Solve the equation and check the solution.
1 1
O a=1
1
O a = 3
2
O a=4
o
1
a = = 4
2
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Equation: }\mathsf{a - 2\dfrac{1}{2} = 1\dfrac{1}{2}}[/tex]
[tex]\large\text{You have to SIMPLIFY the BOTH SIDES of the given EQUATION}[/tex]
[tex]\mathsf{-2\dfrac{1}{2}=\bf -\dfrac{5}{2}}[/tex]
[tex]\mathsf{1\dfrac{1}{2}=\bf \dfrac{3}{2}}[/tex]
[tex]\large\text{New equation: }\mathsf{a + \dfrac{-5}{2}= \dfrac{3}{2}}[/tex]
[tex]\large\text{ADD by }\mathsf{\dfrac{5}{2}}\large\text{ to BOTH SIDES}[/tex]
[tex]\mathsf{a + \dfrac{-5}{2}+\dfrac{5}{2}= \dfrac{3}{2}+ \dfrac{5}{2}}[/tex]
[tex]\large\text{Cancel out: }\mathsf{-\dfrac{5}{2}+ \dfrac{5}{2}}\large\text{ because it gives you 1}[/tex]
[tex]\large\text{Keep: }\mathsf{\dfrac{3}{2}+\dfrac{5}{2}}\large\text{ because it helps solve for \bf a}[/tex]
[tex]\large\text{New equation: }\mathsf{a = \dfrac{3}{2}+\dfrac{5}{2}}[/tex]
[tex]\mathsf{\dfrac{3+5}{2\ \& \ 2}}[/tex]
[tex]\mathsf{3 + 5 = 8}[/tex]
[tex]\mathsf{2\ \& \ 2=2}[/tex]
[tex]\large\text{Equation: }\mathsf{a = \dfrac{8}{2}}[/tex]
[tex]\large\text{Simplify above and you have the \bf a value}\uparrow[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf a = 4}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Related Questions
What is seven decreased by the square root of twenty five
Answers
Answer:
2
Step-by-step explanation:
first step: simplify the problem to get 5
Second step: 7-5=2
Explanation: The square root of 25 is 5 because 5 times 5 is 25. If you take 7 and decrease (subtract) it by 7 you will end up with 2
look below giving brainliest
Answers
Answer:
15
Step-by-step explanation:
3*5*1=15
HELPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Stan's family member and are choosing member to see in what order they choose gifts. They roll a six-sided number cube with sides labeled 1 through 6 all sides are equally likely to be ruled.
What is the probability of rolling a number less than 3?
A.6/3
B. 2/6
C. 3/6
D. 6/2
Answers
The cube has 6 sides numbered 1 through 6. There are only two numbers less than 3 (1,2) so the probability of rolling a number less than three is 2 (#s less than 3) out of the total amount of numbers which is 6. Therefore your answer is B. 2/6. Hope this helped not too good at explaining.
I need help , I really don’t understand it .
Answers
Answer:
slope intercept form is the form of y=mx+b, where the slope is m and the y intercept is b.
what you have to do is to solve the equations for y.
1) 2x+2y = 10
2y = 10 -2x
y = -x +5
2) 12+4y = -4x
4y = -4x-12
y = -x -3
lines are parallel when they have same slope and different y-intercepts. m1=m2 and b1 ≠ b2
lines are perpendicular when the multiplication of their slope gives -1
m1 x m2 = -1
here the slopes are same and y-intercepts are different so lines are parallel.
Show work please for brainly?
Answers
Answer:
5 days
Step-by-step explanation:
60 ÷ 12 = x
x represents the amount of days
the elephant get 12 lbs. per day
60 is the total amount of lbs.
Answer: 5 days
Step-by-step explanation:
Okay, so we use the equation 12x=60. She gives the elephant 12 peanuts a day but we don't know how many days so we put x.
Now to solve this, we must divided 12 on both sides and get 5.
12x=60
÷12 ÷12
x=5
What are the next three terms in the sequence? -112, -129, -146, ___________
Explain your answer.
Answers
Answer:
-163, -180, -197
Step-by-step explanation:
-146--129=-17
the difference of them is 17 so keep adding it
The recursive formula of this sequence is:
a n =-17n-95
out of 35 students In a class 21 opted for basketball the remaining opted for volleyball what is the probability of choosing a student to opted for volleyball
Answers
Answer:
15 student
Step-by-step explanation:
35 - 21
15
Pls mark as branlist
WILL GIVE BRAINLIEST
Answers
Answer:
5-2x=4-2x+4+x=8-x
x=5-8=-3
Answer:
The answer is B. One solution.
Find the value of x.
Answers
Answer:
X = 66°Step-by-step explanation:
ΔH + ΔJ + ΔK + ΔG = 360°
103° + 133° + 58° + X = 360°
294° + X = 360°
X = 360° - 294°
X = 66°
how many solutions does the system have ?
( y=3x + 2
( y=3x + 6
Answers
Answer:
52 when we evaluate it understand
Write
using eighths.
1/2 +1/4 using eights
Answers
what does this mean
Answers
Answer:
it means to add all of the numbers then divide by how many there are
so, 3+3+5+5+5+7+7+8+15+15=73
73/10=7.3
hope this helped!!
Which points justify shading inside the conic inequality 8x² – 12x + 4y² + 4y – 20 ≤ 0? Check all that apply.
(–1, –2)
(–1, –1)
(0, 0)
(0, 2)
(1, –2)
Answers
Answer:
B. (–1, –1)
C. (0, 2)
E. (1, –2)
Step-by-step explanation:
plugged in the answers into (x) and (y)
The points (0, 0), (-1, -1), and (1,-2) inside the conic inequality option (B), (C), and (E) are correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
Conic inequality:
8x² – 12x + 4y² + 4y – 20 ≤ 0
After plotting the above inequality on a coordinate plane we will get an ellipse:
From the graph:
The points:
(0, 0), (-1, -1), and (1,-2) inside the conic inequality.
Thus, the points (0, 0), (-1, -1), and (1,-2) inside the conic inequality option (B), (C), and (E) are correct.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ5
The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of
airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be
used to determine her monthly cell phone bill (C)?
C = 15 + 0.20%
C =15 (0.20%)
C# 15 + X+ 0.20
C = 0.20 + 15x
Answers
I thought it would be C = 15 + x(0.20)
Hope this helps
Below is the number of minutes Leo played during each of his six basketball games,
17.50, 23.00, 24.00,
9.00, 12.25, 14.75
Using the data, create a histogram.
Answers
Answer:is 24.00,23.00,17.50,14.75,12.25,9.00 is the numbers in order that is a hint
Step-by-step explanation:
Answer:
This is the correct histogram below =D
Step-by-step explanation:
HEEEEEEEEEELP! ASAP Find the missing value.
Hint: Use the number line to find the missing value.
4 =-2 +
Answers
Answer:
6 the answer is 6
Step-by-step explanation:
-3 -2 -1 0 1 2 3 4 5 6
[tex] \bf \: Appropriate \; question :-[/tex]
[tex] : \implies 4 = - 2 + \boxed{ {?} }[/tex]
[tex] \bf \huge \: Solution :-[/tex]
[tex] \rm \: Let \: us \: assume \: that \: the\: value\: of \: \boxed{} \: be\: \bf \: x.[/tex]
New Equation will be :
[tex] : \implies \sf \: 4 = - 2 + \bf x[/tex]
[tex] \rm \: This \: equation \: may \: be \: rewritten \: as :- [/tex]
[tex]: \implies \sf \: 4 = x - 2[/tex]
[tex]\underline{ \rm \: Flip \: this \: equation :-}[/tex]
[tex]: \implies \sf \: x - 2 = 4[/tex]
[tex]\underline{ \rm \: Add \: 2 \: t o \: both \: sides:-}[/tex]
[tex]: \implies \sf \: x - 2 + 2 = 4 + 2[/tex]
On Simplification of this equation,
[tex]: \implies \sf \: x - 0 = 6[/tex]
[tex]: \implies \sf \: x = 6[/tex]
[tex] \underline{ \rm Put \: 6 \: instead \: of \: x \: on \: this \: e quation :-}[/tex]
[tex]: \implies \tt \: 4 = - 2 + \boxed{}[/tex]
[tex]\boxed{\boxed{\bf4 = - 2 + \boxed{\bf 6}}}[/tex]
Hence, the missing value is 6.
_____________________________________
Please let me know if you have any questions.
Given one zero of the polynomial function, find the other zeros.
8. f(x) = 9x3 + 10x2 - 17x -2; -2
9. f(x) = 2x3 + 3x2 - 39x - 20; 4
Answers
Answer:
8. [tex]-\frac{1}{9}[/tex] and 1
9. [tex]-\frac{1}{2}[/tex] and -5
Step-by-step explanation:
Hope this helps ;)
please help me with #1 asap!!! ill give brainliest
Answers
Answer:
A 2 seconds
Step-by-step explanation:
Answer:
4 seconds
Step-by-step explanation:
Since the object is falling 16ft per second, it would take 4 seconds for it to fall 64 ft. Because 64 divided by 4 is 16
Can someone pls help me on this
Answers
CF is 7
Step-by-step explanation:
GE is 10 and they have to be equal so 10-3 is 7
Will the value of y ever equal 0 y=3^x
Answers
Find the value of x in the solution to the system of equations shown.
y = 12x +7
y = -6x +25
Answers
Answer: 1. x= y/12 - 7/12
2. x=y/6 + 25/6
Step-by-step explanation:
Y=12x+7
2y=-12x+50
3y=57
Y=19
19=12x+7
12=12x
X=1
Find the annual interest rate. $I=\$160$ , $P=\$2000$ , $t=8$ months The annual interest rate is %.
Answers
Answer:
[tex]1\%[/tex]
Step-by-step explanation:
Simple interest (I) = $160
Principal amount (P) = $2000
Time period (t) = 8 months
Let R denotes rate of interest.
Relation between simple interest, principal amount, time and rate of interest is given by [tex]I=\frac{PRT}{100}[/tex]
[tex]160=\frac{2000(R)(8)}{100} \\\\160=160R\\R=1\%[/tex]
Answer:
12
Step-by-step explanation:
It would be: r = I * 100 / P * R
r = 160.67 * 100 / 2000 * 2/3
r = 16067*3 / 4000
r = 48201 / 4000
r = 12
What is the area of the trapezoid?
Answers
Answer:
64ft²
Step-by-step explanation:
trapezoid area formula is b1+b2 over 2 times the height so
(6+10)÷2×8
16÷2×8
8×8
64
Find the value of x please and thank you
Answers
Given:
In triangle DEF, HG is parallel to DF.
To find:
The value of x.
Solution:
In triangles DEF and GEH,
[tex]\angle DE F\cong \angle GEH[/tex] (Common angle)
[tex]\angle EDF\cong \angle EGH[/tex] (Corresponding angle)
[tex]\Delta DE F\sim \Delta GEH[/tex] (By AA property of similarity)
We know that corresponding sides of similar triangle are proportional.
[tex]\dfrac{DE}{GE}=\dfrac{DF}{GH}[/tex]
[tex]\dfrac{9+(x+5)}{x+5}=\dfrac{12}{6}[/tex]
[tex]\dfrac{x+14}{x+5}=2[/tex]
[tex]x+14=2(x+5)[/tex]
[tex]x+14=2x+10[/tex]
Isolating variable terms, we get
[tex]x-2x=-14+10[/tex]
[tex]-x=-4[/tex]
[tex]x=4[/tex]
Therefore, the value of x is equal to 4.
what is 5 × 5https://vm.tiktok.com/ZMeM6sFQL/
Answers
Answer:
Step-by-step explanation:
5x5 = 10
Answer:
35
Step-by-step explanation:
please help me !!! i'll give brainliest
Answers
Answer:
a. root (x^2 + 64)
Step-by-step explanation:
(8^2 + x^2) = y^2
If you root both sides,
y = root (x^2 + 64)
How is multiplying negative rational numbers like multiplying negative integers?
Answers
Answer:
The numerator (a*c) is the product of two integers ( a and c) and the denominator (b*d) is also ( b and d). This is why multiplying rational numbers is like multiplying integers.
Step-by-step explanation:
will mark brainliest and rate 5/5
Answers
Answer:
I dont know if this question was needed to be solved
The graphs below have the same shape what is the equation of blue graph NEED HELP !!
Answers
Answer:
A
Step-by-step explanation:
Given the graph of f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
g(x) is the graph of f(x) shifted 1 unit to the left , then
g(x) = (x + 1)² → A
Joe is 6 feet tall and cast a 3 foot shadow. He is standing next to a building that cast a shadow that is 20 feet long. How tall is the building.
Answers
Answer:
40 feet
Step-by-step explanation:
Answer:
40 feet tall
Step-by-step explanation:
6/2 =3
?/2 =20
*2 *2
? = 40
you do inverse operations because 6 divided by 2 is 3... the ? is the variable for how tall the building is... ? divided by 2 = 20 so you multiply 2 and 20 to get the total height