Answer:
Well I mean There are multiple solutions I think, a = 26.25
Step-by-step explanation:
Simplifying
12a + 7c = 315
Solving
12a + 7c = 315
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-7c' to each side of the equation.
12a + 7c + -7c = 315 + -7c
Combine like terms: 7c + -7c = 0
12a + 0 = 315 + -7c
12a = 315 + -7c
Divide each side by '12'.
a = 26.25 + -0.5833333333c
Simplifying
a = 26.25 + -0.5833333333c
[tex]12a+7c=315\\\\\implies 12a = 315-7c\\\\\implies a = \dfrac{315-7c}{12}\\\\\implies a = \dfrac{7}{12}(45-c)[/tex]
How many ways are there to choose a soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the players are chosen from 9 forwards, 7 midfield players, and 7 defensive players?
Using the combination formula, it is found that there are 37,044 ways to form the soccer team.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem:
3 forwards are taken from a set of 9.4 midfielders are taken from a set of 7.3 defenders are taken from a set of 7.Since they are independent of each other, the total number of combinations is given by:
[tex]T = C_{9,3} \times C_{7,4} \times C_{7,3} = \frac{9!}{3!6!} \times \frac{7!}{3!4!} \times \frac{7!}{3!4!} = 37,044[/tex]
There are 37,044 ways to form the soccer team.
More can be learned about the combination formula at https://brainly.com/question/25821700
#SPJ1
What is Slope for y= -x - 3
Answer: -1
in a function:
f(x) = mx + b
or
y = mx+ b
y=f(x) so,
y = -(1) x - 3
m=slope --------
x=x-coordinate
b=y-intercept
Find the formula for an inverse proportion, knowing that its graph goes through the point: A(8, 0.125) PLEASE EXPLAIN WELL! THANK YOU
The formula for the given inverse proportion is:
y = 1/x
How to get the formula of the inverse proportion?
The general formula of an inverse proportion is written as:
y = k/x
Where k is the constant of proportionality.
In this case, we know that the point (8, 0.125) belongs to the graph, then replacing these values on the general formula we get:
0.125 = k/8
Solving for k we get:
0.125*8 = k = 1
Then the inverse proportion is:
y = 1/x
If you want to learn more about inverse proportions, you can read:
https://brainly.com/question/17447335
a ratio is a comparison of two number in the dame unit.A ratio can be expressed
A. As a fraction
B. Using words
C. With a colon
D. All of the above
Answer:
D
Step-by-step explanation:
I have learned this in the past and did some research
Johnson cut a round pizza into 12 equal pieces. He ate 4 adjacent pieces. What is the measure of the angle of the pizza that Johnson ate?
A.
48°
B.
90°
C.
120°
D.
160°
Answer:
C 120 degrees
Step-by-step explanation: 3 times 4 equals 12 so if 4 peices are eaten then there is only 2/3 left so theres only 240 degrees left of the pizza so we take 360 minus 240 we get 120 so there is 120 degrees of pizza eaten by johnson.
Find the value of x.
(3x + 67)
130°
记
x = [?]°
Enter
For every 100 families with TV sets, about 12 families like
watching sports. In a town of 23,400 families who all have TV sets, how many families would you expect to like watching
sports?
Answer:
2808 families
Step-by-step explanation:
23400/100 = 234
234*12 = 2808
Old Navy has a sale on $15 shirts: buy 3
and get 40% off. How much would 3
shirts cost on sale?
The amount that the would be paid after 40% discount is $27
Word ProblemGiven Data
Cost of a shirt = $15Discount = 40%Let us find the cost of three shirt
= 15*3
= $45
Let us find 40% discount of $45
= 40/100*45
= 0.4*45
= $18
Let us find the amount after discount
= 45-18
= $27
Learn more about word problem here:
https://brainly.com/question/25693822
help me pls i need help
Answer:
Step-by-step explanation:
Habits can be changed. This is shown in the text when it says "Know you can do it."
Hope this helped!
Help help help help math math
Answer: y = -1
Step-by-step explanation:
Any vertical line's equation is 'y ='
You would get -1 by looking at the line's position on the y-axis
Hope that helps!
PLEASE HELP WILL MARK BRAINLIEST
Answers:
1,
3,
4
Step-by-step explanation:
An astronaut drops a hammer on the Moon as part of an experiment. Before the drop, he raises the hammer by a height of 1 m, which increases its gravitational potential energy by 1.2 J. The mass of the hammer is 0.75 kg. Calculate the gravitational field strength on the Moon.
Answer:
1.6 N/kg
Step-by-step explanation:
The units of gravitational field strength are newtons per kilogram. The joule is a derived unit equivalent to a newton·meter.
Then the field strength is ...
newtons/kg = (1.2 N·m)/((1 m)(0.75 kg)) = 1.6 N/kg
What is the best estimate of 687 × 391?
Answer:
258,620
Step-by-step explanation:
687 x 391 = 268,617
You keep the 268 part but instead of 617 it is 620.
PLEASE HELP PLEASE PLEASE
Answer:
A. March
Step-by-step explanation:
You can tell by subtracting the tallest bar in the month from the shorter one, and seeing which number is bigger out of all of them.
Hope this helped :)
Answer:
A. March
Step-by-step explanation:
March:
10 - 2 = 8
April:
14 - 10 = 4
May:
18 - 16 = 2
June:
16 - 16 = 0
From this data, we can see that March has the largest difference in the amount of money between year 1 and year 2.
Sammy counts the number of people in one section of the school auditorium. He counts 18 girls, 24 boys, and 8 adults. There are 650 people in the auditorium. What is the probability that one person selected at random is an adult?
Translate the following:
"five less than the quantity of a number plus one”
A: x-5+1
B: 5-x+1
C: (x+1)-5
D: 5-(x+1)
Answer:
Option A, x - 5 + 1
Step-by-step explanation:
Step 1: Convert sentence into an expression
Five less than the quantity of a number plus one
(quantity..x - 5) + 1
x - 5 + 1
Answer: Option A, x - 5 + 1
If 10Px=5040, then find the possible value of x
Answer:
504 Paise
Step-by-step explanation:
10x = 5040
x = 5040/10
x = 504
WHAT DO I DO I NEED HELP
explain
...................
This is easy....
First, the frequency is how many times a number or certain value in a set of data appears...
So basically, its asking you for the number of times that a number in between 0 and 9 appears in the data set:
23, 15, 18, 11, 30, 32, 47, 5, 9, 10, 0, 34, 39, 49, 9
To make this easier, we can put them in numerical order.
0,5,9,9,10,11,15,18,23,30,32,34,39,47,49
Now, just single out the numbers before 10.
0,5,9,9
4 numbers, so its 4. The number of times a number between 0 and 9 appears in the data set is 4. That goes in the Frequency side...
Do you understand it better now?
Let me know if you need more help! :)
Please help ASAP!!
I'll mark brainliest!!!:)
what polynomial must be added to 3xsquared + 4x+7 to obtain a sum of zero
The polynomial which must be added to 3x² +4x + 7 to obtain a sum of 0 is; -3x² -4x +7.
Let the polynomial which must be added to 3x² +4x + 7 to obtain a sum of 0 be represented by P.
In essence;
P + 3x² +4x + 7 = 0.By subtracting 3x² +4x + 7 from both sides of the equation to obtain the value of P; we have;
P = 0 -3x² -4x +7.Ultimately, P = -3x² -4x +7.
Read more on polynomials;
https://brainly.com/question/2833285
If the surface area of a cube is 54 cm2, how long is each side?
⭐ Question 1
Is this statement true or false?
9 × (8 - 7²) ÷ 5
Has more than two solutions.
Answer:
WRONG
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
You use PEDMAS - priority of calculation
1) Paranthesis
2) Exponents
3) Divide or Multiple (whichever comes first, reading left to right)
4) Add or Subtract (whichever comes first, reading left to right)
Also, there are no unknowns, all numbers are known so no chance of having multiple answers.
Please help with math problem in photo (area of a circle)
Answer:
4 is you answer
Step-by-step explanation:
I think.
Hope you get smarter
Giving out a free brainliest!
If you have 30 amiibos and divide it into 5 how many amiibos will you get in each column?
Answer:
6
Step-by-step explanation:
divide 30 by 5 to get the answer
30÷5=6
Please help! I cant seem to solve any of my problems
Ms. Cunningham is cooking 4 packages of noodles for her kids' lunches. Each package of noodles calls for 400 milliliters of water. How many liters of water will Ms. Cunningham use in all?
The roller coaster has a mass of 600 Kg speeds up to 22 m/s as it goes down a giant hill. Calculate the kinetic energy. SHOW WORK!
Answer:
145.2 kJStep-by-step explanation:
Kinetic Energy formula
K.E. = 1/2mv², where :m = massv = velocitySubstituting the given values
K.E. = 1/2 x 600 x (22)²K.E. = 300 x 484K.E. = 145200 JK.E. = 145.2 kJAnswer:
145,200 J
Step-by-step explanation:
The formula to calculate kinetic energy is [tex]K=\frac{1}{2}mv^{2}[/tex], where K is the kinetic energy in Joules, m is the mass in kg, and v is the velocity in m/sSubstitute in the values[tex]K=\frac{1}{2}\times 600\times 22^{2}[/tex][tex]K=\frac{1}{2}\times 600\times 484[/tex][tex]K=\frac{1}{2}\times 290400[/tex][tex]K=145200[/tex]Solving a One-Variable Linear Equation
Answer:
[tex]\Longrightarrow:\boxed{\sf{h=14}}[/tex]
Step-by-step explanation:
Isolate the term of h from one side of the equation.
Use the distributive property.
Distributive property:
→ A(B+C)=AB+AC
7h-5(3h-8)=-72First, multiply expand.
⇒ -5(3h-8)
⇒ -5*3h=-15h
⇒ -5*8=40
Rewrite the problem.
→ -15h+40
⇒ 7h-15h+40=-72
⇒ 7h-15h=-8h
→ -8h+40=-72
Subtract by 40 from both sides.
⇒ -8h+40-40=-72-40
Solve.
⇒ -72-40=-112
⇒ -8h=-112
Then, you divide by -8 from both sides.
⇒ -8h/-8=-112/-8
Solve.
Divide the numbers from left to right.
→ -112/-8=14
[tex]\Longrightarrow: \boxed{\sf{h=14}}[/tex]
Therefore, the correct answer is h=14.I hope this helps! Let me know if you have any questions.
Help help help help help
Answer:
z = 7
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable.
Identify the like terms: 5x, 6, 8yz, -2w
Hey there!
IDENTIFYING the LIKE TERMS OF….
5x, 6, 8yz, & -2w
Unfortunately, you don’t have any like terms because NONE of the terms don’t have anything alike with them.
Here’s examples of like terms (we will use the values you have listed above)
• 5x & -4w would give you 1x or simply x
• 6 - 2 would give you 4
• 8yz - 4yz would give you 4yz
• -2w - 1w would give you -3w
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)