Answer:
0.4 kg
Step-by-step explanation:
A proportion can be used to find the amount of sugar.
x/(1.1 L) = (0.1 kg)/(0.275 L)
x = (1.1)(0.1)/0.275 kg = 0.4 kg
Angela needs 0.4 kg of sugar for her biscuits.
You are going on a camping trip with your family for 3 days. You decided that you need 5 batteries for your flashlights. At the very last minute you decide to extend the trip to 9 days.
a. Set up a proportion to solve for the amount of batteries you will need for the extended trip.
b. Solve the proportion for part a
Answer:
15 batteries
Step-by-step explanation:
a. We have
5 batteries = 3 days
5 batteries/3 days = 1
5 batteries/3 days
we need to convert this to 9 days, so
x amount of batteries = 9 days
x batteries / 9 days = 1
5 batteries / 3 days = x batteries / 9 days
b.
5 batteries / 3 days = x batteries / 9 days
multiply both sides by 9 days to get rid of the denominators as well as the days variable
5 batteries * 9 days / 3 days = x batteries
5 batteries * 3 = x batteries
15 batteries = x batteries
x = 15
The proportion for the given situation is 3 : 5 :: 9 : x and 15 batteries required for 9 days trip.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let x be number of batteries required for 9 days trip.
a) So, the proportion is
3 : 5 :: 9 : x
b) Solve for x, that is
3x=45
⇒ x=15
Therefore, the number of batteries required for 9 days trip is 15.
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whats the answer for the question below
Answer:
I know that
Step-by-step explanation:
the point is (0,2) and the slope is 1/2
Distance between each pair of points (-6,-4.7) and (-6,4.1)
Answer:
8.8
Step-by-step explanation:
as X1=X2
we use | Y2-Y1 |
=| 4.1 -(-4.7) |
=| 8.8 |
=8.8
A rectangular hotel room is 4 meters by 7 meters. The owner of the hotel wants to recarpet the room with carpet that costs $71.00 per square meter. How much will it cost to recarpet the room?
Answer:
is it $120?
Step-by-step explanation:
Answer:
1,988$
Step-by-step explanation:
4x7=28x71
Find the inverse function. f(x) = Vx - 1+4
Answer:
f^-1(v)=v/x-3/x
Step-by-step explanation:
The inverse of the function f(x) = [tex]\sqrt[3]{x-1} + 4[/tex] Is f⁻¹(x) = (x - 4)³ + 1.
What is a function?Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.
Given:
f(x) = [tex]\sqrt[3]{x-1} + 4[/tex]
y = [tex]\sqrt[3]{x-1} + 4[/tex]
Calculate the inverse of the function as shown below,
Replace x with y,
x = [tex]\sqrt[3]{y-1} + 4[/tex]
x - 4 = [tex]\sqrt[3]{y- 1}[/tex]
Cube both sides,
(x - 4)³ = y - 1
y = (x - 4)³ + 1
Thus, f⁻¹(x) = (x - 4)³ + 1
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2/3 of 12 3/8
this is easy but im dum.b
Answer: 17/2
Step-by-step explanation: 2/3 of 12 3/8 = 8.25
8.25 as a fraction= 17/2.
Answer:
17 divided by two
Step-by-step explanation:
In a car survey of 3,400 people who owned a certain type of car. 1,020 said they would buy that type of car again. What percent of people surveyed were satisfied with the car?
_______% of the people surveyed were satisfied with the car. (Type a whole number
Answer:
30%
Step-by-step explanation:
[tex]\frac{1020}{3400} =\frac{30}{100}[/tex]
Answer:
30%
Step-by-step explanation:
given
Total:3400
satisfied people:1020
we know that,
percent of satisfied:3400/1020x100%
=30%
Can you please help me?
Step-by-step explanation:
60 cookies with 4 cups
that means 60 per 4 = 60/4 = 15
and that means that he can make 15 cookies with 1 cup.
that is clear : from 60/4 we immediately know 15/1.
and now, as we know how many cookies can be made with 1 cup, it is easy to say how many cookies can be made with 3 cups. right, 3 times a much.
so, yes, we multiply 15 by 3 and get 45 cookies as answer.
PLEASE HELP TEST DUE SOON⚠️ which graph should be used to show the situation described? The temperature increases by4° every hour
Step-by-step explanation:
the bottom left is the right option.
just by saying "the temperature increases ..." the 2 options on the right are wrong. the line has to go up, not down.
the first graph (top left) increases too strongly, way more than just 4ft per hour.
(Look at the picture ) Consider the graph of the function f below.
N0.6
(4.6
6
(3.4)
21 8(2.2)
-6
-8
-4
-2
0
2
4
6
8
What is the value of f (4)?
1
A
B
3
С
6
D
14
Answer:
yes u picked C thats the correct answer
Step-by-step explanation:
Cameron ran 5 miles less than Kyle last week. Cameron ran 9 miles. Which equation will tell you how many miles Kyle ran?
A)
+ 5-9
B)
X-5 - 9
o
X+ 5-49
D)
X-5=-9
D. it is d because I said so >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:(
The graph below shows the
relationship between the distance a
car is driven and the number of
gallons of gas used. What is the slope
and what does it represent?
Answer:
The slope is 30 and it represents the distance the car can travel per gallon of gas used
Step-by-step explanation:
We just need to look at the x=1 and find the y in order to find the slope and here we see that when x=1, then the y=30 so, therefore, the slope is 30
It represents the number of miles the car can drive per gallons of gas used as we can see that we are comparing the gas used with the distance traveled, so therefore it is comparing the distance the car can travel based on the gas used.
Is this correct check please
Answer:
its most likely CORRECT!
just have confidence that your answers are correct :)
Answer:
yes
Step-by-step explanation:
32 feet
8 feet
What will the new dimensions of the rectangle
be after a dilation with a scale factor of
7/8
Answer:
i do not know
Step-by-step explanation:
Find sum of arithmetic series where a1 = 7, n=31, nth a =127
Answer:
Sum of arithmetic series is [tex]2077[/tex]
Step-by-step explanation:
We have [tex]n[/tex]th term of arithmetic sequence
[tex]a+(n-1)d[/tex]
Here
[tex]a+(n-1)d=127\\\\7+(31-1)d=127\\\\d=\frac{120}{30} \\\\=4[/tex]
Sum of arithmetic sequence [tex]=\frac{n}{2} (2a+(n-1)d)[/tex]
[tex]=\frac{31}{2} (2\times7+(31-1)4)\\\\=\frac{31}{2} (14+120)\\\\=31\times67\\\\=2077[/tex]
Answer:
The sum of arithmetic series is 2077.
Step-by-step explanation:
Solution :
Here we have provided that :
»» [tex]\rm{a_1}[/tex] = 1»» [tex]\rm{n}[/tex] = 31»» [tex]\rm{a_n}[/tex] = 127We need to find :
»» The sum of arithmetic series.Here's the required formula to find the sum of arithmetic series :
[tex]\longrightarrow{\pmb{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}[/tex]
Substituting all the given values in the formula to find the sum of arithmetic series :
[tex]{\longrightarrow{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \Big(7 + 127 \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \Big(134 \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \times 134 }}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{\cancel{2}} \times \cancel{134 }}}[/tex]
[tex]{\longrightarrow{\sf S = 31 \times 67}}[/tex]
[tex]{\longrightarrow{\sf S = 2077}}[/tex]
[tex]\star \: {\underline{\boxed{\sf{\red{S = 2077}}}}}[/tex]
Hence, the sum of arithmetic series is 2077.
[tex]\rule{300}{1.5}[/tex]
7+32−42÷2 what is it i need help pleaseee
Answer:
[tex]7+32-42\div 2 = 39 - 21 = 18[/tex]
Step-by-step explanation:
PLS HELP ME ON THIS MATH PROBLEM ASAP
Answer:B
Step-by-step explanation:
This is because -3 is going to multiple numbers, which cannot happen in a function.
Write the following expression as a sum and/or difference of logarithms. Express powers as factors.
log_b (u^9v^4) u>0, v> 0
Answer:
9log_b(u)+4log_b(v)
should be like that. let me know if iam wrong
Evan is going to the 50th state fair this weekend, it cost $10 to enter and each ride is $2. Create a linear function that could be used to determine how many "x" rides Evan can go in. What does the variable "y" represent?
Answer:
y represents the total amount he spent in x amount of rides+ the $10 fee.
Step-by-step explanation:
At x=0, y=10 because he needs to pay $10 to enter, and he haven't rode on anything yet.
x=1, y=12
x=2, y=14
x=3, y=16
... and so on.
pls help me with this:((((
Answer:
it's A (the first answer)
the second one is also A the height of the plant.
it's completely dependent on the starting size and the number of days.
Solve for m.
√m-7 = n + 3
A. m = n 2 + 6n + 16
B. m = n 2 + 6n + 2
C. m = n 2 + 6n - 2
Answer:
A) m=n^2+6n+16
Step-by-step explanation:
sqrt(m-7)=n+3
m-7=(n+3)^2
m-7=(n+3)(n+3)
m-7=n^2+3n+3n+9
m-7=n^2+6n+9
m=n^2+6n+9+7
m=n^2+6n+16
1/2 mile in 1/16 an hour.what is its rate in miles per hour
Answer:
Step-by-step explanation:
Miles per hour is a speed and we usually just hear the number of how fast a car or a rocket or meteor is going. We look at our speedometer in the car and see how fast we're driving, 35mph or 73mph
But it is literally a formula. Miles on top and hours on the bottom, like a fraction. If the numbers you're given are in miles and in hours, your can just fill in the numbers and simplify.
Your numbers are also fractions, so it looks a little scary, but no worries, you can simplify it.
You have 1/2 on top and 1/16 on the bottom. A fraction bar is just a division sign, we're going to divide 1/2 ÷ 1/16 We do this by using the rule:
Keep Change Flip
1/2 Keep
___ Change
1/16 Flip
Keep the 1/2
Change ÷ to *
Flip the 1/16
So it becomes 1/2* 16/1
1/2 * 16 is 8
8 miles per hour is your answer.
If fractions are too terrifying, you could just change 1/2 to .5 and
change 1/16 to .0625
.5 ÷ .0625= 8
Answer: 8mph
The Wilson family invited 100 relatives to their Christmas party. 90 guests had Dutch heritage, 80 had German heritage and 75 had English heritage. What is the minimum number of people who claimed ancestry from all three heritages? What is the formula i use to find out the answer of the question? and how do i find out the answer?
Answer:
Out off 100
Step-by-step explanation:
10 don't have dutch heritage.
20 don't have German heritage.
25 don't have English heritage.
100 - 55
At minimum, 45 people have all three heritages.
HELP ASAP NO LINKS PLS (OR THEY WILL BE REPORTED) SIMPLE ANSWER PLS
Give two systems of equations that would be easier to solve by substitution than by elimination. Then give two systems that would be easier to solve with elimination. Finally, explain how you decide whether to use elimination or substitution to solve a system.
Answer:
These techniques for elimination are preferred for 3rd order systems and higher. They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b. Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method. As the system of equations increases, the "condition" of a matrix becomes extremely important. Some of this may sound completely alien to you. Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n') become larger than 2.
Step-by-step explanation:
Just to add a bit more information, "Elimination" Can have a variety of other interpretations. Elimination techniques typically refer to 'row reduction' to achieve 'row echelon form.' Do not worry if you have not heard of these terms. They are used in Linear Algebra when referring to "Elimination techniques"
Gaussian Elimination
Gauss-Jordan Elimination
LU-Decomposition
QR-Decomposition
These techniques for elimination are preferred for 3rd order systems and higher. They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b. Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method. As the system of equations increases, the "condition" of a matrix becomes extremely important. Some of this may sound completely alien to you. Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n') become larger than 2.
Substitution is the preferred method for 2 equations in 2 unknowns. The constants are unimportant other than having a non-zero determinant. It is always easy to find multiplicative factors using LCMs of one variable or the other to allow substitution into the other equation:
Example:
4X + 5Y = 9
5X - 4Y = 1
Notice that 20 is a LCM of either the X or Y variable. So multiply the first by 4 and the second by 5 and then adding the two (Y's will drop out allowing for substitution)
4(4X + 5Y = 9)
5(5X - 4Y = 1)
Multiplying to produce the LCM factors:
16X + 20Y = 36
25X - 20Y = 5
Adding the equations
41X = 41
X = 1
Substitution into either equation yields
Y = 1
Elimination techniques are preferred for Rank-n>3
Answer:
I like the view
30 POINTS IF U CAN HELP PLEASE. in the figure below, a tangent and a secant are drawn to a circle from the exterior point E. Suppose that EG=13 and ED=26. Find CD
Answer:
19.5 = CD
Step-by-step explanation:
The square of the tangent = the the whole secant times the outside part of the secant.
EG²= (ED)(EC)
13² = (26)(EC)
169 = 26EC
169/26 = EC
6.5 + EC
Now ED = EC + CD
26 = 6.5 + CD
26 - 6.5 = CD
19.5 = CD
Find the area of the shape.
Answer:
27 π
Step-by-step explanation:
Notice that the shape is 3/4 of a circle with radius 6. So we need to find 3/4 of the area of a circle with radius 6. The area of a circle with radius 6 is [tex]\pi r^2 = \pi \cdot 6^2 = 36\pi[/tex].
3/4 of this is [tex]\frac{3}{4} \cdot 36\pi = \boxed{27\pi.}[/tex]
Simplify (y²z⁴)³ and explain answer
Answer:
y^6 z^12
Step-by-step explanation:
When the bases are the same that means that the powers on the inside can be multiplied by whatever is outside.
Hope this helps :)
A,D And E Thats The Answers
Answer:
wait what? hmmm hmmmmmm
Order the angles in the triangle above from largest to smallest.
Largest
1.B
2.D
3.С
Smallest
Barney’s weight is 20 pounds greater than the product of Denny’s weight and 2. Let d represent Denny’s weight. Write an expression that represents Barney’s weight
Answer:
2d+20
Step-by-step explanation:
since he is 20 pounds greater than denny you would just add 2d and 20 im pretty sure
or ig you want to write out the whole thing it would be y=2d+20
Hope This Helps!!
Answer:
[tex]2d + 20[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.