Answer:
[tex]\displaystyle r=\frac{3t}{t-1}[/tex]
Step-by-step explanation:
We are given the formula:
[tex]\displaystyle t=\frac{r}{r-3}[/tex]
And we are asked to make r the subject of the formula.
We can multiply both sides by r - 3. This reduces the denominator on the right-hand side:
[tex]t(r-3)=r[/tex]
Distribute:
[tex]rt-3t=r[/tex]
Subtracting rt from both sides yields:
[tex]-3t=r-rt[/tex]
Factoring:
[tex]-3t=r(1-t)[/tex]
Divide and simplify:
[tex]\displaystyle \begin{aligned} r & = \frac{-3t}{1-t} \\ \\ & = \frac{3t}{t-1}\end{aligned}[/tex]
In conclusion:
[tex]\displaystyle r=\frac{3t}{t-1}[/tex]
Similar triangles vs con congruent explanation
Answer:
Similar triangle means that only the angles are the same, but the sides are not. Congruent means the angles and sides are the same.
Find the x and y intercepts of the graph of the function
Answer:
y intercepts= 0 x intercepts= none
nation:
The 2 funtions above the x axis do not intercept with the y-axis or the x-axis. They just hover above it, but never atcually touch it.
The function bellow the x-axis only intercepts the y-axis at 0,0
The x and y intercepts of the graph of the function are x=none and y=-1 respectively.
From the given figure we need to find the x and y intercepts of the function.
What is x and y intercepts of the function?The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
From the graph, we can see two curves running on x-axis.
The curve crosses the y-axis at y=-1.
Therefore, the x and y intercepts of the graph of the function are x=none and y=-1 respectively.
To learn more about the x and y intercepts visit:
https://brainly.com/question/14180189.
#SPJ5
Matthew and his 3 siblings are wedding a flower bed with an area of 9 square yards. If they shared the job equally,how much square yards of the flower bed will each child need to weed
What category does -1/3 belong in? (Select all that apply) Rational Number Rational Number Integer Number Integer Number Natural Number Natural Number Whole Number
Answer:
1/3 is a rational number
Step-by-step explanation:
The graph of a linear function is shown.
Which word describes the slope of the line?
1. Positive
2. Negative
3. Zero
4. Undefined
The slope of the linear function is negative
The graph is a linear function that has the following property:
As the x values increase, the y value reducesAs the x values decrease, the x value increasesThe above highlight implies that the slope of the line is negative
Hence, the true statement is (2) Negative
Read more about linear function at:
https://brainly.com/question/15602982
Answer:
Negative
Step-by-step explanation:
Edge
Need help on question 11 please!! (Will mark as Brainliest)
I think it is adjacent because it isn't linear or vertical at all.
A full container that holds 96 fluid ounces developed a leak in the bottom. After 72 hours, all the liquid had emptied from the container. What was the average rate at which the liquid drained from the container, in fluid ounces per hour? and an yall explain the answer step by step please and thank you
how to factor x^2 +x-2
Answer:
(x - 1) (x + 2)
Step-by-step explanation:
Use the AC method
Water Use
50
40
30
Water used (gal)
20
10
O
2 4 6 8 10
Time (min)
O y = 10x
O y = 5x
O y=1/10
O y = 1/5
HEEELLLLPPPP MEEEE ASAP!!!!!!!!!!!
PLEASE HURRY, 20 POINTS
A rectangle’s area and perimeter have the same numerical value. The length of the rectangle is 12 feet. What is the width of the rectangle in feet? Enter your answer as a decimal in the box.
Answer:
[tex]2.4\text{ feet}[/tex]
Step-by-step explanation:
A rectangle's perimeter is given by the formula:
[tex]P=2(l+w)[/tex]
A rectangle's area is given by the formula:
[tex]A=lw[/tex]
We are given that they have the same numerical value. In other words:
[tex]2(l+w)=lw[/tex]
And we are also given that the length is 12 feet. So, substitute 12 for l:
[tex]2(12+w)=12w[/tex]
To solve for the width, we just need to solve for w.
On the left, distribute:
[tex]24+2w=12w[/tex]
Subtract 2w from both sides. The left side cancels:
[tex]24=10w[/tex]
Divide both sides by 10. Flip also:
[tex]w=\frac{24}{10}[/tex]
Reduce both layers. Use 2. So:
[tex]w=12/5=2.4[/tex]
So, the width is 2.4 feet.
And we're done!
Answer:
2.4
Step-by-step explanation:
4. GROCERIES A local grocery store sells grapes for $1.99 per pound. Determine whether the function that models the
cost of grapes is discrete, continuous, or neither discrete nor continuous. Then state the domain and range of the
function.
Answer:
Ok, we know that the price, per pond of grapes, is $1.99.
Now the function that models the cost of grapes is:
C(x) = $1.99*x
Where x is the number of pounds that you buy.
Here we can assume two things:
1) The grapes are already in bags, so x can be only whole numbers, as x can take only whole numbers, the cost c(x) will be discrete because there are a lot of possible costs that are not accessible.
Then the domain is:
D: {0, 1, 2, 3, 4.....}
And the range is :
R: {0*$1.99. 1*$1.99, 2*$1.99, ...}
2)You can choose any amount of grapes that you want, and then the grapes are weighted when yo pay. (This has not really sense, but it is fun to analyze the problem in different ways)
Here the weight can take almost any value, because with individual grapes you can have almost any number of pounds.
But the unit that defines the total weight is the weight of a single grape.
Then if you have N grapes (and all of them weight almost the same, let's say M)
The total weight will e N*M
If you add one more grape, the weight is: (N + 1)*M
Then it is still discrete!
As we do not know the mean weight of a grape, we can not find the domain nor the range in this situation, so the one above is the one that we should consider the correct one.
what has an infinite number of points and lines on a flat surface.
Answer: a plane
Step-by-step explanation: A flat surface made up of points that extends infinitely in all directions. There is exactly one plane through any three points that are not on the same line. Two dimensions with length (infinite) and width (infinite).
Find the midpoint of the segment with the following endpoints. (1, 1) and (7,7)
please help number 6 need it for hw
Add then divide.
Evaluate
(7.3 X 10^6) + (2.4 X 10^7)
(4 X 10^4)
Answer:
Step-by-step explanation:
(7.3 X 10^6) + (2.4 X 10^7)
= 31.3 × 10^6
or 3.13 × 10^7
(4 X 10^4)/ (31.3×10^7)
=1.28 × 10^-3
Josh determined the solution set to the following inequality. His work is shown below.
|36 – 4p| > 16
1. (36 – 4p) > 16, –(36 – 4p) > 16
2. –4p > –20
p > 5
3. –36 + 4p > 16
4p > 52
p > 13
4. p > 5 or p > 13
Analyze Josh’s work. Is he correct? If not, what was his mistake?
Yes, he is correct.
No. In step 1 his second inequality is not correct.
No. When solving the first inequality in step 2, he did not flip the inequality sign when he divided by a negative.
No. When solving the second inequality in step 3, he did not flip the inequality sign when dividing by a positive.
Answer:
c
Step-by-step explanation:
on a number line, point D is located at 9 and point P is located at -11 what is the distance from d to p
Answer:
20
Step-by-step explanation:
The distance between two points on the number line is the absolute value of the difference of their coordinates.
coordinate of point D: 9
coordinate of point P: -11
Take the absolute value of their difference. It does not make a difference in which order you subtract the coordinates.
distance = |-11 - 9| = |-20| = 20
Answer: The distance is 20.
Paul wants to estimate the mean number of siblings for each student in his school. He records the number of siblings for each of 100 randomly selected students in the school. What is the parameter?
Answer:
A parameter is defined as a numerical or another measurable factor that conforms a set that defines a given system.
In this case, the only parameter that we have is the number of siblings that each one of the 100 students has.
For example, in a table:
#student #siblings.
1 3
2 1
3 4
... ...
In the left side, we have the "number of the student" that does not really matter, because the students are randomly selected, and at the right, we can see our only parameter in this study, that is the number of siblings that each student has.
Can someone help me out pleaseeeee :(
Answer:
For number 9 and 11
9. is >
11. is <
Sorry I couldn't help with the rest! Goodluck!~
WILL MARK FIRST ANSWER AS BRAINLIEST
Write an equation for the following (put the EQUATION in the answer box):
Jamie spends the same amount of money each morning. On Sunday, he bought a newspaper for $1.25 and bought 2 donuts. On Monday, he spent $0.50 on a newspaper and also bought 5 donuts. How much does each donut cost?
1.25+2x=.50+5x
Find the cost of a donut in #17
Answer:
$0.25 per donut.
Step-by-step explanation:
So, we know that Jamie spends the same amount of money each morning.
On Sunday, he spent $1.25 on a newspaper and bought 2 donuts.
On Monday, he spent $0.50 on a newspaper and bought 5 donuts.
Since he spend the same amount of money each morning, we can say that:
[tex]1.25+2x=0.5+5x[/tex]
Where x represents the cost per donut.
So, to find the cost of a donut, we need to solve for x.
So, let's try to isolate the x. Subtract 2x from both sides:
[tex](1.25+2x)-2x=(0.5+5x)-2x[/tex]
The left side cancels. Subtract on the right:
[tex]1.25=0.5+3x[/tex]
Now, let's subtract 0.5 from both sides:
[tex]0.75=3x[/tex]
To find x, divide both sides by 3:
[tex]x=0.75/3[/tex]
Divide:
[tex]x=0.25[/tex]
Therefore, each donut cost $0.25.
And we're done!
Identify the property of real numbers illustrated in the following equation.
6x + (-6x®) = 0
Answer:
Inverse property of addition is what I think.
Step-by-step explanation:
-4k + 2(5k − 6) = −3k – 48
Answer:
k = -4
Step-by-step explanation:
-4k + 2(5k − 6) = −3k – 48
Distribute on the left side.
-4k + 10k - 12 = -3k - 48
Combine like terms on the left side.
6k - 12 = -3k - 48
Add 3k to both sides.
9k - 12 = -48
Add 12 to both sides.
9k = -36
Divide both sides by 9.
k = -4
What are the steps to solving the inequality 3b + 8 2 14?
O Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.
O Subtract 8 from both sides of the inequality. Change the direction of the inequality. Divide both sides of the
inequality by 3.
O Divide both sides of the inequality by 3. Subtract 8 from both sides of the inequality.
O Divide both sides of the inequality by 3. Change the direction of the inequality. Subtract 8 from both sides of the
inequality.
Answer:
Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.
Step-by-step explanation:
The given inequality is 3b + 8 ≥ 14
We need to solve the given inequality
Step 1.
Subtract 8 to the both sides of the inequality
3b + 8 - 8 ≥ 14 -8
3b ≥ 6
Dividing both sides by 3
b ≥ 2
The value of b is greater than and equal to 2.
Hence, the correct option is (a).
Dominique had $250 to spend at the mall. She bought jeans for $27.50, a sweater for $32.75, and 3 shirts for $12.50 each. How much money does she have left after shopping?
Answer:
152.25
Step-by-s152.25tep explanation:
Answer:
Dominique has $162.25 dollars left after shopping.
Step-by-step explanation:
250 - 17.50 - 32.75 - 12.50 x 3
250 - 17.50 - 32.75 - 37.5
232.5 - 32.75 - 37.5
199.75 - 37.5
162.25
What point on a number line lies directly between point -4 and -26
Answer: -13
Step-by-step explanation:
Can someone please help me understand the Pythagorean theorem? I am having a hard time with it
Answer:
pythagoras theorem
Step-by-step explanation:
watch khan academy video on you tube or the organic chemistry tutor , very helpful i had difficulty too but now I don't
PLZ HELP WILL GIVE BRAINLIEST
Answer:
A. Yes
B. No
C. Yes
Step-by-step explanation:
A. 90 divided by -9 equals -10. So -10+10=0
B. -10 times -9 equals 90. 90+90=180
C. -90 dived by 9 equals -10. Subtracting a negative number is equal to adding it so -10 - (-10) = 0
If x^2 = 49, then x^-2 =
Answer:
0.001665973
Step-by-step explanation:
Which algebraic expression represents "the sum of a number and 9"?
On-g
On+ 3
Ogn
n
Answer
n+9
Step-by-step explanation:
Mason sold 10 wristbands and made a total of 5 dollars. What is the unit rate?
Answer:
10 = 5x
5/10
x =1/2
unit rate is equal to 0.50
Step-by-step explanation: