answer::
7x=-1/9!!!!!
[tex] = \tt \frac{2}{3} (6x - \frac{1}{6} ) + 3x [/tex]
[tex] =\tt \frac{2}{3} \times 6x - \frac{2}{3} \times \frac{1}{6} + 3x[/tex]
[tex] =\tt \frac{2 \times 6}{3}x - \frac{2 \times 1}{3 \times 6} + 3x[/tex]
[tex] = \tt \frac{12}{3} x - \frac{2}{18} + 3x [/tex]
[tex] =\tt 4x - \frac{2 \div 2}{18 \div 2} + 3x[/tex]
[tex] = \tt4 x- \frac{1}{9} + 3x[/tex]
[tex] = \tt4x + 3x - \frac{1}{9} [/tex]
[tex] \color{plum}= \tt\bold{7x - \frac{1}{9} }[/tex]
Therefore,[tex] \color{hotpink}\tt \frac{2}{3} (6x - \frac{1}{6} ) + 3x \color{plm}= \color{plum}\tt\bold{7x - \frac{1}{9} } [/tex]
Henry was thinking of a number. Henry doubles it, then adds 4 to get an answer of 43.5. What was the original number
Answer:
17.75
Step-by-step explanation:
43.5 divided by 2 is 21.75
21.75 minus 4 equals 17.75
You're basically just using reverse operations to get back to the original number.
Can SOMBODY please help me with this?
HELP PLEASE!! I NEED ANSWER SOON!!!!!
Which of the following is true about the expression sqrt3*sqrt12?
A.It represents the product of two irrational numbers and is equivalent to a rational number.
B.It represents the product of two irrational numbers and is equivalent to an irrational number.
C.It represents the product of two rational numbers and is equivalent to a rational number.
D.It represents the product of two rational numbers and is equivalent to an irrational number.
Answer:
A. is correct
Step-by-step explanation:
sqrt3*sqrt12 can be rewritten as √3·√12, which can be extended to
√3·√3·√4.
Note that √4 = 2 and that (√3)^2 = 3,
so the final result is 2*3, or 6 (a rational number).
A. is correct: √3 and √12 are both irrational, but their product is rational.
I need help I need help on this question
Answer: Option B
Step-by-step explanation:
Find ∠LMQ in the parallelogram LMNQ.
Answer:
29 degrees
Step-by-step explanation:
alternate interior angles are equal
The measure of angle LMQ in the parallelogram LMNQ is 29 degrees
From the diagram, we have the following parameters
Angle NLQ = 100 degreesAngle MQN = 29 degreesAlso, from the diagram, angles MQN and LMQ are alternate interior angles
This means that, both angles are congruent
So, we have:
[tex]\angle LMQ = \angle MQN[/tex]
This gives
[tex]\angle LMQ = 29^o[/tex]
Hence, the measure of angle LMQ in the parallelogram LMNQ is 29 degrees
Read more about parallelograms at:
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Sarah gets a job paying $32,000 a year with the promise of a pay increase of 4% per year.
a. Write a recursive routine to help find Sarah's yearly pay each year.
Start with: 32000
Rule: Multiply by 1.04
b. To the nearest dollar, how much will Sarah make year 5?
c. During what year will Sarah first make more than $40,000 per year?
Answer:
a) P(x) = 32000*1.04^xb) $37435c) During year 7Step-by-step explanation:
Given
Initial pay = $32000Increase rate = 4%a. Formula
P(x) = 32000*1.04^xb. Year 5 is after 4 years, so we are looking for the value of P(4)
P(4) = $32000*1.04^4 = $37435c. P(x) = 40000, x = ?
40000 = 32000*1.04^x1.04^x = 40000/320001.04^x = 1.25log 1.04^x = log 1.25x = log 1.25 / log 1.04x = 5.69, this is 6 years afterThe required number of the years is 6 + 1 = 7
A number five times is twenty
five.
(write the equation )
Answer:
5x=25
Step-by-step explanation:
if you need the answer
5x5=25
5+5+5+5+5=25
You have a total of $24 in your bank
account. You owe your brother $8
and your sister $17. What is the
balance of your account?
Answer:
-$1.00
Step-by-step explanation:
Subtract amount of money you owe
17 + 8 = 25
24 - 25 = -1
The combined height of one fir tree and one pine tree is 212121 meters. The height of 444 fir trees stacked on top of each other is 242424 meters taller than one pine tree. How tall are the types of trees that Logan genetically engineered?
Answer: The height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.
Step-by-step explanation:
Let x= height of each fir tree, y = height of each pine tree.
As per given, we have
x+y = 21 (i)
4x=y+24 (ii)
From (ii),
[tex]4x-y=24[/tex] (iii)
Add (i) and (iii), we get
[tex]5x=45\\\\\Rightarrow\ x=\dfrac{45}{5}\\\\\Rightarrow\ x=9[/tex]
Put value of x in (i), we get
[tex]9+y=21\Rightarrow y=12[/tex]
Hence, the height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.
Answer:
Each fir tree is 9 meters tall and each pine tree is 12 meters tall.
Step-by-step explanation:
Look at attachment:
Hope this helps! :)
Help me PLEASEE I NEED HELP ASAPP
Answer:
[tex]=144\pi cm^{2} =452.16cm^{2}[/tex]
Step-by-step explanation:
[tex]A=\pi r^{2} =\pi 12^{2} = 144\pi cm^{2}[/tex]
The coordinates of the vertices of △GHI are G(−7,2), H(−2,2), and I(−2,8). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.
Answer:
a) Side lengths
= GH = 5 units
HI = 6 units
GI = 7.81 units
b) Angle measures
Angle G = 39.81°
Angle H = 90°
Angle I = 50.2°
Step-by-step explanation:
The coordinates of the vertices of △GHI are G(−7,2), H(−2,2), and I(−2,8). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.
Step 1
We find the side lengths using the coordinates formula
= √(x2 - x1)² + (y2 - y1)²
When we are given vertices (x1, y1) and (x2 , y2)
Coordinates of the vertices of △GHI are G(−7,2), H(−2,2), and I(−2,8).
For side length
GH = G(−7,2), H(−2,2)
= √(-2 - (-7))² + (2 - 2)²
= √(-2 + 7)² + (0)²
= √5²
= √25
= 5 units
For side length HI
HI = H(−2,2), and I(−2,8)
= √(-2 -(-2))² + (8 - 2)²
= √(0)² + (6)²
= √36
= 6 units
For side length GI
G(−7,2), I(−2,8)
= √(-2 -(-7))² + (8 - 2)²
= √(5)² + (6)²
= √25 + 36
= √61
= 7.81 units
Step 2
Angle measures
We find this using Cosine rules
Angle a = arc cos (b² + c² - a²/2bc)
Hence:
Finding
Angle G = arc cos (6² + 7.81² - 5² / 2 × 6 × 7.81)
= 39.81°
Angle H = arc cos (5² + 6² - 7.81² / 2 × 5 × 6)
= 90°
Angle I = arc cos (5² + 7.81² - 5² / 2 × 5 × 7.81)
= 50.2°
Answer:
GH = 5, HI = 6, GI ≈ 7.81
m∠H = 90°, m∠G ≈ 50°, m∠I ≈ 40°
Step-by-step explanation:
The area of a circle is 49π in². What is the circumference, in inches? Express your answer in terms of \piπ.
area of circle = π r²
π r²= 49 π
r²= 49 r= √49 r= 7
circumference of circle = 2 π r
= 2×7 × π
= 14 π
The circumference of a circle is 14π.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of πr.
The area of a circle is πr².
We have,
Area of a circle = 49π in².
Area of a circle = πr²
Now,
πr² = 49π
r² = 49
r = 7
Now,
Circumference of a circle.
= 2πr
= 2π x 7
= 14π
Thus,
The circumference of a circle is 14π.
Learn more about circle here:
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The equation of line AB is y = 2x + 4. Write an equation of a line parallel to line AB in slope-intercept form that contains point (3, 1). (3 points)
y = negative 1 over 2 x − 1 over 2
y = 2x + -5
y = − 1 over 2 x − 7 over 2
y = 2x − 8
Answer:
y=2x+-5. I think.
Step-by-step explanation:
ILL GIVE U BRAINLYIST
Answer:
B rectangle
Step-by-step explanation:
-5 1/2 + 6 3/4 + (-4 1/4)
Answer:
-3
Step-by-step explanation:
-5 1/2 + 6 3/4 - 4 1/4
= 1 1/4 - 4 1/4
= -3
What is the x- coordinate of point X
Answer:
abscissa
I know because intoke the test and it had the same answer in it
Find the measure of FEG 25,65,80,90
Answer:
First, you have to set 5x equal to (3x+10). They are vertical angles and therefore congruent.
5x = 3x+10 The variable should only be on one side of the equation,
5x - 3x = 10 Therefore subtract 3x from both sides
2x = 10 Divide by 2 on both sides.
x = 5
We're not done yet, since we've found the x-value we have to solve for ∠GEC.
∠GEC = 3x+10 = 3(5)+10 = 15+10 = 25°
∠GEC and ∠FEG form a right angle. This means that the sum of the two angles is 90°
90° = 25° + x In this case, we're using "x" to solve for ∠FEG
90-25 = x We subtract 25 from both sides to get the variable by itself.
65° = x
∠FEG = 65° The Answer is B
Step-by-step explanation:
Manny bought a two liter bottle of soda. He poured 1/4 of the bottle into his cup. How much soda does Manny have left in the bottle
PLZ HELP U WILL GET POINTS IF CORRECT ILL GIVE BRAINLIEST
Answer:
8 & 1/3
Step-by-step explanation
Answer:
14/3+11/3=25/3=8 1/3
Step-by-step explanation:
please help dont know how to solve
Answer:
35cm
98°
Step-by-step explanation:
4x+3=6x-13
4x+16=6x
16=2x
8= x
4x+3 = 8*4+3 = 35
9y+17=11y-1
9y+18=11y
18=2y
9=y
9y+17 = 9*9+17= 98°
A train covers a distance of 51 km in 45 minutes. How long will it take to cover 221 km?
Answer:
A train covers a distance of 51km in 45 minutes how long will it take to cover 221km. :. Total time it will take to cover 221 km= 195 minutes i.e. 3 hours 15 minutes. Hope it helps
oque apresenta caracteristicas cultural
Answer:
iniciações, tradições, história, valores e princípios, propósito, símbolos e limites.
Step-by-step explanation:
Brainliest PLSSS
PLEASE HELP AND QUICK WITH SHOWING THE WORK
Answer:
1. g=0
2. t=-11
3. v=56
4. d=-27
Step-by-step explanation:
1. add 4 to both sides
2. divide both sides by -5
3. multiply both sides by -7
4. multiply both sides by -3
Answer:1) g=0
2)t=-11
3)v=56
4)d=-27
Step-by-step explanation:
1) add 4 to both sides, g=0
2)divide by -5 on both sides to isolate the variable
3) multiply by the reciprocal (opposite) of -1/7 which is -7 on both sides to get 56
4) multiply by the denominator on both sides, so -3 to get -27
What is the value of x?
Answer:
sum of angles in a triangle is 180
so 55+80+x=180
135+x=189
x=180-135
x=45
An arts academy requires there to be 5 teachers for every 100 students and 3 tutors for every 36 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 96?
Answer:
20 students per teacher, 12 students per tutors, and 8 tutors for 96 students
Step-by-step explanation:
100/5=20
36/3=12
96/12=8
Two siblings ' ages have a sum of 64 years . The older sibling was born 6 years before their young sibling . Write a system of 2 equations . Solve the system using substitution . Report your answer in the form of ( older , younger ).
Answer:
younger sibling = 29 years
older sibling = 35 years
Step-by-step explanation:
Let
x = younger sibling
y = older sibling
x + y = 64 (1)
The older sibling was born 6 years before their young sibling
x = y - 6 (2)
Substitute x = y - 6 into (1)
x + y = 64
y - 6 + y = 64
2y = 64 + 6
2y = 70
y = 70/2
y = 35 years
Substitute y = 35 into (2)
x = y - 6
x = 35 - 6
x = 29 years
3(x+2)^2=48 with word steps
Answer:
Divide both sides by 3.
(x+2)^2=16
Square root both sides.
x+2= ± 4 (plus OR minus, can be either so we have to include both)
Minus 2 from both sides.
x=-2 ± 4
Add and minus the 4 to -2.
x = -2-4 = -6 and x=-2+4 = 2
Answer: x = -6, x = 2
Step-by-step explanation:
3(x+2)^2 = 48
(X+2)^2 = 16 —> divide both sides by 3.
(X+2) = 4 or -4 —> take square root. Remember plus or minus!
X + 2 = 4 —> make (x+2) equal to 4.
X = 2 <— solution.
X + 2 = -4 —> make (x+2) equal to -4.
X = -6 <— solution.
There are 12 cats and 11 dogs at the shelter. What is the ratio of cats to all animals?
A population of ants is 10,000 at the start of April. Since then, it triples each month.
Month since April Number of Ants
0
1
2
3
4
Answer:
Month since April Number of Ants
0 10,000
1 30,000
2 90,000
3 270,000
4 810,000
Every month, the ant population triples so the multiply the previous population by 3 to find out the new population.
0 months from April = 10,000 * 1 = 10,000 ants
1 month from April = 10,000 * 3 = 30,000 ants
2 months from April = 30,000 * 3 = 90,000 ants
3 months from April = 90,000 * 3 = 270,000 ants
4 months from April = 270,000 * 3 = 810,000
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