Answer:
k = 18
Step-by-step explanation:
Given
f(x) = [tex]\frac{2}{5}[/tex] x + k
f(- 15) = 12 , then
[tex]\frac{2}{5}[/tex] × - 15 + k = 12 , that is
- 6 + k = 12 ( add 6 to both sides )
k = 18
In the school band, there is 1 boy for every 5 girls. There is a total of 12 boys. How many girls are in the band?
Answer:
60
Step-by-step explanation:
5 times 12
Solve the following inequality for g. Write your answer in simplest form.
-5-3(5g-4)≥2g+6-10
Answer:
[tex]g\leq \frac{11}{17}[/tex]
Step-by-step explanation:
[tex]-5-3(5g-4)\geq 2g+6-10\\-5+(-15g+12)\geq 2g-4\\-5+(-15g)+12\geq 2g-4\\7-15g\geq 2g-4\\7\geq 17g-4\\3\geq 17g\\\frac{11}{17} \geq g\\g\leq \frac{11}{17}[/tex]
The value of g in the given inequality -5-3(5g-4) ≥ 2g+6-10 is equal to or less than 11/17, g ≤ 11 / 17
What is an inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given is an inequality -5-3(5g-4) ≥ 2g+6-10
Solving for g,
-5-3(5g-4) ≥ 2g+6-10
-5-15g+12 ≥ 2g+6-10
-15g+7 ≥ 2g-4
7 ≥ 17g -4
11 ≥ 17g
11 / 17 ≥ g
g ≤ 11 / 17
Hence, the value of g is equal to or less than 11/17, g ≤ 11 / 17
Learn more about inequality, click;
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8 increased by the sum of t and 3
Answer:
8+(t+3)
Step-by-step explanation:
the sum is when you add two numbers together. so you would add t with 3 and out it in parentheses so you make sure that happens first. then you add it to 8 since 8 is being increased by the sum.
describe how to find the sums -4 + 2 and -4 + (-2) on a number line
Answer:
For -4, the arrow from zero goes 4 points to the left. Add two more.
Step-by-step explanation:
Answer:
-4 + 2 = -2 and -4 + (-2) = -6
Step-by-step explanation:
-4 + 2 = -2
On the number line,start at zero
Do 4 jumps to the left (you are at -4)
Then do 2 jumps to the right You are at -2
-4 + (-2) = -6
On the number line,start at zero
Do 4 jumps to the left (you are at -4)
Then do 2 more jumps to the left You are at -6
Can someone please
Help
Answer:
Angle 1- 130 degrees
Angle 3- 130 degrees
Angle 5- 50 degrees
Angle 6- 130 degrees
Step-by-step explanation:
Okay so. Angle 1 and 2 are on the same horizontal line. A line is 180 degrees. If two is 50 degrees then you subtract 50 from 180. Angles 2 and 4 are diagnol, which means that they are congruent, aka, the same, as are angles 1 and 3. 5678 and 1234 are the same. 1=8 2=5 3=6 and 4=7.
What is the value of m in the equation 0.04m - 1.6 = -0.8
Answer:
m=20
Step-by-step explanation:
0.04m=0.8 (Isolate the variable by adding 1.6 to both sides)
m=20 (Divide by 0.04 on both sides)
Which of the following is a graph of y < x + 3?
It has to be between B, D please help its easy, but its confusing
Answer: it’s D :)
Step-by-step explanation: I was wondering if you could help me with my recent chemistry question I’ve posted it over and over and nobody answered it seriously they only say random stuff for points or search it up but it’s not the right answer.. please help me if not that’s fine.
3 7 11 15 19
Work out the 8th term of the number sequence.
Write down an expression, in terms of n, for the nth term of the number
sequence.
Answer:
31 n
Step-by-step explanation:
I believe this is the answer because the number sequence that you have is 8, 7, 11, 15, and 19 correct?
okay so since you have those numbers take your first dumber and add it by 4 and you keep doing that till you get your 8th term and I put your eighth term above to make it easier for you .
if any one answer this question i will give them brainliest
Calculate the correct solution to the equation -5x = -45
A:
x = -9
B:
x = 9
C:
x = 1/9
D:
x = -1/9
Answer:
x =9
Step-by-step explanation:
-5x = -45
Divide both sides by -5:
x = 9
Answer:
The answer is B X=9
Step-by-step explanation:
Divide each term in
9) p(a) = a) – 3a; Find p(-2)
A) 18
B) 198
C) -110
D) -2
Will give brainliest if correct.
Answer:
X Intercept: (6,0)
Y Intercept: (0,2)
Step-by-step explanation:
Plug y = 0 into the equation and solve the resulting equation −3x = −18 for x. Plug x = 0 into the equation and solve the resulting equation −9y = −18 for y.
can someone pretty please help me? I will mark brainiest
Answer:
11 hours remains
Step-by-step explanation:
Answer:
11 hours remaining
Step-by-step explanation:
11 hours remaining
The graph of the equation = 3 − 4
y=3x-4 is shown. What statement is true about every point on the graph?
Answer:
16
um belo dia abençoado
Kim was elected class president. She received 3 voted for every 2 that Amy got. No one else ran. However, if 8 of the people who voted for Kim had voted for Amy instead, Kim would have received only 1 vote for every 2 that Amy would have gotten. How many people voted?
HeLPPPPp!!! The area of a square is numerically equal to three times its perimeter. Find the length of a side of the square.
Remember to only enter a number.
Answer:
12 Units
Step-by-step explanation:
Area of square = A^2
3 times its perimeter = 3(4A)
A^2= 12A
A=12
Mr. Lopez picks up 2 pallets of dog food to deliver to the animal shelter. Each pallet contains 80 bags of dog food, and the dog food weighs 37 1/2 pounds per bag. What is the total weight, in tons, of the dog food Mr. Lopez delivers to the animal shelter?
Answer:
3 tons
Step-by-step explanation:
What would you do in order to write 1/5x +
1/3y = 9 in standard form?
Mike had $8.25 in his account. He deposited $2.25 on Tuesday. He then withdrew $5.75 for lunch on Wednesday. How much money does Mike have left in his account.
Show your work on how you got your answer
Answer:
$4.75
Step-by-step explanation:
(had) 8.25 + (deposited) 2.25 = (total) 10.50
10.50 - (withdrew) 5.75 = (total left) 4.75
Answer:
$4.75
Step-by-step explanation:
(Deposit: Add, put in/Withdraw: subtract, take out)
Add $8.25 + $2.25 and you get $10.50. Now subtract that number with $5.75, so $10.50 - $5.75 is a total of $4.75. Mike has $4.75 left in his account.
prove that cotx + coty = sin(x+y)/sin x sin y
Answer:
change L.H.S in terms of sin and cos
Step-by-step explanation:
so we know cot x= cos x/sin x. so similarly we have cot y = cos y / sin y. since we have our cot in terms of cosine and sine, get a L.C.M and solve it further.
-2/3d -1/4d= -22 for d
Please help I am dumb!!
Answer:
ok so the answer is d = 24
Step-by-step explanation:
happy to hellp!
Use the information to answer the following question.
A car travels at a rate of 45 miles per hour for 5 hours. Let y be the distance, in miles, the car travels for a given amount of time, x, in hours. This situation can be modeled by a function.
What is the domain of the function?
A.
0 ≤ y ≤ 45
B.
0 ≤ x ≤ 5
C.
0 ≤ y ≤ 5
D.
0 ≤ x ≤ 45
9514 1404 393
Answer:
B. 0 ≤ x ≤ 5
Step-by-step explanation:
The domain refers to the useful values of x. Since we're only concerned with time in the interval of 0 to 5 hours, the suitable domain is ...
0 ≤ x ≤ 5
Find the values of x and y
Answer:
x = 90 y = 45
Step-by-step explanation:
Answer:
x = 90y= 43Step-by-step explanation:
it is an isocelous triangle thus angle CBA=47 By using ASP Y will be 43
Plz help me again with this math stuff -_-
Answer:
152cm^2
Step-by-step explanation:
The australain sheep dog is breed renowned for its intelligence and work ethic it is estimate that 45% of adult australian sheep dogs weigth 65pounds or more asample of 15 adult dogs is studied what is the probalilty that more than 12 of them weigh 65 lb
Answer:
The probability is 0.0011 to 4 d.p
Step-by-step explanation:
Let p = probability of the dog weighing more than 65 pounds or more = 45% = 45/100 = 0.45
q is weighing less than = 1-p = 1 - 0.45 = 0.55
So the probability of more than 12 weigh 65 lb
That means 13, 14 or 15 weigh more than 65 lb
We can use Bernoulli approximation of Binomial distribution to get this;
That would be ;
15 C 13 0.45^13 0.55^2 + 15 C 14 0.45^14 0.55 + 15 C 15 0.45^15 0.55^0
= 0.001107024147 Which is approximately 0.0011 to 4 decimal place
15. The table below shows the number of rectangular tiles needed to
cover square shaped floors with certain side lengths. If the number of
tiles is proportional to the area of the floor, how many tiles would be
needed for a square shaped floor with a side length of 9 feet?
Answer:
the answer is b or c ;)
Step-by-step explanation:
5) A rectangular box 25cm by 20cm by 15cm internally is made of wood
0.5cm thick. If the box has a lid, find the volume of the wood used in cm'.
Answer:
The volume of the wood used is [tex]1,116\ cm^3[/tex]
Step-by-step explanation:
The Volume of a Rectangular Cuboid
In a rectangular cuboid, all angles are right, and the opposite faces are equal.
The volume of a cuboid of dimensions a,b,c is:
V=a.b.c
The rectangular box is made of wood with externals dimensions of 25 cm by 20 cm by 15 cm.
The external volume of the box is:
[tex]V_e=(25)*(20)*(15)=7,500\ cm^3[/tex]
The walls of the box are 0.5 thick each, this means that the internal dimensions are 1 cm less than the external dimensions, including the lid.
Thus the internal volume is:
[tex]V_i=(24)*(19)*(14)=6,384\ cm^3[/tex]
The volume of the wood used is the difference between the external and the internal volumes:
[tex]V_w=7,500\ cm^3-6,384\ cm^3=1,116\ cm^3[/tex]
The volume of the wood used is [tex]\mathbf{1,116\ cm^3}[/tex]
is Amber your name? nklnlllnjlklklnklklklnklnklnklnklnklnlklkklnlknklnklnklnklnklnklnklnkl
Answer:
No, but my friend's name is amber
Step-by-step explanation:
(sinA + cosA)/ (secA + cosecA) = sinA* cosA
Answer:
Proof below
Step-by-step explanation:
Trigonometric Identities
We'll prove that:
[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\sin A*\cos A[/tex]
Recall:
[tex]\displaystyle \sec A =\frac{1}{\cos A}[/tex]
[tex]\displaystyle \csc A =\frac{1}{\sin A}[/tex]
Applying those definitions:
[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\frac{\sin A+\cos A}{\frac{1}{\cos A}+\frac{1}{\sin A}}[/tex]
Adding the fractions:
[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\frac{\sin A+\cos A}{\frac{\sin A+\cos A}{\cos A*\sin A}}[/tex]
Dividing the fractions:
[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=(\sin A+\cos A)*\frac{\cos A*\sin A}{\sin A+\cos A}[/tex]
Simplifying:
[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\cos A*\sin A[/tex]
Hence proved
Tickets to a baseball game cost $22 each and parking costs $10. What is the equation of the line that represents the cost of attending the game?
y-22=10x y=22x-10 y=22x+10 22x+y=10
Rahul has a farm he wishes to fence. The farm is the pentagon ABCDE, shown below. He knows that ABCD is a 140 m by 150 m rectangle, as shown below. He also knows that E is 50 m from the side AB and 30 m from the side BC. Determine the length of AE, the length of DE, and the perimeter of pentagon ABCDE.
Answer:
How do you except me to know
Step-by-step explanation:
Bruh I came here to find the Awnser not to actually work for it
