The value of y in the given inequality 4y + 1/5 ≤ 4/5 is: y ≤ 3/20.
How to Solve an Inequality?To solve any inequalities, apply the same knowledge used to solve a normal algebraic equation by isolating the value of the variable.
The given inequality is 4y + 1/5 ≤ 4/5. To solve for the value of y, follow the steps below:
4y + 1/5 ≤ 4/5 [given]
Subtract 1/5 from both sides of the inequality:
4y ≤ 4/5 - 1/5 [subtraction property of equality]
4y ≤ 3/5
Multiply both sides by 1/4:
4y × 1/4 ≤ 3/5 × 1/4
y ≤ (3 × 1) / (5 × 4)
y ≤ 3/20
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Jack and Carl share a 30-ounce bucket of clay. By the end of the week, Jack has used 1/10 of the bucket, and Carl has used 2/5 of the bucket of clay. How many ounces are left in the bucket?
Answer:
15
Step-by-step explanation:
Since we're working with fractions, and the thirty ounce bucket is equivalent to 30/30. In order to make this easier, let's use the denominator of 30 for all of the fractions. Now that we've made them all equal, turning 1/10 to 3/30, and 2/5 to 12/30, let's add. 12 + 3 is 15, and 15/30 is half of 30/30. There was 15 ounces, or 1/2 of the tub, left.
a right rectangular prism has a length of 10 centimeters, a width of 2.5 centimeters and a height of 0.9 centimeters. what is the volume of the rectangular prism?
Answer:
22.5 cm
Step-by-step explanation:
length times width times height
Neal's room has sides 10 1/4 ft and 12 5/6 ft. What is the perimeter?
Answer:
66 1/6ft
Step-by-step explanation:
I have calculated by saying perimeter =2(length+width). I think that's the answer hope it helps.
Answer: 46 1/4
Step-by-step explanation:
Perimeter = (L+W) x 2
So basically ... (10 1/4 + 12 5/6) x 2
Which would be ... 23 1/12 x 2
Which gives you the answer of 46 and 1/4
PLEASE HELP ASAPPPP!!!!!!
Answer:
B and C
Step-by-step explanation:
because AC is shorter than DF
because AB is different to DE
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
Answer:
124
Step-by-step explanation:
Elm St. and Oak St. are parallel lines.
Cedar St. is a transversal to the other two streets.
When parallel lines are cut by a transversal, corresponding angles are congruent.
The angles with measures 9x + 61 and 3x + 103 are corresponding angles, so they are congruent and have the same measure.
9x + 61 = 3x + 103
Subtract 3x from both sides.
6x + 61 = 103
Subtract 61 from both sides.
6x = 42
Divide both sides by 6.
x = 7
9x + 61 = 9(7) + 61 = 63 + 61 = 124
3x + 103 = 3(7) + 103 = 21 + 103 = 124
10% of ___ is 14
what is the number
Answer:
140 :)
Hope this helps
Step-by-step explanation:
Tell me if I am right
Helppppp plsssssssssssssssssssssss thanks
Is it
A
B
C
D
Answer:
It is (C) (6,5)
Step-by-step explanation:
Answer:
the answer is c :D
B
Manuel is leaving Boston to go on a hike at Mt.
Monadnock, in New Hampshire. He mapped out a
route with the map scale of 1 in. = 25 mi and found the
total distance on the map to be about 3.2 inches. What
is the actual distance Manuel will travel?
miles
Bu
1 in. = 25 mi
The altitude of a triangle is 5 less than its base. The area of the triangle is 42 square inches. Find its base and altitude.
9514 1404 393
Answer:
base: 12 in
altitude: 7 in
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
Filling in the given information, we have ...
42 = 1/2(b)(b -5)
b^2 -5b -84 = 0 . . . . multiply by 2, put in standard form
(b -12)(b +7) = 0 . . . . factor
The only positive solution is b = 12
The base is 12 inches; the altitude is 7 inches.
i need help with this!
Answer:
1.4
Step-by-step explanation:
Which of the following polynomials is guaranteed by the Intermediate Value Theorem to have a zero on the interval [−4,−1]?
Answer:
3
Step-by-step explanation:
because 4-1=3
The polynomials are not given, but we can answer in a general way.
Basically, what you need to test is:
Sign[p(-4)] ≠ Sign[p(-1)]
But let's see why.
The intermediate value theorem says that, if for two values a and b such that:
a < b
If we have a given continuous function such that:
f(a) < 0 and f(b) > 0.
or
f(a) > 0 and f(b) < 0
Then there exists a value c
a < c < b
Such that:
f(c) = 0
So to find the correct polynomial, you just need to evaluate it in both extremes of the interval and you should see that the sign changes.
This means that if p(x) is the polynomial, then you should have:
Sign[p(-4)] ≠ Sign[p(-1)]
This will imply, by the intermediate value theorem, that the polynomial is equal to zero for some given value on the given interval.
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Identify each pair of angles as corresponding, alternate interior, alternate exterior, or a consecutive interior and solve for X
Answer:
those are corresponding angles
Step-by-step explanation:
6x=5x+10
-5x on both sides of the equal sign
x=10
cos 90 - sin 45
Pleeeeeeeeease
Answer:
-1.29897714066
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
cos90° - sin45°
= 0 - [tex]\frac{\sqrt{2} }{2}[/tex] ( exact value of sin45° )
= - [tex]\frac{\sqrt{2} }{2}[/tex]
≈ - 0.707 ( to 3 dec. places )
The diagonals of square ABCD intersect at point E. If BE = 2x + 1, and AC = 3(6x - 4), find BD.
Answer:
Step-by-step explanation:
5
A researcher is 95% confident that the interval from 19.8 to 31.5 captures y = the true mean number of unbroken
crackers in a certain-sized bag.
Is it plausible that the true mean number of unbroken crackers for all bags of this size may be 302
ОООО
No, this is not a plausible value for the population mean, because 30 is within the 95% confidence interval.
No, this is not a plausible value for the population mean, because 30 is not within the 95% confidence interval.
Yes, this is a plausible value for the population mean, because 30 is within the 95% confidence interval.
Yes, this is a plausible value for the population mean, because 30 is not within the 95% confidence interval.
No, this is not a plausible value for the population mean, because 30 is not within the 95% confidence interval.
What is confidence interval?Based on a sample from a population, a confidence interval is a range of values that is likely to include the true value of that population parameter. In statistics, samples are frequently used to calculate population characteristics like the mean or percentage. The estimate could not be precisely equal to the real value of the population parameter, though, as the sample is only a portion of the population.
According to the statement in the issue, there should be between 19.8 and 31.5 unbroken crackers in a bag of a specific size with 95% confidence.
Hence, no, this is not a plausible value for the population mean, because 30 is not within the 95% confidence interval.
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ugriuhgi5ughoiruhr PLEASE HELP 10 POINTS!
Answer:
A = 6
B = 6
C = 7
D = 4
Step-by-step explanation:
HELP FAST ILL GIVE WHATVERR YOU WANT
: Selina weighs a metal sample in science class as being 20.8 grams. The actual weight of the sample is 20 grams. What is her percent relative error? Show your work.
Answer is 4%
If you keep subtracting 20.8 with any percent at all you would find your answer
If you need more work shown i will give you more by saying it in comments. ^^
What is four x equals twelve
Answer:
x= 3
Step-by-step explanation:
12 ÷ 4 +3
The algebraic expression 4x = 12 represents "four x equals twelve" and the solution of the expression 4x = 12 is the value of variable x is 3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The given statement is "four x equals twelve"
According to the given question, translate the phrase into an algebraic expression:
⇒ 4x = 12
Thus, the algebraic expression is 4x = 12 represents "four x equals twelve"
Now the above expression solves for variable x,
⇒ 4x = 12
Divided by 4 into both sides of the above equation,
⇒ 4x / 4 = 12 / 4
⇒ x = 3
Therefore, the solution of the expression 4x = 12 is the value of variable x is 3.
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There are 20 question in a test and you get 75% correct how many questions do you get right
Answer:
Answer. so the answer is 15. you got 15 questions right.
Step-by-step explanation:
4.3 is ten as much as
Answer:
.43
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEEEEE
Answer:
d
Step-by-step explanation:
Brₐinliest plz close to leveling up
What is the area of the kite?
Answer:
Step-by-step explanation:
area of kite=product of diagonals ÷2=(30×4)÷2=120/2=60 ft²
Does anyone know the answer to this?
If mBC = mBD =140 degrees then What is m
9514 1404 393
Answer:
40°
Step-by-step explanation:
The sum of arcs of a circle is 360°, so the measure of arc CD is ...
CB +BD +CD = 360°
CD = 360° -140° -140° = 80°
The measure of inscribed angle B is half the measure of the arc it subtends:
∠B = arc CD/2 = 80°/2
∠B = 40°
Answer:
40 degrees
Step-by-step explanation:
In the following diagram,
ℓ
∥
m
.
Solve for each of the variables w, x, y, and z. For each solution, explain, in complete sentences which special angles allowed you to create an equation in order to find a solution.
Answer:
x + 75 = 180, as these two angles form a straight angle.x = 180° - 75° = 105°y and x are supplementary angles as p is transversal of l and m:
y + x = 180°y = 180° - x = 180° - 105° = 75°z is same as 86° as vertical angles:
z = 86°w and z are supplementary angles as g is transversal of l and m:
w + z = 180°w = 180° - z = 180° - 86° = 94°Find all constants a such that the vectors (a, 4) and (2, 5) are parallel.
Answer:
[tex]\displaystyle a = \frac{8}{5}[/tex].
Step-by-step explanation:
Two vectors [tex](x_1,\, y_1)[/tex] and [tex](x_2,\, y_2)[/tex] are parallel to one another if and only if the ratio between their corresponding components are equal:
[tex]\displaystyle \frac{x_1}{x_2} = \frac{y_1}{y_2}[/tex].
Equivalently:
[tex]\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex].
For the two vectors in this equation to be parallel to one another:
[tex]\displaystyle \frac{a}{4} = \frac{2}{5}[/tex].
Solve for [tex]a[/tex]:
[tex]\displaystyle a = \frac{8}{5}[/tex].
[tex]\displaystyle \frac{8}{5}[/tex] would be the only valid value of [tex]a[/tex]; no other value would satisfy the [tex]\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex] equation.
In ΔEFG, the measure of ∠G=90°, the measure of ∠E=78°, and GE = 33 feet. Find the length of FG to the nearest tenth of a foot.
Answer:
I just did this on Delta Math lol:
Answer: 155.3 ft
Step-by-step explanation:
PLEASE HELP 30 cm
30 cm
76 cm
Casa wames to put a layer of sand at the bottom of the tank. The sand layer is to be 3 cm deep. If the density of sand is 2.65 9 what mass of sand does Carla need to purchase? Round to the nearest gram.
cm
6810
18. 136
25.11
cm
6810
18. 136
25.11
The mass of Sand that Carla needs to purchase for the sand tank is gotten to be; 25811 g
What is the mass required?Formula for density is;
Density = mass/volume
From the box we are given, it's volume is;
Volume = 30 * 30 * 76
Volume = 68400 cm³
Now, from conversion;
1 cm³ = 1g. Thus;
68400 cm³ = 68400 g
Volume = Mass/density
Volume = 68400/2.65
Volume = 25811 g
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WILL GIVE BRAINLIEST!!!!!
Answer:
6
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest tenth.
Answer:
x = 16.2
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 54°
Hypothenus = 20
Opposite = x =?
The value of x can be obtained by using the sine ratio as illustrated below:
Sine θ = Opposite / Hypothenus
Sine 54° = x / 20
Cross multiply
x = 20 × Sine 54
x = 20 × 0.8090
x = 16.2
Thus, the value of x is 16.2