Given:
The inequality is:
[tex]\dfrac{4}{3}<-\dfrac{8}{3}y[/tex]
To find:
The solution of the given inequality.
Solution:
We have,
[tex]\dfrac{4}{3}<-\dfrac{8}{3}y[/tex]
Multiply both sides by 3.
[tex]4<-8y[/tex]
Divide both sides by -8 and change the sign of inequality.
[tex]\dfrac{4}{-8}>\dfrac{-8y}{-8}[/tex]
[tex]-\dfrac{1}{2}>y[/tex]
It can be written as:
[tex]y<-\dfrac{1}{2}[/tex]
Therefore, the correct option is A.
John drank 12 oz of soda. If this was 60% of the soda in the bottle, how many ounces of soda were in the full bottle?
Answer:
20oz
Step-by-step explanation:
60%=12oz
this can be simplified into 1%
in order to find 1% divide by 60
60%/60=1%
in order to find out how much 1% is, divide 12oz by the number used to divide the percent
12/60=0.2
so 0.2=1% and we want to know 100% so multiply by 100
0.2x100=20
1%x100=100%
so 20oz=100% of the bottle
Plz help me solve and show your work.
Hi there!
[tex]\large\boxed{h = \frac{15x}{y}}[/tex]
Recall the volume of a pyramid is:
V = 1/3(bh)
We are given the volume and side length of the base. Find the area of the base:
A = s²
A = (5xy²)² = 25x²y⁴
Plug in the solved for base:
125x³y³ = 1/3(25x²y⁴)h
To isolate for h, begin by multiplying both sides by 3:
375x³y³ = (25x²y⁴)h
Divide both sides by 25x²y⁴. Use the following exponent property:
xᵃ / xᵇ = xᵃ⁻ᵇ
Thus:
375x³y³ / 25x²4⁴ = 15x/y.
The height must be equal to:
[tex]h = \frac{15x}{y}[/tex]
PLEAS HELP ILL GIVE BRAINLIEST
SHOW WORK OR NO BRAINLIEST
Answer:
Marta spent a total of $34.29
Step-by-step explanation:
Since she bought 3 towels for $8.50 each you would do 3 times $8.50 to get $25.50 for the towels and since she bought 5 washcloths for $1.25 each you would do 5 times $1.25 to get $6.25 then you would add the totals to get $31.75. Then you would find out the tax by finding out what 8% of $31.75 is which would be 2.54. So you would add $2.54 to $31.75 to get $34.29. So the total amount of money that Marta spent is $34.29
3 times $8.50 = $25.50
5 times $1.25 = $6.25
$25.50 + $6.25 = $31.75
Help me out please?.
Given an = 3n-5, what is the common difference?
Answer:
3
Step-by-step explanation:
A common difference is found in arithmetic sequences. The simplified formula for arithmetic sequences, which is what is used here, is [tex]a_{n}=dn-a_{0}[/tex]. Where d is the common difference and [tex]a_{0}[/tex] is the zeroth term. So, in the given equation 3 must be the common difference.
The side length of a cube is 8 cm, and the side length of a smaller cube is 2 cm.
The volume of the larger cube is how many times the volume of the smaller cube?
Answer:
64 times larger
Step-by-step explanation:
8^3=512
2^3=8
512/8=64
|x+2), if x >- 1
Plz plz plz help
What is the median for the set of data?
6, 7, 10, 12, 12, 13
hey i need help finishing this question on my exit ticket asap please i don’t want no links just the answer
Answer:
201.06
Step-by-step explanation:
triangle with angle measures 85°, 35°, and 60°
Answer:
It should equal 180 i think correct me if im wrong
HELPO PLS TYSMMM
I’m bad so help lol
Answer:
no, yes, yes , no, yes
Step-by-step explanation:
Find the volume of the hemisphere.
A diameter of a circle has endpoints at (-3, 2) and (-3,-3). What are the coordinates of the center
of the circle?
A (0, 3)
B(-3,-1)
C(-6, -1)
D (-3, 0)
Answer:
B (-3, -1/2)
Step-by-step explanation:
2 and -3 are 5 units apart which means that the middle is 2 1/2 from either point. This point is (-3, -1/2)
Have a great day!
Simplify the expression:
2(2 + 4k)
10. Find the measure of exterior angle TUV below. Record your answer on the grid.
Answer:
41
Step-by-step explanation:
what would be the answer
Answer:
B= 21.195
Step-by-step explanation:
Inner circle area = 3.14×1.5×1.5=7.065
Outer circle area = 3.14× 3×3 = 28.26
3 is the radius of the outer circle
Area of the shaded portion is = area of outer circle - area of inner circle
28.26-7.065=21.195
Answer B= 21.195
please help its timed thank u
Answer:the third one (c)
Step-by-step explanation:
1. Members of a research team are considering three studies related to sleep and learning. The first study involves comparing the scores on a post-study test of learning from two groups of randomly chosen adults, with one group getting at least 7 hours of sleep per night for a week and the other group getting at most 6 hours
of sleep per night for a week. A second study involves asking a random sample of students at a large university to report the average number of hours of sleep they get each night and their college grade point average. A third study involves asking a random sample of high school students in a large school district whether they feel they get enough sleep to stay alert throughout the school day.
The question is incomplete. The complete question is :
Members of a research team are considering three studies related to sleep and learning. The first study involves comparing the scores on a post-study test of learning from two groups of randomly chosen adults, with one group getting at least 7 hours of sleep per night for a week and the other group getting at most 6 hours of sleep per night for a week. A second study involves asking a random sample of students at a large university to report the average number of hours of sleep they get each night and their college grade point average. A third study involves asking a random sample of high school students in a large school district whether they feel they get enough sleep to stay alert throughout the school day.
Which study appears to look for an association between two variables without actively manipulating either one. What are those variables ?
Solution :
The second study in the context is involved in asking for a random sample of the students at an university to provide a report the average hours of sleep that everybody get each night and also the grade point of their college appears for association between these two variables without actively changing either of one.
These variables are the grade point average of the students and the numbers of hours of sleep.
Another question how fast is Andrew traveling?
Answer:
DannyStep-by-step explanation:
Danny's speed is given:
15 mphAndrew's speed is found from the table.
Since its the direct relationship, we find it using one pair of values:
Speed = miles/times = 21.75/1.5 = 14.5 mphDanny is faster as 15 mph > 14.5 mph
Speed =Distance/Time
Here speed is equal to slope of box
m=y/xm=29/2m=14.5mphDanny is faster as his one is 15mph
What is the equation of a line with a point of (-12,8)and a slope of 1/2?
solve 2x + 3y = 4 - 2x - y = -8
Answer:
y = -2 and x = 5
Step-by-step explanation:
2x + 3y = 4
-2x - y = -8
Since this is a system of equations, we can either substitute or subtract. I will be subtracting.
2x + 3y - 2x - y = 4 - 8
2y = -4
y = -2
Now that we have y, we will plug it in for the first equation and solve.
2x + 3(-2) = 4
2x - 6 = 4
+ 6 + 6
2x = 10
x = 5
Let f(x) = 7x² + 19x + 21 and g(x) = 4x² + 4x + 3 . Identify the solution(s) of f(x) = g(x).
Answer:
-3 and -2
Step-by-step explanation:
7x² + 19x + 21 = 4x² + 4x + 3
combine like terms:
3x² + 15x + 18 = 0
3(x² + 5x + 6) = 0
(x + 3)(x + 2) = 0
x = -3
x = -2
The cost of a holiday is £2400. Rana pays a deposit followed by monthly payments, in the ratio deposit:total of the monthly payments=3:5 she makes 6 equal monthly payments. Work out her monthly payment
Answer:
Monthly installments = £250
Step-by-step explanation:
Given
Total cost of holiday = £2400
Ratio deposit : total of the monthly payments=3:5
Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]
Total amount of the monthly payments = 2400 -900 = 1500
She pays six equal installments.
Amount of installments = 1500/6 = 250
Monthly installments = £250
Using proportions, it is found that her monthly payments are of £250.
The deposit is of x.The total of monthly payments the remainder, that is, 2400 - x.According to the ratio, we have that:
[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]
Applying cross multiplication:
[tex]5x = 3(2400 - x)[/tex]
[tex]8x = 7200[/tex]
[tex]x = \frac{7200}{8}[/tex]
[tex]x = 900[/tex]
Hence, the monthly payments add to £1500.
She makes 6 equal monthly payments, hence:
[tex]p = \frac{1500}{6} = 250[/tex]
Her monthly payments are of £250.
A similar problem is given at https://brainly.com/question/24372153
What are the answers for 1-4 this is geometry.
Answer/Step-by-step explanation:
1. x*21 = 24*14 (intersecting chords theorem)
21x = 336
x = 336/21
x = 16
2. 27*x = 45² (secant-tangent rule)
27x = 2,025
x = 2,025/27
x = 75
3. (x + 5)*5 = (4 + 6)*6 (Intersecting secants theorem)
5x + 25 = (10)*6
5x + 25 = 60
5x = 60 - 25
5x = 35
x = 35/5
x = 7
4. (4x + 2)*8 = (5x + 1)*7
32x + 16 = 35x + 7
Collect like terms
32x - 35x = -16 + 7
-3x = -9
x = -9/-3
x = 3
PLEASSEE HELP MY ASSIGMENT IS ALMOST DUEEE!!! PLEASE HELP MY I WILL GIVE YOU BRAINLEST
Answer:
ill help you whats the question
Step-by-step explanation:
Answer:
what do we answer I see nothing
Step-by-step explanation:
??
Write the repeating decimal as a mixed number.
What is 73/48 simplified
Answer:
The Decimal form is: 1.52083 (and the 3 keeps going and going)
Is mixed number it is: 1 25/48.
find the missing angle measure
m<s=
m<u=
Answer and Step-by-step explanation:
The interior angles of a triangle a add up to 180. We can find x by subtracting everything from 180, and then divide for x.
180 = x + 4 + 68 + x
Simplify.
180 = 2x + 72
Subtract 72 from both sides of the equation.
108 = 2x
Divide each side by 2.
x = 54
The angles of the triangle are:
Angle S = 54
Angle U = 58
Angle T = 68
#teamtrees #PAW (Plant And Water)
select the expression that is equivalent to (x+5)^2-(x-3)(x+5)
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
use the graph to answer these questions. what is the slope and y-intercept?
slope: -1/4
y-int: -1
y=(-1/4)x-1
