Answer:
Given, 3x−2<2x+1
⇒3x−2x<1+2
⇒x<3orx∈(−∞,3)
The lines y=3x−2 and y=2x+1 both will intersect at x=3
Clearly, the dark line shows the solution of 3x−2<2x+1.
Step-by-step explanation:
The ratio of males to females at a party is 3 : 5
There are 12 more females than males.
How many people are at the party?
Answer:
48
Step-by-step explanation:
Given ratio of males to females at a party is 3 : 5.
Let the numbers of males and females be 3x and 5x respectively.
According to the given description:
No of females = No of males + 13
Therefore,
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 12/2
x = 6
No of people at the party
= 3x + 5x
= 8x
= 8*6
= 48
Evaluate each expression if a = 6, b=3, and c=2.
1. 6+c
2. a-b
3. 2 c
4. a-1
5. c+4
6. a/b
7. b÷3
8. ab
choices:
8
5
18
1
6
4
3
2
MK = 24, JL = 20, and m
The quadrilateral below is a rhombus. Find the missing measures. Any decimal answers should be rounded to the nearest tenth.
NK =
m
NL =
m
ML =
m
JM =
m
m
Answer:
The answer is below
Step-by-step explanation:
If the quadrilateral below is a rhombus, find the missing measures.
MK = 24, JL = 20, and mZMJL = 50°
Solution:
A rhombus is a quadrilateral (has four sides and four angles) such that all the sides are of equal length.
The diagonals of a rhombus bisect each other.
NK = MK / 2 (diagonals of a rhombus bisect each other)
NK = 24 / 2 = 12
NL = JL / 2 (diagonals of a rhombus bisect each other)
NL = 20 / 2 = 10
In triangle MNL, ∠N = 90°
MN = NK = 12 , NL = 10. Using Pythagorean theorem:
ML² = MN² + NL²
ML² = 12² + 10²
ML² = 244
ML = √244
ML = 2√61 = 15.62
JM = ML = 15.62 (all sides of a rhombus are equal)
∠KNL = 90° (diagonals are perpendicular bisectors)
∠KJL = ∠MJL (diagonals bisect angles)
∠KJL = 50°
∠MJK = ∠KJL + ∠MJL = 50 + 50 = 100°
∠MJK = ∠MLK (opposite angles are equal)
∠MLK = 100°
∠NJK + ∠JNK + ∠JKM = 180° (sum of angles in triangle)
50 + 90 + ∠JKM = 180
∠JKM = 40°
∠JKL = 2 * ∠JKM (diagonal bisect angle)
∠JKL = 2 * 40
∠JKL = 80°
∠JKL = ∠JML (opposite angles are equal)
∠JML = 80°
please help thank you so much
Answer:
Q=63 degrees
Step-by-step explanation:
R=60 degrees
since T=123 degrees, S=180-123=57 degrees
There is 180 degrees in a triangle
Q=180-60-57
Q=63 degrees
Find the area of the shape shown below plz help
Answer:
60? I'm really not sure mate, i'm really sorry if it's wrong.
Step-by-step explanation:
Help me please... I have a lot more things to do and I wanna get this done.
Answer:
-6
Step-by-step explanation:
count
Answer:
-6
Step-by-step explanation:
each dash on the line changed by one. So i you go down, you subtract 1, and if you go up, you add 1.
What is the 27th term in this arithmetic sequence 59, 56, 53, 50, ...
Answer:
2
Step-by-step explanation:
All u need to do, is subtract 3, until u get to the 20th sequence.
59, 56, 53, 50, 47, 44, 41, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11, 8, 5, 2
If Juan makes $20 an hour, write an equation that
shows how much Juan can expect to make over time.
Answer:
Let y be the total earning x be the hours workedand 20 be the hourly rate y=20xI AM TIMED PLZ HELP!!!!!!!!!!!
For what values of x and y are the triangles to
the right congruent by HL?
Answer:
x = 12, y = 4
Step-by-step explanation:
For the triangles to be congruent by HL , then
x = y + 8 → (1)
4y = x + 4 → (2)
Substitute x = y + 8 into (2)
4y = y + 8 + 4
4y = y + 12 ( subtract y from both sides )
3y = 12 ( divide both sides by 3 )
y = 4
Substitute y = 4 into (1)
x = 4 + 8 = 12
Find the minimum and maximum possible areas for a rectangle with the following measured area.
6 in. × 9 in.
A.
46.75 in.2, 61.75 in.2
B.
53.5 in.2, 54.5 in.2
C.
40.0 in.2, 54 in.2
D.
40.5 in.2, 54.5 in.2
Answer:
46.75 in.2, 61.75 in.2
Step-by-step explanation:
its in your notes/lesson on gradpoint
plz help me
Jackson and his sister ran a hose from a bucket into their swimming pool. The hose sprays 1/3 of a gallon from the bucket every second. The bucket started with 32 gallons of water. How long will it take to empty the bucket?
Answer:
96 seconds
Step-by-step explanation:
In order to find how long it will take to empty the bucket, you must multiply the number of gallons by the reciprocal of the fraction.
1. Reciprocal of [tex]\frac{1}{3}[/tex] is [tex]\frac{3}{1}[/tex] which is 3
2. multiply 32 by 3 to get your answer, 96.
I hope this helped!
A running track has two straight sides with length 140 m and two semicircle ends with radius 70 m. It takes Kat 40 seconds to jog 160 m. How long would it take her to jog around the track 51 times? Give your answer in hours and minutes, to the nearest minute.
It would take her 4590 seconds to jog round the track 51 times
Speed is the ratio of the total distance travelled to total time taken. It is given by:
Speed = distance / time
Kat uses 40 seconds to jog 160 m, hence:
Speed = 160 m / 40 s = 4 m/s
The track length = 140 m + 2 * (π * 70) = 360 m
Time taken to jog round the track (t) is:
4 m/s = 360 m / t
t = 90 s
To jog round the track 51 times, time taken = 51 * 90 s = 4590 seconds
It would take her 4590 seconds to jog round the track 51 times
Find out more at: https://brainly.com/question/23774048
please help I'm so confused pls
Melanie is buying soft drink cans for the work fridge. In the shopping catalogue, she sees a 10 can
pack for $6.00 and a 24 can pack for $15.96. Which is the cheapest way for Melanie to buy the soft
drink? Show all working
What single percentage change is equivalent to a 9% increase followed by a 14% decrease?
Which fraction is equivalent 5/20?
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
5/20
divide both sides of the fraction by 5
5/5 = 1
20/5 = 4
1/4
I need help fast thank you!
Answer:
the third one
Step-by-step explanation:
Expand and simplify
(x-4) (x+3) (x-10)
Answer:
=(x-4)(x+3)(x-10)
=11x³-7x²+58x+120
hope it helps.
The length of a rectangle is eight more than twice it's width. the perimeter is 96 feet. find the dimensions
Variables:
equation:
Solution:
Answer:
the length and width be 13.33 feet and 34.67 feet respectively
Step-by-step explanation:
The computation is shown below:
Let us assume the width be x
So, the length be 2x + 8
As we know that
The perimeter of the rectangle = 2(length + width)
96 = 2(2x + 8 + x)
96 = 4x + 16 + 2x
96 - 16 = 6x
80 = 6x
x = 80 ÷ 6
= 13.33 feet
So, the length would be
= 2 × 13.33 + 8
= 34.67 feet
Hence, the length and width be 13.33 feet and 34.67 feet respectively
Solve - 2x - 15 = 6x + 9.
01) 3
2) -3
3) -1
4) 6
Answer:
the answer is the second one
Step-by-step explanation:
hoped I helped:)
16q3-48q2+32q what would be the steps on how to do this? please?
Answer:
Its nothing complicated, you just have to combine all the like terms, just make sure the lvariables are the same before combining of course.
so assuming the gaps missng are exponents
the solution is the same exact thing
it can’t be simplified anymore since 16q^3 or -48q^2 can’t due to different exponents which thefore can’t combine
same with 32 q, nothing combines
The answer is the original expression
A video posted to the internet had 3,200 views in its first week
(a ) The video got 4, 640 views in its second week. What was the percent increase in the views from the first week?
Answer:
45%
Step-by-step explanation:
The computation of the percentage increase from the first week is shown below:
Given that
In the first week there is 3,200 views
And, in the second week, there is 4,640 views
So, the percentage increase is
= (Second week views - first week views) ÷ (first week views)
= (4,640 - 3,200) ÷ (3,200)
= 45%
Write the equation in standard form:
y + 5 = - (x + 3)
Answer:
x + y = -8
Step-by-step explanation:
uhh help lol
5.3x + y = 28.5
4.2x + 3.1y = 27.2
find x and y
Answer:
x = 5, y = 2
Step-by-step explanation:
First, isolate y in the top equation.
[tex]y = -5.3x+28.5[/tex]
Next, substitute y in the bottom equation.
[tex]4.2x + 3.1(-5.3x + 28.5) = 27.2[/tex]
[tex]5.3x + y = 28.5[/tex]
Simplify.
[tex]4.2x + -16.43x + 88.35 = 27.2[/tex]
Combine like terms.
[tex]-12.23x + 88.35 = 27.2[/tex]
Isolate x on one side.
[tex]-12.23x = -61.15[/tex]
Isolate x.
[tex]x = 5[/tex]
Substitute x into [tex]5.3x + y = 28.5[/tex]
[tex]5.3(5) + y = 28.5[/tex]
Simplify.
[tex]26.5 + y = 28.5[/tex]
Isolate y.
[tex]y = 2[/tex]
[tex]x = 5 \\y = 2[/tex]
Ginny buys 7 magazines for 2.80 how much does 1 cost?
How much does do 5 magazine cost?
Answer:
one costs 0.40 and 5 cost 2.00
Step-by-step explanation:
bc 2.80/7 = 0.40
0.40 times 5 = 2.00
What is the probability that a resident is in the age group 60-69? a. 0.385 c. 0.35 b. 0.37 d. 0.4
Answer:
b. 0.37
Step-by-step explanation:
it asks for everyone from 60-69 so you add the male and female together and put it into a fraction it should come out as .37/1 or 0.37
The transformation indicated on the graph is a: reflection translation rotation
Answer:
reflection
Step-by-step explanation:
I just got it right.
The bakers at
Good-For-You Bakery can
make 500 bagels in 2
hours. How many bagels
can they bake in 14
hours? What was that rate
per hour?
Answer:
Rate: 250 bagels per hour
3500 bagels in 14 hours
Step-by-step explanation:
Help me please Help me please Help me please Help me please Help me please Help me please Help me please Help me please
Answer:
0
Step-by-step explanation:
You did not move the dot over at all on the x-axis, only on the y-axis
Answer: x is 0 and y is 3