Answer:
h = 2 and k = 1.5
Step-by-step explanation:
The solution is, Solve of the system of equations. using elimination,
6h=2k+9 & 3h+4k=12 is, h = 2 & k=3/2.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
given that, the system of equations.
6h-2k=9.......(1)
3h+4k=12 ...........(2)
now, for solving, multiply (1) by 2 & add with (2),
we get,
12h - 4k = 18
3h + 4k = 12
---------------------
15h = 30
i.e. h = 2
from (1), we get, k = 3/2
Hence, The solution is, Solve of the system of equations. using elimination,
6h=2k+9 & 3h+4k=12 is, h = 2 & k=3/2.
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on a piece of paper graph y+45 ;*- 2. Then determine which answer
choice matches the graph you Drew.
Answer:its Graph C
(According to the law of Nicoloas Sadi Carnot)
-3/11 + 5/9 can you pls explain this step by step
Answer:
[tex]\frac{28}{9}[/tex]
Step-by-step explanation:
[tex]\frac{-3}{11} +\frac{5}{9}[/tex]
[tex]=\frac{-27}{99} +\frac{55}{99}[/tex]
[tex]=\frac{-27+55}{99}[/tex]
[tex]=\frac{28}{99}[/tex]
If €1 is £0.72
What is £1 in €
Answer:
€1.39
Step-by-step explanation:
£0.72 ÷ 0.72 = 1÷0.72
£1= €1.39
A student can walk to school in 3/4 of an hour. She can ride to school in 1/6 of that time. What fraction of an hour does it take the student to bike to school?
Answer:
It takes 1/8 of an hour for the student to bike to school.
Step-by-step explanation:
We want to find 1/6 of 3/4, as that is how long it takes her to ride to school. When taking one fraction of another, we can multiply them. We can apply this to get
1/6 * 3/4 = 3/24 = 1/8. This means that it takes 1/8 of an hour for the student to bike to school.
CAN SOMEBODY PLEASE HELP MEEEE
Answer:
105.
Step-by-step explanation:
.
In MQN, m
a.
Solve for x. Show all work.
b. Find the measure of <1. Show all work.
Answer:
were is the problem
Step-by-step explanation:
Find the volume.
Use = 3.14
cone
h = 14 in.
r = 9.9 in.
in 3
h
Type the correct answer rounded to two
decimal places, pls help it would be so appreciated
Answer:
Volume of the cone given rounded to two decimal places is 1415.65in
Explanation:
Volume of a cone
[tex] = \pi {r}^{2} \frac{h}{3} [/tex]
[tex] = (3.14)( {9.9}^{2} )( \frac{14}{3} )[/tex]
[tex] = 3.14 \: \times \: 98.01 \: \times \: 4.6[/tex]
[tex] = 1415.65644[/tex]
Help me please and thank you :)
Answer:
A
Step-by-step explanation:
We have the equation:
[tex]\displaystyle \frac{3}{8}y=2+x[/tex]
And we want to determine whether or not this represents a direct proportion.
First, let's solve for y. Multiply both sides by 8/3:
[tex]\displaystyle y=\frac{16}{3}+\frac{8}{3}x[/tex]
Remember that direct proportions must pass through the origin point on a graph. In other words, their y-intercept or constant value is zero.
Since the constant value here is not zero (it is 16/3), the equation is not direct proportion.
Our answer is A.
How do I solve for X HELP
Answer:
x = 4 degrees
Step-by-step explanation:
The two angles have the same measurement. They are opposite angles.
26x + 7 = 31x - 13
Group like terms:
26x - 31x = -13 - 7
-5x = -20
x = 4
Check if you want to make sure.
Step-by-step explanation:
[tex]here \: is \: your \: solution : - \\ \\ both \: angles \: are \: equal \: (vertical \: anges) \\ \\ 26x + 7 = 31x - 13 \\ \\ solving \: the \: equation \: \\ \\ 26x - 31x = - 13 - 7 \\ \\ - 5x = 20 \\ \\ x = -20 \div 5 \\ \\ x = \: 4 \: degrees \: \: \: \:(Answer ✓✓✓( \\ \\ \huge\mathcal\blue{happy \: life (. ❛ ᴗ ❛.) }[/tex]
please help!!!
Simplify
3+ 7 X 4
Answer:
31
Step-by-step explanation:
[tex]3+7[/tex] × 4 Multiply first
3 + 28 Then add
31
Solve for x. Round to the nearest tenth, if necessary.
Answer:
15.4 (rounded to 1dp)
Step-by-step explanation:
does anyone know how to solve? I also have more I need help with.
In between 2000 and 90000
Don't use a 2
The prime factorization of K is: K = 3x5x7. List all the composite factors of K.
Answer:
15, 21, 35, 105
Step-by-step explanation:
A composite number is a positive integer that has more than two different factors. For example, composite number include 4, 6, 8, 9, 10, 12, 14, 15, 16, 18...etc.
So, if we multiply 3x5x7=105
All the factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105. So we just need to figure out the factors that are composite which are
15, 21, 35, 105
The list all the composite factors of K : 15, 21, 35, 105
What is prime integer?"It is an integer that has only two different factors 1 and that integer itself."
What is prime factorization of a number?"It is a method to find the prime factors of a given number."
What is composite integer?"It is an integer that has more than two different factors. "
For given question,
The prime factorization of K is:
K = 3 × 5 × 7
This means the number K is, 3 × 5 × 7 = 105
The factors of 105 are: 1, 3, 5, 7, 15, 21, 35, 105.
We need to list all the composite factors of K.
From above factors of 105 we can observe that,
15 has factors 1, 3, 5, 15;
21 has factors 1, 3, 7, 21;
35 has factors 1, 5, 7, 35;
and 105 has more than two factors factors as mentioned above.
This means, the numbers 15, 21, 35 and 105 are composite numbers.
Therefore, the list all the composite factors of K : 15, 21, 35, 105
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Please help!! I don’t understand this.
Domain and rang of these
Answer:
Domain: {-3, -1, 1}
Range: {-1, 2, 4, 5}
Step-by-step explanation:
The domain is all the x-values, and the range is all the y-values. When listing values, repeated values are only written down once.
What is the number that fills in for AD?
the answer is in the picture
Graph the linear function described by the equation
Answer:
a on edge
Step-by-step explanation:
Solve the following pair of linear equations using substitution method
[tex] x-3y = 13[/tex]
[tex]x+2y=8[/tex]
Answer:
(10, - 1 )
Step-by-step explanation:
Given the 2 equations
x - 3y = 13 → (1)
x + 2y = 8 → (2)
Rearrange (1) making x the subject by adding 3y to both sides
x = 3y + 13 → (3)
Substitute x = 3y + 13 into (2)
3y + 13 + 2y = 8
5y + 13 = 8 ( subtract 13 from both sides )
5y = - 5 ( divide both sides by 5 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = 3(- 1) + 13 = - 3 + 13 = 10
solution is (10, - 1 )
A savings account for a car is set up with an initial balance of $3000, and 125 is added every
month (no other transactions occur on the account).
1. Write the expression:
2. Write the equation equal to the $5,000 car goal:
3. M=
4. How long will it take:
Answer:
1) 3000 + 125m
2) 3000 + 125m = 5000
3) M= 16
4) It would take 16 months
Step-by-step explanation:
Okay so no since there are no other transaction and you already have a balance of 3000 with a monthly Fee of 125 the equation shpuld be like this.
So every month you add 125,we dont know how much months we have to pay so we can use the variable given to us in this case “M”. So your base expression should look like this,
3000 + 125m (3000 base fee that doesnt change, and 125 every month fee)
Then it asked us to put it as the final balance as 5000, so using the base expression we can do this
3000 + 125m = 5000
Now to solve it you would solve it like any other equation
5000-3000=2000
2000=125m
2000/125= 16
Okay so m = 16
M in this case stands for months so the final answer would be it would take 16 months to reach the final balance of 5000
help fast pls i need it
Express sin U as a fraction in simplest terms
Answer:
4/5
SOH-CAH-TOA
sin = opposite / hypotenuse
Hypotenuse = sqrt(18^2 + 24^2) = 30
sin 24/30 = 4/5
Step-by-step explanation:
Marlene earns $12,800 per year. 15% is taken from her earnings for taxes. how much money is paid in taxes? how much money is left for Marlene to spend???
Answer:
$1,920
$10,880
Step-by-step explanation:
Amount marlene earns per year = $12,800
Percentage of taxes = 15%
how much money is paid in taxes?
Amount of tax Marlene pays = 15% of $12,800
= 15/100 × $12,800
= 0.15 × $12,800
= $1,920
how much money is left for Marlene to spend?
Amount left for Marlene to spend = Amount marlene earns per year - Amount of tax Marlene pays
= $12,800 - $1,920
= $10,880
How many solutions does the nonlinear system of equations graphed below
have?
• A. One
• B. Two
• C. Four
O D. Zero
SUBMIT
Please can someone work this out please it would reallly help
Answer:
12.25 [tex]\leq[/tex] x < 12.35
Step-by-step explanation:
5 is the cut off when rounding.
If a number to the right is greater than or equal 5, you round up.
If it's less than 5, you drop the number.
So 12.25 would be rounded up to 12.3
12.34 would be rounded to 12.3
How do you get the 12.25?
Subtract .05 from 12.3
How do you get 12.35?
Add .05 to 12.3.
The number in the hundredths place needs to be less than 5 to round down. That's why you use less than symbol.
If two boxes of cereal and a jug of milk cost $8.50, and three boxes of cereal and two jugs of milk cost $14.00, how much does a box of cereal cost?
Answer:
$3
Step-by-step explanation:
Let c represent the cost of a box of cereal and let m represent the cost of a jug of milk.
Create a system of equations:
2c + m = 8.5
3c + 2m = 14
Solve by elimination by multiplying the top equation by -2:
-4c - 2m = -17
3c + 2m = 14
Add them together and solve for c:
-c = -3
c = 3
So, a box of cereal costs $3
A box of cereal cost $3 if two boxes and a jug of milk cost $8.50, and three boxes and two jugs of milk cost $14.00.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, two boxes of cereal and a jug of milk cost $8.50, and three boxes of cereal and two jugs of milk cost $14.00
Let c stand for the price of a box of cereal and m for the price of a milk jug.
The obtained system of equations is as follows,
2c + m = 8.5
3c + 2m = 14
Multiply the top equation by -2 to reach the solution by elimination:
-4c - 2m = -17
3c + 2m = 14
Put them all together to find c:
-c = -3
c = 3
Thus, a box of cereal cost $3 if two boxes and a jug of milk cost $8.50, and three boxes and two jugs of milk cost $14.00.
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help plsss
1/2x^2 =2
If x1 and x2 are the solutions to the equation above,
what is the value of x1 + x2?
A) 0
B) 1
C) 2
D) 4
[tex]\large {\text {$ \sf \cfrac{1}{2x^2} -2 = 0 $}}[/tex]
Now, we will multiply per 2x² both sides of equation...[tex]\large {\text {$ \sf \cfrac{1}{2x^2}\cdot \:2x^2-2\cdot \:2x^2=0\cdot \:2x^2 $}[/tex]
[tex]\searrow[/tex]
[tex]\large {\text {$ \sf 1-4x^2=0$}}[/tex]
We have to write in standard form...[tex]\large {\text {$ \sf -4x^2+1 = 0 $}}[/tex]
[tex]\large {\text{$\sf x=\cfrac{-b\pm\sqrt{b^2-4ac}}{2a} \quad\rightarrow\quad x=\cfrac{-0\pm\sqrt{0^2-4\cdot (-4) \cdot1} }{2\cdot (-4) } \:\rightarrow\:\: x=\cfrac{-0^2 \pm4}{2 \cdot(-4)} $}}[/tex]
[tex]\huge {\text {$ \sf \downarrow$}}[/tex]
[tex]\large {\text {$\sf {\bf x_1} = \cfrac{-0+4}{2\left(-4\right)}= \cfrac{-1}{2} $}}[/tex] [tex]\large {\text {$\sf {\bf x_2 }=\cfrac{-0-4}{2\left(-4\right)} = \cfrac{1}{2} $}}[/tex]
At this point, we're going to add the values of x₁ and x₂:[tex]\large {\boxed {\boxed { \bf x_1 + x_2= -\cfrac{1}{2}+ \cfrac{1}{2} = 0} }}[/tex]
[tex]\huge {\text {$ \it Alternative \: A $}}[/tex]
Can someone help me with this math homework please!
OPTION C
The graph is continuous because there can be fractional values for time
Answer:
(C) The graph is continuous because there can be fractional values for time.
Step-by-step explanation:
There can't be a negative altitude because when it reaches the ground, it has a altitude of zero and can't go further down. However, it's not B because a discrete graph would also mean there would be set times (represented by points on the graph) of the hot air balloon moving. This isn't true, because the hot air ballon moves as time continues, even fractional time values.
So it's C, "The graph is continuous because there can be fractinoal values for time".
Hope it helps (●'◡'●)
Maths assignment
a^4-16
Answer:
[tex]a^4-16[/tex]
[tex]\left(a^2\right)^2-4^2[/tex]
[tex]\left(a^2+4\right)\left(a^2-4\right)[/tex]
[tex]=\left(a^2+4\right)\left(a+2\right)\left(a-2\right)[/tex]
------------------------
Hope it helps...
Have a great day!!
Step-by-step explanation:
The difference of squares: a² - b² factors to (a - b) (a + b)
Let x⁴ = (x²)²
Let 16 = 4²
Now by difference of squares x⁴ - 16 factors as (x² - 4)(x² + 4)
The front factor, (x² - 4), can factor by difference of squares again as (x - 2)(x + 2)
54+54788347589535222
Answer:
54788347589535276
Step-by-step explanation:
you simply add the given values...
As x increases by 1 unit, what is the exponential growth factor??
Given:
The graph of an exponential function.
To find:
The exponential growth factor as x increases by 1 unit.
Solution:
From the given graph, it is clear that the exponential function passes through the points (1,1) and (3,9). So, the equation of the exponential must must be satisfy by these points.
The general exponential function is:
[tex]y=ab^x[/tex] ...(i)
Where, a is the initial value and b is the growth factor.
Putting [tex]x=1,y=1[/tex] in (i), we get
[tex]1=ab^1[/tex] ...(ii)
Putting [tex]x=3,y=9[/tex] in (i), we get
[tex]9=ab^3[/tex] ...(iii)
Divide (iii) by (ii).
[tex]\dfrac{9}{1}=\dfrac{ab^3}{ab}[/tex]
[tex]9=b^2[/tex]
[tex]3=b[/tex]
b is the the growth factor and the value of b is 3.
Therefore, the exponential growth factor is 3 as x increases by 1 unit.
Answer:
exponential growth factor is 3
Step-by-step explanation: