1/2x - 5 = 10 - 3/4x Please show work !
Answer:
x=[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
1/2x - 5 = 10 - 3/4x
4x/2x - 5 × 4x = 10 × 4x - [tex]\frac{3 x 4x}{4x}[/tex]
2 -5 × 4x = 10 × 4 - 3
2 - 20x = 40x - 3
-20x - 40x = -3 - 2
-60x = -3 - 2
-60x = -5
x = [tex]\frac{-5}{-60}[/tex]
x = [tex]\frac{1}{12}[/tex]
. A National Institute of Health survey of 40467 U.S adults found that 3156 of them experienced at least one major depressive episode in the previous year. Make a 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year. (Source: https://www.nimh.nih.gov/health/statistics/major-depression)
Using the confidence interval for sample proportion formula, the C.I is (0.075; 0.081)
Using the relation :
[tex]p ± z_{crit} \sqrt{ \frac{p(1 - p)}{n} } [/tex]
Sample size, n = 40467Sample proportion, p = 3156/40467 = 0.078Zcrit at 95% = 1.96Margin of Error = [tex] 1.96 \sqrt{ \frac{0.078(0.922)}{40467} } [/tex] Margin of Error = 0.0026128Lower boundary = 0.078 - 0.0026128 = 0.075
Upper boundary = 0.078 + 0.0026128 = 0.081
Hence, the confidence interval is (0.075; 0.081)
Learn more :
If the simple interest on 4,000 for 10 years is 2,400 then what is the interest rate
Answer:
6%
Step-by-step explanation:
I =Prt I being interest paid, P is Principal, r is rate, t is term
2400=4000x r x 10
2400=40000r
2400/40000=.06 convert to percentage by multiplying by 100 x. 06=6
Brainliest)
There are 12000 fish in a lake. Because of pollution, the number of fish halves every year. What will be the population of fish after 5 years?
help
Answer:
375 fishes
Step-by-step explanation:
12000 divided by 2 is 6000 1st year
6000 divided by 2 is 3000 2nd year
3000 divided by 2 is 1500 3rd year
1500 divided by 2 is 750 4th year
750 divided by 2 is 375 5th year
Order the numbers 0.64, 2/3, 65%, and 7/10 from least to greatest.
(Please explain how you did it too-)
Answer:
the order is 0.64, 65%, 2/3, and 7/10
Step-by-step explanation:
because 2/3=0.66666, 65%=0.65, 7/10=0.7
3/10 = ___ x 1/10
pls help i'll give brainiest
Answer:
1/10 x 30/10=30/100 then simplify =3/10
Step-by-step explanation:
Hope I helped please mark brainliest!
Like terms can be ________
this is fill - up question
Answer:
.the same variables and same powers
Step-by-step explanation:
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.
HOPE IT HELPS...............
Triangle PIN is rotated -270 degrees about the origin.
Draw the image of this rotation.
If triangle PIN is rotated -270 degrees about the origin, the new point is at:
P'(-3, 2), I'(7, 7) and N'(7, -2)
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.
If a point A(x, y) is rotated -270 degrees about the origin, the new point is at A'(-y, x).
The triangle PIN has vertices at P(2, 3), I(7, -7) and N(2, -7). If it is rotated -270 degrees about the origin, the new point is at:
P'(-3, 2), I'(7, 7) and N'(7, -2)
Find out more at: https://brainly.com/question/11707700
Answer:
P=(-3,2)
I=(7,7)
N=(7,2)
Step-by-step explanation:
khan
Someone please help! Thank you in advance!
Answer:
58ft
Step-by-step explanation:
100-60=40
40+18=58
the answer is 58ft
(brainliest plz)
Anna wants to bake $2\frac{1}{2}$ dozen cookies for a party. However, the recipe she has only makes a dozen cookies. If the original recipe calls for $1\frac{1}{4}$ cups of sugar, how many cups of sugar does she need to make the cookies for her party?
PLS HELPP me asap no bots
Cutting in one minute = 105 ÷ 3 = 35 cuts
Now for six machine = 35 × 6 = 210 parts.
So, the option C. 210 parts is correct answer.
PART BAs, 20 × 3 = 60 seconds
Parts can be stamped in one minute = 24 × 3 = 72
So, time required [tex] = \frac{4320}{72} \\ = 60 \: minutes[/tex]
So, the option D. 60 minutes is c correct answer
NEED HELP NOW! SOLVE THE INEQUALITY: -r/3 ≤ 6
The r/3 is not division.. its a fraction. thx
Also.. once one person has answered... please don't answer more... i don't want ore than 10 points taken away. thank you so much
Answer:
[tex]r\geq -18[/tex]
Step-by-step explanation:
[tex]\frac{-r}{3} \leq 6\\\rule{150}{0.5}\\(\frac{-r}{3})*3\leq 6*3\\\\-r \leq 18\\\\\frac{-r \leq 18}{-1}\\\\\boxed{ r\geq -18}[/tex]
Hope this helps!
WHAT IS THE AREA OF THE CURVED SURFACE OF A CYLINDER OF BASE RADIUS 4 CM AND HEIGHT 10 CM
Answer:
The curved surface area of cylinder is 251.42 cm².
Step-by-step explanation:
Here's the required formula to find the curved surface area of cylinder :
[tex]\star\underline{\boxed{\sf{CSA_{(Cylinder)}} = 2\pi rh}}[/tex]
Csa = Curved surface areaπ = 22/7r = radius h = heightSubstituting all the given values in the formula to find the curved surface area of cylinder :
[tex]\implies{\tt{CSA_{(Cylinder)}= 2\pi rh}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)} = 2 \times \dfrac{22}{7} \times 4 \times 10}}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)} = 2 \times \dfrac{22}{7} \times 40}}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)} = \dfrac{2 \times 22 \times 40}{7}}}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)} = \dfrac{44 \times 40}{7}}}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)}= \dfrac{1760}{7}}}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)} \approx 251.42 }}}[/tex]
[tex]{\star{\underline{\boxed{\tt{\red{CSA_{(Cylinder)} \approx 251.42 \: {cm}^{2}}}}}}}[/tex]
Hence, the curved surface area of cylinder is 251.42 cm².
[tex]\rule{300}{2.5}[/tex]
Which part of this problem should be simplified first?
(100 – 37 + 15) × 2 ÷ 3
Answer:
the parentheses should be the first.
Step-by-step explanation:
follow the steps using PEMDAS.
P- parentheses
E- exponent
M- multiply
D- divide
A- addition
S- subtraction
Answer:
The answer is 100 - 37. Do not put parenthesis when answering your question.
Step-by-step explanation:
Question 19 of 25
f() = 379-2 and g(x) = 2x* 4. find (f- )(x).
A*2
C 3 - 2x - 6
D. 37 - 2x + 2
Question in on picture attached
Answer: 12
Step-by-step explanation:
180 = 76 + (3x+3) + (6x-7) = 12
What is the solution for the inequality 4≤r/18+10?
[tex]4 \leq \dfrac{r}{18} +10\\\\\\\implies 4-10 \leq \dfrac{r}{18}\\\\\\\implies -6 \leq \dfrac r{18}\\\\\\\implies -6(18) \leq r\\\\\\\implies -108 \leq r\\\\\\\implies r \geq -108\\\\\\\text{Interval,}~ [-108 , \infty)[/tex]
Hayley learned a total os 13 appetizer recipes over the course of three weeks of culinary school. how many weeks does she need to complete to have learned 21 appetizers ?
Answer:
5 would be the answer.
Step-by-step explanation:
13 divided by 3(weeks) = 4.3
4.3 x 5 = 21.
= 5.
Kane is training for a marathon. He starts by running 3 miles during every training session. Each week he plans to increase the distance of his run by 1/4 miles.
Let w be the number of weeks. Write an expression to show the distance Kane run in a training session after weeks.
PLEASE HURRY
in 6th grade explanation
Answer:
m = 0.25w + 3
Step-by-step explanation:
let m = miles
The basic fixed distance is 3 miles
And he adds 0.25 miles every week, for w weeks
So the equation is m = 0.25w + 3
-Chetan K
Describe how to transform the graph of f(x) = ⎜x⎟ to obtain the graph of the related function g(x). Then draw the graph of g.
Answer:
ssss
Step-by-step explanation:
dddd
Solve for X
[tex]\frac{2x+9}{5} \leq \frac{7x-5}{6}[/tex]
Give answer as an improper fraction in its simplest form
Help!! You have about 4+ hours to answer!! Help!!
Answer:
I think I'm doing this right?
Step-by-step explanation:
4.3
----
a. 4.3
b. 4.3
c. 4
Answer:
1. 4.30
2. 4.3
3. 4
Step-by-step explanation:
a. hundredths
4.30 is exactly in between 4.29 and 4.31
a. at the top: 4.31
a. at the bottom: 4.29
a. in the middle: 4.30
b. tenths
4.3 is exactly in between 4.2 and 4.4
b. at the top: 4.4
b. at the bottom: 4.2
b. in the middle: 4.3
c. ones
4 is in the middle of 3 and 5
c. at the top: 3
c. at the bottom: 5
c. in the middle: 4
State what additional information is required in order to know that the triangles are congruent for the reason given. If possible, write the triangle congruence statement.
refer to attachment
Answer:
SU ≅ RPΔPQR ≅ ΔUTSStep-by-step explanation:
For SSS congruence, all three pairs of sides must be marked as congruent. That is, there needs to be 3 hash marks on sides SU and RP. (Note the order of the vertices.)
needed: SU ≅ RP
If we label the triangles in order by hash marks, the congruence statement becomes ...
ΔPQR ≅ ΔUTS
What is the measure of _____?
Answer:
112°
Step-by-step explanation:
3x+22+2x+8=180
5x+30=180
5x=150
x=30
3x+22
3(30)+22
90+22
112
Write an expression to represent:
Nine less than the quotient of two and a number z.
Answer:
2 / z - 9
Step-by-step explanation:
Don't worry division always goes before subtraction so you don't need any parenthesis.
Tell me if I'm wrong :)
(Score for Question 3:
of 3 points)
3. Describe the transformation that takes
(x)=x+1 to g(x) = -x +4.
Answer:
Answer:
It's a rotation of 90 degrees - doesn't matter which way - around the intersection of the two lines
Step-by-step explanation:
Claim: it's a 90 degree rotation around the intersection of f and g.
It's easy to spot the two lines are perpendicular. Let's assume the rotation doesn't happen at the point of intersection [tex]x_0[/tex], but slightly to the side, around let's say, [tex]x_0+\epsilon[/tex]; the new line will coincide with [tex]g(x)[/tex] if and only if [tex]\epsilon = 0[/tex], ie only the rotation happens around the intersection.
9. Which of the following relations are functions? Choose all that apply. Assume that each different variable
has a different value.
{(a,b),(0,0),(c.c),(e,d)}
{(c,e),(c,d),(0,b)}
{(6,5),(c,d),(d.c),(0,0)}
{(a,b),(b,c),(c,d),(d,e)}
Answer:
A and c sorry if I'm wrong
Solve for x
x/4=4/10
Give your answer as an improper fraction in its simplest form.
Answer:
1.6
hope this helps you!!!!!!!
Step-by-step explanation:
the answer which I have solved is in the image if you have any query then please ask...
what’s the system for 5x+21y=103 and -5x+23y=29
please help for brainlist you need to be accurate tho
Answer:
3.5t +5
Step-by-step explanation:
We are looking for the total distance
5 miles is the first distance traveled.
Then after the break they travel at a rate of 3.5 miles per hour for t hours
That distance is 3.5t
The total distance traveled is
5+3.5t
Rewriting the order
3.5t +5