then $3.75 for each game (x) of bowling. She
spent a total of $18. How many games did she bowl?
WRITE YOUR EQUATION:
SOLVE:
SOLUTION:
Answer:
3 + 3.75x=18
subtract 3 from both sides
3.75x=15
divide by 3.75 on both sides
x=4
Step-by-step explanation:
simplify these numbers
1. 125 5. 384
2. 458 6. 15710
3. 438 7. 2549
4. 10512 8. 8920
2+2=4 because 2 fingers and then another 2 fingers
Answer:
yes
Step-by-step explanation:
Answer:
yes? That's right. ummmm lol
I need help with this one
Answer:
The first three
Step-by-step explanation:
i will KISS U ON THE MOUTH IF U HURRY PLS HELP find the derivative dy/dx for y=(x^2+4x) / (x^3-5)
Use the quotient rule:
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(x^3-5)\frac{\mathrm d(x^2+4x)}{\mathrm dx}-(x^2+4x)\frac{\mathrm d(x^3-5)}{\mathrm dx}}{(x^3-5)^2}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(2x+4)(x^3-5)-3x^2(x^2-4x)}{(x^3-5)^2}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{x^4 - 16 x^3 + 10 x + 20}{(x^3-5)^2}[/tex]
What is a factor of 12
Answer:
2 x 3 (prime number, 2 distinct)
Step-by-step explanation:
A marathon runner travels 9/2 miles in 1/2 hour what is the unit rate
Answer:
9/2:1/2
Step-by-step explanation:Here's the answer
What is |-24| + |13| =?
Answer:
37
Step-by-step explanation:
just add the two numbers like they are not negative.
A square is removed from the right hand corner
Answer:
C im pretty sure
Step-by-step explanation:
Because the square taken out has a 4x4 area which is 16 and the area of the whole square used to be 14x14 which is 196 and if u subtract 16 from that you get 180
I need help with question 11 pleaseeeeeee
Answer:
828 cubic units
Step-by-step explanation:
At Nancy's Newsstand, 3 magazines cost $18.00. How many magazines could you buy with $72.00?
Answer:
12
Step-by-step explanation:
if 3 magazines = $18
$72/$18 = 4 sets of 3
4 x 3 = 12 magazines
The living room of Ann's house is a square with an area of 121 square feet. What is the length of each side of the foyer
Answer:
30.25
Step-by-step explanation:
121 divided by 4 is 30.25
A school has 726 students. There are 340 boys. About what percent of the students are girls?
Answer: 348 girls so somewhere around 80 percent
Step-by-step explanation:
Which statements about opposites are true? (Select all that are correct)
The scatterplot and trend line show a positive correlation between advertising costs and sales.
Which two points can be used to find the slope of the trend line?
Point 1: ?
Point 2: ?
Answer:
Point 1: (6.4, 117)
Point 2: (6.6, 120)
Step-by-step explanation:
Answer:
Point 1: (6.4, 117)
Point 2: (6.6, 120)
Step-by-step explanation:
Need help i will mark you brainliest
4x+2 = 2(2x+1) what is the answer?
Answer: 0=0
Step-by-step explanation: Simplify
Help me with this question pleasee
Answer:
√23 = a
Step-by-step explanation:
/ab/²= /ac/²+/bc/² (Pythagoras theorem)
12² = a² +11²
144 = a² + 121
144 - 121 = a²
23 = a²
√23 = a
w(t) = 3t – 1; t = 5
Read 3 integer numbers from the user; these numbers represent the lengths of 3 straight lines. From the 3 lengths, determine whether a triangle can be formed with the corresponding lines. If it is possible to form a triangle, determine whether the triangle is a right triangle or not. The rules to be used are: 1. To form a triangle where all lines’ ends meet (form vertices), the sum of the lengths of two sides must be greater than the length of the third side. This short video illustrates this concept: How to determine if the three sides make up a triangle. 2. Per the Pythagorean theorem: in a straight triangle, the square of the length of the longest side (the hypotenuse) is equal to the sum of the squares of the lengths of the other two sides. 3. The user can enter the lengths of each line in any order, i.e.: you may not assume that the first length is the longest or the smallest or the middle value.
Answer:
Written in Python
print("Enter three sides of a triangle: ")
length = []
for i in range(0,3):
inp = int(input(""))
length.append(inp)
length.sort()
if length[1]+length[2] > length[0] and length[0] + length[2] > length[1] and length[0] + length[1] > length[2]:
print("Triangle")
if length[2]**2 == length[0]**2 + length[1] **2:
print("Right Angled")
else:
print("Not Right Angled")
else:
print("Not Triangle")
Step-by-step explanation:
This line prompts user for sides of triangle
print("Enter three sides of a triangle: ")
This line declares an empty list
length = []
The following iteration gets user input
for i in range(0,3):
inp = int(input(""))
length.append(inp)
This line sorts user input
length.sort()
The following if condition checks if user input is triangle
if length[1]+length[2] > length[0] and length[0] + length[2] > length[1] and length[0] + length[1] > length[2]:
The following is executed is the if condition is true
print("Triangle")
The following if condition checks if user input forms a right angled triangle
if length[2]**2 == length[0]**2 + length[1] **2:
print("Right Angled")
else:
print("Not Right Angled")
This is executed if user input is not a triangle
else:
print("Not Triangle")
Which statement describes how to geometrically divide a complex number, z, by a second complex number, w?
O Scale z by the modulus of w, then rotate clockwise by the argument of w.
O Scale z by the modulus of w, then rotate counterclockwise by the argument of w.
O Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.
O Scale z by the reciprocal of the modulus of w, then rotate counterclockwise by the argument of w.
Answer: C
Step-by-step explanation:
I just took the quiz and I got it right
Statement describes how to geometrically divide a complex number z by a second complex number w is Option (C) Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.
What is Complex number?In mathematics, a complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit
What is Modulus of a complex number?Modulus of the complex number is the distance of the point on the argand plane representing the complex number z from the origin
Given,
Complex number z divides by a second complex number w
To divide a complex number a complex number then multiply the conjugate with the numerator and the denominator of the complex fraction
From the given statements Scale of z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w
Hence, Statement describes how to geometrically divide a complex number z by a second complex number w is Option (C) Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.
Learn more about Complex number and Modulus of a complex number here
https://brainly.com/question/19554199
#SPJ2
Please help me with this!
I will give you a thanks!
Hey, I just need to know if I was correct with my test.
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Statistics,
If we see here, The Andrew is working for 20 hours and his pay for 20hours is, $175
so for 1 hour, he gets = 175÷20 => $8.75 per hour
, so now after 1 year, his pay increases by $1.05 per hour, then we have to add this new amount of pay in his old amount, so that we can show that his pay is actually INCREASED, so the new pay is given as,
$8.75 + $1.05 (per hour)= $9.80
so now his total pay is given as,
E= 9.80h
Option D.) is correct