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
[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]
f(n)=45⋅(4/5)^n−1
complete the recursive formula of f(n)
F(1) = 45
f(n) = f(n-1) * 4/5
Step-by-step explanation:
f(n) = 45 x (4/5)ⁿ⁻¹
f(1) = 45 x (4/5)¹⁻¹ = 45 x (4/5)⁰ = 45 x 1 = 45
f (n-1) = 45 x (4/5)ⁿ⁻¹⁻¹ = 45 x (4/5)ⁿ⁻²
f(n) = f(n-1) * (4/5)¹ = 45 x (4/5) ⁿ⁻²⁺¹ = 45 x (4/5)ⁿ⁻¹
Answer:
45
4/5
Step-by-step explanation:
khan academy
for what value of x is JKLM a parallelogram?
help i’ll give brainliest
Answer:
Step-by-step explanation:
21
I NEED HELP PLEASE WILL MARK BRAINLIEST
9514 1404 393
Answer:
$109.97
Step-by-step explanation:
Each straight piece of wire is the diagonal of a square that is 3" on a side. The Pythagorean theorem tells you the length of that diagonal is ...
d = √(3^2 +3^2) = √18 = 3√2 . . . inches
There are 4 such diagonals on each trivet, so the total length of wire for 12 trivets is ...
(12)(4)(3√2) = 144√2 . . . inches
At a cost of $0.54 per inch, the total cost for 12 trivets will be ...
($0.54)(144√2) = $109.97
The cost of the copper wire for making 12 trivets is $109.97.
19+7 divided by 2 - 5 with brackets to equal 8?
Answer:
8
Step-by-step explanation:
Given that
19 + 7 divided by 2 - 5
So if we solve this we have to apply proper brackets
= (19 + 7) ÷ 2 - 5
= 26 ÷ 2 - 5
= 13 - 5
= 8
After solving this the answer is 8
I have a math test in an hour and a half. It’s about algebraic word problems. Can someone help me. I’m really struggling in maths and might fail
Answer:
yes I can try to help you what I can
Tres croissants y dos ensaimadas nos ha costado 6,10Є si recordamos que el precio ce una ensaimada es 0,30Є más caro que el de un croissant. ¿cual es el precio de una ensaimada y cual es de un croissant?
Answer:
Step-by-step explanation:
3c + 2e = 6.10
e = c + 0.30
3c + 2(c + 0.30) = 6.10
5c + 0.60 = 6.10
5c = 5.50
c = 1.10 Є
e = c + 0.30 = 1.40 Є
which inequality represents all values for x for which the quotient below is defined? square root of 8x squared divided by the square root of 2x
Pls help will mark brainliest
Answer:
750
Step-by-step explanation:
Can someone tell me
How to solve this and a explanation?
Answer:
C
Step-by-step explanation:
Okay so on Saturday there is a 30% sale plus she comes early so +10% and that makes 40% off.
10% of 400=40
multiply by 4 to get 40%, 40*4=40%
40%=160
400-160=240
Hope this helps
400 x 0.30 = 120
400 - 120 = 280
280 x 0.10 = 28
280 - 28 = 252
So 252 is you answer.
4. What expression represents the width of the room?
Answer:
35-4
Step-by-step explanation:
Answer:
Let x = represents the width
m.
Step-by-step explanation:
hope that helps -w-
PROOFS !! help me fill in the blanks
Answer:
this making ur email.... I think we shouldn’t be doing this. People can get into ur account .
‘Anyways, all u need to do is put ur real first name, last name, make a password THAT NO ONE SHOULD KNOW, confirm it again, and make ur email. DONT SHARE INFO WITH OTHERS
what is 2838 divisible by?
Answer:
have calculated all the numbers that 2838 is evenly divisible by. The numbers that 2838 is divisible by are 1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, and 2838. You may also be interested to know that all the numbers that 2838 is divisible by are also known as the factors of 2838.
If each of the numbers in the following data set were multiplied by 26, what
would be the new median of the data set?
14, 20, 18, 58, 71, 36
O A. 728
OB. 520
O C. 936
O D. 676
Answer:
Step-by-step explanation:
728 answer is C
i’ll give brainliest, just help me please : )
a new smart phone application is available for download the number y of downloads can be modeled by the function y-6.3x^2+3000
Answer:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
−
3000
)
Focus:
(
0
,
−
2999.9
¯¯¯¯¯¯¯¯¯¯¯¯
603174
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
3000.0
¯¯¯¯¯¯¯¯¯¯¯¯
396825
x
y
−
2
−
2974.8
−
1
−
2993.7
0
−
3000
1
−
2993.7
2
−
2974.8
Step-by-step explanation:
Pleas help me solve the following inequality and graph the solution set on the number line
2(x-3)-5x≤9
Answer:
x≥ -5
Step-by-step explanation:
What is mArc SU?
49°
77°
98°
161°
Answer:
77°
Step-by-step explanation:
By the property of intersecting tangent and secant outside of a circle:
[tex]21 \degree = \frac{1}{2} ( 119 \degree - \widehat{SU} ) \\ \\ 42 \degree = 119 \degree - \widehat{SU} \\ \\ \widehat{SU} =119 \degree - 42 \degree \\ \\ \widehat{SU} =77\degree \\ \\ [/tex]
The mArc SU is option (B) 77 degrees
What is Tangent?A straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.
What is secant ?A secant is a line that intersects a circle in exactly two points.
Here,
By the property of intersecting tangent and secant outside of a circle:
[tex]T=\frac{1}{2}(RU-SU)[/tex]
Here
T= 21 degrees
RU is the mArc RU = 119 degrees
Then,
[tex]21 =\frac{1}{2}(119-SU)\\ 42=119-SU\\SU=119-42[/tex]
SU = 77 degrees
Hence, the mArc SU is option (B) 77 degrees
Learn more about Tangent and secant here
https://brainly.com/question/15178974
#SPJ2
What is the length in centimeters of the hypotenuse of the right triangle below?
2 cm
8 cm
Answer:
Step-by-step explanation:
WASSUP
Is Figure B a scale copy of Figure A?
2.8
2.8
4
Figure A
10
10
16
Figure B
Choose 1 answer:
Answer:
no
Step-by-step explanation:
Find the simple Interest
I=?
P=$1300
R= 5%
T=6 years
$390
$1690
O $39000
i need help...
Answer:
$390 is the correct answer
Answer:
390
Step-by-step explanation:
(1300)(.05)(6) = 390
Explain the steps you could use to solve 3y + 6 = 30 to find y
Answer:
3y+6-6=30-6 (subtract 6 from both sides)
3y=24 (simplfy by subtracting those numbers)
3y/3 = 24/3 (divide both sides of the equation)
y=8 (simplfy by divding with those numbers)
Step-by-step explanation:
Hope this helps :)
Answer:
3y+6-6=30-6
Step-by-step explanation:
What is Your Budget?
Task 2
Directions:
You are offered a job with a starting annual salary of $50,000 and two options for
determining your annual raise:
Option 1: An annual raise of $3,000 per year.
Option 2: A 5% raise each year.
Suppose a motorcycle costs $8,000 and loses 4% of its value each year. What will be the value of the motorcycle after 7 years?
Answer:the answer is 6,012 after 7 years
Step-by-step explanation:
i just took the quiz
9. A 16-ft ladder is leaning against the side of a house. The ladder touches the ground 9 ft away from the house. What angle does the ladder make with the ground?
Round to the nearest WHOLE number.
Note: this is a trigonometry question
Answer:
Check pdf
Step-by-step explanation:
55.77°
EXPLANATION:In ◣ ABC, (consider the diagram)
cosΦ = b/h = 9/16
cosΦ = 9/16
Φ = 9/16 × cos-¹
Φ = 55.77
Hence, the angle between the ladder and ground is approximately 56°.
Monica deposits $100 into a savings account that pays a simple interest rate of 3.8%. Paul
deposits $200 into a savings account that pays a simple interest rate of 2.5%. Monica says that
she will earn more interest in 1 year because her interest rate is higher. Is she correct? Justify your
response
Answer:
Paul
Step-by-step explanation:
Paul earn more than monica. Though he is getting less interest but because of his higher initial amount he is getting more return.
Computing the return of both
Monica return is 100*3.4%= $3.4 in a year
Paul return is 200*%2.2= $4.4 in a year.
Answer:
3.3
multiply all the number in pairs then you have to add both number 3.3
If 8 students want to share 62 gallons of water for a water balloon fight,
how many gallons of water should each student get?
Answer:
Each student should get 7:75 gallons of water
Step-by-step explanation:
Do 62 divided by 8
!Please Help !
Find the volume of this cylinder
Answer:
volume of cylinder= pie × radius square× height
= 22/7×4×20
=1760/7
=251.42cm
Answer:
using 3 for pi it's V = 960cm^3
Step-by-step explanation:
R is the radius, which as stated, is half the diameter.
r = 8cm / 2 = 4cm
H is the height, which is shown to be 20cm
h = 20cm
V = pi*r^2*h
V = pi*(4cm)^2*20cm
substituting 3 for pi as requested.
V = 3*(4cm)^2*20cm - 3 * (16cm^2) * 20cm = 48cm^2 * 20cm = 960cm^3
determine the missing angle
Answer:
180-77
Step-by-step explanation:
adjacent angles are supp
Answer:
103° | See Attached Image
Step-by-step explanation:
The angle opposite of 77° is vertical (it makes an X, therefore the angles are equal.)
The corresponding angle to the vertical of 77° is also equal to 77°.
X is supplementary to the previously mentioned angle, so it adds up to 180°.
180 - 77 = 103°
Max puts a stopper in the bathtub and turns on the faucet at t = 0.
After 5 minutes, there are 11 gallons of water in the tub and after 10 minutes, there are 22 gallons in the tub.
Write an equation that relates the number of gallons, g, to the time, t.
Does the relationship represent a linear function 2 Justify your response
Answer:
D
Step-by-step explanation:
Answer:
22 and 500 and 23
Step-by-step explanation: