Answer:
x = 1/3 and x = 1.
Step-by-step explanation:
3x^2 - 4x + 1 = 0
(3x - 1)(x - 1) = 0
The solutions are when either 3x - 1 = 0 or x - 1 = 0.
3x - 1 = 0
3x = 1
x = 1/3
x - 1 = 0
x = 1
So, x = 1/3 and x = 1.
Hope this helps!
write the recurring decimal 0,101010101... . as a fraction in its simplest form.
Answer:
[tex]\frac{10}{99}[/tex]
Step-by-step explanation:
Answer:
[tex]\frac{10}{99}[/tex]
Step-by-step explanation:
We require to create 2 equations with the repeating decimal after the decimal point.
let x = 0.10101.... → (1)
Multiply both sides by 100
100x = 10.10101.... → (2)
Subtracting (1) from (2) eliminates the repeating decimal, thus
99x = 10 ( divide both sides by 99 )
x = [tex]\frac{10}{99}[/tex]
What true bearing is WSW equivalent to?
Answer:
S 67.50° W
Step-by-step explanation:
SOMEBODY!!! HEELLLLLLP if you can help me with one question that's fine!
Step-by-step explanation:
Question 1The 20° angle is equal to the angle next you friend.
since they are interior alternate angles
The height of the ballon is 600 feet
Let x be the missing distance we are looking for
sin20° = 600/x switch x and sin 20° x = 600/ sin 20° x=1754.28≈ 1754 ftso the missing distance is 1754 feet
Question 2Here I represented the situation to visualize the problem
Let h be L be the length of the ladder
sin 30° = 7/L switch L and sin 30°L= 7/sin 30° = 14L = 14 ftso the ladder is 14 ft
Determine the equation for the total cost of snow tubing, the rest of the chart:
8 . 20
10 . 25
PLEASE HELP ASAP!!! *grade 9 work* best answer gets brainliest :)
Step-by-step explanation:
Notice how you get the same value each time when you divide the cost by the number of downhill rides
5/2 = 2.5 10/4 = 2.5 15/6 = 2.5Moreover when the downhill rides grow by 2 the total cost grows by 5
so we can state :
n+2 ⇒c+50+2 ⇒ 0+5 0+6 ⇒0+ (3*3)To complet the chart we can use the proportionaliyu relation:
2⇒520⇒ Cc = [tex]\frac{20*5}{2}[/tex]= 50so 20 goes with 50
same method:
2⇒525⇒ C C = [tex]\frac{25*5}{2}[/tex] =62.5so 25 goes with 62.5
Find the product of additive inverse and multiplicative inverse of 3/2
Answer:
Additive inverse = -3/2
Multiplicative inverse = 2/3
Step-by-step explanation:
To find Additive inverse, just change the sign.
Additive inverse of 3/2 = -3/2
If we add a number and its additive inverse, we will obtain 0.
Multiplicative inverse of number a is 1/a and multiplicative inverse of a fraction a/b is b/a.
When we multiply a number & its inverse, we will get 1
Multiplicative inverse of 3/2 = 2/3
can someone please helppp
Answer:
D
Step-by-step explanation:
The range is the values of y the graph covers
The minimum value of y is - 9 and the maximum value is 5, thus
- 9 ≤ y ≤ 5 is the range → D
Answer:
[tex]\boxed{-9\leq y\leq 5}[/tex]
Step-by-step explanation:
The range is the set of possible y values, which are shown on the y-axis.
The minimum value of y on the graph is -9.
The maximum value of y on the graph is 5.
The set of possible output values (y) are equal to or greater than -9 and less than or equal to 5.
Juan uses 0.1 pound of flour to make a batch of cookies. Exactly how many batches of cookies can he make with 3.75 pounds of flour?
Answer:
37.5
Step-by-step explanation:
0.1 pound for one batch of cookies
3.75 pound for x batches of cookies
3.75/0.1=x
he can make 37.5 batches of cookies
Solve the inequality. 6(b – 4) > 30 b > 34 b > 5 b 9
Answer:
b > 9
Step-by-step explanation:
6(b – 4) > 30
Divide each side by 6
6/6(b – 4) > 30/6
b-4 > 5
Add 4 to each side
b-4+4 > 5+4
b > 9
Answer:
[tex]\boxed{b > 9}[/tex]
Step-by-step explanation:
[tex]6(b-4) > 30[/tex]
Resolving Parenthesis
6b - 24 > 30
Adding 24 to both sides
6b > 30+24
6b > 54
Dividing both sides by 6
b > 9
Eric has a bag of 100 marbles. The bag contains 27 red marbles and 42 green marbles, and the rest are blue
marbles.
Eric is interested in the following events.
A: drawing a blue marble
B drawing a red marble
if Eric randomly draws two marbles, without replacing the first one, what is P(AB)?
Enter your answer as a fraction in simplest form. For example. If your answer is which reduces to enter it like
this: 3/4
Answer:
P(AB) = 837/9100
Step-by-step explanation:
The given parameters are;
The number of marbles in the bag = 100 marbles
The number of red marbles = 27
The number of green marbles = 42
The number of blue marbles = 100 - 27 - 42 = 31
The probability, A of drawing a blue marble = 31/100
The probability,B of drawing a red marble after a blue marble has been taken without replacement = 27/91
The probability P(AB) = 31/100× 27/91 = 837/9100
The probability that Eric randomly draws two marbles without replacing the first one where the first one is a blue marble and the second marble is a red marble is 837/9100.
Calculate the area of triangle RST. a = 38.
Answer:
722 √(3) square units
Step-by-step explanation:
Mathematically, the area of a triangle is 1/2 * b * h
But in this question, we have the base which is a while the height is absent
We can use trigonometric ratios since we are given the angle to find the value of the height.
Since we are dealing with the opposite and the adjacent, the correct trigonometric identity to use is the tangent
Mathematically;
Tan 60 = h/a
where h represents the height which we want to calculate
h = a tan 60
But tan 60 = √(3)
So h = a √(3)
Now the area of the triangle will be;
A = 1/2 * a * a √(3)
But a has a value of 38 units.
Substituting this value, we have ;
A = 1/2 * 38 * 38 √(3)
A = 19 * 38√(3)
A = 722 √(3) square units
Dora can plant 150 flowers in the same time it takes charlie to plant 120 flowers. Also Dora can plant 18 flowers more per day than charlie. How many flowers can Charlie plant per day?
Answer:
Number of flowers planted planted by Charlie per day = 72
Step-by-step explanation:
Given:
Dora can plant 150 flowers and Charlie plants 120 flowers in same time.
Dora can plant 18 flowers more per day than that of Charlie.
To find:
Flowers that can be planted by Charlie per day = ?
Solution:
Let the time taken by Dora to plant 150 flowers = T days
So, T will be the time taken by Charlie to plant 120 flowers.
Number of flowers planted by Dora per day = Total Number of flowers planted by Dora divided by number of days
Number of flowers planted by Dora per day = [tex]\frac{150}{T}[/tex]
Similarly, Number of flowers planted by Charlie per day = Total Number of flowers planted by Charlie divided by number of days
Number of flowers planted by Charlie per day = [tex]\frac{120}{T}[/tex]
As per condition given:
[tex]\dfrac{150}{T} = \dfrac{120}{T} +18[/tex]
Solving the above equation by taking LCM:
[tex]\Rightarrow \dfrac{150}{T} = \dfrac{120 +18T}{T}\\\Rightarrow 150=120+18T\\\Rightarrow 18T = 30\\\Rightarrow T = \dfrac{30}{18}\\\Rightarrow T = \dfrac{5}{3}\ days[/tex]
Number of flowers planted by Charlie per day = [tex]\frac{120}{T}[/tex] = [tex]\frac{120\times 3}{5} = 72[/tex]
So, answer is:
Number of flowers planted planted by Charlie per day = 72
look at the pattern below.How should the tird shape be labeled
Answer:
You havent showed us the pattern
ASAP! I need help, and please do not send nonsense answers. BRAINLIEST will be given to the person who gets it correct with full solutions.
Answer:
C. all whole numbers
Step-by-step explanation:
Well Roberts can’t have a negative income and due to the number of violins being whole numbers, it is impossible to have 2.273 violins.
Hence, the annual income can only be whole numbers
Answer:
c
Step-by-step explanation:
How to do this question plzzz
Hi king,
Let's split it into two prisms.
1st prisim volume:[tex]V_{1}=5cm*10cm*3cm\\V_{1} =150cm^{3}[/tex]
2nd prisim volume:[tex]V_{2}=5cm*10cm*(9cm-5cm)\\V_{2}=5cm*10cm*4cm\\V_{2} =200cm^{3}[/tex]
The prism in the picture:
[tex]V_{final}=150cm^{3} +200cm^{3} \\V_{final}=350cm^{3}[/tex]
Have a good day.
What is 651 minus -13? Please with explanation.
Answer:
664
Step-by-step explanation:
651 - - 13
Negative times negative is positive.
651 + 13
Add.
664
Answer:
664
Step-by-step explanation:
651 - (-13)
Do the keep , change , change method
So , it will be :
651 + 13 = 664
Hope this helps and plsss plss amrl as brianliest and THNXX :)
If the measure of ∠1 is 50°, what is the measure of ∠8?
Hey there! :)
Answer:
Measure of ∠8 is 130°.
Step-by-step explanation:
We can solve for ∠8 in multiple steps:
∠1 = 50°
∠5 = 50° due to corresponding angles being equivalent
180° - m∠5 = m∠8 due to supplementary angles
180° - 50° = m∠8 = 130°
Therefore, the measure of ∠8 is 130°.
Answer: The measure of angle 8 is 130 degrees.
Step-by-step explanation:
Angle 8 and angle 4 has the same measures. The same way angle 1 and angle 5 also have the same measures.So we know that angle 1 is 50 degrees so angle 5 is also 50 degrees. Angle 5 and 8 lies on a straight line.And straight lines have a measure of 180 degrees.So we know that angle 5 is 50 degrees so what angle measure will 50 degrees add up to get 180 degrees.
Use the equation
50 + x =180 solve for x
-50 -50
x = 130
This means angle 8 is 130 degrees .
A triangle has sides 45, 4x and 2x−4. What is the possible range of x?
Answer: I think it's 2
Step-by-step explanation: i am not dat good at math
Solve x4 – 17x2 + 16 = 0. Let u = .
To solve the equation, we need to let u = x²
What is a quadratic equation?A quadratic equation is an algebraic expression that takes the power of the second degree.
From the given parameter:
x⁴ - 17x² + 16 = 0For us to be able to solve the given equation, we need to reduce the equation to a quadratic form.
This can be achieved by making an assumption that:
u = x²So, we will replace x² with u in the given equation.
By doing so, we have:
u² - 17u + 16 = 0Learn more about quadratic equations here:
https://brainly.com/question/1214333
Answer: Solve x4 – 17x2 + 16 = 0.Let u = xX 17x²✔ x²X -17x².
let u = x^2
Step-by-step explanation: just did it
what is the quotient of the rational expression below x^2-25/x-11÷ x^2+10x+25/4x-44
Answer:
The quotient is 4x-20/x+5
Step-by-step explanation:
The quotient is simply the result of the division
Through factorization, can express x^2 -25 as (x-5)(x+5)
Also x^2 + 10x + 25 as (x+5)(x+5)
and lastly 4x-44 as 4(x-11)
Now when we divide, the numerator of the second fraction will come down while the denominator goes up;
So we have ;
x^-25/x-11 * 4x-44/x^2 + 10x + 25
Now, making use of the factorizations, we have ;
(x-5)(x+5)/(x-11) * 4(x-11)/(x+5)(x+5)
Canceling out like factors, we have
= 4(x-5)/(x+5)
A rectangle has a perimeter of 35.8 inches and a base of 12.6 inches. What is the height?
Answer:
Height is 5.3 inches.
Step-by-step explanation:
2* base + 2*height = 35.8
2*12.6 + 2h = 35.8
h = (35.8 - 2(12.6) / 2
= (35.8 - 25.2) /2
= 10.6 / 2
= 5.3 inches.
Answer:
5.3inStep-by-step explanation:
The formula of a perimeter of a rectangle:
[tex]P=2(l+w)[/tex]
l - length
w - width
We have
[tex]P=35.8in\\l=12.6in[/tex]
Substitute:
[tex]35.8=2(12.6+w)[/tex] divide both sides by 2
[tex]\dfrac{35.8}{2}=\dfrac{2(12.6+w)}{2}[/tex]
[tex]17.9=12.6+w[/tex] subtract 12.6 from both sides
[tex]17.9-12.6=12.6-12.6+w\\\\5.3=w\to w=5.3\ (in)[/tex]
What is the decibel level of the sound of a ticking clock with intensity 10−9 watts per square inch? Use a logarithmic model to solve.
Answer:
β = (-0.19 dB).
Step-by-step explanation:
The formula which is used to calculate the decibel level of a sound is given by :
[tex]\beta=10\log (\dfrac{I}{I_o})[/tex]
I is intensity of the sound of a ticking clock
[tex]I_o=10^{-12}\[/tex] watts per square meter
Since, [tex]1\ \text{inch}^2=\dfrac{1}{1550}\ \text{m}^2[/tex]
The intensity of a monster truck is converted into per square meter as follows:
[tex]10^{-9}\ {W/in^2}= \dfrac{10^{-9}}{1550}\ W/m^2\\\\10^{-9}\ {W/in^2}=6.45\times 10^{-13}\ W/m^2[/tex]
So, Decibal level is :
[tex]\beta=10\log (\dfrac{6.45\times 10^{-13}}{10^{-12}})\\\\\beta =-0.19\ dB[/tex]
So, the decibel level of the sound of a ticking clock is (-0.19 dB).
Answer:
30dB
Step-by-step explanation:
Please help! I need help with this question!
Explanation:
The vertical angles at C are congruent with each other, so we have the necessary conditions to invoke the SAS congruence postulate:
∆BCA ≅ ∆ECD
BA ≅ ED by CPCTC (corresponding parts of congruent triangles are congruent)
In a competition, a school awarded medals in different categiories.40 medals in sport 25 medals in danceand 212 medals in music, if the total of 55 students got medals and only 6 students got medals in the three categories ,how many students get medals in exactly two of these categories?
Answer:
210
Note: this answer might be incorrect because of the value of music (212). This doesn't make logical sense.
Step-by-step explanation:
Hello,
This question can easily be solved through the use of a venn diagram.
Total number of students = 55
Number of medals in sport = 40 = A
Number of medals in dance = 25 = B
Number of medals in music = 212 = C
Number of students that got award in the three categories = (AnBnC) = 6
n(AuBuC) = 55
n(AnB) + n(BnC) + n(AnC) - 3n(AnBnC) =
n(AnB) + n(AnB) + n(AnC) -3×6 ......equation (i)
n(AuBuC) = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)
Therefore,
n(AnB) + n(BnC) + n(AnC) = n(A) + n(B) + n(C) + n(AnBnC) - n(AuBuC)
n(A) + n(B) + n(C) + n(AnBnC) - n(AuBuC) - 18
40 + 25 + 212 + 6 - 55 - 18 = 210
Note: this answer might be incorrect because of the value of C (music)
convert 5.6cm squared into mm squared
convert 5.6 cm = 56 mm squared
Answer: 560 mm²
Step-by-step explanation:
Note that 1 cm = 10 mm
Given: 5.6 cm²
= 5.6 cm· cm
[tex]=5.6\ cm \cdot cm\times \dfrac{10\ mm}{1\ cm}\times \dfrac{10\ mm}{1\ cm}\quad[/tex]
[tex]=560\ mm\cdot mm\\[/tex]
[tex]=\large\boxed{560\ mm^2}[/tex]
Which two of the following numbers round to 752.3 if we're rounding to the nearest tenth? Choose 2 answers: a 752.32 b 752.27 c 752.36
A, B is the answer..................
Answer:
its A and C
Step-by-step explanation:
Just because...........
Three years after a company was founded, its assets were $11,283,500. Ten years after being founded, its assets had grown to $21,794,600. During that period of time, at what rate did the company's assets grow per year?
Answer:
$1,051,110Step-by-step explanation:
Given
Step one:
Company's initial asset value = $11,283,500
Company's final asset value = $21,794,600
Step two
we can calculate the company's asset appreciation after 10 years as
$21,794,600- $11,283,500= $10,511,100
Step three
Hence, the growth rate of the company's asset value per year can be expressed as = $10,511,100/10= $1,051,110
solve for e.
0.75(8 + e) = 2 - 1.25e
Answer:
e = -2
Step-by-step explanation:
Well to solve for e in the following equation,
.75(8 + e) = 2 - 1.25e
We need to distribute and use the communicative property to find e.
6 + .75e = 2 - 1.25e
-2 to both sides
4 + .75e = -1.25e
-.75 to both sides
4 = -2e
-2 to both sides
e = -2
Thus,
e is -2.
Hope this helps :)
Morgan had 11 inches of snow on her lawn. The temperature then increased and the snow began to melt at a constant rate of 1.5 inches per hour. Assuming no more snow was falling, how much snow would Morgan have on her lawn 2 hours after the snow began to melt? How much snow would Morgan have on her lawn after tt hours of snow melting?
Answer:
two hours after the snow started melting, the depth of the snow would be 8 inches.
Step-by-step explanation:
The melting can be represented by a linear function of the snow depth (D(t)) as a function of time (t). We consider that the initial value is: 11 inches deep at time = 0 (zero). and then decreasing at a rate of 1.5 inches per hour (that is a negative slope = -1.5).
[tex]D(t)=11-1.5\,t[/tex]
Therefore, 2 hours after the snow started melting, one would have:
[tex]D(2)=11-1.5\,(2)=11-3=8\,\,inches[/tex]
Which of these workers is paid less than the minimum hourly wage? Bartender Electrician Hotel Manager Plumber
Answer:
It's A, the bartender
Step-by-step explanation:
what is the slope of a line parallel to the line whose equation is 3x-3y=-45
Answer:
The slope is 1Step-by-step explanation:
To find the slope first write the equation in the form
y = mx + c
where m is the slope
c is the y intercept
3x - 3y = -45
3y = 3x + 45
Divide both sides by 3
y = 3/3x + 45/3
y = x + 15
From the equation the slope = 1
Parallel lines have equal slope
So
The line parallel to the above line is also
1
Hope this helps you