Answer:
The store will use 772 grams of sugar in 10 hours.
Taking into account the rule of three, a candy store uses 772 grams of sugar in 10 hours.
Rule of threeThe rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.
That is, what is intended with it is to find the fourth term of a proportion knowing the other three.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other), the direct rule of three must be applied.
To solve a direct rule of three, the following formula must be followed, being a, b and c known data and x the variable to be calculated:
a ⇒ b
c ⇒ x
So: [tex]x=\frac{cxb}{a}[/tex]
Grams of sugarThe rule of three can be applied as follow: if in 1 hour a candy store uses 77.2 grams of sugar, in 10 hour how many mass is used?
1 hour ⇒ 77.2 grams
10 hours ⇒ x
So: [tex]x=\frac{10 hoursx77.2 grams}{1 hour}[/tex]
Solving:
x= 772 grams
In summary, a candy store uses 772 grams of sugar in 10 hours.
Learn more with this example:
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When 12 is divided by 2/3 which statement about the quotient is true?
The statement when 12 is divided by 2/3 has no remainder is true.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, 12 is divided by 2/3 which is,
= (12)/(2/3).
= 12×(3/2) (we can flip the divisor to make it a multiplier)
= 36/2.
= 18.
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A researcher wants to know how undergraduate college students at her university feel about a list of 1196 undergraduate college students at her university, selects 500 of them at random, and emails a questionnaire to them 107 questionnaires are returned. Of these, 71% stated that they believe that the federal student loan program needs to be completely overhauled. Classify the following groups as the population or the sample for this particular study. If a group does not belong in either category, leave it unplaced.
Population
all undergraduate college students all researcher's university
the 1196 undergraduate college students whose names were obtained
the proportion of all undergraduate college students at the researcher's university who believe that the federal student loan program needs to be completely overhauled
Sample
the 500 undergraduate college students who were randomly choosen
the 71% who stated that the federal student loan program needs to be completely overhauled
Complete Question
The complete question is shown on the first uploaded image
Answer:
Population
All undergraduate college students at the researcher's university ,
Sample
The 107 undergraduate college students who returned the questionnaire
Step-by-step explanation:
From the question we are told that
The list of undergraduate college students obtained from her university is n= 1196
The number of student that are randomly selected is n = 500
The number of e-mail that was returned is k = 107
The proportion that believes that the federal student loan program needs to be completely overhauled is [tex]\^{p} = 0.71[/tex]
Generally the population for this particular study is
All undergraduate college students at the researcher's university ,
this is because they are the total pool of data from which the statistical sample are randomly selected from
Generally the sample for this particular study is
The 107 undergraduate college students who returned the questionnaire
this is because this data provides us with an insight on the perspective of all undergraduate college students at the researcher's university about federal financial aid
The expression −8x3(7x6 − 3x5) is equivalent to?
Answer:
-56x^9+24x^8
Step-by-step explanation:
the perimeter of a rectangular pool is 258 m. If the width of the pool is 52 m, what is its length?
Answer:77 is the length
Step-by-step explanation:52m times 2 =104 104-258=154 divided by 2 =77
Answer:
77
Step-by-step explanation:
Since the two widths is 52+52=104, then subtract that from the total perimeter, 258-104=154, and divide it by two to get the answer, 154/2=77.
3x - 6 + 4 = -20
Solve the multi-step equation and place the steps in the correct order.
ITEM BANK: Move to Bottom
3x - 2 = -20
3x - 6 + 4 = -20
3x = -18
x = -6
1
drag and drop answer here
2
drag and drop answer here
3
drag and drop answer here
4
drag and drop answer here
how do you divide 78.74 divided by 12.7 in steps
Answer:
6.2
Step-by-step explanation:
wjdjcjsbrifwixis
Do these ratios make a proportion? 4:10 and 6:15
I NEED THIS ASAP!!! Thanks!
To see if these ratios make a proportion let us first change them into fractions
= 4:10 = 4/10 = 4 ÷ 2 / 10 ÷ 2 = 2/5
= 6:15 = 6/15 = 6 ÷ 3 / 15 ÷ 3 = 2/5
= Since both these ratios are getting simplified into a same fraction , they are proportional .
Therefore , 4 : 10 :: 6 : 15 ( 4 : 10 is proportional to 6 : 15 )
will made his mini pecan tarts for the southern themed school party he bought 20 pounds (320 ounces) of pecans for $78.40 he put 2 ounces of pecans in each pecan tart he made what was the cost of the pecans in each mini pecan tart
Answer:0.49$
Step-by-step explanation:
so now lets take a look. 320/2=160. 7840/160=49, so one pecan is 49 cents, or 0.49$
What is the slope of this graph?
A. -1/3
B. -3
C. 3
D. 1/3
Answer:
B
Step-by-step explanation:
The formula is rise over run... your rise is negative 3 and your run is one... -3/1 is the same as -3
Answer:
-3 (B)
Between each point on the line, it goes down 3 units.
Solve 6y + 2x = 14 for x.
15/16 pi radians in degrees
Answer:
960 degrees
Step-by-step explanation:
16pi/3 times 180/pi
16/3 times 180
16 times 60= 960
hope this helps!!
Answer:
168
Step-by-step explanation:
e2020
Which statement is true about the graphs of the two lines y = x + 2 and y = x ?
Answer:
I'm going to guess a statment since you didn't provide any
they both have a slope of 1x
Step-by-step explanation:
Write in slope intercept form:
(-3,7) and (6,-8)
Answer:
[tex]y=-\frac{5}{3}x+2[/tex]
Step-by-step explanation:
So we are given 2 points, (-3, 7) and (6, -8), and we are asked to write it in slope-intercept form. To do this, lets first find the slope. To find the slope, we can use the slope formula.
The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where m is the slope and (x₁, y₁) and (x₂, y₂) are points.
Lets plug in (-3, 7) for (x₁, y₁) and (6, -8) for (x₂, y₂).
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-8-7}{6-(-3)}=\frac{-15}{9}=-\frac{5}{3}[/tex]
So now we have found the slope. Lets plug in the slope and one of the points into the equation for point-slope form and then solve for slope-intercept form. I am going to use the point (-3, 7).
[tex]y-7=-\frac{5}{3}(x-(-3))[/tex]
Distribute the -5/3 on the right side.
[tex]y-7=-\frac{5}{3}x-5[/tex]
Add 7 to both sides.
[tex]y=-\frac{5}{3}x+2[/tex]
And now we have the equation in slope-intercept form.
I hope you find my answer and explanation to be helpful. Happy studying.
y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two points are (-3,7) and (6,-8)
m=-8-7/6-(-3)
m=-15/6+3=-15/9
m=-5/3
Now let us find the y intercept b.
7=-5/3(-3)+b
7=5+b
b=7-5
b=2
The y intercept is 2, Now plug in m and b values in slope intercept form to find the equation of line passing through (-3,7) and (6,-8)
y=-5/3x+2
Hence y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)
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Do you think that students should be proficient in addition before learning multiplication?
answer in 175 words! thank you so much :)
Answer:
Yes students should be confident in addition before they proceed to mulplication.This is because addition is the base of multiplication and requires mastery before you start,so It would be much easier to solve
y-2/3(9x - 3y)
With solution
Answer:
y - (18x - 6y)/3
Step-by-step explanation:
y - (2/3)(9x - 3y)
y - [(2)(9x - 3y)]3
y - (18x - 6y)/3
y + (-18x + 6y)/3
y - 6x + 2y
-6 + 3y
Solve using the standard algorithm the area model the distributive property or the partial products method 2,809x4
Answer:
11,236
Step-by-step explanation:
i think this might be the answer but if it not alseat I try helping
Use the image to answer the question below. 10 8 A B 10 8 10 -10 Which series of transformations would result in a figure that is congruent to the triangle ABC?
Answer:
c b a
Step-by-step explanation:
Answer:
cba
Step-by-step explanation:
sorry if its wrong
What does 3g=
In math 8th grade
Answer:
3g can mean several things, depending on the context of the problem. g can be a variable, but it can also mean "grams"
Step-by-step explanation:
how do i put this into factored form? (x-4)^2-9=0
Answer:
x=7,1
Step-by-step explanation:
Use Math Way
A box contains one each of $1, $5, $10, $20, and $100 bills. It costs $14 to reach in and withdraw one bill. What is the expected value?
Answer:
13.20
Step-by-step explanation:
1/5 (1+5+10+20+100) - 14
The required expected value is 13.20.
A box contains bill of = $1, $5, $10, $20, and $100
It costs $14 to reach in and withdraw one bill.
Its estimated value of the variable in probability.
Expected value= mean - 14
= (1+5+10+20+100)/5 -14
= 13.20
Thus, the required expected value is 13.20.
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Easy math problem help me.I will give brainliest
Answer:
25
Step-by-step explanation:
What is the greatest perfect square that is a factor of 392
Answer:
The factor of 392 is 36.
The greatest perfect square that is a factor of 392 is 14.
Given,
392
We need to find the greatest perfect square which is a factor of 392.
What is a factor of a number?Example:
2 x 4 = 6
2 and 4 are factors of 6.
Find the factor of 392.
Possible factors are:
4 x 98 = 392
49 x 8 = 392
196 x 2 = 392
We see that,
4, 196, and 49 are perfect squares.
2 x 2 = 4
14 x 14 = 196
7 x 7 = 49
14 is the greatest perfect square.
Thus the greatest perfect square that is a factor of 392 is 14.
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A. 48+1.2m>40
B. 40+1.2m<48
C. 48+1.2m<40
D. 40+1.2m>48
What is a more economical purchase, a 5-pound box of spaghetti priced at $6.02, or a 1.5-pound box for $1.70?
The path of a punted football is modeled by
f(x) = −
16
1225
x2 +
7
5
x + 1.5
where
f(x)
is the height (in feet) and x is the horizontal distance (in feet) from the point at which the ball is punted.
(a) How high is the ball when it is punted?
Correct: Your answer is correct.
ft
(b) What is the maximum height of the punt? (Round your answer to two decimal places.)
Incorrect: Your answer is incorrect.
ft
(c) How long is the punt? (Round your answer to two decimal places.)
Incorrect: Your answer is incorrect.
ft
Step-by-step explanation:
C is the answer of your question
what is the denominator of 7/2 and 1/2?
9514 1404 393
Answer:
the denominator of each fraction is 2
Step-by-step explanation:
The numerator of a fraction is the number above the fraction bar; the denominator is the number below the fraction bar. In the fraction ...
[tex]\dfrac{7}{2}[/tex]
the numerator is 7, and the denominator is 2.
__
Similarly, the number 2 is below the fraction bar and is the denominator in the fraction ...
[tex]\dfrac{1}{2}[/tex]
The numerator is 1, and the denominator is 2.
_____
The denominators of both of these fractions are 2. Since they are both the same, that value (2) can be used as the common denominator of the sum or difference of these fractions:
[tex]\dfrac{7}{2}+\dfrac{1}{2}=\dfrac{7+1}{2}\qquad\text{or}\qquad\dfrac{7}{2}-\dfrac{1}{2}=\dfrac{7-1}{2}[/tex]
Find the value of x in the figure given that SU = 70.
Answer:
5
Step-by-step explanation:
Can someone solve this for me please?
Answer:
Step-by-step explanation: to progress gradually and carefully from one stage to the nex
Answer:
33.72
Step-by-step explanation:
To figure out the answer, we need to find the total area of the rectangle, and then subtract the blank shape.
Lets first find the area of the rectangle. 4x10=40
Lets now find the area of the blank shape. We fill caculate the area of the circle and then divide by 2 because it is a half circle. 4/2=2. 2x2=4. 4x3.14= 12.56/2=6.28
40-6.28= 33.72
The question to this is that it says jamie draws figure RSTU in the coordinate plane, as shown. Then he reflects Figure RSTU across the x-axis to form figure R’S’T’U’. I need the answer plzz help me
Answer:
R’ = (-6, 3)
S’ = (-3, 3)
T’ = (-3, 7)
U’ = (-6, 6)
Step-by-step explanation: Reflection across the x-axis.
Hope this helps!
What is the equation of this line? (shown in picture)
A. Y = -1/4x
B. Y = 4x
C. Y = -4x
D. Y = 1/4x
The answer is B. Hope this helped.