Answer:
-0.5
Step-by-step explanation:
z-score = (x- mean)/SD
(145-155)/20 = -10/20 = -0.5
Answer:
Step-by-step explanation:
z=\frac{x-\mu}{\sigma}
z=
σ
x−μ
z-score formula
z=\frac{155-190}{20}
z=
20
155−190
Plug in values
z=\frac{-35}{20}
z=
20
−35
Subtract
z=-1.75
z=−1.75
Divide
\text{They scored 1.75 standard deviations below the mean.}
They scored 1.75 standard deviations below the mean.
SERIOUS MATH HELP PLEAZE
SHOW WORK OR AN EXPLANATION
HELPPPPPPPPPPPP
Answer:
It's B.
Step-by-step explanation:
Z=-3, z=6
please help will mark brainly
Answer:
1 hour and 5 minutes
Step-by-step explanation:
Because Sam started cycling at 2:40 and he stopped cycling at 3:45 so cycled for 1 hour and 5 minutes its asking for total time cycling so its 1 hour and 5 minutes
The area of a rectangular baking sheet is 25 square inches. The base of the sheet is 10 inches. What is the height?
2 and one-half in.
3 in.
3 and one-half in.
250 in.
Answer:
2 1/2
Step-by-step explanation:
take 25 and divide it by 10 giving you 5/2 but that equals 2.5 and 2.5 equals 2 1/2
Miguel spends $100 on books, five of which are hardcover and the remaining four are paperback. The prices at the bookstore are based on whether the book is hardcover or paperback. It charges $2 less for paperback books than for hardcover books. What is the price for hardcover books?
Answer:
$10
Step-by-step explanation:
The hardcover books are $12 each which would be $60 out of the $100. There are four more paperbacks meaning they would be $10 each and cost $40 total.
I hope this helped!!! :)
The price of hardcover book is $12.Identity equations and conditional equations are the two types of equations. All possible values of the variables result in an identity.
What is Mathematical Equation?Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. An equation is created by joining two expressions with the equals sign ("=").
An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.as in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. In this article, let's learn more about math equations.
Given ,
We suggest a set of equations for this situation:
Let a be the variable for the price of hardback books.
B: Make the variable for the price of paperback books.
The statement information we have indicates:
[tex]5a+4b=100[/tex]
[tex]b=a-b[/tex]
Adding the second equation to the first one results in:
[tex]5a+4(a-2)= 100\\5a+4 a- 8= 100\\9a =100+8\\9 a=108\\a=108/9\\a=12[/tex]
Consequently, hardcover books are $12.
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What's the mean of 3 4 5 3 4 5 6 7 1 2 3 4 5 6 4 8 4 3 2
A. 4.1
B.4.2
C.8.0
D.8.3
Answer:
A. 4.1
Step-by-step explanation:
3+4+ 5+ 3+ 4+ 5+ 6+ 7+ 1+ 2+ 3+ 4+ 5+ 6+ 4+ 8+ 4+ 3+ 2= 79
79/ 19 = 4.1
2.) The equation yˆ=−8.74x2+50.57x+39.02 models the number of customers in a store x hours after opening.
Q 2 Options -Which number is the best estimate for the number of customers in the store 3 hours after opening?
A. 86
B. 47
C. 105
D. 112
3.The table shows the number of mobile cellular subscriptions per 100 people in Australia for different years.
Year 1993 1995 1997 1999 2001 2003 2005 2007 2009 2011
Cellular subscriptions / 100 people 4 12 25 33 57 72 90 101 101 108
The quadratic regression equation using the years since 1990 for the input variable and the number of cellular subscriptions for the output variable is yˆ=−0.107x2+9.008x−28.851.
What is the predicted number of cellular subscriptions per 100 people in Australia in 2030?
Round your answer to the nearest whole number. Enter your answer in the box.
4. Determine the equation of the quadratic regression curve for the data.
x 0 1 2 3 4 5 6
y 4.1 −0.9 −3.9 −5.1 −4.1 −1.1 4.1
Enter your answer in the box
5.The table shows the average number of miles traveled per person in the United States for different years.
Year 1915 1925 1935 1945 1955 1965 1975 1985 1995 2005
Average miles traveled per person 194 1056 1796 1788 3650 4569 6147 7460 9099 10,181
Find the quadratic regression equation using the years since 1900 for the input variable and the average number of miles for the output variable. Round each coefficient in the equation to the nearest thousandth.
Using the regression equation with rounded values, what is the best estimate for the average number of miles traveled per person in 1961?
Question 5 options:
A. 4324
B. 1885
C. 4191
D. 2398
Answer:
2. The correct option is;
D. 112
3. The predicted number of cellular subscription per 100 people in Australia in 2030 is 217 subscriptions
4. The equation of the quadratic regression curve is y = x² - 6×x + 4.1
5. The closest option is;
C. 4191
Step-by-step explanation:
2. The equation for the number of customers in a store is presented as follows;
y = -8.74·x² + 50.57·x + 39.02
Where:
x = Number of hours after opening
∴ When x = 3 hours
y = -8.74×3² + 50.57×3 + 39.02 = 112.07 ≈ 112 people
The correct option is D. 112
3. The expression of the regression equation is presented as follows
y = -0.107·x² + 9.008·x +28.851
Where:
x = Number of years since 1990, hence
When x = 2030 - 1990 = 40 Years
Hence, the predicted number of cellular subscriptions per people in 2030 is presented as follows;
y = -0.107×40² + 9.008×40 +28.851 = 217.971 Subscribers
To round down to the nearest whole number as y = 217 subscribers
4. The general form of a quadratic equation is presented as follows;
y = a·x² + b·x + c
When x = 0, y = 4.1, therefore;
4.1 = a×0² + b×0 + c = c
∴ c = 4.1
When x = 1, y = -0.9, therefore;
-0.9 = a×(1)² + b×1 + c = c
-0.9 = a + b + 4.1
∴ a + b = -0.9 - 4.1 = -5.0
When x = 2, y = -3.9, therefore;
-3.9 = a×(2)² + b×2 + c = c
-3.9 = 4·a + 2·b + 4.1
∴ 4·a + 2·b = -3.9 - 4.1 = -8.0
Thus we have two equations;
a + b = -5.0..................(1) and
4·a + 2·b = -8.0 ..........(2)
Multiply equation (1) by 2 and subtract it from equation (2), we have
4·a + 2·b - 2×(a + b) = *8.0 - (2 ×-5.0)
∴ 2·a = 2
a = 1
From equation (1,) we have;
a + b = -5.0..................(1)
Therefore, where a = 1 we have, 1 + b = -5.0
Hence, b = -5.0 - 1 = -6.0
Therefore, the equation of the quadratic regression curve is presented as follows;
y = x² - 6×x + 4.1
5. The quadratic regression equation is found as follows;
The general form of a quadratic equation is presented as follows;
y = a·x² + b·x + c
When x = 55, y = 3650, therefore;
3650= a×55² + b×55+ c................(1)
When x = 65, y = 4569, therefore;
4569= a×65² + b×65+ c ...........(2)
When x = 75, y = 6147, therefore;
6147= a×75² + b×75+ c............(3)
Solving the system of equation;
3650= a×55² + b×55+ c................(1)
4569= a×65² + b×65+ c ...........(2)
6147= a×75² + b×75+ c............(3)
Subtracting equation (1) from (2), we obtain;
4569 - 3650 = a×65² + b×65 + c - (a×55² + b×55 + c)
919 = 1200·a + 10·b...........(4)
Subtracting equation (2) from (3), we obtain;
6147 - 4569 = a×75² + b×75 + c - (a×65² + b×65+ c)
Which gives;
1578 = 1400·a + 10·b...........(5)
Subtracting equation (4) from equation (3), we obtain;
1578 - 919 = 1400·a + 10·b - (1200·a + 10·b)
659 = 200·a
a = 659/200= 3.295
Substituting the value of a in equation (4), we have;
919 = 1200×3.295 + 10·b = 3954 + 10·b
∴ 10·b = 919 -3954 = -3035
b = -3035/10 = -303.5
Substituting the value of a and b in equation (1), we have;
3650 = (3.295)×55² + (-303.5)×55+ c
3650 = -6725.125 + c
∴ c = 3650 - (- 6725.125)= 10375.125
Therefore, the quadratic regression equation is presented as follows;
y = 3.295·x - 303.5·b +10375.125
Hence, in 1961, x = 1961 - 1900 = 61, we have
y = 3.295×61² - 303.5×61 10375.125= 4122.32
Therefore, the closest option is C. 4191.
Answer:
Step-by-step explanation: I took the test and here are the answers
Tennessee has a population of about 6,495,978. Its territory can be modeled as a trapezoid, as shown in the figure. Each unit on the coordinate grid represents one mile. Find the approximate population density of tennessee. Round to nearest whole number if necessary.
Answer:
The population density is 150 persons per square mile
Step-by-step explanation:
Firstly, we need to calculate the area of the trapezoid.
Mathematically, the area of a trapezoid is
(a+b)/2 * h
from the grid, we can obtain the lengths
on the x-axis , each line is 40(200/5 thin lines)
on the y-axis, each thin line also is 40(200/5 thin lines)
thus a = (8 * 40) = 320
b = (10* 40) = 400
h = (3 * 40) = 120
Inserting this into the area equation, we have the area of the trapezoid as (320 + 400)/2 * 120 = 43,200 units
since each unit = 1 mile, the area of Tennessee = 43,200 units
The population density is thus ; 6,495,978/43,200= which is approximately 150 persons per square mile
The population density is a number that gives the number of people located within the state.
[tex]\mathrm{The \ population \ density \ is \ approximately}\ \underline{150}\ \frac{persons}{mi.^2}[/tex]
Reasons:
The population of Tennessee = 6,495,978
The dimensions of the trapezoid model of the territory are;
Base length, a = 320
Base length, b = 400
Height of the trapezoid, h = 120
[tex]Area \ of \ the \ trapezoid = \mathbf{\dfrac{a + b}{2} \cdot h}[/tex]
Which gives;
[tex]Area \ of \ the \ trapezoidal \ territory = \mathbf{\dfrac{320 + 400}{2} \times 120 }= 43,200[/tex]
Area of the trapezoidal territory of the state = 43,200 mi²
[tex]The \ ratio \ of \ the \ population \ to \ the \ territory = \dfrac{6,495,978}{43,200} = 150.36986\overline 1[/tex]
Therefore;
[tex]The \ population \ density \approx \underline{150}\ \frac{persons}{mi.^2}[/tex]
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Express
as a unit rate.
Betty drives her car 150 km in 2 h. Explain
Answer:
75 km per hourStep-by-step explanation:
[tex]\frac{150km}{2hr}[/tex] divided by two is [tex]\frac{75km}{1hr}[/tex].
Can you please help me with this question please i will give you. a Brainiest
Answer:
q < 5
Step-by-step explanation:
What is the answer for 36=18x
Answer:
x=2
Step-by-step explanation:
36=18x
x=36/18
x=2
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
[tex]36 = 18x \\ divide \: both \: sides \: by \: 18\\ \\ 2 = x[/tex]
Helpp plsss!!!! I've to submit ASAP
100 POINTS!!!!!! the following stem and leaf plot shows the number of hours that mrs. dixon's students spent on their pre calc work last week. what is the mean absolute deviation for the data
Answer:
11.2467
Step-by-step explanation:
First we need to find the mean
Add up all the data and divide by number of points)
(6+7+8+10+12+13+14+17+17+17+18+19+21+23+24+24+25+27+31+31+32+36+36+39+41+45+45+46+49+50)/30
261/10
26.1
Then to find the mean absolute deviation take each value and find the absolute value from the mean and sum it and then divide by the number of points
((26.1 -6)+(26.1-7)+(26.1-8)+(26.1-10)+(26.1-12)+(26.1-13)+(26.1-14)+(26.1-17)+(26.1-17)+(26.1-17)+(26.1-18)+(26.1-19)+(26.1-21)+(26.1-23)+(26.1-24)+(26.1-24)+(26.1-25)+(27-26.1)+(31-26.1)+(31-26.1)+(32-26.1)+(36-26.1)+(36-26.1)+(39-26.1)+(41-26.1)+(45-26.1)+(45-26.1)+(46-26.1)+(49-26.1)+(50-26.1))/30
11.2467
Answer:
11 16/75
Step-by-step explanation:
Find the mean: sum/n
783/30
26.1
Find individual |x - 26.1| and add them:
|6-26.1| + |7-26.1| + ...... + |50-26.1|
= 20.1 + 19.1 + .... + 23.9
= 336.4
M.A.D = 336.4/30
11 16/75
Help with this question please!!
Answer:
Width = 160
Length = 110
Step-by-step explanation:
Perimeter is the sum of all the sides
They tell you that the length is 50 m shorter than the width
so L = W - 50
W = W
540 = W + W + W-50 + W-50
540 = 2W + 2(W-50)
540 = 2W + 2W - 100
540 = 4W - 100
640 = 4W
W = 160
L = 160 - 50
L = 110
Answer:
Length: 110 m
Width: 160 m
Step-by-step explanation:
The formula for perimeter of a rectangle is P = 2L + 2W.
We can write the length in terms of width if width is w:
Length: w - 50
Width: w
Plug the values into the formula.
540 = 2(w - 50) + 2w
540 = 2w - 100 + 2w
540 = 4w - 100
640 = 4w
w = 160
find length by subtracting 50 from the width
160-50=110
Therefore, the length is 110 and the width is 160.
Write an expression that
represents
the sum of r and 7.
Answer:
r + 7
Step-by-step explanation:
Sum means addition, so in this particular expression something is being added, and the two numbers given are r and 7. Therefore, the expression is r + 7.
Simplify the expression. Assume that all variables are positive. Exponents in simplified form should all be positive
Answer:
5
Step-by-step explanation:
We know that a^b^c = a^ (b*c)
1/25 ^(-2/3* 3/4)
1/25^ (-2/4)
1/25 ^ -1/2
Rewriting 1/25 as 5^-2
5^-2 ^-1/2
Again a^b^c = a^ (b*c)
5^(-2*-1/2)
5 ^ 1
5
there are 8 beech trees 4 oak trees 17 cedar trees and 11 other trees
what present of beech trees are there out of the 40
Answer:
1/5
Step-by-step explanation:
8 beech trees out of 40
8/40 = 1/5
Julio is doing an experiment in science class where he tests how high a ball bounces when it is dropped from 1 meter.
He tests several balls made of different materials and records the results. The results are shown below.
85 cm, 83 cm, 57 cm, 89 cm, 62 cm, 68 cm, 91 cm, 22 cm, 28 cm, 58 cm, 37 cm, 41 cm, 36 cm, 59 cm, 88 cm, 54 cm, 76 cm, 90 cm
Use the drop-down menus to explain how to choose the intervals for a frequency table to represent the data.
The data values have a spread of centimeters. Intervals with a range of centimeters are reasonable.
Gets THE BRANLIeST QUICKLY ANSWER AND I WILL GIVE YOU ALL MY POINTS!!!!!!!!!!!!!!!!ASAP
Answer: The data values have a range of 70 centimeters. Intervals with a range of 10-20 centimeters should be reasonable.
Answer:
it might be
69
10-20
someone help me with this question
Answer:
Step-by-step explanation:
a) Complete the table
Monday Tuesday Wednesday Total
Female 21-14=7 38-13-7= 18 13 38
Male 14 33-18= 15 26-13 =13 80-38=42
Total 80-33-26= 21 33 26 80
b) P(the student is a female) = 38/80= 0.475
c) P(the student visited the library on Tuesday) = 33/80= 0.4125
Answer:
a) Monday Total: 21.
Monday Female: 7.
Tuesday Female: 18.
Tuesday Male: 15
Wednesday Male: 13
Male Total: 42.
b) 47.5% probability that the student is a female.
Step-by-step explanation:
a) How to find Monday Total: We have the totals for Tuesday and Wednesday, and we know the total of all three days is 80. So, we need to find the difference between Tuesday + Wednesday & all 3 days, to find the total of Monday. What we do is add 33 + 26 which equals to 59. Then, we remove 59 from 80 (80-59). The answer we get is 21, which is the difference between the two. That's Monday's total.
How to find Male Wednesday: We already have Wednesday Female, and the total for Wednesday. But now we're finding the Wednesday Male. Find the difference between Wednesday Total and Female (26-13). The answer is 13! The Wednesday Male is therefore 13.
How to find Male Total: We have to find the difference between the complete total (80) and the Female total (38). Subtract: (80-38). The answer you get is 42!
How to find Tuesday Male: Now that we have the Wednesday Male, and the Male Total, we can easily find the Tuesday Male! The Male Total is 42, and we know the Male Monday is 14, along with the Male Wednesday being 13. Add Male Monday and Male Wednesday together. (13+14=27). Now take that and remove it from 42. (42-27). The answer we get is 15. 15 is our Tuesday Male.
How to find Monday Female: We already know what the Monday Total is from previous calculations(21), so all we have to do now is find the difference from the Monday Total and the Male Monday to find the Female Monday. Subtract: (21-14) The answer we will get is 7. The Monday female is 7.
How to find Tuesday Female: We already have Tuesday Male, and the Tuesday Total, so we subtract the Tuesday Male from the Tuesday Total. (33-15). The answer we get is 18.
b) The answer would be 47.5% because 38 is 47.5% of 80. How? Divide 38 by 80. The answer would be 0.475. Now, multiply that answer by 100. You get 47.5! That's the percentage.
This is my first question that I've answered, I'm sorry if there are any mistakes!
how to find the mean median and mode for (6, 5 ,6) ( 7 ,6 ) (6 ,7 ) (4 ,6 ) ( 7 ,7 ) ( 6 ,7 ) (7 ,7) ( 4 ,7)
Answer:
the answer is 7
Answer:
7
Step-by-step explanation:
Classify the number as natural, whole, integer, rational, and/or irrational.
Select all terms that are correct.
-25
Natural Whole Integer Rational Irrational
Answer:
integer and rational hth
Step-by-step explanation:
Which data display shows the number of observations? Check all that apply.
A bar graph titled Sibling Survey has number of siblings on the y-axis and number of students on the y-axis. 4 students have 0 siblings; 9 have 1; 5 have 2; 3 have 3; 2 have 4; 0 have 5; 1 has 6; 1 has 7.
A pie chart titled Sibling Survey. 1 sibling is the largest piece, then 2 siblings, then 0 siblings, followed by 3, 4, 6, and 7.
A bar graph titled Sibling Survey has number of siblings on the y-axis and number of students on the y-axis. 13 students have 0 to 1 sibling; 8 have 2 to 3; 2 have 4 to 5; 2 have 6 to 7.
A box-and-whisker plot. The number line goes from 0 to 8. The whiskers range from 0 to 7, and the box ranges from 1 to 3.
A dot plot goes from 0 to 7. 0 has 4 dots, 1 has 9 dots, 2 has 5 dots, 3 has 3 dots, 4 has 2 dots, 5 has 0 dots, 6 has 1 dot, and 7 has 1 dot.
Answer: A,C,E
Step-by-step explanation:
I took the test and got it right
Answer:
the is a, c, and e
Step-by-step explanation:
hope this helps
Someone please help me!!!
Answer: Answer is B
Step-by-step explanation:
Remeber that the shorter a container is doesn't mean it has less mass or volume. the width can mean it holds more. If the radius is twice as big that can mean the contents is more and your getting a better deal. hOpe this will help.
Find the area? Please help
Answer:
6.285
Step-by-step explanation:
π·22≈12.56637 divided by 2 (half) is 6.285
Answer:
12.56 units squared
Step-by-step explanation:
find the area of the whole circle:
formula for this is: pi multiplied by the radius which is squared.
The math for this is Below
3.14 x 2 squared
2 squared is 4
so 4 times 3.14 which is 12.56
Round your answer to the nearest hundredth..
B
?
5
2
A
С
Answer: m<B = 66.42
Step-by-step explanation:
Use cosine to find the missing angle.
Cosine = adjacent/hypotenuse
cos x = 2/5
since you know the side lengths and you’re finding the angle, use inverse cosine
cos -1 (2/5) = 66.4218215...
m<B = 66.42
Hey there!
We are looking for an angle. Whenever we want to look for an angle in a right triangle given two sides, we use inverse trigonometric functions. This is basically the inverse operation of the sine, cosine, and tangent. You could use it to undo any of these in an equation. If you said that the sine of x was equal to 1/2, you would do the inverse sine of 1/2 and get that x=30.
In our case, we see that the cosine of our angle is 2/5. How do we know that?
Well, we can remember the trigonometric functions using the mnemonic "soh cah toa"
SOH
Sine= Opposite/Hypotenuse
CAH
Cosine= Adjacent/Hypotenuse
TOA
Tangent= Opposite/Adjacent
If we look at the number values we have, we have 2 (the adjacent side to the angle) and 5 (the hypotenuse). This is adjacent over hypotenuse, which is the cosine. So, the cosine of our angle is 2/5.
Now, we can put this into an equation. I will call the measure of our mystery angle Θ (theta).
cosΘ= 2/5
We want to get the theta by itself to solve the equation. To do this, we have to use the inverse cosine on both sides of the equation to cancel out our cosine and figure out the value of theta. The inverse trig functions can be found on a calculator :)
cos[tex]^-1[/tex]cosΘ=cos[tex]^-1[/tex] 2/5
Θ ≈ 66.42
I hope that this helps! Now you will be able to find any angle given two sides of a right triangle! Have a wonderful day!
Tara and her parents want to save at least $40,000 for college in 8 years. Which statement describes the most effective savings plan for Tara and her parents to meet their goal?
Answer:
the answer is b
Step-by-step explanation:
Answer:
B on edgen 2020
Step-by-step explanation:
A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 1,519.76 square feet? Use 3.14 for Pie
Answer:
r = 22 ft the sprinkler sends water until 22 feet away
Step-by-step explanation:
A circular pattern has an area of 1,519,76 ft²
And the areaof a circle is:
A(c) = π*r²
A(c) = 3,14 * r² ⇒ 1,519,76 = 3,14 * r²
r² = 1,519,76/3,14 ⇒ r² = 484
r = √484
r = 22 ft
Answer:
22 ft
Step-by-step explanation:
The sprinkler is located in the middle of the circular pattern created by the sprinkler therefore the distance from the center to the end of the circular pattern is called the RADIUS
note:
area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]
1519.76 = 3.14 * [tex]r^{2}[/tex]
therefore [tex]r^{2}[/tex] = 1519.76 / 3.14 = 484
therefore radius ( r ) = [tex]\sqrt{484}[/tex] = 22 ft
The sprinkler is 22 feet away from the spread water
There is a tall tree in ivas backyard. She thinks it might hit her house if it fell over. She measures that the base of the tree is 50 feet from her house. When Iva stands at the edge of her house, the angle of elevation from her feet to the top of the tree is 50°. Ivas house is safe if the tree’s height is less than the distance from the house.
The height of the tree is ____ 50 feet, so ivas house is ________
Answer:
The height of the tree is Greater than 50 feet, so Iva’s house is not safe
Step-by-step explanation:
Find the height of the tree
Let
h ----> the height of the tree
we know that
The tangent of angle of 50 degrees is equal to divide the opposite side to the angle of 50 degrees (height of the tree) by the adjacent side to the angle of 50 degrees (tree’s distance from the house)
so
tan(50°)=h/50
h=(50)tan(50°)=59.6 ft
therefore
The height of the tree is Greater than 50 feet, so Iva’s house is not safe
A dvd movie originally cost $24.99. It’s current price is $19.99. What is the percent of change rounded to the nearest percent?
Answer:
I think it would be 20%.
Step-by-step explanation:
$5 was taken off the original price, which is about 1/5 of $24.99. So, since 1/5 as a percent is 20%, I think the answer would be 20%.
Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie. Adrian earned a total of $1010 in royalties on 14 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Adrian's songs were played.
Answer:
Step-by-step explanation:
Let number of songs are played in a commercial be a
number of songs are played in a movie be b
Adrian earned a total of $1010 -> a*40 + b*130 = 1010 (1)
14 commercials and movies -> a+b = 14 (2)
(1) - (2)*40 = a*40 + b*130 - a*40 -b*40 = 1010 -14*40
-> b*90 = 450
-> b = 5
-> a = 14-5 = 9
The system of equation should be used is 40a + 130b = 1010
And, a + b = 14
And, the number of commercials and the number of movies on which Adrian's songs were played is 9 and 5
The following information should be considered:
Let us assume the number of songs are played in a commercial be a and number of songs are played in a movie be bSo, the equations are
40a + 130b = 1010
a + b = 14
b = 14 - a
Now
40a + 130(14 - a) = 1010
40a + 1,820 - 130a = 1010
-90a = -810
a = 9
And, y = 14 -9
= 5
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Which is the best estimate for the liquid volume of a small carton of milk?
Answer:
Step-by-step explanation:
