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]
Divide 144g in the ratio 7: 11
Answer:
88:56 = 11:7
Step-by-step explanation:
Step One
Add the two ratios together 11 + 7 = 18
Now set up a ratio to solve for 11 parts out of 18
11:18 = x:144 Proportion
11 / 18 = x / 144 Equation: Cross mulitiply
11*144 = 18x Combine the left side
1584 = 18x Divide by 18
1584 / 18 = x
88 = x
That is the larger amount (11 is larger than 7)
Find the smaller amount
144 - 88 = 56
The two amounts are in the ratio of 11:7
88:56 = 11:7
I hopes this helps a little bit
Answer:
56g and 88g
Step-by-step explanation:
7x+11x=144
18x=144
x=144/18
x=8
7x=7*8=56g
11x=11*8=88g
4 points
The midpoint of AB is (-1,5)
and the coordinates of point A are
(-3,2). What are the coordinates
of point B?
Answer:
someone go answer my question plssssssssssssssssssssssssss
Step-by-step explanation:
[tex](5 - x)(x - 3)[/tex]
Answer:
15x
Step-by-step explanation:
because i multiply i side by side and copy the variable
Answer:
- x² + 8x - 15
Step-by-step explanation:
Given
(5 - x)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
5(x - 3) - x(x - 3) ← distribute parenthesis
= 5x - 15 - x² + 3x ← collect like terms
= - x² + 8x - 15 ← in standard form
I have to find the area of this rectangular prism pls help!!
Answer:
the surface area is 208
Step-by-step explanation:
formula for surface area is A = 2 (w*l + h*l + h*w )
A = 2 ( 4*8 + 6*8 + 6*4 )
A = 2 ( 32 + 48 + 24 )
A = 2 ( 104 )
A = 208
Find x if:
16x2 = -1
(b) A farmer uses of his land to plant
cassava, of the remaining land to plant
maize and the rest vegetables. If
vegetables cover an area of 10 arces, what
is the total area of the farmer's land.
Answer:
Cassava = ⅓ or 33.333%
Maize = ⅔x⅔ = 44.444%
total so far =77.777%
Remaining vegetable area =(100–77.777%) = 22.222%
If remaining area vegetables = 22.222% = 10 acres
Maize = ⅔x⅔ = 44.444% or 20 acres
Cassava = ⅓ or 33.333% or 15 acres
Total land area = 45 acres.
Step-by-step explanation:
plzz help with this math due today
Answer:
20x⁴ - 13x³+ 8x² - x + 6
Step-by-step explanation:
Multiplyin gbthebtop trinomial by the last term. Of the bottom trinomial.
___4x² - 5x + 3
___5x² + 3x + 2
* ____________
_________8x² - 10x + 6
______12x³-15x²+9x
_20x⁴-25x³+15x²
____________________
20x⁴ - 13x³+ 8x² - x + 6
___________________
hi hi hi hi it’s b right?
Answer:B
Step-by-step explanation: yes b as the x is always 50x greater than the Y
Answer: yes it’s B. My dear!
Step-by-step explanation: hope this helps :)
please help im struggling and it’s due in 30 minutes
At a hospital, 56 percent of the babies born are not girls. Of the baby girls born, 12 percent are premature. What is the probability of a premature baby girl being born at this hospital? Round to the nearest percent.
5%
7%
21%
27%
Answer:
It's the first option 5%
Step-by-step explanation:
The probability of a premature baby girl being born at this hospital is,
⇒ 5%
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Now, If the likelihood of boys being born is 56%,
Then, the complement of that is the likelihood of girls being born which is,
⇒ 100% - 56% = 44%.
Since, we are given that of the baby girls born, 12% are premature, the probability of a premature baby girl being born is:
⇒ (0.44)(0.12)
= 0.0528
⇒ 5.28%
Thus, The probability of a premature baby girl being born at this hospital is,
⇒ 5%
Learn more about the probability visit:
https://brainly.com/question/13604758
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what about these 2 ?
Answer:
11. A) 12
12. D)11
Step-by-step explanation:
11. We substitute x with 12 in 3(x)-11.
3(12)-11=
36-11= 25
We substitute x with 12 for the second equation (x+13).
12+13=25
Both answers match so the answer for #11 is 12.
12.We substitute x with 11 in 4(x)-4.
4(11)-4=
44-4=40
We substitute x with 11 for the second equation (2(x)+18)
2(11)+18=
22+18=40
Both answers match so the answer for #12 is 11.
aschool charges $6 per ticket to a dance they spend $300 on music and decerations the expretion 6n-300 describes the amount of profit the school makes from the dance if n students buy tickets what does 6n represent in this context
Answer:
$6n will represent the total revenue made from selling n tickets at $6 per ticket
Step-by-step explanation:
Here, we want to get what 6n means in the given context
Mathematically when calculating profit, we have to subtract the cost from the revenue
The revenue refers to the money made ;
From the question, $6 tickets were sold to a total of n people
The money made from these sales will be the product of the cost of each ticket by the number of people who bought the ticket
That will be $6 * n = $6n
An African Elephant can eat 4,620 pounds of
food a week! If the elephant ate the same
amount of food each day that week, how many
pounds of food would he have eaten in a day?
Answer:
Step-by-step explanation:
660
Answer:
660 pounds
Step-by-step explanation:
Paul opens a savings account with $350. He saves $150 per month. After how many months will Paul have $2150 in the account?
Answer:
12 months
Step-by-step explanation:
2150-350=1800
1800÷150=12
1.) What is the equation given a slope of ½ and a y-intercept of 4?
2.) What is the slope of an equation y=2x-5
3.) What is the y-intercept of an equation y=7x+8?
HELP PLEASEE PLEASE PLEASE!! It’s due by 10:20 !!
A cone has a height that is greater than the diameter of the base of the cone.
What is the shape of a cross section of the cone that contains the vertex of the cone and the diameter of the base?
А
right triangle
B.
obtuse triangle
С
scalene triangle
D
isosceles triangle
Answer:
its either b or d
Solve each equation. 15 = t - 25 m6 = 18 5d = 75 94 = g + 32
Answer:
1, t = 40
2, m = 3
3, d = 15
4, g = 62
Step-by-step explanation:
15 = t - 25
+25. +25
40 = t
M6/6 = 18/6
m = 3
5d/5 = 75/5
d = 15
94 = g + 32
-32. -32
62 = g
Suppose a value of 13 is added to the existing values 17,13,15,26,23,29,18,22,15. Find the median of the values.
Answer:
17.5Step-by-step explanation:
Given values:
17, 13, 15, 26, 23, 29, 18, 22, 15 and added 13Put the values in ascending order:
13, 13, 15, 15, 17, 18, 22, 23, 26, 29There are even values, the middle numbers are:
17 and 18Median is the average of the middle two numbers:
(17 + 18)/2 = 17.5que es un plano cartesiano?
Predict what will happen to the lynx population after 1935. Will it go up or down? Explain why you think this.
Please help me. I will adore u
Answer:
It'll go down
because they're very rare
Find the value of x using the exterior angle property in the figure below (label the diagram
Answer:
x = 72°
Step-by-step explanation:
x + 38° + 70° = 180°
x + 108° = 108°
x = 72°
Answer:
x is 32
This is your answer.
Hope it helps!!!
100 POINTS AND BRAINLIEST! Explain your answer PLEASE!
Answer:
27000
Step-by-step explanation:
I = P×R×T
=2000×25/10×5
=25000
AMOUNT= P+I
=2000+25000
=27000
Compound interest:-
P(1+r)^t2000(1+0.025)⁵2000(1.025)⁵2000(1.314)2628$Total:-
2000+2628=4628$What is the answer to
-k - (-8k)
Answer:
if we simplify then the answer is 7k
Step-by-step explanation:
can someone please answer my question from my profile.
Answer:
7k
Step-by-step explanation:
Find the slope of the line that passes through A(0,−5) and B(3,−4) .
Answer: 1/3
Step-by-step explanation: slope is the difference between the y values over the difference of the x values
The slope of the line that passes through A(0,−5) and B(3,−4) will be 1/3.
What is slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
The slope could be positive or negative.
The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by
Slope = (y₂ - y₁)/(x₂ - x₁)
Slope m = (-4 + 5)/(3 - 0)
m = 1/3
Hence "The slope of the line that passes through A(0,−5) and B(3,−4) will be 1/3".
To learn more about slopes,
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What is the sum of the measures of the interior angles of any triangle?
100°
180°
270°
360°
Answer:
180°
Step-by-step explanation:
E D G E N U I T Y
Hope this helped! :)
Stay safe and have a wonderful day/night!!!!!
Please give Brainliest to the person who answered before me.
Arianas goal is to reach $600 the first week she raises 30% of $600 .The second week she raises 50% of the $600 How much money does Ariana raise in the first two weeks?0
Answer: The amount raised by Ariana in the first two weeks =$480
Step-by-step explanation:
Given: The first week she raises 30% of $600 .
The second week she raises 50% of the $600.
Amount raised in the first week = 50% of $600
= 0.50 x 600
= $ 300
Amount raised in the second week = 30% of $600
=0.30 x 600
= $180
The amount raised by Ariana in the first two weeks = $300+$180
= $480
Hence, The amount raised by Ariana in the first two weeks =$480
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
The table below shows all of the possible outcomes for rolling two six-sided number cubes. 1 2 First Number Cube Second Number Cube 1 2 3 4 5 6 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6 4 5 What is the probability of rolling an even number first and an odd number second?
Answer choices:
A. 1/9,
B. 1/6
C. 1/4
D.1/2
Answer:
(1/6)
Step-by-step explanation:
ℎ 1/6
A unicycle wheel has a diameter of 12 inches. How many inches will the unicycle
travel in 5 revolutions?
Use n = 3.14 and round your answer to the nearest hundredth of an inch.
Answer:The unicycle would travel 226.29 inches in 6 revolutions.
Step-by-step explanation: