Answers
Answer:
She went on the slide 8 times and on the roller coaster 4 times
Step-by-step explanation:
We convert each statements to a mathematical equation.
Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.
Mathematically, R + S = 12. ........(i)
Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.
To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.
Mathematically, 25R + 10S = 180 .......(ii)
Here we now have two equations that we can solve simultaneously.
From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:
25(12 - s) + 10s = 180
300 - 25s + 10s = 180
300 - 25s + 10s = 180
300 - 15s = 180
15s = 300 - 180
15s = 120
S = 120/15
S = 8
S = 8 , and R = 12 - S = 12 - 8 = 4
Related Questions
Use the properties of logarithms and the values below to find the logarithm indicated. Do not use a calculator to evaluate the logs. Show your work on the right using the draw tool. Log rules are included for reference at the bottom of the slide.
Answers
Answer:
02.
Step-by-step Explanation
[tex]log \frac{3}{2} \\ \\ = log \frac{3 \times 4}{2 \times 4} \\ \\ = log \frac{12}{8} \\ \\ = log 12 - log 8 \\ \\ = 1.1 - 0.9 \\ \\ = 0.2 \\ \\ \huge \red{ \boxed{log \frac{3}{2} = 0.2}}[/tex]
Answer: 0.2
Step-by-step explanation:
We have to find [tex]log \frac{3}{2}[/tex].
We are given log 12 and log 8, the farthest.
Subtract to find the number you have to multiply by.
3 x 4 = 12 and 2 x 4 = 8.
Our next fraction will be [tex]log \frac{12}{8}[/tex]
Now, subtract log 12 (1.1) by log 8 (0.9)
1.1 - 0.9 = 0.2
So, the answer to the question is 0.2
6. (01.01 MC)
Why is 1 + (-5) equal to -4? (1 point)
Because it is 5 units to the right of 1 on a horizontal number line
O
Because it is 5 units to the left of 0 on a horizontal number line
Because it is 5 units to the right of 0 on a horizontal number line
Because it is 5 units to the left of 1 on a horizontal number line
Answers
Step-by-step explanation:
Because it is 5 units to the left of 1 on a horizontal number line
D(-3,4) E(7, 6) 1:3
Answers
Answer:d
Step-by-step explanation:
Solve for x.
X^2 – 2x +1=0
x=
Answers
Sam's Furniture Store places the following advertisement in the local newspaper.
Write a system of equations for the three combinations of furniture. Let S represent the cost
of a sofa, let L represent the cost of a love seat, and let C represent the cost of a chair.
$1300
$1400
Soca and love
Sota and two
1300
$1600
Sota love seat
18
= 1400
= 1600
What is the price of each piece of furniture?
A sofa costs $ 166, a love seat costs $ 566 and a chair costs $ 233
Answers
Answer:
$500Step-by-step explanation:
GivenSofa = sLove seat = lChair = cSofa and love seat cost = $1300Sofa and 2 chairs cost = $1400Sofa, love seat and one chair cost = $1600To findLove seat = ?SolutionEquations as per given are:
s + l = 1300s + 2c = 1400s + l + c = 1600Subtract equation 1 from equation 3:
s + l + c - s - l = 1600 - 1300c = 300Considering this in the equation 2:
s + 2*300 = 1400s = 1400 - 600s = 800Substituting s in the equation 1:
800 + l = 1300l = 1300 - 800l = 500Answer: Love seat costs $500
Solve x^2 - 16x = -12 by completing the steps.
First, subtract ____ from each side of the equation.
Answers
Answer:
You would subtract -12 from both sides!
Explanation:
The eqaution will become like this:
[tex]x^{2}[/tex] - 16x + 12 = 0
Then you would solve it with the Quadratic Equation formula.
Answer:
First, subtract 60 from each side of the equation.
Next, add 64 to each side of the equation to complete the square.
Now, write x² - 16x + 64 = -8 as (x-8)^2=-8
Take the square root of both sides to get the solutions.
8+-2=[tex]\sqrt{2i}[/tex]
Step-by-step explanation:
Help me please.......
Answers
Answer:
90 . this can be easily answered as all the angle of points are given in question
Step-by-step explanation:
90 degree angle
SOMEBODY HELP!
MY MATH IS DUE TOMORROW HELP ME AND PLEASE EXPLAIN YOUR WORK
Label each of the parts: terms, like terms, coefficients, and constant
terms.
9 + 7y - 2 - 5y
Answers
Answer:
= 7 + 2y.
Step-by-step explanation:
Collect like terms.
(9 − 2 ) + (7y − 5y )
Simplify.
= 7 + 2y.
Hope this helps.
Have a good night ma'am/sir.
Be safe!
Is the equation true or false when x = 4? (3−x28)⋅12=3x(3−x28)⋅12=3x true false
Answers
Answer:
It’s true
Step-by-step explanation:
Antwan’s car loan is automatically deducting $150 from his bank account every month. How much will the deductions total for the year?
Answers
Answer:
$1,700
Step-by-step explanation:
Multiply the rate that money is being taken out at by the amount taken out at
12 x 150
Is 4x -3 =19 true false or open?
Answers
Answer:
4x-3=-12 fasle
Step-by-step explanation:
Hellllppppp!!!! Pleaseeeee
Answers
Answer:
32 degrees
Step-by-step explanation:
It a isosceles triangle , so what you do is 180-116 and divided that by 2
What is 10 times greater than 2000
Answers
Answer:
20,000
Step-by-step explanation:
Let's take it step-by-step
10 times greater than 2,000
10 x 2 = 20, 10 x 20 = 200, 10 x 200 = 2,000, 10 x 2,000 = 20,000
just remember to add a zero after each number so, if you have 10 x 20, just take the 2 and but a zero, 20, 10 x 20 = 200, Etc.
If you need more help let me know :)
Ten times greater than 2000 is 2000.
How to find out how many times greater or less given quantities are relative to each other ?To find how much greater one quantity is to other just divide other quantity by one quantity.If how many times is given and have to find greater just multiply the given quantity by the given times.
In the given question 10 times greater than 2000 is 2000 multiplied by 10 = 20000
To reverse check divide 20000 by 2000 and the result should match the previous result you have obtained.
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HURRY!! THIS ASSIGNMENT IS DUE IN 5MIN!!! THANK YOU!!!!!!
Paula leaves home driving 40 miles per hour. One hour
later, her brother Dan leaves home, driving in the same direction at a speed of 50 miles per hour. How long will it take Dan to catch up to Paula?
Answers
a movie sells tickets for for the cost of 4$ and 6$.there is a total of 75 tickets for a total of 400$,how many tickets were sold
Answers
25 $4 TICKETS WERE SOLD
hope this helped :)
Solve this proportion c-1/c+2=4/7
Answers
Answer:
c = 5
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
[tex]\frac{c-1}{c+2} =\frac{4}{7}[/tex]
Step 2: Solve for c
Cross multiply: [tex]7(c-1)=4(c+2)[/tex]Distribute: [tex]7c-7=4c+8[/tex]Subtract 4c on both sides: [tex]3c-7=8[/tex]Add 7 to both sides: [tex]3c=15[/tex]Divide both sides by 3: [tex]c=5[/tex]Step 3: Check
Plug in c to verify it's a solution.
[tex]\frac{5-1}{5+2} =\frac{4}{7}[/tex]
[tex]\frac{4}{7} =\frac{4}{7}[/tex]
Translate sentence into an equation.
Thirteen is 7 more than one-fifth of a number
Answers
Answer:
[tex]13=7+\frac{1}{5}x[/tex]
Step-by-step explanation:
The answer would be 30
On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula of y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).
What are the coordinates of the image of vertex F after a reflection across the line y = –x?
(–1, –3)
(3, –1)
(1, 3)
(–3, 1)
Answers
Answer:
B. (3, -1)
Step-by-step explanation: I got a 100 on the test
The rule for a reflection across line y = -x: (x, y) → (-y, -x)
F(1, -3) → F'(3, -1)
The answer would be option B (3, –1).
What is Parallelogram?A parallelogram defined as a special type of quadrilateral which has both pairs of opposite sides parallel and equal.
Coordinates of the vertices of a parallelogram are,
E(-3, -5), F(1, -3), H(2, -5), G(-2, -3)
Equation of a line about which this parallelogram was reflected is, y = -x
The rule for a reflection across line y = -x: (x, y) → (-y, -x)
That means when a point (x, y) is reflected across the line y = x, we find a new point (-y, -x)
By this rule new point by reflecting point F will be,
F(1, -3) → F'(3, -1)
Therefore, Option (B) will be the answer.
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Twice the sum of a number and 3.
Answers
Thus, the required number is 27.
Question seems to be incomplete. Here, Question could be -
"Twice the sum of a number and 3 is equal to three times the difference of the number and 9 find the number."
What is algebraic expression?
Algebraic expression consists of constant and variable. eg x, y, z etc.
Let the number be 'x'.
Now, applying condition
2(x+3) = 3(x-9)
2x+6 = 3x - 27
x = 21
Thus the required number is 21.
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Can someone help me please!!!!!
Answers
Answer:-4
Step-by-step explanation:
Answer:
forgive me if I'm wrong, but I believe that a is -2.25. someone, please comment if I'm incorrect.
Step-by-step explanation:
I subtracted 3.25a from both sides and got
0.75a+5=2
then I subtracted both sides from 5 and got
0.75a=-3
divided both sides by 0.75
and I got a= -2.25
What is the End behavior on the right side?
Answers
Answer: Choice A) [tex]x \to \infty, \ \ y \to \infty[/tex]
As x gets larger in the positive direction, so does y.
Both x and y are going to infinity.
This is another way of saying "rises to the right".
Suppose Thomas owns 30 movies. If the ratio of old movies to new movies is 4:1, how many new movies does Thomas have?
Select 1 answer
A- 1 new movie
B- 5 new movies
C- 24 new movies
D- 6 new movies
Please Hurry!
Answers
find the slope of the line through each pair of points
(-3,9), (0,3)
Answers
Answer:
-2
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 3-9)/(0- -3)
= (3-9)/(0+3)
= -6/3
= -2
The ratio of girls to boys in Mr. Neal's class is 15:19 what percent of the students are girls?
Answers
Answer:
15/34
Step-by-step explanation:
add 15+19=34
then make it a fraction
What is the scale factor of AABC to ADEF?
A. 6
B. 1/6
C. 2
D. 1/2
Answers
Answer:
1/6
Step-by-step explanation:
Side AB * scale factor = Side DE
72* scale factor = 12
Divide each side by 72
scale factor = 12/72
scale factor = 1/6
Option B is correct, 1/6 is the scale factor of triangle ABC to triangle DEF
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Dilation is a transformation, which is used to resize the object
The size by which the shape is enlarged or reduced is called as its scale factor.
DEF is dilated graph of ABC
Let us take any side of ABC and its corresponding side to find the scale factor
Side AB × scale factor = Side DE
72×scale factor = 12
Divide each side by 72
scale factor = 12/72
scale factor = 1/6
Hence, 1/6 is the scale factor of triangle ABC to triangle DEF
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Solve v +8 < 3 or -80 <-40.
Answers
Explanation:
v + 8 < 3
v < 3 - 8
v < -5
OR:
v - 80 < -40
v < -40 + 80
v < 40
Help me ASAP plz !????
Answers
Answer:
a. 50
Step-by-step explanation:
130 and angle 6 have to add up to 180 which means you subtract 130 from 180 which gives you 50
ONE EASY FRESHMEN MATH QUESTION!!
Answers
1.05<√5<3.05
help please ill give u brainiest if it's correct
Answers
Answer:
Supplementary
Step-by-step explanation:
If you are given a graph, an equation, and a table; each representing a different linear function how would you determine which one has the greatest rate of change
Answers
Answer:
you would simply calculate the slope for each, a graph it is easy because you simply get two points on the graph and solve for it (y2-y1/x2-x1), an equation if it is in slope intercept form, the coefficient of x is the slope, from a table you use a similar method to a graph except you grab two values/instances, let's say in a table the numbers are presented like this:
3 4
2 6
You would then simply do the same thing for solving for the slope (y2-y1/x2-x1). In this instance it would be 6-2/4-3=4/1
All of these would give you the rate of change as the slope is the rate of change.
Step-by-step explanation: