Answer: [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Find the common denominator:
3, 6, 9, 12
6, 12, 18
- 6 is your common denominator.
Multiply your fraction by 1 [tex](\frac{2}{2})[/tex]
[tex]\frac{1}{3} * \frac{2}{2} = \frac{2}{6}\\[/tex]
Add:
[tex]\frac{2}{6} + \frac{1}{6} = \frac{3}{6}[/tex]
Reduce:
[tex]\frac{3}{6} = \frac{1}{2}[/tex]
The simplest form is 1/2.
What is fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
1/3 + 1/6
Now, we have to add the fraction by focusing the numerator as
=1/3 + 1/6
Now, LCM(3, 6)= 6
= 1/3 x 2/2 + 1/6
=2/6 + 1/6
=(2+1)/6
=3/6
=1/2
Hence, the simplest form is 1/2.
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In △ACD, if AC≅AD, m∠A = 3x − 4, m∠C = 5x + 1, and m∠D = 7x − 27, find x and the measure of each angle.
Answer:
x = 14
m∠A = 38°
m∠C = 71°
m∠D = 71°
Step-by-step explanation:
By the property of a triangle,
"Sum of interior angles of a triangle is 180°"
m∠A + m∠C + m∠D = 180°
By substituting the values of the angles given in the question,
(3x - 4)° + (5x + 1)° + (7x - 27)° = 180°
(3x + 5x + 7x) + (-4 + 1 - 27) = 180
15x - 30 = 180
15x = 210
x = 14
Therefore, m∠A = 3x - 4
= 3(14) - 4
= 38°
m∠C = 5x + 1
= 5(14) + 1
= 71°
m∠D = 7x - 27
= 7(14) - 27
= 98 - 27
= 71°
Donna's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $50 a day for food and lodging and $0.60 for each mile traveled. Donna drove 200 miles and was reimbursed $1,620. Part A: Create an equation that will determine the number of days on the trip. (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many days did Donna spend on this trip? (1 point)
Answer:
See below
Step-by-step explanation:
Part ALet number of days be d, then the equation is:
50d + 200*0.6 = 1620Part BSolution of the equation
50d + 120 = 162050d + 120 - 120 = 1620 - 120 ⇒ subtraction property of equality50d = 150050d / 50 = 1500/50 ⇒ division property of equalityd = 30Part C30 days as above20 POINTS NO CAP PLEASE HELP ME NEED RIGHT ANSWER
Answer:
-5.7
Step-by-step explanation:
Answer:
-5.4 LOL
Step-by-step explanation:
Zarah earns a weekly salary of $645 plus a commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $2,200 worth of merchandise? Zarah would earn $ _________ for that week.
Pls we only need part B to pass this subject
Answer: Weird
Step-by-step explanation: Maybe calculate all the numbers I guess.
How can i get better at math? i've been in a F for a month and i don't wanna fail and not get my darn credits >:(
Answer:
you can get a tutor, or look up videos on practices you can do and you can download some math apps look up tiger-algebra as well, hope you're able to get your grade up:))
Step-by-step explanation:
45% of overnight campers reported feeling homesick their first night away.If 90 campers felt homesick, how many total campers were there?
evaluate g(x) = 4 - 3x when x = -3, 0, and 5
please help im really struggling
If angle 1 is 78 degrees, what is the measure of angle 8?
Answer:
78 degrees because they are congruent angles
Help me please......
Answer:
Approx. 73°
Step-by-step explanation:
Find the area of the circle. Round your answer to the nearest hundredth.
Answer:
oh i thought i knew this sorry man
Step-by-step explanation:
Answer:
7.10
Step-by-step explanation:
Sorry if this is wrong, just a guess:)
Five less than one third of a number n is smaller than the quotient of the number n and two.
Juan joins a movie club. He pays $10 to join and each movie cost $5. Which equation represents the relationship between the y , and the number of movies, x
if u help me i will give u knicks by cochise
Answer:
6
Step-by-step explanation:
FIRST ANSWER GETS BRAINLY
What are two ways to start solving the equation 4(c - 3)=8? Choose BOTH ways
1. Add 3 to both sides to get 4c = 11
2. Divide both sides by 4 to get c - 3 = 2
3. Use the distributive property to get 4c - 3 = 8
4. Use the distributive property to get 4c - 3 = 8
5. Subtract 4 from both sides to get c - 3 = 4
Answer
2, i can't find any other solution
Step-by-step explanation:
you divided both sides by 4 you get x - 3 = 2/2 plus 3 = 5 = x
To solve an equation 4(c - 3) = 8 the correct ways are
1. Use the distributive property to get 4c - 12 = 8
2. 2. Divide both sides by 4 to get c - 3 = 2
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
The two ways to start solving the equation 4(c - 3) = 8 are:
Use the distributive property to get 4c - 12 = 8, then add 12 to both sides to get 4c = 20, and finally divide both sides by 4 to get c = 5.
This method uses the distributive property to simplify the left-hand side of the equation before solving for c.
Divide both sides by 4, and we get,
4(c - 3)/4 = 8/4
c - 3 = 2
c = 5.
Therefore, the two ways are given above.
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I need help!!!!! Jdjshekosixjsjjejfixis
Please help I need to finish this
what is the vertex of h(x)=3x^2+6x-2?
its -1 and -5
thank u for letting me helps u
What is the value of 3.5 (11) + 1.9 (11) + 1.6 (11)?
40
77
4,096
9,317
plus brainlyest and im being timed
HELP PLEASE 12 POINTS
Answer:
Step-by-step explanation:
5^2=3^2+a^2
25=9+a^2
16=a^2
take the square root of both
4=a
Find the measure of the exterior angle
Answer:
A exterior angle of a polygon is an angle outside the polygon formed by one of its sides and the extension of an adjacent side.
In 1995 the town of Springdale had a population of 2,378. Over the next 20 years the town's population decreased by 12.5%. What was the population of the town in 2015?
Answer: 165
Step-by-step explanation:
Exponential equation for decay :[tex]A= P(1-r)^t[/tex] , where A is the value after t year, P = initial value.
As per given ,
P= 2378
t= 20 years
r = 12.5% = 0.125
Now ,
[tex]A=2378(1-0.125)^{20}\\\\=2378(0.875)^{20}\\\\= 2378(0.0692087587)\\\\=164.57842\approx 165[/tex]
Hence, the population of the town in 2015 = 165
What is the equation of a line that passes through (0, 7) and has a slope of -2?
Answer:
y = -2x + 7
Step-by-step explanation:
We are given the slope so find the y-intercept using slope-intercept form [ y = mx + b ]
y = -2x + b
7 = -2(0) + b
7 = 0 + b
7 = b
Put everything we know/solved for into the original formula.
y = -2x + 7
Best of Luck!
Graph each integer or set of integers on a number line.
Go math 6th grade
Please help mEEeEEEEEeEAEE
Answer:
uhhhhh whats the promblem i will help..
Step-by-step explanation:
If PQR ≈ STU complete each part
*see attachment for the complete diagram and what is required.
Answer:
✅ST = 7 m
✅SU = 8 m
✅m<R = 46°
✅m<Q = 75°
✅m<S = 59°
Step-by-step explanation:
Given that ∆PQR ≅ ∆STU, therefore, their corresponding sides and angles would be congruent to each other.
Thus:
<P ≅ <S, therefore, m<P = m<S = 59°
<Q ≅ <T, therefore, m<Q = m<T = 75°
<R ≅ <U, therefore, m<R = m<U.
PQ ≅ ST, therefore, PQ = ST
QR ≅ TU, therefore, QR = TU
PR ≅ SU, therefore, PR = SU
Let's find the measure of the following with the information we already know:
✅ST = PQ = 7 m
✅SU = PR = 8 m
✅m<R = 180 - (m<P + m<Q) (sum of ∆)
m<R = 180 - (59°+ 75°) (substitution)
m<R = 180 - 134
m<R = 46°
✅m<Q = m<T = 75°
✅m<S = m<P = 59°
The length of the segment ST is 7m, the length of the segment SU is 8m, angle R is 46 degrees, angle Q is 75 degrees, and angle S is 59 degrees.
Given :
PQR ≈ STUThe segment PR = 8 mThe segment PQ = 7 mAngle RPQ is 59 degrees.Angle STU is 75 degrees.The following steps can be used in order to complete each part:
Step 1 - Angle P is similar to angle P therefore, angle S is 59 degrees.
Step 2 - Angle Q is similar to angle T therefore, angle Q is 75 degrees.
Step 3 - Angle R is similar to angle U therefore, angle R and angle U are equal.
Step 4 - Segment PQ is similar to segment ST, therefore the length of segment PQ is equal to the length of segment ST.
Step 5 - Segment QR is similar to segment TU, therefore the length of segment QR is equal to the length of segment TU.
Step 6 - Segment PR is similar to segment SU, therefore the length of segment PR is equal to the length of segment SU.
Step 7 - Apply the sum of interior angle property on the triangle PQR.
[tex]\rm \angle R + 59 + 75 = 180[/tex]
[tex]\rm \angle R = \angle U = 46^\circ[/tex]
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a car is traveling at a constant speed. it travels 3 2/1 miles in 5 1/4 minutes. how many minutes will it take the car to go 70miles
Answer:
105 minutes
Step-by-step explanation:
i’m really bad at math word problems so yeah lol don’t make fun of me
Answer:
b
Step-by-step explanation:
B. She earns money and doesn't spend anything, according to the word problem, so it is B, officially meaning she has earned $5=$13
Kevin bought twelve 8-ounce bottles of water. How many milliliters of water did Kevin buy? (Note: 1 ounce ≈ 30 ml) Thank you for any help I may get! <3
Given:
Kevin bought twelve 8-ounce bottles of water.
1 ounce ≈ 30 ml
To find:
The quantity of water in milliliters
Solution:
We have,
1 ounce ≈ 30 ml
8 ounce ≈ 8×30 ml
8 ounce ≈ 240 ml
It means, one 8 ounce bottle can hold about 240 milliliters of water.
Total number of bottles = 12
So, the quantity of water Kevin buy in milliliters is
[tex]12\times 240=2880[/tex]
Therefore, Kevin buys 2880 milliliters of water in twelve 8-ounce bottles.
the equation p = 3s represents the perimeter p of an equilateral triangle with side length s. what is the perimeter of an equilateral triangle with side length 4 km?
Answer: 12
Step-by-step explanation:
p=3s
s=4
p=3(4)
P=12
Help me answer the question please
Answer:
A
Step-by-step explanation:
4x - 2 and 3x + 6 are alternate angles and congruent, thus
4x - 2 = 3x + 6 ( subtract 3x from both sides )
x - 2 = 6 ( add 2 to both sides )
x = 8