9x -2 > 5 < 3x
Find the third side?
The length of the third side is a-2. :))
Solve for the vaule of x:-
[tex]2x+3 = 5[/tex]
Answer:
The value of x = 1
Step-by-step explanation:
2x+3 = 5
=> 2x = 5-3
=> 2x = 2
=> x = 2/2
=> x = 1
Answer:
x = 1Step-by-step explanation:
In this question we are given with an equation that is 2x + 3 = 5 . And we are asked to find the value of x .
Solution : -
[tex] \longmapsto \qquad \: 2x + 3 = 5[/tex]
Step 1 : Subtracting with 3 on both sides :
[tex] \longrightarrow \qquad \:2x + \cancel{ 3} - \cancel{3} = 5 - 3[/tex]
On further calculations, We get :
[tex] \longrightarrow \qquad \:2x = 2[/tex]
Step 2 : Dividing with 2 on both sides :
[tex] \longrightarrow \qquad \: \dfrac{ \cancel{2}x}{ \cancel{2}} = \cancel{\dfrac{2}{2} }[/tex]
On calculating further, We get :
[tex] \longrightarrow \qquad \: \blue{\underline{\boxed{ \sf{x = 1}}}} \quad \bigstar[/tex]
Henceforth , value of x is 1 .Verifying : -
Now we are checking our answer by substituting value of x in the given equation . So ,
2x + 3 = 52 ( 1 ) + 3 = 52 + 3 = 55 = 5L.H.S = R.H.SHence , Verified .Therefore , our answer is correct .
#Keep Learning At the state fair,
a person must be at least 138 centimeters tall
to ride the roller coaster. Billy wants to ride
the coaster. He is 4 feet 7 inches tall. Is Billy tall
enough to ride the coaster? Explain.
Answer:
Yes
Step-by-step explanation:
Billy is 4'7
138 centimeters in feet is 4'5
sp billy is 2 inches over the requirment.
If a rectangle has a length that is three times the width increased by 4. Find the dimensions of both the length and width if the
perimeter of the rectangle is 80 centimeters
Answer:
width is 9
length is 13
Step-by-step explanation:
l=3b +4
w=b
(3b+4)2+2b=80
6b+8+2b=80
8b+8=80
8b=80-8=72
b=72/8
b=9
What numbers multiply to get 72 and add to get 12?
Answer:
9,8,3
Step-by-step explanation:
9×8=72
9+3=12
as you can see the common number is 9 here
difference of -150 and 325
Step-by-step explanation:
[tex] - 150 - 325 = - 340[/tex]
2. MGSE7.G.5: What is the value of x?
A. 74°
B. 148°
C. 37°
74€
D. 106°
Given g(x)=4x-2/5 find the inverse
Answer:
g^-1(x)=1/4x+1/10
Step-by-step explanation:
y=4x-2/5
x=4y-2/5
4y-2/5=x
20y-2=5x
20y=5x+2
y=1/4x+1/10
g^-1(x)=1/4x+1/10
Can someone help me with this please
Answer:
1. 4th one (bottom right)
2. y=x -5
3. positive trend
James opens 2 different savings accounts and deposits $12,000 into each one. account i earns 2.2% interest compounded annually. account ii earns 2.2% annual simple interest. there are no additional deposits or withdrawals. what is the sum of the total balances of these accounts at the end of 7 years?
Simple interest is a method of calculating interest on an amount. The sum of the total balances of these accounts at the end of 7 years is $27,822.54.
What is simple interest?Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
[tex]\rm Simple\ Interest=\dfrac{P\times R \times T}{100}[/tex]
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
As it is given that the amount deposited by James is $12,000. While the interest earned on the first account is 2.2% compounded annually for a period of 7 years, therefore, the balance in the account will be,
[tex]\text{Account balance of first Account} = P(1+r)^t = 12,000(1.022)^7=\$13,974.54[/tex]
In the second account, James deposited $12,000 at a rate of 2.2% annual simple interest. Therefore, the balance in the account will be,
[tex]\text{Account balance of second Account} = P+\dfrac{P\times R \times T}{100}[/tex]
[tex]=12,000+\dfrac{12,000 \times 2.2 \times 7}{100} \\\\= \$13,848[/tex]
Now, the balance of the account when combined together will be,
[tex]\rm Total\ Balance = \text{Account balance of first Account} +\text{Account balance of second Account} \\\\\rm Total\ Balance = \$13,974.54+\$13,848 = \$27,822.54[/tex]
Hence, the sum of the total balances of these accounts at the end of 7 years is $27,822.54.
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Y’all need to solve this to see if I’m correct… I got the answer of 144 is it correct? If not what’s the real answer..
Answer:
Answer is 144 yeah you're good
Step-by-step explanation:
To find any sum of the interior angles for any regular polygon, you would use the equation (n - 2) * 180 [With n being the number of sides the polygon has]
Since the decagon has 10 sides n would be equal to 10, now plug it into this equation
[tex]= (10 - 2) * 180\\= 8 * 180\\= 1440[/tex]
So now we know the sum of the interior angles of the decagon is 1440, now if you were to find out the measurement of an interior angle for this decagon you would divide the sum of the interior angles by the amount of sides of the polygon.
In which case, the decagon has ten sides so...
[tex]= \frac{1440}{10} \\= 144[/tex]
hello, can anyone help me, please?
Find the circumference and area of the circle. Each unit on the graph measures 1 centimeter. Round to the nearest tenth, if necessary.
The circumference of the circle, to the nearest tenth, is: 47.1 cm
The area of the circle, to the nearest tenth, is: 176.7 cm²
What is the Area and Circumference of a Circle?Circumference = 2πrArea = πr², where r is the radius of the circle.Since each unit = 1 cm on the graph, radius = 7 1/2 = 7.5 cm.
Circumference = 2πr = 2π(7.5)
Circumference = 47.1 cm
Area = πr² = π(7.5²) = 176.7 cm²
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What is the measure of angle B in the triangle?
This triangle is not drawn to scale.
Enter your answer in the box.
m∠B=
°
Answer:
Step-by-step explanation:
(2x-30) + 40 + (x+20)=180
=3x+30=180
=3x=150
=x=50
B=70
In 60 seconds, Darrell walks 90 meters.
Select the two answers that describe the unit rate at which he walks.
1.5 seconds per meter
1.5 meters per second
90 meters per second
112 meters every second
30 meters every second
30 seconds per meter
Ajar contains 3 pink balls, 6 blue balls, and 3 red balls.
Event A = drawing a red ball on the first draw
Event B = drawing a pink ball on the second draw
If two balls are drawn from the jar, one after the other without replacement,
what is P(A and B) expressed in simplest form? A 3/44. B 4/9. C 3/11. D 1/4
Answer:
A: 3/44
Step-by-step explanation:
If you draw a red ball, it would have a 3/12 probability and then if you draw a pink, it would have a 3/11. Multiply 3/11 to 3/12 to get 3/44
Hope I could help :)
Answer:
A
Step-by-step explanation:
Solve for x
x= ?
3x-4 3x-8
Answer:
x = 32
Step-by-step explanation:
=> (3x-4) + (3x-8) = 180° (Linear pair)
=> 6x - 12 = 180
=> 6x = 192
=> x = 192/6
Therefore x = 32
Can someone help me please?
Answer:
its too small to see
Step-by-step explanation:
Pump 1 can empty a pool in 9 hours while Pump 2 can empty the same pool in 12 hours. If the two pumps worked together, how long would it take them to empty the pool?
about 5 hours and 30 minutes
about 5 hours and 10 minutes
about 5 hours and 20 minutes
about 5 hours
Answer:
About 5 hr 10 min
Step-by-step explanation:
rate 1 = 1 pool / 9 hrs rate 2 = 1 pool / 12 hours
now find the time with both rates combined
1 pool / ( 1/9 + 1/12) = 1/ (7/36) = 36/7 hr = 5 1/7 hr = 5 hr 8.6 min
An investment of $6,599.20 earns 4.2% interest compounded monthly over 7 years. approximately how much interest is earned on the investment? a. $2,250.96 b. $4,308.21 c. $6,762.59 d. $8,850.20
The interest earned on the investment f $6,599.20 earns 4.2% interest compounded monthly is $2,250.96
Compound interestThe compound interest is the interest added on a sum of money invested over a period of time. The formula for calculating the compound interest is expressed as:
A = P(1+r/n)^nt
Given the following
P = $6,599.20
r = 4.2% = 0.042
n = 12 (monthly)
t = 7 years
Substitute
A = 6,599.20 (1+0.042/12)^7(12)
A = 6,599.20 (1.0035)^84
A= $8,850.20
Interest = $8,850.20 - $6,599.20
Interest = $2,250.96
Hence the interest earned on the investment f $6,599.20 earns 4.2% interest compounded monthly is $2,250.96
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Answer:
IT'S A !
Step-by-step explanation:
EDGE
A rectangular prism is pictured below. What is the volume of the rectangular prism?
16 ½ 4 cm 9¼
A. 89 ¼cm³
B. 203 ½cm³
C. 576 ⅛ cm³
D. 610 ½cm³
Answer:
D: 610 ½cm³
Step-by-step explanation:
16 ½= 16.5
9 ¼= 9.25
V= L x W x H
V=16.5 x 4 x 9.25
16.5x4=66
66x9.25=610.5cm³
610.5cm³ = 610 ½cm³
there is your answer
THAT IS THE CORRECT ANSWER....
A QUESTION
ARE U HIGH SCHOOL?
Find the area of a sector of a circle with radius 6 centimeters and central angle 4pi/3 radians.
The area of the sector is 75.43 centimeters if the radius is 6 centimeters and the central angle 4pi/3 radians.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point (called the center of a circle).
We have the radius of the circle r = 6 centimeters
Central angle = 4π/3 = 240°
We know the area of the sector :
[tex]\rm =\dfrac{\theta}{360\°}\pi r^2[/tex]
[tex]\rm =\dfrac{240\°}{360\°}\pi (6)^2[/tex]
= 0.667×3.1415×36
= 75.43 square centimeters
Thus, the area of the sector is 75.43 centimeters if the radius is 6 centimeters and the central angle 4pi/3 radians.
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What is the cost of each filter if eight filters cost $39.922?
Please help!
Answer:
Your answer is exactly 100% $4.99!
Step-by-step explanation:
Answer:
$4.99 is your answer.
Step-by-step explanation:
Have a great morning, afternoon or night!
~Dreamer1331~
*Please mark BRAINLIEST if correct and you feel I deserve it, thank you!*
The sum of two numbers is 6. The second number is three more than twice the
first number. What are the two numbers?
Answer:
1.5 and 2
Step-by-step explanation:
Hey ! there
Answer:
First number = 1Second number = 5Step-by-step explanation:
In the question we are given that sum of two numbers is 6 , second number is three more than twice the first number .And We are asked to find the two numbers .
We are solving this question by assuming ,
First number as xSecond number as 2x + 3 ( Because in the question it is given that the second number is three more than twice the first number )Solution : -
As question says that sum of two numbers is 6 that is :
First number + Second number = 6Now , substituting value of first and second number which we have assumed above ,
[tex] \longmapsto \qquad \: x +2x + 3 = 6[/tex]
Step 1 : Adding like terms on left side :
[tex]\longmapsto \qquad \:3x + 3 = 6[/tex]
Step 2 : Subtracting with 3 on both sides :
[tex]\longmapsto \qquad \:3x + \cancel{3 }- \cancel{3 }= 6 - 3[/tex]
On further calculating, We have :
[tex]\longmapsto \qquad \:3x = 3[/tex]
Step 3 : Dividing with 3 on both sides :
[tex]\longmapsto \qquad \: \dfrac{ \cancel{3}x}{ \cancel{3} }= \cancel{ \dfrac{3}{3} }[/tex]
On calculating further, We get :
[tex]\longmapsto \qquad \: \blue{\underline{\boxed{ \pink{\sf{x = 1}}}}}[/tex]
We know that ,
x is our first numberTherefore , first number is ❝ 1 ❞ .
And ,
2x + 3 is our second number . So ,2 ( 1 ) + 32 + 35Therefore , second number is ❝ 5 ❞ .
Verifying : -
Now we are verifying our answer by adding both the numbers and equating it with 6 as it's given in question that sum of both the numbers is equal to 6 .
First Number + Second Number = 61 + 5 = 66 = 6L.H.S = R.H.SHence, Verified .Therefore, our answer is correct .
#Keep LearningPls help! This is due soon! Would appreciate it! :))
Answer:
Step-by-step explanation:
Un oso al que le encanta la miel quiere sacar miel de una colmena que hay en la rama de un árbol, pero está demasiado alta. Para alcanzarla, se sube en una roca de 12 dm de alto que hay justo debajo y, con las garras muy estiradas, llega justo a cogerla.
Si este oso cuando se estira mide exactamente 2,3 m, ¿a qué distancia del suelo estaba exactamente la colmena?
Tomando la suma de las alturas, veremos que la colmena está a 3.5 metros del suelo.
¿A qué distancia del suelo estaba exactamente la colmena?
La distancia del suelo será igual a la suma entre la altura del oso, que es 2.3 metros, y la altura de la roca, que es de 12 decimetros.
Recordar:
1dm = 1*10^(-1) m
Entonces podemos hacer el cambio de unidades:
12dm = 12*10^(-1) m = 1.2 m
Así, la suma de las alturas es:
1.2m + 2.3m = 3.5m
Es decir, la colmena está a 3.5 metros del suelo.
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Will mark brainlyest!
Answer: the answer is D which is 4cm2
i will give brainliest image below
Answer:
55°
Step-by-step explanation:
50+75=125. 180-125=55
55+90=145. 180-145=35
90-35=55
Angle ABC (B) is 55°
Method I used:
All lines need to add to 180° so I found the 3rd angle for C. Then I drew an imaginary line perpendicular to lines n and m that intersects line m at point B. The angles of that triangle need to add to 180° so I added 90° (right angle) with the 3rd angle of C (55°) then subtracted that value from 180 to get angle B. Then i found ABC (B).
100 Brainliest up for grabs to person who can answer all of these with no links:
Dave has a lawn mowing business. Based on daily sales figures for the past two summers, he has developed the following probability distribution for X = number of lawns mowed on a randomly selected day.
A) What is the probability that he will mow exactly 2 lawns on a randomly selected day?
B) What is the probability that he will mow at least 1 lawn on a randomly selected day?
C) What is the expected value (mean) of lawns mowed on a randomly selected day?
Using a discrete probability distribution, it is found that:
a) There is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.
b) There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.
c) The expected value is of 1.3 lawns mowed on a randomly selected day.
What is the discrete probability distribution?Researching the problem on the internet, it is found that the distribution for the number of lawns mowed on a randomly selected dayis given by:
P(X = 0) = 0.2.P(X = 1) = 0.4.P(X = 2) = 0.3.P(X = 3) = 0.1.Item a:
P(X = 2) = 0.3, hence, there is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.
Item b:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2 = 0.8[/tex]
There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.
Item c:
The expected value of a discrete distribution is given by the sum of each value multiplied by it's respective probability, hence:
E(X) = 0(0.2) + 1(0.4) + 2(0.3) + 3(0.1) = 1.3.
The expected value is of 1.3 lawns mowed on a randomly selected day.
More can be learned about discrete probability distributions at https://brainly.com/question/24855677
write a polynomial function with 3,-2,-5
Answer:
3x³ - 2x² + x - 5
Hope this helps!
help me with this please..!
Answer:
[tex]y \geq -4[/tex]
Step-by-step explanation:
This is because the lowest the y-coordinate goes to is -4.