Answer: 56
Step-by-step explanation:
Given that :
Marbles in bag are only red and blue ;
Probability of randomly choosing a red = 2/7
Number of red marbles in bag = 16
The total Number of marbles =?
P(choosing a red marble) = required outcome / Total possible outcomes
Required outcome = number of red marbles
Total possible outcomes = total number of blue and red marbles
Total number of blue and red marbles = x
P(choosing a red marble) = required outcome / Total possible outcomes
2/7 = 16 / x
Cross multiply
2x = 16 * 7
2x = 112
x = 112 / 2
x = 56 marbles
Total number of marbles = 56
May someone help me out on this question?
Answer:
y = 2 for x < 0
x for 0 ≤ x < 3
3 for x ≥ 3
Step-by-step explanation:
From the graph attached,
Equation of line (1),
y = 2
Where x < 0
Let the equation of line (2) is,
y = mx + b
y-intercept 'b' = 0 [line (2) passes through origin]
Slope of the line 'm' = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{3}{3}[/tex]
= 1
Therefore, equation of line (2) will be,
y = x
where 0 ≤ x < 3
Equation of line (3) will be,
y = 3
Where x ≥ 3
Therefore, piecewise linear function will be,
y = 2 for x < 0
x for 0 ≤ x < 3
3 for x ≥ 3
What is the first term of an AP whose common difference is 2 and 31st term begin -88
Answer:
a₁ = - 148
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given d = 2 and a₃₁ = - 88 , then
a₁ + (30 × 2) = - 88
a₁ + 60 = - 88 ( subtract 60 from both sides )
a₁ = - 148
a₁ = - 148
Step-by-step explanation:
The n th term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given d = 2 and a₃₁ = - 88 , then
a₁ + (30 × 2) = - 88
a₁ + 60 = - 88 ( subtract 60 from both sides )
a₁ = - 148
Roy weighs 150 pounds and plans to lose 1.5 pounds a week. Luis weighs 200 pounds and plans to lose 2.5 pounds a week. Which equation shows when Roy and Luis will weigh the same? Use x for the number of weeks
150 −1.5x=200−2.5x150 −1.5x=200−2.5x
150 +1.5x=200−2.5x150 +1.5x=200−2.5x
150 +1.5x=200+2.5x150 +1.5x=200+2.5x
Answer:
A
Step-by-step explanation:
If im wrong im sorry bc the other ones are addition and they said looseing weight i jus picked da 1 dat made sense to meh.
What is the domain of this quadratic function?
Answer: its c
Step-by-step explanation:
its c
Answer:
(-∞,+∞)
Step-by-step explanation:
The function is a continuous quadratic function
I WILL GIVE BRAINLIEST TO FASTEST AND BEST ANSWER PLS HELp
Answer:
Unknown
Step-by-step explanation:
dskljgjfhgdiagljhbajfhglvibliahgviyglvaj
Answer:
The tax was too much for me
Step-by-step explanation:
Sorry, Im a noob
dsx
sds
xdscxzxas
x
zszx
Help again pls due tonight will give brainlisttt!!! ❤
onsider the line y=-5+6.
find the equation of the line perpendicular to this line and passes through the point (-2,-3)
find the equation of the is parallel to this line and passes through the point (-2,-3)
Answer:
The equation of the line perpendicular to the given line is
[tex]y=\frac 1 5 x + \frac {-13}{5}[/tex].
The equation of the line perpendicular to the given line is
[tex]y=-5 x -13[/tex].
Step-by-step explanation:
The given line is y=-5x+6
The slope of the given line, [tex]m_1=-5[/tex]
Let [tex]y= m_2 x + C_2[/tex] be the slope of the line perpendicular to y=-5x+6,
where [tex]C_2[/tex] is constant.
As multiplication of slopes of two perpendicular lines equal to -1, so
[tex]m_1m_2=-1 \\\\\Rightarrow -5\times m_2= -1 \\\\\Rightarrow m_2= \frac {-1}{-5}= \frac 1 5[/tex]
So, the equation of the line perpendicular to the given line is
[tex]y=\frac 1 5 x +C_2[/tex] which passes through the point (-2,-3), so
[tex]-3=\frac 1 5 (-2) +C_2 \\\\\Rightarrow C_2 = -3 +\frac 2 5= \frac {-13}{5}[/tex]
Hence, the equation of the line perpendicular to the given line is
[tex]y=\frac 1 5 x + \frac {-13}{5}[/tex].
Now, let [tex]y=m_3 x +C_3[/tex] be the equation of the parallel line to y=-5x+6.
As the slopes of two parallel lines are the same, so [tex]m_3=-5[/tex].
So, the equation of the parallel line becomes
[tex]y=-5 x +C_3[/tex] which passes through the point (-2,-3), so
[tex]-3=-5 (-2) +C_3 \\\\\Rightarrow C_2 = -3 - 10 = -13[/tex]
Hence, the equation of the line perpendicular to the given line is
[tex]y=-5 x -13[/tex].
Under certain conditions the pressure of a gas varies directly with the temperature. When the pressure is 900 psi, the temperature is 350. What is the pressure when the temperature is 70?
Answer:
180psi
Step-by-step explanation:
Step one:
given data
P1= 900 psi
T1= 350°C
P2=?
T2=70°C
Required
The final pressure P2
Gay-Lussac's Law: The Pressure Temperature Law. This law states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. With an increase in temperature, the pressure will go up
Applying the expression
P1/T1= P2/T2
substitute:
900/350= P2/70
2.57=P2/70
cross multiply
P2= 2.57*70
P2=180psi
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1200. The law firm designated twice as many associates as partners to the case and was able to charge the client $7200 per day for these lawyers' services. Graphically solve a system of equations in order to determine the number of associates assigned to the case,x, and the number partners assigned to the case, y.
what are the two equations in slope intercept form so i can graph them
Step-by-step explanation:
JOIN MY ZOOM MEETING
ID-9384026088
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Work out the 3rd term of the sequence 3n +5.
a. 11
b. 14
c. 17
when would a transformation NOT be considered rigid?
Answer:
when the plant at the end dies
which is an equation for the line passing through the points (-3,3) and (6,9)
Answer:
y=2/3x +5
hope this helps
Answer:
[tex] \red{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]
Explanation
[tex] slope \:of \:the\: required\:\: line \implies\\\frac{9-6}{6-(-3)}=\frac{6}{9} [/tex]
[tex] equation \:of \:the\: required\:\: line\implies\:\\y - 3 = \frac{6}{9} (x + 3)[/tex]
[tex] \implies \: 9y - 27 = 6x + 18[/tex]
[tex] \implies \: 6x - 9y + 45=0[/tex]
[tex] \implies\:2x-3y+15=0[/tex]
Hence the equation of the line is
[tex] \green{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]
Does 82.45 round up to 83?
Answer:no it does not
Step-by-step explanation:
In order for it to round up it would have to be 82.5 or higher.
Answer:
No. To round up to 83 the number has to be 82.5 or higher.
Please help!!!! ASAP
Answer:
A
Step-by-step explanation:
I just put the first one in desmos to see if it was the same
Add your CORRECT Please
Answer:
IQR= (16)−(10)=6
Thus, option 'C' is true.
Step-by-step explanation:
Given the data
8, 9, 9, 10, 12, 12, 13, 14, 15, 15, 15, 16, 18, 19, 20
The interquartile range is equal to the difference between the 75th and the 25th percentiles
The 25th percentile is 10
The 75th percentile is 16
Finally,
IQR= (16)−(10)=6
Thus, option 'C' is true.
distance between (-4,0) and (2,2)
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $80.00
Markdown: 33%
Answer:
24$
Step-by-step explanation:
Rita runs 3 miles in 25 minutes. At the same rate, how many miles would she run in 20 minutes?
Answer:
2.4
Step-by-step explanation:
v=3/25
d=3/25 * 20=12/5=2.4
hope this help
Which of the following is divisible by 3?
Answer:
108 and 150
Step-by-step explanation:
108/3=36
150/3=50
(picture included) brainliest
Evaluate this expression, be sure to use the correct order to calculate. 64 ÷ 4^2 *
Answer:
The correct solution is 4
Step-by-step explanation:
64÷4^2
64÷16
=4
Answer:
4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define Expression
64 ÷ 4²
Step 2: Evaluate
Exponents: 64 ÷ 16Divide: 4need helpppp i have no idea what to do
Answer:
Line 1 and Line 2: Perpendicular
Line 1 and Line 3: Neither
Line 2 and Line 3: Neither
Step-by-step explanation:
We will write all lines in slope intercept form i.e [tex]y=mx+b[/tex]
where m is slope.
And check
a) If two lines are parallel they have same slope [tex]m_1=m_2[/tex]
b) If two lines are perpendicular they have opposite reciprocal slopes i.e [tex]m_1=-\frac{1}{m_2}[/tex]
Equation for Line 1: [tex]y=-\frac{4}{3}x-4[/tex]
Already in slope-intercept form
Slope for Line 1 m is: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex]
Equation for Line 2: [tex]6x-8y=-6[/tex]
Converting into slope-intercept form:
[tex]6x-8y=-6\\-8y=-6x-6\\y=\frac{-6x-6}{-8}\\y=\frac{-6x}{-8}+\frac{-6}{-8} \\y=\frac{3x}{4}+\frac{3}{4}[/tex]
Slope for Line 2 m is: [tex]\mathbf{m_2=\frac{3}{4}}[/tex]
Equation for Line 3: [tex]-4y=3x+7[/tex]
Converting into slope-intercept form:
[tex]-4y=3x+7\\y=-\frac{3}{4} -\frac{7}{4}[/tex]
Slope for Line 3 m is: [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]
Now, finding answers
Line 1 and Line 2
Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_2=\frac{3}{4}}[/tex]
Both lines are perpendicular because they have opposite reciprocal slopes
Line 1 and Line 3
Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]
Slopes are neither same, nor opposite reciprocal, so they are neither
Line 2 and Line 3
Checking their slopes: [tex]\mathbf{m_2=\frac{3}{4}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]
Slopes are neither same, nor opposite reciprocal, so they are neither
The answers are:
Line 1 and Line 2: Perpendicular
Line 1 and Line 3: Neither
Line 2 and Line 3: Neither
I WILL GIVE BRAINLIEST IF YOU SOLVE THIS
Answer:
linear regression: S = 2.3n - 4.2
Step-by-step explanation:
Will give brainliest!! Please help!!
Brian is playing a game with the spinner shown below. Each section is the same size.
What is the probability that the arrow will land on a number that is divided by 3 if Brian spins it one time?.
Find the common ratio
6.) -1, -6, -36, -216,
A.) r=5
B.) r=6
C.) r=-6
D.) r=4
Answer:
6
Step-by-step explanation:
try mulyipling each sequence by 6
on khan my progress wont go up and i need 50% and i have 44 help please
Answer:
watch 2 more videos
Step-by-step explanation:
which is the graph of x-y=1
Pat has a fever.His temperature is 99.3F. If the conversation is Celsius is C=5/9(F-32), what is the most accurate measurement of Pat’s temperature in degrees Celsius?
Answer:
37.4
Step-by-step explanation:
The most accurate measurement of Pat’s temperature in degrees Celsius is 37.39°.
Given that, Pat has a fever of temperature is 99.3° F.
What is the conversion of Celsius to Fahrenheit?Celsius to Fahrenheit is the conversion of temperature from Celsius unit to Fahrenheit unit. Temperature scales provide a way of measuring how hot or cold a body is. Fahrenheit and Celsius are temperature scales.
The formula to convert Celsius to Fahrenheit is given by: °F = °C × (9/5) + 32.
The formula to convert Fahrenheit to Celsius is C=5/9(F-32)
Now, C= 5/9 (99.3-32)
= 5/9 × 67.3
= 37.39°
Hence, the most accurate measurement of Pat’s temperature in degrees Celsius is 37.39°.
To learn more about the Celsius to Fahrenheit conversion visit:
brainly.com/question/18800757.
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Which ratio is equivalent to the ratio 20 to 35? 5 to 7 7 to 5 8 to 14 14 to 8
Answer: it’s 8 to 14 number c
Step-by-step explanation:
Let me know if I’m wrong
The ratio equivalent to 20 to 35 is 8 to 14.
Option C is the correct answer.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
20 to 35
This can be written as,
= 20/35
= 5 x 4 / 5 x 7
= 4/7
Now,
5 to 7 = 5/7
7 to 5 = 7/5
8 to 14 = 8/14 = 4/7
14 to 8 = 14/8 = 7/4
Thus,
20 to 35 is the same as 8 to 14.
Learn more about ratios here:
https://brainly.com/question/2462048
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What is the result of subtracting the second equation from the first?
8.x - 4y = -4
-3a + 4y = 5