Answer:
It's 18
Step-by-step explanation:
30/100 x 60/1
180/100 =18
Answer:
18
Step-by-step explanation:
Here. We are going to multiply both sides of the equation by this fraction 100 over 30 100 over 30.
What is the equation in stope intercepe form of the line that passes through the points (-4.47) and (2.-16)
Answer:
[tex]y = -\frac{21}{2}x+5[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-4,47)[/tex]
[tex](x_2,y_2) = (2,-16)[/tex]
Required
The equation in slope intercept
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (-4,47)[/tex]
[tex](x_2,y_2) = (2,-16)[/tex]
So:
[tex]m = \frac{-16 - 47}{2 - -4}[/tex]
[tex]m = \frac{-63}{6}[/tex]
Simplify
[tex]m = -\frac{21}{2}[/tex]
So, the equation is calculated as:
[tex]y = m(x - x_1) + y_2[/tex]
This gives:
[tex]y = -\frac{21}{2}(x - -4) + 47[/tex]
[tex]y = -\frac{21}{2}(x+4) + 47[/tex]
Open bracket
[tex]y = -\frac{21}{2}x-42 + 47[/tex]
[tex]y = -\frac{21}{2}x+5[/tex]
For each pair of function f and g below, find f(g(x)) and g(f(x)).
a. f(x)=3/x,x=/= 0
b. g(x)=3/x, x=/=0
c. f(x)=x+4
d. g(x)=-x+4
Answer:
(a) and (b)
[tex]f(g(x)) = g(f(x)) = x[/tex]
(c) and (d)
[tex]f(g(x)) =-x + 8[/tex]
[tex]g(f(x)) = x + 8[/tex]
Step-by-step explanation:
Given
(a) to (d)
Required
Find f(g(x)) and g(f(x)) for each pair
For (a) and (b), we have:
[tex]f(x) = \frac{3}{x}[/tex]
[tex]g(x) = \frac{3}{x}[/tex]
Calculate f(g(x))
[tex]f(x) = \frac{3}{x}[/tex]
[tex]f(g(x)) = \frac{3}{g(x)}[/tex]
Substitute 3/x for g(x)
[tex]f(g(x)) = \frac{3}{3/x}[/tex]
Rewrite as:
[tex]f(g(x)) = 3/\frac{3}{x}[/tex]
[tex]f(g(x)) = 3*\frac{x}{3}[/tex]
[tex]f(g(x)) = x[/tex]
Since f(x) = g(x), then:
[tex]f(g(x)) = g(f(x)) = x[/tex]
For (c) and (d)
[tex]f(x) =x + 4[/tex]
[tex]g(x) =-x + 4[/tex]
Solving f(g(x)), we have:
[tex]f(x) =x + 4[/tex]
[tex]f(g(x)) =g(x) + 4[/tex]
Substitute [tex]g(x) =-x + 4[/tex]
[tex]f(g(x)) =-x + 4 + 4[/tex]
[tex]f(g(x)) =-x + 8[/tex]
Calculating g(f(x))
[tex]g(x) =-x + 4[/tex]
[tex]g(f(x)) = -f(x) + 4[/tex]
Substitute: [tex]f(x) =x + 4[/tex]
[tex]g(f(x)) = x + 4 + 4[/tex]
[tex]g(f(x)) = x + 8[/tex]
There are 4 roses for every 7 carnations in a bouqeuet. Mr rodriguez buys a bouqeuet with 12 roses in it. How many total flowers are in the bouqeuet Mr rodriguez bought?
Please explain step by step I dont get it.
Answer:
33 total flowers are in the bouquet Mr Rodriguez bough
Step-by-step explanation:
So for every 4 roses there are 7 carnations meaning the ratio is 4:7
4 times x = 12
x=3
So we do the same for carnations
7 x 3 = 21
Now we add to find the total
21+12=33
33 total flowers
A bicycle is originally priced at $60. The online retailer gives a discount and the bicycle is now priced at $42. Enter the percentage discount for the cost of the bicycle.
Answer:
30% ywww
Step-by-step explanation:
What angle is vertical to angle 2?
Answer:
Answer: a = 140°, b = 40° and c = 140°
Step-by-step explanation:
Angles a° and c° are also vertical angles, so must be equal, which means they are 140° each. Answer: a = 140°, b = 40° and c = 140°. Note: They are also called Vertically Opposite Angles, which is just a more exact way of saying the same thing.
sin(30°)cos(45°) + cos(30°)sin(45°)
Step-by-step explanation:
sin(30°)cos(45°) + cos(30°)sin(45°)=1+√3/2√2
This is not a question it’s just for those who need an answer for questions for 3-1 lesson quiz in savvas for 6th grade math. Feel free to use the answer in the following photos below
Answer:
thank you very much, this will be of much help
how to solve by factoring
x^2 + x = 0
Answer:
x=0 and x=-1
Step-by-step explanation:
Given: x^2+x=0
Factor: x(x+1)=0
Use Zero Product Property: x=0 and x+1=0
Therefore, x=0 and x=-1
The population of a city has increased by 33% since it was last measured. If the current population is 26,600, what was the previous population?
Answer:
26600 - 33 = 26566
Step-by-step explanation:
sum
Answer:
17,420
Step-by-step explanation:
you multiply 26,000 by .33 which gets 8,580
then subtract 8,580 from 26000 which is 17420
7n - 4 (8n+4) = 159
Answer:
n = -7
Step-by-step explanation:
Use distributive property:
7n - 32n - 16 = 159
Combine like terms
-25n - 16 = 159
Add 16 to both sides to isolate variable n
-25n = 175
Divide both sides by -25 to isolate variable n
n = -7
Check your work:
7(-7) - 32(-7) - 16 = 159
-49 + 224 - 16 = 159
159 = 159
find the gradient of the line
with the equation 3x+4y=10
A LOT OF POINTS!!
Suppose you borrow $40,000 at 13% APR for a 12-year term to be paid monthly. Your monthly payment is $450.00.
How much of your first payment goes toward interest?
Make sure you show your work to earn full credit.
Answer:
You get $45,200 first with interest with the 5400 you made in 1 year that dedeucts
Step-by-step explanation:
Pam and her grandma are planning to make a quilt together. The quilt will be made out of fabric squares that measure 6 inches on each side. The quilt will have 3 more squares along its longer edge than it will have along its shorter edge.
If there are x fabric squares along the quilt's shorter edge, find an expression for f(x), the length of the quilt's shorter edge in inches.
f(x)=
6x
Next, find an expression for g(x), the length of the quilt's longer edge in inches.
g(x)=
Which function can you use to find the area of the quilt in square inches?
Answer:
There are x squares on the shorter side, each square measures 6 inches.
The length of the shorter side is:
f(x) = x*6 = 6xThe length of the longer side is:
g(x) = (x + 3)*6 = 6x + 18The area of the quilt is:
A = 6x(6x + 18) = 36x² + 108xwhat is the area of a right triangle with sides 7ft 24ft and 25ft?
Answer:
84 ft^2
Step-by-step explanation:
[tex] \frac{7 + 24 + 25}{2} = 28[/tex]
The area is:
[tex] \sqrt{28 \times (28 - 7) \times (28 - 24) \times (28 - 25)} [/tex]
[tex] = 84 \: {ft}^{2} [/tex]
Help with the question plz people
You are cheating. I see this is a test.
-A sequence is a list of numbers or obje
What is a pattern?
-A pattern is a repetitive sequence and
numbers and almost everywhere you ca
What's More
A. Directions: Give the pattern rule of t
Rul
1. 1, 4, 7, 10, 13
2.2, 8, 32, 128, 512
Rul
Answer:
1. Add 3
2. Multiply 4
Step-by-step explanation:
Given
[tex](1)\ 1, 4, 7, 10, 13[/tex]
[tex](2)\ 2, 8, 32, 128, 512[/tex]
Required
The rule
[tex](1)\ 1, 4, 7, 10, 13[/tex]
This is a linear function because successive terms have a common difference
The common difference between each term is:
[tex]d = 4 - 1 = 3[/tex]
[tex]d = 7 - 4 = 3[/tex]
[tex]d = 10 - 7 = 3[/tex]
[tex]d = 13 - 10 = 3[/tex]
The above shows that 3 is [tex]added\ to\ each\ term[/tex] to get the next term.
Hence, the rule is: Add 3
[tex](2)\ 2, 8, 32, 128, 512[/tex]
This is a geometric function because successive terms have a common ratio
The common ratio between each term is:
[tex]r = 8/2 = 4[/tex]
[tex]r = 32/8 = 4[/tex]
[tex]r = 128/32 = 4[/tex]
[tex]r = 512/128 = 4[/tex]
The above shows that 4 [tex]is\ multiplied\ to\ each\ term[/tex] to get the next term.
Hence, the rule is: Multiply 4
PLEASE GIVE ME AN ANSWER!!!!ILL MARK BRAINLIEST ANSWER
Answer:
3 3/4
Step-by-step explanation:
3.75 square ft per hr.
5/8 x 6 = 3.75
ii need help real quick !!
Answer:
I'm confused what the question is. I think you might have attached the wrong picture
Rewrite the function by completing the square. 2x^2 - 9x + 7 = 0.
Answer will look like this: (x + ____)^2 = ____
I need the blanks, any help?
Answer:
9=5
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x²-9x+7=0
2x²-9x=-7
x²-9/2 x +(-9/4)²=-7+(-9/4)²
(x-9/4)²=-7+81/16=(-112+81)/16=-31/16
(x+(-9/4))²=-31/16
0.4 divided by 29 BRAINLIEST
the answer for your question is 0.0137
SAT scores: The College Board reports that in 2009, the mean score on the math SAT was 582 and the population standard deviation was =σ120. A random sample of 20 students who took the test in 2010 had a mean score of 515. Following is a dotplot of the 20 scores. (a) Are the assumptions for a hypothesis test satisfied? Explain. (b) If appropriate, perform a hypothesis test to investigate whether the mean score in 2010 differs from the mean score in 2009. Assume the population standard deviation is =σ120. What can you conclude? Use the =α0.10 level of significance and the critical value method.
Answer:
we can conclude that there is no significant evidence to conclude that the mean score in 2010 differs from the mean score in 2009.
Step-by-step explanation:
H0 : μ = 582
H1 : μ < 582
Test statistic :
T = (xbar - μ) ÷ σ/√n
Xbar = 515 ; n = 20 ; σ = 120
T = (515 - 582) ÷ 120/√20
T = -67 / 26.832815
T = 2.50
Pvalue at t score = 2.50 ; df = 19 is 0.0187
At α = 0.0187
Pvalue > α ; Hence, we fail to reject the Null
Hence, we can conclude that there is no significant evidence to conclude that the mean score in 2010 differs from the mean score in 2009.
PLEASE HELP
will mark brainliest
Answer:
Option B
[tex]A'(5,5)[/tex]
[tex]B'(5,1)[/tex]
[tex]C'(2,1)[/tex]
[tex]D'(1,5)[/tex]
[tex]----------[/tex]
hope it helps...
have a great day!!
If Mike loses $5 per week, how much does he lose in 4 weeks?
Answer:
$ 20Step-by-step explanation:
[tex]1week \: = 5 \\ 4 \: weeks = x \\ \\ x = 20[/tex]
hope this helps you.
Can I have the brainliest please?
Have a nice day!
what is the shape identify in the image
Answer:
it is a triangular prism
What is the theoretical probability that the spinner below will land on 6 if someone spins it 48 times?
Answer:
1/4 or 12*
Step-by-step explanation:
There are 8 possibilities. 2 of them are 6.
2/8=1/4
1/4 of 48 is 12
*The theoretical probability doesn’t change no matter how many times you spin the spinner. It will always be 1/4. (Or 0.25, or 25%). That could be what they’re asking. If you spun it 48 times, it would probably land on a six 12 times. That could also be what they’re asking for. 12:48 = 1:4.
Kristin charges $30 to train a small dog, and $50 to train a big dog. If Kristin trains 15 small dogs and 6 big dogs, how much money will she make?
Answer:
$750
Step-by-step explanation:
We can set up the equation 30x + 50y = z where x = the amount of small dogs, y = the amount of big dogs, and z = the total.
After plugging in the x and y values to solve for z, we are left with the following equation:
30(15) + 50(6) = 750
I really need to go to the store. I bought an 80 ounce container of orange juice. Right now, there's only 4 ounces left. What percent of the orange juice is left? If you're ever at my house, help yourself to the stull in my fridge.
Answer:
There is 5% of the juice left.
Step-by-step explanation:
We know that originally, the container had 80 oz of orange juice, this is the 100% in our case.
Then we can write a relation:
80 oz = 100%
Now there are 4 ounces left, in the same way than before, we can write this as:
4 oz = X%
We want to find X%
First, let's write our equtions:
4 oz = X%
80 oz = 100%
We can take the quotient between these two equations to get:
(4oz/80oz) = (X%/100%)
We need to solve this for X%, then we get:
(4oz/80oz)*100% = X% = 5%
This means that 4 oz is 5% of the initial volume of the juice container.
Then we can conclude that there is 5% of the juice left.
In sixteen years Paul will be 48 years old.
How old is he now?
Answer:
32 years old
Step-by-step explanation:
48-16=32
Answer:
Paul is 32 years old
Step-by-step explanation:
48 - 16 = 32
8% of $796.25 is how much?
8/100*796.25
=63.7%
Answer:63.7%
Answer: Hello, there! your Answer is below
63.7 would Be the correct answer
Step-by-step explanation: Below Is Info About How to Calculate Precentage UwU
how to calculate percentage of a number. Use the percentage formula: P% * X = Y
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
Tinisha is planning a birthday party. She can buy:
10 balloons, 8 cupcakes, and 8 hats for $50
5 balloons, 9 cupcakes, and 7 hats for $46, or
12 balloons, 7 cupcakes, and 9 hats for $51
Using b for the number of balloons, c for the number of cupcakes, and h for
the number of hats, write a system of equations to represent this situation.
Answer:
b+c+h=50
Step-by-step explanation:
Its the first one because you need to have the same amount of hats as cupcakes cause the hat really stands for people.