Answer:
Amount charged for 35 miles is $ 38.75
If amount charged is $ 42.50 then distance travelled is 50 miles
Step-by-step explanation:
Equation that represents the cost is [tex]y=30+0.25x[/tex]
Here,
x denotes the number of miles
$ 30 is the amount of rent per week
$ 0.25 is amount charged for 1 mi
To find cost if distance travelled is 35 miles, put [tex]x=35[/tex] in [tex]y=30+0.25x[/tex]
Cost (y) = [tex]30+0.25(35)=\$38.75[/tex]
So,
Amount charged for 35 miles is $ 38.75
To find number of miles for which amount charged is $ 42.50, put [tex]y=42.50[/tex] in [tex]y=30+0.25x[/tex]
[tex]42.50=30+0.25x\\42.50-30=0.25x\\12.5=0.25x\\x=\frac{12.5}{0.25} \\x=50[/tex]
So,
if amount charged is $ 42.50 then distance travelled is 50 miles.
Abbie, Brad, Cindy, and Dan went bowling one night. For fun, they decided to team up the girl's against the boys, with the highest total score for the each team winning. Abbie scored 16 more than Brad. Cindy's score was 43 less than Dan's. Brad outscored Dan by 23. It the total scored by all four kids was 599, what was each person's score and what was the final score for the match?
Linear equation
A line with the slope of 1/2 pass through the point (3,-2)
a) Write the equation of the line in Point - Slope Form.
b) Write the equation of the line in Slope - intercept form.
Answer:
see explanation
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = [tex]\frac{1}{2}[/tex] and (a, b) = (3, - 2) , thus
y - (- 2) = [tex]\frac{1}{2}[/tex] (x - 3) , that is
y + 2 = [tex]\frac{1}{2}[/tex]( x - 3) ← in point- slope form
(b)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{1}{2}[/tex] , thus
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = [tex]\frac{3}{2}[/tex] + c ⇒ c = - 2 - [tex]\frac{3}{2}[/tex] = - [tex]\frac{7}{2}[/tex]
y = [tex]\frac{1}{2}[/tex] x - [tex]\frac{7}{2}[/tex] ← in slope- intercept form
There are roses in a vase of flowers. The rest are daisies. (a) What is the ratio of roses to daisies? (b) What is the ratio of daisies to all flowers in the vase?
Answer:
need more info how many roses are there and how many daises are there?
Step-by-step explanation:
the ratio of children to teachers at a preschool is 14:5. How many children are at the preschool if there are 30 teachers
Answer:
84
Step-by-step explanation:
5*6=30
14*6=84
If you need further explanation just tell me :D
volume of saturn: 827,130,000,000,000 km^3 = __×10^__km^3
Solve for t: 5t - 4 = 11
Answer:
t = 3
Step-by-step explanation:
5t - 4 = 11
5t - 4 + 4 = 11 + 4 (you do the plus 4 to get rid of the -4 and what you do to one side you have to do to the other.)
5t = 15
5t/5 = 15/5 (To get red of the 5 do reverse operation.)
1t = 3 simplified to
t = 3
Hope it helped (brainlyest pls) ;)
Answer:
3
Step-by-step explanation:
5t - 4 = 11
(5 x t) - 4 = 11
5 x 3 = 15
15 - 4 = 11
The school that Danielle goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 10 adult tickets and 13 student tickets for a total of $234. The school took in $97 on the second day by selling 5 adult tickets and 4 student tickets. What is the price each of one adult ticket and one student ticket?
Answer:
Price of Adult tickets =$ 13
Price of student tickets =$ 8
Step-by-step explanation:
Lets us represent the price of adult tickets = x
The price of student tickets = y
On the first day of ticket sales the school sold 10 adult tickets and 13 student tickets for a total of $234.
= 10 × x + 13 × y = $234
= 10x + 13 y = 234
The school took in $97 on the second day by selling 5 adult tickets and 4 student tickets.
5 × x + 4 × y = $97
= 5x + 4y = 97
Hence:
10x + 13y = 234......Equation 1
5x + 4y = 97......... Equation 2
We solve by elimination method
Multiply the equation 1 by 5 and equation 2 by 10 which are the coefficient of x
10x + 13y = 234......Equation 1 × 5
5x + 4y = 97......... Equation 2 × 10
50x + 65y = 1170......Equation 3
50x + 40y = 970..... Equation 4
Subtract Equation 4 from Equation 3
25y = 200
y = 200/25
y = 8
Therefore the price of student ticket = $8
Note that
5x + 4y = 97......... Equation 2
5x + 4 × 8 = 97
5x = 97 + 32
5x = 65
x = 65/5
x = 13
Therefore price of adult tickets = $13
A sprout in Jessie’s garden is 5 1/5 cm tall and is growing 1 3/10 cm each week. Write and solve an equation in order to determine how many weeks it will take for the plant to be 13 cm tall.
It will take 6 weeks for the sprout in Jessi's garden to grow 13 cm tall.
Given that,
A sprout in Jessie’s garden is 5 1/5 cm tall and is growing 1 3/10 cm each week. Write and solve equality in order to resolve how many weeks it will take for the plant to be 13 cm tall is to be determined.
In calculation, it deals with number of procedures according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let the number of weeks be x, the height after each week be y
According to the question,
y = 5 1 /5 + 1 3/10 x
y = 26 / 5 + 13 / 10x
Now,
y = 13
13 = 26 / 5 + 13 /10x
13/10x = 13 - 26 / 5
x = 39 × 10 / 5 × 13
x = 3 ×2
x = 6
Thus, it will take 6 weeks for the sprout in Jessi's garden to grow 13 cm tall.
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The table below shows the number of students who attend various after-school activities.
After-School Activities
Activity
Number of Students
Spanish Club
19
Basketball
24
Drama
15
Homework Help
17
Soccer
20
Which ratio compares the number of students in the Spanish club to the total number of students?
19:95
20:95
95:24
95:19
Answer:
A, 19:95
Step-by-step explanation:
there are 19 Spanish students and 95 total students
Answer:
A
Step-by-step explanation:
i got it right (: on edg
Mrs. Lee is putting a new fence around her square garden. The garden is 144
square feet. How much fencing will Mrs. Lee need to enclose the entire garden?
Jason says that 10 less than one third of his age is 11 years old. How old is Jason?
Answer:
63
Step-by-step explanation:
Jason age will be 63 years.
What is an expression?
Expression in math is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
The condition is given as;
'' Jason says that 10 less than one third of his age is 11 years old. ''
Now,
Let age of Jason = x years
Then, By the given condition we formulate;
1/3 x - 10 = 11
Solve for x as;
1/3 x - 10 = 11
Add 10 both side;
1/3 x - 10 + 10 = 11 + 10
1/3 x = 21
Multiply by 3;
x = 63
Thus, Jason age will be 63 years.
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answer as fast as possible
a.2
b.4
c.6
d.8
I need help with this question I wasn’t sure on what to pick as the answer.
Answer: 7 5/7 (the bottom one)
Step-by-step explanation:
30 divided by 2 = 15 (do the same to 42 and get 21)
This then creates the fraction: 15/21
Now, divide this fraction by 3 and get 5/7
Add back in the seven because you aren't dividing the whole number.
Your final answer is now 7 and 5/7 (together: 7 5/7)
0.123.09 + 0.098 + 1.25 + 57=Please answer
Answer:
58.561Step-by-step explanation:
The question is not properly formatted, here is a correct format
0.123+0.09 + 0.098 + 1.25 + 57
This is an addition problem, given the numbers to be added
0.123+0.09 + 0.098 + 1.25 + 57
58.561
the answer to the sum of the numbers 0.123+0.09 + 0.098 + 1.25 + 57 is
58.561
Answer:
58.561
Step-by-step explanation:
I did the test and got it correct.
hi i need help really bad
Answer: 7
Step-by-step explanation:
(3(2)-4)+(-(2)+7)
Triangle EFG has vertices E(-3, 1), F(1, 1), and G(4, 5). Find the coordinates of the image of point F
after a reflection across the x-axis.
O (1,1)
None of the other answers are correct
O (1,-1)
o (-1, -1)
O (-1,1)
Answer:
(1,-1)
Step-by-step explanation:
if its asking for a reflection on the x-axis, change the y's to the opposite of what it is.
Example, (5,6) change it to (5,-6)
its the same thing for the reflection on the y-axis
(7,-8) change it to (-7,-8)
Please help!!! :)))))
Answer:
An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle. ... A central angle is any angle whose vertex is located at the center of a circle.
Step-by-step explanation:
9. Inscribed
10. Central
11. Central
12. Inscribed
13. Central
14. Inscribed
Hope this helped! ; )
Answer:
Any angle with O as the vertex is a central angle. Any angle with any other letter in the center of the angle is inscribed.
Step-by-step explanation:
A=1/2h(a+b)
what is h
Answer:
[tex] h = \frac{2 A}{(a + b)}[/tex]
Step-by-step explanation:
[tex]A = \frac{1}{2} h(a + b) \\ \\2 A = h(a + b) \\ \\ \frac{2 A}{(a + b)} = h \\ \\ \huge \red{ \boxed{h = \frac{2 A}{(a + b)} }}[/tex]
what best describe the relationship between 1 and 2
Answer:
I think your correct
Step-by-step explanation:
the answer you picked looks like an image on my notes
sorry if its not
A line passes through the point (10,-8) and has a slope of negative 3/2Write an equation in slope-intercept form for this line.
Answer:
9383
Step-by-step explanation:
What’s the answer for 350÷10*3
approximate sqrt 12 to the nearest interger
Answer: 3 is the nearest integer.
Step-by-step explanation:
The square root of 12 is between 3 and 4
9 and 16 are perfect squares. Their roots are 3 & 4 respectively. 12 is about halfway between, so a good approximation would be 3 1/2, but the question asks for the nearest integer, not the nearest rational number.
dy
If y
-
2x+3
then
3x+29
dx
Answer:
[tex]y'=\frac{-5}{(3x+2)^2}[/tex]
Step-by-step explanation:
Step 1: Write equation
[tex]y=\frac{2x+3}{3x+2}[/tex]
Step 2: Find derivative
Quotient Rule: [tex]y'=\frac{(3x+2)(2)-(3)(2x+3)}{(3x+2)^2}[/tex]Simplify: [tex]y'=\frac{(6x+4)-(6x+9)}{(3x+2)^2}[/tex]Simplify: [tex]y'=\frac{-5}{(3x+2)^2}[/tex]If m\angle CED=101 then what is m\angle CEH∠CEH
Answer:
m∠CEH = 79°
Step-by-step explanation:
From the picture attached,
∠CED and ∠CEH are the pair of linear angles.
Since, pair of linear angles are supplementary angles.
m∠CED + m∠CEH = 180°
101° + m∠CEH = 180°
m∠CEH = 180° - 101°
= 79°
Therefore, measure of angle CEH is 79°.
PLEASE HELP SUPER IMPORTANT!!!! WILL GIVE BRAINLIEST!!!!!!
Answer:
i think it is d
Step-by-step explanation:
Answer:
Step-by-step explanation:
It is an algebraic expression because it contain VARIABLES.
I need help, please i'll try to give you the brainliest.
Answer:
6 times -3
Step-by-step explanation:
PEMDAS
perenthesis, exponents, multiplication, division, addition, subtraction
Answer:
-12 ÷6
-2×(-3)
6+8=14
Step-by-step explanation:
In a class of 200 students. 20 offered Physics, 90 offered Chemistry. Offered Mathematics while 24 did not offer any of the three subjects. Twenty three (23) students offered Physics and
Chemistry, 41 offered Chemistry and mathematics while 8 offered all three subjects.
Draw a Venn diagram to illustrate the information
Find the probability that a student selected at random from the class offered i.
Physics only ii.Exactly two of the subjects
Answer:
??????????????????????
Step-by-step explanation:
mmm+#-#+273(-2(2
What is the inverse of function f? f(x)=3-x/7
Answer:
Well the guy who answered on top is wrong.
But the answer is (D) F-1 (X) = 7x - 3
Step-by-step explanation:
Well took the test and got the answer wrong for the guy on top and took it again and got it right...
The inverse of the function f(x) is equivalent to -
f ⁻¹(x) = 7(3 - x).
What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is the function -
f(x) = 3 - x/7
The given function is -
f(x) = 3 - x/7
we can write -
y = 3 - x/7
Replace [y] and [x], as follows -
x = 3 - y/7
y/7 = 3 - x
y = 7(3 - x)
f ⁻¹(x) = 7(3 - x)
Therefore, the inverse of the function f(x) is equivalent to -
f ⁻¹(x) = 7(3 - x).
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the answer is 24 ....
Answer:
A equation with 24 as an answer would be 6*4
Step-by-step explanation:
find the value of a, x, y and z
PLEASE HELP ME !!!!!!
Answer:
According to the parallel lines theorem, the angle ∠JOP = ∠OPK
Thus, a = 45°.
Now according to the opposite angles theorem, ∠OPK = ∠NPL
thus, x = 45°.
[I could not find y and z in the diagram, so I could no help you with that]