Given :
Heidi uses 5 grams of tea leaves to make 25 fluid ounces of tea.
Last week she made 75 fluid ounces of tea.
To Find :
How many grams of tea leaves did Heidi use to make tea last week.
Solution :
Let, x gram of leaves are required last week.
So,
[tex]\dfrac{x}{5}=\dfrac{75}{25}\\\\x = 5\times\dfrac{75}{25}\\\\x = 5\times 3\\\\x = 15 \ grams[/tex]
Therefore, 15 grams of tea leaves is used last week.
Hence, this is the required solution.
Does the graph show a proportional relationship? EXPLAIN.
Answer:
It is not proportional because it does not pass through the origin (0,0)
Find the slope of the line that passes through the given points.
(-5, 2) and (-2,8)
A 1/2
B 2
C -2
D) 6/7
E -6/7
Answer:
I do not know
Step-by-step explanation:
7/8 = 21/k whats k
Answer:
k = 24
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define
7/8 = 21/k
Step 2: Solve for k
Cross-multiply: 7k = 168Divide both sides by 7: k = 24Step 3: Check
Plug in k to verify it's a solution.
Substitute: 7/8 = 21/24Simplify: 7/8 = 7/8Here we see that 7/8 does indeed equal 7/8. ∴ k = 24 is a solution.
the points on the graphs represent relations. Classify these relations according to whether or not they are functions
9514 1404 393
Answer:
functions: 2 graphs on the rightnot functions: 2 graphs on the leftStep-by-step explanation:
If a vertical line can be drawn that goes through 2 or more points on the graph, then it is not a function. That will be the case for the two graphs on the left side of your figure.
The two graphs on the right side pass this "vertical line test," so are functional relationships.
upper left: not a function
upper right: is a function
lower left: not a function
lower right: is a function
A rope is tied to a 8 ft falling tree. What could be the length of the rope, if the
person is 10 ft from the tree?
help :))
Answer:
10 ft
Step-by-step explanation:
What is the first step in solving this system of equations using elimination?
3
y = -x+3
4
2x - 4y = 6
A. Write the second equation in slope-intercept form.
B. Subtract 2x from both sides of the second equation.
C. Write the first equation in standard form.
D. Multiply the first equation by 3.
Please select the best answer from the choices provided
Answer:
C. Write the first equation in standard form.
Find the area of a triangle if the base is 8.2 m and the height is 4.6 m. (A=1/2bh)
Answer:
18.86
Step-by-step explanation:
8.2 x 4.6 = 37.72
37.72/2 = 18.86
Answer:
18.86
Step-by-step solution:
8.2 * 4.6 = 37.72
divide by two, 18.86
Sorry I couldn't elaborate further, I'm really busy right now. Please contact me if you need any more help and I will be sure to help you more soon.
Ben deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Ben leaves the money in the account for 12 years, how much interest will he earn?
Answer:
$2,184
Step-by-step explanation:
$6,500 x 2.8% = annual interest
6,500 x 2.8% = $182 annual interest
$182 x 12 years = interest earned in 12 years.
182 x 12 = $2,184
Help me with please and thanks
Answer: b
Step-by-step explanation:
The answer is b because both sides of the table start with zero and both sides of the table have a continues pattern the y side(right). They are increasing by a set # of points(3).
I AM NOT POSITVE ABOUT THE ANSWER, BUT IF I HAD TO GUESS- B WOULD BE THE ANSWER! sorry if its wrong!
The graph of exponential function f(x) is shown. What is the value
The value of f(6)=64
Given :
The graph of an exponential function .
Explanation :
We need to find out f(6) using the given graph .
To find f(x), first we find out the function f(x) using the graph .
Pick any two points from the graph (0,1) and (1,2)
General form of exponential function is [tex]y=ab^x[/tex]
Substitute (0,1) in general equation
[tex]1=ab^0\\1=a\\a=1[/tex]
Now we plug in (1,2) in the equation
[tex]y=ab^x\\2=1(b)^1\\2=b\\b=2[/tex]
Substitute a=1, b=2 in [tex]f(x)=ab^x\\[/tex]
[tex]f(x)=1(2)^x\\f(x)=2^x[/tex]
To find out f(6), we plug in 6 for x in f(x)
[tex]f(x)=2^x\\f(6)=2^6\\f(6)=64[/tex]
Learn more : brainly.com/question/3971260
What is the image point of (3, 8) after a translation right 3 units and down 5 units
Answer:
(6, 3)Step-by-step explanation:
Translation right (or left) means change of the x-coordinate.
Translation down (or up) means change of the y-coordinate.
(3, 8) → (3+3, 8-5) = (6, 3)
your bathtub is 2 feet wide, 6 1/2 feet long, and 2 feet, 9 inches deep when full how many cubic feet of water do you need to fill your bathtub?
Answer:
35.75
Step-by-step explanation:
Alex is making chocolate cakes. For each cup of milk he uses, he needs to use 1/2 cups of flour. For each
cup of flour he uses, he needs to use 1/3 cup of cocoa powder. Alex is making enough cakes that he needs
to use 4 cups of milk. How many cups of cocoa powder does Alex need to use?
answer: 2/3 (or 0.67) cups of cocoa
Step-by-step explanation: since you need to use 1/2 cups of flour for each cup of milk you divide 4 by 2 and you get 2 then you multiply 2 by 1/3 to get your answer
at least that's what i got
Is (25, -50) a solution to the equation y = 450 + 20x
Answer:
no
Step-by-step explanation:
How
4) The U.S. Census Bureau tracks the time it takes people to travel to work.
Location
Average Travel Time (min)
United States (average)
25.5
Los Angeles, CA
29.6
Chicago, IL
35.2
New York, NY
40.0
How does the average travel time for New Yorkers compare to the United States?
a.) 14.5 minutes longer
b.) 14.5 minutes shorter
c.) 4.8 minutes longer
d.) 10.4 minutes longer
Answer:
a) 14.5 minutes longerStep-by-step explanation:
Average time for New York = 40 minutesAverage time for United States = 25.5 minutesThe difference:
40 - 25.5 = 14.5 minutesCorrect choice:
a) 14.5 minutes longerAnswer:
a.) 14.5 minutes longer
Step-by-step explanation:
the average travel time for New Yorkers compare to the United States
= 40.0 - 25.5
= 14.5 min. longer
the difference of the product of 3 and m
minus the quotient of m divided by 2
m=6
Answer:5m/2
Step-by-step explanation:
3m-m/2
(2×3m-1×m)/2
(6m-m)/2=5m/2
26.5-9.3=?
help me pls
Answer:
17.2
Step-by-step explanation:
Complete the following table for the equation.
Y=5x+7
Answer:
Values if y:
-3
2
7
12
17
22
Answer:
if y= 5x+7 answer is
-3, 4, 7, 10, 22
Step-by-step explanation:
out put = input 5x+7
the u get these answers:
-3, 4, 7, 10, 22
The point (2, 1) is a solution to which of the following systems of equations?
2x + y = 5 and −2x + y = 2
−2x − y = −5 and 2x − y = 2
−x + y = 3 and −3x + y = −5
x + y = 3 and 3x − y = 5
[tex]\huge\boxed{\left \{ {{x+y=3} \atop {3x-y=5}} \right.}[/tex]
We can solve this problem by testing the solution against each system of equations. We'll do this by substituting the point into each equation for each system.
System 1 - [tex]\Large\textbf{X}[/tex][tex]\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}2x+y&=5\\2(2)+1&=5\\4+1&=5\\5&=5\\&\checkmark\end{aligned}&\begin{aligned}-2x+y&=2\\-2(2)+1&=2\\-4+1&=2\\-3&=2\\&\text{X}\end{aligned}\end{array}[/tex]
System 2 - [tex]\Large\textbf{X}[/tex][tex]\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}-2x-y&=-5\\-2(2)-1&=-5\\-4-1&=-5\\-5&=-5\\&\checkmark\end{aligned}&\begin{aligned}2x-y&=2\\2(2)-1&=2\\4-1&=2\\3&=2\\&\text{X}\end{aligned}\end{array}[/tex]
System 3 - [tex]\Large\textbf{X}[/tex][tex]\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}-x+y&=3\\-2+1&=3\\-1&=3\\&\text{X}\end{aligned}&\begin{aligned}-3x+y&=-5\\-3(2)+1&=-5\\-6+1&=-5\\-5&=-5\\&\checkmark\end{aligned}\end{array}[/tex]
System 4 - [tex]\Large\checkmark[/tex][tex]\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}x+y&=3\\2+1&=3\\3&=3\\&\checkmark\end{aligned}&\begin{aligned}3x-y&=5\\3(2)-1&=5\\6-1&=5\\5&=5\\&\checkmark\end{aligned}\end{array}[/tex]
Since both equations in the final system are true when solved with [tex](2, 1)[/tex], the answer is the last system.
Please help me with 11
Answer:
19 minutes
Step-by-step explanation:
find the average of the 2 highest years of experience
.
f(x)=268 – 22x
The value of f(7)
11.86
422
114
-114
Answer:
114
Step-by-step explanation:
To evaluate f(7) substitute x = 7 into f(x), that is
f(7) = 268 - 22(7) = 268 - 154 = 114
Your brother tells you a secret. You see no harm in telling two friends. After this second
"passing" of the secret, 4 people now know the secret (your brother, you and two friends). If
each of these friends now tells two new people, after the third "passing of the secret, eight
people will know. Write an equation to express the "passing" of the secret. If this pattern of
spreading the secret continues, how many people will know the secret after 10 such
"passings"?
Answer:
After n passing, the total number of people knowing the secret [tex]= 2^n[/tex].
After 10 passing, 1024 peoples know the secret.
Step-by-step explanation:
Given that each friend can pass the secret to 2 people.
On 1st pass:
Total number of people knowing the secret = 1+1=2
On 2nd pass:
Total number of people knowing the secret = 1+1+1x2=4
On 3rd pass:
Total number of people knowing the secret = 1+1+2+2x2=8
This can be written as [tex]1+1+2+2^2=1+1+2+2^{3-1}=8[/tex]
Or, [tex]1+S_3=8[/tex], where [tex]S_3=1+2+2^{3-1}[/tex].
So, for the [tex]n^{th}[/tex] pass:
Total number of people knowing the secret = [tex]1+1+2+2^2+\cdots+2^{n-1}=1+S_n, where, S_n = 1+2+2^2+\cdots+2^{n-1}[/tex].
As [tex]S_n[/tex] is the sum of geometric progression of n terms having the first term, [tex]a_1=1[/tex], and the common radio [tex]r=2[/tex].
So, [tex]S_n = \frac{a_1(r^n-1)}{r-1}[/tex]
[tex]\Rightarrow S_n =\frac{1(2^n-1)}{2-1}=2^n-1[/tex].
Hence, after n passing, the total number of people knowing the secret
[tex]=1+S_n = 1+2^n-1=2^n.[/tex]
After, 10 passing, put n=10.
Total number pf peoples know the secret [tex]= 2^{10}=1024.[/tex]
Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equation h= −16t^2 + 8t + 48, where t is the time (in seconds) after he throws the marshmallow.
How long does it take the marshmallow to hit the ground, where h=0?
0.5 minutes
3 seconds
1.5 minutes
1.5 seconds
*2 seconds* answer
2 minutes
0.5 seconds
3 minutes
Sorry I don't need help
Answer:
b trust me
Step-by-step explanation:
trust
Sonja's credit card has an APR of 21%, calculated on the previous monthly
balance, and a minimum payment of 2%, starting the month after the first
purchase. Her credit card record for the last 7 months is shown in the table
below.
End of Previous New Payment Finance Principal New
month balance
charges received charges paid balance
1
$0.00
$700.00 $0.00 $0.00 $0.00 $700.00
2 $700.00 $0.00 $14.00 $12.25 $1.75
$698.25
3 $698.25
$0.00 $13.97 $12.22 $1.75 $696.50
4 5696.50 $0.00 $13.93
$12.19 $1.74 $694.76
5 $694.76 $0.00 $13.90 $12.16 $1.74 $693.03
$693.03 $0.00 $13.86 $12.13 $1.73 $691.29
7 $691.29 $0.00 $13.83 $12.10 $1.73
5689.57
O
UN
About what percentage of Sonja's payments so far have gone to paying
interest?
O A. 10%
O B. 21%
O C. 23%
O D. 87%
Answer: D 87%
Step-by-step explanation:
Ap-ex
Please show all your work!!!
Answer:
y= -6/5x -3
Step-by-step explanation:
So for now lets bring it into mx + b format
Subtract 6x from both sides to isolate y which is also called subtraction property of equality.
so 5y = -6x -15
Now you divide both sides by 5 which is called division property of equality.
You now have y = -6/5x - 3
y= -6/5x -3 is the slope intercept form of the standard form equation of 6x + 5y = -15.
Hope this helps!
An environment group invited 450 people to a fundraising event .315 people accepted the invention. What percent of the people accepted the invitation
Given:
Total number of invited people = 450
Total number of people who accept the invitation = 315
To find:
The percent of the people who accepted the invitation.
Solution:
We need to find 315 is what percent of 450.
[tex]\%=\dfrac{\text{Number of invited people - Who accept the invitation}}{\text{Number of invited people}}\times 100[/tex]
[tex]\%=\dfrac{450-315}{450}\times 100[/tex]
[tex]\%=\dfrac{135}{45}\times 10[/tex]
[tex]\%=3\times 10[/tex]
[tex]\%=30[/tex]
Therefore, 30% of the people accepted the invitation.
please help please help please help
90% of 60,000,000
Please help soon
Answer:
54000000
Step-by-step explanation:
Answer:
is 54000000
Step-by-step explanation:
I got it right
what is an expression equivalent to
4b + 5y - 3b + 8y
Answer:
b + 13y
Step-by-step explanation:
4b + 5y - 3b + 8y = 4b - 3b + 5y + 8y
I rearranged the like terms together.
4b - 3b + 5y + 8y = b + 13y
Simplify.
can someone help plz :')
Answer:
c]
Step-by-step explanation: