The system of equations 6x+4y=14 and 9x+6y=c are linear equations
The value of c that makes the system have infinitely many solutions is 21
How to determine the value of c?The system of equations are given as:
6x+4y=14
9x+6y=c
Divide through the second equation by 3
3x + 2y = c/3
Multiply through by 2
6x + 4y = 2c/3
Subtract the first equation from the above equation
6x - 6x + 4y - 4y = 2c/3 - 14
Evaluate the differences
2c/3 - 14 = 0
Add 14 to both sides
2c/3 = 14
Multiply by 3/2
c = 21
Hence, the value of c that makes the system have infinitely many solutions is 21
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questions in the picture below
Answer:
Answer is
a) 50%
b) 20%
c) 40%
Step-by-step explanation:
NEED HELP ASAPPPPPP!!!!!!
Answer:
D
Step-by-step explanation:
K/1 = (QD)/(AT)
(K)(A)(T) = (Q)(D)
A = QD/KT
Each passenger on an airplane can take two suitcases, and each suitcase can
weigh no more than 50 pounds. If there are 120 passengers and each passenger
takes the maximum weight of luggage allowed, how many tons of luggage will
there be on the plane?
Answer:
6 tons
Step-by-step explanation:
So we know there are 120 passengers. If they all take the limit, which is 50 pounds each, we can multiply the 2 figures to get 120*50=6000 pounds. Since the question is asking us to answer in tons, we must convert 6000 pounds into tons. We can do this by using the convertion factor of 2000 lbs = 1 ton. With this logic, 6000 pounds equals 3 tons. But remember, each passenger can take 2 luggages. So just multiply by 2 to get 6 tons!
I hope this helped!
Please mark brainliest! I really need it. It would be very much appreciated.
Tayshawn is going to spend 35% of his money on a gift for his mother. If the gift costs $42 how much money does Tayshawn have
6th grade
well, he has "x", which oddly enough is 100%, and we also know that 42 is 35% of that, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 42& 35 \end{array} \implies \cfrac{x}{42}=\cfrac{100}{35}\implies \cfrac{x}{42}=\cfrac{20}{7} \\\\\\ 7x=840\implies x=\cfrac{840}{7}\implies x=120[/tex]
In pensacola in june, high tide was at noon. the water level at high tide was 12 feet and 2 feet at low tide. assuming the next high tide is exactly 12 hours later and that the height of the water can be modeled by a cosine curve, find an equation for water level in june for pensacola as a function of time (t). f(t) = 12 cospi over 2t 5 f(t) = 5 cospi over 2t 12 f(t) = 5 cospi over 6t 7 f(t) = 7 cospi over 6t 12
An equation for water level in june for pensacola as a function of time (t) is f(t) = 5 cos pi/6 t + 7.
Which equation of cos show period amplitude ?
The equation given below show aplitude and period
[tex]y = A cos bx + c[/tex]
where A = amplitude,
b = 2 pi/Period,
Period = 12 hrs,
c = midline,
x = t and y = f(t)
We have to find the amplitude
What is the formula for the amplitude?
[tex]A = 1/2 (Xmax - Xmin)[/tex]
[tex]12 - 2 / 2 = 10/2 = 5[/tex]
[tex]b = 2 pi / 12 = pi/6[/tex]
[tex]c = 1/2 (Xmax + Xmin)[/tex]
[tex]12+2/2 = 7[/tex]
Therefore, the an equation for water level in june for pensacola as a function of time (t)
[tex]f(t) = 5 cos pi/6 t + 7[/tex]
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Which decimal is the best approximation of √26?
5.1
5.5
5.9
I don't know.
Answer:
5.1
Step-by-step explanation:
√26 = 5.099
5.099 is approximately 5.1
Answer:
5.1
Step-by-step explanation:
k12 quiz :)
What is the volume of this container?
Answer:
1,253 in³
Step-by-step explanation:
The container can be split into two rectangular prisms. Adding their volumes together will give us the volume of the container.
The formula for the volume of a rectangular prism is length×width×height or base×height
Let's substitute!
(l×w×h)+(l×w×h)
=(7×5×5)+(11×14×7)
=175+1078
=1,253 in³
Hope this helps!
Select all ratios equivalent to 3:5.
13:30
4:15
6:10
Answer:
6:10
Step-by-step explanation:
3:5 is equivalent to 6:10 because you multiply both 3 and 5 by 2 and you get 6:10. every thing else is wrong
Answer:
6:10 is the only ratio equivalent to 3:5
Step-by-step explanation:
its not the first one because 5 goes into 30 6 times and 3*6=18 not 13
4:15 isn't possible either because 5 goes into 15 3 times and 3*3=9 not 4
the last one is correct because 3*2=6 and 5*2=10
The population of the high school increases by 10% each year what would B= in the form of y=a(b)^x
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &a\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=\textit{elapsed time}\dotfill &x\\ \end{cases} \\\\\\ A=a(1 + 0.10)^{x}\implies A=a(1.1)^x~\hfill \boxed{y=a(1.1)^x}[/tex]
please give me complete working and explanation and I will mark you as brainliest!
Answer:
she spent 5,536 more dollars π
Step-by-step explanation:
10,535 - 4,999= 5,536
thats how much more money it cost than the stove.
consider the right triangle
8 in. 5 in. x
what is x
x²= 8²-5²
=39
x=V39
..........
I guessed Supplementary, but I think I'm just not understanding, help
State whether each of the statements below is true or false.
Write down your reasoning and give a counter-example for any
statement you believe is false
a All isosceles triangles are similar.
b All equilateral triangles are similar.
C All right-angled triangles are similar.
d All right-angled triangles with an angle of 30° are similar.
e All right-angled isosceles triangles are similar.
f No pair of scalene triangles are ever similar.
Answer:
a)True
b)True
c) False
d) True
e)True
f) True
A bag contains 7 marbles 3 red 2 blue 2 green what is the probability of picking a green marble. answer as a percent
Answer:
28.57%
Step-by-step explanation:
to find the probability of something being picked you divide the amount of what your trying to get (2) by the total amount of what's in it (7).
2÷7=.2857
to turn it into a percentage we move the decimal point 2 to the right
28.57
what is the total price of a $20,000 car plus 8.5% sales tax ?
a. Complete the table.
х
f(x) = 2(2)*
=
-2 -1
0
1
2
1
Answer:
1/2,1,2,4,8 in order
Step-by-step explanation:
Given:
[tex]\displaystyle \large{f(x)=2(2)^x}[/tex]
The function can be simplified to:
[tex]\displaystyle \large{f(x)=2^{x+1}}[/tex] via law of exponent.
Recall:
[tex]\displaystyle \large{a^m\cdot a^n=a^{m+n}}[/tex]
Next, substitute given x-values in:
[tex]\displaystyle \large{f(-2)=2^{-2+1}=2^{-1}=\dfrac{1}{2}}\\\displaystyle \large{f(-1)=2^{-1+1}=2^0=1}\\\displaystyle \large{f(0)=2^{0+1}=2^1=2}\\\displaystyle \large{f(1)=2^{1+1}=2^2=4}\\\displaystyle \lage{f(2)=2^{2+1}=2^3=8}[/tex]
Therefore, the solution is 1/2,1,2,4,8
The following box plot shows the class scores on a particular math test:
10
20
30
70
80
90
100
40 50 60
Percent
Which of the following data sets is represented in the box plot?
{40, 50, 50, 77, 77, 100)
{0.50, 60, 75, 85, 100)
{50, 60, 60, 75, 75, 85, 85, 100)
[60, 65, 70, 75, 85, 85, 85)
Answer:
maybe the third one and i would also like to see the box plot
Step-by-step explanation:
An angle measures 62 degrees less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
40 and 67
Step-by-step explanation:
HELPPPPPP PLSSSSSSSS
Answer:
hmmmm help rin ako po please
help me if you can please?? and thanks! :)))
Answer:
0.0095
Step-by-step explanation:
= 0.009455 ( as they are bigger than 4 )
= 0.0095
Rachel is going for a walk. She walks 6.4 miles in 4 hours. What is her speed
Answer:
[tex]speed= \frac{6.4}{4} = 1.6[/tex]
.....
What is the area of the beach ball with a diameter of 14 in. ?
Answer:
The answer is 675.75 square Inches
Step-by-step explanation:
Given;Diameter (d) = 14 in.To Find;Area of beach ball = ?Formula;Area = 4πr²Now,
Radius (r) = diameter ÷ 2
r = 14/2 in.
r = 7 in.
Now,
A = 4πr²
A = 4 × 22/7 × (7)² in.
A = 4 × 22 × 7 in.
A = 615.75 square in.
Thus, The area of the beach ball with a diameter of 14 in. is 615.75 square in.
Answer:
615.8 in²
Step-by-step explanation:
The area of a sphere is given by the formula ...
A = 4πr² . . . . . sphere of radius r
In terms of diameter, the area is ...
A = 4π(d/2)² = πd²
__
For a diameter of 14 inches, the area of the beach ball is ...
A = π(14 in)² = 196π in² ≈ 615.8 in²
The area of the ball is about 615.8 square inches.
Plot startroot 1.5 endroot and startroot 1.9 endroot on the number line to find which inequalities are true. check all that apply. startroot 1.5 endroot < 1.5 startroot 1.9 endroot < 1.9 startroot 1.5 endroot < startroot 1.9 endroot 1.2 > startroot 1.5 endroot > 1.3 1.3 < startroot 1.9 endroot < 1.4
The expressions √1.5 and √1.9 are radical expressions
The true inequality about √1.5 and √1.9 is √1.5 < √1.9
How to determine the true inequality?The numbers are given as:
√1.5 and √1.9
Evaluate both root expressions
√1.5 = 1.22
√1.9 = 1.38
By comparison, we have:
1.22 <1.38
Rewrite as:
√1.5 < √1.9
Hence, the true inequality about √1.5 and √1.9 is √1.5 < √1.9
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Kyle know, that if he tosses a coin, there a 50% probability of seeing it land head up . He tossed a coin in air 30 times and saw it land heads up 19 times. What is the difference between the predicted probability and the actual outcome of the coin toss?
Answer:
4 times, 2/15, 4/30
Step-by-step explanation:
The predicted probability is 15/30.
So, 19/30-15/30 IS 4/30, or 2/15.
Help me please it’s algebra
Answer:
80 degrees
Step-by-step explanation:
To convert radians to degrees, multiply by 180π since a full circle is 360° or 2π radians. Cancel the common factor of π. Factor π π out of 4π 4 π.
hope this helps.
I NEED HELP ASAP PLEAS HELP ME
Answer:
m=117
Step-by-step explanation:
So this area is 360 degrees
What you can see the 68 degrees is congruent to its opposing side so we can eliminate those. 360 - 126= 234
We can see m is congruent to U
234/2=117
m=117
Esther is building a tower of cubes. The ratio of red to yellow cubes is 3:1 The tower has 6 yellow cubes. How many red cubes are there? please help me
Answer:
18
Step-by-step explanation:
We can rewrite the question into mathematical forms, such as:
[tex]\frac{3}{1} =\frac{x}{6}[/tex]
solve for x:
[tex]\frac{3}{1} =\frac{x}{6} \\\\3*6=\frac{x}{6}*6\\\\18=x[/tex]
I think of a number and add one fourth of it to half of it and the result is twelve. What is the number I thought of?
Suppose that the number u were thinking about is x thus :
[tex] \frac{1}{4} x + \frac{1}{2} x = 12 \\ [/tex]
Multiply both sides by 4
[tex]4 \times ( \frac{1}{4} x + \frac{1}{2} x) = 4 \times 12 \\ [/tex]
[tex]x + 2x = 48[/tex]
[tex]3x = 48[/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{48}{3 } \\ [/tex]
[tex]x = 16[/tex]
Which is more, 662 feet or
1
8
of a mile?
Answer:
the answer is 662 feet
Step-by-step explanation:
becuase one eighth of a mile is 660 feet
given data 4,x,9,5,2,7 find x if the mode is 4
Answer:
x = 4
Step-by-step explanation:
This is because the definition of mode is the number that appears the most or is the popular of the numbers in the data set.
This could be any number since each number is listed once, but the requirements/directions say the mode is 4 so you need another 4 in order to have a mode of 4.