Answer:
x is equal to one and three fifths, or 1.6
Step-by-step explanation:
[tex]\frac{1}{2}x - 2 = 2(-x + 1)\\\frac{x}{2} - 2 = -2x + 2\\\frac{x}{2} + 2x = 2 + 2\\x + 4x = 4 + 4\\5x = 8\\x = 1.6[/tex]
A shoe salesperson sold 20 pairs of shoes for $640. A brown pair of shoes sells for $30 and a black pair for $35. How many brown pairs were sold? A. 12 B. 14 C. 15 D. 8
Answer:
12 pairs
Step-by-step explanation:
Represent Brown with B and Black with A
So:
[tex]A + B = 20[/tex] --- Pairs sold
[tex]30B + 35A = 640[/tex] --- Amount
Required
Solve for B (the brown pairs)
Make A the subject in the first equation
[tex]A = 20 - B[/tex]
Substitute 20 - B for A in the second
[tex]30B + 35(20-B) = 640[/tex]
Open bracket
[tex]30B + 700 - 35B = 640[/tex]
Collect Like Terms
[tex]30B - 35B = 640 -700[/tex]
[tex]-5B = -60[/tex]
Divide both sides by -5
[tex]B = \frac{-60}{-5}[/tex]
[tex]B =12[/tex]
In 2010, there were 12.4 million citizens of a certain country diagnosed with diabetes. This number of cases represents an increase of about 396% over the number of cases in 1973. How many cases of diabetes were there in 1973?
Answer:
3,131,313
Step-by-step explanation:
Let X represent the number of cases with diabetes in 1973.
An increase of 396% in diabetes cases in 1973 would be;
12.4 million = 396/100 × X
12.4 million = 396X/100
Cross multiply
12.4 million × 100 = 396X
X = [(12.4 million × 100) / 396]
X = 3,131,313
Therefore, the number of diabetes cases in 1973 is 3,131,313 cases
please help me ill give brainliest
Answer:
Ok so I think it might be multiplying or dividing
Step-by-step explanation:
My answer for multiplying is 6,732
My answer for dividing is 46.33333
Answer:
Step-by-step explanation:
There are 561 people.
When you divide by 12 you get 46 complete tables of 12
There are 9 people left over.
You can't round down. You must round up. These 9 people get a table all to themselves.
So you need 47 tables.
Good morning can y’all help me
Answer: The slope is -3
I need help please and thank you !
Answer:
π(12x^3y^5z)^2
Step-by-step explanation:
I doubt your teacher would want you to evaluate the whole thing but if they do leave a comment
For a filed trip the school bought 47 sandwiches for $40.60 each and 39 bags of chips for $1.25 each. How much did the school spend in all?
Answer:
$1,956.95
Step-by-step explanation:
The school bought 47 sandwiches for $40.60
= 47 × 40.60
= 1,908.2
They also bought 39 bags of chips for $1.25
= 1.25×39
= 48.75
Therefore the total amount spent can be calculated as follows
= 48.75 + 1,908.2
= 1,956.95
Hence the total amount spent by the school is $1,956.95
Please Help Fast It’s Pretty Easy a sew both question please and thank you
Answer:
5x-10=60 being vertically plopposite angle .
Answer:
14; vertical
Step-by-step explanation:
since these are vertical angles, they will equal the same;
5x - 10 = 60
add 10
5x = 70
divide by 5
x = 14
"Leo and Stan start to ride their bikes at the same time from the same point on a
circular track. If it takes Leo 36 seconds to complete on revolution around the
track and it takes Stan 40 seconds to make one revolution around the track, how
many minutes will it take for them to meet again at the starting point?
I need help?
Answer:
6 minutes
Step-by-step explanation:
Given
Leo = 36 sec / rev
Stan = 40 sec/rev
Required
Determine the time (in minutes) they'll meet again
We start by getting the multiples of 36 and 40 uptil we get a common multiple.
Leo: 36 = 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, .....
Stan: 40 = 40, 80, 120, 160, 200, 240, 280, 320, 360....
From above, the common multiple is:
Common Multiple = 360
This means that they'll meet at 360 seconds
Convert to minutes
360 sec = 360/60 mins
360 Seca = 6 mins
Hence,it will take them 6 minutes to meet again at the starting point
Doug needs to order 25,000 grams of a supplement. At the store, supplements come in 5 kilograms packages that cost $80 each. What will Dougs order cost ?
Answer:
$400
Step-by-step explanation:
1000 grams in a kilogram
25,000 total grams= 25 kg
25kg/ 5 kg per package
=5 packages
5 packages * $80 each
=$400 total cost
Answer:
1,75678
Step-by-step explanation: multiply it
factories 54m3n + 81m4n2 b) 15x2y3z + 25x3y2z + 35x2y2z
Part a)
Given the expression
[tex]54m^3n\:+\:81m^4n^2[/tex]
Apply exponent rule: [tex]a^{b+c}=a^ba^c[/tex]
[tex]54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn[/tex] ∵ [tex]m^4n^2=m^3mnn[/tex]
Rewrite 81 as 3 · 27
Rewrite 54 as 2 · 27
[tex]=2\cdot \:27m^3n+3\cdot \:27m^3mnn[/tex]
Factor out the common term: 27m³n
[tex]=27m^3n\left(2+3mn\right)[/tex]
Therefore,
[tex]54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn=27m^3n\left(2+3mn\right)[/tex]
Part B)
Given the expression
[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z[/tex]
Apply exponent rule: [tex]a^{b+c}=a^ba^c[/tex]
[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z=15x^2y^2yz+25x^2xy^2z+35x^2y^2z[/tex]
Rewrite as
[tex]=3\cdot \:5y^2x^2zy+5\cdot \:5y^2x^2zx+7\cdot \:5y^2x^2z[/tex]
Factor out common term 5y²x²z
[tex]=5y^2x^2z\left(3y+5x+7\right)[/tex]
Therefore,
[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z=5y^2x^2z\left(3y+5x+7\right)[/tex]
2 questions,Neeed helpppp assssaaaappp!!!
Answer:
(i) (x + 3) is a factor of p(x)= x⁴ + 4x³ + 4x² + 4x + 3 and the remaining factors are (x + 1) and ( x² + 1).
(ii) (x + 1) is not a factor of p(x)= 2x⁴ - 5x² - 2 and the remainder is -5.
Step-by-step explanation:
(i) Given;
Polynomial, p(x)= x⁴ + 4x³ + 4x² + 4x + 3
Factor, = x + 3
x = -3
if (x + 3) is a factor of the polynomial, then p(-3) = 0
p(-3) = (-3)⁴ + 4(-3)³ + 4(-3)² + 4(-3) + 3
= 81 -108 + 36 - 12 + 3
= 0
(x + 3) is a factor of the given polynomial and the remainder is 0.
The remaining factors can be obtained as follows;
x³ + x² + x + 1
--------------------------------
x + 3 √x⁴ + 4x³ + 4x² + 4x + 3
- ( x⁴ + 3x³)
--------------------------------
x³ + 4x² + 4x + 3
-(x³ + 3x²)
----------------------------------
x² + 4x + 3
-(x² + 3x)
---------------------------------------
x + 3
-(x + 3)
---------------------------------------
0
Further divide x³ + x² + x + 1 by x + 1
x² + 1
---------------------
x + 1 √x³ + x² + x + 1
-(x³ + x²)
------------------------
x + 1
-( x + 1)
-----------------
0
Thus, the factors of x⁴ + 4x³ + 4x² + 4x + 3 = (x + 3)(x + 1)( x² + 1)
(ii) Given;
Polynomial, p(x)= 2x⁴ - 5x² - 2
Factor, = x + 1
x = -1
if (x + 1) is a factor of the polynomial, then p(-1) = 0
p(-1) = 2(-1)⁴ - 5(-1)² - 2
= 2 - 5 - 2
= -5
Thus, (x + 1) is not a factor of the given polynomial and the remainder is -5.
Yvonne is interested in testing the effectiveness of a new flea medication on dogs, so she divided some dogs with fleas into two groups, group A and group B. She gave group A the flea medication. Should she also give group B the flea medication?
Answer:
a is the correct answer i just took the test
Answer: No, because group B should be rhe control group
Step-by-step explanation:
What is the y-intercept of y = -3x
Answer:
0
Step-by-step explanation:
The y-intercept of y = -3x is zero.
Answer:
0
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = -3x
Step 2: Break Function
Identify Parts
Slope m = -3
y-intercept b = 0
*We assume that if the variable isn't there, it is 0 or being multiplied by 0.
What is (6,2) rotation 270
Given:
The point is (6,2).
To find:
The image of given point after rotation of 270 degrees.
Solution:
Let the given point be P(6,2).
Rotation of 270 degrees means the figure is rotated 270 degrees counterclockwise about the origin. So, the rule of rotation is
[tex](x,y)\to (y,-x)[/tex]
Using this rule, we get
[tex]P(6,2)\to P'(2,-6)[/tex]
Therefore, the image of given point is (2,-6).
2% of 65 answer fast please
Answer:
2% of 65
2/100*65
13/10
1 3/10
Write the expression shown below in simplest terms.
4/5 (10x - 25) + 25
Answer:
4
0
−
1
0
0
5
+
2
5
Step-by-step explanation:
Brainliest?
Eight people went to a movie and three of them purchased a drink. Write an expression you could use to solve for the total cost if the tickets are $12 each and the drinks are $2.50 each.
Answer:
The expression : 12x + 2.50y
Total cost = $103.5
Step-by-step explanation:
The number of people that went to the movie = x
Number of people that bought drinks = y
Total cost = 12x + 2.50y
Eight people went to a movie and three of them purchased a drink
Total cost = 12 × 8 + 2.50 × 3
Total cost = 96 + 7.5
Total cost = $103.5
Pls help asap! Will give brainliest
Answer:
A and B and C
Step-by-step explanation:
Answer:
i think its B and C
Step-by-step explanation:
X-7=13 what does x equal
Answer: 20
Step-by-step explanation:
To answer these types of questions, you have to think about what number minus 7 would equal 13. You can find out by simply adding 13+7. Then check your answer.
20-17=13 is accurate
How many cubic blocks of side length 1/6 inch qould it take to fill a rectangular prism with a length, width and height of 1/3 inch, 2/3 inch, 2/3, respectively
Answer:
32 cubes
Step-by-step explanation:
I would first determine the volume in inches of the rectangular prism.
V = 1/3 x 2/3 x 2/3 = 4/27 cubic inches.
Then I would calculate the volume of the cube with 1/6 inch sides
V = 1/6 x 1/6 x 1/6 = 1/216 cubic inches.
Then I would divide the V of the large prism by the V of the small cube
(4/27) / (1/216) = (4/27) * (216/1) = 32 cubes
What is the LCD of 2
−1
and 3
+1
?
Answer:
Step-by-step explanation:
What is the least common denominator of 1/3 and 1 2?
The denominator of the largest piece that covers both fractions is the least common denominator (LCD) of the two fractions. So, the least common denominator of 12 and 13 is 6 .
HELP! I need to know how much I got wrong! There are 23 questions on my test but the points are out of 5. When I finished the test, I got 3.26/5. How many wrong?
Answer:
8 wrong and 15 right if every question is the same points
Step-by-step explanation:
3.26/5 is 0.652
15/23 is 0.652 ish rounded
So I assume 8 wrong
I need help please, it’s due in 10 minutes
Answer:
D) 133
Step-by-step explanation:
The total angle of a line is 180 degrees.
If you subtract angle FBE from line FD, you will get angle EBD.
180-47= 133.
The diameter of the circle above is 8 cm. What is the circumference of the circle? (Use = 3.14.)
Answer:
i think it's 25.12.
Step-by-step explanation:
because you multiple 2x3.14×4
Need help
Use <,>,= to make a true statement
The square root of 54_7.4
Answer:
Answer is<
Step-by-step explanation:
the square root of 54 is 7.34<7.4
Who can answer this? .. if u dk it don’t comment thanks ♡︎ .
What is the area of the triangle?
24
10
26
units2
The values of m and n are whole numbers greater than 1. Which is true about the quotient
Answer:
"The expression will always equal m" is true about the quotient of [tex]\frac{m}{n}[/tex] ÷ [tex]\frac{1}{n}[/tex]
Step-by-step explanation:
Let us solve the question
∵ The expression is [tex]\frac{m}{n}[/tex] ÷ [tex]\frac{1}{n}[/tex]
→ In the division of fractions, we change the division to multiplication
and reciprocal the fraction after the division sign
∵ The reciprocal of [tex]\frac{1}{n}[/tex] is [tex]\frac{n}{1}[/tex]
∴ [tex]\frac{m}{n}[/tex] ÷ [tex]\frac{1}{n}[/tex] = [tex]\frac{m}{n}[/tex] × [tex]\frac{n}{1}[/tex]
→ In the multiplication of fractions, we can simplify the terms in
the numerators by the terms in the denominators
∵ There is n in the numerator and denominator
∴ Cancel n up and down
∴ [tex]\frac{m}{n}[/tex] × [tex]\frac{n}{1}[/tex] = [tex]\frac{m}{1}[/tex]
∴ [tex]\frac{m}{n}[/tex] × [tex]\frac{n}{1}[/tex] = m
∴ [tex]\frac{m}{n}[/tex] ÷ [tex]\frac{1}{n}[/tex] = m
∴ The quotient is m
∴ The expression will always equal m
At a constant speed, a car travels 75 miles in 60 minutes. How far does the car travel in 18
minutes? If you get stuck, consider using the table.
your answer is
22.5
good luck :)
For a school picnic, leslie ordered a box of fresh-baked gingerbread cookies and sugar cookies. She got 60 cookies in all. 15 of the cookies were gingerbread. What percentage of the cookies were gingerbread.
Answer:
Pretty sure 25%.
Step-by-step explanation:
First, you would need to see how many times 60 goes into 100, because a percent is ALWAYS over 100. You should get an answer of 1.66666667. Then you if you multiply it to one of the numbers then you have to do it to the other number. So, you would do 15 times 1.66666667. You would get 25. So, that would be 25 over 100 or 25/100. And 25 over 100 is 25%.
I hope I helped! :) Sorry if it's wrong :(