Answer:
what specifically are you asking how you would justify? Are you asking how to justify the original equation? If so, how much you spend + your new balance = original balance. Consider if you spent x dollars, your new balance is 10 dollars and your original balance was 15 dollars. Then x + 10 = 15 which means you spent x= 15 - 10 = 5 dollars. With this problem he spent 35 dollars per game so the total he spent is 35x. Since his new balance is 45 and his original balance was 150, then 35x + 45 = 150
Step-by-step explanation:
Lisa has 5 Pink, 3 Red and 12 Blue balls. What is the probability of randomly picking up a Red or Pink ball?
PLEASE HELP ME PLEASEEEEEEEEEEEEEE
Find the height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 feet.
1) 6 feet
2) 16 feet
3) 12 feet
4) 4 feet
Step-by-step explanation:
Volume of square pyramid
= (Base length)² * (Height/3).
Therefore we have 8 = 2² * (h/3).
=> 8 = 4 * (h/3), h/3 = 2, h = 6.
Hence the height is 6 feet. (1)
At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1246 with a standard deviation of 42 years. The distribution of dates was more or less mound-shaped and symmetric about the mean. Use the empirical rule to estimate the following:
a. a range of years centered about the mean in which about 68% of the data (tree-ring dates) will be found between _______and _____ A.D.
b. a range of years centered about the mean in Which about Of the data (tree-ring dates) will be found between______ and ________ A.D.
c. a range of years centered about the mean in Which almost all the data (tree-ring dates) Will be found between_____ and A.D.
Answer:
(1204 ; 1288) ;
(1162 ; 1330) ;
(1120 ; 1372)
Step-by-step explanation:
Given that:
Mean, m = 1246 years
Standard deviation, s = 42 years
68% is within one standard deviation the mean ;
Therefore 68% equals ;
mean ± 1(standard deviation)
(1246 - 1(42)) ; (1246 + 1(42))
1204 ; 1288
B) b. a range of years centered 95% about the mean in Which about Of the data (tree-ring dates) will be found between______ and ________ A.D.
95% is within two standard deviation of the mean ;
Therefore 95% equals ;
mean ± 2(standard deviation)
(1246 - 2(42)) ; (1246 + 2(42)
(1246 - 84) ; (1246 + 84)
(1162 ; 1330)
c. a range of years centered about the mean in Which almost all the data (tree-ring dates) Will be found between_____ and A.D.
About 99.7% which is within 3 standard deviations of the mean
99.7% is within 3 standard deviations of the mean ;
Therefore ;
mean ± 3(standard deviation)
(1246 - 3(42)) ; (1246 + 3(42))
(1120 ; 1372)
34 1/3% of animals at the shelter are dogs. About what fraction of the animals are dogs?
Answer:
Step-by-step explanation:
34%=34100
=0.34
=0.341×100100
=34/100
=17/50
Need help #2. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Answer:
please refer to the above attachment
(D) is the right answer.B is the midpoint of ACand E is the midpoint of BD. If A(-9, -4), C(-1, 6), and E(-4, -3), find
the coordinates of D.
Answer:
[tex]Solution,\\Midpoint of coordinates (a ,b) and (c,d) is given by:\\(x,y) = (\frac{a+b}{2} , \frac{c+d}{2}) \\Therefore, coordinate of B is\\(\frac{-9-1}{2},\frac{-4+6}{2}) = (\frac{-8}{2},\frac{2}{2}) = (-4 , 1)[/tex]
[tex]Similarly,\\E(4, -3) = (\frac{-4+x}{2},\frac{1+y}{2}) where, (x,y) are the coordinates of D\\or, 4=\frac{x-4}{2} and -3 = \frac{y+1}{2}\\or, 8 = x - 4 and -6 = y+1\\or, x= 12 and y = -5\\Therefore, the coordinates of D are (12,-5)[/tex]
Find the area of the figure. Assume all measurements are centimeters.
Answer:
The total area of the figure is 68.5 square centimeters.
Step-by-step explanation:
To calculate the total area, we must concieve it by the sum of areas of smaller triangles and rectangles. We present our strategy in the image attached below:
[tex]A = A_{1}+A_{2}+A_{3}+A_{4}+A_{5}[/tex] (1)
Where all areas are measured in square centimeters.
Please notice that [tex]A_{2}[/tex], [tex]A_{3}[/tex] and [tex]A_{5}[/tex] are triangles and [tex]A_{1}[/tex] and [tex]A_{4}[/tex] are rectangles.
The resulting area is calculated below:
[tex]A = (1)\cdot (2) + \frac{1}{2}\cdot (2)^{2} +\frac{1}{2}\cdot (3)\cdot (7)+(9)\cdot (5)+\frac{1}{2}\cdot (2)\cdot (9)[/tex]
[tex]A = 68.5\,cm^{2}[/tex]
The total area of the figure is 68.5 square centimeters.
I need help with this question from my daughters 1st grade math class. I believe the answer should be 12 but the teacher says the answer should be 6. How is the answer 6?
Mackenzie picks some apples.
She eats 3 apples.
Now she has 9 apples.
How many apples did Mackenzie pick to start?
A. 3 apples
B. 6 apples
C. 9 apples
D. 12 apples
Answer:
d.12
Step-by-step explanation:
its saying she ate 3 an now has 9. so you really add 3 to 9 an your answer is 12. in other words x=9+3 for your level of math. i'll be glad to help her with her home work for now if you would like me to.
Answer: Option D 12 apples
Step-by-step explanation:
SOOOO
She ate 3 apples and after that, she left with the 9 apples
They asked how many did Mackenzie pick.
SO its past tense
we have to add 3 apples that she just ate
so 9+3= 12 apples
I think your teacher is wrong because I think your teacher thought that she had 9 apples actually she has 9 apples after she just ate. So if it was before she has eaten the apples then it would be 6
Tell the teacher that she/he is wrong and give this explanation
I hope this helps you and your teacher
What is the slope of the line through (2, 10) and (-2, 17)?
what is the answer to this problem? If there are 90 calories in Three-fourths cup of yogurt, how many calories are in 3 cups of yogurt?
A. 30 calories
B. 202 calories
C. 270 calories
D. 360 calories
Answer: C
Step-by-step explanation:
Help plssss with my exit ticket
Answer: 200.96 ft^2
Step-by-step explanation:
area of circle = (3.14 (pi))r^2
Radius is 6 (16 (the diameter)/2 = 8)
Answer:
Answer is H 200.96 :) Have a Happy Thursday!!
if x+y = 1, and x^2 + y^2 = -1, what is x^7 + y^13?
1) 0
2) 1
3) -2
4) 2
5) -1
Solve for x and y :
x + y = 1 → y = 1 - x
x ² + y ² = -1
x ² + (1 - x)² = -1
x ² + (1 - 2x + x ²) = -1
2x ² - 2x + 1 = -1
2x ² - 2x + 2 = 0
x ² - x + 1 = 0
x ² - x + 1/4 = -3/4
(x - 1/2)² = -3/4
x - 1/2 = ±√(-3/4)
x - 1/2 = ±√3/2 i
x = 1/2 ± √3/2 i → x = exp(± iπ/3)
y = 1 - (1/2 ± √3/2 i ) → y = -1/2 ± √3/2 i → y = exp(± 2iπ/3)
Then
x ⁷ + y ¹³ = exp(± 7iπ/3) + exp(± 26iπ/3)
… = exp(± iπ/3) + exp(± 2iπ/3)
since 7π/3 is equivalent to π/3, and 26π/3 is equivalent to 2π/3 (both modulo 2π).
In either case, we get
x ⁷ + y ¹³ = x + y = 1
so the answer is (2) 1.
Jane drove 693 miles in 11 hours.
At the same rate, how long would it take her to drive 411 miles?
Answer:
approx. 6.523809523809524 hours
Step-by-step explanation:
Let us first find how long it takes Jane to drive 1 mile.
11/693 = approx. 0.015873015873016 hours to drive one mile.
She drives 411 miles, so we can multiply that by 411:
0.015873015873016 * 411 = approx. 6.523809523809524 hours
I hope this helps! :)
Answer:
6.52 hours
Step-by-step explanation:
693 miles divided by 11 hours = 63 miles per hour.
411 miles divided by 63 miles = 6.52380952 miles
Round to 2 decimal places: 6.52 hours
HELP PLS ASAP 25 POINTS YOU CAN SAVE MY GRADE PLS
Evaluate the expression below when x = 5.
3x(2x - 7)
A.) 0
B.) 24
C.) 45
D.) 143
Answer:
C.) 45
Step-by-step explanation:
3x(2x - 7)
3 * 5 (2 * 5 - 7)
15 * (10 - 7)
15 * 3
45
Hope this helps :)
In one online store, 12% of the orders are placed by new customers. Let N be the number of orders
placed in a day to reach the store's first new customer. Assume each order's customer status is
independent
Find the mean and standard deviation of N.
Round your answers to one decimal place.
Mean:
orders
Standard deviation:
orders
Answer:
Mean= 8.3
Standard deviation=7.8
Step-by-step explanation:
If (x + 1)(x - 5) = -9, then which of the following statements is true?
A x+1=0 or x-5=0
B x+1=9 or x-5=-9
C x-2=0
Answer:
B, although i believe that you wrote wrong, it should be x+1= -9, instead of positive 9
Step-by-step explanation:
Consumer Reports will have an article comparing refrigerators in the next issue. Some of the characteristics to be included in the report are the brand name and model; whether it has a top freezer, bottom freezer, or side-by-side layout; the estimated energy consumption per year (kilowatts); whether or not it is Energy Star compliant; the width, depth, and height in inches; and both the freezer and refrigerator net capacity, in cubic feet. What variables are categorical, and which are quantitative?
Answer:
brand name and model - - > CATEGORICAL
whether it has a top freezer, bottom freezer, or side-by-side LAYOUT - - > CATEGORICAL
the estimated energy consumption per year (kilowatts); - - - > QUANTITATIVE
whether or not it is Energy Star COMPLIANT - - > CAREGORICAL
the width, depth, and height in INCHES - - - > QUANTITATIVE
both the freezer and refrigerator net capacity, in cubic FEET - - - > QUANTITATIVE
Step-by-step explanation:
Given the following refrigerator characteristics :
brand name and model - - > CATEGORICAL
whether it has a top freezer, bottom freezer, or side-by-side LAYOUT - - > CATEGORICAL
the estimated energy consumption per year (kilowatts); - - - > QUANTITATIVE
whether or not it is Energy Star COMPLIANT - - > CAREGORICAL
the width, depth, and height in INCHES - - - > QUANTITATIVE
both the freezer and refrigerator net capacity, in cubic FEET - - - > QUANTITATIVE
To start with ; Categorical and quantitative variables differ most notably in the fact that, quantitative variables deals with numbers, measurements or calculated mathematical values of certain attribute in a measured species or sample. Categorical variable on the other hand mostly deals with making distinctions in properties of a sample by grouping the varibale into the different available categories based on their attributes.
halona walks 1.93 kilometers in 23 minutes, assuming constant speed write a proportion that represents how many kilometers in x minutes
Simplify-2(4x-6)+3(8x+2)
Answer:
-8x +12 + 24x +6 = 0
16x + 18 =0
16x = -18
x = - 18/16 = - 1.125
Square ABCD is shown in the xy-coordinate plane. The square will be
dilated with the center O by a scale factor of 2 to create square A'B'C'D'.
Which statements are true?
Select all that apply.
BC ||B'C'
AC=A'C'
AD_CD
Point D' has the same coordinates as point C.
Point C' lies on the line containing points 0 and C.
9514 1404 393
Answer:
A, C, D, E
Step-by-step explanation:
Dilation does not change angles or directions. Every image point X' lies on the line containing the center of dilation and the pre-image point X. If the scale factor is other than 1, no image segment will be congruent to its pre-image segment. So, the following are true:
BC║B'C'AC ⊥ line C'D'D' and C have the same coordinatesC' lies on line OCplease send answers
Answer:
multiple 10.5x10.5 and then 7x7 and then add both answer s
Step-by-step explanation:
Answer is explained above
Can any of you plz answer? (math)
Use the Distributive Property to find 13×612.
Answer:
(612 x 10) + (612 x 3) = 6120 + 1836= 7956
Step-by-step explanation:
Question One
There are three forward players, two defensemen, and one goalie on a hockey team. What is the ratio, in simplest form, of
defensemen to the total number on a team?
A
1:6
B
1:3
С
2:1
D
3:1
Answer:
a 1.6
Step-by-step explanation:
i am a sports center worker
Someone please help! I’m willing to pay for someone to help me with my five problems!
Answer:
28
Step-by-step explanation:
Since the line is perpendicular to the line coming out of the middle of the circle, both sides are going to be the same. So 14 + 14 =28
If you need more help, you can comment! :)
Suppose that a chemist is mixing two acid solutions, one of 15% concentration and the other of 25% concentration. Which of the following concentrations could not be obtained?
Choose the correct answer below.
Answer: d. 29%
Step-by-step explanation:
The mixture of the two concentrations should equal a concentration that is between the concentration percentages of the two solutions.
This is because the lower concentration percentage will pull the higher one down while the higher concentration will pull the lower one up. It will not be possible to get a mixture concentration that is lower than the lower concentrated acid or higher than the higher concentration acid.
Mixture concentration must be between 15% and 25%.
Option D at 29% is therefore not possible.
If 3 oranges cost $1.75, how much would 18 oranges cost?
Answer:
31.5 i think
Step-by-step explanation:i used multi if its wrong im so sorry
Answer:
10.50$
Step-by-step explanation:
if you divide the cost of 3 oranges by 1 orange you get one oranges price then multiply it by 18.
20 over 35 equals 110 over b
Answer:
[tex]b=192.5[/tex]
Step-by-step explanation:
We can set up the following proportion:
[tex]\frac{20}{35}=\frac{110}{b}[/tex].
Cross-multiply to solve for [tex]b[/tex]:
[tex]20b=110\cdot 35,\\b=\frac{110\cdot35}{20}=\fbox{$192.5$}[/tex].
A swimming pool and deck are built in a rectangle with length 40 ft and width 18 ft. If the pool itself is
320 square feet, what is the area of the deck itself?
A. 320 square feet
B. 400 square feet
C. 480 square feet
D. 560 square feet
