Answer:
[tex]\huge\boxed{\sf x = 26}[/tex]
Step-by-step explanation:
The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.
So, we get:
(48 - x) + (3x - 10) = 90
48 - x + 3x - 10 = 90
-x + 3x - 10 + 48 = 90
2x + 38 = 90
2x = 90 - 38
2x = 52
Divide both sides by 2
x = 52 / 2
x = 26
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
Step-by-step explanation:
x=26
The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.
So, we get:
(48 - x) + (3x - 10) = 90
48 - x + 3x - 10 = 90
-x + 3x - 10 + 48 = 90
2x + 38 = 90
2x = 90 - 38
2x = 52
Divide both sides by 2
x = 52 / 2
x = 26
Hope this helped!
Jamie joined the marching band. To pay for a uniform, he borrowed $120 for 3 months with 6% interest per month. What was the total cost of Jamie’s uniform?
Answer:
$142.92
Step-by-step explanation:
120 * 1.06^3 = 142.92192
Maggie has a collection of 1,200 Pennies. Of these, 25% are dated before 1980, 35% are dated from 1980-2000.and the rest are dated after 2000
How many pennies in Maggie's collection are dated after 2000?
A 480 B 720 C 40 D 60
Answer:
A- 480
Step-by-step explanation:
First, I'm going to work out 25% of 1200 for the before 1980 pennies.
10% = 120
20% = 240
5% = 60
240 + 60 = 300 pennies before 1980.
Next, work out 35% of 1200 instead.
20% = 240
+ 10%
30% = 360
+ 5% = 60
35% = 420 pennies from 1980-2000
Finally, work out how many pennies are leftover.
300 + 420 = 720
1200 - 720 = 480
A is the answer.
Hope this helps and have a good day!
which multipilcation expression is equal to 2 over 5 divided by 2 over 3
Answer:
2/5 × 3/2
Step-by-step explanation:
PLEASEEEE WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!!!!!!!!!
Find the solution of the system of equations.
-2x-6y=50
-2x+9y=-40
Answer:
i think x = -7, y = -6
Step-by-step explanation:
good luck
How i can answer this question
Answer:
2a + 7
Step-by-step explanation:
2a + 6 + 1 ← collect like terms
= 2a + (6 + 1)
= 2a + 7
2/7x9 in simplest form
Answer:
2/63
Step-by-step explanation:
I'm going to assume that the x is a multiplication symbol.
7 x 9 = 63
Therefore, the simplest form would be 2/63
Question 1
Part a) 9 Athletes are running the 200M event. How many ways can the first three finishers be awarded medals? Show your work using the Permutation or Combination formula for full credit.
Part b) You have 10 photos to arrange in an art gallery, where there are 5 spaces to place them. How many ways can they be arranged? Show your work using the Permutation or Combination formula for full credit.
Part c) Write an original word problem of your own creation that uses a combination and the numbers 8 and 4. Also state the solution. You may not use a pizza-themed scenario.
Using the permutation and the combination formula, we have that:
a) The first three finishers can be awarded medals in 504 ways.
b) They can be arranged in 252 ways.
c) In how many ways can 4 students form a team from a set of 8.
If the order is important, the permutation formula is used.If the order is not important, the combination formula is used.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]
Permutation formula:
The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Item a:
Order is important, as the finishers are ranked, hence:
[tex]P_{(9,3)} = \frac{9!}{6!} = 504[/tex]
The first three finishers can be awarded medals in 504 ways.
Item b:
The order is not important, hence:
[tex]C_{10,5} = \frac{10!}{5!5!} = 252[/tex]
They can be arranged in 252 ways.
Item c:
Situation in which the order is not important, hence, for example, in how many ways can 4 students form a team from a set of 8.
For more on permutation/combination, you can take a look at https://brainly.com/question/25247153
Some information about a direct variation is given in the table below. If the equation
of this direct variation is y = kx , find the coefficient k and fill in the missing
information.
Answer:
Step-by-step explanation:
y = kx ;
k = [tex]\frac{y}{x}[/tex] ; x = [tex]\frac{y}{k}[/tex]
~~~~~~~~~~~~~
k = [tex]\frac{1}{2}[/tex] ÷ 1 = [tex]\frac{1}{2}[/tex]
[tex]y_{1}[/tex] = [tex]\frac{1}{2}[/tex] × ( - 8 ) = - 4
[tex]y_{2}[/tex] = [tex]\frac{1}{2}[/tex] × ( - 4 ) = - 2
[tex]y_{3}[/tex] = [tex]\frac{1}{2}[/tex] × 2 = 1
[tex]x_{5}[/tex] = [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]\frac{2}{3}[/tex]
[tex]x_{6}[/tex] = - [tex]\frac{1}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex] = - [tex]\frac{1}{2}[/tex]
[tex]x_{7}[/tex] = 0
( x , y ) : ( - 8 , - 4 ), ( - 4 , - 2 ), ( 2 , 1 ), ( 1 , [tex]\frac{1}{2}[/tex] ), ( [tex]\frac{2}{3}[/tex] , [tex]\frac{1}{3}[/tex] ), ( - [tex]\frac{1}{2}[/tex] , - [tex]\frac{1}{4}[/tex] ), ( 0 , 0 )
Solve the literal equation for Y:
4=5x+6y
Answer:
y=2/3-5x/6
Step-by-step explanation:
solve for x
-4x < 16
ill give brainliest if correct
Answer:
x>-4
Step-by-step explanation:
Hope this helps! Pls give brainliest! Also sub to kgir633 on yt.
5. What is 75% of 50?
Answer:
37.5
Step-by-step explanation:
multiply 50 by .75
same as
50/4=12.5+25=37.5
solving system by elimination
show your work
-3x - 5y = -7
-4x + 5y = 14
Answer:x=-1, y=2
Step-by-step explanation:
Summing these equations, we will obtain,
-7x =7
Therefore, x=-1
If we put x in the first equation,
(-3*-1)-5y=-7
3-5y=-7
-5y=-10
y=2
Answer:
x=-1, y=1
Step-by-step explanation:
-3x-5y=-7
-4x+5y=14
-7x=7
x=-1
-3x-5y=-7
-3(-1)-5y=-7
3-5y=-7
-5y=-10
y=2
Anybody know the answer !!
Answer:
17.08
Step-by-step explanation:
When it reaches its maximum, suppose that y = 0
Therefore you will need to factorise and solve
-16x^2 + 267 x + 107 = 0
Here you can use the quadratic equation[tex]\frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex]
Where you will get x = -0.39 seconds or 17.08 seconds (rounded to 2 decimal places according to the question
Because -0.39 is negative, this answer can be deleted
Leacing x = 17.08 seconds
Find a degree 3 polynomial with real coefficients having zeros 4 and 4i and a lead coefficient of 1. Write P
in expanded form. Be sure to write the full equation, including P(x) = .
Answer:
P(x)= x^3 - 4x^2 + 16x - 64
Step-by-step explanation:
First, let’s find all of the zeroes. If the question is asking for a degree 3 polynomial, than there has to be more than 2 zeroes. The complex conjugates theorem states that if a+bi is a zero, than a-bi has to be a zero as well. So if 4i is a zero, than -4i has to be a zero as well. By looking at the zeroes, you can write them as a linear factorization.
(x-4)(x+4i)(x-4i)
If you foil all of it, you will get x^3 - 4x^2 + 16x - 64.
find the volume of this figure:
Answer:
= 5l. 66 in^3
Step-by-step explanation:
Area of cross section (A) = 1/2×b×h
=1/2 ×3.5×4.1
=7.175
Volume =AXH
= 7.175× 7.2
= 5l. 66 in^3
A bird leaves its nest and travels 20 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles per hour slower and has 6 miles left after x hours.
a. What is the distance of the entire trip?
miles
b. How long does the entire trip take?
hours
minutes and
seconds
Answer:
The correct answers are:
A) 60 miles; and B) 3.375 hours.
Explanation:
We will use the equation d = rt for this.
For the first leg of the trip, the bird travels 20 miles per hour for x hours. This gives us the equation
d = 20x
For the return trip, the bird travels 4 miles per hour slower, so 20-4 = 16 miles per hour. He also travels 6 miles less than the return distance, for x hours:
d-6 = 16x
To isolate d, we will add 6 to each side:
d-6+6 = 16x+6
d = 16x+6
We will set the two equations equal to one another, since they both equal d:
20x = 16x+6
Subtract 16x from each side:
20x-16x = 16x+6-16x
4x = 6
Divide both sides by 4:
4x/4 = 6/4
x = 1.5
He travels for 1.5 hours both times.
The first time, 1.5 hours at 20 miles per hour is:
d = 1.5(20) = 30 miles
The original trip is 30 miles. This makes the entire trip 30(2) = 60 miles.
On the return trip, he travels 30-6 = 24 miles at 16 miles per hour:
24 = 16x
Divide both sides by 16:
24/16 = 16x/16
1.5 = x
If he goes 24 miles in 1.5 hours at 16 miles per hour, we can use a proportion to find the time it takes for the entire return trip:
24/1.5 = 30/x
Cross multiplying,
24*x = 1.5(30)
24x = 45
24x/24 = 45/24
x = 1.875
This gives him a total time of 1.5+1.875 = 3.375 hours
Step-by-step explanation:
can somebody help me with this please
Answer:
2 bottles
Step-by-step explanation:
The 15 trees will need ...
(15 trees)×(10.5 fl oz/tree) = 157.5 fl oz
This is about ...
(157.5 fl oz)/(33.814 fl oz/L) ≈ 4.66 L
This is just slightly more than the quantity available in 1 bottle. It amounts to ...
4.66 L/(4.1 L/bottle) ≈ 1.14 bottles
We assume that only whole bottles can be purchased, and that we do not have an inventory of fertilizer on hand.
2 bottles are needed to fertilize 15 trees
Find the area, in square inches, of a square with a side length 1/4 in.
Answer:1/16 squared
Step-by-step explanation:
1/4*1/4
4*4=16
1/16
A potter makes cups and saucers in a factory. He is paid $1.44 per
batch of cups and $1.20
per
batch of saucers. What is his gross pay if
he makes 9 batches of cups and 11 batches of saucers in one day?
Answer:
4
Step-by-step explanation:
Darren got 39 out of the 52 questions correct on a test. What percent of the questions did he get correct?
Answer:
75%
Step-by-step explanation:
Here are step-by-step instructions showing you how we calculated 39 out of 52 as a percentage:
The first step is to divide 39 by 52 to get the answer in decimal form:
39 / 52 = 0.7500
Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:
0.7500 * 100 = 75.00%
Kyle is setting out Japanese food for a party he is having. He has 9 avocado rolls and 18 cucumber rolls. If he wants each plate to be identical, with no rolls left over, what is the greatest number of platters Kyle can create? GCF and LCM: word problems no links pls
Answer:
9 plates
Step-by-step explanation:
The number of plates Kyle can make is the GCF of 9 and 18. Since 9 is a factor of 18, that GCF is 9.
Kyle can make 9 plates, each containing 1 avocado roll and 2 cucumber rolls.
Who can help me with this!!
Which of the following equations names the same line as -2x – 3y = 5?
A. -4x - 6y = 12
B. -4x - y = 10
C. -6x - 9y = 15
D. 4x - 6y = 15
Answer:
c
Step-by-step explanation:
_6x -9y =15
_6x÷3=-2x
9y÷3=3y
15÷3=5
so,_2x -3y =5
Select the correct answer.
2
Which equation describes the line graphed above?
A.y = -4x - 5
B. y = 5x - 4
C. y = -1/5x - 4
D. y = -4x - 1
Find the coordinates of the points D (4,-4) and E (5,-5) after the transformation (x,y) →
(x+ 3. y -5)
D = (7, -9)
E = (8, -10)
hope this helps!
What is the percent of decrease from 100 to 38?
Answer: 62
Step-by-step explanation:
100 - x = 38
x =62
a
Aiden and his parents are looking at what cell phone plan is the best deal financially.
Cherokee Cell company quoted them a base price of $20 a month plus $2 per text
message. The second store that Aiden and his family visited was Warriors Wifi. They
charged $80 a month plus $0.50 per text message. Based on this information, what is
the better deal for Aiden and his family if Aiden plans on sending 175 text messages a
month and why?
O Cherokee Cell is the better deal because it will cost $70 for 25 texts.
Cherokee Cell is the better deal because it will cost $167.50 for 175 texts.
O Warrior Wifi is the better deal because it will cost $167.50 for 175 texts.
Warrior Wifi is the better deal because it will cost $70 for 25 texts.
Answer:
Warrior WiFi is better because it costs 167.50 for 175 texts.
Step-by-step explanation:
2x175 = 350 + 20 = 370
0.50x175 = 87.5 + 80 = 167.5
Find the gradient of the line segment between the points (10,-4) and (6,-16).
Which graph shows the solution to this system of inequalities?
y < 3x - 4
y ≥ x + 1
Answer:
c
Step-by-step explanation:
The correct answer is option D.
What's a system of inequalities?
A system of inequalities is a set of two or more inequalities in one or more variables. Systems of inequalities are used when a problem requires a range of solutions, and there is more than one constraint on those solutions.
How do you solve a system of inequalities?
Step 1: Solve the inequality for y. Step 2: Graph the boundary line for the inequality. Step 3: Shade the region that satisfies the inequality.Step 4: Solve the second inequality for y. Step 5: Graph the boundary line for the second inequality. Step 6: Shade the region that satisfies the second inequality.
Learn more about the system of inequalities here: brainly.com/question/4870108
#SPJ2
what is the answer of the proportion 8/3 = y/13 round your answer to the nearest tenth