Forty pounds of candy is distributed in 5/7 lb bags. How many bags can be filled?
_______ bags can be filled.
Answer:56 bags
Step-by-step explanation:
you are dividing 40 into 5/7 so its technically 40*7 divided by 5, which equals 56. double check by doing 56*5 divided by 7 and you get 40 pounds,
[tex]\frac{40(7)}{5}[/tex]Answer:
To find out how many can be filled, divide the number of pounds of candy by the number of pounds a single bag can hold.
40 can be considered 40/1.
So,
40/1 ÷ 5/7
Make 5/7 a reciprocal(basically flipping the fraction upside down):
40/1 ÷ 7/5
Convert the division symbol into a multiplication symbol:
40/1 × 7/5
Solve!
[tex]\frac{40(7)}{5}[/tex]
Cancel:
[tex]\frac{8(7)}{1}[/tex]
= 56 bags can be filled.
Change the following fraction to a mixed number with the fraction part reduced to lowest terms. 83/42
Answer:
1 [tex]\frac{41}{42}[/tex]
Step-by-step explanation:
[tex]\frac{83}{42}[/tex] = 83 ÷ 42 = 1 remainder 41 , then
[tex]\frac{83}{42}[/tex] = 1 [tex]\frac{41}{42}[/tex]
Please help I’m not really good at math
Answer:the answer would be equal to.
Step-by-step explanation:
50 points each question. Please help. How do I solve?
Answer:
[tex]\dfrac{dy}{dx}=-y\left(4+\dfrac{1}{x}\right)[/tex]
or written in rational form:
[tex]\dfrac{dy}{dx}=\dfrac{-4xy-y}{x}[/tex]
Step-by-step explanation:
[tex]\ln(xy)+4x=45[/tex]
[tex]\textsf{Apply the product log law}\quad\ln(ab)=\ln(a)+\ln(b):[/tex]
[tex]\implies \ln(x)+\ln(y)+4x=45[/tex]
[tex]\textsf{Add}\:\dfrac{d}{dx}\:\textsf{in front of each term}:[/tex]
[tex]\implies \dfrac{d}{dx}\ln(x)+\dfrac{d}{dx}\ln(y)+\dfrac{d}{dx}4x=\dfrac{d}{dx}45[/tex]
[tex]\textsf{Differentiate the}\: x \: \textsf{terms and constant terms first}:[/tex]
[tex]\implies \dfrac{1}{x}+\dfrac{d}{dx}\ln(y)+4=0[/tex]
[tex]\textsf{When differentiating with respect to}\:y,\: \textsf{differentiate and add}\: \dfrac{dy}{dx}:[/tex]
[tex]\implies \dfrac{1}{x}+\dfrac{1}{y}\dfrac{dy}{dx}+4=0[/tex]
[tex]\textsf{Rearrange to make}\:\dfrac{dy}{dx}\:\textsf{the subject}:[/tex]
[tex]\implies \dfrac{1}{y}\dfrac{dy}{dx}=-4-\dfrac{1}{x}[/tex]
[tex]\implies \dfrac{dy}{dx}=y\left(-4-\dfrac{1}{x}\right)[/tex]
[tex]\implies \dfrac{dy}{dx}=-y\left(4+\dfrac{1}{x}\right)[/tex]
If you want it in rational form, then:
[tex]\implies \dfrac{dy}{dx}=-4y-\dfrac{y}{x}[/tex]
[tex]\implies \dfrac{dy}{dx}=\dfrac{-4xy-y}{x}[/tex]
[tex]~~~~~\ln(xy) +4x = 45\\\\\\\implies \dfrac{d}{dx} \left[\ln(xy) +4x \right] = \dfrac{d}{dx} ( 45)\\\\\\\implies \dfrac{1}{xy} \cdot \dfrac{d}{dx} (xy) + 4 = 0\\\\\\\implies \dfrac 1{xy} \left( x\dfrac{dy}{dx} + y \right) +4 =0\\\\\\\implies x\dfrac{dy}{dx} + y + 4xy=0\\\\\\\implies x \dfrac{dy}{dx} =-y-4xy\\\\\\\implies \dfrac{dy}{dx} = \dfrac{-y-4xy}x[/tex]
Let's say we have a sample of 57 participants in a study, what would the degrees of
freedom be for the study with one sample
Answer:
56
Step-by-step explanation:
degree of freedom is n - 1, n being the sample size
One sample of 57 participants in a study (given)
For this study, n = 57
Using the degree of freedom formula, 57 - 1 = 56
Hope it helps, Let me know if yoy have any more questions/concerns !
Have a nice rest of your day :)
Use the addition property of equality to complete the statement
If 4x-3=10, then
4x=13
Step-by-step
add 3 to both sides making 10=13
4x=13
Approximate 4/9 as a percent?
(10 : 2) • 3 = 10 · (2 - 3)
O A. True
O B. False
Answer:
I have got an answer it is false for explanation go to picture
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEType the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
A hotel survey showed that nearly 30% of the guests staying at the hotel were there for personal reasons. The remainder of the guests were at the hotel on business.
Use the table of randomly generated letters to answer the questions about this scenario. The letter P represents personal reasons, and B represents business reasons.
BBB PBB BPB PPB BBP
BBP PBB PPB PBB BBP
BBP BPB BBB BBB BBB
PPB BPB PBP BPB BBP
BPB PBP PPB PBB BBB
Based on this data, the estimated probability that exactly two of the three guests randomly picked were not there for personal reasons is _____
The estimated probability that it takes at least four guests to find one who is staying for personal reasons is _____
Answer:
8
Step-by-step explanation:
My brother insists that my answer is wrong so can anyone please answer this so I can show him
Answer:
30
Step-by-step explanation:
6/1 x 5/6 = 30/6 or 5.
5/1 divided by 1/6 is 5/1 x 6/1 or 30.
Therefore, the answer is 30.
Answer:
It's C. 30
Multiply 30 by 1/630 goes into 1/6, 5 timesThe first equation's value is 5, therefore the equation is complete, both equations now match.__________________________________________________________
Questions?Ask in comments
Show the number on a number line:
-12 ÷ 4 =
Answer:
well if we take -12 and divide it by four we will get -3.
Step-by-step explanation:
If we have a total of negative 12, just divide it by 4 and the difference between each division is the sum.
Your answer will be -3 on the number line.
:)
Answer:
Step-by-step explanation:
-12/4 = -3
The graph of g(x) = f(x + 2) + 3 is the graph of y = f(x) shifted
Answer:
The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) + 1.5. Which statement about the graphs is true?
The vertex of the graph of g is 1.5 units to the left of
the vertex of the graph of f.
B
The y-intercept of the graph of g is 1.5 units above the
y-intercept of the graph of f.
The graph of g is a reflection of the graph of f across
the y-axis.
The graph of g is a reflection of the graph of f across
the x-axis.
Step-by-step explanation:
1.3 as a mixed number
Answer: 1 3/10
Step-by-step explanation:
first turn it into a fraction 13/10 then how many times does 13 fit into 10. It fits once with 3 remaining. So you get 1 and 3/10
Answer:
1 3/10
Step-by-step explanation:
When you read the decimal number, it reads the same as the equivalent mixed number:
1.3 = "one and three tenths" = 1 3/10
__
Additional comment
This will generally be the case. Some mixed numbers found this way can have their fractions reduced:
1.2 = "one and two tenths" = 1 2/10 = 1 1/5
On a video game Julie earns 150 points for each gold bars she captures if S represents Julie's total score and B represents the number of captured gold bars which statements are correct?
A. s = 150b
B. b = 150s
C. s/150 = b
D. The score (s) is the dependent variable, and the number of bars is the independent variable.
E. The score (s) is the independent variable, and the number of bars is the dependent variable.
Translate the sentence into an inequality.
Ten increased by the product of a number and 5 is less than -15.
Answer:
10 + 5x ≤ -15Step-by-step explanation:
sentence —————————-——————> math expression
Ten increased by —————————————> 10 +
the product of a number ‘x’ and 5 —————> 5x
less than -15 —————————-——————> ...... ≤ -15
Conclusion:
10 + 5x ≤ -15
What is the measure of XYZ?
A. 56.5
Answer:
it is 113*
Step-by-step explanation:
hat is the measure of XYZ?
Pls help me
Pls show your answer pls and thank you
Answer:
Step-by-step explanation:
Beth's position over time is constant, which makes the problem a lot easier. You are asked for the rate of position versus time, so begin by doing that. Since the rate is constant, clearly from the table, you can take any two data points and take their ratio. Her rate would be 11 feet every 5 seconds, or equivalently 2.2 feet every second. To graph the data, put position on the y-axis and time on the x-axis. The slope will be 2.2 at every point along her bike ride.
Moving on to the third part. If Amy traveled at a rate of 75 feet every 30 seconds, then she would be traveling 2.5 feet every second. Amy's rate is larger than Beth's rate. Since the rate corresponds to the slope of the postion vs. time graph, Amy's graph will have a steeper incline since the slope is 2.5
Answer:
B. Every 5 minutes 11 ft. traveled
2.2ft.= every 1 minute
C. Steeper. this is because her rate of change is much higher than before
John made a triangle with all three sides the same length, 1 \frac{2}{3} ft. What is the perimeter of the triangle?
Answer:
5 ft
Step-by-step explanation:
If all sides are of the same length, we can multiply the value of one side by 3, because a triangle has three sides (and the perimeter is all sides added together), to find the perimeter.
[tex]1\frac{2}{3}[/tex] × 3
[tex]1\frac{2}{3}[/tex] can be rewritten as [tex]\frac{5}{3}[/tex], so:
[tex]\frac{5}{3}[/tex] × [tex]\frac{3}{1}[/tex]
[tex]= \frac{15}{3}[/tex]
The numerator & denominator share a common factor of 3, so:
5 ft is the final answer/perimeter.
hope this helps!
23 points see attachment below
Answer:
-3
Step-by-step explanation:
The top left box on the x axis is negitive 3
Find the next two terms in this sequence.
4,8,-16,-32,64, [??],[??]
Answer:
its actually just r=-2
Question
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
m² + 5m.
Answer:
m^2+5m+25/4
perfect square trinomial^^
I need help pleaseeee
Answer:
$110.46
Step-by-step explanation:
1 bath towel is $15.78 we need 7. So the equation is 15.78 x 7 = 110.76.
PLEASE HELP!!! WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
In circle k(O), AC is a diameter, AB is a chord, and MA is tangent to the circle. Angle MAB is acute. Prove that mMAB=mACB.
Let's call C the point on K(O) and segment AO. I assume you're aware of a 'secant tangent angle theorem', where if you know the measure of arc BC you can solve for angle BAD. Since CD is a diameter of the circle, the measure of arc CD is 180 degrees - with this you can easily find the measure of all arcs of the circle then apply the theorem
Find the area of the circle.
Use 3.14 for π.
d = 10 cm
A = [?] cm²
A=TCr2
Answer:
78.5
Step-by-step explanation:
The diameter (d) is equal to the radius x 2, so take half of d to get r. Use r (5) in the equation to get your answer.
A= 3.12 x 5^2
A= 78.5
What is the radius of a sphere with a volume of 320 ft 3 , to the nearest tenth of a foot?
Answer:
A=10240033.0/pift /ft
Step-by-step explanation:
Calculate the area of circle:
Round the number: A=10240033.0/pift /ft
Answer: A=10240033.0/pift /ft
The radius of the sphere is 4.2 feet.
What is a Sphere?A sphere is a geometrical shape in three dimension which has every point on the surface of it at an equal distance from a common point called the center of the sphere.
Volume of a sphere is given by the equation,
Volume = [tex]\frac{4}{3}[/tex]πr³, where r is the radius.
We have volume of the given sphere = 320 feet³
Substituting this value in the main equation, we get,
320 = [tex]\frac{4}{3}[/tex]πr³
320 × 3 = 4πr³
960 / 4π = r³
960 / (4 × 3.14) = r³
r³ = 76.43
r = 4.24 ≈ 4.2
Hence, the radius of the sphere with a volume of 320 feet³ has a radius of 4.2 feet, to the nearest tenth of a foot.
To learn more about spheres, click:
https://brainly.com/question/11374994
#SPJ2
The step function f(x) is graphed.
5
4+
3+
2+
1+
-5-4-3-2-1 1
-2+
-3
-4
-5
92
O
3 4
5 x
What is the value of f(1)?
0
O 1
02
O 4
Answer:
f(1) = 0
Step-by-step explanation:
PLSSSS HELPPPPPPPPPPPPPPPPPP
Answer:
[tex]\huge\boxed{\sf Option \ 1}[/tex]
Step-by-step explanation:
People surveyed = 42
People who approved = 25
So, the sample is:
25 residents who approve.
And population:
42 residents surveyed.
[tex]\rule[225]{225}{2}[/tex]
On a camping trip you bring 12 items for 4 dinners. For each dinner you use 3 items. In how many ways can you choose items for the first dinner? for the second? for the third? for the fourth?
Answer:
220 options, 84 options, 20 options, 1 optionStep-by-step explanation:
The first dinnerCombinations of 3 out of 12 items
12C3 = 12!/(12-3)!3! = 12!/9!3! = 12*11*10/2*3 = 220The second dinnerCombinations 3 out of remaining 9 items
9C3 = 9!/(9 - 3)!3! = 9!/6!3! = 9*8*7/2*3 = 84The third dinnerCombinations of 3 out of remaining 6 items
6C3 = 6!/(6 - 3)!3! = 6!/3!3! = 6*5*4/2*3 = 20 The fourth dinnerCombinations of 3 out of 3 remaining items
3C3 = 3!/(3 - 3)!3! = 3!/0!3! = 1Which statement best describes the figure shown below?
A.
The figure is an example of perpendicular segments because they are coplanar and intersect to form a right angle.
B.
The figure is not an example of perpendicular segments because they are not coplanar.
C.
The figure is not an example of perpendicular segments because do not intersect to form a right angle.
D.
The figure is an example of perpendicular segments because they are not coplanar and intersect to form a right angle.
Answer:
A. . The figure is an example of perpendicular segments because they are coplanar and intersect to form a right angle.Step-by-step explanation:
→the two segments are Coplanar because they are in the same plane
→The angle between the two segments is marked by a little square which indicates that it’s a right angle in other words the segments are perpendicular.
Find the measures of the angles 1 through 7.