(6a - 8) + 50 = 90
6a - 8 + 50 = 90
6a + 42 = 90
6a = 90 - 42
6a = 48
a = 48/6
•°• a = 8
What is the simplified form of the expression? HELP ASAP
Answer:
[tex]360[/tex]
Step-by-step explanation:
[tex] \frac{5(14 - 2)^{2} }{2} = \frac{5 {(12)}^{2} }{2} = \frac{5(144)}{2} \\ \\ \frac{720}{2} = 360[/tex]
Answer:
The answer is option (d) 360.
Step-by-step explanation:
Solution :[tex]\implies{\tt{\dfrac{5(14 - 2)^{2} }{2}}}[/tex]
[tex]\implies{\tt{\dfrac{5(12)^{2} }{2}}}[/tex]
[tex]\implies{\tt{\dfrac{5(12 \times 12) }{2}}}[/tex]
[tex]\implies{\tt{\dfrac{5(144) }{2}}}[/tex]
[tex]\implies{\tt{\dfrac{5 \times 144 }{2}}}[/tex]
[tex]\implies{\tt{\dfrac{5 \times \cancel{144}}{ \cancel{2}}}}[/tex]
[tex]\implies{\tt{5 \times 72}}[/tex]
[tex]\implies{\tt{360}}[/tex]
[tex]\dag{\underline{\boxed{\sf{\red{360}}}}}[/tex]
Hence, the answer is 360.
[tex]\rule{300}{1.5}[/tex]
Learn More :✧ BODMAS :
↝ BODMAS rule is an acronym used to remember the order of operations to be followed while solving expressions in mathematics.
It stands for :-
⠀ ⇝ B - Brackets,
⠀ ⇝ O - Order of powers or roots,
⠀ ⇝ D - Division,
⠀ ⇝ M - Multiplication
⠀ ⇝ A - Addition
⠀ ⇝ S - Subtraction.
↝ It means that expressions having multiple operators need to be simplified from left to right in this order only.
✧ BODMAS RULE :
↝ First, we solve brackets, then powers or roots,then division or multiplication (whatever comes first from the left side of the expression), and then at last subtraction or addition.
⠀ ↠ Addition (+)
⠀ ↠ Subtraction (-)
⠀ ↠ Multiplication (×)
⠀ ↠ Division (÷)
⠀ ↠ Brackets ( )
[tex]\rule{300}{1.5}[/tex]
On a map, two cities are 5 3/4 inches apart. the scale of the map is 1/2 inch equals 3 miles. what is the actual distance between the towns?
Answer:
18
Step-by-step explanation:
5.5 x 3=16.5
Add 1.5 and you get 18
PLEASE HELP
Timmy has a collection of 95 coins consisting of
dimes and nickels in his piggy bank. The total value of his
bank is $6.50. How many dimes are in his collection? How
many
nickels are in the collection?
Answer:
35 dimes and 60 nickels
Step-by-step explanation:
let d = # of dimes and n = # of nickels
We know that Timmy has a total of 95 coins, consisting of dimes and nickels
So d + n = 95
The total value of his bank is $6.50
A dime is worth $0.10 and a nickel is work $0.05
So 0.10d + 0.05n = $6.50
Note that we've just created a system of equations that we can solve
We have the two equations
0.10d + 0.05n = 6.50 and d + n = 95
There are many different methods we can use to solve this system but the easiest way in this situation is probably going to be the substitution method.
First we are going to want to rearrange the terms of the second equations so that one of the variables are defined.
d + n = 95
- subtract d from both sides -
n = 95 - d
We now defined "n"
Now that we have defined one of the variables we can plug in ( or substitute ) the value of it into the other equation. Once we substitute it we can solve for the other variable.
0.10d + 0.05n = 6.50
n = 95 - d
0.10d + 0.05(95 - d) = 6.50
we now solve for d
0.10d + 0.05(95 - d) = 6.50
step 1 distribute the 0.05
0.05 * 95 = 4.75 and 0.05 * -d = -0.05d
0.10d + 4.75 - 0.05d = 6.50
step 2 combine like terms 0.10d - 0.05d = 0.05d
0.05d + 4.75 = 6.50
step 3 subtract 4.75 from both sides
0.05d = 1.75
step 4 divide both sides by 0.05
0.05d / 0.05 = d and 1.75 / 0.05 = 35
d = 35
Now that we have found the value of one variable we can plug it into one of the equations and solve for the other variable ( note that the equation that we use does not matter, we will acquire the same answer )
d + n = 95
d = 35
35 + n = 95
subtract 35 from both sides
n = 60
We can conclude that he has 35 dimes and 60 nickels
bob has 20 apples, billy has 20 pears, bob gives 4 pears to his little sister, billys uncle gives him 69 bananas. What is the difference between the total fruits billy and bob have
Answer:
73
Step-by-step explanation:
Bob
20-4=16
Billy 20+69=89
89-16=73
1.(03.02)
Is (x + 4) a factor of f(x) = x3 - 2x2 + 5x + 1? Use either the remainder theorem or the factor theorem to explain your reasoning.
Answer:
no
Step-by-step explanation:
By the factor theorem
If (x + h) is a factor of f(x) then f(- h) = 0
Given (x + 4) with h = - 4 , then
f(- 4) = (- 4)³ - 2(- 4)² + 5(- 4) + 1
= - 64 - 2(16) - 20 + 1
= - 64 - 32 - 19
= - 115
Since f(- 4) ≠ 0 then (x + 4) is not a factor of f(x)
how do I do this, what is the answer?
Answer:
g=2-X/-3
Step-by-step explanation:
X=3g+2
To make g the subject, make it stand alone
While transferring 3g to the other side of the equation, the sign changes i.e + changes to -
The equation will then be written as: -3g = -X + 2 or -3g = 2 - x
Divide both sides by -3
g= (2-x)/-3
If anyone knows how to do this please help, its for a test and I have to finish the course by 11:59 tonight
Answer: The answer to this inequality is C.
NEED HELP ASAP…………..
Answer:
It is the second answer.
Step-by-step explanation:
Make x the subject of the formula,
y (x-4) squared +6
Answer:
Is "y (x-4) squared +6": y = (x-4)^2 + 6?
If so,
x = y^(1/2) - 6^(1/2) + 4
Step-by-step explanation:
Assuming the equation is: y= (x-4)^2 + 6y^(1/2)= (x-4) + 6^(1/2)
(x-4) = y^(1/2) - 6^(1/2)
x = y^(1/2) - 6^(1/2) + 4
Answer plz school is stressful
Answer:
1 month.
Step-by-step explanation:
When reading a graph, the most important thing is knowing what the axes are. Here, the horizontal x-axis is months, and the vertical y-axis is the number of books read. Those are our 2 variables.
Now, a line on a graph shows the relationship between those 2 variables. At any given point on the line, it'll have an output value of y (books read) for whatever input value of x.
The question gives you the value on the y-axis (books read), so all you need to do is find the value of x that corresponds to that point on the line. I marked that point on the line in the attached image. Look directly below that point on the line, and you can see that 1 month corresponds to 4 books read.
truncate 4087.2 to the tens
Answer:
4080
Step-by-step explanation:
When the number is truncated to the tens place, the digits to the right of that place are made to be zero. The truncated value is ...
4080
_____
When a number is truncated, there is no rounding.
60
60
boys at a summer camp were asked to complete a survey about their favorite outdoor activity.
18
18
boys chose biking and 29
29
boys chose fishing.
The remaining boys did not complete the survey.
Which expression gives the percent of survey participants who chose fishing?
Answer:
48.3%
Step-by-step explanation:
When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.
So, since our denominator in 29/60 is 60, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:
100 ÷ 60 = 1.6666666666667
Once we have that, we can multiple both the numerator and denominator by this multiple:
29 x 1.6666666666667
60 x 1.6666666666667
=
48.333333333333
100
Now we can see that our fraction is 48.333333333333/100, which means that 29/60 as a percentage is 48.3333%.
the difference between 3 1/2 and 1 4/5 is
Answer:
1 7/10
Step-by-step explanation:
3 1/2 - 1 4/5 = ?
3 5/10 - 1 8/10 = ?
2 5/10 - 8/10 = ?
1 15/10 - 8/10 = 1 7/10
It would be too much to write so here is a photo instead :D
Answer:
C) Justine left her grandmother's house and walked 3 blocks directly south. Then she walked 3 blocks directly north. At this point, how many blocks was Justine from her grandmother's house?
Explanation:
C is the only answer choice where you are starting at 0. Justine goes down 3 blocks and comes back up 3 blocks getting her back to 0.
Answer choice A goes from -10 to 10.
Answer choice B goes from -16 to 16.
Answer choice D goes from 10 to -10.
subtract:-
-5/12 from 2
2 5/12 or 29/12
hope it helps ?
study well:)
Answer: Deopends. See below.
Step-by-step explanation:
-5/12 from 2
The question is poorly worded. Is it asking us to subtract -5/12 from 2? Or are we being asked to subtract 5/12 from 2?
Assuming the first:
2 - (-5/12)
2 + 5/12
2 5/12 or 24/12 + 5/12 = 29/12
Assuming the second:
2 -5/12
24/12 - 5/12
19/12
Find the solution of the equation. 2(2x + 3) = -4 + 2(2x + 5) x = 0 infinitely many solutions x = -2 no solution
Answer:
Infinitely Many Solutions
Step-by-step explanation:
[tex]2(2x+3)=-4+2(2x+5)\\\\4x+6=-4+4x+10\\\\4x+6=4x+6\\\\Infinitely~Many~Solutions[/tex]
Jason likes to play video games. His parents allow him to play
Answer:
If its for a reasonable time yes, most parents will let their child to play a reasonable time. However, if things get out of control resulting the child being addicted to video games. It is the child's fault and parent's fault
School days: 0 to 60 minutes per day On school days and 2 hours or less on non- school days. There is some advantages in gaming. But in all don't play to much if so, your body will melt. ( not really but melt melt)
Alice plants carrots in a rectangular garden bed. The garden bed has a width of 1.5
meters and an area of 6 square meters. Which equation and solution correctly represent
2, the length, in meters, of the rectangular garden bed?
Help
Answer:
4
Step-by-step explanation:
6 divided by x equals the width 1.5
or
x times 1.5 equals the area 6
then divide the 6 by 1.5 equals 4
I Hope I Helped YOU :)
Evaluate the expression below at x = 6.
i linked the numbers in a image
A.
606
B.
396
C.
468
D.
1,692
Answer:
B
Step-by-step explanation:
you can break the 78 into 70 and 8, and multiply them separately by 6 and then add the two answers to get 468
I need help with solving a system of equations using elimination
Answer:
do it your self.
Step-by-step explanation:
Which expression is equivalent to (5^3)-2
Answer:
D)
Step-by-step explanation:
Can someone please help me with this and fast
Answer:
B) √a
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
√a = a^(1/2)
(a^b)/(a^c) = a^(b-c)
__
A) (a^(1/8))(a^(1/8)) = a^(1/8+1/8) = a^(1/4)
B) √a = a^(1/2) . . . . . . . . . . . . . not equal to a^(1/4)
C) a^(3/4)/a^(1/2) = a^(3/4-1/2) = a^(1/4)
D) (a^(1/8))^2 = a^(1/8+1/8) = a^(1/4) . . . . . same as (A)
En la estrella la
suma de los cuatro
números de la línea
es la misma. ¿Cuáles
son los valores de: b
y c?
Sabiendo que en la estrella la suma de los cuatro números de la línea es la misma, la respuesta correcta es la opción c) los valores de b y c son 9 y 8 respectivamente.
En primer lugar, sabes que en la estrella la suma de los cuatro números de la línea es la misma.
Por lo que es conveniente escoger aquella línea en donde todos los valores son conocidos, de manera de poder estimar el valor de la suma. De esta manera, se calcula:
12 +1 +2 +15= 30
Entonces la suma en todas las líneas debe dar como resultado 30.
Para calcular el valor de c y d, es preferible elegir aquellas líneas en donde solo aparezca b y donde solo aparezca c.
Entonces, escogiendo aquella línea donde se tiene como incógnita sólo el valor de b y sabiendo que debe sumar 30, se tiene:
12 + (8-3) + 4 + b= 30
Resolviendo:
12 + 5 + 4+ b= 30
21 + b=30
b= 30 - 21
b= 9
Por otro lado, eligiendo aquella línea donde se tiene como incógnita sólo el valor de c y sabiendo que debe sumar 30, se tiene:
15 + 3 +4 + c= 30
22 + c= 30
c=30 - 22
c= 8
Finalmente, se decide verificar en aquellas líneas donde aparecen ambos valores de c y d, o aquellas líneas que no se hayan utilizado previamente, de manera que sumen 30. Entonces:
Primera verificación: 2c +2 +3 +b= 2×8 +2 +3+ 9= 16 +2 +3+ 9= 30
Segunda verificación: 2c +1 +(8-3) +c= 2×8 +1 +5+ 8= 16 +1 +5+ 8= 30
De esta manera se comprueba que en todas las líneas de la estrella la suma de los cuatro números es la misma.
En resumen, la respuesta correcta es la opción c) los valores de b y c son 9 y 8 respectivamente.
Aprende más con este problema similar
https://brainly.com/question/25206811?referrer=searchResultsOn a map, 1 cm represent 250 km. How many kilometres does 7 cm represent?
Answer:
1750
Step-by-step explanation:
Just multiply 250 by 7. There are 250 km in 1cm, so in 7 centimeters, there will be 7 times as much as in 1 centimeter.
A number is equal to 3 times a smaller number. Also, the sum of the smaller number and 4 is the larger number. The
situation is graphed on the coordinate plane below, where x represents the smaller number and y represents the
larger number.
Which two equations represent the situation?
A. y = 1/3x and y = x - 4
B. y = 1/3x and y = x + 4
C. y = 3x and y = x + 4
D. y = 3x and y = x - 4
Chef Ira has 613 pies he wants to sell at his restaurant. Each slice is 16 pie and costs $1.50. Chef Ira sells all the remaining slices of pie.
How much money will he earn?
A. $9.00
B. $9.50
C. $38.00
D. $57.00
if 18 plums weigh 54 ounces then 27 plums weigh x ounces
Answer:
81 ounces
Step-by-step explanation:
Divide 54 by 18 to find the weight of 1 plum then multiply this by 27.
54 ounces ÷ 18 = 3 ounces , then
27 plums = 27 × 3 = 81 ounces
Solve for y. -6y-31= 5 and thank you
[tex]-6y -31 =5\\\\\implies -6y = 5+31 = 36\\\\\implies y = -\dfrac{36}6 = -6[/tex]
Step-by-step explanation:
...........y=-6.........
50 squared is rational
True
False
Answer:
false
Step-by-step explanation:
Answer:
A rational number can be written as a fraction. Try finding the square root of 50 and see if you can rewrite it in fraction form.
Step-by-step explanation:
Which congruence criteria is met in the following scenario?
AAS
ASA
SAS
None, because the sides of one triangle are NOT congruent to the sides of the other triangle.
SSS