Answer:
a score of 100 is required
Step-by-step explanation:
the average is calculated as
average = [tex]\frac{sum}{count}[/tex]
given her average for 4 subjects is 80 , then
[tex]\frac{sum}{4}[/tex] = 80 ( multiply both sides by 4 to clear the fraction )
sum = 320
let x be the score required to raise average to 84 , then
[tex]\frac{320+x}{5}[/tex] = 84 ( multiply both sides by 5 )
320 + x = 420 ( subtract 320 from both sides )
x = 100
she requires to score 100 in her fifth subject
Answer: she needs score 100 in the fifth subject.
Step-by-step explanation:
Let a subject is nₓ
Hence,
[tex]\displaystyle\\\frac{n_1+n_2+n_3+n_4}{4} =80\\[/tex]
Multiply both parts of the equation by 4:
[tex]n_1+n_2+n_3+n_4=(80)(4)\\n_1+n_2+n_3+n_4=320[/tex]
[tex]\displaystyle\\\frac{n_1+n_2+n_3+n_4+n_5}{5}=84[/tex]
Multiply both parts of the equation by 5:
[tex]n_1+n_2+n_3+n_4+n_5=(84)(5)\\(n_1+n_2+n_3+n_4)+n_5=420\\320+n_5=420\\320+n_5-320=420-320\\n_5=100[/tex]
1.1 building blocks of geometry
Step-by-step explanation:
1. S
since PS = SQ, S must be exactly in the middle.
2. NQ = 3×PS = 3×3 = 9 cm
we see, NP = PS = SQ. so, NQ = NP + PS + SQ = e.q. 3×PS
3.
not sure what your teacher means.
line segment
line
NPS (as alternative to just NS)
4.
S is an endpoint of SQ.
5.
P is the midpoint of NS.
6.
NS is congruent to PQ.
7.
similar to 3.
line segment
line
SPN (as alternative to just SN)
Each statement :
1) 'S' is the midpoint of PQ.
2) NQ is 9cm long
3) Another name of NS is the line segment NS.
4) S is an endpoint of SQ.
5) P is the midpoint of NS.
6) NS is congruent to PQ
7) Another name of NS is the line segment NS.
Given, that line segment PS is 3cm long .
1.
'S' is the midpoint of PQ.
since PS = SQ, S must be exactly in the middle.
2.
NP = PS = SQ.
So, NQ = NP + PS + SQ
= 3 × PS
NQ = 3×PS
= 3×3
= 9 cm
Thus NQ is 9cm long .
3.
Another name of NS is the line segment NS.
P is the midpoint of NS.
So, NP = PS
4.
Line segment is starting from point S.
S is an endpoint of SQ.
5.
P is the midpoint of NS.
So, NP = PS
6.
In line segment NS,
NP = PS
In line segment PQ,
PS = SQ
NS is congruent to PQ.
7.
Another name of NS is the line segment NS.
P is the midpoint of NS.
So, NP = PS
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Suppose you want to determine exactly where the lines y=2x-7/4 and y = 3 - 3x intersect. Use algebra to determine the point of intersection and be
prepared to explain your method.
The point of intersection of the lines would be (19/20, 3/20) which are the lines y=2x-7/4 and y = 3 - 3x intersect each other.
To determine exactly where the lines y = 2x-7/4 and y = 3 - 3x intersect.
We need to find where both lines are intersect,
Thus, we would be required to equate them
⇒ 2x - 7/4 = 3 - 3x
Rearrange the likewise terms in the above equation,
⇒ 2x + 3x = 3 + 7/4
Apply the addition operation, and we get
⇒ 5x = 19/4
⇒ x = 19/(4)(5)
⇒ x = 19/20
Substitute the value of x = 19/20 in the equation y = 3 - 3x, we get
⇒ y = 3 - 3(19/20)
⇒ y = 3 - 57/20
⇒ y = 3/20
Therefore, the point of intersection of the lines would be (19/20, 3/20)
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Solve the following:
-(6x + 6) +2=-6x-3
Answer:
no solution
Step-by-step explanation:
- (6x + 6) + 2 = - 6x - 3 ← distribute parenthesis on left side and simplify
- 6x - 6 + 2 = - 6x - 3
- 6x - 4 = - 6x - 3 ( add 4 to both sides )
- 6x = - 6x + 1 ( add 6x to both sides )
0 = 1 ← not possible
this indicates the equation has no solution
Answer:
No Solution, 0 = 1
Step-by-step explanation:
a) Simplify both sides of the equation.
−(6x + 6) + 2 = −6x − 3
−6x+ −6 + 2 = −6x + −3
(−6x) + (−6 + 2) = −6x − 3
−6x + −4 = −6x − 3
−6x − 4 = −6x − 3
b) Add 6x to both sides.
−6x − 4 + 6x = −6x − 3 + 6x
−4 = −3
c) Add 4 to both sides.
−4 + 4 = −3 + 4
0 = 1
A company sells two different sizes of exercise balls. The ratio of the diameters is 15: 11 . If the diameter of the smaller ball is 55 centimeters, what is the volume of the larger ball? Round to the nearest tenth.
The volume of the larger ball the company sells is 220,893.2 cubic centimeters.
If the diameter of the smaller ball is 55 centimeters, and the ratio of the diameters of two different sizes of exercise balls is 15 : 11, then
diameter of larger ball / diameter of smaller ball = 15 : 11
diameter of larger ball = 15 (55 cm) / 11
diameter of larger ball = 75 cm
If the diameter of the larger ball is 75cm, and half of the diameter is the radius, then:
r = D/2
r = 75cm/2
r = 37.5 cm
Solving for the volume of the larger exercise ball using the formula for the volume of the sphere given by:
V = 4/3πr^3
V = 4/3π(37.5 cm)^3
V = 220,893.2335 cubic centimeters
Rounding off to the nearest tenth.
V = 220,893.2 cubic centimeters
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A radio station gives away $15 to every 15th caller, $25 to every 25th caller, and a free concert ticket to every 100th caller. When will the station first give away all three prizes to one caller?
The radio station awarded all three prizes to the 300th caller.
What is termed as the LCM?LCM is an abbreviation for "Least Common Multiple." The smallest multiple which two or even more numbers have now in common is defined as the least common multiple.The least amount divisible from both numbers is the LCM of two numbers.Discovering the lowest common denominator (LCD) of 2 or more fractions is a common application of LCM.To estimate the one caller to receive the all three prices, find the LCM of 15, 25 and 100.
LCM of 15, 25 and 100 is as follows;
3 15, 25, 100
----------------------
4 5, 25, 100
-----------------------
5 5, 25, 25
----------------------
5 1, 5, 5
-----------------------
1, 1, 1
LCM = 3×4×5×5
LCM = 300
Therefore, the radio station will first award all three prizes to the 300th caller.
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the volume of solid hemisphere is 19404cm3 and find its total surface area
Answer:
The volume of a solid hemisphere is 19404 cm3. Its total surface area is. 4158 cm.
Step-by-step explanation:
I hope this will be helpful for you and please like my answer.
need help on this plsssssss
Points A,B,C are collinear and B is between A and C. Given AB=12 and AC=19, what is BC?
Answer:
BC = 7
Step-by-step explanation:
Due to the segment addition postulate, AB + BC = AC
Substitute: 12 + BC = 19
BC = 7
the first package has 17 cards second package has 21 thrid has 22 fourth has 16
The mean number of packages is 19.
How to calculate the mean?It should be noted that mean also means the average of a set of numbers given.
In this case, there are four packages.
The total cards will be:
= 17 + 21 + 22 + 16
= 76
Therefore, the average will be:
= Total cards / Number of package
= 76/4
= 19
Therefore, the mean number of packages is 19.
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The first package has 17 cards second package has 21 thrid has 22 fourth has 16. What is the mean?
Evaluate the quantity negative four thirds squared all cubed.
4,096 over 729
1,024 over 243
negative 1,024 over 243
negative 4,096 over 729
The value of the given expression is 4,096/729. Therefore, option A is the correct answer.
The given expression is ((-4/3)²)³.
We need to evaluate the given expression.
What are exponents?A number's exponent indicates how many times the number has been multiplied by itself.
Now, ((-4/3)²)³=((-4/3)×(-4/3))³
=(16/9)³
=(16/9)×(16/9)×(16/9)
=(16×16×16)/(9×9×9)
=4,096/729
The value of the given expression is 4,096/729. Therefore, option A is the correct answer.
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write this ratio in the simplest frorm 6 to 21
Answer: 2 to 7
Step-by-step explanation:
divide both by three, it's the greatest common factor
The graph of f(x) = 2x³+x² - 4x-2 is shown.
How many of the roots of f(x) are rational?
O 0
O 1
O2
O3
DONE
Answer:
a o espero que te ayude me piedes dar corona
8+3(4+6)divided by 2 =
Answer:
23
Step-by-step explanation:
8+3(4+6)/2
8+3(10)/2
8+30/2
8+15
=23
please give me a brainlist
-4r-7+10r=-7+6r one solution
Answer/Step-by-step explanation:
-4r - 7 + 10r = -7 + 6r
6r - 7 = -7 + 6r
+7 +7
6r = 6r
This equation is true
All real numbers (-∞, ∞)
I hope this helps!
Question 15 of 25
Find the range of the graphed function.
0<y<8
given,
The y axis has a plot as low as 0.
soo it would be 0.
Then, the highest plot is marked as high as 8.
Therefore its 0<y<8.
a diagram (such as a series of one or more points, lines, line segments, curves, or areas) that represents the variation of a variable in comparison with that of one or more other variables
Types of Graphs and Charts;
Bar Chart/Graph.
Pie Chart.
Line Graph or Chart.
Histogram Chart.
Area Chart.
Dot Graph or Plot.
Scatter Plot.
Bubble Chart.
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The range of the graphical function is: 0<y<8
The graph of a function f is the set of ordered pairs, where {f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
Given that
The y axis has a plot as low as 0.
Soo it would be 0.
Then, the highest plot is marked as high as 8.
Therefore its 0<y<8.
Types of Graphs and Charts;
Bar Chart/Graph, Pie Chart, Line Graph or Chart, Histogram Chart, Area Chart, Dot Graph or Plot, Scatter Plot., Bubble Chart.
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ill make the points bigger answer the question
hi
area of rectangle is Length * width
Length is : 3 +1/3 so 9/3 +1/3 = 10/3
width : 5 + 2/3 = 15/3 + 2/3 = 17/3
so Area = 10/3 * 17/3 = 170/9
Area is 170/9
Answer
Step-by-step explanation:
first we have to multiply length of rectangle and width of rectangle according to it's formula and then change it to improper fraction
I forgot to write the unit at the end of answer which should be yd²
Given f(x)=3(2−x), what is the value of f(−4)?
10a=22
please help me
Answer:
2.2
Step-by-step explanation:
10 x a = 22
÷10
a = 2.2
Hope this helps!
Tiffany has a goal to complete a triathlon. The race consists of a 0.93-mile swim, a 24.8-mile bike ride, and a 6.2-mile run. In training, Tiffany can swim at an average pace of 2.2mph. She rides her bike at an average of 18.2mph and runs at 5.1mph. Estimate how long it will take her to complete the triathlon.
Answer:
3 hours
Step-by-step explanation:
Time = distance / rate
.93 miles / 2.2 mile/hr + 24.8 mile / 18.2 m/hr + 6.2 mile / 5.1 mile/hr = 3.00 hr
Finally, the total time in which Tiffany will complete the race will be 3 hours.
What is speed?speed is a quantity that expresses the relationship between the space traveled by an object. That is, the speed is associated with the change of position of an object in space within a certain amount of time.
Given that The race consists of a 0.93-mile swim, a 24.8-mile bike ride, and a 6.2-mile run.
In training, she can swim at an average pace of 2.2mph. She rides her bike at an average of 18.2mph and runs at 5.1mph.
We know that Time = distance / rate
So, total time= 0.93 miles / 2.2 mile/hr + 24.8 mile / 18.2 m/hr + 6.2 mile / 5.1 mile/hr
total time = 3.00 hr
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PLEASE HELP!
The South Shore community of Bay Shore has 7,482 homes it. The Turf Tec team recently installed a new turf field at the HS football stadium. It took the team the entire summer, 12 weeks to finish the job. The team consisted of 12 laborers earning $65 per hour and 4 Supervisors earning $85 per hour. They worked 10 hours a day for 6 days a week, Monday thru Saturday. The new turf cost $15,000 per piece. The field needs 15 pieces. Find: a) Total Labor Cost b) Total Product Cost c) Total Cost d) Cost per Home e) Cost per Week
Using proportions, the costs are given as follows:
a) Total Labor Cost: $806,400.
b) Total Product Cost: $225,000.
c) Total Cost = $1,031,400.
d) Cost per home = $137.85.
e) Cost per week = $85,950.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For item a, the labor cost is found using the earnings of the workers, as follows:
12 weeks x 6 days x 10 hours x (12 laborers x 65 per hour + 4 supervisors x 85 per hour).
Hence:
L = 12 x 6 x 10 x (12 x 65 + 4 x 85) = $806,400.
For item b, the product cost is the cost of the turf, hence:
15 pieces x $15,000 per piece
15 x 15,000 = $225,000.
For item c, the total cost is the sum of the product cost and the labor cost, hence:
Total Cost = 806,400 + 225,000 = $1,031,400.
For item d, the cost per home is found dividing the total cost by the 7,482 homes, hence:
Cost per home = 1031400/7482 = $137.85.
For item e, the cost per week is found dividing the total cost by the 12 weeks, hence:
Cost per week = 1031400/12= $85,950.
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Sita walks from her house 160 meters north and from there 630 meters west to visit her friend. While comin back, she walked diagonally from her friend's house back to her home. What distance did she walk while coming back?
Answer:
650 meters
Step-by-step explanation:
Use the pythagorean theorem.
a²+b²=c²2
160²+630²=c²
c²=422500
√422500 = 650
Express
in simplest radical form.
Answer:
Expressing in simplest radical form means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find.
Step-by-step explanation:
I think this is the answer you need
please make my answer as brainelist
Each hour, 7.5 liters drain from a large water tank. The tank initially held 83 liters of water. What does the expression 83−7.5t represent? the number of hours that have passed the number of hours until there are zero liters left the volume of water left after t hours the volume of water drained after t hours
The expression 83−7.5t represent C. the volume of water left after t hours.
How to illustrate the expression?From the information, each hour, 7.5 liters drain from a large water tank and thee tank initially held 83 liters of water.
Therefore, the expression 83−7.5t represent the volume of water left after t hours.
In conclusion, the correct option is C.
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Find the slope of the line from the pair of points (-1, -1) , (-3, 1)
A. 1
B. -2
C. -1
D. 1/2
Answer:
The slope is c. -1Step-by-step explanation:
your welcome! <3
Describe the similarities and differences between a common difference and a common ratio.
The similarity between common difference and common ratio is that both are used to find the next term, but common difference is added while common ratio is multiplied.
Common difference (d) is defined as the difference between consecutive terms in an arithmetic sequence. It is determined by subtracting the term from the preceding term. For example, in an arithmetic sequence 2, 5, 8, 11,…, the common difference is 5-2=3 or 8-5=3.
The sequence will be: a, a+d, a+2d, a+3d,… a+nd.
In the general form:
d=an -an-1, where an is the nth term and an-1 is the preceding term.
Common ratio (r) is defined as the quotient between consecutive terms in a geometric sequence. It is determined by dividing the term by the preceding term. For example, in an geometric sequence 2, 4, 8, 16,…, the common ratio is 4/2=2 or 8/4=2.
The sequence will be: a, ar, ar^2, ar^3,…ar^n.
In the general form:
r=an/an-1, where an is the nth term and an-1 is the preceding term.
Hence, both common difference and common ratio shows relationship between consecutive terms in a sequence. Common difference is added to the term to find the next term while common ratio is multiplied to the term to find the next term.
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The beta club is selling gift baskets to raise funds. Each basket sells for $13 and costs $6.50 to make. Write and expression to model a profit the beta club earns for each basket b sold.
The expression that models a profit P the beta club earns for each basket b sold is:
P = 6.50b
or
P = 13b - 6.50b
Given,
The beta club is selling gift baskets to raise funds.
Each basket sells for $13 and costs $6.50 to make.
We need to write an expression to model a profit the beta club earns for each basket b sold.
How do find profit?The profit is given by:
Profit = Selling price - cost price.
We have,
Selling price = $13
Cost price = $6.50
Find the expression for the profit.
The expression can be written as:
P = b ( 13 - 6.50 )
= 6.50b
or
P = 13b - 6.50b
Where b = number of baskets.
Thus the expression that models a profit P the beta club earns for each basket b sold is:
P = 6.50b
or
P = 13b - 6.50b
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Solve each system by elimination.
2a + 3b = 12 , 5a - b = 13
By elimination, the solution of the system of equations, 2a + 3b = 12 and 5a - b = 13, is (a , b) = (3 , 2).
A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy all the equations.
There are three methods that can be used to solve system of equations.
1. Elimination
2. Substitution
3. Graphing
Using the elimination method, given two equations in a and b, a variable should be eliminated by adding/subtracting the two equations.
Multiply first equation 2 by 3.
5a - b = 13 (equation 2)
15a - 3b = 39
Adding the two equations will eliminate the variable b.
2a + 3b = 12 (equation 1)
15a - 3b = 39 (equation 2)
17a = 51
a = 3
Substitute the value of a to any of the two equations and solve for b.
2a + 3b = 12 (equation 1)
2(3) + 3b = 12
3b = 12 - 6
3b = 6
b = 2
Hence, the solution of the system of equations is (a , b) = (3 , 2).
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1: Simplify:
-5+8-7
Answer:
Step-by-step explanation:
=(-5+8)-7=3-7=-4=-4
Step-by-step explanation:
-5(+8-7)
= -5+1
= -4
I hope this answers helps you a lot
Factor the following polynomial completely: 6x^2+12x+6
The correct answer is 6(x+1)2
Explain in full detail how this answer is achieved
The given polynomial, 6•x² + 12•x + 6, can be factored by rearranging and looking for the common factors to give;
6•x² + 12•x + 6 = 6•(x + 1)²
How can the given polynomial be factored?The given polynomial is presented as follows;
6•x² + 12•x + 6
The coefficients in the terms and the constant have a common factor of 6, which gives;
6•x² + 12•x + 6 = 6•(x² + 2•x + 1)
x² + 2•x + 1 = x² + x + x + 1
x² + x + x + 1 = x•(x + 1) + 1•(x + 1)
x•(x + 1) + 1•(x + 1) = (x + 1)•(x + 1) = (x + 1)²
Therefore;
x² + 2•x + 1 = (x + 1)²
6•(x² + 2•x + 1) = 6•(x + 1)²
6•x² + 12•x + 6 = 6•(x² + 2•x + 1)
Therefore;
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Solve for the value of t.
Answer: t =
(2t-4)
(5t+2)°
Submit Answer
Answer:
Step-by-step explanation:
If you are to check carefully you will find that the two angles are lying on a straight line of which is 180°
mathematically
[tex](2t-4)+(5t+2)=180\\2t+5t-4+2=180\\7t-2=180\\7t=180+2\\7t=182\\\frac{7t}{7} =\frac{182}{7} \\t=26[/tex]
