The first step to solve the equation StartFraction x over 4 EndFraction minus three-fourths = 16 is shown below. StartFraction x over 4 EndFraction minus three-fourths + three-fourths = 16 + three-fourths Which property was applied in this step?
Answer:
Addition property of equality
Step-by-step explanation:
The given expression is :
[tex]\dfrac{x}{4}-\dfrac{3}{4}=16[/tex]
We need to find the first step to solve this expression.
For this, we add 3/4 to both sides of the equation i.e.
[tex]\dfrac{x}{4}-\dfrac{3}{4}+\dfrac{3}{4}=16+\dfrac{3}{4}\\\\\dfrac{x}{4}=16+\dfrac{3}{4}[/tex]
So, we have used the addition property of equality.
8(a + 30)=80 a equals how much?
Answer:
a = -20
Step-by-step explanation:
In this question, you would solve for "a".
Solve:
8(a + 30)=80
Use the distributive property.
8a + 240 = 80
Subtract both sides by 240
8a = -160
Divide both sides by 8.
a = -20
Your final answer would be a = -20
Answer:
a=-20
Step-by-step explanation:
Multiply 8 by a and 30 which is 8a and 240
The equation looks like this:
8a+240=80
Subtract 240 on both sides:
8a+240-240=80-240
The equation looks like this now:
8a=-160
Divide by 8 on both sides:
8a/8=-160/8
The answer will be:
a=-20
[tex]\sqrt{(-81)x^{2} }[/tex]
Answer:
We conclude that:
[tex]\sqrt{\left(-81\right)x^2}=9ix[/tex]
Step-by-step explanation:
Given the radical expression
[tex]\sqrt{\left(-81\right)x^2}[/tex]
simplifying the expression
[tex]\sqrt{\left(-81\right)x^2}[/tex]
Remove parentheses: (-a) = -a
[tex]\sqrt{\left(-81\right)x^2}=\sqrt{-81x^2}[/tex]
Apply radical rule: [tex]\sqrt{-a}=\sqrt{-1}\sqrt{a},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=\sqrt{-1}\sqrt{81x^2}[/tex]
Apply imaginary number rule: [tex]\sqrt{-1}=i[/tex]
[tex]=i\sqrt{81x^2}[/tex]
Apply radical rule: [tex]\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0[/tex]
[tex]=\sqrt{81}i\sqrt{x^2}[/tex]
[tex]=9i\sqrt{x^2}[/tex]
Apply radical rule: [tex]\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=9ix[/tex]
Therefore, we conclude that:
[tex]\sqrt{\left(-81\right)x^2}=9ix[/tex]
I need help
The radius of a circle is 3 meters. What is the area of a sector bounded by a 180° arc?
The cost of every college is expected to increase 3.5%
next year.
The cost to attend Faber College is currently $24000.
If the percentage increase stays constant, what will the
cost be in TWO years?
Answer:
25,709.4
Step-by-step explanation:
First you would multiply 3.5 x 24,000, and then divide by 100, to get 840, and then add that to the original amount to get 24,840, and that is the cost for one year. And then you would multiply 24,840 by 3.5 and then divide by 100 to get 869.4. Finally just add that to 24,840 to get 25,709.4, and that is the cost for 2 years. I hope this helps :)
The cost of college in two years is $25709.4.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Cost of Faber college = $24000
Rate of increase = 3.5%
The cost of college after one year.
= 103.5% of 24,000
= 103.5/100 x 24000
= $24,840
The cost of their college after two years.
= 103.5% of 24,000
= 103.5/100 x 24,840
= $25709.4
Thus,
The cost of college in two years is $25709.4.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ5
A water bottle has a capacity of 1.43 L. What is the bottle's capacity in millimeters? (1 L = 1,000 mL)
A 2,860 mL
B 1,430 mL
C 143 mL
D 14.3 mL
Answer:
B
Step-by-step explanation:
The answer would be B because you are multiplying 1.43 L by 1,000. And The answer would be 1,430 ml :))
Hope this helps :)) plz mark brainliest :))
una fotografía se reduce a una escala de 1:3 y enseguida se reduce nuevamente con una escala de 1:4 ¿cuáles la reduccion total que sufre la fotografía original?
Answer:
I don't speak that language
Which is the slope of the line that passes through the points (1 -4) and (3,−1)?
Slope = 5/4
Slope = 2/3
Slope = -3/2
Slope = 4/5
Answer:
slope=-3/2
Step-by-step explanation:
slope between 2 points=change in Y÷change in X, so it means minus
-1--4=-3
3-1=2
so the answer is:
slope=-3/2
Answer:
huh/
Step-by-step explanation:
What is the length of the hypotenuse of right ΔUVW shown?
Question 8 options:
A)
42
B)
41
C)
D)
99
Answer:
B - 41
Step-by-step explanation:
A squared + B squared = C squared
40 squared + 9 squared = X squared
the answer is 41
Step-by-step explanation:
Step-by-step explanation:
A squared + B squared = C squared
40 squared + 9 squared = X squared
Any consecutive sides of a parallelogram are parallel.
A. Always True
B. Sometimes True
C. Never true
ANSWER:Any consecutive sides of a parallelogram are parallel?
A. Always True is your answer.
jon had 500 apples and he gets 111100 more apples. how many apples dose jon haver in all
Answer:
1111600 lol
Step-by-step explanation:
Really Need Help ! ASAP
Answer:
hope the above solution will help you
select all that are equal to 5³x 5⁻⁷
Answer:
The third and fifth are correct
The second one is NOT correct
Tito's Mom is 38, his father is 42, his sister is 15 he is 13 and has twin
brothers aged 6. What is the median age of Tito's family?
Answer:
Step-by-step explanation:
Dad: 42
Mom: 38
Sister: 15
Tito: 13
Twin 1: 6
Twin 2: 6
(15+13)/2 = 28/2= 14 years old
SOMEONE PLEASE HELP ME !
Natalie is 5 years older than Casey. The sum of their ages is 55. How old are Natalie and Casey?
Answer:
25 and 30
Step-by-step explanation:
30-25=5
Which two points on the number line are the same distance from 0?
Answer:
D. E and D
Ive learned this and im 100 percent sure its D
Answer:
its E and D
Step-by-step explanation:
they're both 5 away from 0
π/4 equals how many degrees?
270
90
45
360
Answer:
your answer would be 45 :)
Step-by-step explanation:
Help please. A store has a sale. Customers can buy one item at full price and take 50% off the cost of a second item with a lesser price. Nikia buys one item with a price of $80 and another item with a price of $120. With the sale, what percent discount does Nikia receive on her total purchase?
Answer:
Your answer
70% discount on total price
Mark it as Brainlist. Follow me for more answer.
Step-by-step explanation:
what is the length of AC?
• 10
• 12
• 15
• 20
(2^5 x 3^6) / (2^3 x 3^4)
Answer:
36
Step-by-step explanation:
(2^5 x 3^6) = 23328
(2^3 x 3^4)= 648
(23328/648) = 36
Answer:
36 will be your answer
Step-by-step explanation:
Hope this helped! :)
Simplify: 1 + 2 x (8(3 - 2)) + 7 *
Answer: 16x + 8
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
1 + 2 x (8(3 - 2)) + 7
1 + 2 x (24 - 16) + 7
1 + 2 x (8) + 7
1 + 16 + 7
17 + 7
24
At a restaurant, Julio's bill totals $37.60 (before tip). He leaves a 15% tip. Find the amount Julio left for tip.
Answer:
$5.64 is left for tip.
Step-by-step explanation:
Given that,
The total bill of Julio = $37.60
He leaves a 15% tip.
We need to find the amount Julio left for the tip.
The left amount can be calculated as follows :
[tex]L=15\%\ of\ 37.60\\\\=\dfrac{15}{100}\times 37.60\\\\=\$5.64[/tex]
So, Julio left $5.64 for tip.
What is the volume of a cylinder with a radius of 4 yards and a height of 6 yards
Answer:
301.59 yards
Step-by-step explanation:
Swimming Pool On a certain hot summer's day, 236 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for adults. The receipts for admission totaled $525.00. How many children and how many adults swam at the public pool that day?
Answer:
Step-by-step explanation:
[tex]a+c=236\\ \\ a=236-c\\ \\ 1.5c+2.5a=525\\ \\ 1.5c+2.5(236-c)=525\\ \\ 1.5c-2.5c+590=525\\ \\ -c=-65\\ \\ c=65\\ \\ a=236-65\\ \\ a=171\\ \\ \text{So there were 171 adults and 65 children at the pool that day.}[/tex]
Autumn invested $69,000 in an account paying an interest rate of 6 3/8% compounded continuously. Jayden invested $69,000 in an account paying an interest rate of 6 1/4% compounded quarterly. After 14 years, how much more money would Autumn have in her account than Jayden, to the nearest dollar?
Answer:
4,038.21
Step-by-step explanation:
I'm going to assume that when you write 6 3/8% that equals 51/8%=6.375%
To find the value in the first equation we have
69000*e^(.06375*14)=168,444.5313
The second equation is as follows
69000(1+(.0625/4))^(14*4)=164,406.3243
Subtract the two and get 4,038.2071
Um plz help me!!!!
I will give brainliest
Answer:
15, 30, 45
Hope this helps.
Answer:
15,30,45
Step-by-step explanation:
Hope this Helps!
:)
Write a compound inequality for the graph shown below.
Use x for your variable.
Answer:
[tex]2 < \times \leqslant 6[/tex]
The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold twice as sundaes than banana splits and made $154. Write a system of linear equations to help solve for how many of each type are in your uncle's collection. Define Variables: Lets the number of sundaes sold Let B - the number of banana splits sold
Answer:
i dont want to put the whole example cz like ur school might catch u so u gonna have to do the explainin part srry:( but the answear is 156$
Step-by-step explanation:
a chef made 30 Donuts in 60 minutes. how long would it take him to make 90 Donuts?
Answer:
180 minutes
Step-by-step explanation:
90×60/30= 180
