Answer:
The answer is below
Step-by-step explanation:
Calvin school is 2.3 miles directly south of his house. After school, he takes a bus 1.8 miles west of his school to the sport complex.
a) What is the length of a straight line between calvins house and the sports complex? Round to the nearest tenth.
b) Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.
Solution:
a) Calvin school, his house and the sport complex form a right angled triangle. The hypotenuse of the right angled triangle is the length of the line between Calvin's house and the sport complex. Let the length of the line between Calvin's house and the sport complex be x.
Using Pythagoras law for right angled triangle, we get that:
x² = 2.3² + 1.8²
x² = 8.53
x = √8.53
x = 2.9 miles to the nearest tenth
b) This forms a right angled triangle with the hypotenuse = length of a straight line between Calvin's house and the music school. one side of the triangle = 1.8 miles and the other side = 3.7 - 2.3 = 1.4 miles.
Let x = length of a straight line between Calvin's house and the music school. Hence:
x² = 1.8² + 1.4²
x² = 5.2
x = √5.2
x = 2.3 miles to the nearest tenth
A Cake mix contains sugar and flour. The mass of the sugar is 14 2/7% of the mass of the flour. What is the percent of flour in the cake mix ?
:D
Answer:
700/8% or 87.5%
Step-by-step explanation:
Answer:
700/8% or 87.5%
Step-by-step explanation:
Ur welcome
In a group of 20 students, 8 have brown eyes. What percent of the students have brown eyes?
Answer:
40%
Step-by-step explanation:
Solve for X
[tex]lnx^{2} =-2[/tex]
please show steps
I have the answer,
I just want to know how to do this :)
Answer:
[tex]x = \pm e^{-1}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving quadraticsMultiple rootsAlgebra II
LogarithmsEuler's number eStep-by-step explanation:
Step 1: Define
[tex]\displaystyle ln(x^2) = -2[/tex]
Step 2: Solve for x
Raise both sides by e: [tex]e^{\displaystyle ln(x^2)} = e^{-2}[/tex]Simplify equation: [tex]x^2 = e^{-2}[/tex]Square root both sides: [tex]x = \pm e^{-1}[/tex]Answer:
Step-by-step explanation:
lnx^n=nlnx
[tex]\ln x^2=-2\\2\ln x=-2\\\\\ln x=-1\\\\x>0\\x=e^{-1}\\or~x=\frac{1}{e}[/tex]
What is the y-intercept of the equation y=3/2x+6?
Answer:
(0, 6)
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = 3/2x + 6
Step 2: Break Function
Identify Parts
Slope m = 3/2
y-intercept b = 6
Please help me on this and thank you!
Answer:
D
Step-by-step explanation:
We open it up, so 2/3x + -3 + -2 -1/3x, -3 + (-2) = -5.
2/3x - 1/3x - 5, 2/3x - 1/3x = 1/3x
Our final answer is 1/3x - 5
Mrs. Femandez starts out with $255 in her checking account. She deposits $35 on Monday. Tuesday afternoon she
writes a check for $75
Which expression could be used to find Mrs. Femandez's new account balance?
Answer:
255+35-75
Step-by-step explanation:
Since we are trying to find the account balance, we consider anything in or going to the account to be positive.
255 is positive since it is in the account
35 is positive since it is going into the account
75 is negative because it is going out of the account
so the final expression to express the amount is the checking account would be 255+35-75
What is the initial value of the function represented by this graph?
Answer:
We conclude that the initial value of the function is 6.
Hence, option D is correct.
Step-by-step explanation:
The initial value of the function can be determined by setting x = 0 and determining the corresponding y value.
In other words, the initial value is basically the y-intercept of the graph.
It is the output value when the input value x = 0.
Given the graph, it is clear that:
at x = 0, y = 6
Thus, at x = 0, the value of y is 6.
i.e. the y-intercept b = 6.
Therefore, we conclude that the initial value of the function is 6.
Hence, option D is correct.
Answer:
6
Step-by-step explanation:
The initial value is the y-intercept or where the line crosses the y axis.
Posted this question 1000times plz some answer, thank you guys, plz show all the working
Answer:
it may be helpful to you.
Step-by-step explanation:
1) Alex bought some chips and pop for his class party. He bought a total of
32 items. Each bag of chips cost $0.75 and each bottle of pop cost $2.19.
He spent a total of $39.84. How many bags of chips and how many bottles
of pop did he buy?
Answer:
21 bags of chips and 11 bottles of pop
Step-by-step explanation:
(0.75 × 21)+(2.19 × 11) = $39.84
Answer:
18
Step-by-step explanation:
Divide the 39.84 to 2.19 because the question was find how much pop bought
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!!!!!
Answer:
a. $73.75b. 57 ridesStep-by-step explanation:
a.
Initial value of the pass is $100
From the difference in values we can see the cost of one ride is $1.75
The formula:
P(r) = 100 - 1.75r, P- the value of the pass, r- the number of ridesValue of the pass after 15 rides:
P(15) = 100 - 1.75*15 = 73.75b.
Number of possible rides:
0 = 100 - 1.75r1.75r = 100r = 100/1.75r = 57 (rounded to the whole number)4/-2 flipped over the x axis
Answer:
I suppose that here we have:
"(4, - 2) flipped over the x-axis"
Regardless of that, i will answer this in a kind of general way.
When we have a point (x, y) and we do a reflection over the x-axis (or the line y = 0, is the same) the reflected point will be (x, - y)
If we instead had a reflection over the y-axis (or the line x = 0) the reflected point will be (-x, y)
Then if we have the point (4, -2) and we have a reflection over the x-axis, the sign of the y-component needs to change.
Then the reflected point will be (4, -(-2)) = (4, 2)
how to do area for this problem
the answer is 568 in in degrees tysm
Im solving variables 31 = 3 (y+7) - 8y
Answer:
y = -2
Step-by-step explanation:
31 = 3 (y+7) - 8y
31 = 3y +21 - 8y
31 = -5y +21
10 = -5y
-2 = y
simplify the following expression by combining like terms
4x + x
Answer:
5x
Step-by-step explanation:
4x plus 1x equals 5x.
Hope this helped, have a nice day! :)
Answer:
5x
Step-by-step explanation:
4x+1x
=x+x+x+x+x
A telephone company charges its customers per minute to make long-distance calls. The cost, c, can be represented by c = .12m where m is the number of minutes. Which type of number is most reasonable for the domain of the situation?
Answer:
m ≥ 0
Step-by-step explanation:
Since the cost is represented by c = 0.12m, the domain should be a positive number, this is because number of minutes can't be written in negative. Therefore, the most reasonable number for the domain would be the set of positive whole numbers which means, m≥0.
Who can answer this ??
Answer:
I believe the answer is B. nonlinear
Step-by-step explanation:
Round each number to the nearest hundred and then estimate the answer.
then
349 + 1,978
2,300
2,400
2,500
2,200
Answer:
300 + 2,000 = 2,300
Step-by-step explanation:
349 = 300
1,978 = 2,000
because the 4 is less than 5 and any number greater than 5 is rounded up and any number less than 5 is rounded down
help me read the instructions answer number 2 help me
Answer:
3. See explanation
2. [tex]\displaystyle Yes[/tex]
1. [tex]\displaystyle [2, 1][/tex]
Step-by-step explanation:
3. Substitution, Elimination, and Graphing are ALL three methods to solve a system of equations, whether they are in three variables or two. The only differense is that with graphing, you will easily spot when a system is dependent [Infinitive Solutions], inconsistent [no solution], and\or consistent [one solution]. With elimination, you want to eliminate one set of variables [set to zero] so that it will be alot simpler solving the system, then latre on, substitute whatever value solved for the remaining set of variables back into the system to solve for the eliminated variable. Finally, with substitution, all you have to do is choose which variable you want to solve for in all three equations, or two. It really does not matter which one, as long as you follow the proper universal concept in using the Order of Operations.
2. This is self-explanatory really. The only time you cannot use any method is when the linear equations form parallel lines. Otherwise, you will always have one or infinite solutions.
1. See above imagery
I am joyous to assist you at any time.
What is the value of x?
Answer:
answer is 6............
Please help if you can :)
(98 ÷ 14 + x - 9/ 24) × 40 = 480
(the slash is a fraction of x-9 over 24)
hi! im chimken and i have your answers!
x = 43/8
( 98 ÷ 14 + x - 9 / 24 ) • 40 = 480
( 7 + x - 9 / 24 ) • 40 = 480
( 53 / 8 + x ) • 40 = 480
265 + 40x = 480
40x = 480 - 265
40x = 215
x = 43 / 8
i hope this helped! have a good day! :)
praise bingus!
Answer: x = 43/8
HOPE THIS HELPS
A committee must be formed with 5 teachers and 4 students. If there are 6 teachers to choose from, and 15 students, how many different ways could the committee be mad?
Answer:
8190 ways
Step-by-step explanation:
Given
[tex]Teachers = 6[/tex]
[tex]Students = 15[/tex]
Selection
[tex]Students = 4[/tex]
[tex]Teachers = 5[/tex]
Required
Number of ways of selection
4 students can be selected from 15 students in:
[tex]Students= ^{15}C_4[/tex]
Similarly.
5 teachers can be selected from 6 teachers in:
[tex]Teachers= ^{6}C_5[/tex]
So, the required number of selection is:
[tex]Selection = ^{15}C_4 * ^6C_5[/tex]
Apply combination formula:
[tex]Selection = \frac{15!}{(15-4)!4!} * \frac{6!}{(6-5)!5!}[/tex]
[tex]Selection = \frac{15!}{11!4!} * \frac{6!}{1!5!}[/tex]
[tex]Selection = \frac{15*14*13*12*11!}{11!*4*3*2*1} * \frac{6*5!}{1*5!}[/tex]
[tex]Selection = \frac{15*14*13*12}{4*3*2*1} * \frac{6}{1}[/tex]
[tex]Selection = \frac{32760}{24} * 6[/tex]
[tex]Selection = 1365 * 6[/tex]
[tex]Selection = 8190[/tex]
Yea I don't know this app But I heard people leaked my phone number and calling and someone saying I'm a actor yes... Please stop it it's annoying and I'm only 13
Answer: Hmm I don't know that you're an actor and hey u can report them if they leaked your phone number
Step-by-step explanation:
Answer:
Yes. I heard, but I don't know know who are you. Don't worry I will keep an eye out.
Step-by-step explanation:
solve for x please. this if for geometry
Answer: 76
Step-by-step explanation: 104 + 76 = 180
pls help I don't get this
Answer:
yeah same
Step-by-step explanation:
Answer:
The first and fourth answer.
Step-by-step explanation:
There are eight fluid ounces in one cup. One cup has eight fluid ounces.
The original price of last year's gaming system was $699. It is now selling at a 19% discounted price. What is the sale price?
Answer:
$566.19
Step-by-step explanation:
If there is a 19% discount, the product is selling at 100-19=81% of the original price. Multiply and you get- 699*(81/100)=566.19 :)
The length of a rectangular cement patio is 3 feet less than three times the width. The sum of the length and width of the patio is 21 feet. Find the length of the patio.
Answer: The length is 15 feet.
Step-by-step explanation:
L = 3w - 3 (length is 3 feet less than three times the width)21 = w + (3w -3)21 = 4w - 3 (add like terms)24 = 4w (substract 3 from both sides)6 = w <-- widthBut, the problem is asking for the length...
L = 3w - 3L = 3(6) - 3L = 18 - 3L = 15 ftExplain how to solve 2(x-1)=-200
I attached the answer below. Please take a look. You're welcome.
Carlos drove to the train station and back. The trip there took five hours and the trip back took four hours. What was Carlos' average speed on the trip there if he averaged 68 mph on the return trip?
Answer: 54.4 mph
Step-by-step explanation:
First find the distance to the train station. If it took Carlos 4 hours to come back driving at 68 mph, the distance is:
= Speed * time
= 68 * 4
= 272 miles
This means that Carlos drove for 5 hours to cover 272 miles the first time. His average speed was therefore:
= Distance / time
= 272/5
= 54.4 mph
The sum of two numbers is 8. The difference between the two numbers is 2. What are the numbers? x + y = 8 x - y = 2 *Use the tables to list the possibilities
Answer:
x=5 y=3
Step-by-step explanation:
x+y=8 1
x-y=2 2
x+y=8
y=8-x
substitute into 2
x-(8-x)=2
x-8+x=2
2x=10
x=5
substitute x into 1
5+y=8
y=3
5+3=8
5-3=2
(-6.5)
( 7, 5)
What is the slope
Answer:
m = 0
Step-by-step explanation:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-5}{7+6}=\frac{0}{13} =0[/tex]
Hope this helps