Answer:
Katie can bake 48 muffins in 90 minutes.
Step-by-step explanation:
So, as you can see, it says she can bake 24 muffins in 45 mins. Some you make that a fraction:
24/45. The question asks how many muffins she can bake in 90 mins. So, next to the first fraction (proportion) write x/90.
Why x? Because you don't know how many muffins she made, so you'll use that to replace the number for now. X is the numerator because on the last proportion, you put the number of minutes as the denominator. X= how many muffins Katie baked.
So, you cross multiply. Multiply one numerator by the others denominator. Like this: 24×90 and 45×X. Write the answers under the denominator (Ex: 24 X
45 90
-----------
45x = 2160
Now, separate the variable (x) and the constant (45). To do something you must divide. Divide it by 45 to get x. Then, place your equal sign on the right side of that. Now, whatever you do to one side of the equal sign you must do to the other. So, divide 2160 by 45. If done coorectly, you should've gotten 48. X=48 muffins. Therefore, Katie baked 48 muffins.
Sorry about the length! I kinda got carried away lol
Also, for the explanation for how you know, my work above should explain that.
Well, I hope I was helpful!
the two lines y+7x=14 and y+5=-7x are
Answer:
Parallel
Step-by-step explanation:
The two lines y+7x=14 and y+5=-7x are parallel to each other
The two lines y + 7x=14 and y+5=-7x are parallel to each other.
How are parallel straight lines related?Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness,
thus, are on the same slope.
Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.
Given lines is y + 7x=14 and y+5=-7x.
The slope of the given line;
y + 7x=14
y = -7x + 14
Thus, the slope m = -7.
The slope of the given line;
y+5=-7x
y = -7x - 5
Thus, the slope m = -7.
We can see that the slope are the same.
Thus, The two lines y + 7x=14 and y+5=-7x are parallel to each other.
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Cindy has 42 meters of fencing. She
plans to fence in a rectangular dog run
that is 6 meters wide.
[Remember, the formula for the
perimeter of a rectangle (the distance
around) is p = 2L + 2w, where L-
length and w = width.]
Answer:
15
Step-by-step explanation:
What is the value of (f o g)(7)
F(x)=x^2; g(x)= x-4
Answer:
Step-by-step explanation:
(f o g)(7) = f(g(7))
but g(7) = 7-4 =3
(f o g)(7) = f(g(7)) = f(3) = 3² =9
"the quotient of y and
8 “
Answer:
The expression of that is y/8
Step-by-step explanation:
Quotient always refers to division, so we know we are dividing.
This is the expression:
y÷8
Mr. Smith has a super-sized bag of Gummy Bears. He goes to eat from the bag of Gummy bears which has 300 Gummy Bears in it. Mr. Smith eats 20 Gummy Bears every 3 minutes. Write an equation to model the number of Gummy Bears in his bag.
Answer:
[tex]\frac{20}{3} x=300[/tex]
Step-by-step explanation:
Given that the bag has 300 Gummy Bears and Mr.Smith eats 20 Gummy Bears every 3 minutes, then;
Lets assume x time taken to finish all Gummy Bears in the bag, then
Given in the question that
3 minutes =20 Gummy Bears
? minutes=300 gummy Bears
Perform cross-multiplication
[tex]=\frac{300*3}{20} =45minutes[/tex]
This means after 45 minutes the bag of Gummy Bears will be empty.
The equation to model the number of Gummy Bears in the bag will be;
[tex]\frac{20}{3} x=300[/tex]
Answer:
[tex]600-\frac{20}{3}\text{x}[/tex]
Step-by-step explanation:
Given: Mr. Smith has a super-sized bag of Gummy Bears. He goes to eat from the bag of Gummy bears which has 300 Gummy Bears in it. Mr. Smith eats 20 Gummy Bears every 3 minutes.
To Do: Write an equation to model the number of Gummy Bears in his bag.
Solution: Total Number of Gummy bears in Mr. Smith's super-sized bag =[tex]300[/tex]
Number of Gummy bears eaten by Mr. Smith in every 3 minutes = [tex]20[/tex]
Number of Gummy bears eaten by Mr. Smith in every in minutes= [tex]\frac{20}{3}[/tex]
Now,
The number of Gummy bears in his bag after [tex]\text{x}[/tex] minutes is
=[tex]600-\frac{20}{3}\text{x}[/tex]
The equation for number of gummy bears in Mr. Smith's bag after [tex]\text{x}[/tex] minutes is
[tex]600-\frac{20}{3}\text{x}[/tex]
6. [(69 - 9) + 23]4
how do u solve this
Answer:
332
Step-by-step explanation:
69-9=60
+23=83
x4=332
Help me I’m struggling
Get photomath it can help with problems like that :)
Answer:
3/4
Step-by-step explanation:
because if he has 3 lemons and 1 lime add 3 + 1= 4 and there is 3 lemons it will be 3/4
A parcel has a mass of 500g. Calculate its weight. (Assume the gravitational field strength is 10N/kg).
Answer:5n
Step-by-step explanation:
Final answer:
The weight of a 500g parcel, with a gravitational field strength of 10 N/kg, can be calculated using the formula w = mg, giving a weight of 5 N.
Explanation:
To calculate the weight of a parcel with a mass of 500g (0.5 kg), we will use the formula for weight, which is w = mg, where w is the weight in newtons (N), m is the mass in kilograms (kg), and g is the gravitational field strength in newtons per kilogram (N/kg). Given that the gravitational field strength is 10 N/kg, the weight of the parcel can be calculated as follows:
First, convert the mass from grams to kilograms: 500g is equal to 0.5 kg.Next, use the formula w = mg with m = 0.5 kg and g = 10 N/kg.Calculate the weight: w = 0.5 kg × 10 N/kg = 5 N.Therefore, the weight of the parcel is 5 N.
Alexis left her house at 7:45 p.m. to go shopping for clothes. She returned at 10:30 p.m.
a) express the time in hours that Alexis spent away for home.
Alexis spent 2 hours and 45 minutes away from home, which is equivalent to 2.75 hours.
Explanation:To calculate how long Alexis spent away from home, we need to find the difference between the time she left and the time she returned. She left her house at 7:45 p.m. and returned at 10:30 p.m.
First, we'll convert both times to a 24-hour format to make it easier to compute the time difference. The time Alexis left remains the same as 19:45 (since p.m. times are already in the second half of a 24-hour day), and the time she came back is 22:30.
Next, we subtract the time Alexis left from the time she returned:
22:30
-19:45
______
The difference in the minutes column is 30 - 45, which would be negative, so we need to borrow an hour from the hours column.
22:30
-19:45
______
Convert the borrowed hour into 60 minutes and add to the 30 minutes: 60 + 30 = 90 minutes.
21:90
-19:45
______
Now we can subtract the minutes:
90 - 45 = 45 minutes.
And subtract the hours:
21 - 19 = 2 hours.
Therefore, Alexis spent 2 hours and 45 minutes away from home.
To express this time purely in hours, we convert 45 minutes into hours by dividing by 60:
45 minutes ÷ 60 minutes per hour = 0.75 hours.
Adding this to the 2 hours, we find that Alexis was away from home for 2.75 hours.
Final answer:
Alexis was away from home for 2 hours and 45 minutes, which is equivalent to 2.75 hours. The calculation involves subtracting the time she left from the time she returned and converting minutes to hours for an accurate measure.
Explanation:
The student is asking how to calculate the time Alexis spent away from home while she went shopping for clothes. To solve this, we need to calculate the difference in time between when she left and when she returned.
Alexis left her house at 7:45 p.m. and returned at 10:30 p.m.. To find the number of hours she spent away from home, we can follow these steps:
Convert the times into a 24-hour format if necessary, but here it's not required as both times are in the p.m.
Subtract the start time from the end time.
In this case, 10:30 p.m. is the same as 22:30 in a 24-hour format, and 7:45 p.m. is the same as 19:45. So,
22:30 (End Time)
- 19:45 (Start Time)
----
We have a difference of 2 hours and 45 minutes. To express this time purely in hours, we convert 45 minutes to a decimal by dividing by 60 (since there are 60 minutes in an hour).
45 minutes / 60 = 0.75 hours
Therefore, Alexis was away for 2.75 hours.
simplify 4b^ 5 +10b^5
Answer:
14b^5
Step-by-step explanation:
4b^ 5 +10b^5 (factor out common factor b^5)
= (4+10) b^5
= 14b^5
How is this wrong? Algebra 1
six more than the product of a number and 7 is 4
Write each fraction or mixed number as a decimal 7/20
Answer:
[tex]\large\boxed{\dfrac{7}{20}=0.35}[/tex]
Step-by-step explanation:
[tex]\bold{METHOD\ 1}\\\\\dfrac{7}{20}=7:20=0.35\\\\\text{Use a calculator or long division}\\\\.\qquad\underline{0.35}\\.\ \ 20|7\\.\ \ \ \ \ \underline{\ 0}\\.\qquad70\\.\ \ \ \ \ \underline{\ 60}\\.\qquad100\\.\qquad\underline{100}\\.\qquad==[/tex]
[tex]\bold{METHOD\ 2}\\\\\dfrac{7}{20}=\dfrac{7\cdot5}{20\cdot5}=\dfrac{35}{100}=0.35[/tex]
find the least common denominator of the fractions 1/10 and 2/4
Answer:
LCD = 20
Step-by-step explanation:
1/10 = 2/20
2/4 = 10/20
The least common denominator (LCD) of fractions 1/10 and 2/4 (which simplifies to 1/2) is 10. We obtain this by finding the smallest multiple of the largest denominator, 10, that the other denominator (2) can divide.
Explanation:Looking to find the least common denominator of the fractions 1/10 and 2/4, we first need to simplify the fractions to their lowest terms. The fraction 2/4 can be simplified to 1/2. So now we are finding the least common denominator of 1/10 and 1/2.
Define the least common denominator (LCD): It's the smallest multiple that is exactly divisible by every denominator of the set of fractions.
Start from the largest denominator, which is 10 in this case, and list its multiples: 10, 20, 30, etc. Select the smallest multiple that the other denominator(s) (i.e. 2) can divide. You notice that 2 can divide 10, so the least common denominator of these fractions is 10.
So, the answer is that the least common denominator of the fractions 1/10 and 2/4 (or 1/10 and 1/2 in simplest form) is 10. This step-by-step explanation should provide you with an understanding of how to find the least common denominator of two fractions.
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Emme bought cashews that cost $3.42 per pound which of the following does this situation represent
1. A relation only
2. Both a relation and function
3. Neither a relation or function
4. A function only
Answer:
Step-by-step explanation:
2. Both a relation and function
Answer:
2.
Step-by-step explanation:
Per every pound the price is $3.42
So it does have a relation and function.
How do you graph h=6-0.6j
Step-by-step explanation:
Don't let the variables scare you. they are just an unknown value, that we can call anything we want. So, we can say y=6-0.6x. If you want an easier equation, just use communitive property to change it to
[tex] y = - \frac{3}{5} x + 6[/tex]
If 12% of a number is 24, what is the number?
Answer:
The number is 200.
Step-by-step explanation:
12% of a number = 24
Let the number be x.
[tex]\frac{12}{100}[/tex] of x = 24
0.12x = 24
x = [tex]\frac{24}{0.12}[/tex] = 200
So the number (x) is 200.
|-2| simplified
im a 7th grader in need of help!!!!!!
Ms. Handler walks to work at an average speed of 5 km per hour. if she increases her speed to 6 kilometers per hour she will save 10 minutes.
Find the distance she walks
Answer:
The distance she walks is 5 km
Step-by-step explanation:
Let
x -----> the distance in kilometers
y ----> the time in hours
we know that the speed is equal to divide the distance by the time
Average speed of 5 km/h
[tex]5=\frac{x}{y}[/tex]
[tex]y=\frac{x}{5}[/tex] -----> equation A
Average speed of 6 km/h
convert 10 minutes to hours
[tex]10\ min=10/60=1/6\ h[/tex]
[tex]6=\frac{x}{y-\frac{1}{6}}[/tex] ----> equation B
Solve the system by graphing
The solution is the intersection point both graphs
The solution is the point (5,1)
see the attached figure
therefore
The distance she walks is 5 km
Verify
Average speed of 5 km/h
[tex]y=\frac{5}{5}=1\ h=(1)*60=60\ min[/tex]
Average speed of 6 km/h
[tex]y=\frac{5}{6}\ h=\frac{5}{6}*60=50\ min[/tex]
The difference is the time she will save
[tex]60\ min-50\ min=10\ min[/tex] ----> is correct
To find the distance Ms. Handler walks, we can set up a proportion and solve for the variable d. The distance is found to be 5 kilometers.
Explanation:To solve this problem, we can set up a proportion between the distance Ms. Handler walks and the time it takes her at each speed.
Let's say the distance she walks is d kilometers. At a speed of 5 km/h, the time it takes her to walk the distance is d/5 hours. At a speed of 6 km/h, the time it takes her is d/6 hours.
We can then set up the following proportion:
d/5 = d/6 + 10/60
To simplify the equation, we can multiply both sides by 30 to get rid of the denominators:
6d = 5d + 5
Simplifying further, we get:
d = 5
Therefore, the distance Ms. Handler walks is 5 kilometers.
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Is the following relation a function {(3, -5), (1,2), (-1, -4), (-2, 2)
Answer: yes
Step-by-step explanation: In this problem, we are asked to determine if the relation shown here is a function. The easiest way to determine if a relation is a function is by looking at the x-coordinates. Notice that none of the coordinates repeat so this relation is a function.
A plastic toy submarine is held 15 centimeters below the water surface in a bath tub. The submarine is let go and rises 15 centimeters. What integer represents the toy submarine’s position with respect to the surface of the water?
HURRY AND ANSWER IT PLS!!!
Answer: He is 0 cm with respect to the surface of the water.
Step-by-step explanation:
Since we have given that
Length of plastic toy submarine below the water surface = 15 cm
Length of plastic toy submarine above the water surface = 15 cm
For below the surface, we would use negative sign i.e. (-) 15 cm
for above the surface, we would use positive sign i.e. (+) 15 cm
So, now he is
[tex]-15+15=0\ cm[/tex]
Hence, he is 0 cm with respect to the surface of the water.
If a plastic toy submarine is held 15 centimeters below the water surface in a bath tub. The integer that represents the toy submarine's position with respect to the surface of the water is 0.
What is the integer?The toy submarine rose 15 centimetres after initially being 15 centimetres below the water's surface. So, the whole shift in position is upward, or 15 centimetres.
The submarine's net position change is 0 centimetres because it began 15 centimetres below the surface and then rose 15 centimetres (returning to the surface level).
Therefore the integer that represents the toy submarine's position with respect to the surface of the water is 0.
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The front of an A-frame house is in the shape of a triangle. The height of the house is 20 feet. The area of the front of the A-frame is 600 squared feet. Write and solve an equation to find the base of the A-frame house.
Area of a triangle is 1/2 x base x height.
You are given the area and the height, solve for the base:
600 = 1/2 x base x 20
Multiply both sides by 2:
1200 = base x 20
Divide both sides by 20:
Base = 1200/20
Base = 60 feet.
Answer: 60
A= 1/2BH
600=1/2b*20
20 / 2= 10
600/10=60
A hiking club charges $60 to join and $12 for each hiking trip. Write an expression to model the total
cost. Find the cost of six hikes.
Answer:
4,320 dollars. Expression is 60 × 12(6)
Answer:The trip will cost 132$
can i get brainlyest
Step-by-step explanation:60(to join) + 12(per hike)x6(hikes)
12 x 6 = 72 + 60 =132
Apply the power rule to compute the derivative
Answer:
[tex]\displaystyle \frac{d}{dt}[t^{\sqrt{11}}] = \sqrt{11}t^{\sqrt{11} - 1}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationBasic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = t^{\sqrt{11}}[/tex]
Step 2: Differentiate
Basic Power Rule: [tex]\displaystyle y' = \sqrt{11}t^{\sqrt{11} - 1}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
-9 less than or equal to -8y
Answer:
y≤9/8
Step-by-step explanation:
-9≤-8y
1) Divide both sides by -8 (You must flip the sign when dividing by a negative)
y≤9/8
Zareen has 24 minutes to work on her math homework, and each problem is taking her 2/3 of a minute, on average, to complete. Which expression can be used to determine the number of math problems she will be able to complete in the time she has?
Answer is 24 divided by 2/3
Answer:
24 ÷ 2/3
Step-by-step explanation:
What is the solution to this system of equations?
Answer:
First choice.
Step-by-step explanation:
You could plug in the choices to see which would make all the 3 equations true.
Let's start with (x=2,y=-6,z=1):
2x+y-z=-3
2(2)+-6-1=-3
4-6-1=-3
-2-1=-3
-3=-3 is true so the first choice satisfies the first equation.
5x-2y+2z=24
5(2)-2(-6)+2(1)=24
10+12+2=24
24=24 is true so the first choice satisfies the second equation.
3x-z=5
3(2)-1=5
6-1=5
5=5 is true so the first choice satisfies the third equation.
We don't have to go any further since we found the solution.
---------Another way.
Multiply the first equation by 2 and add equation 1 and equation 2 together.
2(2x+y-z=-3)
4x+2y-2z=-6 is the first equation multiplied by 2.
5x-2y+2z=24
----------------------Add the equations together:
9x+0+0=18
9x=18
Divide both sides by 9:
x=18/9
x=2
Using the third equation along with x=2 we can find z.
3x-z=5 with x=2:
3(2)-z=5
6-z=5
Add z on both sides:
6=5+z
Subtract 5 on both sides:
1=z
Now using the first equation along with 2x+y-z=-3 with x=2 and z=1:
2(2)+y-1=-3
4+y-1=-3
3+y=-3
Subtract 3 on both sides:
y=-6
So the solution is (x=2,y=-6,z=1).
How do I plot this equation on the graph ?
Answer:
y = ¼x + 2
Step-by-step explanation:
x - 4y = -8
-x - x
__________
-4y = -x - 8
___ _____
-4 -4
y = ¼x + 2
I am joyous to assist you anytime.
For every cup of flour 5 batches of cookies can be made. Create a table showing the cups of flour needed for up to 5 batches of cookies then plot the values on the coordinate plant
Answer:
0,0
1,5
2,10
3,15
4,20
5,25
Step-by-step explanation:
x=cups of flour
y=batches of cookies
9. Solve for x,
9x - 25
5x + 7
N
Answer:
x = 8
Step-by-step explanation:
Simplifying
9x + -25 = 5x + 7
Reorder the terms:
-25 + 9x = 5x + 7
Reorder the terms:
-25 + 9x = 7 + 5x
Solving
-25 + 9x = 7 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
-25 + 9x + -5x = 7 + 5x + -5x
Combine like terms: 9x + -5x = 4x
-25 + 4x = 7 + 5x + -5x
Combine like terms: 5x + -5x = 0
-25 + 4x = 7 + 0
-25 + 4x = 7
Add '25' to each side of the equation.
-25 + 25 + 4x = 7 + 25
Combine like terms: -25 + 25 = 0
0 + 4x = 7 + 25
4x = 7 + 25
Combine like terms: 7 + 25 = 32
4x = 32
Divide each side by '4'.
x = 8
Simplifying
x = 8