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]
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:
!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
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.
In a new movie
theatre, seats will
be installed in the
unshaded area
How many square
feet are available
for seats?
Answer. 655.4
Step-by-step explanation:
what did u get?
Mr lin has 10 baesball his gym make 4 teams
Answer:
Mr. Lin can only have 2 people in his 4 teams but he will have 2 people without a group
Step-by-step explanation:
It would be better if he had 5 teams because everyone will be able to be in a team
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:
25 POINTS // URGENT
SportsTown is having a 30%-off sale on baseball equipment. Andy finds the sale price of a baseball glove that normally costs $49 by evaluating the question
49 - 0.3(49). Juan finds the sale price by multiplying 0.7(49).
Who found the correct sale price?
GIVING BRAINLIEST to best explained answer. If you respond with an irrelevant answer I will report the your answer and it will be removed shortly afterwards.
MIDDLE SCHOOL LEVEL MATH
Answer: Thus both of them got it correct
Step-by-step explanation:
Step 1
Andy finds the sale price of a baseball glove that normally costs $49 by evaluating the question 49 - 0.3(49).
the Price will be 49-14.7=34:3
Step 2
Juan finds the sale price by multiplying 0.7(49).
0.7x 49 =34.3
Peggy is laying 60 ft from the base of a tree. The angle of elevation for her to see
the top of the tree is 50º. Use a trigonometric ratio and calculator to find the
height of the tree to the nearest tenth of a foot.
Answer:
The height of the tree is approximately 71.5 feet
Step-by-step explanation:
The given parameters are;
The angle of elevation to see the top pf the tree = 50°
The distance Peggy is laying from the base of the tree = 50 ft.
In order to answer the question using trigonometric ratio, we assume that the angle the tree makes with the ground is 90° that is the tree is perpendicular to the ground
Therefore, the line of sight to the top of the tree, the height of the tree, and the distance from the base of the tree where Peggy is laying, forms a right triangle
Let, 's', represent the line of sight to the top of the tree, let 'h', represent the height of the tree, and let, 'd', represent the distance from the base of the tree where Peggy is laying
The third angle, θ, of the right triangle opposite 'd' is given by angle sum theorem of a triangle as follows;
θ = 180° - 90° - 50° = 40°
θ = 40°
By sine rule we have;
h/sin(50°) = d/(sin θ)
∴ h/sin(50°) = 60 ft./(sin 40°)
h = sin(50°) × 60 ft./(sin 40°) = 71.5052156 ft.
∴ The height of the tree, h ≈ 71.5 ft. by rounding to the nearest tenth
what is the value of the x- intercept of the following equation? 2x-6y=14
Answer:
x-3y-7=0
Step-by-step explanation:
2x-6y=14
2x-6y-7=0
x-3y-7=0
What is the total surface area??? Please help
Answer:
216
Step-by-step explanation:
8(6) + (10+6+8)(7)
48 + 24x7
48 + 168
216
for what value of x is JKLM a parallelogram?
help i’ll give brainliest
Answer:
Step-by-step explanation:
21
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:
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
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
12) The angle of depression of a wire attached from the top of a pole to a stake in the ground is 52 degrees If the pole is 62 feet in length, what is the length of the wire to nearest tenth of a foot?
Answer:
Step-by-step explanation:
What is the length in centimeters of the hypotenuse of the right triangle below?
2 cm
8 cm
Answer:
Step-by-step explanation:
WASSUP
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
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
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
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
i’ll give brainliest, just help me please : )
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
BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE!
Answer:
I thinks it's the third one
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.
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.
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
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:
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°.