Answer:
X= - 3
Step-by-step explanation:
Multiply both sides by 2 to remove the division on the LHS
3X - 15=8X
Move 3X to the RHS
-15 =8X - 3X
-15= 5X
Divide both sides by 5
-3 =X
[tex]\boxed{c.\:x\:=\:-3}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{3x - 15}{2} = 4x \\ ⇢ 3x - 15 = 4x \times 2 \\ ⇢ 3x - 15 = 8x \\ ⇢ 3x - 8x = 15 \\ ⇢ - 5x = 15 \\ ⇢ x = \frac{15}{ - 5} \\ ⇢ x = - 3[/tex]
[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]
[tex] \frac{3x - 15}{2} = 4x \\ ⇢ \frac{3 \times (- 3) - 15 }{2} = 4 \times - 3 \\ ⇢ \frac{ - 9 - 15}{2} = - 12 \\ ⇢ \frac{ - 24}{2} = - 12 \\ ⇢ - 12 = - 12 \\ ⇢ L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
$12500 is invested at a compound interest rate of 9% pa. Interest, however,
is compounded monthly. Use the formula to calculate the amount to which
the investment will grow in 4 years.
Answer:
£4500
Step-by-step explanation:
12500 ×9/100
=1125
4 years =1125×4
=£4500
h(x)=x−4h
What is the domain of h?
Answer:
h= x/ x+4
Step-by-step explanation:
Move all terms to the left side and set equal to zero, Then set each factor equal to zero.
pls help lol I don’t understand it at all :((
Answer:
I only know these, I am not sure of the answers too.
Step-by-step explanation:
Types of angles : 20°(acute angle), 90°(right angle)
Key information :
Equation : 20° + x° = 90°
Solution : x = 70°
In C = A + B, what is the value of the entry represented by C41?
OA. -2
OB. 2
Ос.
-16
OD. 16
Answer
C41 = 2
This very simple to do.
First locate the entry in A41 in matrix A. That is the entry in the intersection of the fourth row and first column of matrix A. This entry is 7.
Then multiply by the scalar which is 2 to get,
Next we locate the entry in B41 in matrix B also. Which is 4. We multiply by the scalar of -3 to get,
-3 x 4= -12
We now add these two corresponding entries to obtain,
14+-12= 2
Solve for k.
8(10 - k) = 2k
answer: k=8
Answer:
k=8
explaining the answer
80 - 8K = 2K
The radius of a cylinder is equal to its height, and it has a total
surface area of 500 cm?. Find its height.
Answer:
250
Step-by-step explanation:
Divide the half from the surface area formula and it will give you the correct answer
PLZZZZ HELP I WILL MARK BRAINLIEST!!!
Answer:
41.1 feet of ribbon was leftover
(fraction form: 41 1/10)
Step-by-step explanation:
122 1/2 = 122.5
32 2/5 = 32 4/10 = 32.4
122.5 x 0.4 = 49
122.5 - 49 = 73.5
73.52 - 32.4 = 41.1
41.1
Answer:
Step-by-step explanation:
40% of 122.5 [tex](122\frac{1}{2})[/tex] is 49.
Equation: y=p%·x
p=40% x=122.5
Solve the equation for y.
y=p%·x
y=40%·122.5'
Converting percent to decimal.
p = 40%/100 = 0.4
y=0.4·122.5
y=49
[tex]49-32\frac{2}{5}[/tex]
[tex]49-\frac{162}{5}[/tex]
[tex]\frac{83}{5}[/tex]
[tex]16\frac{3}{5}[/tex]
Answer:
Exactly [tex]16\frac{3}{5}[/tex] feet of ribbon remains.
Which equation should you solve to find x?
Answer:
C
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos24° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] → C
Note
sin24° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{10}[/tex] ( which does not include x )
tan24° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{x}[/tex] ≠ [tex]\frac{x}{4}[/tex]
HELP PLZ ILL GIVE BRAINLIEST
Answer: (a)
Step-by-step explanation:
Given
Polynomial is [tex]-5+x^2+x^3[/tex]
In standard form, Polynomial is written in the form of
[tex]ax^n+bx^{n-1}+cx^{n-2}+dx^{n-3}+\ldots[/tex]
That is leading term must have highest degree
Arranging according to the standard form
[tex]\Rightarrow x^3+x^2-5[/tex]
The above expression is cubic trinomial because degree of x is 3.
Hence, option (a) is correct.
anong uri ito ng NGO/PO?
[tex]_____________________________________[/tex]
ANSWER:Ang uri ng NGO/PO ay isang magagalang na salita saating bansa at ito ay dapat gamitin sa mga nakakatanda saatin upang sa paggalang.Akala ko ako lang Pilipino dito
[tex]_____________________________________[/tex]
꧁____YunaKoharuChan____꧂A rectangular park 60m long and 40m broad is surrounded by a path of 4m. Then the area of path will be:
Answer:
A = 864 m^2
Step-by-step explanation:
For a rectangle of length L and width W, the area is given by:
A = W*L
We know that the park has:
L = 60m
W = 40m
Now, if we surround the whole park with a path that is 4m wide, then the rectangle made by the park and the path has the dimensions:
L' = 60m + 2*4m
W' = 40m + 2*4m
(as you can see in the sketch at the end)
The area of the path will be equal to the difference between the area of the rectangle made of the park + the path, and the area of the park alone.
This is:
A = L'*W' - *W
A = ( 60m + 2*4m)*(40m + 2*4m) - 60m*40m
A = 68m*48m - 60m*40m
A = 864 m^2
PLEASE HELPPPP I NEED THIS FASTTTTT
Answer:
[tex]there \: are \: 8 \: values \\ = \frac{8}{17} \times 100\% \\ = 47\%[/tex]
What two numbers multiply to 7 and add up to -6?
Answer:
-7 and 1 multiply to 7 and add up to -6
Step-by-step explanation:
-7 and 1 multiply to 7 and add up to -6
Susan wants to hire one of two mechanics to repair her car. Each mechanic charges a one-time fee in
addition to an hourly rate.
Mechanic A charges a one-time fee plus $35 per hour. A repair made by Mechanic A that takes 5 hours to
complete will cost a total of $225.
This table shows the total cost, including the one-time fee, for repairs made by Mechanic B that take
different numbers of hours to complete
Mechanic B
Time
(hours)
Total Cost
(dollars)
1
80
2.
120
3
160
4.
200
5
240
6
280
How much more money in dollars does Mechanic A charge for the one-time fee than Mechanic B
charges?
there no table showing mechanic b. but mechanic a charges a one time fee of $50
35 an hour times 5 hours is 175
the total of 225 -175= $50 as a one time fee
Una micra (μm) es una milésima de milímetro. Si la densidad del agua es 1000 kg/m³, ¿cuál es la masa de 10⁹ μm³ de agua?
Answer:
La masa de 10⁹ μm³ de agua es 1 mg.
Step-by-step explanation:
La densidad del agua es:
[tex] d = \frac{m}{V} = 1000 kg/m^{3} [/tex]
En donde:
m: es la masa =?
V: es el volumen = 10⁹ μm³
Para encontrar la masa de agua debemos convertir las unidades del volumen de μm³ a m³:
[tex]V = 10^{9} \mu m^{3}*\frac{1 m^{3}}{(10^{6} \mu m)^{3}} = 10^{-9} m^{3}[/tex]
Ahora, la masa es:
[tex]m = d*V = 1000 kg/m^{3}*10^{-9} m^{3} = 10^{-6} kg = 10^{-3} g = 1 mg[/tex]
Por lo tanto, la masa de 10⁹ μm³ de agua es 1 mg.
Espero que te sea de utilidad!
What's the exact length of BC?
A) 8√3
B) 5√6
C) 12
D) √306
Answer:
The answer is (15)²= (9)²+(BC)²
225=81+(BC)²
BC=√144
BC=12
They also have a pdf for it
copy and paste this pdf it should help you mepanswers.pdfStep-by-step explanation:
Five and one half of 2 and one third is what number?
Given:
Five and one half of 2 and one third.
To find:
The number for the given statement.
Solution:
Five and one half = [tex]5\dfrac{1}{2}[/tex]
2 and one third = [tex]2\dfrac{1}{3}[/tex]
The given statement is five and one half of 2 and one third.
Here, the word "of" is used for multiplication.
So, the expression for the given statement is:
[tex]5\dfrac{1}{2}\times 2\dfrac{1}{3}[/tex]
[tex]=\dfrac{10+1}{2}\times \dfrac{6+1}{3}[/tex]
[tex]=\dfrac{11}{2}\times \dfrac{7}{3}[/tex]
[tex]=\dfrac{77}{6}[/tex]
Therefore, the required number is [tex]\dfrac{77}{6}[/tex].
Which graph best represents the solution to the following pair of equations?
y = 4x + 2
y = x + 5
Answer:
The first picture with the (1,6)
Step-by-step explanation:
If you plug in the numbers in the equations you will see that they both equal 6.
6=4(1)+2
6=4+2
6=6
6= (1)+5
6=6
A small toy block shaped like a right rectangular prism measures 6 cm long, 3 cm wide, and 2 cm high. What is the volume of the toy block?
36cm³
Step-by-step explanation:
Volume= mass
density
There are 5 billiard balls in a velvet bag. Three
of the balls are striped and the other 2 are
solid. What's the probability of pulling out a
striped ball? Write your answer as a fraction.
Answer:
3/5
Step-by-step explanation:
1.) Write an equation of the line that passes through the point (3,-2) and is
perpendicular to y=-1/2X+4.*
Your answer
Answer:
y = 2x - 8
Step-by-step explanation:
Brittany stamps 20 letters in 1
hour. How many hours will it
take her to stamp 380 letters?
I NEED THIS ANSWERED ASAP PLEASE HELP!!! select the correct answer for points
Answer:
C. 120°
Step-by-step explanation:
length of arc = 4π cm
r = 6 cm
central angle = s/r
=> central angle = 4π/6
=> central angle = 2π/3 radians
In degrees,
central angle = (2π/3)(180/π) = 120°
hope this helps and is right. p.s i really need brainliest :)
Which graph has a range of (-inifinty,O]
Explain what you think
Answer:
Step-by-step explanation:
It's the graph on the left. First of all, range is a y-value thing (as opposed to an x-value thing). If we "read" that range from left to right, we have to begin our range interval at -∞, which actually has no beginning, and end our range interval at 0. The graph on the left goes does into infinity and maxes out at 0. (The one on the right starts at 0 and goes up into +∞).
Which is the range of the relation y = 2x2 + 3x if the domain is the set {-2, -1, 0}?
A {10,1,0)
B.{-1,-5,0)
c. {2,-1,0)
D. (2. 1.0)
Given:
The function is:
[tex]y=2x^2+3x[/tex]
Domain is the set {-2, -1, 0).
To find:
The range of the given relation.
Solution:
We have,
[tex]y=2x^2+3x[/tex]
Substituting [tex]x=-2[/tex], we get
[tex]y=2(-2)^2+3(-2)[/tex]
[tex]y=2(4)+(-6)[/tex]
[tex]y=8-6[/tex]
[tex]y=2[/tex]
Substituting [tex]x=-1[/tex], we get
[tex]y=2(-1)^2+3(-1)[/tex]
[tex]y=2(1)+(-3)[/tex]
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
Substituting [tex]x=0[/tex], we get
[tex]y=2(0)^2+3(0)[/tex]
[tex]y=0+0[/tex]
[tex]y=0[/tex]
The range for the given relation is {2, -1,0}. Therefore, the correct option is (c).
so
The final step in any equation is this
A. X=3
B. X=4
C. X=5
D. X=6
E. X=7
Solve the inequality -8m < 24
Answer:
m > -3
Step-by-step explanation:
-8m/-8 < 24/-8
when dividing by a negative number the sign changes
m > -3
Can someone please help me with my homework
Answer:
a=-1 goes to the third graph (because it's negative so obviously it's a sad smile)
a=1 goes to the first graph
a=0.25 goes to the second graph
Step-by-step explanation:
The smaller the value of a, the wider the the parabola would be. If the value of a is large then the parabola becomes smol
hi pls help i’ll give brainliest
Answer:
Nuclear fusion that takes place between hydrogen atoms.
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
Like most stars, the sun is made up mostly of hydrogen and helium atoms in a plasma state. The sun generates energy from a process called nuclear fusion. During nuclear fusion, the high pressure and temperature in the sun's core cause nuclei to separate from their electrons.