Answer:
see below
Step-by-step explanation:
He forgot to multiply 'x' by '2' in the first step
It should be
4x-1 = 5 + 2 x
2x = 6
x = 3
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
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
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
The diameter of a coin is 2 cm. what is the circumference of the coin
Help me please
Answer: 6.28
Radius:
r=d/2
r=2/2
r=1
Circumference:
C=2(3.14)r
C=2(3.14)x1
C=2(3.14)
C=6.28
Formulae:
Circumference= 2(3.14)r(radius)
Radius=Diameter/2
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
2. MGSE7.G.5: What is the value of x?
A. 74°
B. 148°
C. 37°
74€
D. 106°
Will give brainliest
Which of the following is equivalent to (5x−6)(2x+3)?
A.(5x)(2x)+(6)(3)
B.(5x−6)(2x)−(5x−6)(3)
C.(5x−6)(2x)+(5x−6)(3)
D.(5x−6)(2x)+(−6)(3)
Answer:
i think its c but i could be wrong
Answer:
The answer is C.
Step-by-step explanation:
Using distributive property.
(5x-6)(2x+3) = (2x+3)(5x-6)
2x*(5x-6)+3*(5x-6)
difference of -150 and 325
Step-by-step explanation:
[tex] - 150 - 325 = - 340[/tex]
Please Help No fake anwsers PLEASE
Determine a relationship between the x- and y-values. Write an equation.
A: y = x − 5
B: y = x − 3
C: y = −3x + 1
D: y = −x − 3
Answer:
y = x - 3
Explanation:
take two points: (1, -2), (2, -1)
Find slope:
[tex]\boxed{\sf \frac{y_2 - y_1}{x_2 - x_1} }[/tex] where (x1, y1), (x2, y2)
[tex]\sf \rightarrow \dfrac{-1-(-2)}{2-1}[/tex]
[tex]\sf \rightarrow 1[/tex]
Equation:
y - y1 = m(x -x1)
y - (-2) = 1(x-1)
y + 2 = x - 1
y = x - 3
Answer:
[tex]\huge \boxed{\bf{y = x - 3}}[/tex]
Step-by-step explanation:
Given:-
Take two point:
(1, -2), (2, -1)To find:-
equation of lineAns:-
~Find slope in two point:
(1, -2) [tex]\Rarr (x_1, y_1)[/tex](2, -1) [tex]\Rarr (x_2, y_2)[/tex][tex]\sf \to m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex]\sf \to m = \frac{-1 - (-2)}{2 - 1} [/tex]
[tex]\sf \to m = \frac{1}{1} [/tex]
[tex]\sf \to m = 1 [/tex]
[tex] \: [/tex]
~Find equation:
[tex] \sf \to y - y_1 = m(x - x_1) [/tex]
[tex] \sf \to y - (-2) = 1(x - 1) [/tex]
[tex] \sf \to y + 2 = x - 1 [/tex]
[tex] \sf \to y = x - 1 - 2 [/tex]
[tex] \sf \to y = x - 3 [/tex]
[tex] \: [/tex]
[tex] \huge\colorbox{blue}{BlackPain} [/tex]
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.
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:
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 dose x stand for 11 + x/9 = 4
Answer:-63
Step-by-step explanation:
well first you would do 4-11 which is -7 and then -7x9=-63
Answer:
-63
Step-by-step explanation:
1. Subtract 11 from both sides:
[tex]\frac{x}{9} =-7[/tex]
2. Multiply both sides by 9 to isolate x:
[tex](9)\frac{x}{9} =-7(9)[/tex]
x = -63
hope this helps!
9x -2 > 5 < 3x
Find the third side?
The length of the third side is a-2. :))
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 LearningThe diagram shows the height of a cone that holds ice cream the current has a volume of 1.5 pi cubic inches which measurement is closest to the radius of the cone in inches
The radius of the cone-shaped icecream that has a height of 4.5 in. and a volume of 1.5π in.³ is: 1 inches.
What is the Volume of a Cone?Volume = 1/3πr²h
The parameters of the cone are given below:
Height (h) = 4.5 in.
Volume of the cone = 1.5π in.³
Plug in the values to find radius (r):
1.5π = 1/3πr²(4.5)
3(1.5π) = πr²(4.5)
4.5π = πr²(4.5)
Divide both sides by 4.5π
1 = r²
r = 1 in.
Radius of the cone is 1 in.
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write a polynomial function with 3,-2,-5
Answer:
3x³ - 2x² + x - 5
Hope this helps!
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]
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.
Si quieres aprender más sobre distancias:
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Pls help! This is due soon! Would appreciate it! :))
Answer:
Step-by-step explanation:
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?
using the formula y=mx+b whats the equation of (2,-8) with a slope of -1?
Answer:
y = -x - 6
Step-by-step explanation:
Given:
slope = -1point (2,-8)From:
[tex]\displaystyle \large{y=mx+b}[/tex]
where m = slope and b = y-intercept. Therefore:
[tex]\displaystyle \large{y=-1x+b}\\\displaystyle \large{y=-x+b}[/tex]
Since the equation passes through a point (2,-8). Substitute x = 2 and y = -8 in and solve for b:
[tex]\displaystyle \large{-8=-2+b}\\\displaystyle \large{-8+2=b}\\\displaystyle \large{b=-6}[/tex]
Then substitute b-value in the equation:
[tex]\displaystyle \large{y=-x+b}\\\displaystyle \large{\therefore y=-x-6}[/tex]
Hence, the equation is y = -x - 6
Answer:
y = -x - 6
Step-by-step explanation:
Hi there!
We are given that a line contains the point (2, -8), and a slope of -1
We want to find the equation of this line, in slope-intercept form
Slope-intercept form is written using the formula y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name
Notice how we are already given the slope - we can immediately plug that into the equation as m.
y = -x + b (when -1 is the coefficient in front of a number, there is no need to write '-1x'. '-x' is sufficient.)
Now, we need to find b
The line contains the point (2, -8), meaning that it is a solution to the equation. If this is the case, that means that the values of x and y that make up the point will make the equation true, when you plug those values into the equation
So substitute 2 as x and -8 as y:
-8 = -2 + b
Add 2 to both sides
-8 = -2 + b
+2 + 2
_____________
-6 = b
Substitute -6 as b.
y = -x -6
Hope this helps!
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Will mark brainlyest!
Answer: the answer is D which is 4cm2
help me guy's! Please i need now. I need A solution and answer
Given
1. 10, 13, 15, 18, 14, 12, 11, 13, 19, 20
Mean______ Median ______ Mode _____
2. 75, 84, 90, 77, 84, 78, 91, 94, 83
Mean______ Median_______ Mode______
3. 20, 35, 26, 31, 21, 32, 20, 28
Median_______ Median_______ Mode______
4. 80, 87, 90, 82, 87, 91, 88, 87, 93, 85
Median_______ Median________ Mode_____
5. 12, 15, 11, 16, 23, 14, 16, 12 13
Median_______ Median________ Mode_____
Answer:
Mean: 14.5 Median: 13.5 Mode: 13Mean: 84 Median: 84 Mode: 84Mean: 26.625 Median: 27 Mode: 20Mean: 87 Median: 87 Mode: 87Mean: 14.667 Median: 14 Mode: 12, 16Step-by-step explanation:
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
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
Can someone help me with this please
Answer:
1. 4th one (bottom right)
2. y=x -5
3. positive trend
PLEASE I NEED HELP!
Circle A is shown with a central angle marked 30 degrees and the radius marked 5 inches.
Which of the following could be used to calculate the area of the sector in the circle shown above?
π(5in)30 over 360
π(5in)230 over 360
π(30in)25 over 360
π(30in)5 over 360
π(5in)² * 30 over 360 can be used to determine sector area.
[tex]\sf sector \ area \ : \dfrac{\theta}{360} *\pi *radius^2[/tex]
# radius = 5 inches
# angle = 30 degrees
sector area:
[tex]\hookrightarrow \sf \dfrac{30}{360} *\pi *5^2[/tex]
[tex]\hookrightarrow \sf \dfrac{1}{12} *\pi *25[/tex]
[tex]\hookrightarrow \sf \dfrac{25}{12}\pi[/tex]
[tex]\hookrightarrow \sf 6.54 \ inch^2[/tex]
Answer:
[tex]\pi (5\: \sf in)^2\left(\dfrac{30^{\circ}}{360^{\circ}}\right)[/tex]
π(5in)² 30 over 360
Step-by-step explanation:
[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]
(where [tex]\theta[/tex] is the angle and r is the radius)
Given:
[tex]\theta[/tex] = 30°r = 5 inSubstituting these values into the equation:
[tex]\begin{aligned}\implies\textsf{Area} &=\left(\dfrac{30^{\circ}}{360^{\circ}}\right) \pi \cdot (5\: \sf in)^2\\\\ & = \pi (5\: \sf in)^2\left(\dfrac{30^{\circ}}{360^{\circ}}\right)\\\\ & = \pi \cdot 25\:(\sf in^2) \cdot \dfrac{1}{12}\\\\ & = \dfrac{25}{12} \pi \:(\sf in^2) \\\\ & = 6.54\: \sf in^2\:(nearest\:hundredth) \end{aligned}[/tex]
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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