Step-by-step explanation:
jam : sugar : cheese = 4 : 1 : 16
that means she uses 4 times more jam than sugar, and 16 times more cheese than sugar (and therefore 4 times more cheese than jam).
so, now we know, she uses 32 oz of cheese.
that is (as we just determined) 4 times more than jam.
therefore, she uses
32/4 = 8 oz of jam.
1 oz = 28.3 grams
so, 8 oz are
8 × 28.3 = 226.4 grams
A hiker starts at an elevation of 12 feet above sea level. She descends 43 feet into an
underground cave to explore. While exploring, she slips and slides 17 feet further down
into the cave. Write an expression that can be used to model this situation and evaluate
it to determine her location below sea level.
Answer:
if its asking for final depth it is 48 fert below sea level
Step-by-step explanation:
43 + 17= 60
12 - 60 = 48
đối với hai bài toán ước lượng cho u p
Chuong2: ƯỚC LƯỢNG THAM SỐ, môn thống kê ứng dụng
What is the range for this data set?
22, 7, 14, 13, 38, 12, 19,
17, 49, 13, 9, 18, 36
Answer:
from 7 to 49 or (7, 49)
Step-by-step explanation:
Range means the limit of the data set. Basically, the low part of the range is the lowest number in the set and the high part of range is the highest part.
Alex has 14 bulbs to make a string of holiday lights. How many distinct arrangements can he make if
he has 3 red bulbs, 4 green bulbs, 2 blue bulbs, and 5 yellow bulbs?
We have "9 sockets choose 3" for the 3 red lights. That's (9C3) ways.
After screwing in those 3 red bulbs, there remain only 6 open sockets.
We have "6 sockets choose 4" for the 4 yellow lights. That's (6C4) ways.
After screwing in those 4 red bulbs, there remain only 2 open sockets.
We have "2 sockets choose 2" for the blue lights. That's (2C2) = 1 way.
After screwing in those 2 bulbs, all the sockets have a bulb in them.
Answer (9C3)(6C4)(2C2) = 1260.
In Martin's class of 20 students, 4 students report that social studies is their favorite class and 75% of the students report that PE is their favorite class. Show your work to explain how to determine whether more students prefer social studies or PE. (5 points)
pls Help!
Answer:
More students like PE
Step-by-step explanation:
100÷20=5
1 student = 5%
4×5=20
20% students favourite is social studies
75%>20%
3(x-4)-(2x+8) simplify
Answer:
x-20
Step-by-step explanation:
check a math app if u want to see
60 is the product of Javier's age and 5
Translate this sentence into an equation
Answer:
J= Javiers age
5J=60
5J/5= 60/5
J= 12
Check:
5(12)= 60
60=6p
Step-by-step explanation:
see answer
hope this helps
you throw a football straight up into the air with a speed of 12.2m/s. How high those the ball go?
Answer:
7.6m
hope this helps :)
Find the coordinates of the vertex of the following parabola using graphing technology. Write your answer as an (x, y) point.
y= -x^2-10x-22
Answer:
vertex: (-5, 3)
Step-by-step explanation:
Besides providing the graph of the given quadratic equation, I will also demonstrate the algebraic method of solving for the vertex of a parabola.
Method 1: Algebraic SolutionGiven the quadratic equation, y = -x² - 10x - 22, where:
a = -1, b = -10, and c = -22.
Find the x-coordinate of the vertex:In order to find the vertex of the given equation, use the following formula to find the x-coordinate of the vertex: [tex]x = \frac{-b}{2a}[/tex].
[tex]x = \frac{-b}{2a}[/tex]
[tex]x = \frac{-(-10)}{2(-1)}[/tex]
[tex]x = \frac{10}{-2}[/tex]
x = -5
The x-coordinate of the vertex is: x = 5.
Find the y-coordinate of the vertex:Next, substitute the value of the x-coordinate into the given quadratic equation to find its corresponding y-coordinate:
y = -x² - 10x - 22
y = -(-5)² - 10(-5) - 22
y = -25 + 50 - 22
y = 3
Therefore, the vertex of the given parabola is: (-5, 3), where it is the maximum point.
One of the attachments is the screenshot of the graphed quadratic equation (using Desmos), where it shows the vertex as the maximum point.
Method 2: Graphing CalculatorIf you have a graphing calculator (such as the Texas Instruments graphing calculator):
Press Y=Then, simply enter the given quadratic equation, -x² - 10x - 22.Next, press 2ND ⇒ Quit. Press the GRAPH button. Press 2ND ⇒ TRACE Select option 4: maximumIt will ask for the "Left Bound?": move the cursor as close to the maximum point as possiblePress ENTER. Next, it will ask for the "RightBound?" Repeat the same process as in step #7. Press ENTER.It will ask for "Guess?" ⇒ press ENTER, and it will provide the same coordinates for the vertex, (-5, 3).Please let me know if you have any questions or concerns regarding this post.
How to solve 4/3x + 7 = 25
Answer:
the answer is 2/27 or 0.074
Bart learned that the first stage of a type of rocket had a burn time that was 28.5 seconds longer than the burn time during the second stage. The total burn time for both stages was 150.3 seconds. What was they burn time for the first stage?
Answer:
60.9
Step-by-step explanation:
im prob not crct
4(4 + 7x) + x 2 -6x +5
What is an equation of the line that passes through the point (4, −1) and has
slope −5?
Answer:
y + 1 = -5(x - 4)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify variables.
Point (4, -1) → x₁ = 4, y₁ = -1
Slope m = -5
Step 2: Find Equation
Substitute in variables [Point-Slope Form]: y - -1 = -5(x - 4)Simplify: y + 1 = -5(x - 4)2x-3y=5.5
What is the solution to the system of equations shown above
Answer:
⸻⸻⸻⸻⸻
Solving
2X + 3Y = 5.5
⸻⸻⸻⸻⸻
Simplifying
2X + 3Y = 5.5
⸻⸻⸻⸻⸻
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
⸻⸻⸻⸻⸻
Add -3y to each side of the equation.
2x + 3y + -3y = 5.5 + -3y
⸻⸻⸻⸻⸻
Combine terms: 3y + -3y = 0.
2x + 0 = 5.5 + -3y
2x = 5.5 + -3y
⸻⸻⸻⸻⸻
Divide each side by 2.
x = 2.75 + -1.5y
⸻⸻⸻⸻⸻
Simplifying.
x = 2.75 + -1.5y
⸻⸻⸻⸻⸻
Joe is a photographer . For every 15 rolls of film he shoots, 10 are black and white. If Joe uses 57 rolls of film, how many rolls are in black and white?
Answer:
38 black and white rolls.
Step-by-step explanation:
15 rolls = 10 black and white
57 rolls = 57 divided by 15 multiplied by 10
57 rolls = 3.8 x 10 Leaving 38 Therefore there will be a total of 38 black and white rolls.
what do I do next???
Answer: You have to get rid of the variables (the x's) so subtract 2x from 2x and 11x then go from there.
Step-by-step explanation:
Answer:
3 and 6
Step-by-step explanation:
11x - 53 = x^2 + 2x - 35
Subtract 11x - 53 on both sides,
0 = x^2 + 2x - 35 - ( 11x - 53 )
= x^2 + 2x - 35 - 11x + 53
= x^2 + 2x - 11x + 53 - 35
0 = x^2 - 9x + 18
x^2 - 9x + 18 = 0
Now this equation need to factorized.
x^2 - 9x + 18 = 0
x^2 - 3x - 6x + 18 = 0
x ( x - 3 ) - 6 ( x - 3 ) = 0
( x - 3 ) ( x - 6 ) = 0
x - 3 = 0
x = 3
x - 6 = 0
x = 6
The solutions to this system are 3 and 6.
Elias is making copies of a business meeting agenda. He needs one copy per person. If there are 3 representatives from each department attending, and there are 9 departments total, how many copies does he need to make?
Answer:
27 copies
Step-by-step explanation: since there are 3 representatives for each department and there are 9 then you multiply 9 and 3 to get your answer.
Find the average of the following numbers: 55.1, 67.9, 59.2, 64.1, 61.8, 62.7. Round
your answer to one decimal place *
Your answer
Answer:
61.8
Step-by-step explanation:
[tex] \frac{55.1 + 67.9 + 59.2 + 64.1 + 61.8 + 62.7}{6} [/tex]
A line is reflected. Which of these could be the result?
b bcause i knew it and i mean i have a 5.0 gpa
Graph the linear equation.
y= -2/3x - 4
Answer:
Step-by-step explanation:
First, let's substitute 0 for x, as we can see at x=0, y is going to be -4.
Now to get our second point let's make -2/3x = -4, or just 2/3=4.
We multiply be 3/2 on both sides and get x = 6. This means that at x = 6, y is going to be equal to 0. Now you can graph it out
Can somebody answer this for me?
Given: passes though (6,3) and m=(5/3).
Ok so we know that y = mx + b is the equation of a line and we have m and we can find b via substitution.
y = mx + b
3 = (5/3)(6) + b
3 - (5/3)(6) = b
b = -7
Great now we know b so we can construct the rest of the linear function.
y = f(x) = (5/3)(x) - 7
You can always check the answer by plugging 6 into the x variable.
f(6) = (5/3)(6) - 7 = 3
(6,3) checks out.
The walls and ceiling of a hotel room are to be painted. The ceiling is a 22-foot square, and the walls are 8 feet tall.
What is the surface area of the walls and ceiling to be painted? Ignore any doors or windows.
Answer:
Step-by-step explanation:
ceiling 22² = 484 ft²
walls 4(22)(8) = 704 ft²
Total 1188 ft²
I need help with b .
Answer:
Finding a common denominator is the same as finding a common multiple. You can multiply the denominators by each other, or list out the multiples of each denominator. Multiplying by others' unique factors gives the least common denominator.
A rectangular field is ten times as long as it is wide. If the perimeter of the field is 1100 feet, what are the dimensions of the field?
Answer:
Length = 500, Width = 50
Step-by-step explanation:
EQUATION:
2(10x) + 2x = 1100
20x + 2x = 1100
22x = 1100
x=50
helppppppppppppppppppppppppppppppppppp
Answer:
so the answer is bar graph..
Find the y intercept of the line -5x-2y=-14
Answer:
the y intercept is7
Step-by-step explanation:
at y-axis x=0, y=7
59 oz = ____ lb ______oz
Explain yourselves
Answer:
3 lb 11 oz
Step-by-step explanation:
Divide 59 by 16
Answer:
3 pound and 11oz
Step-by-step explanation:
hop3 this helps
the arithmetic mean between a and 10 is 30. find the value of a ?
Answer:
20
Step-by-step explanation:
Arithmetic mean = sum of value÷Number of value
=10+30=40÷2=20
Heeeeelllllllppppppp
1.
[tex]y=\frac{5}{3} x-2[/tex]
2.
[tex]y=-2x+2[/tex]
3.
[tex]y=x+5[/tex]
4.
[tex]y=\frac{1}{4}x[/tex]
Use a table to find the solution to the situation.
Stan needs a mime. Mime A is offering his services for an initial $150 in addition to $25 per hour. Mime B
is offering her services for an initial $45 in addition to $40 per hour. When will the two mimes charge the
same amount of money?
The two mimes will charge the same amount of money after
hours.
Answer:
The answer is 3 hours
Step-by-step explanation: