The equation that can pair with x + 2y = 5 to generate an inconsistent system is given by:
2x + 4y = 3.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
A inconsistent system is a system that has no solution, that is, when the coefficients of x and y are multiplies, but the result is not. Hence, the option that gives an inconsistent system is given by:
2x + 4y = 3.
As when we try to solve the system, we would end up with the following situation:
[tex]0x = c, c \neq 0[/tex].
Which is impossible.
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Find the probability of exactly 3 successes p = 0.6, n = 5
Answer:
0.3456 = 34.56%
Step-by-step explanation:
Binomial distribution
[tex]\displaystyle P(X=x)=\binom{n}{x} \cdot p^x \cdot (1-p)^{n-x}[/tex]
where:
n = number of trialsp = probability of successGiven:
p = 0.6n = 5x = 3Substitute the given values into the formula:
[tex]\begin{aligned}\implies \displaystyle P(X=3) & =\binom{5}{3} \cdot 0.6^3 \cdot (1-0.6)^{5-3}\\ & = \dfrac{5!}{3!(5-3)!}\cdot 0.6^3 \cdot 0.4^2\\ & = 10 \cdot 0.216 \cdot 0.16\\ & =0.3456\end{aligned}[/tex]
Therefore, the probability of exactly 3 successes is 0.3456 = 34.56%
find x so that x+3, 2x+1, and 5x+2 are consecutive terms of an arithmetic sequence
Answer:
x = -3/2
Step-by-step explanation:
x + 3 + d = 2x + 1 First term plus common difference = 2nd term
x -2 = d
x + 3 + 2d = 5x+2 First term + 2 d = third term re-arrange:
4x-1 = 2d sub in the definition of d from above
4x -1 = 2 (x-2)
4x-1 = 2x-4
2x = -3
x = -3/2
If x+3, 2x+1, and 5x+2 are consecutive terms of an arithmetic sequence then x is -3/2.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The sequence in which consecutive terms will have common difference is called as Arithmetic sequence.
x+3, 2x+1, and 5x+2
The common difference between first term and second term
d=2x+1-x-3
d=x-2
The common difference between second term and third term
5x+2-2x-1=d
3x+1=d
Now plug in d value
3x+1=x-2
Subtract x from both sides
3x-x=-3
2x=-3
Divide both sides by 2
x=-3/2
Hence, if x+3, 2x+1, and 5x+2 are consecutive terms of an arithmetic sequence then x is -3/2.
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pleaseeeee help ill give u brainliest
The Sugar Sweet Company is going to transport its sugar to market. It will cost $6500 to rent trucks plus $250 for each ton of sugar transported. The total cost, C (in dollars), for transporting n tons is given by the following.
C=250n+6500
Answer the following questions.
(a)
What is the total cost of transporting 11 tons?
$?
(b)
If the total cost is $11,750, how many tons is the company transporting?
? tons
Answer:
(a) C = $9250
(b) n = 21 tons
Step-by-step explanation:
(a) 11 tons being transported, so n = 11.
∴ C = 250 (11) + 650
C = $9250
(b) C = $11,750
∴ 11750 = 250n + 6500
250n = 5250
n = 21 tons
Hope this helps!
How do I do this????
Answer:
your answer will be 10 and that rounded to the nearest hundredth is 100.
Step-by-step explanation:
i really hope this is right
wierd circles i dont like using pi please help
find the surface area of the pyramid. the surface area of the pyramid is __in squared.
Answer:
[tex]561.08in^{2}[/tex]
Step-by-step explanation:
[tex]S A = lw + l[/tex] [tex]\sqrt{(\frac{w}{2})^{2} + h^{2} } + w[/tex] [tex]\sqrt{(\frac{l}{2})^{2} + h^{2} }[/tex]
[tex]SA = 14(14) + 14 \sqrt{(\frac{14}{2})^{2} + 11^{2} }+ 14 \sqrt{(\frac{14}{2})^{2} + 11^{2} } = 561.08in^{2}[/tex]
A shirt that was selling for $80 is reduced to $60. Find the percent decrease in price.
Answer:
25% decrease
Step-by-step explanation:
Percentage Decrease = [(Start Value - Final Value) / |Start Value|]×100
80 - 60 = 20
20 / 80 = 0.25
0.25(100)= 25%
Need help please answer ASAP!
Let's see
3x²-9x3x(x-3)3x is one factor
Other one is x-3#2
Mass of 1000 protons
1000×Mass of one proton1.67×10^{-24}×10³1.67×10^{-21}gAnswer:
22. (3) x - 3
23. (4) [tex]1.67 \times 10^{-21}\: \sf g[/tex]
Step-by-step explanation:
Question 22Given expression:
[tex]3x^2-9x[/tex]
Factor out common term [tex]3x[/tex]:
[tex]\implies 3x \cdot x - 3 \cdot 3x[/tex]
[tex]\implies 3x(x-3)[/tex]
Therefore, the two factors are [tex]3x[/tex] and [tex]x-3[/tex]
Question 23[tex]\textsf{Mass of 1 proton}=1.67 \times 10^{-24}\: \sf g[/tex]
[tex]1000=10 \times 10 \times 10=10^3[/tex]
[tex]\begin{aligned}\implies \textsf{Mass of 1000 protons} & = \textsf{mass of 1 proton} \times 1000\\& =(1.67 \times 10^{-24}) \times 1000\\& =1.67 \times 10^{-24}\times 10^3\\ & =1.67 \times 10^{-24+3}\\ & = 1.67 \times 10^{-21}\: \sf g\end{aligned}[/tex]
Please help me and hurry
Answer:
1.5 x 10 ^4
Step-by-step explanation:
Answer:
1.5 x 10 ^4
Step-by-step explanation:
hello hope this helps
Giving Brainiest help me pleasee tyyy <3
Answer:
252 in^3
Step-by-step explanation:
Multiply all 12 x 7 x 3 = 84 x 3 = 252 in^3.
Hope this helps!
Which expressions are equivalent?
Answer:
3x -7y = -7y+3x
Step-by-step explanation:
3x is positive and 7y is negative
We can reverse the order
3x -7y = -7y+3x
GIRL NO!!!! IM FAILING CAN SOMEONE HELP ME ASAP ON THIS SCREEN SHOT
Answer:
d = 306 m
Step-by-step explanation:
calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (10, 20) and (x₂, y₂ ) = (280, 164) ← house and beach coordinates
d = [tex]\sqrt{(280-10)^2+(164-20)^2}[/tex]
= [tex]\sqrt{270^2+144^2}[/tex]
= [tex]\sqrt{72900+20736}[/tex]
= [tex]\sqrt{93636}[/tex]
= 306 m
Answer:
The distance from Francesca's house to the beach is 306 meters.
Step-by-step explanation:
Use the Pythagorean Theorem to find the straight-line distance from Francesca's house to the beach.
Step 1 Find the length of the horizontal leg.
The length of the horizontal leg is the absolute value of the difference between the x- coordinates of the points (280,20) and (10,20).
|280 - 10| = 270
The length of the horizontal leg is 270 meters
Step 2 Find the length of the vertical leg.
The length of the vertical leg is the absolute value of the difference between the y- coordinates of the points (280,164) and (280,20)
|164 - 20| = 144
The length of the vertical leg is 144 meters.
Step 3 Let a = 270 and b = 144. Let c represent the length of the hypotenuse. Use the Pythagorean Theorem to find c.
a² + b² = c²
270² + 144² = c² Substitute into the formula.
72900 + 20736 = c² Simplify.
93636 = c² Add.
√93636 = c Take the square root of both sides.
306 = c Simplify.
The distance from Francesca's house to the beach is 306 meters.
100 POINTS!!!Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition? A.0 B.1 C.2 D.4 E.infinitely many
4. Write an expression to find the perimeter
of the rectangle below. 6x
3x-5
Answer:
Down below
Step-by-step explanation:
If I am correct, it would be 6x + 6x + 3x - 5 + 3x - 5. I am almost positive this is what they are asking for. If I am incorrect, I will answer three questions for free, on any topic of your choosing. In advance, sorry if I'm incorrect.
Emily is a songwriter who collects royalties on her songs whenever they are played in
a commercial or a movie. Emily will earn $40 every time one of her songs is played in
a commercial and she will earn $120 every time one of her songs is played in a movie.
Emily earned a total of $600 in royalties on 11 commercials and movies. Graphically
solve a system of equations in order to determine the number of commercials, x, and
the number of movies, y, on which Emily's songs were played.
a
✓Click twice to plot each line. Click a line to delete it.
Answer:
x + y = 12
40 x + 120 y = 640
Step-by-step explanation:
8.2.PS-10
8.8 cm
A company is designing a new cylindrical water
bottle. The volume of the bottle will be 198 cm³.
The height of the water bottle is 8.8 cm. What is
the radius of the water bottle? Use 3.14 for .
The radius of the water bottle is about
cr
cm. (Round to the nearest tenth as needed.)
Questio
Answer:
Step-by-step explanation:
Givens
Volume = 198 cm^3h = 8.8 cmpi = 3.14r = ?Formula
V = pi * r^2 * h Substitute givens into formula
Solution
198 cm^3 = 3.14 * 8.8 * r^2 Combine the right
198 = 27.632 * r^2 Divide both sides by 27.632
198 / 27.632 = 27.632 * r^2 / 27.632
7.1656 = r^2 Switch the equation
r^2 = 7.1656 Take the square root of both sides
√r^2 = √7.1656
r = 2.6768
Answer
r = 2.7 rounded to the nearest tenth
Kendra mixes 2 liters of iced tea with 1 liter of lemonade. she pours an equal amount of the mixture into 6 jars. how many milliliters of the mixture did kendra pour into each jar? use the drop-down menu to complete the answer. please help
Answer:
Kendra pours 500 milliliters of the mixture into each jar.
Step-by-step explanation:
2 liters + 1 liters = 3 liters3 liters = 30 desiliters30 dl ÷ 6 = 5 dl5 desiliters = 500 millilitersAnswer:
500
Step-by-step explanation:
Kendra poured
500
milliliters into each jar.
What’s the probability Cecilia picks a plastic marble from the bag?
Answer:
Answer. = 2/2.
Step-by-step explanation:
PLease Help me its a math problem see image attached
Answer:
the second one
Step-by-step explanation:
If f(x)=3x²-4 and g(x) = x+2, find (f - g)(x).
Answer:
D. 3x² - x - 6
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
(f - g)(x) = 3x² - 4 - (x + 2)(f - g)(x) = 3x² - x - 6FInd the measure of angle 1.
Answer:
48 degrees.
Step-by-step explanation:
Adjacent angles add up to 180 degrees. 132 degrees and angle 1 should add up to 180 when added together.
132+angle 1 =180
angle 1=180-132
angle 1=48 degrees
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textsf{According to given question, lines k and l are parallel to each other } [/tex]~
[tex] \textsf{and we can clearly observe that} [/tex][tex] \sf{ \angle 1} [/tex][tex] \textsf{forms Co- interior angle pair with 132° } [/tex]
[tex] \textsf{[ sum of co - interior angle pair = 180° ] } [/tex]
[tex]\qquad \sf \dashrightarrow \: \angle1 + 132 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \: \angle1 = 180 - 132[/tex]
[tex]\qquad \sf \dashrightarrow \: \angle1 =48 \degree[/tex]
[tex] \texttt{So, the correct choice is C} [/tex]
Find the measure of the missing angles.
Answer:
y= 129
x= 39
Step-by-step explanation:
Four friends are playing the board game Hidden Treasure. The game begins with 40 coins
divided evenly among the four players. Each player keeps 2 of their coins on the table and
keeps the rest of the coins inside their bag.
Let b equal the number of coins in each bag.
Which equation represents the total number
of coins the four players have?
4(b+2)=40
4b=40
b+2=49
4b+2=40
Answer:
I hope this helps 40 divided by 4 is 10 10 per person 10-2=8 8 coins in each players bag and the total amount of coins in bags is 8 times 4 which is 32
If an object is rotated 360 degrees then what will the figure look like?
1. The exact same as the pre-image
2. An upside down version of the pre-image
3. A sideways version of the pre-image
Answer:
the exact same as the pre image
what’s the circumference, to this problem ?
Answer:
The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex] but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this [tex]C=d*\pi[/tex].
We can then input the value and we get that [tex]C=1*\pi[/tex] which then just narrows down to [tex]C=3.142[/tex].
Hope this helps! Let me know if you have any questions
Rule 1: Add 4 starting from 0. Rule 2: Add 8 starting from 0. Complete the first 5 terms in each sequence using the rules. How are the corresponding terms related?
Each term in the second sequence is double the corresponding term in the first sequence.
Each term in the second sequence is four times the corresponding term in the first sequence.
Each term in the first sequence is double the corresponding term in the second sequence.
Each term in the first sequence is four times the corresponding term in the second sequence.
First Sequence:
0 + 4 = 4 + 4 = 8 + 4 = 12 + 4 = 16 + 4 = 20
Second Sequence:
0 + 8 = 8 + 8 = 16 + 8 = 24 + 8 = 32 + 8 = 40
Identify correct option:
Each term in the second sequence is double the corresponding term in the first sequence.
A picture frame can hold a photograph that is 16 inches long and 12 inches wide.
What is the area of the photo that fits the frame?
Answer: The area of the photo that fits the frame is 192 square inches.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a rectangle (A) = Length x width
Replacing with the values given and solving for A (area):
A = 16 x 12 = 192 in2
The area of the photo that fits the frame is 192 square inches.
Feel free to ask for more if needed or if you did not understand something.
Question 6
Points 1
Anne measured the volume of an object and recorded it as 46 cubic cm which
was 15% high from the actual volume. Find the actual volume.
Answer:
Actual volume = 40 cm^3.
Step-by-step explanation:
15% = 0.15 as a decimal fraction.
Let the actual volume be x cm^3, then we have the equation:
x + 0.15x = 46
1.15x = 46
x = 46 / 1.15
= 40 cm^3.
Lamar is cutting a piece of 15 foot rope into 1 and 1/3 foot long
sections. How many sections of rope will he end up with?
A: 11
B: 11 and 1/4
C: 8 and 1/3
D: 4 and 1/4
Answer:
B:11 and 1/4
Step-by-step explanation:
to divide 15 by 1 1/3 i used the Keep, Change, Flip method aka-KCF
i kept 15 over 1 changed the division sign into a multiplication sign and flipped 1 1/3 which is 4/3 to its reciprocal 3/4.
which got me the answer 45/4 i simplified it into 11 and 1/4
Add and simplify. What is the restriction on x?
[tex]x\neq _________[/tex]
[tex]\frac{2}{x+4} +\frac{x}{x-3}[/tex]
[tex]\cfrac{2}{x+4}~~ + ~~\cfrac{x}{x-3}\implies \cfrac{(x-3)2~~ + ~~(x+4)x}{\underset{\textit{using this LCD}}{(x+4)(x-3)}} \\\\\\ \cfrac{2x-6+x^2+4x}{(x+4)(x-3)} \implies \cfrac{x^2+6x-6}{(x+4)(x-3)}\qquad x\ne -4,3[/tex]
why can't it be -4 or 3? for if it ever does become -4 or 3, the denominator will turn to 0, giving an undefined fraction.