Answer:
Step-by-step explanation:
Solve for
x
by simplifying both sides of the equation, then isolating the variable.
Exact Form:
x
=
81
2
Decimal Form:
x
=
40.5
Mixed Number Form:
x
=
40
1
2
Answer:
x = 81/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
2/3x = 27
Step 2: Solve for x
Divide 2/3 on both sides: x = 81/2Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 2/3(81/2) = 27Multiply: 27 = 27Here we see that 27 does indeed equal 27.
∴ x = 81/2 is the solution to the equation.
how many 1/6 cup servings are in 3/4 cups of pop corn
Answer:
4 1/2 cup servings
Step-by-step explanation:
Answer:4 1/2 cup servings
Step-by-step explanation: 3/4 / 1/6 cups =3/4 *6= 18/4=4
5) Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8
hours more than Week 1. If Phillip earned $540 for both weeks, how many hours did he work
during Week 2?
Answer:
2,160 Hours
Step-by-step explanation:
Ok so usual i would split $540 in half so a number multiplied by two would end up as 540, and i got 270. So since each week we know Phillip earned $270 and $11.25 a hour, we can divide 270 by 11.25, which gives us $24, so that means h = 24, but on week 2 it says Phillip worked 8 hours more on week 2, so that gives us a equation of 8 x 11.25, which comes out to 90, so now we can move on to our final equation, 90 x 24, which equals 2160. Im so sorry if this is wrong
Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.
What is unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Given that, Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8 hours more than Week 1. Phillip earned $540 for both weeks,
The unit rate for the work of Phillip is given, $11.25 per hour.
Therefore, his earning for h hours = $11.25h
For (8+h) hours = $11.25(h+8)
Since, he earned $540 for both weeks,
Therefore,
11.25(h+8) + 11.25h = 540
11.25h + 90 + 11.25h = 540
22.5h = 450
h = 20
h+8 = 28
Hence, Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.
Learn more about unit rates, click;
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3.Salem bought a car for AED 60000 and spent AED5000 on its accessories .Later he sold the car for AED 70000. Find his profit % or loss%
Answer:
7.69%
Step-by-step explanation:
Explanation of the answer is given below:
Car bought for AED 60,000
Accessories for AED 5,000
Total AED 65,000
Car sold for AED 70,000
AED 65,000 - AED 70,000 = AED 5,000
AED 5,000 / 65,000 * 100
= 7.69% Profit
The correct answer is that Salem made a profit of 7.69% on his car.
Does someone knows how to solve this. Step by step?
Completing the Square:
x^2-6x=15
Answer:
[tex]x_1=3+2\sqrt{6}[/tex]
[tex]x_2=3-2\sqrt{6}[/tex]
Step-by-step explanation
[tex]\rule{100mm}{0.5mm}[/tex]
[tex]x^2-6x=15[/tex]
[tex]x^2-6x+\left(\dfrac{6}{2}\right)^2-\left(\dfrac{6}{2}\right)^2=15[/tex]
[tex]x^2-6x+3^2=15+3^2[/tex]
[tex]x^2-6x+9=15+9[/tex]
[tex](x-3)^2=24[/tex]
[tex]\sqrt{(x-3)^2} =\sqrt{24}[/tex]
[tex]x-3=\pm2\sqrt{6}[/tex]
[tex]\red{\boxed{x_1=3+2\sqrt{6}}}[/tex]
[tex]\red{\boxed{x_2=3-2\sqrt{6}}}[/tex]
[tex]\rule {100mm}{0.5mm}[/tex]
Use the table to write the rule (equation) for the relationship between x
and y.
х
у
0
4
1
5
2.
6
Answer:
y = x + 4 or x - y + 4 = 0
Step-by-step explanation:
The relation between "x" and "y" is linear.
Slope of the line m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{6-5}{2-1}[/tex] = 1
Coordinates of y-intercept of the line (0, b) = (0, 4)
Slope-intercept form of a line equation is y = mx + b
The rule (equation) of line is y = x + 4
or x - y + 4 = 0 (in standard form)
What property is 4x + 40 - 40 = 16 - 40
Answer:
Step-by-step explanation:
or,4x + 40 - 40 (subtract and the answer will be o ; no valueit will get )= 16-40
or, 4x = 16-40
therefore, 4x = 16-40
now,
we can also do,
or, 4x= 16-40
or, 4x= -14
i think it will be helpful, plz mark as brainlist plz..
(2x2 – 18)(x+3)(2 – 3) = 2x4 – 36x2 + 162
Answer:
X=4
Step-by-step explanation:
I'm took lazy to explain it step by step sorry, but I'm positive that's the correct answer.
Answer:
4
Step-by-step explanation:
(4 - 18)( x+ 3) (-1)= 8 - 72 +162
-14(x+3)(-1) = 98
14(x+3) =98
x+3 = 98÷14
x+3=7
x= 7-3=4
Ben earns an annual income of $12,800 a year. The income tax he has to pay is 15%. What is the amount of income tax in dollars and cents that the Ben has to pay?
Answer:
$
1
,
920
Explanation:
Find
15
%
×
12800
15
100
×
12800
1
=
$
1
,
920
Step-by-step explanation:
Dora has 20 donuts. she divides those 20 donuts into halves. then she divides those halves into fifths. then she divides those fifths into thirds. how many pieces does she have now?
Answer:
270
Step-by-step explanation:
if u cut a donut in too halfs there are more donuts so 20* 2 is 40 then multiply 40 by 5 since she cuts it into fifths an u get 90 then multiply 90 by 3 since its thirds an you get 270
Answer:
600
Step-by-step explanation:
20 divided by 1/2 is 40
40 divided by 1/5 is 200
200 divided by 1/3 is 600
PLEASE HELP 30 POINTS
Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be? He estimated that he had about $7 worth of groceries. He estimated that he had about $9 worth of groceries. He estimated that he had about $10.30 worth of groceries. He estimated that he had about $10.40 worth of groceries.
Answer:
3 + 1(3) +3 (the dollar amounts)
3+3+3
9
0.5 + 0.1 +0.1 +0.1 +0.5 (the cents)
1.3
9 +1.3 = 10.30 worth of groceries using front end estimation
this is the most simple problem and I can get it right. Please help!
Tyler went to the super market to buy food for a pantry. He has $36, and can carry up to 20pounds of food in his backpack. One package of pasta is the right amount to go with one jar of pasta sauce. What is the best number of packages of pasta and jar of pasta sauce to buy for the food pantry
This question is incomplete
Complete Question
Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar. Let x = the number of packages of pasta and y = the number of jars of pasta sauce. One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry? Explain your reasoning.
Answer:
Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.
Step-by-step explanation:
Let
x = the number of packages of pasta
y = the number of jars of pasta sauce.
He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.
x + 1.5y ≤ 20....... Equation 1
x = 20 - 1.5y
x × $1 + y × $3 = $36
x + 3y ≤ 36..... Equation 2
20 - 1.5y + 3y = 36
-1.5y + 3y = 36 - 20
1.5y = 16
y = 16/1.5
y = 8
And x = 8
Therefore,
Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.
Please help due soon!
A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form?
Answer:
A:y=3x-10
Step-by-step explanation: the rise and run is 6/2 and the y intercept is -10
Each batch of cookie mix need 0.4 cups of sugar, and each batch can make 16 cookies. If Ashley is making 4 batches of cookies, how much sugar does she need?
Can you please explain your answer pretty plz
Answer:
.16
Step-by-step explanation:
All you do is double each number by 4.
Answer:
1.6 cups of sugar
Step-by-step explanation:
1 batch=0.4 cups
So if you want 4 batches, you would have to quadruple the amount of sugar
0.4x4=1.6
Mr. Ciullo says he ordered the same amount of bananas each month for his grocery store last year, and the number of pounds ordered each month is a whole number. The produce company says he ordered $6,150 pounds of bananas last year. Does the produce company agree with Mr. Ciullo?
Answer:
No
Step-by-step explanation:
No, the produce company does not agree with Mr. Ciullo. There are a total of 12 months in a year and Mr. Ciullo claims that he ordered a whole number of bananas each month. Therefore, if we divide the total amount in pounds that the produce company claims that Mr. Ciullo ordered last year by the twelve months in the year then the result should be a whole number...
6,150 lbs. / 12 = 512.50 lbs.
We can see that the produce company is claiming that Mr. Ciullo ordered 512.50 pounds per month last year, which is not a whole number and therefore contradicting Mr. Ciullo's statement.
exposed clout chaser
Answer:
lol thanks for the free points
Step-by-step explanation:
Answer:
Exposed UwU
Have a great day
Help pls i can’t solve this
Answer:
Step-by-step explanation:
5) 121/11 = 11 meals / day
6) 50/10 = 5 min/call
7) 91/7 = 13 books / week
8) 1275 ants/5 ant holes = 255 ants / ant hole
Trey is buying a computer on sale. The original price was $1,200. If the sale price is ⅚ of the original price, how much did Trey pay for the computer?
Type the numerical answer only
Answer:
5/6 of $1,200 is $1,000
The answer is $1000
ps: dont add the ($) only numerical answer
Please help!!!! Will give Brainliest!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
1. after 7 hours, you watch 1 movie
2. after 0 hours, youve watched 0 movies
3. after 14 hours, you have watched 2 movies
What is the value of x y and z
I’ll give brainliest
Answer:
x=2
length y = 4
angle Z = 45
Step-by-step explanation:
x^2 = 2x^2 - 4
put like terms on same sides, lets subtract x^2 to both sides
0 = x^2 - 4
add 4 to both sides
4 = x^2
square root of 4 = 2
x=2
since it is a square, we know all sides are the same length (proof also shown) so y is equal to the other side x^2
y = x^2
y = 4
Angle Z is 45 degrees, because a square has all right angles that are 90 degrees, but a diagonal evenly splits angle into two 45 degree parts.
please give thanks by clicking the heart button! :)
I will give u the Brainly thingy HelPPpppppP ASAP I’m timeeddd and EXPLAIN
Answer:
The first one
The second one
The third one
The fifth one
Step-by-step explanation:
Enter the common ratio for this geometric sequence:
8,4,2,....
Give your answer in its simplest form.
Answer:
/2 each time
Step-by-step explanation:
8,4,2
8/2=4
4/2=2
etc
How can the additive inverse be used to evaluate the problem below?
Negative 3 minus (negative 6)
Answer:3
Step-by-step explanation:
-3--9
-3+9=6
Answer:
Its D
Step-by-step explanation:
100 on quiz
I WILL GIVE BRAINLEST!!!!!!
Frank earned x dollars the first week of his new job. He earned 5% more the
second week than the first week. Which expression represents the total amount of
money Frank earned for both weeks?
A. 1.50x
B. 1.05x
C. 2.00x
D. 2.05x
PLSSS SHOW YOUR WORK PLSSSS
10/3 = x divided by -5/2
x = ?
Answer:
-4/3
have a nice day/night
Answer:
x = -25/3
Step-by-step explanation:
x divided by -5/2 is equal to x multiplied by -2/5
therefore, proportion is [tex]\frac{10}{3}[/tex] = [tex]\frac{-2x}{5}[/tex]
cross-multiply: -6x = 50
x = -50/6 or -25/3
PLEASE ANSWER FAST I NEED HELPPP
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
√39
Step-by-step explanation:
use the Pythagorean Th because the triangle is right
8² = 5² + x²
8²-5² = x²
√64-25 = x
√39 =x
What are some ideas for my girlfriends Christmas present of little sayings I can put in a box in a box in a box in a box. For example, if I got my girlfriend a nose ring in one of the boxes, I could say nobody “nose” me like you do. PLEASE HELP, I NEED IDEAS ASAP, thank you!
Step-by-step explanation:
I don't think she want's a nose ring, Okay start by writing a pretty poem then Give a meaningful necklace. Girl like jewlry
PLEASE HELP URGENT!!! 10 POINTS PLUS BRIANLIEST IF CORRECT!! PLEASE YALL :// HELP!!
Answer:(-4,-6)
Step-by-step explanation: