Use the distributive property to remove the parentheses. Simplify your answer as much as possible.
Answers
The given expression is 8(1/2y+3/4)
To make it easier put 8/1, so we can multiply fractions without getting confused.
First step is 8/1•1/2, for the numerator or top, we have 8•1=8. The denominator or bottom, we have 1•2=2. Now we put them back together like a puzzle. The numerator is 8, and the denominator is 2. So we put eight over two 8/2. Eight divided by two equals four. 8/2=4
So far we've solved for the first half. Don't forget the variable at the end of the first section!
We have 4y+(3/4) now.
But we don't stop there. The eight on the outside of the parenthesis also apply to 3/4.
Same thing we put 8/1 and multiply top and bottom against 3/4.
8•3=24, for the numerator or top value.
1•4=4 for the denominator or bottom value. We combine them back into a fraction, so we have 24/4. Now we don't stop there. We need to simplify the fraction so twenty four divided by four equals six, or 24/4=6.
We plug it back into the original equation with both our new answers, leaving us with 4y+6
The completely simplified answer is 4y+6
Related Questions
HELP ASAP!! ILL MARK YOU BRAINLIEST IF CORRECT :)
Answers
Answer:
compounded quaterly
Step-by-step explanation:
hope this helps
plzz mark me brainliest
Answer:
Let's say:
AM = current amount of money = 3000
APR = interest rate = 2.25
n = number of compounding periods
t = 5 years
Final amount of money:
FAM = AM x [1 + 2.25/n]^(n x 5) = 3000 x [1 + 2.25/n]^(n x 5)
Annual Compounding: FAM = 3000 x (1 + (2.25% / 1))^(1 x 5) = 3353.03
Quarterly Compounding: FAM = 3000 x (1 + (2.25% / 4))^(4 x 5) = 3356.16
Monthly Compounding: FAM = 3000 x (1 + (2.25% / 12))^(12 x 5) = 3356.86
Continuous Compounding: FAM = 3000 x 2.7183^(2.25% x 5) = 3357.22
=>Continuous Compounding gives largest benefit.
=> Option C is correct
Hope this helps!
:)
A path through the middle of a circular garden is 14 feet long. [a] What is the distance around the outside of this garden? [b] What is the area of the garden? Use 3.14 for π.
Answers
Answer:
a. 43.96 feet
b.153.86 square feet
Step-by-step explanation:
Hi, the path through the middle of the circular garden is the diameter.
Since the diameter is equal to:
Diameter = 2 radius (r)
Solving for r
14 =2r
14/2 = r
r = 7 feet
The distance around the outside of this garden is the perimeter.
Perimeter of a circle (P) = 2 π r
Replacing with the values given:
P = 2 (3.14) 7 = 43.96 feet
b. area of the circle-
Area of a circle (A)= π r²
Replacing with the values given:
A = 3.14 (7²) =153.86 square feet
Bob's Bakery makes 12 cakes and 36 muffins each hour.
Part A: Create a table to show how many caked and muffins in ll the bakery has made after each hour. Use the rules "add 12" and " add 36"
Part B: Michael says. "The total number of muffins made is ALWAYS 24 more than the total number of cakes made. " Do you agree?
Part C: Michael wants to graph this information. What ordered pair represents the total number of each item make after 6 hours.
Answers
Answer:
c
Step-by-step explanation:
what is the area of the square that shares a side with the third side of the triangle?
Answers
Step-by-step explanation:
Cuz sides of square are same, we just find hypotenusa side of triangle (use Phytagoras Theorem) :
c² = a² + b²
c² = 2² + 4²
c² = 4 + 16
c² = 20
c = √20
Side of square is √20 units.
The area of square :
A = s²
= √20²
= √20 × √20
= 20 units²
So, the area of square is 20 units²
Hope it helpful and useful :)
PART D:
Reflect on your research in Parts A, B and C. Record
at least three questions connected to the research and
analysis you have conducted that you may be
interested in exploring more in the future.
Anybody who will help this is 50 points pls help and don’t just answer for the pints I need you to give me a questions cause idk what to say
Answers
Answer:
Do you have a sheet that I can reflect on so that I can come up with some questions? Thanks.
Step-by-step explanation:
If 5x² + 7x = 6, which statement is correct?
A)
X= 2 or x= 3/5
x = -2 or x= 3/5
x = 2 or x =-3/5
x = -2 or x = -3/5
Answers
Answer:
2nd choice: x = -2 or x= 3/5
Step-by-step explanation:
5x² + 7x = 6
We can solve.
5xx + 7x - 6 = 0
try the diamond method first
-30 = 5*-6.... -3*10 = -30 and -3x + 10x = 7x
So...
5xx - 3x + 10x - 6 = 0
x(5x - 3) + 2(5x - 3) = 0
(x +2)(5x - 3) = 0
roots x = -2 and x = +3/5
Answer:
The correct answer is x=-2 or x=3/5. I found this answer by using an app called Photomath, you should download it. it really helped me :)
Solve the inequality
16 (1/4x -1/2)>24 - 2х
А. x> 6
в. x> -6
с. x> 16/3
d. х> -10/3
Answers
Answer:
Step-by-step explanation:
hello :
here is an solution :
A snail travels 1÷5♡
of an inch in an hour.
How long will it take to travel 5 inches?
[tex] \frac{1}{?5} [/tex]
Answers
Pls help!
What is the surface area of the pyramid_____ units2
Answers
Answer:95units2
Step-by-step explanation:
1/2x7x5+5x5=95
Find the area of the shape shown below.
4 10 20
Answers
Answer:you cant find the area with the numbers the problem wouldn't do that but the perimater is (34)
Step-by-step explanation:
Answer:
240 units2
Step-by-step explanation:
10*20=200 + 10*4= 40
=240
If 65% of a shape is shaded, what percent is NOT shaded?
Answers
100-65= 35
Answer:
35%
Step-by-step explanation:
65%= .65
100-.65=.35
.35=35%!
If f(x) = 3x + 7, find:
f(3) = [ ? ]
Answers
Answer:
f(3) =16
Step-by-step explanation:
f(x) = 3x + 7
Let x= 3
f(3) = 3*3 +7
= 9+7
= 16
Answer: 16
Step-by-step explanation: f(x) = 3x + 7 means that if we put an x into our function, a 3x + 7 comes out.
So if we want to find f(3), we're putting a 3 into our function which means that a 3(3) + 7 comes out which simplifies to 9 + 7 or 16.
So f(3) = 16 or the value of the function at 3 equals 16.
- The Blast Off Music Company makes CDs and DVDs. The company can make a total of 500 CDs and DVDS
each day. It costs $8 to make each CD and $10 to make each DVD. The company can spend $4800 for
production costs each day. How many individual CDs and DVDs can The Blast Off Music Company make in
one day?
Answers
Let C represent number of CDs and D represent number of DVDs.
We have been that The Blast Off Music Company can make a total of 500 CDs and DVDs each day. We can represent this information in an equation as:
[tex]C+D=500...(1)[/tex]
[tex]C=500-D...(1)[/tex]
We are also told that it costs $8 to make each CD, so cost of C, CDs would be [tex]8C[/tex].
It costs $10 to make each DVD, so cost of D, DVDs would be [tex]10D[/tex].
We have been given that the company can spend $4800 for production costs each day. This means that cost of C CDs and D DVDs will be equal to 4800. We can represent this information in an equation as:
[tex]8C+10D=4800...(2)[/tex]
Upon substituting equation (1) in equation (2), we will get:
[tex]8(500-D)+10D=4800[/tex]
[tex]4000-8D+10D=4800[/tex]
[tex]4000+2D=4800[/tex]
[tex]4000-4000+2D=4800-4000[/tex]
[tex]2D=800[/tex]
[tex]\frac{2D}{2}=\frac{800}{2}[/tex]
[tex]D=400[/tex]
Therefore, the company can make 400 DVDs in one day.
Upon substituting [tex]D=400[/tex] in equation (1), we will get:
[tex]C=500-D \Rightarrow 500-400=100[/tex]
Therefore, the company can make 100 CDs in one day.
Which triangle is a translation of triangle P? On a coordinate plane, triangle P is shifted 5 units to the right and 7 units up to form triangle C. triangle A triangle B triangle C
Answers
Answer:
Triangle C
Step-by-step explanation:
Got it right on edge test
Answer:
c
Step-by-step explanation:
What is the length of BC?
Helppp
Answers
Answer:
8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Actually, when you look at it, it' very simple.
So as you kno triangles always = 180
That makes this way easier when you think about it
Let's add the angels together
90+45= 135
Now we need to find the value of the missing angle
180-135= 45
So 45 is the missing angle
Since m∠C≈m∠B he side length (AB) is also 8
Now we can find the length of the hypotenuse
[tex]\sqrt{a^2 +b^2}[/tex]
a and b are the side lengths so just plug them in
[tex]\sqrt{8^2 + 8^2}[/tex]
Now you solve
Exact Form: 8[tex]\sqrt{2}[/tex]
Decimal Form: 11.31
Look at this inequality.
−0.2x+1.2<1.1
Answers
To solve the inequality -0.2x+1.2<1.1, we subtract 1.2 from both sides and then divide by -0.2, which flips the inequality, resulting in x > 0.5.
To solve the inequality [tex]\frac{1.2}{-0.2x+1.2} < 1.1[/tex], we can follow a step-by-step process. First, we isolate the variable on one side. We'll subtract 1.2 from both sides of the inequality:
-0.2x+1.2-1.2 < 1.1-1.2
-0.2x < -0.1
Then we divide both sides by -0.2, remembering that dividing by a negative number will flip the inequality sign:
[tex]x > \frac{0.1}{0.2}[/tex]
x > 0.5
This means that for the inequality to hold true, x must be greater than 0.5. It's also important to note that by understanding the properties of inequalities and the operations performed on them, we can easily solve these mathematical statements.
What ordered pair is a solution to this system of equations?
x = -1
y = 2x + 5
Group of answer choices
(3, 1)
(-1, 3)
(-1, 8)
(8, -1)
Answers
(-1,3)
you plug -1 into the equation y=2x+5 for x since that is what x is equal to and then solve it so y= -3 then your coordinates would be (1,-3)
Explanation: If x= -1 and y=2x+5 you would need to do 2(-1)+5
2(-1)+5
-2+5
3
y=3
(-1,3)
A culture is started with 50,000 bacteria. The table shows the number of bacteria remaining after an antibiotic is added.
Based on the data, which is closest to the number of bacteria at the end of 10 hours?
A) 6,000
B) 9,000
C) 12,000
D) 15,000
Answers
What is the mean of the data set?
17, 24, 26, 13
Pls I need this fast
Answers
So the right answer is 20.
Look at the attached picture⤴
Hope it will help u...
Answer:
20 is the answer
Step-by-step explanation:
17+24+26+13=80
80 divided by how many numbers are in the data set so, 80 divided by 4 is 20.
Hoped this works!
Sarah has a bag of 100 marbles. 40 are blue, 40 are green, and 20 are purple.
What is the probability of Sarah picking a blue marble on 2 consecutive draws without replacement?
15.8%
40%
20%
3.8%
Answers
The required probability of Sarah picking a blue marble on 2 consecutive draws without replacement is 15.8%. Option A is correct.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total marbles [sample space] = 100
Total favorable outcome = 40 = 40%
Now,
Picking another blues marble,
Total marble becomes 99 and the total favorable outcome becomes 39,
Probability of picking marble in two consecutive drawn,
= 40/100 × 39 / 99
= 0.158
= 15.8%
Thus, the required probability of Sarah picking a blue marble on 2 consecutive draws without replacement is 15.8%. Option A is correct.
Learn more about probability here:
brainly.com/question/14290572
#SPJ5
A bakery sells giant cookies, sheet cakes and 3-tiered cakes. The time required for each step is given in the matrix below
Answers
Answer:
answer is sheet cake aka B on edge
Step-by-step explanation:
Last softball season, Jenny hit 32% of the times she was at bat. If she had 80 hits, how many times was she at bat?
Answers
I think the answer is 26 because you have to take 32% of 80.
-Dhruva;)
Jenny was at bat 250 times.
What is the percentage?The percentage refers to a number that is out of 100. When describing components of a whole in mathematics, percentages are employed similarly to fractions and decimals. When employing percentages, the idea is that there are 100 equal pieces that make up the whole. In addition, the sign "%" is used to indicate that a number is a percentage. In stores, online, in commercials, and in the media, percentages are nearly always present. A crucial talent that may help you save time and money and raise your employability is the ability to comprehend what percentages represent.
Given jenny hit 32% of the time when she was at bat and also she had 80 hits. let's assume she had a total of x hits. so 32% of x will be equal to 80.
From that,
32% x = 80
32*x = 80 * 100
x = 250
Hence, Last season ball jenny was at bat 250 times.
Learn more about percentages here:
https://brainly.com/question/29306119
#SPJ5
what is y+2=3/2(x+6) in standard form
Answers
It may be wrong :(
but i hope it helps
Bella has joined a new gym in town. The cost of membership is $25 per month. The after-hours policy at the gym allows her to work out late at night for an extra fee of $4 per visit. If Bella's first monthly bill totaled $53, which equation can be used to determine how many times Bella worked out after hours?
Answers
Answer:
25+4x=53 is the equation you would need to determine how many times she went after hours.
Step-by-step explanation:
if you also need to know how many times she went after hours. she went 7 times so x=7
please give brainliest if this helps
A meteorologist reports that the temperature today will be colder than −1° Fahrenheit. The inequality is t < −1. The variable t represents the temperature. A number line going from negative 2 to positive 2. Which numbers are solutions of the inequality? Choose all that apply. –2 0 1 –10 –3 –1
Answers
For the inequality t < -1, the numbers that are solutions to this inequality are -2, -3, and -10, as they are all less than -1.\
The inequality in question is t < -1, which indicates that the temperature (t) is colder than -1 degrees Fahrenheit. On a number line from -2 to +2, the numbers that satisfy this inequality would be all the numbers that are less than -1. Therefore, the solutions to the inequality would be the numbers that are to the left of -1 on the number line.
-2
-3
-10
The numbers 0, 1, and -1 do not satisfy the inequality because they are not less than -1.
Please Help! I don't know how to do this!
(3x^2+7x-4)-(6x^2-6x+1)
Answers
Answer:
-3x^2+13x-5
Step-by-step explanation:
you're basically just combining the like terms
3x^2+7x-4-6x^2+6x-1
-3x^2=13x-4-1
-3x^2+13x-5
Answer: -3^2+13x-5
Step-by-step explanation:
Remove parentheses.
3x^2+7x -4 - 6x^2 +6x -1
Collect like terms.
(3x^2-6x^2) + ( 7x + 6x) + ( -4 -1)
Simplify
-3^2+13x-5
Summit Plummet's big drop starts at point A(0, 120) and ends at point B (56, 0). What's the slope from point A to point B?
Answers
Answer:
15/-7
Step-by-step explanation:
slope is y(2) - y(1) / x(2) - x(1)
120-0/0-56
120/-56
simplified
The slope from point A to point B is found by dividing the rise by the run. With a rise of -120 and a run of 56, the slope is approximately -2.14, indicating a downward slope from A to B.
To find the slope from point A to point B, we can use the formula slope = rise/run. In this scenario, point A is at (0, 120) and point B is at (56, 0).
First, determine the rise, which is the change in the y-coordinates (vertical change). The rise is 0 - 120 = -120.
Next, determine the run, which is the change in the x-coordinates (horizontal change). The run is 56 - 0 = 56.
Now, we can calculate the slope: slope = rise/run = -120/56 = -2.14
I need help finding the factor!
please
Answers
Answer:
(x-8) (x-4)
Step-by-step explanation:
x^2 -12x +32
What two numbers multiply to 32 and add to -12
-8*-4 = 32
-8-4 = -12
(x-8) (x-4)
Answer:
(x - 4)
Step-by-step explanation:
x² - 12x + 32
x² - 8x - 4x + 32
x(x - 8) - 4(x - 8)
(x - 8)(x - 4)
Please help me I will mark u as brainlyest answer
Answers
Answer:
D, D, G, G,
Step-by-step explanation:
1st. Decay: This is decay because number being multiplied is less than 1.
2nd. Decay:This is decay because number being multiplied is less than 1.
3rd. Growth: This is growth because the number being multiplied is greater than 1.
4th.Growth:This is growth because the number being multiplied is greater than 1.
Look at attachment for question
Answers
Answer:
Answer choice C
Step-by-step explanation:
Since a rectangle has two dimensions and both side lengths of rectangle B are 4 times smaller, the area is 4*4=16 times smaller. 2592/16=162 square units, or answer choice C. Hope this helps!