Each child would get 1/12 th part of the whole watermelon.
For given question,
8 children have to share two thirds of a watermelon equally .
This means we need to equally distribute 2/3 of whole watermelon to 8 children.
To divide 2/3 part of of a watermelon equally into 8 parts, we need to divide 2/3 by 8.
(2/3) ÷ 8
= [tex]\frac{(\frac{2}{3} )}{8}[/tex]
We know that in 8 = 8/1
So, we rewrite the denominator of above fraction as,
[tex]\frac{(\frac{2}{3} )}{8} \\\\= \frac{(\frac{2}{3} )}{(\frac{8}{1} )} \\\\=\frac{2}{3} \times \frac{1}{8} \\\\=\frac{1}{12}[/tex]
This means, each child will get 1/12 part of the whole watermelon.
Therefore, each child would get 1/12 part of the whole watermelon.
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The cost of onedozen of egg is 93.6 find out the cost of each egg
Answer:
7.8 rupees
Step-by-step explanation:
( 3 x 5 + y 2 ) 2 (3x 5 +y 2 ) 2
The value of the expression (3x^5 + y^2)^2 is 9x^10 + 6x^5y^2 + y^4
How to evaluate the expression?The expression is given as:
(3x^5 + y^2)^2
Expand the expression
So, we have
(3x^5 + y^2)^2 = (3x^5 + y^2)(3x^5 + y^2)
Expand the bracket
(3x^5 + y^2)^2 = 9x^10 + 3x^5y^2 + 3x^5y^2 + y^4
Evaluate the sum
(3x^5 + y^2)^2 = 9x^10 + 6x^5y^2 + y^4
Hence, the value of the expression (3x^5 + y^2)^2 is 9x^10 + 6x^5y^2 + y^4
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Andrea sells photographs at art fairs. She prices the photos according to size: small photos cost $10, medium photos cost $15, and large photos cost $40. She usually sells as many small photos as medium and large photos combined. She also sells twice as many medium photos as large. A booth at the art fair costs $300. If her sales go as usual, how many of each size photo must she sell to pay for the booth?
Answer: she must sell 6 large photos and 6 small photos
Step-by-step explanation: and how I knew that is I multiplied 6 40 times and that gives you 240 and if you multiply 6 ten times that gives you 60 so 240 plus 60 is $300
90 = 10(x + 7) solve for x
show steps & describe the number of solutions
Answer:
x = 2
Step-by-step explanation:
Simplifying
90 = 10(x + 7)
Reorder the terms:
90 = 10(7 + x)
90 = (7 * 10 + x * 10)
90 = (70 + 10x)
Solving
90 = 70 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x' to each side of the equation.
90 + -10x = 70 + 10x + -10x
Combine like terms: 10x + -10x = 0
90 + -10x = 70 + 0
90 + -10x = 70
Add '-90' to each side of the equation.
90 + -90 + -10x = 70 + -90
Combine like terms: 90 + -90 = 0
0 + -10x = 70 + -90
-10x = 70 + -90
Combine like terms: 70 + -90 = -20
-10x = -20
Divide each side by '-10'.
x = 2
Simplifying
x = 2
what is difference between fraction and rationals
Answer:
fraction is any number of the form a/b where both a,b are whole numbers
rational number is which is in the form of p/q where people q are integers.mark me brainlist thank you!
TOWERS A lookout tower sits on a network of struts and posts. Leslie measured two angles on the tower. If m∠1=7x-7°, m∠2=4x+2°, and m∠3=2x+6°, what is m∠1?
please explain the answer i want to understand how this works.
Answer:The angles in a triangle add up to 180 degrees
A random sample of 95 seniors are asked whether they plan to attend Homecoming. Of these, 88 seniors said they will attend. What is the margin of error at 90% confidence and it’s interpretation?
A. 0.053; 90% of the time we will capture the true proportion of seniors who will attend homecoming within 0.053 of the population proportion.
B. 0.044; 90% of the time we will capture the true proportion of seniors who will attend homecoming within 0.044 of the population proportion.
C. 0.044; we are 90% confident that the true proportion of seniors who will attend homecoming is within 0.044 of the sample proportion
D. 0.053; we are 90% confident that the true proportion of seniors who will attend homecoming is within 0.053 of the sample proportion
Option C: At margin of error of 0.44, we are 90% confident that the true proportion of seniors who will attend homecoming is within 0.044 of the sample proportion.
What is the confidence Interval?
The formula for confidence interval of proportions is;
CI = p^ ± z√((p^(1 - p^)/n)
where;
CI is confidence interval
p^ is sample proportion
z is test statistic at confidence level
n is sample size
We are given;
n = 95
x = 88
Thus;
p^ = 88/95 = 0.9263
z at CL of 90% = 1.645
Now, margin of error is;
E = z√((p^(1 - p^)/n)
Thus;
E = 1.645√((0.9263(1 - 0.9263)/95)
E ≈ 0.044
Thus, at margin of error of 0.44, we are 90% confident that the true proportion of seniors who will attend homecoming is within 0.044 of the sample proportion.
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4 .3
is V = πr³, wh
3
what is the formula in terms of r? please help
The rearranged formula for volume in terms of radius,r is [tex]\sqrt[3]{\frac{V}{\pi } }[/tex].
What is volume?
Volume is a measure of enthralled three-dimensional space.It's frequently quantified numerically using SI-deduced units or by colorful Homeric units( similar to the gallon, quart, boxy inch). The description of length( cubed) is interrelated with volume. The volume of a vessel is generally understood to be the capacity of the vessel; i.e., the quantum of fluid( gas or liquid) that the vessel could hold, rather than the quantum of space the vessel itself displaces.In ancient times, volume is measured using analogous-structured natural holders and latterly on, standardized holders. Some simple three-dimensional shapes can have their volume fluently calculated using computation formulas. Volumes of more complicated shapes can be calculated with integral math if a formula exists for the shape's boundary.Volume, V = [tex]\pi r^3[/tex]
Rearranging,
r =[tex]\sqrt[3]{\frac{V}{\pi } }[/tex]
The rearranged formula for volume in terms of radius,r is [tex]\sqrt[3]{\frac{V}{\pi } }[/tex].
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1. Find the area of the triangle below.
5.6 m
9.9 m
4.4 m
7.8 m
A. 17.16 m²
B.
19.42 m²
C.
21.78 m²
D.
24.52 m²
Answer:
21.78 m^2
Step-by-step explanation:
9.9 x 4.4 / 2 = 21.78 m^2
The kitchen wall is a rectangle measuring 7m by 2m.
Each tile is 50cm by 50cm. How many tiles is needed?
Calculate the density of a solid substance if a cube measuring 2.57 cm on one side has a mass of 120. g
The required density of the given solid substance is 7.07 g/cm³.
What is the density of a substance?
The density of a substance is the property which is obtained by dividing the mass of the given substance by its volume. Its SI unit is kg/m³.
Calculation for the density of a solid substance
Mass of the given substance = 120 g
Side of cube, a = 2.57 cm
The volume of the given substance = a³
= 2.57³
= 16.97 cm³
The density of the given substance is given by the mass of the substance/volume of the substance
= 120 / 16.97
= 7.07 g/cm³
Hence, the density of the given solid substance is 7.07 g/cm³.
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Find the equation of this line.
y = [? ]x + [ ]
Simplify your answer and enter as an integer.
Answer:
y =x + 3
Step-by-step explanation:
i gotchu
Choose the correct scientific notation.1,345,080,000
The scientific notation form of the given number 1,345,080,000 is 1.34508 × 10⁹.
What is the scientific notation form?Given the number in the question;
1,345,080,000
To convert to scientific notation;
First, move the decimal so there is one non-zero digit to the left of the decimal point.
Now, the number of decimal places you move will be the exponent on the 10
Note that; if the decimal is being moved to the right, the exponent will be negative, also, If the decimal is being moved to the left, the exponent will be positive.
1.345080000
We moved 9 decimal places to the left
1.34508 × 10⁹
Therefore the scientific notation form of the given number 1,345,080,000 is 1.34508 × 10⁹.
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what is the least number that must be subtracted from 3793 for getting a perfect square
Answer:
Step-by-step explanation:
So the nearest perfect square to 3793 is 3721. Hence, the least number that must be subtracted from 3793 to get a perfect square = 3793 - 3721 = 72.
Answer:
ABBCBAAHSHSHDHEEHDHSHHH74737477382
[tex]\frac{3}{7}x - \frac{4}{7} = -\frac{1}{7} \\[/tex]
Solve for x
Answer:
x = 1===================
Given equation:
[tex]\cfrac{3}{7}x- \cfrac{4}{7}=-\cfrac{1}{7}[/tex]Multiply all terms by 7 to get rid of fraction:
3x - 4 = - 13x = 4 - 13x = 3x = 1Solving for the value of x,
→ (3/7)x - (4/7) = -1/7
→ (3x - 4)/7 = -1/7
→ 3x - 4 = (-1/7) × 7
→ 3x - 4 = -1
→ 3x = -1 + 4
→ x = 3/3 = 1
Hence, the value of x is 1.
A car driving at 10.0 m/s southward accelerates at 4.11 m/s2 southward for 7.25 s. what is the car's speed after this amount of time?
The car's speed after the given amout of time is 19.8 m/s²
How would you define acceleration?The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration. A point or object going straight ahead is accelerated when it accelerates or decelerates. Any alteration in an object's velocity could take the form of a change in direction of motion or a speed increase or reduction. The moon orbiting the earth, an apple falling to the ground, and a car stopped at a stop sign are a few instances of acceleration.
Average Acceleration =Change in Velocity/ Time Taken
So Change in Velocity is 10-x m/s
Time taken is 7.25 s
Given accelaration 4.11 m/s²
Putting the values we get,
4.11 = (10-x)/7.25
⇒29.8 = 10-x
⇒x=19.8 m/s²
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In anova, by dividing the mean square between groups by the mean square within groups, a(n) _____ statistic is computed.group of answer choices
In anova, by dividing the mean square between groups by the mean square within groups, a(n) Analysis of variance statistic is computed.
What is Analysis of variance ?
With the help of the statistical analysis approach known as ANOVA, apparent aggregate variability within a data set is explained by separating systematic components from random factors. Systematic influences, but not random ones, statistically affect the data set that is being presented.What are some instances where ANOVA has been applied?
An ANOVA demonstrates the link between the dependent variable and the level of the independent variable. For illustration: In order to determine whether there is a difference in the number of hours of sleep each night as your independent variable, you divide the groups into low, medium, and high social media use categories.Learn more about Analysis of variance
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I need help asap!! 20 points!!
a book weighs 4 3/8 pounds. a store needs to mail 5 copies of the book.
create an equation to find how many pounds the books weigh in all.
Equation of the book on how many pound the books weigh is T = w*n and the weight of the books is 175/3 pounds.
It is given in the question that the book weighs 4 and 3/8 pounds and the number of copies that are needed to mail are 5.
We have to find the equation to find the weight of 5 copies of the book.
The equation will be:-
Total weight of books = Weight of 1 book * Number of copies of book
Let total weight be T
Let weight of 1 book = w
Let number of copies of a book = n
Hence, equation becomes:-
T = w*n
We can find the total weight of the books.
T = (4 and 3/8 )*5
T = (35/3)*5
T = 175/3 pounds
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How do you make the number 38 with 3,4,2,7
Answer:
2*7*3-4
Step-by-step explanation:
It think it works? 14*3 is 42-4 is 38
If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standard deviation?
The sample standard deviation is (B) $3.16.
What is the sample standard deviation?The sample standard deviation is defined as the root-mean-square of the differences between observations and the sample mean: A significant deviation is defined as two or more standard deviations from the mean. The lowercase Greek letter (sigma) for the population standard deviation or the Latin letter s for the sample standard deviation is most commonly used in mathematical texts and equations to represent standard deviation. For example, if the sample variance for a frequency distribution of hourly wages is 10 and the sample standard deviation is $3.16.Therefore, the sample standard deviation is (B) $3.16.
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The complete question is given below:
If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standard deviation?
A. $4.67
B. $3.16
C. $1.96
D. $10.00
write an equation for the line in slope-intercept form
Answer:
y = 2x + 3
Step-by-step explanation:
i gotchu
Find two consecutive whole numbers that √130 lies between.
evaluate
(1 +-3)²(-4--3)
Answer:-4
Step-by-step explanation:
Ryan works for a delivery service. The function f(n) is used to calculate his daily pay, in dollars, on a day when he makes n deliveries.
Two families visited an amusement park. The first family bought 2 hot dogs and 3 bottles of waters, which totaled $18. The second family bought 4 hot dogs and 2 bottles of waters, which totaled $28. How much did one hot dog cost?
$2
$4
$5
$6
The answer is 6.
6x4=24
and that leaves the water to =2 per bottle.
so, 24+4=28
Answer:
$6.00
Step-by-step explanation:
To solve this problem, we have to construct two separate equations for each family, and then use any of the methods for solving simultaneous equations.
Let's consider h to represent the cost of 1 hot dog, and w to mean the cost of 1 water bottle.
• For the first family:
[tex]2h + 3w = 18[/tex]
We can rearrange the equation to make w the subject:
⇒ [tex]3w = 18 - 2h[/tex]
⇒ [tex]w = \frac{18 - 2h}{3}[/tex]
• For the second family:
[tex]4h + 2w = 28[/tex]
Since we have previously obtained an expression for w in terms of h, we can substitute that expression for w in the above equation, and then solve for h:
⇒ [tex]4h + 2(\frac{18 - 2h}{3}) = 28[/tex]
⇒ [tex]4h + \frac{36 - 4h}{3} = 28[/tex]
⇒ [tex]12h + 36 - 4h = 84[/tex] [Multiplying both sides of the equation by 3]
⇒ [tex]8h + 36 = 84[/tex]
⇒ [tex]8h = 48[/tex]
⇒ [tex]h = \bf 6[/tex]
∴ The price of one hot dog is $6.00.
The cost of one hot dog at an amusement park is $6.
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x - 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
Let, the cost of hot dogs is 'x' and the cost of bottles of water be 'y'.
From the given information the two linear equations can be formed as,
2x + 3y = 18...(i) and 4x + 2y = 28...(ii)
Multiplying equation (i) by 2 and subtracting form (ii) we have,
4x + 2y = 28.
(-) 4x + 6y = 36
_____________
- 4y = - 8.
y = 2.
And hence x is equal to, 4x + 4 = 28 ⇒ 4x = 24 ⇒ x = 6.
So, The cost of one hog dog is $6.
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Please help me find the range because I am confused.
Answer: 33.81<=w<=33.91
Step-by-step explanation:
w=weight in ounces
33.86-0.05<=w<=33.86+0.05 ==> 0.05 weight difference form 33.86, the ideal weight.
33.81<=w<=33.91
Write 26/9 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Answer:
The decimal is 2.8 The 8 is the repeating decimal I just couldn't add the line to the top. So it would be 2.88888...
Step-by-step explanation:
Use the graph to complete each statement. Drag tiles to complete the statements.
Answer: A=ellen B=Dion C=Corey D= Alex E= Corey F=Ellen
Step-by-step explanation:
14. Determine whether the relation shown in the
table is a function. Explain. (Lesson 2-1)
Domain
Range
-4
8
2
11
-4
13
5
13
Now, it is not a function, same domain has different ranges
Based on the regression output, what proportion of the variability in revenue can be accounted for by whether the red sox are playing away? 22.5
By the given regression output, 22.5 % proportion of the variability in revenue can be accounted for by whether the red sox are playing away
the R- squared is to explain the variability in the dependent variable as an outcome of the difference in the independent variable, therefore the relevant figure here, the revenue is the dependent variable and the Red sox playing away is the independent variable out here.
So, the proportion will be = 0.2252 x 100%
= 22.5%
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