Answer:
Jenny James would need to have a score of 97 out of 100 points in order to have an average of 90.
Step-by-step explanation:
Given that:
Scores of four tests
78, 89, 90 and 96
Let,
x be the score on fifth test.
Average is the sum of quantities divided by total number of quantities.
Average = 90
Average = [tex]\frac{Sum\ of\ scores}{No.\ of scores}[/tex]
Putting the values in the formula;
[tex]90=\frac{78+89+90+96+x}{5}\\90=\frac{353+x}{5}\\90*5=353+x\\450=353+x\\450-353=x\\x=97[/tex]
Hence,
Jenny James would need to have a score of 97 out of 100 points in order to have an average of 90.
B
1
N
4
5
5
(4x+6)
(5x -5)
7
00
0
A
С
(3x + 8)
The value of x is
and the length of the base is
Answer: (2x + 3) • (x-1)
Step-by-step explanation:
1 Pull out like factors :
4x + 6 = 2 • (2x + 3)
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
(5x - 5) = 5 • (x - 1)
Can someone help me please, with the step by step explanation ???
Answer:
a=2
Step-by-step explanation:
8a +9=3a +19
Subtract 9 from both sides
-9= -9
8a=3a +10
Subtract -3a from both sides
5a=10
5a=10
5a divided by both sides
5/5
10/5=2
a=2
A vendor at the Saturday Market makes $9 profit on each necklace she sells and $5 profit on each bracelet.
Find a combination of necklaces and bracelets that she could sell and make:
Exactly $100 profit.
Answer:
10 necklaces and 2 bracelets
Step-by-step explanation:
Each necklace sells for 10 dollars, at 9 dollrs each, that makes 90 dollars
That, combined with the 10 dollars the two bracelets would make her, would give the vendor 100 dollars in profit
can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too)
Answer:
Yes it is proportional
Step-by-step explanation:
Notice how when x goes up 1 y goes up by 1.6. There is a pattern, if there is no pattern then you would see that numbers either go up or down with no pattern.
Choose the correct answer. Sally Situp pays $24.95 per month for her fitness center membership. If she works out twice a week for a year, how much does she pay for each visit?
Answer:
2.88
Step-by-step explanation:
24.95*12=299.4
299.4/104(bi-weekly training)=2.8788 This rounds to 2.88
Answer:$0.23
Step-by-step explanation:
JK has endpoints located at J(15, - 13) and K(-9, 27). What are the coordinates of the midpoint of JK?
Answer:
[tex](3,7)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point J (15, -13)
Point K (-9, 27)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint.
Substitute [MP]: [tex](\frac{15-9}{2},\frac{-13+27}{2})[/tex]Subtract/Add: [tex](\frac{6}{2},\frac{14}{2})[/tex]Divide: [tex](3,7)[/tex]is 3x+11/x-4 = 4/x(x-4)
Answer:
x= -5
Step-by-step explanation:
A flagpole that is 28 feet tall casts a 15-foot shadow. At the same time, a nearby tree casts a 21 foot shadow. Find the height of the tree.
Round to the nearest tenth.
Answer:
7.5 ft tall
Step-by-step explanation:
We can find the height of the tree if you provide the actual length of the trees shadow.
Not really sure what a "toilet for a shadow" means.
Example: If the tree cast a shadow that was 4 feet long we would use a ratio:
Height/shadow = Height/Shadow
28/15 = x/4 cross multiply
15x = 4(28)
x = 4(28)/15 ≅ 7.47 ft
Rounding I would call the tree 7.5 ft tall
Hope this helps.
Answer:
39.2 feet
Step-by-step explanation:
In case of flagpole:
[tex] tan \theta = \frac {28}{15}..... (1)[/tex]
Since, a nearby tree casts a 21 foot shadow at the same time. So the angle formed will be equal.
Let the height of the tree be x feet.
Therefore,
[tex] tan \theta = \frac {x}{21}.....(2)[/tex]
From equations (1) & (2)
[tex] \frac {28}{15} = \frac {x}{21}.....(2)\\\\
x = \frac{28\times {21} }{{15} }\\\\
x = \frac{588}{{15} }\\\\
x = 39.2 \\\\
[/tex]
If you have a bit of honesty and sincerity, kindly avoid spamming just for points!
A production process consists of consumption of the following material in Kgs:
49, 50, 38, 60, 75 of materials A, B, C, D. E respectively. How many angle difference between C & D in the pie chart?
a. 25.12% b. 29.12% C.38.15
Need solution with some explanation
Answer:
29.12%
Step-by-step explanation:
Given that :
A = 49
B = 50
C = 38
D = 60
E = 75
Total = (49 + 50 + 38 + 60 + 75) = 272
Pie chart % for each :
A = (49 / 272) * 360 = 64.85
B = (50 / 272) * 360 = 66.18
C = (38 / 272) * 360 = 50.29
D = (60 / 272) * 360 = 79.41
E = (75 / 272) * 360 = 99.26
Difference between C and D
(79.41 - 50.29) = 29.12%
Find the value of x. Use the photo I uploaded to help plz.
A. X=2
B. X=3
C. X=33
D. X=52
we know 15% of 600 now what Is 100% of 600
Answer:
100% of 600 is 600
Step-by-step explanation:
Answer:
600 is the correct answer
Step-by-step explanation:
thanks
Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of v meters per second. Then v = 19.6h. If an object is
dropped from a height of 35.9 meters, with what velocity does it hit the ground?
Round your answer to the nearest tenth.
Answer:
The object hits the ground with a velocity of 703.6 m/s.
Step-by-step explanation:
Evaluating Functions
The function that relates the velocity v in meters by second with the height h in meters an object was dropped from is:
v = 19.6h
We are required to evaluate the function above if we know the object was dropped from a height of h=35.9 meters.
Substituting in the equation:
v = 19.6*35.9
v = 703.64 m/s
Rounding to the nearest tenth:
The object hits the ground with a velocity of 703.6 m/s.
33+36 is the same as Blank +29
which is the same? please help
Answer: The answer is D
Step-by-step explanation: BRAINLIEST PLS
Fay opens a credit card with an APR of 15.25% compounded monthly. How much is charged in interest this month if her balance is $1,300? (4 points)
Answer:
total charge = $ 16.52
refer to the Attachment please :)
hope this helps you ^^"
The graph shows a proportional relationship between y (price) and x (number of pounds of rice).
What is the unit rate, expressed in price per pound?
Answer:
0.80
Step-by-step explanation:
I just took the test I wrote the $1.67 it was wrong.
Suppose that a bond has a face value of ₱ 100,000 and its maturity date is 10 years from now. The coupon rate is 5% payable semi-annually. Find the price of the bond, assuming that the required yield is 4%.
Answer:
Bond Price= $108,175.71
Step-by-step explanation:
Giving the following information:
Face value= $100,000
Coupon rate= 0.05/2= 0.025
YTM= 0.04/2= 0.02
Time period= 10*2= 20 semesters
To calculate the price of the bond, we need to use the following formula:
Bond Price= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]
Bond Price= 2,500*{[1 - (1.02^-20)] / 0.02} + [100,000/(1.02^20)]
Bond Price= 40,878.58 + 67,297.13
Bond Price= $108,175.71
In this exercise we have to use the knowledge of finance to calculate the stipulated value through the percentages, thus we find that:
Bond Price will be [tex]\$108,175.71[/tex]
From the information given in the text we found that:
Face value: [tex]\$100,000[/tex] Coupon rate: [tex]0.05/2= 0.025[/tex] YTM: [tex]0.04/2= 0.02[/tex] Time period: [tex]20 \ semesters[/tex]
To calculate the price of the bond, we need to use the following formula:
[tex]Bond\ Price = cupon*{[1 - (1+i)^{-n}] / i} + [face \ value/(1+i)^n][/tex]
So with the formula already informed we will replace the values given in the text find what we want.
[tex]Bond \ Price = 2,500*{[1 - (1.02^{-20})] / 0.02} + [100,000/(1.02^{20})]\\Bond Price= 40,878.58 + 67,297.13\\Bond Price= \$108,175.71[/tex]
See more about finances at: brainly.com/question/10024737
During an airplanes ascent, the plane reaches a horizontal distance from the airport of 1 km and then 7 km. The plane ascends at a slope of 2/3. Find the vertical distance (y) in feet that the plane traveled during the indicated spots
Answer:
The vertical distance in feet that the plane traveled was 4 Km
Step-by-step explanation:
The Slope of a Line
Suppose we know a line passes across points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The airplane ascent will be modeled with the equation of a line because we are given a constant slope of m=2/3. We also know the horizontal distances are x1=1 Km and x2=7 Km. Substituting in the formula above:
[tex]\displaystyle \frac{2}{3}=\frac{y_2-y_1}{7-1}[/tex]
Operating:
[tex]\displaystyle \frac{2}{3}=\frac{y_2-y_1}{6}[/tex]
Solving for y2-y1, we get the vertical distance traveled by the plane:
[tex]\displaystyle y_2-y_1=6*\frac{2}{3}=4[/tex]
Thus, the vertical distance in feet that the plane traveled was 4 Km
Look at the file please. I need help!
its 9 with the remainder of 53
Below is the graph of linear equation F(x)-2x-4
AL
1. Which point represents the grach's yntercept?
A. Part A C. Point
B. Parte D. Point
2 Which point represents the grach's recept?
A. Porta C. Point
B. Part 3
D. Ponto
1 Which ont represents the grach's 2007
A. Part C. Ponto
B Parts D. Point
Answer:
1. B. point B.
2. C. point C.
3. C. point C.
Step-by-step explanation:
1. In order to find the graph's y-intercept, we need to locate the point where the line crosses the y-axis. This will always happen at x=0, therefore, the y-intercept is located at point B (0,-4)
2. In order to find the x-intercept, we need to find the point where the line crosses the x-axis. This will generally happen when y=0, so that will be point C (2,0)
3. In order to find the graph's zero, we need to find the point where y=0. In other words, the graph's zero is the point where the function is equal to zero (the x-intercept) so this will br point C again (2,0)
The product of 6 and a number.
40 POINTS PLS HELP IMEDIATLY
Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing, and the end behavior when the following changes are made. Make sure to account for even and odd functions.
When f(x) becomes f(x) − 3
When f(x) becomes −2 ⋅ f(x)
HURRY PLZZZ I WIL MARK LOTS OF POINTS Which pattern does not follow the rule subtract 8, multiply by 2, subtract 8,
multiply by 2, .?
A)15,7, 14,6, 12,..
B)20, 12, 24, 16, 30, ...
C)17,9, 18, 10, 20, .
D)24, 16, 32, 24, 48
Answer:
B)20,12,24,16,30
Step-by-step explanation:
A) 15,7,14,6,12
15 to 7: subtract 8
7 to 14: multiply by 2
14 to 6: subtract 8
6 to 12: multiply 2
B) 20,12,24,16,30
20 to 12: subtract 8
12 to 24: multiple 2
24 to 16: subtract 8
16 to 30: add 14
C)17,9,18,10,20
17 to 9: subtract 8
9 to 18: Multiply 2
18 to 10: subtract 8
10 to 20: multiply 2
D)24,16,32,24,48
24 to 16: subtract 8
16 to 32: multiply 2
32 to 24: subtract 8
24 to 48: multiply 2
You can clearly see that all of them follow the pattern except B, making B the answer.
Don't be afraid to reach out if you need any more help. I hope that helps you!
Answer:
B
Step-by-step explanation:
B becasue 30 isn't 16 times 2. It would have to be 32.
8. You deposit $2000 in an account that
earns 5% annual interest. Find the balance
after 1 year if the interest is compounded
quarterly.
A. $2,100
B. $2,101.89
C. $2,102.32
D. $2,102.49
Answer: A, $2,100
Step-by-step explanation:
2000x1.05=2,100
What is the solution to -3/7m < 21???
Answer:
-(3/7)m<21
m>21*-(7/3)
m>-7*7
m>-49
Find the value of X and Y
Answer:
Answer: x=4, y=10
Step-by-step explanation:
Lines and Angles
When lines cross, the angles formed in the intersections meet certain properties that help us to solve some geometry problems.
We must recall the so-called linear angles, defined as the adjacent angles formed in the point where two lines cross.
Linear angles always add up to 180°
We can see line m intersects with the horizontal (unnamed) line forming two pair of linear angles, thus:
29x - 3 + 15x + 7 = 180
Simplifying:
44x +4 = 180
Subtracting 4:
44x = 176
Dividing by 44:
x = 176/44
x = 4
Now below the horizontal line, we find other pair of linear angles, thus:
13y - 17 + 15x + 7 = 180
Substituting x=4:
13y - 17 + 60 + 7 = 180
Simplifying:
13y + 50 = 180
Subtracting 50:
13y = 180 - 50 = 130
Dividing by 13:
y = 130/13 = 10
y = 10
Answer: x=4, y=10
Help me help me help me
Answer:
Step-by-step explanation:
Answer: A
Step-by-step explanation:
We need to convert each city to percentage. Los Angeles is 13/50 and we can double that to convert it to a percentage of 26%. Next is Seattle which is 3/10 and we can multiply that by 10 to get a percentage of 30%. Next is San Francisco, which is at 2/5 and we multiply that by 20 to get a percentage of 40%. Next is Boston which is 43%. The final city is New York City which is 48%. The order of these cities in least to greatest in percentage of public transport use is Los Angeles, Seattle, San Francisco, Boston, and New York City. Therefore the answer is A.
Find the area of the rhombus! Please help!
Answer:
100m
Step-by-step explanation:
First, find the area of one triangle. Use l*w/2 to do that.
10*5=50
50/2=25
Multiply this by 4 to get the total area
25*4=100
Have a good day!
Please help me find the y-intercept! :(
At midnight there were 5 inches of snow on the ground. Since then, snow has been falling at the rate of ½ inch per hour. Identify the y-intercept.
11. The chance of a woman getting breast cancer in her lifetime is 1 out of 8. At this rate, how many
women in classroom of 32 women would be expected to come down with breast cancer in her lifetime?
Answer:4
Step-by-step explanation:8x4=32
Since it is 1 out of 8, 32/8=4