Sam will take four science tests this quarter. Her scores on three of the tests
are shown below.
Test 1
83%
Test 2
91%
Test 3
88%
Test 4
?
What does Sam need to score on the fourth test to ensure that she will have an
average of 90% for all four tests?
%
Answer:
98%.
Step-by-step explanation:
The following data were obtained from the question:
Test 1 (T₁) = 83%
Test 2 (T₂) = 91%
Test 3 (T₃) = 88%
Test 4 (T₄) =?
AVERAGE = 90%
We can obtain the score of 4th test by doing the following:
AVERAGE = (T₁ + T₂ + T₃ + T₄) /4
90 = (83 + 91 + 88 + T₄) /4
90 = (262 + T₄) /4
Cross multiply
90 × 4 = 262 + T₄
360 = 262 + T₄
Collect like terms
360 – 262 = T₄
T₄ = 98%
Therefore, Sam need to score 98% in the 4th test in order to have an average score of 90%.
a dice numbered 1-6 is rolled 20 times.How many times will a number less than 4 show?
a.5
b.10
c.15
d.never
A video game costs $\$54$ dollars after it is released. Every two years, retailers lower the price by multiplying it by 2/3. How much does the game cost after six years?
Answer:
$6
Step-by-step explanation:
54 × ([tex]\frac{2}{3}[/tex] × [tex]\frac{1}{6}[/tex])
54 × [tex]\frac{1}{9}[/tex]
6
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Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The video game cost after six years is $16.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
A video game costs $54 dollars after it is released. Every two years, retailers lower the price by multiplying it by 2/3.
Therefore, the cost of the video game after 6 years is,
Cost of video game after 6 years = $54 × (2/3)³ = $16
Hence, the video game cost after six years is $16.
Learn more about Multiplication:
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Which step can you use to solve the equation first -5+p=4?
Answer:
Step-by-step explanation:
You have to do the opposite of the firs t one. You are going to add 5 to the four to get
p = 9. There is your answer! Add on both sides!
Answer:
add 5 to both sides of the equal sign
Step-by-step explanation:
the answer will be p=9
Find the slope of the line through the points (-7, - 12) and (1, -16)
Answer:
y =
-1x/2 – 31/2
Step-by-step explanation:
1. Which is an equation of the line parallel to y =2x-7 and passes through
(-1, 3)?
Answer: The answer is y=2x+5
Answer:
(-3.5,-7)
Step-by-step explanation:
I don't know if this is right or not but in that equation you have to first find what x is. so you would change the equation to look like 2x+y= -7. then you would write 2x+y×0= -7. then the equation would be 2x= -7 and then you would divide 2x÷2=x and -7÷2= -3.5. so for x it would be (-3.5,Y) no we have to figure out y.
so you would keep the equation as 2x+y= -7. and then would write 2x×0+y= -7. and then you would have the equation y= -7. so y= -7.
so if you fill in the spaces you get (-3.5,-7)
sorry if this is incorrect
3. What do you notice?
MULTIPLE CHOICE QUESTION
How to Write and Solve Proportions
Kerry swam 2,400 yards in 20 minutes. How many minutes
will it take her to swim 3,000 yards
12
How will we find this scale factor?
3000x20/2400-2
1) Set up a word ratio.
2) Fill in the proportion
3) Find the scale factor.
yards 24004 30000
20 min
2400/3000-2
Х
3000/2400=?
x/20=2
20/=?
Answer:
i think it will be #3
Step-by-step explanation:
if you can choose one scoop of ice cream and one topping, how many different sundaes can you make?
Answer:
I believe there is something wrong with ur question.
Solve absolute value equation 2|x-3|-8=2
Answer:
[tex]x=8, -2[/tex]
Step-by-step explanation:
[tex]2|x-3|-8=2[/tex]
[tex]2|x-3|=10[/tex]
[tex]|x-3|=5[/tex] [tex]|x-3|=-5[/tex]
[tex]x-3=5[/tex] [tex]x-3=-5[/tex]
[tex]x=8[/tex] [tex]x=-2[/tex]
For the figure, which of the following is true? I. m∠1+m∠2=m∠6+m∠5 II. m∠1+m∠3=m∠6+m∠4 III. m∠1+m∠3+m∠6=m∠2+m∠4+m∠5 A. I only B. I and II only C. II only D. II and III only https://homework.russianschool.com/resource?key=17115io81mkjh click on the link for the picture i'm so sorry if the link doesnt work plss help
Benjamin's age is 6 years less than twice Lucas's age. If Benjamin is 12 years old, how old is Lucas? Choose the answer below that is a viable solution to this problem
We can express Benjamin's age with x, we can express Luca's age as y.
x-6=2y
So, if x=12
2y=6
y=3
Therfore, Lucas is 3 years old
If you were to buy 3 1/8 pounds of ham from the deli counter, the digital scale would show
Answer:
3.125 pounds
Step-by-step explanation:
Digital scale would show weights in decimal form
3 1/8 = 3.125 pounds
7.2 - 1.4 plz show work. thank you
Answer:
5.8
Step-by-step explanation:
Find the midpoint of the segment with the given endpoints.
(0,0) and (6.-8)
Order 2/3, 2/9, 5/6, 11/18 from least to greatest.
Answer:
2/9, 2/3, 8/11, 5/6.
A contractor purchases ceramic tile to remodel a kitchen. Each tile costs $4, and the adhesive and grouting material costs $17.82. If the contractor is charged a total of $581.82, how many ceramic tiles did the contractor purchase?
Answer:
The answer is 145 ceramic tiles
Step-by-step explanation:
$4 Divided by $581.82 = 145.455
Miamor wanted to make note cards by cutting pieces of paper in half.
Before starting she got seven more pieces to use. When she was done she
had 28 half pieces of paper. With how many full pieces did she start?
Answer: 14 pieces
Step-by-step explanation:
Let the number of pieces of paper she had at first be x.
Before starting she got seven more pieces to use. This can be written as:
= x + 7
When she was done she had 28 half pieces of paper. This can then be written as:
x + 7 = (28 × 1/2)
x + 7 = 14
x = 14 - 7
x = 7
Since x = 7, she started with:
= x + 7
= 7 + 7
= 14 pieces
Solve the inequality.−8≤2/5(k−2)
The / is not a division sign.
Answer: x is grater or equal to -18
Inter el notation
[-18,oo)
Step-by-step explanation:
PLEASE ANWSER
POR FAVOR
Sorry the picture won't load for me I'm not sure if it's just my wifi.
Jody and Mark are using the spinners shown for a probability experiment. They spin the spinner on the left. If they spin a 2 and 3, then they spin the spinner on the right.
Answer:
it’s b
Step-by-step explanation:
WILL GIVE BRAINLIEST TO WHOEVER CAN DO ALL OF THE FOLLOWING:
-Write an equation of the line that passes through each pair of points.
-Say where the line that passes through both pair of points is located at
- Explain how you completed the question
Any answer that doesn't include these 3 things will get reported as incomplete
You have 5 hours after the question is posted to complete it.
GOOD LUCK!!!!
Answer:
y = x - 6y = -x + 5y = x - 5Step-by-step explanation:
Slope - intercept formula: y = mx + b, where m- slope, b- y-intercept
1. Points are:
(2, -4) and (4, -2)Slope is:
m = (y2 - y1)/(x2 - x1) m = (-2 - (-4))/(4 - 2) = 2/2 = 1y-intercept is - 6 as per graph
Then the formula is
y = x - 62. Points are:
(0,5 ) and (4, 1)Slope is:
m = (1 - 5)/(4 - 0) = -4/4 = -1y-intercept is 5 as per point
Then the formula is
y = -x + 53. Points are:
(-3, 1), (-1, -3)Slope is
m = (3 - 1)/(-1 -(-3)) = 2/2 = 1y-intercept is -5 as per graph
Then the formula is
y = x - 5(2x^4 + 3x^3 – 5x - 19)+(x^2 + 1)
Answer:
2x 4 +3x 3 +x 2 −5x−18
Step-by-step explanation:
1. Becky won $108,000 by coming in first place at a chess tournament, and she has the option of receiving 4 quarterly payments of $27,000, with the first payment in 3 months, or 1 lump-sum payment of $108,000 occurring in 12 months. Once she receives her money, she plans on putting it in a savings account paying simple interest at an annual interest rate of 8.8% calculated quarterly. Becky's financial adviser told her that she'll "lose" money if she takes the lump-sum payment, and Becky wants to calculate how much she’ll "lose". HELP !! I don’t understand ! please show work
Answer:
Step-by-step explanation:
From the information being provided;
We learnt that Becky pays simple interest at an annual interest rate of 8.8% which is calculated quarterly.
i.e. [tex]\dfrac{8.8\%}{4}= 2.2\%[/tex]
Since the first payment of $27,000 happened in the first three months, therefore, Becky will be able to have the money in the bank for 3 quarters prior to the lump-sum payment gets started.
Thus, the estimate of the amount Becky would earn as interest during this period of time is as follows:
[tex]I =\dfrac{PRT}{100}[/tex]
[tex]I =\dfrac{27000\times 2.2 \times 3}{100}[/tex]
[tex]I =\dfrac{178200}{100}[/tex]
I = $1,782
PLEASE ANSWER ASAP!! WILL MARK BRAINLYIST
Find the value of the following expression.
Answer: 25 I believe
Answer:
25
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
a^0 = 1 . . . for a≠0
__
[tex](2^8\cdot5^{-5}\cdot19^0)^{-2}\cdot\left(\dfrac{5^{-2}}{2^3}\right)^4\cdot2^{28}\\\\=2^{8(-2)-3(4)+28}\cdot5^{(-5)(-2)+(-2)(4)}=2^{-16-12+28}\cdot5^{10-8}\\\\=2^0\cdot5^2=\boxed{25}[/tex]
A new television set was recently purchased for the common room in a Residence Hall for $408.00 including tax. If the tax rate is 2% , find the price of the television set before taxes.
Answer:
399.84
Step-by-step explanation:
408.00 x .98 (2% reduction from 100) = 399.84
Question in picture. Will mark brainleist if correct.
Answer:
the answer is A
Step-by-step explanation:
Write 60/48 in simplest form
Answer:5/4
Step-by-step explanation:Thus, 5/4 is the simplified fraction for 60/48 by using the GCD or HCF method. Thus, 5/4 is the simplified fraction for 60/48 by using the prime factorization method.
Answer:
60/48 is simplest form is 1 3/12
i need help pleaseee❤️
Answer:
A"(2,11) B"(0,5) C" (4,3)
Step-by-step explanation:
Find The Value Of X.
Answer:
I think thats a obtuse angle so it should be 11