Step-by-step explanation:
[tex]3x + 3x + 1 + 3x + 2 = 39 \\ 9x + 3 = 39 \\ 9x = 39 - 3 \\ 9x = 36 \\ x = \frac{36}{9} \\ x = 4[/tex]
Answer:
x = 4
Step-by-step explanation:
combine all of the 3x first to get:
9x + 1 + 2 = 39
9x + 3 = 39
subtract 3 from both sides:
9x = 36
divide by 9
x = 4
25)
Jackson's current salary is $36,000 per year. Each year his salary is 1.04 times the previous yeal's salary. What
will his salary be in his 5th year?
OA) $42,214.92
OB) $42,114.91
Answer:
$43,799.50
Step-by-step explanation:
USing the formula:
A = P(1+r)ⁿ
n is the time = 5
1 + r = 1.04
P = 36,000
Substitute the values into the formula
A = 36000(1.04)⁵
A = 36,000(1.2166529024)
A = 43,799.50
Hence the value in the fifth year will e $43,799.50
Mr. Ramadhan wants to save money to buy a house so he puts 21% of his earnings into his savings account. How much money does he save for his house?
Answer:
79%
Step-by-step explanation:
He has 100% to start off. If he puts 21% into savings you subtract that from the starting amount. 100 - 21 = 79. Therefore the answer is 79%.
Answer
well how much is his earnings?
Step-by-step explanation:
5 – 2x = 3 what is x?
Answer: x=1
Step-by-step explanation:
To solve for x, we want to isoate the variable.
5-2x=3 [subtract both sides by 5]
-2x=-2 [divide both sides by -2]
x=1
Now, we know that x=1.
Answer:
X = 1
Step-by-step explanation:
Add 2x to both sides of the equation
5-2x+2x=3+2x
5+0=3+2x
Subtract 3 from both sides of the equation
5-3=3-3+2x
2=0+2x
2x=2
x=2/2
X = 1
Assume that the radius of the hydrogen nucleus is 1.4 · 10-15 meters. How much larger than the nucleus is the entire hydrogen atom? (Calculate the atomic radius for n = 1. Round answer to nearest tenth.)
________times larger than the nucleus.
(A). 3.8 x 10⁴
(B). 3.8 x 10¹⁴
(C). 3.8 x 10^-5
(15 points reward)
Answer:
A
Step-by-step explanation:
I did not look up the actual numbers, but it can only be A.
of course, the whole aim is larger than the nucleus, which is why C is impossible with its negative exponent (which would make the whole aim smaller than the nucleus).
and B. can't be true, because it is so big 10¹⁴ times bigger than a 10-¹⁵ atom ? this would make the whole atom the size of about 10-¹ meters. so, 10 cm. a single hydrogen atom would be bigger than a tennis ball. which it isn't.
so, that only leaves A.
this is a geometry question, i need something quickly :)
Answer:
hope it helps mark me brainlieast!
Step-by-step explanation:
For triangle ABC with sides a,b,c labeled in the usual way,
c2=a2+b2−2abcosC
We can easily solve for angle C .
2abcosC=a2+b2−c2
cosC=a2+b2−c22ab
C=arccosa2+b2−c22ab
That’s the formula for getting the angle of a triangle from its sides.
The Law of Cosines has no exceptions and ambiguities, unlike many other trig formulas. Each possible value for a cosine maps uniquely to a triangle angle, and vice versa, a true bijection between cosines and triangle angles. Increasing cosines corresponds to smaller angles.
−1≤cosC≤1
0∘≤C≤180∘
We needed to include the degenerate triangle angles, 0∘ and 180∘, among the triangle angles to capture the full range of the cosine. Degenerate triangles aren’t triangles, but they do correspond to a valid configuration of three points, namely three collinear points.
The Law of Cosines, together with sin2θ+cos2θ=1 , is all we need to derive most of trigonometry. C=90∘ gives the Pythagorean Theorem; C=0 and C=180∘ give the foundational but often unnamed Segment Addition Theorem, and the Law of Sines is in there as well, which I’ll leave for you to find, just a few steps from cosC= … above. (Hint: the Law of Cosines applies to all three angles in a triangle.)
The Triangle Angle Sum Theorem, A+B+C=180∘ , is a bit hard to tease out. Substituting the Law of Sines into the Law of Cosines we get the very cool
2sinAsinBcosC=sin2A+sin2B−sin2C
Showing that’s the same as A+B+C=180∘ is a challenge I’ll leave for you.
In Rational Trigonometry instead of angle we use spreads, squared sines, and the squared form of the formula we just found is the Triple Spread Formula,
4sin2Asin2B(1−sin2C)=(sin2A+sin2B−sin2C)2
true precisely when ±A±B±C=180∘k , integer k, for some k and combination of signs.
This is written in RT in an inverted notation, for triangle abc with vertices little a,b,c which we conflate with spreads a,b,c,
(a+b−c)2=4ab(1−c)
Very tidy. It’s an often challenging third degree equation to find the spreads corresponding to angles that add to 180∘ or zero, but it’s a whole lot cleaner than the trip through the transcendental tunnel and back, which almost inevitably forces approximation.
find the equation of the median from b in ABC whose vertices are (1,5), B(5,3) and C(-3, -2)
Answer:
y = x + 6
x = 1
y = ¼(x - 5) + 3
Step-by-step explanation:
Vetices are;
A(1,5), B(5,3) and C(-3, -2)
Thus;
Median of AB is; D = (1 + 5)/2, (5 + 3)/2
D = (3, 4)
Median of BC is; E = (5 + (-3))/2, (3 + (-2))/2
E = (1, 0.5)
Median of AC is; F ; (-3 + 1)/2, (-2 + 5)/2
F = (-1, 1.5)
Thus, the median lines will be;
CD, AE & BF.
Thus;
Equation of CD is;
(y - (-3))/(x - (-2)) = (-2 - 4))/(-3 - 3)
(y + 4)/(x + 2) = -6/-6
y - 4 = 1(x + 2)
y = 4 + x + 2
y = x + 6
Equation of AE;
(y - 5)/(x - 1) = (0.5 - 5)/(1 - 1)
(y - 5)/(x - 1) = -4.5/0
Cross multiply to get;
0(y - 5) = -4.5(x - 1)
-4.5x = -4.5
x = 1
Equation of BF;
(y - 3)/(x - 5) = (1.5 - 3)/(-1 - 5)
(y - 3)/(x - 5) = -1.5/-6
(y - 3)/(x - 5) = 1/4
y - 3 = ¼(x - 5)
y = ¼(x - 5) + 3
Find x in the right triangle (not drawn to scale):
Find the value of a.
A. 16
B. 38.5
C. 15
D. 10
Answer:
Step-by-step explanation:
divide 60/31 55/46 the answer you multiply
Can you answer this math homework? Please!
Answer:
1. one solution (2.5, 0)
2. D. x-5/2y = 25/2
3. No solution
4. (0,2)
5. y = 4x + 5
Step-by-step explanation:
Someone help me please
Answer:
The x intercept is (-7.5,0) and the y-intercept is (0,5.5)
Scarlett tried to shade all the factors of 15 on the hundred chart.What mistake did Scarlett make? A.Scarlett shaded the factors of 5 instead of the factors of 15. B.Scarlett did not make a mistake. C.Scarlett shaded the multiples instead of the factors of 15. D.Scarlett shaded 15, but factors are always less than the number.
Answer:
C. Scarlett shaded the multiples instead of the factors of 15
Step-by-step explanation:
Scarlett tried to shade all the factors of 15 on the hundred chart 15,45,75,30,60,90 What mistake did she make
She shaded 15,45,75,30,60,90 on the chart
Factors of 15 are 1, 3, 5 and 15
15, 45, 75, 30, 60, 90 are multiples of 15
That is,
15 × 1 = 15
15 × 3 = 45
15 × 5 = 75
15 × 2 = 30
15 × 4 = 60
15 × 6 = 90
Therefore Scarlett's mistake is:
C. Scarlett shaded the multiples instead of the factors of 15
Which rate is equivalent to $800 per 40 hours?
2. Given: HM = VM, and ZH and cV Triangle congruence criteria,
are right angles.
Is AGHM = AUVM?
sss
SAS
ASA
AAS
HL
G
I
M
V
U
llahkdaclicka. ima answer this
Answer:
?
Step-by-step explanation:
help me with this math question
Answer: A. In 2015 there will be more seagulls than chickadees.
Step-by-step explanation: if you look at the chart you can see the seagull population keeps growing and the chickadee population keeps decreasing.
The fence posts need to be painted Each post is round with a diameter of 50mm and length of 2.5m. The posts are hollow (no top or bottom) Now work out the surface area of a single fence post
Answer:
0.3927 m²
Step-by-step explanation:
Since a post is open at both ends, then it means it has no top nor bottom and as such the surface area is;
S.A = 2πrh
Where;
r is radius
h is height
We are given;
diameter; d = 50mm = 0.05 m
We know that; radius = diameter/2 = 0.05/2 = 0.025 m
Height; h = 2.5 m
Thus;
S.A = 2 × π × 0.025 × 2.5
S.A = 0.3927 m²
In the given figure AOB is a straight line find the value of x.
Please tell the correct answer..
Answer:
2x+5x+3x=180°
10x=180°
x=180/10
x=18° ans..
Answer:
18
Step-by-step explanation:
Sum of angles in a straight line is 180,
2x + 5x + 3x = 180
10x = 180
x = 180 / 10
x = 18
Find sin X.
a. sin X= 4/5
b. sin X= 3/4
c. sin X= 3/5
d. sin X= 5/4
Answer:
sin X = 4/5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin X = opp side/ hypotenuse
sin X = 36/45
= 4/5
Let's find the value of sin X,
→ opp/hyp
→ 36/45
→ 4/5
The required answer will be,
→ a. sin X= 4/5
So, option (a) is the answer.
A random sample of 13 teenagers were surveyed for a hypothesis test about the mean weekly amount spent on convenience goods. Researchers conduct a one-mean hypothesis test, at the 1% significance level, to test whether the average spent per week on convenience goods is greater than 50 dollars.
Answer:
Please find the complete question and the graph in the attached file.
Step-by-step explanation:
On the basis of the data,
The level of importance is [tex]\alpha = 0.01[/tex]
Freedom levels [tex]= n -1 = 13 -1 = 12[/tex]
For the right-tailed test, the critical value is [tex]t_c = 2.681[/tex]
(Partially t-table permitted [tex]\alpha = 0.01 \ and\ df =12[/tex])
Can someone help me with this math homework please!
Answer:
It's 2, 1, and y = 2x + 1.
Step-by-step explanation:
You can see the rise is 2 and the run is 1, making the slope = 2, and the y-intercept is 1 because that is where it crosses the y axis. Once you have the slope and y intercept, you can put it in a function, with the form being y=2x+1, the slope being the number before the x and the y-int value being after the x.
Answer:
1. 2
2. 1
3. y = 2x+1
Step-by-step explanation:
1. [tex]\frac{rise}{run}[/tex]
2. Where does the line cross the y-axis?
3. y = mx+b
m= slope
b = y-intercept
Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth. 12,7,12,9,2,15,6,6,6,1,11
Expand and simplify
3(4m - 3t)-2(m – 2t)
Answer:
10m-5t
Step-by-step explanation:
3(4m-3t) - 2(m-2t)
(12m - 9t) + (-2m+4t)
12m-2m - 9t+4t
10m-5t
Answer:
Step-by-step explanation:
3(4m - 3t) = 12m - 9t
-2(m - 2t) = -2m + 4t
Write the 2 terms together.
12m - 9t -2m + 4x
12m - 2m - 9t + 4t
10m - 5t
What is the slope-intercept form is?
What x-value are a solution to the system? (select EACH correct answer)
Step-by-step explanation:
the answer is correct and helpful
x=1
Abel bought a mini hi-fi set for S600.
He sold it to Bob at a loss of 20%.
Bob sold it to Charles and made a profit of 5%. How much did Charles pay for it?
Answer:
$504
$600* .8 = $480
$480 * 1.05 = $504
Step-by-step explanation:
Answer:
Step-by-step explanation:
Abel:
Cost price = $ 600
Loss = 20%
Selling price = [tex]\frac{100-loss}{100}*Cost \ price[/tex]
[tex]= \frac{(100-20)}{100}*600\\\\=\frac{80}{100}*600[/tex]
= 80 * 6 = $ 480
Cost price for Bob = Selling price of Abel = $ 480
Bob's cost Price = $480
Selling price = [tex]\frac{100+Profit}{100}*CP\\\\[/tex]
[tex]= \frac{100+5}{100}*480\\=\frac{105}{100}*480[/tex]
= $ 504
Amount paid by Charles =$ 504
Parallelogram PARL is similar to parallelogram WXYZ. If AP = 18, PL = 24, and WZ = 96, find the value of c.
A. 4
B.96
C.42
D.72
somebody can help me
Answer: c = 72
Step-by-step explanation:
You didn't tell us which segment has a length of c, but I'm assuming you meant WX because it corresponds to PA. If two figures are similar, we know that their side length are in proportion. With this, we can set up our proportion[tex]\frac{18}{24} =\frac{c}{96}[/tex] where c is the length of WX. By cross multiplying and dividing, you get 72 for the value of c.
Which statement are true regarding undefinable terms in geometry
Answer:
A plane has an unlimited number of points.
Step-by-step explanation:
A plane has an unlimited number of points.
An exact solution represents a point's position on the coordinate plane (x, y).
Even though a point has no dimensionality, the second assertion is incorrect.
Because a linear has only one component, length, the third assertion is likewise incorrect.
a: A point has no length or width.
B: a point indicates a location in a coordinate plane.
E: a plane consists of an ifinite plans
F: a line consists of an infinite set of points.
Simplify the expression.
4 * 22 ÷ 2 + 2
Answer:
46
Step-by-step explanation:
4 * 22 ÷ 2 + 2
Multiply and divide from left to right
88 ÷ 2 + 2
44 +2
Add
46
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{4\times22}{2}+2}[/tex]
[tex]\mathsf{4\times22 = \bf 88}[/tex]
[tex]\mathsf{\dfrac{88}{2}+2}[/tex]
[tex]\mathsf{\dfrac{88}{2}=\bf 44}[/tex]
[tex]\mathsf{= 44 + 2}[/tex]
[tex]\mathsf{\bf = 46}[/tex]
[tex]\huge\checkmark\boxed{\huge\textsf{Possible answer \#1: \bf 46}}\huge\checkmark[/tex]
[tex]\huge\text{OR........}[/tex]
[tex]\mathsf{\dfrac{4\times2^2}{2}+2}[/tex]
[tex]\mathsf{2^2}[/tex]
[tex]\mathsf{= 2\times2}[/tex]
[tex]\mathsf{= \bf 4}[/tex]
[tex]\mathsf{= \dfrac{4\times4}{2}+2}[/tex]
[tex]\mathsf{4\times4}[/tex]
[tex]\mathsf{\bf = 16}[/tex]
[tex]\mathsf{= \dfrac{16}{2}+2}[/tex]
[tex]\mathsf{\dfrac{16}{2}}[/tex]
[tex]\mathsf{= \bf 8}[/tex]
[tex]\mathsf{= 8 + 2}[/tex]
[tex]\mathsf{\bf = 10}[/tex]
[tex]\huge\checkmark\boxed{\huge\textsf{Possible answer \#2: \bf 10}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
PLS HELP!!!!
Determine the value of x.
A) 160°
B) 78°
C) 240°
D) 80°
Answer:
D) 80°
Step-by-step explanation:
(n - 2)180 = 4(180) = 720
78 + 134 + 136 + 132 + 2x + x = 720
3x + 480 = 720
3x = 240
x = 80
Answer:
The answer is D:80 degrees.
Step-by-step explanation:
What is the x-intercept of the line with equation 3y - 8x = 10? Represent your answer as a point in (x, y) form.
The solution is
Answer:
(-1.25, 0) or (-5/4, 0)
Step-by-step explanation:
The x-intercept is when y = 0, so let's plug 0 into the equation:
3(0) - 8x = 10
Now we use basic algebra to solve for x:
0 - 8x = 10
-8x = 10
x = -5/4 or -1.25
So the answer is (-1.25, 0) or (-5/4, 0).
Hope this helps (●'◡'●)