Answer:
B = 4
T = 2
Step-by-step explanation:
First, figure out the equation.
We know that bicycles have 2 wheels, that there are 3 on a tricycle, and there are a total of 14 wheels and a total of 6 bicycles and tricycles.
Let b stand for bicycles and t stand for tricycles:
14 = 2b + 3t
6 = b + t
We can figure out the amount of either by rearranging the second equation to isolate one variable. I will solve it in two ways
In the first way, I will solve for b
(-t) 6 = b + t (-t)
6 - t = b
Plug this into the first equation and solve for remaining variable
14 = 2(6 - t) +3t
14 = 12 - 2t + 3t
14 = 12 +t
-12 -12
2 = t
6 - 2 = b
b = 4
The second way was to solve for t first
(-b) 6 = b + t (-b)
6 - b = t
14 = 2b + 3(6 - b)
14 = 2b + 18 - 3b
(-18) 14 = 18 -b (-18)
-4/-1 = -b/-1
b = 4
6 - 4 = t
t = 2
It doesn't matter which way you go, they both give you the exact same answer.
Sooo, recap!
1) write equations
2) switch the easier of the two to isolate one variable
3) substitute to find other variable (x2)
4) Find answers! =D
Hope this helps!
The answer too this??? And how to solve
alright then, 12x + 17 = 66! we started with 17 and there is twelve months with x amount of inches grown plus the already 17 that equals the total 66
so it is 12x + 17 = 66
Answer:
B. 12x + 17 = 66
Step-by-step explanation:
[tex]{.}[/tex]
the length of a rectangle is 5ft longer than its width. if the perimeter of the rectangle is 62 ft, find its length and width.
Answer:
width: 13, length: 18
Step-by-step explanation:
13 + 13 + 18 + 18 = 62
18 - 13 = 5
Suppose that a duck swam 22.5 kilometers in 5 hours at a constant speed how far did the duck travel
Answer:
4.5 = x
Step-by-step explanation:
Given:
22.5 = 5x
(we need to find out what x is)
22.5 / 5 = 4.5
meaning that the duck traveled at 4.5 kilometers per hour.
Check:
4.5 x 5 = 22.5
The video streaming service that you want to use is represented with the equation below, where y represents the the total monthly cost of the service and x represents the number of videos you plan to stream each month
if the x is 0,5,8,10,30 and y is 5,11.25, 15,17.5, 42.5what does the initial value represent in the problem and the rate of change
The coefficients of the linear relation are:
Initial value = 5Rate of change = 1.25How to find a linear equation?
A general linear equation is given by:
y = a*x + b
Where a is the slope (also called the rate of change) and b is the y-intercept (also called the initial value).
If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is given by:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we will use only need the first two pairs from the table (you can use any two you want).
(0, 5)
(5, 11.25)
From the first one, you can see that when x = 0, y = 5.
Replacing that in the general linear equation we get:
5 = a*0 + b
5 = b
So we already know the initial value. Now we can use these two points to get the slope (rate of change).
[tex]a = \frac{11.25 - 5}{5 - 0} = 1.25[/tex]
Then we can conclude:
Initial value = 5Rate of change = 1.25If you want to learn more about linear equations, you can read:
https://brainly.com/question/4074386
a linear function has a slope of 5 and crosses the y-axis at -12 what is the equation of the line
please answer
if it crosses the y-axis as -12, that means that's its y-intercept, and we know its slope.
[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}~~ \implies ~~y=\stackrel{\stackrel{m}{\downarrow }}{5}x\underset{\underset{b}{\uparrow }}{-12}[/tex]
Kiran jogs at a speed of 6 miles per hour when there are no hills. He plans to jog up a mountain road, which will cause his
speed to decrease by r miles per hour. Which expression represents the time, t. in hour it will take him to job 8 miles up the
mountain road?
Answer:
The equation is [tex]t = \frac{8}{6 - r}[/tex]
Step-by-step explanation:
First off, we know r is going to be subtracted from 6 somewhere in the expression since the problem says "decreasing by r miles per hour."
If we want to see how long it would take him to jog 8 miles up to the mountain road we would have to take 8 and divide it by 6 - r.
Therefore, the equation is [tex]t = \frac{8}{6 - r}[/tex]
Hope this helps, please mark brainliest if possible and give good ratings thanks :)
can anyone help me with this answer
(18) In the right triangle CDE, Angle E
measures 47° and the right angle is at
vertex C. Find m Angle D.
find the slope intercept form 5x-3y=27
Answer:
5/3x - 9
Step-by-step explanation:
Y = mx + b is the slope intercept form of a line where m is the slope and b is the y intercept.
Convert to slope intercept :
y = 5/3x-9
Hope this helps, please mark brainliest if possible :D
Answer:
y= 5/3 - 9
Step-by-step explanation:
5x-3y=27
-5x -5x
-3y= -5x+27
divide all numbers by -3
How much Water do you add to make each concentration 1% sugar syrup using 12 g sugar I saw the other answers were 33 but they were incorrect please help me
Answer:
1188 grams
Step-by-step explanation:
You want the 12g of sugar to be 1% of the whole solution.
So, say you add grams of water. The solution will be composed of 12 grams of sugar and grams of water, for a total of grams.
So, the ratio "sugar/total" will be
and we want this ratio to be 1%, i.e. 1/100:
Multiply both sides by 100 and to get
Subtract 12 from both sides:
So, a solution composed of 1188 grams of water and 12 grams of sugar will be 99% water and 1% sugar.
Answer: 1188 grams of water
Step-by-step explanation:
Sugar = 1% = 12
Whole = 100% = 12·100 = 1200
Water = 99% = 1200 - 12 = 1188
You Need 1188 Grams Of Water To Make The Solution 1% Sugar
plsssssss answer fast
Help please I don’t know how to do this
Answer: 1) theater b- $4 per ticket theater c- $8 per ticket 2) small- $0.30 per oz. medium- $0.25 per oz. large- $0.20 per oz. 3) store a- $16 per shirt store b- $6 per shirt store c- $4 per shirt 4) can- $0.05 per oz. bottle- $0.09 per oz. cup- $0.10 per oz. 5) laundromat a - $2 per load laundromat b- 3$ per load laundromat c- $3 per load 6) tide- $0.19per load gain- $0.21 per load purex- $0.17 per load 7)McDonald's- $1.19 per burger Wendy's- $2.99 per burger Burger King- $1.05 per burger 8) McDonald's- $0.30 per oz. Wendy's- $0.46 per oz. Burger King- $0.25 per oz.
Step-by-step explanation:
To find the answers all you need to do is dive the total cost by the number of items.
Find the missing value.
Hint: Use the number line to find the missing value.
-3 =−3=minus, 3, equals
-11−11minus, 11
Answer:
8
Its 8 because if you subtract 11-8 you get -3.
Answer:
person above is wrong the correct answer is 3 on Khan academy
Step-by-step explanation:
I need Exactly 1 more brainliest to level up!
Please help me pleaese please
Answer:
3/2
Step-by-step explanation:
When you look at the problem, it starts off with 6. Then it states 4. That makes 6/4. Now when you simplify that, you get 3/2 because you can take out 2 in the numerator and denominator. I'm not completely sure if this is right, it's honestly a guess...
Finding the total COS
wing ldx Umid
A bicycle has a listed price of $808.98 before tax. If the sales tax rate is 8.75%, find the total cost of the bicycle with sales
tax included.
Round your answer to the nearest cent, as necessary.
Answer:
$879.76575 --> $880
Step-by-step explanation:
$808.98 × 0.0875 = $70.78575 <-- this represents the additional sales tax
$808.98 + $70.78575 = $879.76575 <-- add sales tax to original price
Using a fair coin and a number cube with faces numbered 1 through 6, what is the probability of getting heads and rolling a 5?
A
1/12
B
1/6
C
1/2
D
11/12
Step-by-step explanation:
Use Multiplication Principle with states that if a event can occur n ways, and another mutually exclusive event occur p ways, then the total outcome is
[tex]n \times p[/tex]
The possible ways of rolling a dice is 6 and the possible ways of flipping a coin is 2 so we have
[tex]6 \times 2 = 12[/tex]
Now, we use the fact that proabliblity is
Number of favorable outcomes/ Total outcomes.
We can only get a head and a 5 once out of the set so the number of favorable outcomes is 1. Total outcomes is 12 so we have
[tex] \frac{1}{12} [/tex]
A is the answer.
Which problem can be solved using the equation shown? 2 dollars and 50 cents x minus 2 dollars = 10 dollars and 50 cents Will bought several books that cost $2. 50 each and received a $2. 00 discount on his total bill. If he paid $10. 50, how many books did he buy? Will bought several books that cost $2. 00 each and received a $2. 00 discount on his total bill. If he paid $10. 50, how many books did he buy? Will bought several books that cost $10. 50 each and received a $2. 00 discount on his total bill. If he paid $2. 50, how many books did he buy? Will bought several books that cost $10. 50 each and received a $2. 50 discount on his total bill. If he paid $2. 50, how many books did he buy?.
The costs were $2.50 each and received a $2.00 discount on his total bill. If he paid $10.50
Linear systemIt is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
2.5x - 2 = 10.5 is a linear equation.
To findThe number of books.
How to get it?2.5x - 2 = 10.5 is a linear equation.
On simplifying, we get
2.5x - 2 = 10.5
2.5x = 12.5
x = 5
The number of books is 5.
Thus, the costs were $2.50 each and received a $2.00 discount on his total bill. If he paid $10.50.
More about the linear system link is given below.
https://brainly.com/question/20379472
Answer:
Will bought several books that cost $2.50 each and received a $2.00 discount on his total bill. If he paid $10.50, how many books did he buy?
Step-by-step explanation:
Supper late but here is the answer.
Have a good day :)
A local high school is raffle off a college scholarship to the students in its junior class, If a girl has a 0.55 chance of winning the scholarship and 154 of the juniors are girls, how many of the juniors are boys? (Assume that every junior has an equal chance to win.)
Answer: 126
Step-by-step explanation:
55% of student population is girls
if there are 154 girls then
0.55x = 154, where x represents school population
x=280
assuming the school only has boys and girls, anyone that's not a girl must be a boy, so
boys = 280 - 154 = 126.
if the school is not only boys and girls,
there will be 126 or less boys
Can someone help me please
Answer:
see attached
Step-by-step explanation:
Angles are normally positive measured counterclockwise from the +x axis. An angle of -90° is an angle 90° clockwise. The rotation will map 1st, 3rd, and 4th-quadrant points to the 4th, 2nd, and 3rd quadrants, respectively.
The square in the figure is centered on the (presumed) rotation center, so rotating it 90° does not change its appearance.
If RU=8, US= 14, TV=x-1, and VS = 17.5,
find x and TV.
S
V
R
T
Answer:
x = 11, TV = 10
Step-by-step explanation:
set up as proportion and cross multiply to solve:
14/8 = 17.5/x-1
x = 11
then apply to TV to find TV:
x - 1
11 - 1
= 10
Solve and graph the linear equation below.
x + 4y = 8
I just want to double check if I’m correct, I believe the slope would be (8,0) & (-2,0)
Thanks.
The students in PE class were lined up in rows for a game. The first row had 15 children, the second row had 14 children, the third row had 13 children, and the fourth row had 12 children. If the pattern continues, how many children will be in the sixth row?
Answer:
It should be 10 children in the sixth row
Step-by-step explanation:
fourth row had 12, fifth has 11 and sixth has 10 - (the pattern continues)
You earn $85.60 each week for mowing lawns. Each week, you spend $20.25 on gas and save $25.75. How much money do you have left Over each week?
Answer:
$39.60
Step-by-step explanation:
calculator.
Answer:
39.60
Step-by-step explanation:
Just subtract 20 . 25 and 25.75 over 85.60
help 9 grade k12
Explain why you cannot factor the trinomial x2−15x+3
Question 8 options:
There are no factors of -15 that add up to 3.
It can be factored
There are no factors of 3 that add up to -15
Answer:
There are no factors of 3 that add up to -15
Step-by-step explanation:
the only factors of 3 is, 1 and 3.
Brett's music teacher spent $134.30 on 17 song books. What is the cost per book?
a $7.90
b. $7.30
C. $17.30
d. $17.9
Please do a step by step explanation! It’s for a test and get extra credit! Worth a lot of points!
what is the volume of the prism?
Step-by-step explanation:
11/2 z + 9/5 = 1.8 + 12z -6.5z=?
Answer:
Step-by-step explanation:
Answer/Step-by-step explanation:
11/2z+9/5=1.8+12z-6.5z
We move all terms to the left:
11/2z+9/5-(1.8+12z-6.5z)=0
Domain of the equation: 2z!=0
z!=0/2
z!=0
z∈R
We add all the numbers together, and all the variables
11/2z-(5.5z+1.8)+9/5=0
We get rid of parentheses
11/2z-5.5z-1.8+9/5=0
We calculate fractions
There is no solution for this equation
"The product of a number and -8, decreased by
13 is less than or equal to 27."
Answer: less than
So you have:
-8n - 13 ≤ 27Now, solve for n:
-8n -13+13 ≤ 27 + 13-8n ≤ 40
Now, to divide both sides by a negative number (-8), you must change the inequality to ≥
-8n/-8 ≥ 40/-8n ≥ -5
Calculate the slope of a line with a run of 3 and a rise of 9.
Answer:
Slope = 3
Step-by-step explanation:
Slope is calculated as the "Rise/Run" of a straight line. The Rise is the change in the value of y, or the amount y changes per change in x. Run is the change in the x value. A line with a run of 3 and a rise of 9 is calculated as:
Rise/Run = 9/3 or 3
This means that the value of y will increase by 3 for every increase of 1 in the value of 3.
Slope in "m" in the slope-intercept form of a straight line equation: y = mx + b
The line y = 3x + 2 tells us the it has a slope of 3 and intercepts the y axis at x = 2.
Example points (y = 3x + 2)
(0,2)
(1,5)
(4,14)
Note that y changes by 12 when x changes by 4. Rise/Run = 12/4 or 3.
Ivana Chase has a gross monthly income of $5,400. She pays 16% in federal and state taxes, puts aside 12% of her income to pay off her school loan, and puts 5% of her income aside for savings. She is considering an apartment that will rent for $1,700 per month. How much will remain after she pays for the rent and other expenses?
Answer:
$82Step-by-step explanation:
let's start by finding (16+12+5)% of 5,400
33% of 5,400 is 1,782
now lets subtract 1,700 from 1,782
=$82
